diff --git "a/data/dm_maths/full_data/1585_11255.jsonl" "b/data/dm_maths/full_data/1585_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1585_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is next in -180, -182, -186, -192, -200, -210?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-5))\/(0 - (-44)\/(-6)). What is the nearest to -1\/2 in t, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -63*m**2. Let b(w) be the third derivative of w**5\/60 - 46*w**3\/3 + 8*w**2. Let j(t) be the first derivative of b(t). Give v(j(z)).\nAnswer: -252*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyeeokoo. What is prob of sequence ooe?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8914000 rounded to the nearest one hundred thousand?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 1074.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-4\/9)*k*k*k**(-29) assuming k is positive.\nAnswer: k**(-238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**4\/3 + 1878*k. Let c(r) = -r**2 - 667*r. Determine c(m(n)).\nAnswer: -16*n**4 - 2668*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 335207 and 7?\nAnswer: 2346449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*j**2 + 19522477287 - 19522477287 + j**3.\nAnswer: j**3 + 280*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.2, -0.06, -1.5, 608\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*k - 561*k**2 + 23*k - 64*k + 1567*k**2.\nAnswer: 1006*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32859235709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12451771 is divided by 12451763.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0. Let x = 555 + -556. Let b = 2 + -1. What is the closest to x in q, 0.3, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.04, 1\/8, -1, 4591, -3 in ascending order.\nAnswer: -3, -1, -0.04, 1\/8, 0.4, 4591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/71 + 181\/((-1297951)\/(-202)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*o**3 + 24*o**3 - 40*o**3.\nAnswer: 41*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let w be k(5). Suppose -80 = -5*s - 5*g, -52 = -w*s + 2*s - 2*g. Calculate the lowest common multiple of 12 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = 7. Let m(o) = 4*o + 1. Let b be m(1). Let q = 212 + -209. Solve 2*r + d = q, b*d - 2*d = -4*r + w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 752 - 751. Solve 2*c - 5 - q = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*7*2*21\/14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and -395.3520702.\nAnswer: -396.0520702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3 + 436*h**2 + 12416*h + 95232 = 0.\nAnswer: -186, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*o - 263, 0*o - 3*o = 5*h - 437. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182 - 119. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + d**2. Let m(a) = -15*a**3 - a**2 - 4. Let k(y) = -m(y) - x(y). Find the first derivative of k(j) wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 5*j. What is y(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037784 divided by -2?\nAnswer: -518892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 1\/2, -11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5a388ab (base 12) to base 9\nAnswer: -35825345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 - 11 - -6 - -11 and 1556?\nAnswer: 7780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2. Let t(g) = -12*g**2 - 4*g**2 + 3*g**2. What is t(x(v))?\nAnswer: -52*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 29. Let r be 376\/6 + (-4)\/m. Let t = 92 - r. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 539 and 490?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4 and -61\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 10:49 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 5*s - 2. Let l(x) = -5*x**2 - 117*x - 9. Calculate -4*f(y) + l(y).\nAnswer: -y**2 - 137*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -598*n**2. Let x(l) = 19*l**2. Determine a(x(c)).\nAnswer: -215878*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*t - 5*p + 15, -t = 3*p - 11. Let a be 2*t + (-13 - -15). Suppose -3*m = -4*m + 5. Solve s + m = -z, 13 = -3*z - a*z - s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*k + 94 + 71. Solve w + 13 = k*t, -5*t + 11 = -2*w - 0*w for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9 - 9*j - j**2 + 1 - 2*j**2 + j**2. Let o(c) = -2*c**2 - 8*c + 9. Let d(s) = -6*o(s) + 5*q(s). Let m be d(-3). Solve -m*h = 2*i, -i - 6*h = -h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2746, -2744, -2740, -2734?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (1 - (-7 - -12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 570 - 575. Let u(r) = r**3 + 3*r**2 - 9*r - 4. Determine u(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t**2 - 62*t - 60. What is b(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1058438 and 14?\nAnswer: 7409066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/((-17)\/(85\/15)). Solve -1 = c + 2*w, 4*c + 4*w - 7 = j*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.04 (b) 2 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*t + 50 + 288 + 115 = -117 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**7\/105 + 4*h**3 - 3*h**2. What is the first derivative of i(n) wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*x + 4*h, -h + 4*h + 24 = -4*x. Which is the nearest to -0.4? (a) 1 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 12:51 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326573117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91684, 367119, 826174, 1468849, 2295144, 3305059?\nAnswer: 4498594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18.14 (b) -5 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1009 + 14?\nAnswer: -995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4 (b) -78 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0030929577 to 6 decimal places.\nAnswer: 0.003093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8964.975 micrograms in kilograms?\nAnswer: 0.000008964975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 - 2*f - 9. Let g be h(-7). Suppose 13 = g*w - 12. Suppose -1 + 4 = z. Solve 2*n = -z*m - 1, 0*m + w*n + 28 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15452 (base 13) to base 4\nAnswer: -21311201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 605886323 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/4))**(-1\/70)*f\/(f\/(f**(2\/21)\/f)*f)*(f*(f**(-2\/7)*f)\/f*f*f)\/f)**(-28))**(4\/5) assuming f is positive.\nAnswer: f**(314\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 12*u**2 - 19*u - 7. Let k be w(10). Let o(r) = r**3 - 3*r**2 + 4*r - 8. Let i be o(k). Let d = -6 + 3. Put -5, d, i in ascending order.\nAnswer: -5, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35537748?\nAnswer: 2, 3, 2961479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 3*w**5 - 3*w**4 - 18*w**3 = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*h + 9249459 = 57*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -5\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92\/3 + -30. Suppose 5*z = 4*p - 35, -3*p + 2*z + 29 = z. Let s be p\/2*(-4)\/8. Put 2, s, t in descending order.\nAnswer: 2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 19)*3 + 4\/(-2). Suppose 0 = -16*s + 5*s + g. Calculate the remainder when 7 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -795650*q - q**3 + 795650*q + q**2 + 46*q**4 + 2 in the form s*q**2 + w + v*q**4 + f*q**3 + c*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1580866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5880, 11808, 17752, 23718, 29712, 35740?\n\"Answer: d**3 + 2*d**2 + 5915*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/108*-3*(-234)\/(-156).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppvpponepe. What is prob of sequence pppe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 10 - 10 + 22)*(-17 + 22 - 13)*(-3 + 3 - 2).\nAnswer: -32*b + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38611640 and 1560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32307 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 20. Let v(q) = -q. Let k(g) = -i(g) + 2*v(g). Let s(o) = 2*o**2. Give k(s(n)).\nAnswer: -2*n**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r - 26. What is d(6)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 3 (b) 2\/3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 14*f + 2. Let l(t) be the second derivative of t**4\/6 + 7*t**3\/2 + 3*t**2\/2 + 312*t + 9. What is -5*l(h) + 8*n(h)?\nAnswer: -2*h**2 + 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*j + 13*j**3 + 75*j + (4 - 3*j - 4 + (-j - 2*j + j)*(2 - 3 + 2))*(45 + 2594*j**2 - 2592*j**2 - 194) in the form p + v*j**2 + t*j**3 + i*j and give i.\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.1 and 0.198.\nAnswer: -1.2078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 17. Let c(t) = t**2 - 14*t + 1. Is 24 a factor of c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 = -5*z, 0 + 2 = -w. Let f(u) = -4*u**3 - 2*u - 1. Suppose 0 = 5*k - 33 - 62. What is the remainder when k is divided by f(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.1. Let u be (-2)\/(-28)*-2*2. Let h = -2.94518 + 3.44518. Sort h, v, u in decreasing order.\nAnswer: h, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -2*u**7 - u**6\/30 + 883*u**3\/6 - 2*u + 156. What is the second derivative of l(m) wrt m?\nAnswer: -1680*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 132 = f, 0*f = f. Let z = 36 + q. What is the first derivative of 4*s + 5*s - 1 + 9*s**z - 9*s wrt s?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1418849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*z + 1532*z + 2091*z.\nAnswer: 3133*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 221*s**3 + 128*s**3 - 1839*s + 94*s**3 as n*s**3 + g*s + y + z*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3171, -2, 1, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 477893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 19) + (136 - (-25 + 182))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -981*p**2. Suppose -o - 33*j - 24 = -28*j, -4*j - 32 = 4*o. Let z(y) = 49*y**2. What is o*c(a) - 81*z(a)?\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.15 - 10.15. What is the closest to m in -2\/3, -8, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -u - u. Let n = u + 8. Suppose 0*x + 5*p = -x - 3, -4*p = n*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(2*s + 4*s - 4*s)*(4*s + 4*s - 6*s) + 0 + s**2 + 0 + s**2 - 3*s**2 + s**2 + (2*s + 0 + 0)*(-3*s + 5*s - 4*s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.1, 0, -2\/9, -4 in decreasing order.\nAnswer: 0, -0.1, -2\/9, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3*(-6 + (-1)\/(2790\/(-16835))) and 24\/5.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-30))\/((-103443)\/(-2870) + -36)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -815 - -821. List the prime factors of k - (-1872 + 6 - 6).\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.46 and 9922.\nAnswer: 9937.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35, -178, -423, -770, -1219, -1770?\n\"Answer: -51*i**2 + 10*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/24476 and -27\/4.\nAnswer: 24476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -8. Let t = k + 6. What is the smallest common multiple of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 - -2 - -4 - (-101 - (69 - 156))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -10*w - 3. Suppose 0 = -2*s + 3*x + 50, 0*s + 5*x + 104 = 4*s. Calculate the remainder when s is divided by v(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 1854.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (8\/48 - (-195)\/18)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 12, 3*v + 12 = -5*z + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**3 - 4*c**3 - 8*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/46736 and -53\/6196.\nAnswer: 72394064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/48 and -101\/2400.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**7\/105 - w**6\/5 - 23*w**5\/15 - 5*w**4 - 25*w**3\/3 + 35*w**2. Factor z(p).\nAnswer: -2*(p + 1)**2*(p + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d + 20. Let u be q(-7). Let c = u - 63. Let j be (-2200)\/(-6)*(c + 14). What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -959*r + 4797. Let j be u(5). Let w(i) = -1 - 2*i - 2 + 0 - 4. Let m be 3*10\/(-12)*2. Let s(x) = -x - 3. Give j*w(z) + m*s(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**3)*v**(-9)*v\/(v**(3\/5)*v*v)*v*v*v\/v**(-2\/11) assuming v is positive.\nAnswer: v**(-243\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o**2 - 25*o - 34. Determine s(9).\nAnswer: -745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*p**4 + 3*p**4 - 10*p**4 - 4*p**4 + 6*p**4 + p**4 + (2*p**2 - 2*p**2 - 2*p**3)*(-p - 2*p - 2*p).\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from bbbssbsssbssb.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/10*(-2390)\/1912. Determine m so that 9\/4*m - 3*m**2 + 0 - 3\/4*m**5 - q*m**3 + 3*m**4 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/4 and 87\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vluls. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-20)\/(-3))\/(-5))\/((-204)\/(-36) + -5). Let z = 14 + -49. What is the nearest to 2\/5 in z, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241 + -95. Let f be (-14)\/35 + i\/(-10). Let x = 31 + f. What is the greatest common divisor of x and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 21 = -28*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*a - 45, 0 = -b - 2*a - 0*a + 6. Let r be (2\/137 - b) + -4. Does r = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 2*q + 0*q**2 + 0 - 1\/3*q**3. Let v(z) = 3*z**2 - 31*z + 31*z. Give v(k(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/117 and 71\/12.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13 - -0.33. Let k = -0.07 + -1.93. Which is the second smallest value? (a) -5 (b) s (c) -1\/3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -11*q + 1827. Suppose -g + q = 4*b - 375, 0 = 2*b + 10. List the prime factors of g.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o + 172*o**2 - 162*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 r when four letters picked without replacement from vfffrvuufrfryrfryff?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 435 = -106. Which is smaller: -46 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14225240 (base 7) to base 5\nAnswer: -320200041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 j when four letters picked without replacement from {l: 13, n: 3, j: 3}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 179 and -0.10154534.\nAnswer: 178.89845466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 10:44 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 53. Let b be (-108)\/(-36) + -1*1 - 5. Put x, -5, b, -2 in descending order.\nAnswer: x, -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4062 >= 4062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4, 8, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20767 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085813 is divided by 135710.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 1. Let c(l) = -11*l**3 - 4*l**2 - 6. Let t(z) = c(z) + 6*h(z). Find the third derivative of t(w) wrt w.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -21576, -1, 0.3, -0.2, -1\/3, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 87*o + 172. What is x(0)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0*v + 5*r + 23, -4*r = -3*v + 18. Solve 0*f = -v*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 7*k + 7. Let c be g(6). Let h = c + -3. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-2)\/(-10))*(-1500)\/(-9900).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 99.05794 grams?\nAnswer: 99057940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88667442 divided by -83491\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -74 - (-119 + 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3188 or -663225\/208?\nAnswer: -663225\/208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -21*a**2 + 28*a**2 - a**3 + 1 - 2*a - a. Let g be (-21)\/(-4) - 2\/8. Is w(g) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**5\/15 + 488942*j**4\/15 + 2988376832*j**3\/3 + 22411726132*j**2\/15 - 244468*j\/15 - 7470575378\/15 = 0. What is j?\nAnswer: -61117, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660 a factor of 151106480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 10 + 40 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83631 is divided by 11686?\nAnswer: 1829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4068 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 10 - 55. Suppose -2*q = -d + 3 + u, 5*d - 27 = -q. Factor -7*g + 4*g**2 + 2 - 2*g**2 - 3*g**3 + d*g**2.\nAnswer: -(g - 1)**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124110 (base 6) to base 7\nAnswer: -44604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209.4 + 210. Let q = -1.1 + 0.4. Let k = v + q. What is the smallest value in k, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-72)\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(324) - sqrt(324))\/sqrt(3).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*n**2*q*w - 67*n**2 + 4*n*q*w + 2*n*q - n*w + w wrt q.\nAnswer: -44*n**2*w + 4*n*w + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 8. Let y be x(8). Suppose y = -3*s - 15, j + 5*s + 157 = 4*j. Suppose -3*a - 5 + j = 0. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5789, 5 in ascending order.\nAnswer: -5789, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one thirds of a year?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 - (1 + -5 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 12*x + 19. Let g(f) = 5*f + 1. Let v be g(-3). Let a be m(v). Find the common denominator of 249\/a*3\/8 and 33\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (297\/285)\/3 + (-163)\/(58680\/144)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8841 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188414, -188420, -188432, -188456, -188498?\nAnswer: -188564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-4))\/((-45)\/900). Put 3, 1, 2, y in descending order.\nAnswer: 3, 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 3 - 3 - 5579*r**3 + 5315*r**3.\nAnswer: -264*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/5 + (-20)\/1550*-31. Solve 0 = -23*l + x + 63 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 45*g**2 - 26. Let j(x) = -x**2 - 3. Let l(f) = f**2 + 2. Let q(i) = -2*j(i) - 3*l(i). What is q(p(o))?\nAnswer: -2025*o**4 + 2340*o**2 - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-7) assuming t is positive.\nAnswer: t**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -8 - (-2 - (-2 + -1)). Let f = q - -13. Put -2, f, -5 in decreasing order.\nAnswer: f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108, 98, 82, 60, 32, -2?\n\"Answer: -3*x**2 - x + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 141634851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 11.3?\nAnswer: 146.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 88. Suppose -4*p - h = -7*p. Suppose 4*w - 52 = 148. Calculate the remainder when w is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 82185 + 65680. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwaw. Give prob of sequence awww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 8236.\nAnswer: 8232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*b)*(-4*b - 212 + 9*b + 214).\nAnswer: -15*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42\/5 of a centimeter?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4804.585 millennia?\nAnswer: 48045.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 13 (c) 0.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 876159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -3*z + 0 + 1\/4*z**4 - 1\/2*z**3 + 3\/20*z**5 - 1\/10*z**6 + 0*z**2. Suppose h(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*x = -377*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let h = -2544 - -2543. What is the closest to h in 2\/7, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29260\/9856 - ((-4)\/(-2) + 1).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 25*r**2 - 146*r - 899. Calculate l(-27).\nAnswer: 1585","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = -6. Let q(b) be the first derivative of -53*b**2\/2 + 4*b - 1. Is q(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 + 0*q**2 - 4*q - 2*q - 2 - 21 + 11*q**2 + 21 + q**2 + 1 - 1 + (2 + q - 2)*(-4*q + 3*q - q) + 3*q**2 + 0*q**2 - 5*q**2.\nAnswer: 6*q**2 - 6*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 11*g - 10 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025081 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1630, -820, 0 in ascending order.\nAnswer: -1630, -820, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110010011 - -110111110?\nAnswer: -111111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9525 - -1195.\nAnswer: -8330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s - 4. Let i(o) = 51*o - 42. Let r be 81\/(-4) + 33\/(-44). Let y(q) = r*h(q) + 2*i(q). Let a(v) = -5*v**2 + 12*v. What is y(a(z))?\nAnswer: 15*z**2 - 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1079*d - 17217. Calculate f(-16).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(684) + 2 + (sqrt(209)\/(sqrt(99)\/(sqrt(36)\/sqrt(4))))**2)*6.\nAnswer: 120 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 21. Is i less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59733.67 rounded to the nearest one hundred?\nAnswer: 59700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(9)*5 + sqrt(9))*1)\/(-1*4*sqrt(3)))**2.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6 = -3*c. Let d = 11 + -7. Suppose -3*y + 34 = -s, -c*y - d*s + 22 = -2*s. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-645)\/(-258))\/(4\/(-16))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3\/4 (b) 59 (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 2 = 47. Suppose -7*y - u - 25 = 0. Let c(b) be the third derivative of -b**6\/120 - b**5\/10 - b**4\/4 - b**3\/2 + b**2. Determine c(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -2\/2437 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:31 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3300 divided by 3\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*o + 19770087, -6*o + 19770087 = 3*t - 2*o. Let m = -2730029 + t. Round m to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2326, 3, -4, 2\/3?\nAnswer: -2326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 41*n - 2 = -43*n, -4*q = -3*n - 4. Is q <= 3\/862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1892 = -278*z - 2 + 226 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 1)*(2*l - 2*l + 3*l) in the form c + m*l and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -699567 divided by 13717?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 308, 6127, 15826, 29405?\n\"Answer: 1940*d**2 - d - 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/7)*o*(o*o**(-7))\/o)**(-16)*(o*(o**(2\/11)*o)\/o*o\/o**(-1\/12))**(-15\/7) assuming o is positive.\nAnswer: o**(30185\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*m = 330*m - 28898 + 8567 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -210423.\nAnswer: 23\/210423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 459 - 327. Let c = r + -122. Suppose 0 = a + 2*a. Solve a*j - 2*p - c = 3*j, 5*j = -5*p - 20 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + (-5*(sqrt(99) + 2*sqrt(99)) + sqrt(99) - sqrt(99)))\/sqrt(9) - (sqrt(77) + -1*sqrt(77)*1 - sqrt(77))\/sqrt(7))**2.\nAnswer: 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/24*(-1086)\/20. Let i = 36 - n. Which is the closest to -2? (a) -0.5 (b) i (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.9*126150.8.\nAnswer: -7051829.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -235 - -240. Let s be ((-5)\/1)\/(i\/(-6)). Let z(v) = -8*v**2 - 4. Let w(a) = -7*a**2 - 3. Give s*w(t) - 5*z(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (23 - (-10 + 6) - (-1 + 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q*q*q**4*(q**(1\/5)*q)**(-47))\/((q**2)**(-7\/5))**(-8\/9) assuming q is positive.\nAnswer: q**(-548\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 3 - 3)*(-30*s**2 + 106*s**2 + 102*s**2) to the form b*s**3 + q*s + t*s**2 + k and give b.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 259881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 2*z**2 - 5*z. Let f(n) = 8*n**3 + 13*n**2 + 14*n + 10. What is 3*c(h) + f(h)?\nAnswer: 11*h**3 + 7*h**2 - h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*(sqrt(132) - sqrt(132)*-3 - sqrt(132)))\/(-1*sqrt(12)*3))**2.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/83865408 and -89\/528.\nAnswer: 83865408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -16, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 15 - 20, 2*z - b = 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 157*s**2*u + 3*s*u**3 + s*u**2 - 5*u**3 - 4482*u**2 wrt s.\nAnswer: 314*s*u + 3*u**3 + u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 617*n - 5550. Let u be f(9). Solve 0 = u*v, -379*q - 3*v = -378*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**3*z**3 + 102*m**3*z + 5*m**2*z**4 - 9*z**2 wrt z?\nAnswer: -12*m**3*z + 60*m**2*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-11299)\/(-9) + (-308)\/693 and 40.\nAnswer: 10040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 146120116 divided by 36530029\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 9*d**2 + 35*d + 4. Calculate the lowest common multiple of 46 and t(-4).\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.84 + -0.04. Let u = q - 3. Which is the nearest to -1? (a) 4 (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 64 = -12*d. Let r(j) = 2*j - 12. Is r(d) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4592 or 4590?\nAnswer: 4590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 129 (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -350*i + 9947*i**2 - 3089*i**2 + 350*i + 5646*i**2 to the form z*i**2 + y + p*i and give z.\nAnswer: 12504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*g**2 + 204*g**2 - 109*g**2 + 260*g**2.\nAnswer: 516*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**4 + 9*i**4 + 8*i**4 - 2 + 2 - 3*i**4 + (-i**3 + 5*i**3 - 2*i**3)*(-i + i - i) + 0*i**4 + i**4 - 2*i**4 + 0*i**4 - 3*i**4 - i**4.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 + (-34)\/(-102)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 63939500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 221\/4)*(-14834)\/(-66753)*-3*2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {t: 5, x: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 90, 87, 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.924985ml in litres?\nAnswer: 0.001924985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -10*a**2 + 15*a - 15. Let d(r) = -2*r**2 - 9*r + 6*r + 4*r**2 + 3. Let k(l) = -11*d(l) - 2*z(l). Give k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 2*f**3*j - 13*f**2*j - 787*f*j wrt f?\nAnswer: -24*f**2 - 12*f*j - 26*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - s = -6*s - 34, 3*s = -15. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 9*r**2 - 7*r + 16. Suppose 0 = 4*g - 10*l + 7*l + 29, 5*g - 2*l = -38. Calculate t(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(36\/15)*-3. Let a be (42\/140)\/(18\/(-8)). What is the nearest to -0.8 in a, -3, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17))*6 + -1 + sqrt(17) + 0.\nAnswer: 5 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) 0 (c) 0.075 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 503\/35 - 69\/5. Put -6\/5, -2, x in increasing order.\nAnswer: -2, -6\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4041 or -4040?\nAnswer: -4041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 28 = 3*j - 22, -4*j + 110 = 2*n. What is the remainder when 647 is divided by n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 5*a**2 - 4*a + 3. Let h be f(4). Suppose -2*b = -h*b. Suppose -3*s = -b*s - 4*j - 34, 2*s - 51 = -3*j. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4078 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = 4*l - 4, -2*n - 2*l + 10 = 0. Let g = 3 - n. Let j = g - -1. Solve -4*y = -j - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 6*w + 5580*w**3 + 12*w.\nAnswer: 5580*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -439*l + 17. Let c(z) = -443*z + 17. Let j(s) = 3*c(s) - 2*t(s). Let d be j(-1). Calculate the greatest common factor of d and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1529 (base 11) to base 15\nAnswer: -8b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iixx when four letters picked without replacement from iiixxiiiixiiix?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**2 - 2. Let p(m) = 0*m**2 + 4*m + 9*m - 5*m + 5 - m**2. What is the lowest common multiple of z(-2) and p(7)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)*(6121 + (-30)\/(-10)). Is k\/(6 - 4)*1\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -1128.\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-5\/6)*s)\/s))\/(s\/s**(-3))*(s*s**(-2\/5))**(3\/35))\/((s\/s**(-1)*s)\/(s*s\/(s**6*s)))**(-28) assuming s is positive.\nAnswer: s**(232979\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 = 2. Let c(d) = d**3 - 4*d**2 + 2*d - 3. Let o be c(m). What is the second derivative of 4*r + 3*r**2 + 2*r + r**2 - o*r wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 37, 49, 45, 19, -35, -123, -251?\n\"Answer: -f**3 + f**2 + 26*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 25*r**2 + 257*r - 824. Calculate h(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + y - 4*y + (y + 0 + 0)*(1 - 3 + 3) + (-2*y - 5*y + 3*y)*(0 - 2 + 0).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -12 - (-29 + -5 + -8 + 9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:03 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11836 = 12*i - i. Let o = i - 580. Suppose -2*a - 5*p + 744 = 0, -5*a + 5*p + o = -1434. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 27*u - 103. Suppose 3*s - 15 = -2*s. Suppose o + 5*v + 8 = 0, 2*o + s*o - 68 = 2*v. Calculate the remainder when z(6) is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 252, 302, 384, 510, 692?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194 and 7.\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4926.562 weeks to hours.\nAnswer: 827662.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - -9.6. Which is the smallest value? (a) -2\/13 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 10590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104581582?\nAnswer: 2, 7, 1067159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 3*g + 3*g**3 - 3*g.\nAnswer: 3*g**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -35*a**3 + 5*a**2 - 5. Let b(w) = 17*w**3 - 2*w**2 + 2. Let g(f) = 10*f**3 + 6*f**2 + 2*f + 1. Let r be g(-1). Determine r*b(k) - 2*p(k).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 17*d**2 - 14*d + 9. Give p(-18).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118 + 1021?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = -19*d - 12. Let p(a) = -a**3 - 5*a**2 - 2*a + 7. Let f be p(d). Are 2\/107 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c + 8, -4*h + 5*c = -84. Suppose -i + 6*i = 20. What is the least common multiple of i and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*j - 90. Let h = 12 - j. Let u = 6 + 4. Calculate the highest common factor of u and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**2 + s**2 - 4 + s**2 + 0*s**2 + 3*s. Is v(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -344, -315, -266, -191?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 19. Let d = 8 + k. Suppose -3*i = d*p + 2*i - 481, 4*i = 3*p - 733. What is the highest common divisor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.695 rounded to 1 decimal place?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27090\/430*1\/(-6).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*j)*(5 - 1 - 3) + 4 - 4 + 6*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-310)\/8)\/((-30895)\/(-24716)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-48) + 52\/16. Suppose z*j - 318 = 276. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**2 - 4*x**2 + 4*x**2)*(-394*x + 533*x + 1017*x + 336*x + 893*x) as o*x**2 + a + c*x**3 + m*x and give c.\nAnswer: -4770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21674, 305, 5, 2 in descending order.\nAnswer: 21674, 305, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 40 + t - 225 + 20 - 168.\nAnswer: t - 333","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47.1 and -3.\nAnswer: 141.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/32 and -101\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27141.\nAnswer: 3, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 + 38\/(-2)*-2 is divided by (-124)\/(-12) + 4\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 5*l + 5. Let z be k(4). Let f = z + 57. Suppose 5*r + 3*h = r + 59, 2*h = 2. Calculate the remainder when f is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660870, -660869, -660868?\nAnswer: -660867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 60*n**2 + 3*n + 13. Let u be s(21). Let z(b) = -u + b**3 + 26535 + 2*b**2 + 7*b**3. What is z(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*m + 47*m + 116*m - 26*m + 507*m.\nAnswer: 1075*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5434234282824+0.42\nAnswer: -5434234282823.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2\/4 + 6317*j\/2 = 0 for j.\nAnswer: -12634, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 - -91.8. Let f = -3 - -5. Let a = 0.4 - 0.7. What is the closest to h in -3, f, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2320 and 59375180.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4665705887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28 minus -0.8?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 5, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 12*u**3 - 3*u**3 - 2*u - u**3 - 3*u**3 as p*u + n*u**3 + f*u**2 + l and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13396531 + 232?\nAnswer: -13396299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 32\/79?\nAnswer: 32\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 3402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -4. Solve -4*w - 2*a - 6 = 0, 4*w + 5*a - t = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 + -0.7. Let g = -36 - -18. Let j be -3*((-16)\/g)\/(-4). Is j at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/21)\/(12\/14). Let h(z) be the first derivative of 1\/9*z**3 + 0*z + 2 + u*z**2. Find w, given that h(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-4)\/32). Let c(r) = r**2 - 5*r + 4. Let g be c(h). Suppose -4*k + 20 = g, 0*k + 23 = 2*d - 5*k. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymydydymlymmmmdm. What is prob of picking 1 y and 1 d?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 1\/5, -0.06, -2\/17 in increasing order.\nAnswer: -3, -2\/17, -0.06, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*i**3\/2 - 337*i**2 + 52*i.\nAnswer: -i*(i + 52)*(13*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 - (28 - 68) - (2 - ((0 - 2) + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2104 + -2107. Which is the second biggest value? (a) -0.17 (b) -0.2 (c) 1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 1\/18*j**3 - 1\/36*j**4 + 1\/180*j**5 - 1\/18*j**2 + 0 + 4*j. Factor g(t).\nAnswer: (t - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 7 = 5*m - 26, 3*m - 4*x - 22 = 0. Let g(a) = 2*a**2 - 5*a - 5. Calculate the smallest common multiple of 1*m + (5 - 5) and g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 - 8.08. Let q = 9 + x. What is the closest to -1 in 0.3, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146927412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 + 2 - 0) - (12 - -18)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28525131, -57050269, -85575411, -114100557, -142625707?\nAnswer: -171150861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13679954 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36205 is divided by 302.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 994080591?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-18)\/22 - -1) + 14\/(-77). Suppose 4 - 7 = -v, 5*w - v - 27 = d. Calculate the remainder when 14 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/2)\/(8*-1))\/(2125\/(-300))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063375381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -10. Let s = 3 - 2.5. Let b = -0.050624 + -0.049376. What is the closest to b in q, -1\/2, s?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c. Suppose -7*i + 5*i + 246 = c. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -509178 plus -0.1?\nAnswer: -509178.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17475)\/(-233)*(-2)\/(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.95 - 1.95. Let o = 0 - 5. Which is the closest to x? (a) 0.4 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + 172. Suppose -1591 = -s - l. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 899640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.024 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -353823*w - 3 + 353993*w - 2*w**4 - 2*w**2 + 6 as j*w + z*w**3 + l*w**2 + s + r*w**4 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2 - 151*v + 12. What is p(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 + 10\/6. Let n be (3\/a - 2)*-20. Suppose 4*h = -h + 450. What is the greatest common divisor of h and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g + 70 = 3*f, 0 = 2*g - 3*f - 131. Suppose -3*j + 47 = -g. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165085152 by 2.\nAnswer: -82542576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 3.7, 2, 0.53?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225620 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 29 (b) 31 (c) -1\/130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49148 - 1308 = 20*u. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/9 + -134\/63. Which is the smallest value? (a) m (b) -4 (c) 0 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.3 + 2.2. Let k = o + 0.7. Let n = -2\/133 + 145\/798. Sort k, n, -1\/2 in descending order.\nAnswer: n, k, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*p = -5, 5*p = 2 + 3. Suppose 3*s - 42 = -v*s. What is the remainder when 41 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617249110.\nAnswer: 2, 5, 61724911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 28429 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -v**5\/20 - 7*v**4\/12 + v**3\/2 + 19*v**2 - 2972*v. What is k(-7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -111.6 - -112. Let r be (-1)\/(-2) - (0 + 1). What is the third smallest value in u, r, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 28908.\nAnswer: 144540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 2:21 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -4*n + h, 1 = -2*h - 5. Let r(g) = -12*g - 34. What is the hundreds digit of r(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 24*p - 1443. Give l(-29).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(16)*2*1)\/(sqrt(48)\/((-4*sqrt(72) + sqrt(72))\/sqrt(12))))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - l + 6. Let x be q(2). Suppose -3*m - v = -9, 3 = 5*m + 4*v - 5. Let b be (-475)\/7 + (-405)\/(-105) + -4. Put x, m, b in increasing order.\nAnswer: b, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 8*w - 90. Solve 6*n = -5*k + 2*n - 2, 3*k - 3*n - w = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 4. Let w be (-16)\/1 - (8\/(-2) + 3). Let p = w - z. Put p, -6, -1 in descending order.\nAnswer: -1, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -14*f**2 + 5*f + 15. Let k(n) = 9*n**2 - 3*n - 11. Give -7*k(h) - 5*w(h).\nAnswer: 7*h**2 - 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23007113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*l + 475 = 0, 2*z - 95 = z + 3*l. List the prime factors of z.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**3*s*w - 8*b**3*s - b**3*w**2 - 1296*s*w**2 + 19*s*w wrt w?\nAnswer: -2*b**3 - 2592*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/6)*y*y)\/y*y*y*(y\/(y\/(y*y**(2\/7))*y))\/y*y)\/(y**(-2)\/y)**(-3\/32) assuming y is positive.\nAnswer: y**(2131\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549699?\nAnswer: 3, 97, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 102. Is (-19254)\/b*(-2)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*y**3 - 7 - 8 - 135*y**3.\nAnswer: -2*y**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 175 = -7*s. Let u(b) = b**3 - 22*b**2 - b + 24. What is the smallest common multiple of (-6)\/(6\/(-4) + 1) and u(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1029708, 2059518, 3089342, 4119186, 5149056, 6178958?\nAnswer: 7208898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1735713?\nAnswer: 3, 7, 27551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - w - 7. Let i be c(-6). Let g be (-7)\/i - 21\/(-5). Suppose 0 = g*f + 5*y - 3*y - 534, 3*f + y = 403. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-10)\/(-16))\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*y = -d - 9, 0 = -3*d + 4*y + 15. Is d at most as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x + 8*x**3 - 40*x + (5 + 6*x - 5)*(8*x**2 - 7*x**2 - 8*x**2) to the form v*x + y*x**2 + a*x**3 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 29*x - 559. What is the remainder when 27 is divided by u(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 1)*((-20)\/(-3800)*57)\/((-66)\/10). What is x in -8\/11 - v*x**2 + 10\/11*x = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12962, 26305, 39584, 52793, 65926, 78977, 91940, 104809?\nAnswer: 117578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 11:37 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -774 by 6.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Let l = b + 1. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 8, 4, 0, 12 in descending order.\nAnswer: 12, 8, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*((-12)\/4)\/(-15)*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - b + 66, -2*s - b - 118 = -7*s. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3250 + -1330. Suppose -8*p - h = -13*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**6\/30 + 82*s**5\/15 - 266*s**4 - 2352*s**3 + 6*s**2 - 44. Suppose t(b) = 0. What is b?\nAnswer: -2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 253000 to the nearest 1000.\nAnswer: 253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71200 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*c**3*i - 2*c**3*k**2 + 276*c**2*k**2 - 4*c*i*k**2 + 2*c*k**2 wrt i?\nAnswer: 63*c**3 - 4*c*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 230\/583 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7 + 0*o + 2*o + 7. Let g(a) = -a**2. Determine y(g(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*u**2 + 5*u - 108 + 9*u**2 + 7*u**2 - 12*u + 10*u**2 + u**3 to the form f + o*u**2 + n*u**3 + i*u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o**2 + 1. Let i(d) = 2*d**3 + 2*d**2 + 7. What is -6*a(f) - i(f)?\nAnswer: 4*f**3 + 4*f**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Let y be 10 + ((-3)\/(-9) - 198\/27). Solve -2*h**3 - y*h**2 + 7*h**2 - 2*h + 5*h + i*h**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 5*q - 7, -166*q + 85*q - 4 = -5*o - 80*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(539) - (1 + 1 + sqrt(539))) + -3)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 10500?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28613 - -61300. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.88257 rounded to zero dps?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-4*sqrt(80))\/sqrt(4))\/(-6*(sqrt(10) + (sqrt(90)\/sqrt(9) - sqrt(10)))*-1).\nAnswer: 8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/36)\/1*45\/10.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10111001201020 (base 3) to base 16\nAnswer: -1c403a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 + x**4 + x**4 + (-7*x + 4*x + 2*x)*(24*x**3 + 17*x**3 - 17*x**3).\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 - 43*q + 66. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14637151 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 12*h - 372. Is h at least as big as 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -45*f**4 + 4*f**3 + 4*f + 60. Let p(b) = b**4 + b**3 + b - 1. Let c(u) = -k(u) + 4*p(u). Differentiate c(d) with respect to d.\nAnswer: 196*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10551 a factor of 6740200371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22)\/(-1) - (-16 - -18). What is the highest common divisor of 140 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 1. Let i(d) = -4*d + 1. Let s(r) = r - 4. Let m be s(6). Let c = 19 - 19. Suppose c = 4*g + 7 - 11. Determine g*i(x) + m*l(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6805 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163 (base 12) to base 8.\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -3\/5, -15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 401*g**3 + 95*g**2 - 10*g + 10. Let h(q) = -73*q**3 - 19*q**2 + 2*q - 2. Calculate -11*h(p) - 2*x(p).\nAnswer: p**3 + 19*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55992 is divided by 459.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -a + 384, -3*a = a - 4*h - 1548. Suppose 2*l + l = a. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49469755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - (147 - 97)) + 56\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxxxtxtkktt. Give prob of picking 2 t.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 12*u + 14. Let p(n) = -n**2 - n + 1. Let t(y) = 2*o(y) - 28*p(y). Find the second derivative of t(k) wrt k.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 - y + 7. Let a(f) = 11*f**2 - f + 2. Give -3*a(c) + 2*n(c).\nAnswer: -15*c**2 + c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 10.5. Let o = -1.66 + 5.79. Let f = -0.13 + o. What is the closest to -1\/3 in j, f, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 - 4 = 0. Suppose -35 = -2*f - k*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let k(g) = -16*g + 34*g - 20*g. Give u(k(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4306*z**3 - 3*z**2 + 3*z + 4595. Let y(t) = 12918*t**3 + 8*t**2 - 8*t - 13781. Let p(f) = 8*w(f) + 3*y(f). Find the first derivative of p(x) wrt x.\nAnswer: 12918*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119 - -4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-34)*(-2557242)\/(-4932)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 13*r + 5. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75158696 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2596 + 2595.8. Is s not equal to -3\/349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*i + 423, i - 67 = -3*j + 74. Suppose q + 0*q + 2*b = 147, -i = -q + b. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-1)*g))**(1\/4))**(-40) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 3 = 2*n + 35, 0 = -2*n - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a = -7. Suppose 4*h - 151 = -4*q - q, -2*q = -6. Let z = h + a. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203932.5 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1335 + 2614. List the prime factors of d.\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74.0615 - -74. Let c = w + -0.5341. Let r = c - -0.6. Round r to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*c + 20*c + 34*c)*(2*c**3 + 0*c**3 - 5*c**3).\nAnswer: -228*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/916?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 6572*a**3\/3 - 2437*a - 1057. What is the first derivative of z(j) wrt j?\nAnswer: 13144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334688.376 rounded to the nearest one hundred?\nAnswer: -2334700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - c**2. Let t be q(2). Suppose -3*d - 2*i + 50 = 0, -1 = 3*i - t. Calculate the remainder when 78 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-18)*(259\/28 - 10). What is the nearest to 2 in 3\/10, f, -1\/4, -3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5902 (base 10) to base 2.\nAnswer: -1011100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134115694*d**2 + 2069*d - 44469?\nAnswer: 268231388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p\/(p\/(p\/p**4))*p*p**6*(p\/p**(-1))**13*(p*p\/((p*p**(-1\/7))\/p)*p*p\/(p**(1\/4)*p))\/(p**(-2\/5)\/p**(-1\/3)) assuming p is positive.\nAnswer: p**(14683\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 14*f + 15. Does 13 divide o(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 37. Let a(c) = -4*c - 37. Calculate -5*a(v) - 6*r(v).\nAnswer: 2*v - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3985 - 3?\nAnswer: -3988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -148. Let j = p - 54. Suppose j*h + 272 = 4*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 26. Let i be (6\/(-15)*2)\/(2\/s). What is the highest common divisor of i and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -6*s**4 + 668*s**3 + 2032*s**2 - 975*s + 2*s**4 + 2335*s = 0.\nAnswer: -2, -1, 0, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9675957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 + 8*k**2 + 9*k**2 to the form m + l*k**2 + d*k and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6036 divide 90677052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*u + u. Let o(y) = y**u + 3*y + y - 4*y. Let i(w) = -2*w - w - 224 + 224. Give i(o(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 2*l - 8. Let p(w) = 3*w**3 + 5*w**2 - 2. Let c = 8 - 10. Let r be p(c). What is the remainder when 59 is divided by z(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -26, -5\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*s + 245 - 259 = 412 + 750 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 967*s - 240170. Calculate y(205).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 6*o - 24. Let j be t(-10). Is (82 - 2) + (-8)\/(j\/4) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from tmauakt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 34*g**3 + 7*g**2 - 420*g - 261. Let y(x) = -37*x**3 - 6*x**2 + 419*x + 264. Let z(j) = 4*m(j) + 3*y(j). Suppose z(d) = 0. Calculate d.\nAnswer: -4, -3\/5, 21\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*g - 120*g**3 - 40*g**4 - 36*g - 6*g**5 + g**5 - 160*g**2 - 58*g.\nAnswer: -5*g*(g + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -67, -106, -153, -208?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4330, -4341, -4378, -4453, -4578, -4765, -5026, -5373?\n\"Answer: -2*d**3 - d**2 + 6*d - 4333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 - 67.994\nAnswer: -68.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6. Suppose -4*m = -g*m - 264. Suppose -4 = 2*d - m. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176168.\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 223 + 4?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + 1 - 1 - 4 + f. Let q be r(2). What is the derivative of 0*w**4 - 10 - 5*w**4 - 5*w**q + 27 wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -17*i - 6. Let j(p) = -2*p - 1. Let u(l) = -6*j(l) + z(l). Let n be (-1)\/(2*(-2)\/8). Let m(f) = -2*f - n*f + f. Give u(m(w)).\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.2. Let r = 6.32 - -1.78. Let o = 8 - r. What is the nearest to 2\/5 in 1, o, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -11*w + w**2 - 11 + 40 - 17*w. Let p be t(27). Solve -2*z + p*m = -11 + 3, -m - 5 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {z: 4, g: 3, x: 1, q: 2, a: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 2, a: 1, e: 3, o: 1, s: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 558 - 554. Let d be (-9)\/(-15)*(-10)\/15. Put d, -5, 0.5, b in ascending order.\nAnswer: -5, d, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -76 (b) -0.01 (c) 1 (d) 3\/13 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8805764 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 w be 287\/123 - (0 - (-7026)\/(-9)). What is the greatest common factor of 493 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 235 + 252 - 6*q + (2 + 1 - 4)*(-1 + 1 - q) + (0*q + 2*q - q)*(-1 + 5 - 2).\nAnswer: -q + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 5. Let c(a) = 3*a + 18. Let o(t) = -5*c(t) + 18*i(t). Let b be o(2). Suppose 0 = b*f - 2*f - 88. Solve 5*q - 22 = 3*m - 0*q, 5*m + f = q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 divided by 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -5 - (5 + 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 2*o**4 - 3 + 0*o**4 + 2*o - 7*o**4 to n*o**2 + z*o**3 + q*o + y*o**4 + p and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 496 - 88. Suppose 0 = 18*j - 22*j + s. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -41 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 114. Let g be y(27). Suppose -687000 = -82*a + g*a. What is a rounded to the nearest one thousand?\nAnswer: -137000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71866.688 rounded to the nearest one hundred?\nAnswer: -71900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15297 is divided by 77.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45356 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004455175 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199272 and 7926306?\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*w**2 + 290*w + 16635?\nAnswer: -10*w + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1 (b) 3\/4 (c) 1\/3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7719 + -572. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108766475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 103649?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -741564, -2 in descending order.\nAnswer: -0.1, -2, -741564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/6 + 4)*6. Let c(a) = -a - 6. Let h(m) = 2*m + 11. Let u(w) = -10*c(w) - 6*h(w). Calculate u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 1 + 91*o + 1 + o**2.\nAnswer: -o**2 + 91*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**5\/120 + 19*t**4\/12 - 37*t**3\/3 + 3277*t**2. Determine j, given that q(j) = 0.\nAnswer: 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 r when three letters picked without replacement from {p: 7, r: 2, u: 3}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4908, -4908, -4916, -4938, -4980, -5048, -5148, -5286?\n\"Answer: -z**3 + 2*z**2 + z - 4910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (256\/48)\/(4\/(-18))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -3*w**2\/2 - 23. Determine g(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480 (base 15) to base 5\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 8. Let q = 20 + m. Solve -3*r = -5 - q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 38*j**2 + 12*j - 3. Let t(q) = -28 + 32*q**2 + 15*q + 30*q**2 - 25*q**2 - 5*q + 26. Let p(x) = 6*d(x) - 7*t(x). Differentiate p(u) with respect to u.\nAnswer: -62*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*v - 4*r, 5*v - 3*r - 76 - 4 = 0. Calculate the remainder when 62 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*z**3 - 232*z**3 + 62*z - 107*z**2 - 62*z - 215*z**2 wrt z?\nAnswer: -1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1435511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/6*8\/10. Let k be (-3)\/(-5)*a\/3. Let l = 3.308 + -3.808. Put 2, k, l in descending order.\nAnswer: 2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-90)*3*-6. Let v be q\/(-2) + 11\/2. Suppose 5*f - 3*s - s = 8345, 8355 = v*f - 2*s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 2. Let w be k(0). Let c(m) = -5*m**w + 15*m**2 - m**2. Let v(u) = -u**2. Determine v(c(h)).\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**3 + 151*m**2 + 3044*m + 6377. What is the derivative of k(n) wrt n?\nAnswer: -6*n + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.4? (a) 1 (b) 4 (c) -1\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(104))\/sqrt(8) - (-2 + 0 + sqrt(13)))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*k + 7*k + 24*k to s*k + h and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -263 - -8a?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 6)\/((-6)\/15). Suppose -5*o + 3*c + c + 92 = 0, -f*o + c = -98. Suppose 5*h + 5*s = -o, -3*h + s - 6 = -14. Which is smaller: h or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 127370.37 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00168 minus 1?\nAnswer: -0.99832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25983692, 25983698, 25983704?\nAnswer: 25983710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 703 - 728. What is the third derivative of 7*d**2 + 16*d**2 - 7*d**2 + 2*d**6 - f*d + 3 + 5*d - 16*d**5 wrt d?\nAnswer: 240*d**3 - 960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 16, 41, 86, 157, 260, 401, 586?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -294.7021191 rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -15*c**2. Let p be 4*(9 - 8) - 7. Let o(f) = 14*f**2. Calculate p*z(v) - 2*o(v).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 18 = 2*f, -f + 0*f = u + 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -407*a - 26 + 26 - 387*a + 799*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5981, -5978, -5977, -5978, -5981, -5986, -5993?\nAnswer: -6002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*f + 20 = 0, -8*f + 5*f = 4*s + 12. Solve -l + 5*d + 7 = s, -15 - 3 = 4*l + 3*d for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 31*z - 1. Let n be r(13). Suppose 3*o + 4*k + k = 202, 2*o - 3*k - n = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v + 3*v)*(2*v**4 - 3*v**4 - v**4) + 2*v**5 + v**5 - v**5 + v**5 + v**5 + 0*v**5.\nAnswer: -2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320280 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 593 + -123a?\nAnswer: -ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**8\/840 + q**6\/40 - 16*q**3\/3 + 22. Let d(m) be the third derivative of r(m). What is the third derivative of d(p) wrt p?\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 + 22*m**2 - 36*m + 18.\nAnswer: -2*(m - 3)*(m - 1)*(2*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30))\/(((-7)\/(-4))\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3640473247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 9*b**2 - 33*b - 741. Give k(-10).\nAnswer: -2311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.76 + 12.35. What is b rounded to zero decimal places?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -24*r**2 + 48*r**2 + 2*r**2. Let y(i) = -2*i**2. What is y(x(l))?\nAnswer: -1352*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1701190.\nAnswer: -3\/1701190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*(-1888)\/(-6). Let l = c - 305. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 105?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 707 and 395011.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2523 + 1448 = t - 3284, 0 = p. What are the prime factors of t?\nAnswer: 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -16 + 5 + (4 - 4) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/176 and (-3)\/((-18)\/5) + 11538\/(-9504)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(250)*3)*-6)\/(-6*(sqrt(80)\/sqrt(8) + sqrt(10)) + sqrt(10) + 5*sqrt(50)\/sqrt(5))*4.\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 78?\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -13, -2.7, 0.1, 17 in decreasing order.\nAnswer: 17, 0.1, -0.4, -2.7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 432087077 times 0.4\nAnswer: 172834830.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 - -248. Suppose v*p = 58*p + 110. Solve p = 5*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-2 + (-25)\/(-20)). Let z(y) = -3 - 5*y + 15 - 4*y - 5*y. Let r(t) = -t + 1. Let c(f) = s*r(f) - z(f). Let k(d) = 2*d**2. What is c(k(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35840*s - 143784*s + 35892*s + 35476*s + 35675*s - 1.\nAnswer: -901*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2. Let h(m) = -114433838*m. What is h(s(c))?\nAnswer: -457735352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 + 80. What is the greatest common divisor of 189 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-50))\/(39\/(-60))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-170) - 12360\/136. Suppose -5*g + 3*g = -624. Calculate the common denominator of ((-85)\/7)\/(g\/s) and 25\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 123 = z. Suppose 5*p + 21 = z. Solve -q - 3*f = -5*f + 3, -p*q = 5*f - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 2)*(-4*d + 0*d + 2*d)*(1 + 1 + 0 + (-2 - 5 + 4)*(2 + 0 - 4)).\nAnswer: -48*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i + 5*i - 18 - 3*i**4 + 11*i**3 - 23 + 2*i**2 + 135*i**3 + 40 to j*i**4 + c*i**3 + p*i + u + g*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 9*q + 6. Let p be 31\/2 + 1\/(-2). Suppose -2*c + p = q*c. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6953768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 9:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hynnw. What is prob of sequence nw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2, 5\/6, -292\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 578*o**2. Let n(z) = 3*z**2 + 71*z + 2. Determine n(l(g)).\nAnswer: 1002252*g**4 + 41038*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*n - 50 = 0, -12*k + 2*k - 4*n = -0*k - 5*k - 39 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/2)\/(2\/(-2)). Let d(o) = -o + 3. Let i be d(z). Solve -3*y + 5*r - 31 = 0, -r + 3 = 5*y + i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 3*k + 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 36 = s. Let j = s + -10. Solve 3*m + j*m = -20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947, -968, -1001, -1046, -1103, -1172, -1253?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 - l**4\/3 - l**3\/2 + l. Let a be n(-2). Suppose -8*g = 1 + 7. Sort a, g, 5.\nAnswer: a, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -122*c - 6535. Determine d(-55).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(7))*1.\nAnswer: -1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*k + 22, 0*h - 5*h = 4*k + 26. What are the prime factors of h + 16 - 3\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 4*u**2 - 7*u - 7. Calculate s(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (5 + -3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m - 18. Let p(a) = 7*a - 13. Let r be p(m). Suppose -n - 4*n + r = 0. Calculate the highest common divisor of 40 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2004775531 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**2 - 1962*i + 5884. What is n(3)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -541038 * -2\nAnswer: 1082076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/((3*sqrt(77))\/sqrt(11)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/4, 0.5, -18\/5, 4, 0.3, 13?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5. Suppose 0*u - 5*u + 25 = m. Suppose -u*x = 2*c - 885, -4*x - 4*c = -0*x - 708. 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 20*i + 11*i - 3*i - 38*i + 12*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3\/2 - 75*q**2\/2 + 69*q = 0.\nAnswer: 0, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(12 + -15 + 10\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2252 - -2246. Put -3, 1, -4, l, 5 in decreasing order.\nAnswer: 5, 1, -3, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**2 - 160*c - 1888?\nAnswer: 8*c - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 36 times -0.5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111001 - 1110111010?\nAnswer: -10100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -66373736 and 118?\nAnswer: 66373854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25.5 - -0.5. Let w = -12.4 - 8. Let v = x + w. Round v to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101200001102 (base 3) to base 16.\nAnswer: 33446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -2*h - 6, -3*h + 12 = 3*g. Let c be ((-9)\/(-2))\/((-57)\/(-4)). Let s = 35\/171 - c. Put 0.2, s, h in decreasing order.\nAnswer: 0.2, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/25 (b) 1\/3 (c) -70 (d) 1\/7 (e) 1\/117\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/17 + 24*w**2\/17 + 58*w\/17 + 36\/17.\nAnswer: 2*(w + 1)*(w + 2)*(w + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.490255 rounded to 2 decimal places?\nAnswer: -2.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18106732 (base 9) to base 16.\nAnswer: -8ad514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 3. Let a be (-2)\/(-6) + 475\/j. Round a to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*j + 4129 = 4639 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.225465 and 28.\nAnswer: 6.31302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*w - 18 = 32, -4*r - 2*w = -66. Suppose -r = -5*n + 3*z + 20, -z - 8 = -n. Suppose 3*c = n*c - 9. Solve -2*a = -a + g + c, -a - 5 = 2*g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 10. Let k = -8 + 7.8. What is the second biggest value in s, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29963229.\nAnswer: 3, 37, 269939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c**3 - 2*c**2 + 4*c - 3. Let a(s) = 36*s**3 - 9*s**2 + 17*s - 13. Determine -2*a(m) + 9*l(m).\nAnswer: 9*m**3 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -703*y**3 - 6*y**2 + 4 - 2*y + 1412*y**3 - 702*y**3 to the form r*y + u*y**3 + v + t*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 902*c - 895*c - 14 = 0. Solve d + i - 27 = -32, 0 = d + c*i + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*c = 13, c - 1 = -m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 48. Let l be (-2)\/(5\/(-115) + g). What is the highest common factor of 115 and l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -11 + 2. Let i = 1798 + -1681. Find the second derivative of -3 - 21*h**4 + 124*h - i*h + n wrt h.\nAnswer: -252*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i + 7*i = 12*i + 765 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2609471950 - -6.\nAnswer: 2609471956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {n: 10, t: 2, e: 3, i: 1, w: 3}.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10608 divided by -663\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261877 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*o - o + 11, -3*o + 3*r - 21 = 0. Let b = o + 121. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w + 0*w**2 + 1\/2*w**3 + 0. Let y(f) = f. Give y(g(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2647*o - 6096*o + 1027*o - 11669*o to the form a*o + p and give a.\nAnswer: -14091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8095 (base 10) in base 14?\nAnswer: 2d43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*m**2 - 11*m**2 - 4*m**2)*(-2*m**2 + 3*m**2 - 4*m**2) as s*m**2 + a*m**4 + w*m + x + j*m**3 and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4307*y + 47065 + 24 = -1287 - 154053 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3310192*w**3 + 2*w**2 + 1150*w + 818 wrt w?\nAnswer: 19861152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37\/5*r**3 + 132\/5*r + 0 - 136\/5*r**2 - 1\/5*r**4 = 0.\nAnswer: 0, 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 22513 (b) -1\/5 (c) 0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8622?\nAnswer: 2, 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*t + 25 = 28, -l = -6*t + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 10. Suppose 3*c = 19 - 7. Suppose -2*s + 140 = 3*s + 2*i, 0 = c*i. What is the remainder when s is divided by g(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (148\/(-10))\/(18\/(-45)) is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926138971 to the power of 1\/4, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 393*l**2 - 2*l + 205 - 392*l**2 + 2*l to the form s*l**2 + m*l + q and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Let d(k) be the first derivative of -k**2\/2 - 1. Let i(z) = -6*z + 2. Suppose 4*h + 29 = -5*x, 0*x - x = -3*h + 2. Calculate h*i(b) + y*d(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452509 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22315.27 or -70?\nAnswer: 22315.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5+-0.1693085267798\nAnswer: 4.8306914732202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 3:56 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyynnnnn. What is prob of sequence nnyn?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -7*l. Let v(m) = 2*m**2 + 12*m**2 - 18*m**2. Give t(v(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*d**3 + 704*d**3 - 347*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 19*c + 21085. What is j(136)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 28 = -2*r, -2*r - 15 = -3*o - 35. Solve r*k - 12 = -7*a + 2*a, -a - 15 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*g = 31, 33 = 2*a - 4*g + 5. Suppose 0 = -5*l - s + 4*s + 22, 0 = -2*l + 2*s + a. Put 3, 5, l in decreasing order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -172.6 - -173. What is the nearest to -4\/315 in -4, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -122, -195, -278, -371, -474, -587?\n\"Answer: -5*a**2 - 48*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3003 is divided by 123?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 6*g + 2*f + 2, 0 = 2*g + 4*f + 4. Is g at least as big as -2\/383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9130114967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(i**(-1\/5)\/i)\/i))**(-1\/64))**(4\/3))**(-1\/39) assuming i is positive.\nAnswer: i**(11\/9360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-340))\/(5\/((-180)\/3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 732.9 + -733. Let t(o) = 2*o - 1. Let i be t(2). Suppose -i*g + 12 = -7*g. Which is the smallest value? (a) g (b) x (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**7\/504 + n**6\/144 - 5*n**4\/4 - 25*n**2. Let q(w) be the second derivative of p(w). Factor q(d).\nAnswer: -5*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -674.4774 - -0.7774. Let b = m + 674. What is the closest to 0.1 in b, -20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + 9*i - 27. Let f be t(-5). Suppose 3*v + 4*j = -45 + 637, 2*v - 4*j = 388. Suppose -f*g = -v - 62. List the prime factors of g.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163.89 - -166. Let i = a - -21.89. Is 0.1 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - b, -155*b + 160*b = c + 24. Sort 14, 0, c, 2 in descending order.\nAnswer: 14, 2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134042171?\nAnswer: 3, 17, 503, 44207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 344\/223 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4038588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1425*y + 2652*y + 1604*y)*(-5*y**4 + 0*y**4 + 2*y**4).\nAnswer: -8493*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/x**1)\/x*x)\/x)**37*(x**(2\/5)*x)**(-15))**7)**(2\/13) assuming x is positive.\nAnswer: x**(-812\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i. Let n(a) = 3*a**2 - 6*a. Let b(u) = 6*l(u) - n(u). Let m(z) = 10*z**2. Give b(m(x)).\nAnswer: -300*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4586930457 + -4586930843.9999311. Let x = p + 387. Round x to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let s(f) = 18805*f + 4. Calculate s(n(v)).\nAnswer: -18805*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let h(y) = 4*y + 2 - y**3 - 2*y + 2*y**f - 4. Does 9 divide h(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:06 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1980721 divided by -4\nAnswer: 1980721\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 0*z**2 - 1\/7*z**3 + 2\/21*z**4 + 29*z - 1\/70*z**5 - 6. Let c(g) be the first derivative of h(g). Factor c(r).\nAnswer: -2*r*(r - 3)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34a1 + -10?\nAnswer: 3491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 2\/7 (c) 60 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038535021.\nAnswer: 2038535021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1216364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3922904.5899919 - -3922903. Let w = -323.41 - -325. Let y = h + w. What is y rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2 + -0.2. Let v = 3.36 - t. Let d = 0.56 - v. Which is the nearest to 0.1? (a) -0.4 (b) 1\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*w + 11 = c, 4 = 2*c + 4*w. Let p(a) = -a**3 - 6*a**2 - 3*a. Let n be p(-2). Put n, 2, c in ascending order.\nAnswer: n, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1791\/(-2388) + (0 - 1067\/(-4)). What is the greatest common factor of t and 665?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 13*k + 88. Let z be v(-7). Which is the third biggest value? (a) -5\/2 (b) 1\/3 (c) z (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnl when four letters picked without replacement from {n: 9, l: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 5*y**2 - 2*y + 4. Determine k(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**8\/13440 + a**6\/480 - a**5\/120 + a**4\/24 + 3*a**2. Let f(k) be the second derivative of z(k). What is b in f(b) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.2 + 5?\nAnswer: 40.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(((sqrt(1500)*2)\/sqrt(12) - ((sqrt(5) + sqrt(360)\/sqrt(8) - sqrt(5)) + -4 + sqrt(10)\/sqrt(2) + sqrt(5)))**2 + -5).\nAnswer: -3400 - 1000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 344\/40 + (-5)\/(25\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.029? (a) 5 (b) -10\/17 (c) -30 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 7. Let f be s(-4). Find the first derivative of -3*g**3 + 0*g**f + 0*g**3 + 5*g**3 + 2 wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 - 0.18. Let x = -4 + 3.7. Which is the third smallest value? (a) 0.5 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/3 - 5867*m**4 - 46920*m**3 - 281488*m**2\/3 = 0. What is m?\nAnswer: -17593, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*f = 2000 - 22592 for f.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*r = 98*r - 8. Suppose -2*o - 2 = -r*c + 2, 5*o = 0. Which is smaller: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68.5 + 68.079. Let a = r - 0.082. What is a rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415423 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*o + 8. Suppose -4*g - 3*b = -0*b - 110, 3*g - 2*b = 108. Calculate the highest common divisor of g and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 151732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -701\/272 - -45\/16. What is the closest to g in 0.4, 2\/3, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1200 - 89. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(3\/2 + 0). Let d = 4 + y. Suppose -h + 4*m = 7, -4*m + 5*m = 2. What is the remainder when d is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 = 7. Let k be 3 + 0\/2 - q. Let z(w) = -w**2 - w. Let f(n) = 6*n**2 + 10*n. Let i(p) = 2*f(p) + 14*z(p). Determine i(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015956 rounded to 4 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 6*i + 3. Let c(p) = -2*p**2 - 13*p + 7. Let s(g) = -7*g**2 + 400*g + 5234. Let x be s(-11). Let k = -6 + 12. Calculate k*c(m) + x*l(m).\nAnswer: m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-99)*(-684)\/(-608).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26683 - -50362. Suppose 38*h - m = 11*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -19*n**3 - 12*n**2 - 23*n + 27. Calculate the remainder when z(-3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k - 12*k + 4*k + 3*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*d = 5*s - 2666, 0 = s - 2*d - 526. Suppose 2*n + 5*n - s = 0. Let f = n + -46. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 66*o - 508 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/3 - 5*r**3\/6 - 5*r**2\/2 - r. Let m(j) = -482239 + 482237 + 2*j - 2*j**2 - 4*j. Let p = -5 + 3. Give p*x(v) + 5*m(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**0)**(1\/46)\/((t*t\/(t*t\/t**(-2\/5)))**(-23\/5)\/((t\/t**(-5))\/(t**7\/t))) assuming t is positive.\nAnswer: t**(-46\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 17}. What is prob of sequence zz?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.011628*0.3\nAnswer: 0.0034884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12.57*-2.5112\nAnswer: -31.565784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 36 - 6 = -2*d, 22*o + 21 = -3*d + 4*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 61893414.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2. Let m(g) = g**3 + g**2 + 1. Let r(t) = -7*t**3 - 9*t**2 - 4. Let q(s) = -6*m(s) - r(s). Let d be 46\/14 + (-2)\/7. What is d*b(f) + q(f)?\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5171 - -0.8519. Which is bigger: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 + 526*o**2 - 523*o + 1319. Give a(-264).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.09587 rounded to 0 decimal places?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k. Let w = -123 + 121. Let a(z) = -21*z + 54*z + z**2 - 30*z. Give w*a(i) - 3*t(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 45909.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -26*j + 1. Let b(h) = -39*h + 1. Let p(n) = 5*b(n) - 8*v(n). Let w be p(1). Is ((-3810)\/25)\/((-4)\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7619 (base 12) to base 11.\nAnswer: 155141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 + (-5)\/(-28). Let k = -7 - -34\/5. Let b = -15.34 - -16.34. Sort k, b, x.\nAnswer: k, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -0.19, -2\/13, 0.4 in ascending order.\nAnswer: -0.19, -2\/13, 0.1, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/8)\/k**(-20))**(1\/25) assuming k is positive.\nAnswer: k**(163\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30333110 (base 4) in base 11?\nAnswer: 36a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*z = z - 843, 0 = -z. Let y = 1078 - t. Suppose -3*a - 4*d + y + 506 = 0, 2*d + 2189 = 5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 5*c - 1\/7*c**8 + 0 + 0*c**6 + 0*c**2 + 0*c**7 + 5\/12*c**4 + 0*c**5 + 0*c**3. What is the third derivative of p(i) wrt i?\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 424 - 362. Calculate the remainder when 181 is divided by q.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 3*q + 49*q**3 - 54*q**3 - 9*q**2 in the form r + j*q**2 + p*q**3 + h*q and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 325*u**3 - 2510*u**2 + 5725*u - 3540 = 0. What is u?\nAnswer: 1, 177\/65, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 572107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 4*r**2 - 1\/105*r**7 + 0*r**4 + 0*r**6 + 1\/15*r**5 + 0*r + 0 - 1\/3*r**3. Factor a(q).\nAnswer: -2*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.77? (a) 1 (b) -1 (c) -0.01 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7159623 and 94020.\nAnswer: 4701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142655 is divided by 662.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 10, -10*o = -2*s - 9*o - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1215019093*q**2 - 1424904070*q wrt q.\nAnswer: -2430038186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -15*x - 46. Let g(p) = 5*p + 16. Calculate -7*g(j) - 2*y(j).\nAnswer: -5*j - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((2 - 1)*2). Suppose -5*q + 90 + 20 = n. What is the remainder when q is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2257 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -476168 - -476168.3. Suppose -b - 2 = -7. Put -1, z, -2, b in descending order.\nAnswer: b, z, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*r - 11, d + 0*d + 2*r = 6. Suppose b - 2*b - 2*s + d = 0, 2*b - 18 = -5*s. What is the second derivative of 12*h - b*h**2 - 11*h + 3*h**2 wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**5\/180 + 119*n**4\/3 + 113288*n**3 - 119*n**2 + 2*n + 1. Find u such that o(u) = 0.\nAnswer: -1428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 - 0.7. Let q = -2.34 + 0.44. Let y = v + q. Which is the third biggest value? (a) -2\/11 (b) 6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5026421?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 5999 and 5976 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16039 (base 12) to base 6\nAnswer: 400113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 1088214.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18066.\nAnswer: 2, 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*s - 2 = -0, 8 = -4*s. Suppose l*y = 5*o + 2946, 2926 = 3*y + y + 5*o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by -2?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17689169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9025735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/420 and 151\/194940?\nAnswer: 1364580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 34085. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 4, j: 3, y: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:40 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26764552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*8\/(-24)*0. Solve l = h + 3*z - 8, 12 = 3*z - 0*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (236\/(-6))\/(9\/(-162)) + 1. What is a rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/1781 and -103\/7837700.\nAnswer: 1073764900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*-2 + sqrt(152) + -5*sqrt(152)*-2 + sqrt(152))\/(-2*5*sqrt(968)*1).\nAnswer: -7*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/(b*(b*b**(5\/4))\/b*b)*(b\/b**5*b)\/b*b**0*b assuming b is positive.\nAnswer: b**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1520)\/4940)\/(12\/(-25))*(-3 - 72\/(-15)).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4831 is divided by 373?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 111 - 0 - 9\/(-3). Suppose 10*b + u = 13*b. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8490 - 8486. Solve 3*h - 1 = -a, -k + 8 = -5*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*i - 733, 182 = l + i - 0*i. Let x = -213 - l. Let a be x*3\/((-6)\/65000). What is a rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02989 rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6369*s - 10444*s - 6322*s + 7634*s to z*s + a and give z.\nAnswer: -15501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1435094, -2 in increasing order.\nAnswer: -1435094, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 323\/228*-2909*-12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -119, 2, 1, 47, 3 in descending order.\nAnswer: 47, 3, 2, 1, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Suppose 2*w = -m*w. Solve -4*u = -w*u + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8056 = -419*t + 427*t. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142638, -285186, -427662, -570066, -712398, -854658?\nAnswer: -996846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 558*t - 3833. Calculate i(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + 0) - (sqrt(88) + sqrt(88) + sqrt(88) + (sqrt(88) - 1*sqrt(88)))\/sqrt(8)) + -3.\nAnswer: -3*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*o - 22. Suppose 0 = i - f - o, -3*i - 2*i + 4*f + 59 = 0. Suppose i + 35 = 5*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g + 2. Let u be c(6). Let x(w) = 3*w**2 + 9*w - 25. Does 32 divide x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 5.7. Let p be (-6)\/(-33) - (-145)\/(-11). Let i = p - -9. What is the third biggest value in 5\/4, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.91*0.0062.\nAnswer: -0.018042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 3\/2*b**2 + 11*b - b**3 - 5\/12*b**4 + 1\/20*b**5 + 0. What is l(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 7:45 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13150.29 micrograms to tonnes.\nAnswer: 0.00000001315029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1188 - 46594*c - 1188.\nAnswer: -46594*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*g + 43*g - 45*g in the form u*g + y and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:07 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -595 - -384. Let z be (-7)\/(-14) + (p\/2 - 0). Is (-4)\/30 + (-5054)\/z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0 - 1\/3*b**5 + 0*b - 1\/120*b**6 - 9\/8*b**4 - 20*b**2 + 9\/2*b**3. List the prime factors of f(-19).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-690)\/(-8) - (-12)\/(-20)*1\/(-300)*-125\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 40*r + 13*r - r**2 - 2 - 88*r**3 + 131*r**3 + 9*r to w + l*r**3 + x*r**2 + b*r and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*x + 37*x - 55*x to the form f + q*x and give q.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(q**2 - 1 + 1) + 4*q**2 - 2*q**2 - q**2 - 2*q**2 + q + 2*q - 5*q.\nAnswer: -3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 54 + 9 + -19\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 68*t + 487. Determine a(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/14 and -119\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - r**2 - 4*r - 1. Let z be 38\/5 + (-10)\/(-25). Suppose 0 = 3*y - 2*y - z. Let s = -5 + y. Calculate f(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62708936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 909622678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*t - 4*f, -7 = t - 2*t + 2*f. Suppose 13 + t = 3*o. What is the remainder when 23 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 127013*c**2 - 144372 wrt c?\nAnswer: 254026*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 17 - k)*(0*k + 3*k - k)*(2 + 3 - 6).\nAnswer: 2*k**2 - 20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 248726064 and 15?\nAnswer: 1243630320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5928567 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: Is 9722953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Let k = 11 + -7. Solve x*p = k*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 457, -158, -31, -2 in decreasing order.\nAnswer: 457, -2, -31, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*(4 - (-235)\/(-60))*3. What is the greatest common divisor of c and 346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 81495\nAnswer: -1\/27165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 311315 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -66\/13, -4\/3, 41455\/7?\nAnswer: -66\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 2 d when four letters picked without replacement from ovvddupmddodv?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-24) - 1\/4. Let q = 1474.9 - 1475. Which is the nearest to q? (a) 0 (b) -2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*x + 135*x - 5576 - 4176 = 0 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**4\/24 + 6*b**2. Let v(l) = -3 + 5*l**2 - 2*l**2 + 4 + 9. Determine a(v(g)).\nAnswer: -3*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(1\/23)*x*x**40*(x*x*x\/x**(-1\/2))**(2\/9) assuming x is positive.\nAnswer: x**(9071\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a millisecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*s - 5*s. Let l = -14 - -24. Solve s*b - 12 = 3*g + l, -g - 2 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-162)\/(-30) + (-5 + 2)*2. Let w be ((-2)\/(-4))\/((-1)\/6). Which is the nearest to 0.1? (a) -1.2 (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - 0.15. Suppose 11*p + 42 = -2. Which is the closest to 0? (a) p (b) -2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1009739, 3\/4, -5?\nAnswer: 1009739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 50. Let l be (2\/5)\/((u\/10)\/(-1)). Let j be 0\/(l\/(-6 + 2)). Solve -1 = 3*s + 5*v + 12, 4*v + 8 = j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 745, 830, 1045, 1456, 2129, 3130, 4525, 6380?\nAnswer: 8761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, -181, -495, -935, -1501, -2193?\n\"Answer: -63*y**2 + y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -41, -84, -127, -170, -213?\n\"Answer: -43*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, w: 4}. What is prob of picking 1 z and 2 w?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + -2 - 130\/30. Which is the smallest value? (a) 0.2 (b) l (c) -2 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5*y**2 - 4*d**2*t**2*y**2 - 2*d*t**2*y + 3*t**2*y**2 + 12*t**2 - 2*y**2 wrt d?\nAnswer: 20*d**3*y**2 - 8*t**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 14*f - 23. Let k be z(16). Let w(m) = -7 - 2 + 6*m + k. Let b(v) = -4668 + v + 4668. Calculate w(b(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 5 = -5*m, -4*o - 5*m = 8 - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywezzuzuyowuze. What is prob of picking 1 y and 2 w?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45084 divided by -39.\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -18*j - 253. Let m(r) = -10*r - 128. Let z(c) = 6*h(c) - 13*m(c). Give z(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3789109 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -15\/169 (b) -0.4 (c) -173 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -12 + 10 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 0, -4.7, 5, -798\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16285805.\nAnswer: 5, 3257161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1131925*v**2 + 3*v - 197438?\nAnswer: 2263850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + -3.3. Let o = 0 + x. Let q = 283\/2 - 1403\/10. What is the nearest to 1\/2 in o, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4 + 3930*r**3 + 429843*r**2 - 9641490*r - 10067400 = 0.\nAnswer: -119, -1, 20, 1410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p. Suppose -3*k + 6 = -0*k. Suppose k*g + 3*q - q = 546, -q + 2 = 0. Let n(r) = -3*r**2 + 271 - g. What is n(h(t))?\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1289400 = 64*t - 169*t. Does 20 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-18)\/8 - (-2076255)\/172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*(-3 + 2*sqrt(320) + 1 + (sqrt(320)*2 + 2 - sqrt(320))))**2 + -1.\nAnswer: 144*sqrt(5) + 25920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2, -2\/51, -0.4?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 8. Let s be b(9). Suppose 5*w = 3*t + s, -w - 2*t + 2 + 4 = 0. Let a = w - -96. What is a rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 12 = o. Solve 3*h + 3*j = -j - o, 2*h + 2*j = -4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 a when three letters picked without replacement from {d: 14, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 38*s**2 - 118*s - 39. Calculate q(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904 a factor of 21228952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t - 1. Let o be (-7)\/(-28) + (-10)\/8. Let w(i) = -4*i**3 - i**2 + 1. Let j be w(o). Suppose -4 = -4*y + j. Determine a(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 39*n + 0 - 28*n in the form i*n + x and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84773 is divided by 4357?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427917 - 15882441\/37. Let c = o - -1338. What is the second smallest value in -0.3, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12\/7, -1, -3, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36557909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 - 35 = 0. Let t = v + -26. Let x = 9 + -1. Solve t*l + x = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x + 69 = 24 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7.32? (a) 0.38 (b) 0.34 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 41 = -4*m, 16*m - 21*m - 2*u - 30 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/86929461 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.6 - 4. Let q = o + 0.3. Which is the nearest to q? (a) -2 (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 13. Let q be (-5)\/j*4\/(-120). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210000323 - -30322?\nAnswer: 210031311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 41 = -8*p. Let x = p + 56. Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-2\/11)*r**(3\/4)\/r assuming r is positive.\nAnswer: r**(41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 194666531 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 240130 (base 5) in base 7?\nAnswer: 34425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.31.\nAnswer: 0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3300021 (base 6) to base 3.\nAnswer: 22022000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**3 + 13*b + 28. Let v(i) = i**3 + 3*i + 7. Let c(m) = 2*q(m) - 9*v(m). Determine c(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193114 is divided by 144.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 285035599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 + 25664*a - 41165056 = 0.\nAnswer: 3208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, x: 2, n: 4}. What is prob of sequence xln?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 870733695?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/26 and -19\/30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355729, 355973, 356217?\nAnswer: 356461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5895 - 3459. Let s(c) = 8*c**2 - 7*c + q - 7*c**2 - 2444. Give s(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 3376 + 4311 = 47*j - 25*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/10115 and 51\/4.\nAnswer: 40460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*h - 2*f - 7, -2*f = -2*h + 10. Let t(a) = h*a**2 + 3*a**2 - 5*a**2 + 0*a**2. Let v(g) = -2*g**2 - 6*g**2 + 6*g**2. Determine t(v(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*z = 31*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 12*s**3 - 3*s**2 - 2*s + 2. Let a(d) = 12*d**3 - 4*d**2 - 3*d + 3. Let f(v) = 2*a(v) - 3*b(v). What is the tens digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 4*s**4 - s - 15*s**3 + 28*s**3 - 12*s**3 as o + i*s + c*s**2 + l*s**4 + h*s**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -666, 196.\nAnswer: -666, 3, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(4\/6) - -35?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o - 144 = 67*o. Let b(u) = 8*u. Let x be b(-3). Let h = x - o. Solve h = -2*s + 5*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.29488 years to millennia.\nAnswer: 0.07829488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.37 - -0.37024. Round v to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (261 - 261 - 801*p**2)*(-p - 1 + 1 + 3*p - 2*p - 3*p + 0 + p + 0 + (0 + 0 - 2)*(-4*p + 3*p + 3*p) - p - p + p).\nAnswer: 5607*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -848*b**3 - 5*b + 3*b**2 + 851*b**3 - 2*b**2 in the form n*b**2 + r*b**3 + d + g*b and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29140?\nAnswer: 2, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7362\/(-10634) - (8\/(-13) + 0)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 11*w = 93. Let b = 59 - w. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = j + 3*o - 191, -3*j - 2*o + 539 = 0. Let l = 185 - j. Determine s so that -3\/4*s**3 + 9\/4*s**2 - 3\/4*s**l + 3\/2 + 15\/4*s = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 13) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*c - 1339 = 0, 5*b + 0*c = c - 6750. Let d = 1998 + b. Suppose 3*a = -5*w + 1103, -3*w = 5*a - 0*a - d. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 5. Let r(a) = -9*a + 8. Let c(b) = -b + 1. Suppose 0 = 3*i + k - 119, -4*i + 16*k - 23*k + 153 = 0. Give i*c(l) + p*r(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.394 + 0.606. Which is the closest to 0.5? (a) 0 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1\/4 (b) -2\/9 (c) 0.04 (d) 0.0917 (e) -27.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628166330 to the power of 1\/3, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 10*p**5\/11 + 1514*p**4\/11 + 75574*p**3\/11 + 1200438*p**2\/11 - 2184840*p\/11 - 1061208\/11 = 0.\nAnswer: -51, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*r**3 - 23*r**2 + 23*r**2 + 0*r**2 + 0*r**2 - r**3 + (4*r**2 + 2*r**2 - 5*r**2)*(4*r - 5*r + 3*r) to h*r + j*r**3 + m*r**2 + g and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6992566879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.3 (b) 5 (c) -2\/5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 142952 = -53508. Suppose 0 = 19*z - 0*z - y. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 0.3, 2, 679\/2 in descending order.\nAnswer: 679\/2, 2, 0.3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*((sqrt(99)\/(sqrt(36)\/sqrt(4)) - (sqrt(704)*1 - sqrt(704))**2) + (-3*(sqrt(1584) + -1))**2).\nAnswer: -430*sqrt(11) + 28530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*y**3 - 1925*y**2 - 65*y + 240 = 0. Calculate y.\nAnswer: -16, -3\/8, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*d = 136*d + 140. Let u = d + -31. Suppose 0 = o - u - 212. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4245 + -46748\/11. Find the common denominator of d and -26\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/13, 1, -171, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**2 - 55*j**2 + 10*j + 17*j**2 - 14*j**2 + 22*j**2 to i*j + h*j**2 + t and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 2. Suppose -2*q - 3*s = -3*q - 2, -4 = 2*q - 4*s. Let c(n) = -4*n**3 + 11. Determine q*c(y) - 11*f(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 25*i**4\/12 - i**3\/6 + 6*i**2 + 9*i. Let p(s) = 3*s. Give p(h(z)).\nAnswer: 150*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 855034671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let h(g) = -4*g + 3. Let v(c) = -2*h(c) + 6*r(c). Let o be v(1). Let m(u) = -u**3 + 2*u**2 + 2. Let y be m(o). Solve y*k = 8 + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1512 - 22682\/15. Which is the nearest to 1\/10? (a) v (b) 0.3 (c) -0.11 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k - 7 + 5 + 2.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2050 and 1517?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2510 and -7\/25.\nAnswer: 12550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (290\/4)\/(-5)*6. Let n = -53 + 23. Find the common denominator of -137\/12 and -1 - (v\/n)\/(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*m - 18 + 8 + 4 + 4.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (18 - 4 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*i - 10, 5*p = 5*i - 7*i + 10. Let y be -2*(2\/1 - 3). Factor p - 4\/19*d + 2\/19*d**y.\nAnswer: 2*d*(d - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from bxnxxxxmxxmbmxnnxx.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 10*g + 2. Let p be i(-8). Let j(x) = -6*x - 8. Let r be j(p). Suppose 4*b - r = 220. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800777753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 5:06 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1016 and 15494.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41658270 to the nearest integer?\nAnswer: 6454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*g - 88*g = 32 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (10 - 8) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 0*x**2 + 27*x**3 - 2*x**2.\nAnswer: 37*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 104 - 0. Let k = s - 23. What is the remainder when k is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c**2 - 26*c**2 + 13*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 smaller than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 - 0.4. Let f = -6 - -7. Which is the nearest to f? (a) 1\/3 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/3 - (-2)\/(-6). Let z = q + -6. Suppose z*a = 52 + 113. Calculate the highest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 12. Let f be b(-7). Find the third derivative of 0*j**2 + 3*j**2 + 0*j**2 + 4*j**f wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/5 - 504\/910. Let m = 2\/13 + c. Let d = -32.3 + 34. What is the biggest value in 0, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1065*v**2 + 1658*v**2 - 594*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 14*d + 1. Let q(u) = -1483*u + 9. Give q(t) - 8*y(t).\nAnswer: -1595*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1069 and -6363.7?\nAnswer: 7432.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 6) to base 9.\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 4*v. Let f be m(3). Let h be -2*(-3 - f\/(-3)). Find the third derivative of -1149*w**3 - 2*w**4 + 1149*w**3 + 8*w**h wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-32258.\nAnswer: 64516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25339.392 hours in days?\nAnswer: 1055.808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99352699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*j**2*z**3 + 32*j*z**3 - 154*z**3 wrt j?\nAnswer: 6*j*z**3 + 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4555.\nAnswer: 5, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 913+-18.7313\nAnswer: 894.2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39870 and 810?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 + 109. Let t = m + 59. Let n be 8\/(-6)*5\/(-4). Which is the closest to t? (a) -5 (b) n (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3576 or 25040\/7?\nAnswer: 3576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 3, -32, 25, -4 in descending order.\nAnswer: 25, 23, 3, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13590 times 1.1\nAnswer: 14949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 3:56 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 828931?\nAnswer: 359, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -17, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 9, 1, -25, -75, -155, -271?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.866 + 0.234. Let q = d + -16. What is the third biggest value in -7, 5, q?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 0.1, -164?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1321*f - 136060. Give i(103).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -5*g, -2*g + 4 + 7 = 3*c. Sort c, -5\/3, -0.18, -0.3.\nAnswer: -5\/3, -0.3, -0.18, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1487*f**2*r**2 + 9*f**2*r + f*r - 17*r wrt r?\nAnswer: -2974*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23228 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l**(-1\/2)\/l*l)**15 assuming l is positive.\nAnswer: l**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4993698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*r**3 + 2 + 24*r**3 + 26)*(0 + 2 - 4 + (4 - 2 - 1)*(1 - 1 + 4) + 1 - 4 + 4) to the form p*r + l + n*r**3 + z*r**2 and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -28\/9 (b) -4 (c) -2 (d) -3\/5 (e) -0.051\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 + 2)*(-2 + 2 + 2*o) + 5*o - 15*o + 32*o)*(4*o - 2 - 3*o - 2*o) in the form p + g*o**2 + b*o and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 163813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.9 + 4.1. Which is the fourth biggest value? (a) 1\/3 (b) -3 (c) n (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/4*76\/95. Suppose -w*u + 36 = 118. Let v = -33 - u. What is the remainder when 12 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 43 (b) -0.2 (c) -2479 (d) 30 (e) -0.1 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6a2608 + -71?\nAnswer: 6a2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 12 = -38*a + 58*a + 3*d - 0*d, 0 = -3*a + 5*d + 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-297)\/(-132) + ((-1)\/4)\/1. Factor 1\/5 - 1\/5*f**3 + 1\/5*f - 1\/5*f**q.\nAnswer: -(f - 1)*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1085481 is divided by 1531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5258*m**2 - 12*m - 3. Let k(c) = -2*c. Determine x(k(r)).\nAnswer: -21032*r**2 + 24*r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576133757?\nAnswer: 3, 11, 71, 224233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 1 + 1. Let d = 6 - k. Solve 0*f = -f + d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1, 14124, 8, -5, -1.\nAnswer: -5, -4, -1, 0, 1, 8, 14124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -15*l - 30 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-309)\/(-9) - (1 + 1). Let l = f + -33. What is the nearest to 1 in l, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23851498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, -6, -71, -196, -399, -698, -1111?\n\"Answer: -3*n**3 - 3*n**2 + 7*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418871 (base 13) in base 15?\nAnswer: 204238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdd when three letters picked without replacement from kddddddddddddddddddd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:28 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2120, 2972, 3824?\n\"Answer: 852*w + 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*(61437\/(-2) + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2 - 4 + 0 - a**2 + 6*a. Let r be k(6). Let g be (-3)\/r*(-2)\/(-7). Sort g, -3\/5, 2 in increasing order.\nAnswer: -3\/5, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 986 = 6*t. Let n(d) = -121 + 63 + t + 2*d**2. Let r(z) = 76*z**2. Give n(r(c)).\nAnswer: 11552*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.35285 rounded to one decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-11 - -3)) + -17 + -20 + 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*o + 957, -2*y + o + 635 = -4*o. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517263197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 9*c + 46. Suppose -12*t + 4165 + 227 = 0. What is the least common multiple of t and m(-12)?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 at most as big as 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(4 + -8))\/((-105)\/(-84)). Which is the nearest to -0.05? (a) -4 (b) k (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/4 - 3*h**3 - 7*h**2\/2 + 17*h. What are the prime factors of b(8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-88)\/(-32))\/((-1)\/(-692)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -108, 0.2, 1\/4, 10\/19?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -499 - -998. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**3 - 5*v - 3*v**4 + 788*v**2 + 0 - 1 - 785*v**2 + 10*v as y*v**4 + k*v + q*v**2 + j + i*v**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 + 2*k - 1 - 28 + (2*k - 5 + 5)*(-6 + 2 + 1) - 4*k + 0 + 0.\nAnswer: -8*k - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4675\/58, 0.1, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, 15, 55, 141, 291, 523?\n\"Answer: 3*w**3 - 4*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 2, f: 1}. Give prob of sequence jjx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 8*b**2 + 15*b - 15. Let o be y(-10). Suppose -36*i + o*i = -12. Solve f - i = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 131 - 98. Solve -7*g = -w - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*d**3*o**2 + 50*d**3 - d**2 - o**2 - 1191*o + 1055 wrt o.\nAnswer: -34*d**3*o - 2*o - 1191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = 11. Suppose -r + y = -9 + 5, 0 = 3*r + y. What is the smallest common multiple of (r + 1)\/(20\/90) and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 180 and 1.47917.\nAnswer: 266.2506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 19 + (96 - 113) + -17 + 0?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1228891 or -2\/87?\nAnswer: -1228891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22431.2572 rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by 12.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27454*s - 7055*s + 35 - 35.\nAnswer: 20399*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155 + 160. Suppose -2*q + 24142 = -d, -5*q = -0*d - u*d - 60355. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280447 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (56\/(-36) + (-50836)\/(-1611)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*l - 1 = l, 2*l = 5*f - 29. Suppose -f*p - 20 = -9*p. Let h(u) = 2*u**3 - 4. Let s(i) = -1. Calculate p*s(d) - h(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 2, x: 1, v: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 48 = -7*n. Let g = 12 + n. Suppose -c - c - 4*k + 26 = g, -k - 25 = -3*c. Calculate the remainder when 53 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 187.73 + -6.73. Which is the third smallest value? (a) m (b) -1 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007151 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 2 + 14 - -13 - 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 11, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + 11505\/(-325) + (-8)\/(-50).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:59 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/((3*8)\/(-4)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18030 - -18034. Put 5, 2, -2, o, -29 in descending order.\nAnswer: 5, o, 2, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/207 or 0?\nAnswer: -1\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + v + 3. Let k be b(0). Let u be k + 0\/(-1) + 2. Suppose 5*a = -u, 4*a = -0*s - 2*s + 2. Solve -j = -2*g - 5, 4*j + 1 = 2*g - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 - l - 7. Let x be v(-8). Suppose 4*p = 4, 0 = q - p - 2*p + x. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 1:32 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.92401 kilometers to nanometers.\nAnswer: 31924010000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3*(-162)\/135\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 26*c**2 - 272*c + 1. Let j be g(-8). Put j, 6, 21, 2 in descending order.\nAnswer: 21, 6, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -54. Let y be 3\/(-6)*(-21 + w). Which is bigger: 15 or y?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 4 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210020200 (base 3) to base 9.\nAnswer: 83220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/12 + 70\/42. Let f(j) = -3*j + 2*j**2 - 2*j - 3 + 3*j + 1. Calculate f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:01 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*x - 347 = -3*h, 4*h + 2*x = 486. Suppose 0*j + 2*j = 6, -b = j - h. Let a = b + -92. Calculate the greatest common divisor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*2*(-1)\/(-2). Let d = 4 + r. What is the highest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 14*a + 16. Let c be q(-6). Let j be 4*1*c\/640. What is the closest to j in 14, -3, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2. Let o(f) = -288*f + 42. Let b(l) = l + 1. Let h(v) = -2*b(v) - o(v). Let d(z) = -32*z + 5. Let x(a) = -44*d(a) - 5*h(a). Determine x(c(t)).\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*m, 4*m - 13 = -5*r + 1. Suppose 0 = -0*c + 2*c - r. Factor 4*w**2 - 4 - 41*w**3 + 5*w + 5*w + 31*w**c.\nAnswer: -2*(w - 1)*(w + 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**3 - 5*w - 5. Let a(v) be the first derivative of v**2\/2 + v + 25. Determine -5*a(s) - u(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let z be (-1)\/6*(-16)\/(-1 + -3). Let j = 0.5 + 0. Which is the biggest value? (a) n (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 3*h - 6*p - 88, 2*p - 4 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4 - 0. Let d = -12 - -20. Solve 0 = -3*q + 4*p - d, p + 3 = i*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from ssssksssk?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.35 + 0.35. Are -0.02 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 13, -4, -39, -98, -187, -312?\n\"Answer: -l**3 + 2*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)\/q*q*q)**(-21\/4)\/(q\/(q*q**(2\/9)))**(-6\/7) assuming q is positive.\nAnswer: q**(-1387\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 23298*f + 1118312. What is l(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4083649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118*c**2*r**3*w - 3*c**2*w**3 - 77*c**2*w - 47*c**2 + 58*c*r*w**3 + 3*c*w**3 - 2256587*r**2*w**3 wrt r.\nAnswer: 708*c**2*r*w - 4513174*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z = -6. Is z*((-400)\/(-15) + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40419, 40668, 41077, 41640, 42351, 43204, 44193, 45312?\nAnswer: 46555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/76*16\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3975, -3970, -3965, -3960, -3955, -3950?\nAnswer: -3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0.9. Let s = r + -0.1. Let h = 2.2 - 2. Sort s, h, 2\/7 in ascending order.\nAnswer: s, h, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 364.3 - -1.\nAnswer: 365.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 5:10 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 0. Let d = 9 + -6. Let v(f) = -f**2 - 7 + 0*f**3 - 1 - 2*f**d + f**3. Determine v(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1248 = 2*d, -8*f + 3*f = -d + 604. Calculate the smallest common multiple of d and 34.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -1\/4*o**4 + 0*o**3 + 35 - 2*o + 43*o**2. Let r(d) = 2*d. Give y(r(t)).\nAnswer: -12*t**2 + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.258 + -0.25800042. What is c rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83092443 + 0.18?\nAnswer: 83092443.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -11?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -9*f**3 + 39*f**2 - 55*f + 25 = 0.\nAnswer: 1, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 6908629.\nAnswer: 17\/6908629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 68*b + 64*b + 89*b - 220*b. Let l(k) = 74*k**2 + 2. Calculate l(w(c)).\nAnswer: 74*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -204 - -817\/4. Factor 0 - f*m - 1\/4*m**2.\nAnswer: -m*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1361, -1359, -1357, -1355, -1353, -1351?\n\"Answer: 2*j - 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*((-4 - 6 + 2)*(4*t - 5*t + 3*t) - 15*t - 3*t - 7*t + (3*t + 2*t - 3*t)*(1 + 3 - 2)).\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let j(p) = p**3 - 6*p + 4. Let g(o) = o**2 + 15*o - 10. Let t be g(-9). Let c = t - -79. Let u be 21\/c + 16\/(-40). Determine u*j(d) - 4*b(d).\nAnswer: d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4590 divided by -5\nAnswer: -918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 57643*j + 12962207. What is p(-224)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 7*b**2 - 4*b - 7. Let s be q(6). Let m = -34 + 36. Solve -s*n = 7 - m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**4\/24 + g**3 - 289*g**2. What is n(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 3547*x**2 + 12 - 2 + 10 - x**2 + x - x + (-2 + 2 + x)*(-3 - 2*x + 3) - 2*x**2 + 4*x**2 - 3*x**2 to f + p*x**2 + g*x and give p.\nAnswer: -3551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3)*-1 + 0)**2*-2 + (-2 + sqrt(1900) + -3)*5.\nAnswer: -63 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2578, -330\/23, -1\/2?\nAnswer: -2578","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2145 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35247, 70670, 106435, 142710, 179663, 217462?\nAnswer: 256275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i - 4. Suppose 16 = -0*n - 4*n, -2*s + 2*n = -4. Let p = 6 + s. Let y be q(p). Solve 3*f + 5 = 7*w - 2*w, y = -2*f - w + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**3*g - 107*c**3 - 35487*c**2*g**2 + c*g**2 + 9*c*g - 13*c - 155*g**2 - 13*g wrt c.\nAnswer: -12*c*g - 642*c - 70974*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/2 (b) -3\/7 (c) -2151129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4165 - -22051?\nAnswer: 14553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75277991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(68)*2)\/(-1*sqrt(4)*2) - ((sqrt(7344) + 1*sqrt(7344) - sqrt(7344)) + sqrt(51))\/(-2*sqrt(12)))**2.\nAnswer: 1377\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 0) + 4 + -2 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnd when three letters picked without replacement from dnnnndnndnnnnddnnn?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*w = 2. Suppose -3*d = -w*d - 5. Does 2 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 - 28392*k**2 + 9855600*k - 850125824.\nAnswer: -(k - 172)**2*(k + 28736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 253007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + 1 + (5 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (2 + -4 - 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(36) + (sqrt(18)\/sqrt(3))\/sqrt(3).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nif when three letters picked without replacement from nfonifibpnbfifiinfn.\nAnswer: 125\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 5*r - 3*r)*(20 - 15 + 46)*(-r - 2*r + 5*r) to the form m*r**2 + q*r + t and give m.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -55523042 (base 7) in base 5?\nAnswer: -2211431411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/((sqrt(6) - (sqrt(6) - (sqrt(6) + (sqrt(60) - sqrt(540))\/sqrt(10)))) + sqrt(6) - sqrt(6) - sqrt(6)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -5407?\nAnswer: 3\/5407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 396 + (-56)\/(-7) + 9. What is the greatest common factor of r and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49\/106 - 2\/53. What is the nearest to v in 5, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/1344 and -97\/2.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2.3, -2\/3, 6\/11, 0.047, -2?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4190773km?\nAnswer: 41907.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1 + 2*y - 17*y**2 - 3*y + 0*y - 14*y**2 + 3*y. What is g(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a = -a + 50 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 168.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 261 + 74*n + 2*n**2 + n**4 + 270 - 533 to the form w*n + m*n**2 + l + j*n**3 + f*n**4 and give w.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - i - 1. Let n be w(-1). Let r(a) be the first derivative of 2\/3*a**3 + n*a**2 + 2*a + 3. Factor r(o).\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -1\/7, -0.15, -4.79, 69?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125513 (base 6) to base 2.\nAnswer: 10110101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -15. Let n be (-111)\/(-3) + (-3)\/p. Suppose -7*b + n = -30. Solve -2*y = -0*y - b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*a - 31*a - 1035. What is the remainder when a is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/5)\/(3\/(-45)*(-114)\/23746846) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -14*b - 20. Let t(v) = -16*v - 21. Let w(h) = -6*t(h) + 7*y(h). Suppose -4 = 2*m + 16. Is w(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -8, 4*g - 35 - 12 = -3*q. Calculate the highest common divisor of q and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 44202*o**2 + 44059*o**2)*(13*o**3 + 11*o**3 - 10*o**3).\nAnswer: -2002*o**5 + 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 45\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*w + 5 - 5)*(-10 - 1 - 15 + (-6 + 2 + 1)*(3 - 2 - 2) + 3 + 3 - 4) to the form k*w + y and give k.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -28. Let g(r) = -r**4 - r**3 + 1. Let m(y) = -3*y**4 + 6*y**3 + 1. Let n(k) = z*g(k) + m(k). What is the derivative of n(d) wrt d?\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, l: 3, k: 1, h: 1}. Give prob of sequence llh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 36. Give b(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 418 and 154.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/450 and 131\/22680?\nAnswer: 113400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:03 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -10*i**3\/3 - 37*i**2\/2 + i - 2260. Calculate t(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 5:17 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - 1.7. Let g(r) = -2*r + 16. Let t be g(8). Let o be t\/7 - (-4 - -2). What is the nearest to 0.2 in o, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**4 - x**3 + x**2 - x + 1. Let g(m) = -10*m**4 - 14*m**3 + 6*m**2 - 6*m + 6. Let i(v) = g(v) - 6*l(v). Factor i(n).\nAnswer: -4*n**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 + g + 1. Let i(d) = -4*d**3 - 5*d**2 - 3*d - 5. Let c(l) = -3*i(l) - 15*x(l). Find the second derivative of c(a) wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/17))\/d**(2\/15))\/(d**(-5\/4)\/(d*d**8)) assuming d is positive.\nAnswer: d**(12239\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*l + 41*l - 3510. Calculate the highest common divisor of l and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13230122 (base 6) to base 13\nAnswer: 124cc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(4*sqrt(1053) + -5 + -4)**2.\nAnswer: -1944*sqrt(13) + 50786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxwxg. Give prob of sequence wg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 46, 10, -3, -1, -4 in decreasing order.\nAnswer: 46, 10, 6, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*t - 126*t - 22053 = -3*b, 0 = -2*t - 6. Suppose -b = -34*q - 586. What is the remainder when q is divided by 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 6) + (-2 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 3 - 3 - 3*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 18. Let y(x) = 2 + x**j + 2 - 4. Let c(v) = -27*v + 65*v - 32*v. Determine c(y(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**2 - 7464379*h + 2488126 = 0.\nAnswer: 1\/3, 2488126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(77\/99) + 2703. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59338, -118613, -177904, -237217, -296558, -355933, -415348?\n\"Answer: -z**3 - 2*z**2 - 59262*z - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.88248 millilitres in litres?\nAnswer: 0.03688248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1373*l*p**3 + 595550144*l*p**2 - 22224*p**3 wrt p?\nAnswer: 8238*l - 133344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-696)\/(-18) + (9\/3 - 1))\/((-302)\/453).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from hngzhjhzjhfnjfj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(1\/3)\/g)\/g)\/g)**(-3\/2))**(-37)\/((g**(2\/7)\/g*g)**(4\/29)*(((g**(-6)\/g)\/g)\/g)\/g*(g\/(g\/(g**(3\/5)\/g*g)))\/g*g) assuming g is positive.\nAnswer: g**(-140719\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 5*s**2 - 4*s - 7. Suppose -4*w = w - 40. Calculate the remainder when u(-5) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 556702313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679110865?\nAnswer: 5, 61, 2226593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 784*v**2 + 8291*v**2 - 781*v**2.\nAnswer: 8294*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 30851*n - 59399*n + 30090*n - 2.\nAnswer: 1542*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 26a91328?\nAnswer: -26a91330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 123619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 - -2807974?\nAnswer: 2807960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, d: 6, q: 4}. What is prob of sequence pdpq?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4276963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2398914139 + 2398912356.003721. Let s = 1783 + g. Round s to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.5 + 11. Let u = 35.4 - 32. Which is the third biggest value? (a) -2 (b) -1 (c) y (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 1\/112*r**8 - 94*r**2 + 3\/5*r**6 + 0*r**3 + 0 - 8\/5*r**5 + 0*r - 4\/35*r**7 + 2*r**4. Let s(p) = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 8, -6*h + 6 = -m - 9*h. Solve -2\/5*u**2 + 2\/5*u**4 + 2\/5*u**5 + 0*u + m - 2\/5*u**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497327310 divided by -82887885.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -9*t**2 - 8*t + 10*t**2 + 3*t + 2. Let z(q) = q**2 - q. What is -o(j) + 3*z(j)?\nAnswer: 2*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, n: 2, i: 10}. Give prob of sequence gii.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62879347703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 46*h + 37. Calculate the least common multiple of 8 and n(-19).\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, l: 5, t: 7}. What is prob of picking 2 l and 2 n?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140892*q**5 + 9127144*q**4 - 14831660*q**3 + 6845456*q**2 - 48*q = 0. Calculate q.\nAnswer: 0, 2\/285223, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 95 in decreasing order.\nAnswer: 95, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 4*l - 4. Let g(y) = -2*y**2 - 7*y - 9. Let s(k) = -2*g(k) + 5*o(k). Let i be s(-5). Solve i*h + 14 = -4*j, -2*h + 0*j - 6 = 2*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/18*3)\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2674*d**5 - d**4 + 2*d**2 - 1645*d. Let q(p) = p**4 - 2*p**2 - 2*p + 1. Let x(h) = -l(h) - q(h). What is the second derivative of x(r) wrt r?\nAnswer: -53480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.765 and 27772.145.\nAnswer: 27772.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(-5*14\/105)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425375 a multiple of 905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:38 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2 - 1011*h + 49206 = 0. Calculate h.\nAnswer: 59, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*c**3*d**3 + c**3*d**2 + 10*c - 18*d**3 wrt c.\nAnswer: -564*c*d**3 + 6*c*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(10)\/sqrt(2) + sqrt(5) + (sqrt(5) - (sqrt(40) + sqrt(120)\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -0.09 (c) 0 (d) -2\/45 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67060 = 61*x + 16186. Calculate the least common multiple of x and 18.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1174443, 2348941, 3523409, 4697829, 5872183?\nAnswer: 7046453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -1\/10*u**5 + 0*u**3 + 3*u + 1\/6*u**4 + 0*u**2 + 0 - 2\/15*u**6. Let w(v) = 0. Calculate v.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1238198 divided by -2\nAnswer: -619099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1053 + -1053.0000571. Round a to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237665103 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 1, d: 2, j: 5, z: 1}. Give prob of sequence pjj.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2037, -4078, -6119, -8160, -10201?\nAnswer: -12242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1483065 and -111\/1318280.\nAnswer: 11864520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4956 and 121548.\nAnswer: 7171332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 31230.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 8*z**2 + 216. Let y(i) = 7*i. Determine y(t(m)).\nAnswer: 112*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1077)\/(-5385)*((-30)\/13)\/(-1).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -604895*w**3 + 314531*w**2 wrt w?\nAnswer: -3629370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/2)\/((-1)\/16). Suppose -b = -2*n + 28. Let r = -7 + n. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3873, 31197, 105357, 249771, 487857, 843033?\n\"Answer: 3903*o**3 + 3*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, 1.3, -3\/4, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1098 and 610?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3300103 + -2?\nAnswer: -3300105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -6, -0.5, -387?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 6:21 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385*a**2*i**4 + a**2*i**3 - 4*a**2*i**2 + 2*a*i**2 - 5*i**2 wrt i.\nAnswer: 9240*a**2*i + 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (26\/39)\/((-2)\/(-15)). Suppose -102 - 162 = m*t - 3*n, -3*t + 2*n = 158. Let o = t + 77. Solve 5*z = 10, 5*g - 5*z - 3 + o = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g**3*n**4*o**2 + 52*g**3*n**4 - 2*g**3*n**2*o - 2*g**3*n**2 - 199*g**3*n*o**2 - g**2 - 2*n**2*o**2 wrt n.\nAnswer: -168*g**3*n*o**2 + 1248*g**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13230 divided by -630\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15376 + -15376.8. What is the fifth smallest value in -2\/3, 1, -1.08, 0, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45471 is divided by 429.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 175*n + 151. Let j(v) = -82*v - 75. What is 13*j(r) + 6*k(r)?\nAnswer: -16*r - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 13*m + 28. Let n be j(-11). Which is the third biggest value? (a) 0.3 (b) n (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -0.5 (b) 2 (c) 166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 67 + 34 - 538*r - 279*r.\nAnswer: -817*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**2 - 221*p + 3*p**2 - 31*p**2 - 45*p**4 + 12*p**2 + 12*p**2 wrt p.\nAnswer: -540*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 254826 and 2886.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18*v**3 + 57*v**2 - 51*v + 12. Let i(s) = 9*s**3 - 28*s**2 + 25*s - 6. Let x(f) = -4*g(f) - 9*i(f). Factor x(l).\nAnswer: -3*(l - 1)**2*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 - -1) + (-1427 - -1418).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -121. Let b = 33 + -46. Let y = w - b. Calculate the highest common divisor of 10 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 19. Let d be p(6). Let k = -8 + d. Let a be (-48)\/(-9) - k\/15. Solve -z = -a*z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56584285*j**3 + 16968790 wrt j?\nAnswer: -169752855*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 20, 0 = d + 3*j + 14 + 1. Put 1, -1, d in descending order.\nAnswer: 1, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239029 = -6943*d - 27869 + 10007 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-18)*-3*4\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*v - 10 = 0, 0 = -6*k + k + 3*v - 6. Suppose -5*b + 20 = k, 5*p = 3*b + 2*b + 235. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*r. Suppose r*s + 104 = s. Let k = 27 + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*a - 101*a - 44*a + 14*a - a**2 + 14*a to the form c*a**2 + g*a + w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 34 = -2*z, 2*z + f - 18 = -4*f. Let t = -9 - -23. Calculate the highest common divisor of z and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) 4 (b) 10 (c) 1162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 384*x**2 + 48*x**2 + 63*x + 9 + 85*x - 148*x to the form k*x + j + q*x**2 and give q.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*m**3 - 7*m**2 + 826 wrt m?\nAnswer: -30*m**2 - 14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let c be 29\/(-9) + 6\/27. Let h = -9 - -4. Sort c, h, n in increasing order.\nAnswer: h, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 5 = 9. Let n(a) = -a**2 + 2*a + 2. Let w be n(2). Find the second derivative of 6*s - s - 5*s**w - 2*s**x wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-27 - (-1292)\/24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/60 + 38*h**2. Let y(q) = -21*q**2. Determine l(y(w)).\nAnswer: 441*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/4 - (-158)\/(-12) and (-4485)\/(-1890) + ((-258)\/(-84) - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54716450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3339*t - 3342*t - z - 2 = 0, -10 = -z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*r + 13 = 0, 0*r = -3*t + r + 7. Suppose -u + v = -t*u + 26, -u - v = -15. What is the highest common factor of u and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06096 + 93.93904. Sort -5, s, 5\/3 in decreasing order.\nAnswer: s, 5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1164 times 2?\nAnswer: -0.2328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 2622319.4.\nAnswer: 2622319.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**3 + 3*r**2 + 11*r + 7. Let b(a) = -5*a**3 - a**2 - 6*a - 4. Let g(p) = -5*b(p) - 3*c(p). What are the prime factors of g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = 5*q, -4*r - 2*q - 1 = -3*q. Let x(f) = f - 1. Let w be x(6). Suppose -w*a - k + 214 = 0, a + r*a - 46 = -k. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:23 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/3754014 and -65\/92?\nAnswer: 7508028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0626 to three dps.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/127834 and -65\/644?\nAnswer: 255668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10455109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/30 + 132*x**4 + 209088*x**3 + 638*x**2 + 3. Factor p(a).\nAnswer: 2*(a + 792)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17089 and 115?\nAnswer: 85445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + t - 5. Is r(3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2675 = 107*y + 1091*m - 1096*m, 2*y - m = -50 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/3 + 2*(-2)\/12. Suppose -a*f + 0 + 27 = 0. Is f <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10*b**2 + 7*b**2 + b**2 - 11429*b.\nAnswer: -2*b**2 - 11429*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21111763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1002010301 (base 4) to base 11\nAnswer: -175378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 447*o + 3573. Let g be w(-8). What is the second smallest value in 2\/15, 4\/23, -3\/2, g?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 1\/34, -5687?\nAnswer: -5687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2531, 5904, 10137, 15230, 21183?\nAnswer: 27996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*t = -44, -5*n + 4*t - 1 = -15. Let b(g) = 3*g**2 - g - 10. Is b(n) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((13 - 13)\/(1 + 1))\/2. Suppose z = -19*h + 21*h - 454. Calculate the remainder when h is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 36. Let m be ((-10)\/12*4)\/(2\/y). Suppose 4*d - 6143 = -v, 2*d + 0*v - m*v = 3055. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**17)\/v*v**(17\/4)*(v\/(v**(-2\/9)*v*v))\/((v\/(v\/(v\/(v*v*v*v**(-4\/11))))*v*v*v)\/v) assuming v is positive.\nAnswer: v**(-5501\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 653530 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25485 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6667 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - n**2 + 10*n. Let d(j) = -7302*j**3 + 3*j**2 - 33*j - 2219. Let a(f) = d(f) + 3*u(f). Find the second derivative of a(l) wrt l.\nAnswer: -43830*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9d346 (base 16) in base 8?\nAnswer: 2351506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -347 or -446?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 325070 and 475739945.\nAnswer: 951479890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50703494 rounded to 3 dps?\nAnswer: 0.507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47732.38t to kilograms.\nAnswer: 47732380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4*u)*(0*u**3 + 2*u + 4*u**3 - 2*u**3 - 4*u**2) to the form v + b*u**4 + j*u + z*u**2 + a*u**3 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 j, and 1 o when four letters picked without replacement from {k: 10, i: 1, o: 4, j: 5}.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 2168 - 2065 = -s + 4*q, 0 = -2*q + 6 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9 - 3)\/3 - -1. Let b(r) = r**2 + 5*r - 8. Let a be b(-7). Suppose 2*z = -2*p + 944, 4*z - a*z - f*p = -947. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**3\/3 + 4*m + 60. Let z be u(0). Solve -2*k + 3 + 1 = 2*i, 0 = -z*i - k + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {g: 2, c: 1, z: 1, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 4*d + 24*x - 178 = -7*x, 3*x + 81 = 4*d - 112 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*l**5 - 49\/3*l + 14\/3*l**4 + 0 + 16*l**3 - 14\/3*l**2.\nAnswer: l*(l - 1)*(l + 1)*(l + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 51*z - 5*z + 13*z**2 - 21*z - 2*z + 20 - z**3. Let a be c(15). Let x = a - -84. Sort x, -4, -5 in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -14. Let i = -3 + x. Suppose i*a - 103 = -5*m, 8*m - 4*m - a - 79 = 0. Solve -2*p + 4*p - m = -4*q, 5*p = 5*q - 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 2*m + 24. Suppose m*p + 17 = -37. Let x = 10 - p. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -da - 5?\nAnswer: -df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8038688, -8038682, -8038672, -8038658, -8038640, -8038618, -8038592?\n\"Answer: 2*w**2 - 8038690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 53. Let h be 295\/6*(-3)\/(-4). Let x = -37 + h. Which is greater: x or l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.1 + -2.9. Let i = g + 21. Which is smaller: i or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -t + 7, 5*z + 0 = 5. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2. Let m(l) = -95*l + 50. Let s(f) = 16*f - 8. Let z(x) = -4*m(x) - 25*s(x). Give y(z(d)).\nAnswer: 400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/4 - (9321\/(-26) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -91. Let n be (-5)\/(-5)*k*-2. Solve 0 = 2*p - n - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135605500 to the power of 1\/2, to the nearest integer?\nAnswer: 11645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18940 + -12890. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**2 + 2*y - 12. Let z = -289 - -292. Let q(d) = -2*d**2 + d - 4. What is z*g(u) - 8*q(u)?\nAnswer: u**2 - 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2388874\/13 or 1?\nAnswer: -2388874\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46d39c (base 14) to base 15.\nAnswer: -32b77a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*a = 16, -7*a = -5*s - 3*a - 20. Sort s, 0, 303 in descending order.\nAnswer: 303, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 1819, -2 in descending order.\nAnswer: 1819, -0.23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 153738?\nAnswer: 614952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 - 6.5. What is the fourth smallest value in 4\/5, q, 0, -5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r. What is m(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -220032222210 (base 4) to base 16\nAnswer: -a0eaa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.164915418 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:39 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 972547307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129587 is divided by 396.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2816.319 and -0.3344.\nAnswer: -2816.6534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 500660 (base 7) in base 14?\nAnswer: 22a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {y: 1, u: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-6*sqrt(171)*-4 + (sqrt(171) + -4)*6)**2.\nAnswer: -308952 + 8640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3087195 and 1445070.\nAnswer: 67918290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 229134 (c) -8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1762000 to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from sssosihsssshhs.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let u(p) = 7*p - 84. Let v be u(12). Suppose y = a, 3*y + v = 2*a + 3. Solve -a*n - 15 = i*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f, 0 = -0*n + 2*n - 3*f - 14. Suppose -4*g + 20 = -56. What is the remainder when g is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2205 and 1394785?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -13*w + 6 + 39, 3*w = 2*u - 7 + 2 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8420173*k - 7771115?\nAnswer: -8420173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3. Let b be p(1). Suppose b*z - 106 = -0*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 2. Let g(n) = -37*n - 79. Let s(y) = -g(y) - 6*t(y). What are the prime factors of s(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 5*q - 15, -10*g + 7*g + 10 = -q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 3*n - 4. Let x be g(0). Let w be (-1)\/4 - (-4 - 15\/x). Is w greater than -2\/97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from wifwgwfiwww.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20787 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2499, 13395, 29289, 45183?\n\"Answer: 15894*k - 18393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzzh when four letters picked without replacement from {h: 5, z: 2, i: 5}?\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 487 = 5*a. Let g = -27 + a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312*u**2 + 17*u + 5 wrt u?\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000101010101000 (base 2) in base 12?\nAnswer: -18660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57 + 172 + 374998*l**2 - 373619*l**2 with respect to l.\nAnswer: 2758*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3. Let h be (-2)\/(0 + -1) - o. Calculate the common denominator of -11\/7 and (h\/4)\/(5\/122).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*s**2 - 1 + 19 - 12*s**2 + 15 - 8 in the form r*s**2 + h + w*s and give r.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16301845.\nAnswer: 5, 7, 233, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12159 and 3265367?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -4313?\nAnswer: -4316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 48*t**2 - 2290*t + 109979. Determine b(48).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -8fca?\nAnswer: -8fcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9647 is divided by 241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y - 62*y + 3955 + 3398 = 0. Calculate the remainder when 209 is divided by y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17720*b**6*c - 61*b**3*c**2 + 101358*b**2*c - 38*b + c**2 - 2 wrt b.\nAnswer: 2126400*b**3*c - 366*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11817 + -11816.6. Put k, -1, 0.12, -2, 65 in decreasing order.\nAnswer: 65, k, 0.12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*f**2 + 34*f**3 - 37*f**2 + 18*f**2 as w*f**3 + r + d*f + k*f**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.99 + -4. Let w = -3.01 - r. Which is bigger: 1\/3 or w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-31)*k**(-5)\/k*((k**0*k)\/k)**(2\/3) assuming k is positive.\nAnswer: k**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - (7 + -5)) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -0.7. Put p, 2\/3, 2, 6 in decreasing order.\nAnswer: 6, 2, 2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-130)\/45)\/13 + 25\/(-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 4255*k + 3*k**2 + 4240*k + 20. Calculate u(-12).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13205 - 2*c + 13205.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(396) + 3 + -2 + sqrt(396) + sqrt(396) + ((-2 + sqrt(396))*-4)**2)*1*-1.\nAnswer: -1464*sqrt(11) + 25604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 0.3, -0.1, 82 in decreasing order.\nAnswer: 82, 0.3, -0.1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -1\/6*n**4 + 0 - 1\/5*n**5 + 2\/3*n**3 + 0*n**2 + 1\/15*n**6 + 2*n. Factor w(k).\nAnswer: 2*k*(k - 2)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-481)\/777))\/(-2*(-2)\/4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -3031*u**4\/12 - 38*u**2 - 30*u - 51. Differentiate d(a) wrt a.\nAnswer: -6062*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h**3 - 5*h**2 + 18*h - 7. Let s be v(3). Let q = s + 4719\/16. Calculate the common denominator of 23\/204 and q.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = 7*s. Put -0.5, 0.4, s, 1\/4 in increasing order.\nAnswer: s, -0.5, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/v)\/v**(2\/9) assuming v is positive.\nAnswer: v**(-73\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -6 + (8 - -4) - -31) + 9.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 44*j**3 + 5*j + 3. Give l(-1).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 7*v**2 - 2*v**2)*(-4*v + 0*v + 2*v) + 3*v**3 + 2*v**3 - 3*v**3 - 19 + 19 - 10*v**3 - 2*v**3 - v**2 + v**2 - v**3 - 2*v**3 + 4*v**3 - 1.\nAnswer: -13*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t - 70 = -48*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 189465 and 719967.\nAnswer: 3599835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 186.1.\nAnswer: -1116.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (46 - (39 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24750370 and 430.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) 169 (c) 0.3 (d) -0.1 (e) -38 (f) -176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -142, 0.4, -3?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*o**3 + 2 - 2*o**4 - 35*o**3 + 5*o**4 + 82*o - 80*o in the form t*o**3 + z + q*o + j*o**4 + p*o**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 46. Let x be b(25). What is the biggest value in -0.3, x, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 425*b**2 - 261*b - 212*b**2 - 4076*b - 214*b**2 in the form d*b**2 + i*b + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024 (base 5) in base 9?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*h - 3*h - 2*b, 5*h + 3*b - 12 = 0. Let f be (h - 0) + -1 + 1. Solve 2*l + 5*d = -15, -3*l + 4*l - 9 = f*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 4*s + 20, 0 = 4*g - 5*s - 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 996 - 812. What is the greatest common divisor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 879270 divided by 318.\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1298.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2493 + -2471. Which is the fourth smallest value? (a) -13 (b) u (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 15*b**3 - 24*b**2 + 36*b.\nAnswer: 3*b*(b - 6)*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1864260 divided by 60.\nAnswer: 31071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 - (0 + -1 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011249 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5554 - 2719. Let i be (s\/(-12))\/(1\/(-4)). Suppose -2*r + 402 = 4*m, 0*m + i = 5*r - 2*m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let p(m) = m + 1. Let h be p(b). Solve -r = 3*g + 8 + 4, -4*g + h*r = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 31*o - 71 + 29*o + 54.\nAnswer: -2*o - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 34.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j - 28*j + 5*j + 13*j as m + b*j and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1427950*m**2 + 1087745*m.\nAnswer: -2855900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -297, -301, -307, -315?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -57.35 + -3779\nAnswer: -3836.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 5) + (-180)\/(-50). Let u = 0 + -0.1. Which is the nearest to u? (a) q (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -15, 5*j = 3*k + 6 + 4. Suppose -j*w - 4 - 6 = 0. Let f(z) = -5*z - 8. Let g(v) = -1. Let b(h) = f(h) - 5*g(h). Calculate b(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -115. Let l = h - -6. What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 4. Let r(o) = o**2 + 4*o + 1. Suppose 0*i + 2 = -2*i + 3*v, -v = 2. Let u be r(i). Solve -u = -p + k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048569 to 7 decimal places.\nAnswer: 0.0000486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, 25, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 6) in base 7?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 148883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n - n**2 - n + 2*n**2 - 1 - 4*n. Let l be b(-3). Suppose l + 15 = 5*q. 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 223 = z - 36. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 2, k: 4}. What is prob of sequence kiss?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*c + 304 - 312, -10*g - 22 = c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13749 is divided by 118.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*g - 3*n, 3*g + 0*n = -5*n + 19. Let b be (13\/g + 6)\/(2\/(-28)). Let z(f) = -f**2 + 5*f - 6. Give z(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + 1*-1*sqrt(6)\/sqrt(2) + (((sqrt(147) - (sqrt(147) + 0)*5) + sqrt(147))*2)**2).\nAnswer: -6*sqrt(3) + 31734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.103?\nAnswer: -0.0515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*(-27)\/(-36). Let h = -80 - -79.9. Let n = 1\/30 + 7\/90. Which is the second smallest value? (a) o (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 + 4488\/451?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 11. Let r be p(-10). Let b(w) = 4*w**2 + w + 1. Let j be b(r). Suppose -911 = -j*q - 239. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 55.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -2, -0.73, 1, -1\/5, 5?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 648 and 13122?\nAnswer: 52488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*q - 48 = -18, -3*c = 2*q + 21. Let w be -2 + ((-3)\/c)\/((-2)\/6). Which is smaller: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3497 - -3144.45. Round g to 0 decimal places.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -2 - 4\/(-30). Let i = 93 - 92. Which is the nearest to i? (a) w (b) 0.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-188)\/20 - ((-176)\/40 + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2169 < -2169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 601 (c) -1\/5416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-475)\/57*2*(-18)\/(-30)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven eighths of a week?\nAnswer: 8820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.042 + -1.042. Let x = 5030 + -166007\/33. Let l = -2\/11 - x. Put l, -0.9, g in descending order.\nAnswer: l, -0.9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*i**4 - 3*i**4 + 0*i**4)*(2*i - 2*i - 3*i) - 3*i**5 + 0*i**5 + i**5 + (-2*i**4 - 2*i**4 + 6*i**4)*(-2*i + 2*i - 2*i).\nAnswer: 72*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 332\/2*(-1)\/(-8). Let j = h - 21. What is the biggest value in j, 2\/15, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 27 = 5*n, 0 = 733*n - 732*n - 5. Solve -3*r + 2*q + 0 = 2, v*q = -4*r - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 - 2.6. Suppose -5*x - 2*r + 42 = -82, r + 3 = 0. Do x and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Suppose -3*f + 9 + 12 = y. Calculate the lowest common multiple of 6 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -4 + 40 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -803 + 803. Let f = -9 + 14. Suppose i = -f*q + 5704 + 9381. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -10*v + 1. Let y(f) = 66*f - 22. Let m(u) = -13*u + 4. Let p(i) = 11*m(i) + 2*y(i). What is 3*p(k) - 2*r(k)?\nAnswer: -13*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10805a7 (base 11) to base 6\nAnswer: 104255135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1344072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/26332 and -67\/428.\nAnswer: 2817524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o + 0*o + 2*o + (-3 + 3 - 1)*(0*o + o + 0*o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6812 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0.1 (c) 825\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1122021 + -32220030?\nAnswer: -100002111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3536?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11853165 and 1836?\nAnswer: 426713940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -5, 12, -0.1, 5\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - 5114?\nAnswer: -5096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*a**5 + a**4 - 3*a**3 - 14484*a**2 wrt a.\nAnswer: -4500*a**2 + 24*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*i*m**5 - i + 3*m**5 - m**3 + 4*m - 21 wrt m?\nAnswer: 820*i*m**3 + 60*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288375755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 14*l + 945. Let d be q(-66). Let w(p) = 4*p**2 - p + 2*p**2 - 4*p. Let r(z) = -24*z**2 + 21*z. Calculate d*w(m) + 5*r(m).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*c - 10*c + 10080 = -79*c - 61*c for c.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 4. Let i be w(-3). Let o = -4 - i. Solve -21 = -4*g - q, 2*g - o*q + 2 = -q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 40 - 64. Let x(a) = -a**2 - 9*a - 9. Give x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 221 = 4*o + 7*w, 144 = 3*o - 5*w. Let q = 128 - o. What is the least common multiple of q and ((-6)\/9)\/(1\/(-9))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(80) + 3.\nAnswer: 6 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 1812*x + 3636 = 0. Calculate x.\nAnswer: -2, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 667993350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 98588*w - 1479166. What is i(15)?\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5\/2 + -11\/6. Let m = 0.755 + 71.845. Let v = 73 - m. Sort -3, j, 0.2, v in increasing order.\nAnswer: -3, 0.2, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 61509069.\nAnswer: 61509064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64221.74 millilitres?\nAnswer: 64.22174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6979627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 741*w**4 - 17*w + 383*w**3 - 385*w**3 - 743*w**4 to the form c*w**3 + a*w**4 + l*w**2 + n + f*w and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 5. Let r be m(-5). Suppose -6*x + 2*x + 28 = r. Suppose 0*n - 2*n + 8 = 0. What is the remainder when x is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -828, -1595, -2374, -3171, -3992?\n\"Answer: -g**3 - 760*g - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**18)**22 assuming z is positive.\nAnswer: z**(-374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 4, 0, 65, 10, 6, -3 in decreasing order.\nAnswer: 65, 50, 10, 6, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haah when four letters picked without replacement from {h: 3, a: 4, n: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 45 - (181 + -172)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 - 339*l + 2420. Let a be x(7). What is the highest common factor of 47 and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -73*x + 81. Let q be o(-5). Let z = -444 + q. Solve 2*j + 19 = 3*w, -14 - 15 = -5*w + z*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9619420 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 3\/31 (c) 0.2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o + 120. Let q be g(28). Suppose -33*p - q*p + 111971 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/56 - (-1758)\/4. What is the greatest common divisor of s and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2476329\/10, -4, 0.4, 1\/5 in ascending order.\nAnswer: -2476329\/10, -4, 1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299333 divided by -21?\nAnswer: -61873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o + 14. Give x(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47949791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 2. Let a(b) = b + 1. Let o(y) = 14*a(y) - 6*d(y). Let z be o(2). Suppose -20 = -5*u + 3*g + 108, 2*g + 102 = 4*u. Solve w - u = z*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 - -143. Which is bigger: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -19. Let p = -14 - -32. Calculate the remainder when (-4)\/p - 1414\/(-126) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.097 and -0.022684?\nAnswer: 0.074316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19040 and 4?\nAnswer: 19040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 145587?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rraajajattt. What is prob of picking 2 t, 1 j, and 1 a?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 18}. Give prob of picking 1 c and 1 i.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k**3 + 10*k**2 - 21*k. Let o(f) = f**3 - 2*f**2 + 4*f. Let c be 2*18\/(-96) + (-57)\/(-24). Give c*h(i) + 11*o(i).\nAnswer: -i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*f + 39*f + 2*f**3 - f**3 to the form u*f + w*f**3 + l + g*f**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/52 and 39\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k**3 + 1824 - 1819 + k**3)*(k**2 + 2*k**2 - 5*k**2) - 5*k**4 + k**5 + 5*k**4.\nAnswer: -31*k**5 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116\/14 + 68\/(-238) and 26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmxtwggn. Give prob of picking 2 g and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*r - 46, -r - 2*p + 5 = -10. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*p**3 + 299*p**2 - 5*p + 1524.\nAnswer: -414*p + 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420 (base 5) to base 12.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + 35 + (-49 - 28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 383 = -2*o - 242, 2*o = 4*i - 834. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145462789, 145462787, 145462785, 145462783?\nAnswer: 145462781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*s**2 + 152 + 172 - 80*s**3 - 720*s + 4*s**4 + 31*s**2 = 0. Calculate s.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-10\/3)*x))\/x**(-23\/2) assuming x is positive.\nAnswer: x**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -3. Suppose 0 = -r + v - 3. Suppose -3*p - 3*s + 9 = -12, -s = r*p - 11. Put -4, p, -5 in decreasing order.\nAnswer: p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1502 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115253, -230556, -345905, -461300, -576741?\nAnswer: -692228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 9*l**4\/4 + 2*l**2 + 248*l - 1. Let y(r) = -262*r. Give d(y(o)).\nAnswer: -14148*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 12. Let t = 10171\/10 - 1018. What is the common denominator of t and 66\/4*(-3 + v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 0*u**2 + u**4 + (0*u - 2*u + u)*(19*u**3 - 5*u**3 - u**3) + 0*u**4 - 2*u**4 + 3*u**4.\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 4. Let l = 11 + -7. Suppose -4*w = l*r, -2*w = r + w. Determine f(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = -3*r + c, 4*r = -4*c - 4. Suppose -52 = r*u - 16*u. Solve n + 3*n = -u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 15*z - 163. Let o(i) = 8*i - 82. What is -6*b(y) + 11*o(y)?\nAnswer: -2*y + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 + o**2 - 11*o**2 + 2*o**2. Let b(m) = -8*m. Give r(b(k)).\nAnswer: -192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5707 - 2867. What are the prime factors of o?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(2662) - 1*(4*sqrt(2662) + sqrt(2662))))\/(-6*((sqrt(18) + sqrt(18)*-2)\/sqrt(9) + sqrt(2) + sqrt(22)\/(sqrt(11)*-1))))**2.\nAnswer: 21296\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44272602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 + 3. Let l(i) = -4*i**3 - 22*i**2 - 70*i - 6. Let k(d) = 2*c(d) + l(d). Find the second derivative of k(q) wrt q.\nAnswer: -24*q - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 42 = 41*c - 222 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*x**5 - x**4 + 24*x**3 - 1948*x wrt x?\nAnswer: -140*x**3 - 12*x**2 + 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -0.6 (c) -2\/5 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10673387, -10673488, -10673657, -10673894, -10674199?\n\"Answer: -34*b**2 + b - 10673354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 60 = 9*u. Solve 0 = -18*f + 19*f - u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 10*o**5\/11 + 6976*o**4\/11 + 519098*o**3\/11 + 306164*o**2\/11 - 205968*o\/11 = 0.\nAnswer: -613, -84, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 1. Suppose c - 2 = -5. Give w(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46609 + -7415. What are the prime factors of p?\nAnswer: 2, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00292581808 to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + y + 1. Let c(k) = -20*k**3 - 4*k**2 + 22*k + 4. Let j(h) = -c(h) + 4*t(h). What is the second derivative of j(i) wrt i?\nAnswer: 120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**8\/14 - 13*x**7\/42 + 3*x**5\/20 + 1219*x**4\/3 + 5317*x. Find the third derivative of b(z) wrt z.\nAnswer: 480*z**3 - 780*z**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 126*h - 4*h**3 - 129*h + 2 in the form v*h**2 + r*h + z*h**3 + g and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133945\/734 or -183?\nAnswer: -133945\/734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 0 + 1 + 3*l**3 - 3*l**2 + 0*l**3. Let v be y(3). Suppose -2*x + 5*x - v = 4*g, 3*x - 3*g = 51. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 671266628\/(-14)*1 - 2\/(-7). Let w = 3885652109\/81 + f. Let m = w + -23398. What is the common denominator of 27 and m?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2, i = -0*z + 5*z + 1. Is -3\/26 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -259 + 377. Let u = 117.793 - k. What is u rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114437 (base 8) in base 11?\nAnswer: 274a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(459) - (sqrt(459) - (2*sqrt(459) + sqrt(459))))\/(sqrt(18)\/sqrt(6)*1))**2*-5.\nAnswer: -27560 - 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - c**2 - 3*c - 4. Let f be i(3). Suppose -3*d - d - 2 = f*y, -4*y = 4*d. Let h = 6200 + -6185. Solve -h = d*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24159, 96577, 217273, 386247?\n\"Answer: 24139*o**2 + o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and -23.3890371.\nAnswer: -50.3890371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 3*x**3 + 3*x**3)*(-x + x + x**2) + 0*x**5 - 4*x**5 + 2*x**5 - 21*x**3 - 27*x**5 + 21*x**3.\nAnswer: -31*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-6)\/(-33) + -116*(-16)\/1408. Which is the closest to 2\/7? (a) -2\/7 (b) -0.3 (c) -4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 72 + -63 + 27\/(-3). Let p be (-92)\/(-6) - 6\/(-9). Solve x = -17*f + p*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -5, -22, -41, -62, -85, -110?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062143 rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 48 = -t, 0 = l + 2*t + 3*t - 24. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1002 - -124119613118.\nAnswer: 124119612116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -541 or -542?\nAnswer: -541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -274.\nAnswer: 82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -10.04. Suppose -26 = -2*o - 2*t, -5*o + t + 3*t + 92 = 0. Suppose o*g + 30 = -50. What is the third smallest value in 0.2, g, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**5\/60 - d**3\/3 - 37*d**2. Let a(t) = 5*t**2 + 9. Determine 4*a(z) + 18*c(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*v = -7*v. Which is the nearest to v? (a) 0.3 (b) 1\/5 (c) -1\/3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 225*m**3 - m**2 - 12*m - 12065?\nAnswer: 675*m**2 - 2*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 80 = 7*k. Let j be (-6)\/k*-2 - 774\/(-301). Let h = -2 - -6. What is the third smallest value in h, j, 1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 7:40 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.6047 and -27.196?\nAnswer: 24.5913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 566618*s**2 + s. Let h(m) = 2*m + 45. Calculate h(u(t)).\nAnswer: 1133236*t**2 + 2*t + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19 - 11 - 1*-2. Let v = 27 - 5. Let m = r + v. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, p: 2}. Give prob of picking 1 p and 3 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1*(2\/9*-4)\/(14436\/(-32481))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -23, -47, -93, -167?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(95)*-2 + sqrt(95))\/sqrt(5).\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11304 + 11303.988989. Let y = c + 0.0410095. Let n = -0.03 + y. What is n rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by -2 - (-3 + 10*-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101122101001 (base 3) to base 13\nAnswer: -7447c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-1)\/10). What is the greatest common divisor of 35 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2 + 18*p. Let z be g(8). Suppose -f - z = -9*f. Suppose s - f = -0*s. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 11*i - 536. What is the remainder when i is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16636.5 or 16?\nAnswer: -16636.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h + 1. Let r(m) = -m - 3. Let q be r(-2). What is t(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 + 30 = 5*r. What are the prime factors of (-123)\/(4 - r\/(-4))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -66*d + 494*d**2 + 9 - 32*d**2 - 107 - 32*d. Let n(a) = -14*a**2 + 3*a + 3. Let u(g) = -98*n(g) - 3*s(g). Let v(f) = 6*f. What is v(u(w))?\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u - 5*k = 1036, -u = -2*k - 1021. Suppose -5*c + h + u = -0*h, 0 = -2*c - 4*h + 422. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/16780 and 22\/37755.\nAnswer: 151020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 5) in base 2?\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 3, k: 1}. Give prob of sequence umm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*r**4\/5 + 183*r**3\/5 + 768*r**2\/5 + 708*r\/5 + 144\/5 = 0. Calculate r.\nAnswer: -2, -1, -2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.29 times 0.05\nAnswer: -0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1456 is divided by (5\/((-30)\/18)*3)\/((-7)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 4*c - 22, -1055*c - 36 = -2*i - 1051*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**3 + 41*a**2 + 1409*a + 12279. What is k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/4)*y)\/(y*y**2\/y))\/((y**(-1)*y*y*y*y)\/y)**(3\/7))**(-4\/15) assuming y is positive.\nAnswer: y**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 9. Let n be l(4). Let v(f) = -f**2 - 3*f - 1. Let z be v(n). Let h = z - -6. Solve 0 = -2*r - h - 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -702*c**2 - 84*c - 4. Let x(b) = -703*b**2 - 70*b - 3. Calculate -5*h(l) + 6*x(l).\nAnswer: -708*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 3*o = 45. Suppose -3*r + w - 266 = 0, r - 3*w + 87 = o. Let y = -81 - r. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148900 (base 14) in base 5?\nAnswer: -140341304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 290\/(-87)*2\/(8\/(-6)). What is the second derivative of 25*x**5 - 122*x - 8*x**5 + 32*x**i - x wrt x?\nAnswer: 980*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + 34*n**2 + 26*n + 179. Let i be y(18). Let p = 561\/24206 - -2\/637. Is p smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from bdzdddddbd?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*b + 86*b = 5*u - 44, 2*b - 27 = -3*u. Suppose -5*p - a + 27 = 0, -a = -4*p - 2*a + 21. Put b, 5, p, 1 in descending order.\nAnswer: p, 5, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83536 to the nearest 1000.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and -138495187984.\nAnswer: -138495187985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**3 - 2*g**3 + 4*g**2 + 11 - 6 + g**3. Let k(v) = 2*v**3 + 9*v**2 + 11. Determine -3*k(c) + 7*q(c).\nAnswer: c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 21*w - 6. Let r be 2\/9 - 83\/9. Let u(c) = c**3 + 8*c**2 - 9*c + 6. Let g be u(r). Let h be m(g). Round h to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*o = -2*a - 52, 3*o = -4*a + 113. What is the lowest common multiple of 44 and a?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15304*g**2 - 226894*g**2 - 451943*g**2 + 0*g + 0*g.\nAnswer: -694141*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90309.18 millilitres in litres?\nAnswer: 90.30918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8*i + 0 - 7*i - 6*i.\nAnswer: -5*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 3*v - 2*v - 2*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1, 213?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -18, -992 in descending order.\nAnswer: 2, 0, -18, -992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -208d7a?\nAnswer: -208d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 10 = -2*c, -6 = 4*c - 3*z - 2*z. Is 7\/4*(c + 211) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by -29.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2808760872 - 2808760872 - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*u - 4, 6*u + 20 = 2*l + u. Suppose -l*v + 460 = 15. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75.856 and -0.2.\nAnswer: 15.1712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/24 and 143\/1152.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 2, s: 2}. What is prob of sequence een?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/8 and -37\/14839.\nAnswer: 118712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(((sqrt(1053) + 0)*-5 - sqrt(1053) - sqrt(1053) - sqrt(1053)) + (-1 + sqrt(1053)*2)**2).\nAnswer: -21065 + 540*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.062215268 rounded to two dps?\nAnswer: 10.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 117839460 rounded to the nearest 1000000?\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-0.2.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 5*f + 6. Let m be c(-4). Let z be 2\/(-5)*(0 + -15). Let a(o) = o**3 - 6*o**2 + o - 1. Let g be a(z). Solve l + m = g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3428.4697 to the nearest 10.\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91.98 + -936.82. What is b rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1447 - 0.4447. What is the nearest to -0.005 in 3\/8, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 18854?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 468*h**4*w - 3*h**3*w - 44*h**2 - h*w wrt h.\nAnswer: 11232*h*w - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*((i\/(i**10\/i)*i)\/i)\/i*i\/i**(2\/73)*(i**8)**38 assuming i is positive.\nAnswer: i**(21679\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*k + 245*k + 1908 = 423*k for k.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48\/(-72)*25023\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5729*i**2. Let z(m) = 19*m**2. Calculate v(z(c)).\nAnswer: 2068169*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h - 42. Let v be ((-4)\/6)\/(h\/63). Suppose m - 388 = -v*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-8 - -7) - (60 - 95)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v + 57 - 2 - 93 - 74 - 5*v**3 + 4*v**3 to the form c*v**3 + r*v**2 + u + w*v and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 791 = 5*t - 3412, -t + 5*y = -849. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f**2 - 3*f**3 - 27*f**2 + 9*f**2 to the form w*f**3 + h*f + j*f**2 + n and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 2:03 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.935652 years in decades?\nAnswer: 0.3935652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y - 8*y**3 - 34*y + 28*y - 9 to s*y**3 + w*y**2 + h*y + z and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6467273 years?\nAnswer: 7.7607276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {l: 1, q: 1, a: 1, f: 1, p: 2, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 5*o**2 + 10*o - 22. Is b(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b**3 - 29*b - 11*b**3 + 6 - b**3 to p*b + h + o*b**2 + y*b**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -52*u - 1144. Let z be q(-22). Which is the second smallest value? (a) 8 (b) -6 (c) z (d) 0.3 (e) 2\/93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 36*p + 36. Let v be z(17). Let i = -89 - -454\/5. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 167098\/21813 - 56\/661. Let l = -34\/11 - y. Let u = 2\/651 + 15188\/651. What is the common denominator of u and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1361 - -1360.978. Let m = -12.022 - -12. Let l = m - q. Which is the nearest to l? (a) -4 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1389 = -1374. Let m be d*((-51)\/(-9) - 6). Suppose -8 = -3*s + 4. Solve -4*c = -b + 5, -b + s + 1 = -m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 31710 + 24112 = 44*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 - (3 - -1). Let b = s + 19. Suppose -3*n + 4*f = -56, -2*n = -5*n + 2*f + 64. Calculate the remainder when n is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, 2\/9, 2\/5, -56.\nAnswer: -56, -0.2, 2\/9, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 + 50. Find o, given that -4\/7*o + 2\/7 + 2\/7*o**i = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(15)\/sqrt(3)*3)**2) + (sqrt(80)*-3)**2 - sqrt(25)\/(sqrt(45)*-4).\nAnswer: 13*sqrt(5)\/12 + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131817078997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1) - (-14)\/(-63). Let s = -6674 + 6321.7. Let h = s + 352. Which is the closest to h? (a) 2 (b) 0.07 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 63*c**3 + c**2 - 1. Let o be l(-1). What is the units digit of 302\/18 + (-14)\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28\/45 - -1\/45. Suppose 0 = -2*q + 3*q + 1. Let d be -1 - (6\/(-12))\/((-6)\/12). What is the closest to d in 0.1, r, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dky. What is prob of picking 1 k and 1 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20316, 7237, 34792, 62349?\nAnswer: 89908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 984 = 4*b, 4*o - 3*b - 989 = -0*b. Suppose o + 115 = 2*l. Let p = l + -127. Calculate the remainder when p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/9)*z*z**(-3)*z*z**11\/(z**(2\/3)*z) assuming z is positive.\nAnswer: z**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 4*u**2 + 4. Let v be w(-4). Let s = 8 - 8. Suppose -2*y + s*y + 72 = 0. Calculate the greatest common divisor of y and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, c: 9, i: 4}. Give prob of picking 1 c and 1 i.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 246 = 245, 20*p + 5*v - 415 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 128.254?\nAnswer: 128.254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/555 and -49\/9?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71\/49140 + -956299\/687960. Let o be 296\/147 + (-17 - -15). Let d = q + o. Find the common denominator of d and 43\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 65932742 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -218, -400, -582, -764, -946, -1128?\n\"Answer: -182*s - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1652.6 times 0.2\nAnswer: 330.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48494074 to the power of 1\/2, to the nearest integer?\nAnswer: 6964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 235\/((-2)\/(-4 - -2)). What is the greatest common factor of 141 and g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3381951271999 take away 0.4?\nAnswer: -3381951271999.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 6*a + 7. Let n be z(-7). Let y = n - -155. Suppose 0 = r - 2*g - 14, -r + y = 3*r - 3*g. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6121524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10099355, -10099356, -10099357, -10099358?\nAnswer: -10099359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -26. Let b be 3\/(-2)*2 - f. Suppose -10 + 5 = -i. Solve r - i*r = b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77055*j + 77108*j - 154042*j.\nAnswer: 121*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (190 - 436 - 221 + (1 - 2 + 2)*(0 - 1 + 2))*(-2*p + p + 0*p).\nAnswer: 466*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 106*m**2 - 9085*m\/2 + 9513.\nAnswer: -(m - 2)*(m + 63)*(m + 151)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (72 + 93 - 28 - 12)*(-3 + 3 - 2*a) as i + n*a and give n.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:49 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(13) + (4*(sqrt(117)\/sqrt(9) + sqrt(13)))**2.\nAnswer: sqrt(13) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 9.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 68.7. Let f = t - -47. Let r = f - 3. Which is the closest to 2\/3? (a) 1 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = -13. Suppose 20 = 4*q + y*x + x, 2*q = 3*x + 10. Solve g - q*f = 0, 0 = -4*g + 3*g + 4*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1729 divided by -70?\nAnswer: 247\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.11 (b) 0 (c) -3\/4 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-440)\/(-11))\/(-5)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4589412 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -162 (c) -571\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 19*w - 279. Let v(b) be the second derivative of 1\/6*b**4 + w*b + 0*b**3 + 0 + 0*b**2. Let g(l) = 9*l. Determine g(v(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 8745. Let r(u) = -378*u + 6. What is b(r(t))?\nAnswer: -756*t - 8733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1403, -1396, -1385, -1370, -1351, -1328?\n\"Answer: 2*k**2 + k - 1406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 35, 228, 1, 5, -38 in descending order.\nAnswer: 228, 35, 5, 1, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 5*t + a, -3*t + 34125*a - 34122*a = 120 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 3\/5, 0, 7, 1.28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -37*b + 5. Let y be n(-5). Suppose -x = -6*x + y. What is the remainder when x is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 21\/2. Sort x, -2\/39, 0.2.\nAnswer: -2\/39, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = -15. Let b = 29 + -15. Is j bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.55 - 2.1. Let g = 314 + -315.45. Let u = g - f. Round u to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3265 - -3263. Let x = 3.1 + -0.1. Let k be (3\/(-9))\/((-5)\/6). What is the nearest to -0.04 in j, k, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 479238738 rounded to the nearest 100000?\nAnswer: 479200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 2.53488.\nAnswer: 2.73488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-25)\/50)\/((-3)\/(-6)). List the prime factors of (-4712)\/(-16) + (-4)\/8 - v.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3\/67 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3850233?\nAnswer: 3, 673, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/5 of a litre in millilitres?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - n**2 + 8*n - 6. Let d(b) = 7*b + 1 + 7*b + b**2 - 23*b + 6 + b**3. Let x be -8 - (-1*2 - -1). Determine x*a(m) - 6*d(m).\nAnswer: m**3 + m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 - 41. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s - 3*s - 3*s)*(8*s**3 + s**3 - 5*s**3 + (5*s**2 - 4*s**3 - 5*s**2)*(4 - 4 - 3) - s**3 + 4*s**3 - 3*s - s**3).\nAnswer: 36*s**4 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -2)\/((-2)\/10). Solve -2*p = 3*p - l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1594*c**3*m**3 - 69*c**3*m + 1028*c**2*m**6 + 2234*c**2*m**2 wrt m?\nAnswer: -9564*c**3 + 123360*c**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b + 3 - 6*b - 29*b.\nAnswer: -9*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-3)\/(-18)*42\/(-168)*-4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 334, 4, -4, 3595, -1, 0 in decreasing order.\nAnswer: 3595, 334, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -18, 23, 3, -132 in decreasing order.\nAnswer: 23, 6, 3, -18, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.4 (b) 47\/4 (c) -0.033\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/(-60) - 18\/(-5). Let v(w) = w - 1. Let t be v(4). Let y(s) = t + 3*s - 6*s + 4*s. Let b(u) = -u**2 + u + 4. What is a*y(l) - 2*b(l)?\nAnswer: 2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/20 (b) -2.7 (c) 0 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 954567*f**2. Let m(r) = -10*r**2. What is m(u(k))?\nAnswer: -9111981574890*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255 - -258. Suppose -4*v + 19 + 26 = m*s, 0 = -v - 3. What is the greatest common divisor of s and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 35, 115, 269, 521, 895, 1415, 2105?\n\"Answer: 4*m**3 + m**2 - m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48789400 and 8800.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 70*f**2 - 71*f. Let u(v) = 143*v**2 - 143*v. Let n(k) = -5*t(k) + 3*u(k). Find the second derivative of n(d) wrt d.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of -s**3 - 29*s**2\/2 + 10*s - 16. Factor t(a).\nAnswer: -(a + 10)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 55 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x - 24. Is f(-12) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 - 4. What is s(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126894 and -0.03.\nAnswer: -3806.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 4*z - 33, -9*z - 15 = 5*l - 4*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 a factor of 11839413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 196069 times -3\nAnswer: -588207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550099?\nAnswer: 11, 43, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 324*p**5 + 6*p**4*v**2 + 14*p**2*v**2 + 82*p**2*v + 9*v**2 wrt p?\nAnswer: 19440*p**2 + 144*p*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 316411 a multiple of 2967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46943160 and 769560?\nAnswer: 46943160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, i: 12}. Give prob of sequence iei.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 674.15633 minus 7?\nAnswer: 667.15633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z. Let i(r) be the second derivative of r**4\/8 - 157*r**2\/2 + 89*r. Let f(n) be the first derivative of i(n). Give y(f(d)).\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -24139 (b) 11 (c) -0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8366\/4 + (-495)\/(-110). Suppose 2*d - 2092 = -p, 2*p - h = d - 3*d. List the prime factors of d.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-6 - -2) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 28*j**2 + 582*j - 154. Give s(-21).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 19 = -11. What is the greatest common factor of m and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-36)\/4*(5 - (-16)\/(-3)). Let l(p) = -535 + 535 - h*p. What is l(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - -2) + 40 + 31 + -50 + 17.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 8\/3 + 13\/39. Let a(n) be the second derivative of 0 - 1\/6*n**3 + 5*n + 2*n**2. Let f(i) = -i. Give j*f(h) + a(h).\nAnswer: -2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -156 in -24, 3\/7, 0.3, 0.4?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:27 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Suppose 0 = k*v + v - 60. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1. Let y = -1.69 - -3.19. Let c = l - y. Sort c, -0.2, 0.07 in ascending order.\nAnswer: c, -0.2, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111400 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9918\/(-319))\/(-57))\/(6\/9)?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f + 43*f + 2527 = 31*f - 46*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 8225, -11, 1, 7, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 3 - 4)*(-g - g**3 + g) + (7*g**2 - 2*g**2 - g**2)*(g + 2 - 2).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 5. Let t = 0.44 - 2.44. What is the second smallest value in 3\/7, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 314184 and 60?\nAnswer: 1570920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) -0.2 (c) 1 (d) 0.1 (e) -34 (f) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 657664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:29 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12032 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a + 219 = 13*a - 189. Let p = -4\/3 - -1. Suppose -5*w = 5*c - 10, 3*c - 5*c - 3*w + 6 = 0. What is the nearest to c in 4, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -20. Solve h - q = 6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 12*q - 267, -772*x - 16 = -772*x - 4*q + 76 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7197 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 338?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(28)\/(-1*2*sqrt(2)))\/((-1*sqrt(112)\/sqrt(4) - sqrt(28))\/sqrt(4)) + -3)*-1.\nAnswer: -sqrt(2)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 12633?\nAnswer: -12632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/15 + (-6)\/(-9). Suppose -b = -s + 2 + x, s + 5*b = -18. Find the second derivative of 8*o + 19*o - o**s + 0*o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8623?\nAnswer: 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000604036119 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 3366*m**2 + 1649*m**2 - 4*m**3 + 1635*m**2 to d*m + o*m**2 + p + f*m**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 185. Let g be 4\/(4\/(2 + 0)). Suppose -f + 3*m = g, -4*f + 7*f - 34 = m. Calculate the remainder when o is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.337, -1\/42, 14?\nAnswer: -0.337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 + 18\/(-14). Let s be (1\/20)\/(39\/(-4) - (-26 + 10)). Are k and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.02851 kilometers in centimeters?\nAnswer: 1002851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5921470 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 370 + -264. Is p a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**2 + 56*h - 37. Let t = 44928 - 44919. What is q(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 44\/3*(-33)\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osso. Give prob of sequence so.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9126 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 z = -16 + 138. Let m = 126 - z. Solve -m*k = -7 - 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104\/5*g + 52\/5*g**2 + 32\/5 - 4*g**3.\nAnswer: -4*(g - 4)*(g + 1)*(5*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 6 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 626, 613, 584, 533, 454, 341, 188?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/(-14) + 6 - (-61)\/(-38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117) + (1*(sqrt(117) + (-1*sqrt(117) - sqrt(117)) + sqrt(117))**2 - sqrt(117)) + ((-1 + sqrt(117) - sqrt(117)) + sqrt(117))**2 + 3 + -3.\nAnswer: -6*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 44, 104, 168, 236?\n\"Answer: 2*p**2 + 54*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(((-41)\/(-615))\/((-14)\/5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2 + 11570*n - 174675 = 0.\nAnswer: -2329, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 52831?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -13. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - o = -570, 0*w = -3*w - o + 342. Suppose 0 = 8*n - 10*n + 102. Suppose -n = -5*v + w. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101011010011000100110 (base 2) to base 4.\nAnswer: 111122120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13664?\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5917613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f + 418323 = 2*f - 8742977. Round f to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n + 10. Let d be q(-7). Let t = 40 - 38. Factor 5*x**2 - t*x**3 - 2*x**3 + 0*x**d + x**4 - 2*x.\nAnswer: x*(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 162*b**3 - 15*b - 1 wrt b.\nAnswer: 972*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -43428 != -173715\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4274054811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 209*m**4\/4 - m**3\/3 - 38*m**2 - 190. What is the third derivative of a(q) wrt q?\nAnswer: 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1611 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j, -8*j - 43696 = 2*p - 7*j. What is p rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-655)\/(0 - 5) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 188*b - 80. Let u(j) = -185*j + 79. Suppose 9*w - 11*w - 10 = 0. Let t(a) = w*u(a) - 6*q(a). What is the first derivative of t(v) wrt v?\nAnswer: -203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6.6. Let p = j - -1. Let o = p + -0.8. Which is the closest to 0? (a) -2 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 + 343*z**2\/3 + 790*z\/3 + 176\/3.\nAnswer: -(z - 88)*(z + 2)*(4*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*c = 6240 - 660 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:39 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*i - 40*c + 42*c, -3*i = -5*c - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2427*c - 1225*c - 1296*c - 89 wrt c?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13766*o + 13815. What is y(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6. Let j = 8 - a. What is the third derivative of 8 + j*p**2 - 8 + 2*p**4 wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - 137*q**2 + 2*q**3 + 5*q**2.\nAnswer: 2*q**3 - 118*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152271834 to the nearest integer?\nAnswer: 12340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -7*t**3\/3 + 9*t**2\/2 - 8*t - 5. Let u(y) = -20*y**2 + 26*y - 23. Let k(z) = -17*m(z) + 6*u(z). Find n, given that k(n) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.93 in 22\/5, -1\/6, 3, -1, -3, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916295 divided by 77.\nAnswer: 916295\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 - 10.7?\nAnswer: 554.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100812257.1 - -100812141.1000058. Let y = z + 116. What is y rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1794 and 7774?\nAnswer: 23322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.036 - -280.036. Let g = 281 - z. Which is the smallest value? (a) 3 (b) g (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2450 - 2424. Let i = 137 + -59. What is the highest common divisor of x and i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 15 = -8*w. Let o be w*(-110)\/4*4\/25. Suppose o*m - 81 = 19*m. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 + 10*y - 13)*(-3*y - 2*y + 7*y) + 2 + 2*y**2 + y - 5 + 5 in the form u*y**2 + h + o*y and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 2 + 3*y**3 + 0*y**3 as j*y**2 + m + o*y + c*y**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 119. Which is smaller: t or -4\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -2\/21, -1\/9, 0.01?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2713955 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4120 and 45\/56.\nAnswer: 28840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40527203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 3*a - 5. Let l be o(-7). Let f = l + 36. Let n = f + -39. Calculate the lowest common multiple of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 237 + -31471.60896\nAnswer: -31234.60896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 13*l**4\/24 - 2*l**3\/3 + l**2. Suppose -13*i + 76 - 11 = 0. List the prime factors of v(i).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 times 6.6547?\nAnswer: 6461.7137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1232785*r**4*z**2 - 4*r**4*z + 47869*r**2*z**2 - 40*r**2*z - z**2 wrt r?\nAnswer: -29586840*r*z**2 - 96*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i - 0*i. Differentiate -4*l**3 + 2*l**3 - 2 + 2*l**i + l**4 with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1030, -1975, -2920?\nAnswer: -3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Suppose -4*n = -0 - 8. Let h be ((-1)\/2)\/(1\/n). Let r = -175228 + 7885264\/45. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36345 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -31*(-2)\/(-4)*2. Let w = 4 - x. What is the remainder when w is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 42, 1\/3, -345?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 <= 1664820309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*u - 3 = 48*u. What is the remainder when 10 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (308 - 6*b - 308)*(-5*b + 4*b + 0 - 2) to the form r + q*b + x*b**2 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, o: 4, z: 9}. What is prob of picking 3 z and 1 o?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Let w be ((-15)\/9 + 2)*d. Suppose 8*a = 9 - w. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1038 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000502 to seven dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57929210 or 57929211?\nAnswer: 57929210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((-130)\/39).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 5*c - 38 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 12 = 4*c, 2*g - 3*c - 15 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 2) + (-2 - 35). What are the prime factors of i*((-15)\/(-10) + -3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/18*60\/150\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeee when four letters picked without replacement from ezee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7.3. Let g = 0.1 + -0.3. Let u = t + g. Put 3, u, 5 in increasing order.\nAnswer: u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29 and 10642.\nAnswer: 308618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 2*b + 1. Let u(t) = -4*t**2 - 8*t - 6. Determine -5*s(m) - u(m).\nAnswer: -m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a07 + a23?\nAnswer: -2ba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235 by -235.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61.00000097 + -61. What is r rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 3*k**2 + 2*k**2 + k. Let y(z) be the third derivative of 7*z**5\/60 - z**2 - 9*z. Determine j(y(w)).\nAnswer: -49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 26 - 23. Suppose -2*l = l - n. Suppose 0 = f + l - 6, h - 2*f + 320010 = 0. What is h rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 0*s + 2*s)*(3*s**3 - 6*s**3 + s**3) + 9*s**4 - 10*s**4 - 2*s**4 - 5*s - 2*s**4 + 5*s to v*s**4 + k*s + y*s**3 + a + j*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -1 - -3 - -6. Suppose -4*p + 5*m - 8 = 0, 4*m + 2 = 2*p + a. Let z be 12000\/(p*1\/(-250)). What is z rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 19*m - 857. Give u(46).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10 + 7)\/(6\/(-8)). Suppose -5 = 2*o - 3*z, -19 + x = -4*o + z. What is the smallest value in o, 3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h - 93 = -33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1254106942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 101*b + 2100. List the prime factors of q(14).\nAnswer: 2, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -9*l**3\/2 - l**2\/2 - 61*l + 1. Let p(k) = k**2. Determine p(m(r)).\nAnswer: 729*r**2 + 54*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/(((r*r*r**(-1\/8))\/r)\/r)*r))\/(r\/(r*r\/(r\/r**(4\/7))))*(r**(1\/2))**(-8))**(-2\/107) assuming r is positive.\nAnswer: r**(311\/2996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -4\/31819967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737556 is divided by 151.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 991060*i**3 + 17062*i - 187 wrt i?\nAnswer: 5946360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/(3\/(-48)*38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153454, -153448, -153440, -153430, -153418, -153404?\nAnswer: -153388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -42*c**3 - 106*c**2 + 431*c - 4. Let a be n(4). Is -2663 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g + 33. Let y(a) = -2*a + 11. What is -4*i(f) + 11*y(f)?\nAnswer: -2*f - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 - 4*x**2 + 3*x + 5. Let f(r) = -4*r**3 + 6*r**2 - 4*r - 7. Let p = -11 + 16. Let y(d) = p*f(d) + 7*t(d). Give y(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + 3.7. Let m = x - 0. Let f = -1.05 - -0.05. Put 1, m, f in decreasing order.\nAnswer: m, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18225973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nutu when four letters picked without replacement from {u: 5, z: 1, o: 4, n: 2, s: 3, t: 5}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570166 is divided by 1084.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/5, -2\/9, -0.2, -5, 44033?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5057*k + 5078*k - 273 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -278 + 287. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*10\/5*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -4*o - 2*o. Let l(a) be the third derivative of -1\/90*a**5 + a**2 + 0 + 0*a**3 + 1\/315*a**7 + o*a**4 + 0*a + 0*a**6. Let l(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -12 (c) 22 (d) 4 (e) -4 (f) 54\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + r - 103, 0*b = 3*b - 5*r - 148. Let t = b - 52. Let q(s) = 97*s**2 - 4*s - 2. Is 6 a factor of q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 1. Let p(l) = 2*l**3 + 8*l**2 + 8. Let r(c) = 5*c - 48. Let m be r(9). Calculate m*p(t) + 24*u(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*x**2 + 640*x**2 + 663*x**2 + 635*x**2.\nAnswer: 1646*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -2*f - 23. Let u = f - -33. Which is smaller: 16 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/12 and 33\/459 + (0 - 0)?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 + 10 = 0, -4*z = -3*j - 25. Calculate the remainder when 1603\/15 + (14\/j)\/(-7) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 1, d: 2}. What is prob of sequence kdd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (450 - 3027 - 423)*(-g + 3*g - 4*g).\nAnswer: 6000*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, -501, -952, -1301, -1506?\n\"Answer: 7*i**3 - 12*i**2 - 524*i + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14266362 divided by -7133181.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + x + 73 = 309, -3*x + 12 = 0. Let o be (-3)\/(-9) + 47\/3. Suppose o - s = -2*i. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*f**2 - 38*f**2 + 0*f + 3*f**3 + 3*f to v + b*f**3 + u*f**2 + d*f and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2904 = -2*c + 68*c. Calculate the greatest common divisor of 374 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308217400 a multiple of 7400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-444)\/(-272) - (-18)\/153.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2. Let g = -31 + 33. Let h(o) be the first derivative of -110 - 2*o**g + 121 + o**2 - o**2. Give h(k(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12469, 12490, 12521, 12562?\n\"Answer: 5*u**2 + 6*u + 12458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1692 and 10?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -446 - -312. Let m = -43 - u. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(-1\/88)*t**(-4)*t**(7\/5))\/((t**(2\/7)*t)**(-45))**(-18) assuming t is positive.\nAnswer: t**(-3215573\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 32. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l**3 + 5*l**2 + 2. Let n(o) = -1000*o**3 + 2956*o**3 - 987*o**3 + 11*o**2 + 4 - 986*o**3. Calculate -4*n(y) + 9*x(y).\nAnswer: -4*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 5, -23 in increasing order.\nAnswer: -80, -23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 2:13 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/154?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 3. Suppose 2*r = -5*y, y + y - 21 = -5*r. Determine m(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 65 - 25. Suppose -5*o = -5*v - 8*o + 350, 0 = 5*v - i*o - 310. Which is smaller: v or 69?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000456 plus -23738?\nAnswer: -2024194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n + 2. Suppose -34*b + 35 = 3*p - 33*b, -16 = 4*b. Calculate the remainder when m(3) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 706839 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 10 - 3 + 30*j)*(6 - 5 + 0)*(-1 + 0 + 0)*(-4 - 3 - 1).\nAnswer: 240*j - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*h + 12, 0 = z - 5*h + 3*h - 3. Suppose -5*k + z*i + 104 = 0, 0 = -3*k + 2*i - 0*i + 62. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3 + 4 - 2*j - 4 - 6. Let l(r) = 2*r + 2. Determine -4*d(p) - 6*l(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 216091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)*z)\/((z\/z**8)\/z)*(z*z**2*z)**(3\/20)*z**7\/z**(3\/4)*z**(1\/2)*z**(2\/11) assuming z is positive.\nAnswer: z**(1791\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let x(l) = -9031*l. What is a(x(q))?\nAnswer: -163117922*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -886, 9600 in decreasing order.\nAnswer: 9600, -3\/10, -886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 30*s - 118. Give b(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-84 - -84) + -58 + 5 + -18\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2*m**3 + 8 + 2 - m + 2*m**2 + m**3 to the form i*m**3 + x*m**2 + w*m + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:33 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 603.735 - 602. Let f = 0.265 + y. What is the smallest value in f, 0.4, 10.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18, -8, 1515, 1\/7?\nAnswer: 1515","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-1))\/(-3 - (-22)\/6). Let v be (-2 + (-5)\/g)\/(2\/6). Put -2, v, -36 in ascending order.\nAnswer: -36, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/33, 17, 1, -0.3, 0.5 in decreasing order.\nAnswer: 17, 1, 0.5, -2\/33, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.5? (a) -1\/4 (b) 4 (c) 155 (d) 1\/13 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.274 - -0.226. Which is the second smallest value? (a) -3\/2 (b) -0.141 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -3, -0.12, -5, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16914 and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 15) to base 5\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 275699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 609 and 30?\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-21) - 74220\/(-21). Suppose 0 = 4*k + 20, 2*k + 18446 = 2*n + m. Let d = n - 327809\/44. Find the common denominator of d and 43\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235429 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611923064 + 0.61.\nAnswer: -611923063.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*o**3*p**3 + b*o**3*p**2*t + b*o**2*p**2 - 17*b*o*p**3*t + 5*b*p**2*t - p**3*t wrt p.\nAnswer: 6*b*o**3 - 102*b*o*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 6) + -2 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4800437729 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/9 + 43658*y**3\/3 + 6682327*y**2\/9 - 2271100*y\/3 = 0. What is y?\nAnswer: -52, 0, 1, 131025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 18 (c) -58 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830319572.\nAnswer: 2, 3, 29, 1249, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -187?\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204849129?\nAnswer: 3, 71, 961733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 5*p - 15060 + 15060. Let j(l) = 60*l**2. Give j(i(z)).\nAnswer: 4860*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 235046*l - 705120.\nAnswer: -2*(l - 117520)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359862 divided by 76?\nAnswer: 179931\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5845 (base 11) in base 9?\nAnswer: -254322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13803 + -13796. Let a(r) = 5*r - 7. Let f(l) = 2*l - 4. Calculate n*f(d) - 3*a(d).\nAnswer: -d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*y - 5)*(1 + 0 + 13) + 6*y + 4*y - 4*y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1776 + -940. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kky. Give prob of picking 2 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 15*o + 7. Let j(l) = -l**2 + 8*l - 4. Calculate -11*j(y) - 6*u(y).\nAnswer: 5*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4196156361 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22284 - -102085. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 5:54 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 48. Suppose -q + 3*q - s = 0. Let m be q\/(-16)*(-4)\/6. What is the greatest common factor of m and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 43680921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -163 and -23944?\nAnswer: 3902872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.094487.\nAnswer: -0.377948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 36.9. What is the biggest value in 0.4, -0.3, j, 1\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**3*t**5 + 5*r**3*t**2 - r**3 - r*t**3 + 502*t wrt t?\nAnswer: 60*r**3*t**3 + 10*r**3 - 6*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 - 3*n**2 - 2*n + 8. Let d(t) = -7*t**3 - 5*t**2 - 3*t + 16. What is 3*d(w) - 5*g(w)?\nAnswer: -w**3 + w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (95 - 78) + (21 - (-21 - -30))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -139 + -51. Let c = -169 - j. Calculate the lowest common multiple of 24 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p - 148*p - 822 = 2922 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244527013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from qqqqtlttlqqtqqqt?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 308031 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbxukozb. Give prob of sequence xub.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 31*o**2 + 48*o\/7 - 4\/7 = 0. What is o?\nAnswer: -2\/7, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/16 - 1\/16. Let r = 6 - 10. What is the second smallest value in w, r, 0.7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (18 - 42)) + 30 - -11?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.4. Let i = 0.5 - 0.7. Sort -2\/17, i, c.\nAnswer: i, -2\/17, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1360)\/1288 + 2\/(-23))*441\/(-42).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.02782 years in decades?\nAnswer: 7.902782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1968 and 124035168?\nAnswer: 124035168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.25443 times 4?\nAnswer: -37.01772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 781379626 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 2*z**2 + 0*z**2 + 70*z**4 - 56*z**4 - 2*z + 2*z**3 to p + y*z**3 + i*z**4 + m*z**2 + t*z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1240.931 - 1289. Let n = b - -48. Round n to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8952 = 7*z - 3*z. Suppose 0 = -20*s + 26*s - z. Suppose 2*j - 150 = l, 0 = -2*j + 7*j - 2*l - s. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20*z + 1. What is f(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -1340?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2193263650?\nAnswer: 2, 5, 43865273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11043 + 10?\nAnswer: -11033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(396\/1184) + -10 + 1)*-6. Factor -24\/11*h + 0 - 26\/11*h**2 - b*h**3.\nAnswer: -2*h*(h + 1)*(h + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*s = -4153, 0 = 4*o - 2*s + 5*s - 3317. Let w = o - 351. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*c - 3, 0 = 4*n - 2*c + 82 - 16. Suppose 0 = -2*l + 4*l + 8. Does 36 divide ((-108)\/n)\/(l\/(-60))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 66 - 66 - v. Let c(z) = z**3 - 9*z**2 + 12*z - 7. Let u(r) = -c(r) - 5*j(r). What are the prime factors of u(6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -26*z - 62. Calculate the remainder when f(-5) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 48 = -7*a - 2*s, 0 = -3*a + 5*s - 10. Let k(z) = -3*z - 25. What is k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*f**5 + 1792*f**4 - 6648*f**3 + 7072*f**2 - 2428*f = 0. What is f?\nAnswer: -607\/53, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/2, -4\/13, -6\/11, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 12. Solve -4*v = 3*n - c, 2*v + v + 13 = 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n - 80 + 101. What is the derivative of -75*t**n + 33 + 23 - 2 + 19 wrt t?\nAnswer: -225*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571495549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.014 * 5.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1560)\/(-48)*(-4)\/5. Let k(x) = 2*x**3 + 54*x**2 + 51*x - 3. What is the remainder when 109 is divided by k(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*m = -62, -2*n = -0*m - 4*m - 36. Calculate the least common multiple of 6 and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*x + 365, c + 2*x - 90 = 96. Suppose -4*f + 0*z = -4*z - c, 4*f + z - 159 = 0. Let p = -29 + f. What is the least common multiple of 20 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49210 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17239.20272 - -17240. Round u to two dps.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222100 + 10?\nAnswer: 20222110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c + 0*c**3 + 0*c**2 + 1\/36*c**4 + 39. Suppose f(q) = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**3 + 4*p**3 + 11*p**3 + (0*p**3 - p**3 + 2*p**3)*(2 - 3 - 1).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730728760?\nAnswer: 2, 5, 61, 299479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16 - 25\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156258 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 12:05 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 56. Let w(l) be the third derivative of -7\/600*l**z + 0*l**3 + 1\/60*l**4 + 0*l + 0 - 1\/60*l**5 - l**2. Factor w(t).\nAnswer: -t*(t + 1)*(7*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/367 - 1126\/9175. What is the third biggest value in k, 1\/8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12\/1 - 649\/59*2204\/836.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2*sqrt(27))*6*4)**2 + (sqrt(27) + sqrt(162)\/sqrt(6)*-5)\/(2*sqrt(1296) + sqrt(1296)).\nAnswer: 124415*sqrt(3)\/9 + 64512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) 2\/1449033 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 6*a + 3*a)*(0*a**4 + 3*a**4 - 2*a**4) - 2*a**5 + 0*a**5 + 3*a**5 + 17077*a**2 - 17077*a**2 - 213*a**5 + (2*a**3 + a**2 - a**2)*(1 + 2*a**2 - 1).\nAnswer: -199*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 12, -q + 5*b - 10 = 1. What is the highest common divisor of q and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - 3521*a**3 + 16*a + 4567*a**3.\nAnswer: 1046*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 2. Let z be o(3). What is the second biggest value in z, 11, -1.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/13879 - 1901411\/83274. What is the common denominator of z and (-14)\/16 + 2\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-50324)\/(-184))\/(1\/46) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449518353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 0.8, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11979.0171 - -11980. What is j rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*y = -2, 3*l - 5*y + 8*y = 6. Let t(b) = -52*b**l - 45*b**2 - 15 - 45*b**2 + 188*b**2 - 44*b**2. Let m(u) = u. Give t(m(q)).\nAnswer: 2*q**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 + -2 + 1 - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {d: 1, j: 1, k: 1, m: 1, s: 2, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4601*q - 1444*q + 0 - 5420*q + 2.\nAnswer: -11465*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6722182522 to the power of 1\/2, to the nearest integer?\nAnswer: 81989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3 - 1. Let n = m + 6. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 36 - 36)*(-2*m + 2*m + m) + 3*m**3 - 4*m**3 + 0*m**3 + (0*m + 2*m**2 + 0*m)*(2*m + m - m) - 4*m**3 + 2*m**3 - 10*m**3.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -150131?\nAnswer: -150125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2. Let t be 1\/(3*3\/27). Let d(u) = 22*u**2 + 1 - 11*u**2 + 2. Let b(i) = i**2 + 1. Let k(h) = t*b(h) - d(h). Give k(g(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 22. Let r be v(10). Suppose -r*y = -10*y - 8. Suppose h + 27 = -5*o - 22, 3*h + 185 = y*o. What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7613 - 165730?\nAnswer: -165733.7613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 374 * -1900\nAnswer: -710600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/13))**(-24)\/(m\/(m*m**10)*(m\/((m*(m**(-8)*m)\/m)\/m))\/m) assuming m is positive.\nAnswer: m**(-334\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, t: 3, b: 5}. Give prob of picking 1 b, 1 t, and 1 o.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -19\/3 (c) 1\/2 (d) -0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -24. Let b(s) = 87 - 88 + a*s + 3*s - 4*s. Determine b(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -951*0.2\nAnswer: -190.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -36. Let s = 21.1 + v. Let p = s + -4. What is the smallest value in p, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -300 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.3. Let l = 30 + -61\/2. Which is the closest to l? (a) q (b) 5 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1164\/32 + (-3)\/8. What is the greatest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*o - 168 = 55, 5*o + 2601 = m + 2384 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -352025 (base 7) in base 8?\nAnswer: -173233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (6\/(-1))\/3. Suppose 73 = 3*s - y*n, 3*s + s + 2*n - 74 = 0. Let r = s - 16. Solve -3*o - 1 = r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102.03 + 94.39. Which is smaller: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 + 180*a**2 - 2*a - 117. Calculate c(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - w - 2*w + 4*w - w + (2 - 5 + 1)*(-2*w + w - w) - 5*w - 3 - 24*w + 3 - 1.\nAnswer: -25*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.2174 and 2.\nAnswer: 18.4348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 10*p**3 - 3*p**2 - p + 218. What are the prime factors of s(-4)?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 divided by -5?\nAnswer: 267\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.5, 0.3, 1 in ascending order.\nAnswer: -0.5, 2\/17, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 4*h - 6*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 16*p**2 - p + 24. Let o be s(16). What is the tens digit of ((-22)\/2)\/((-2)\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 434\/(-2028) + (-11 - (-268)\/24). Is h bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 138 = -3*c - 4*g, 12549 - 12371 = 3*c - 5*g for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1190)\/30 + (-3)\/9. Let v = -37 - x. What is the least common multiple of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 3, 0.4, -1, 5 in ascending order.\nAnswer: -1, -0.09, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-63))\/((-1149)\/(-6894)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by 4427\nAnswer: -51\/4427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3075482073?\nAnswer: 3, 1025160691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 4:50 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 7. Let z(i) = -i + 3. Let n(o) = -2*u(o) + 5*z(o). Let k be n(1). Factor b**3 - 5*b**2 - b + 5*b**k.\nAnswer: b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 5*p**2 + p + 5. Let l be s(-5). Suppose -3*w - 3*k - 2 - 7 = 0, l = 2*w - k + 6. What are the prime factors of (-188 + -4)\/(-3) + w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1258 - 1100?\nAnswer: -2358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {m: 1, w: 4, k: 2, y: 4, a: 1, r: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-10)\/(-35) + 38\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 65104797 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + -9 + 1078\/(-360). Let m(t) be the third derivative of 0 + 0*t + c*t**5 + t**2 + 1\/9*t**3 + 1\/24*t**4. Factor m(i).\nAnswer: (i + 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(99) - (sqrt(22) - sqrt(66)\/sqrt(3))\/sqrt(2).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16 = 5*h - 40, -h = 2*c + 167. Let g = -43 - c. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -3, -135, 0, -1.\nAnswer: -135, -3, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/(-45)*(-20)\/(-8))\/((-31)\/(-93))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2731536029 to the nearest 100000.\nAnswer: 2731500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 157 - (33 + -80)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.36669 and -5.\nAnswer: -1.83345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -12676642.\nAnswer: -1\/12676642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 656.294g?\nAnswer: 656294000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2129 or 476?\nAnswer: 2129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m - 21 + 21.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*n = -5*a + 12, -15 = 5*n. Suppose -4*q - a = -3*q. Let x be 2\/q - (-48802)\/8. What is x rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Let i = -3 + 2. Let q(d) = -d**2 - 11*d + 62. Let p be q(-15). Sort g, i, p in descending order.\nAnswer: p, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 656\/9 - 73. Let r = -418 + 422. Sort j, 3, r in increasing order.\nAnswer: j, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143 - 73717*a - 37653*a + 143.\nAnswer: -111370*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5455 + -5443. Solve -16*u = w*u - 168 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, -4, -53126, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2d31 (base 14) to base 5\nAnswer: -224304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 5}. What is prob of picking 3 r?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = 3*t + 17, -2*t - 10 = -2*w. Suppose -5*c + w*v = -63 - 2, 4*c - 2*v = 52. Suppose -p + c = -9. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 42255, 2.\nAnswer: -30, 2, 42255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c**2*y**3 - 5*c**2*y + 42343*c*y**3 - 7*c - y**2 + 1 wrt y.\nAnswer: -24*c**2 + 254058*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*h + 3*c + 4, -h = c + 2. Let x be h*3\/9 + 5. Solve -4*t + 20 = x*o - 2*t, 2*t - 12 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 796004 and 1832?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -181315, -362742, -544169, -725596, -907023, -1088450?\n\"Answer: -181427*n + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/(-209)*(-44)\/(-64).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57, 212, 377, 558, 761, 992, 1257, 1562?\n\"Answer: w**3 - w**2 + 151*w - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*n + 5. Suppose n = -4*b, -199 - 696 = 3*t + 5*b. Let z = t - -2618\/9. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4858*r - 2885*r + 1061*r in the form b + v*r and give v.\nAnswer: 3034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - 5*b + 4. Let o be h(-4). Suppose -2*r + o = -3*r. Let f = 21 + r. What is the remainder when 36 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 242941?\nAnswer: 242941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 156*(15\/2)\/5. Does 17 divide 2*-1 + v\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -2 - -1) + 4 + -5 - 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -537, -202, 247, 816, 1511, 2338?\n\"Answer: t**3 + 51*t**2 + 175*t - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -130*d**2 + 0*d + 16 + 16*d + 129*d**2. Let h be m(17). Sort h, 1, -2.\nAnswer: -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 128\/(-24)*5\/(-60). Let a(l) be the first derivative of -p*l**3 + 0*l - 2\/3*l**2 + 8. Factor a(d).\nAnswer: -4*d*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*x + 10*x. Let c be (1 - (-3)\/9)\/(x\/135). Suppose -2*h + p = -12, -c = -3*h + 3*p - 6*p. 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: Calculate the remainder when 96023 is divided by 82.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/15, 3, 3972?\nAnswer: 3972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/12 - 21*i. Let o(p) be the third derivative of -7*p**5\/20 - 5*p**2. Calculate o(z(c)).\nAnswer: -21*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o**3 - 22*o**3 - 14*o**3)*(-2*o + o - 10756*o**2 + 10839*o**2).\nAnswer: -2324*o**5 + 28*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942844?\nAnswer: 2, 7, 151, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -242.3 or 1?\nAnswer: -242.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 30662, 245284, 827828, 1962254, 3832522?\n\"Answer: 30660*z**3 + z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrdo when four letters picked without replacement from {j: 13, o: 3, r: 2, d: 1, m: 1}?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*s - 2, 5 + 3 = 2*s - 4*k + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(1288\/28*-2)?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -38*f + 74. Let a(q) = 35*q - 72. Give -5*a(p) - 4*m(p).\nAnswer: -23*p + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 3 (c) 1 (d) -209731\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 3:18 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 = a - 19. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 785*r + 8318 - 33926 = 363*r - 354*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1925213399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5540 - 3921. Let f = i + -872. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*l - 3773, -2*t + l = 2 - 2522. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (1 - 15) + 3. Let z = h + 15. Suppose -z*v - 4 = n - 2*v, 0 = n - 5*v - 10. Sort -2, -3, n in descending order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*n + 4*x, 3*x = -3*n - 2*n + 12. Let h(c) = 22*c**2 + 11*c - 31. What is the tens digit of h(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 2*m + 5*r - 163, -4*m + 341 = -5*r. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638 < 5639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165.5698mm to kilometers.\nAnswer: 0.0001655698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/42 and -61\/35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from gjgjjggggg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*a**2 - 160\/3 + 26*a.\nAnswer: (a - 2)*(a + 80)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Suppose 0 = q + 5, -n - 4*q + 5 = 16. Suppose 5*d = n + 6. Solve -d - 5 = i*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -279 + -2?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 226, 167, 96, 7, -106, -249?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**4\/8 + 2*o**3\/3 + 3*o**2\/4 - 82. Let t(b) = 0. What is b?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 8*n**2 - 8*n - 9. Calculate the remainder when x(-6) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4928 is divided by 669.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 161967 from -1819212.\nAnswer: -1981179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 0. Let n = -11 - -6. Let o = m + n. What is the nearest to 0.1 in o, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140436.66613 + 270.05313. Let d = -140251 - h. Let u = 85 + d. What is u rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 139*k**4\/3 + 281056*k**3\/3 - 1130083*k**2\/3 + 861044*k\/3 - 4052 = 0.\nAnswer: -2026, 2\/139, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2759 and 0.4.\nAnswer: -0.11036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1099740 and 1180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 - 20*x - 7. What is i(7)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 12 + 4. Suppose -a*f = -0*f + 84. Let s = 35 + f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by 31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*s + 7 = 0, -i - 3*s = 3*i + 25. Put 5, -2, i, 3 in descending order.\nAnswer: 5, 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7978129*v**2 - 17019*v + 17019. Let s(w) = 1875*w**2 + 4*w - 4. Calculate 4*n(l) + 17019*s(l).\nAnswer: -1891*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-1\/24)*n*(n*n**(-2\/3))\/n*(n**2)**(-16) assuming n is positive.\nAnswer: n**(-737\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*v + 69, -2*v - 5*s + 4 = -35. Calculate the remainder when (4 - -4)*-3*v\/(-12) is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 4*o. Let m = -11 - o. What are the prime factors of -4*(-1 + 82\/m)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by -54.\nAnswer: -25\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11 (b) 1\/9 (c) -1 (d) 0.31 (e) 2 (f) 921\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.102 - 0.198. What is the third smallest value in -1, -1\/5, -1\/7, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, l: 2, g: 2}. What is prob of picking 3 v and 1 g?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 3 - 3)*(-s - 6*s - s) + 0*s - s**2 + 0*s.\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*467320\/(-53408)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose 6*d - 84 + 36 = w. What is the first derivative of 16 + d*g**4 - 4 + 2*g**4 - 5 wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghs when three letters picked without replacement from sqgcqhsssgqgqshssss?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 358 and 715472129.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11\/445 (b) 604 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + ((41 - 12) + -4 - 11). Solve -29 = 6*r - l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.8 - -25. What is the nearest to 0 in 17, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*z - 128, 2*p - 65 = -0*p + 3*z. Suppose p*r - 50 = 23*r. Solve -3*o = 2*o + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 892075501 less than -667215?\nAnswer: -892742716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -9 - -1)*(6825\/234 - 6\/36).\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1570*g - 359 + 2299 = 15409 + 14791 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.02 (b) -2\/3 (c) -166\/187 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -34. Suppose -3*i - s = -19. Suppose 13 = 5*d - 7, 0 = -l + 2*d + 8. Calculate the least common multiple of i and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-25) - (-6306)\/10. Suppose 50*f - 4*p - 1276 = 48*f, -f - 5*p + h = 0. List the prime factors of f.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 2:32 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330399.\nAnswer: 7, 19, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/13)\/(g**(-5\/16)\/g))**(-50) assuming g is positive.\nAnswer: g**(-7625\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835371121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -18*r**2. Let a(d) = -13*d**2 + 8*d - 12. Let s(w) = -12*w**2 + 6*w - 9. Let t(g) = 3*a(g) - 4*s(g). What is -4*h(x) - 9*t(x)?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnn. What is prob of picking 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 151 - 1184 = -c, 3*l = 4*c - 5409. Suppose -c = 6*m - 11*m. What is the highest common factor of 54 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 5 + 3*k**3 + 2*k - 5*k + 5 - 3*k**2.\nAnswer: 3*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 4*y**2 + y - 4. Let w be m(-3). Calculate the remainder when w*(0 - 43\/(-2)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 28 = -3*j - 6, -2*j = -y. Let v(t) = 6564*t**2 - y + 4136*t**2 + 4. Let l be v(1). Round l to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 43*i**2 - 3*i - 3. Let n be g(-2). Let p = 250 - n. What is p rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1957547, -1957600, -1957653, -1957706, -1957759, -1957812?\nAnswer: -1957865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 216, -5, 7 in decreasing order.\nAnswer: 216, 7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6627966966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 + 5*l - 27. Let q(w) = -w**2 + 2*w - 13. Determine 2*o(m) - 5*q(m).\nAnswer: -m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {o: 1, j: 1, l: 2, g: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**5\/20 - 7*f**4\/12 - 7*f**3\/6 + 5*f**2 - 23*f - 2. Suppose -2*l - 72 = -11*l. What is t(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -12) + (6 + 6 - -2 - -10).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3590 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 21*s**4\/4 + 23*s**2\/2 + 31. What is the second derivative of o(x) wrt x?\nAnswer: 126*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/120 and 87\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 21*w + 67*w + 9*w.\nAnswer: 104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1053, 1057, 1061, 1065, 1069?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10350)\/(-3780)*-14*(-3)\/5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*r = 44. Let n = r - 31. Let z be 18\/(-81) - n\/9. Solve -9 = h + z*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 98, 210, 324, 440, 558, 678?\n\"Answer: f**2 + 109*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120.53 + 10.07. Let x = s + -131. Which is the closest to 15? (a) 1 (b) x (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4020523017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 210 in 0.2, -206\/3, -29\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 3434044?\nAnswer: -3434105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*r**4 - 14*r**4 - 17*r**4 + 81*r**5 + (-3*r - r**3 + 3*r)*(-57*r**2 + 33*r**2 + 28*r**2).\nAnswer: 77*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 7) in base 3?\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*c**6 + 157*c**2.\nAnswer: 4320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4434013244 (base 5) in base 3?\nAnswer: -200012102210101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*l**2 - 33*l**2 - 25*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-171)\/(-6))\/(18\/84) - 5. Suppose -15*m = 17*m - o. Solve 4*u = s - 2*s - 5, -m*u - 20 = 4*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 198484*i - 198484*i - 383*i**2.\nAnswer: -2*i**3 - 383*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one fifths of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -1950 - 3420. Let g = -546951 + 6552703\/12. Let x = m - g. What is the common denominator of 61\/6 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/56 and -23\/18438.\nAnswer: 73752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14994)\/204)\/(1\/8*-3). Let d = q + -193. Solve -14 - 16 = 5*g - 5*a, d*g - a + 16 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o - 577 - 671 = -72*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 598 - 4379*y**2 + 668*y - 598 + 1374*y wrt y.\nAnswer: -8758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 379055 + -379039.000064. Let b = 16 - n. What is b rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0473 and -0.0513?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 60\/237469?\nAnswer: 60\/237469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9 (b) -1\/2 (c) 8\/6251 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43569.8 millennia to centuries.\nAnswer: 435698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13697*n**2 - 10*n - 42*n + 13675*n**2 + 26*n + 26*n.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 1984*o + 13. Let s(x) = 2*x. Calculate y(s(r)).\nAnswer: 3968*r + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*s + 16*s + 11*s as j*s + x and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-147)\/(-343))\/((-19)\/((-798)\/156)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1353*o - 102754. Determine s(-76).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 16) in base 5?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.84, 3\/8, 2, -5, 1 in increasing order.\nAnswer: -5, -0.84, 3\/8, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -79 (b) -9 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q + 41. Let n be p(-11). What is the remainder when 55 is divided by (-5 - n) + 18 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 - k + k + (7*k - 3*k - 2*k)*(4*k**3 - k**3 - k**3) + (-k**2 + 2*k**3 + k**2)*(-3*k + 4*k + 3*k).\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + u + 15 = -2*u, -4*u - 6 = -3*v. What is the closest to 2 in -1\/3, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**3\/5 - 37*h**2\/5 - 242*h\/5 + 72\/5.\nAnswer: (h - 9)*(h + 4)*(7*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -42*b**2 + 7*b - 18. Let q(j) = -34*j**2 + 6*j - 14. What is 11*n(a) - 14*q(a)?\nAnswer: 14*a**2 - 7*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*o)*(-1 + 3 - 3 + (0 - 3 + 1)*(1 + 1 - 3)) + (0*o - 3*o + 0*o)*(4 - 3 - 3) in the form w + i*o and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2780782 rounded to the nearest ten thousand?\nAnswer: 2780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14310 is divided by 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68.45 - 149.66. Let h = n - -1.71. Round h to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4 - 427*k**3 - 43391*k**2 + 844347*k - 1511730 = 0.\nAnswer: -99, 2, 15, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2881 - -5\nAnswer: 2886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 330*f + 3768. Determine j(11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.15 (b) 66 (c) -2\/41 (d) -1 (e) -5\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(6\/17)))\/(u**(-10)\/u*u)*(u**(-4))**(1\/2) assuming u is positive.\nAnswer: u**(142\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -38684 divided by 4\nAnswer: -9671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55516, 55537, 55572, 55627, 55708, 55821?\nAnswer: 55972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-3)\/(12\/(-16)). Let q(r) = -r**3 - 4*r**2 - r. Let f be q(m). Solve u**4 - 2*u**2 - 4*u**3 + 4*u**3 + u**f = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41519651 - n**3 - 41519651.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 723, 2774, 6097, 10614, 16247, 22918?\n\"Answer: -13*p**3 + 714*p**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*h = -4*k - 111*h - 56, 20 = -3*k - h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -8, 155\/6, 2, -0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 48, 77, 106, 135, 164?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2878*g**4*v - 486*g**3*v**2 + 2*g*v**2 - 42571722*v**2 wrt g.\nAnswer: -34536*g**2*v - 2916*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 4*y - 6. What are the prime factors of g(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2 - 2 - 2*u**2 + u**2 + 8*u + 2. Let z be a(4). Solve p - 2 = 0, -2*t + 3*p - z = -2*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.955513ug in milligrams?\nAnswer: 0.000955513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Factor 2\/3*a**l + a**2 + 0 - 2\/3*a.\nAnswer: a*(a + 2)*(2*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/339340 and -28\/44365.\nAnswer: 158471780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -303101, -606170, -909229, -1212272, -1515293, -1818286, -2121245?\nAnswer: -2424164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -17\/5 (b) 0.5 (c) -3\/2 (d) 148 (e) -1\/4 (f) 4.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -103*r**7\/210 - r**5\/30 + 27*r**4\/8 + 69*r**2. What is the third derivative of k(z) wrt z?\nAnswer: -2472*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2131*v + 42. Is 32 a factor of d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 2. Let b(o) = 17*o**2. What is s(b(i))?\nAnswer: 1156*i**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/62 or -1?\nAnswer: -15\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**2 + 16*p**3 - 15*p**3 - 7*p**2 - 5*p**4 + 8*p**4 as b*p**4 + j*p**2 + k*p + u + c*p**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51995 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -54.28 - 4615\nAnswer: -4669.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 4) + (-525)\/(-45). Put 5, 2\/7, 3, y in descending order.\nAnswer: 5, 3, y, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -24)\/(5\/10). Let t be 64\/11 - (-1)\/(a\/8). Solve t*u = u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95304 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19849a (base 11) to base 15\nAnswer: -6015b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164829461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*f = 791819 - 791903, 5*q = -3*f + 94 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2\/y*y**1*((y**(-3)\/y)\/y)**(3\/26) assuming y is positive.\nAnswer: y**(37\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.012 + 0.004. Let n = -389.00985 + 389. Let l = u - n. What is l rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 - 0.07. Let x(k) = -13*k - 213. Let y be x(-16). Which is the nearest to v? (a) -0.3 (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2898 = -4*u - 2*h, -1980 = -4*u - 4*h + 912. What is the smallest common multiple of 396 and u?\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 49380*r\/7 - 7054.\nAnswer: -2*(r + 1)*(r + 24689)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 8*t**2 - 8*t + 7. Let f be w(7). Suppose 4*d + f*d - 8 = 0. What is the remainder when 4 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Let u = -29\/6 + 61\/12. Factor 1\/2*i**b + 1\/4*i**5 + u - 3\/4*i - 3\/4*i**4 + 1\/2*i**2.\nAnswer: (i - 1)**4*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**2\/2 - 262*r - 2. Let d(t) be the first derivative of -t**2\/2 + 7*t + 1. What is -5*a(y) + d(y)?\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 1386 in descending order.\nAnswer: 1386, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.5 + -3. Let t = 3 - 2.5. Let s = 1.5 - t. Which is the closest to 1? (a) -0.5 (b) i (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 + -2 + 0 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-2 - 8) + (1 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0*v**4 + 0 + 0*v + v**2 - 1\/60*v**5 + 1\/30*v**7 + 0*v**3 + 1\/60*v**6 + 1\/84*v**8. Let c(o) = 0. What is o?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 12*m - 61. Let s be j(-16). Solve -4*l = l - s*h + 23, 3*l + 11 = -h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - sqrt(130)*1*-1))\/(1*(sqrt(10) + 1*sqrt(10))) + -1 + -3*(3 + -3*(sqrt(52)\/sqrt(4) + 1 - sqrt(13)))**2.\nAnswer: -sqrt(13)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + -0.6. Let i = -8 - -7. Let f(k) = -k**3 - 2*k**2 - 4*k - 3. Let u be f(-2). What is the nearest to i in u, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l + 6. Is 4 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3582 is divided by 271?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**4\/12 + 2*l**3\/3 + 16*l**2. Let q be c(-1). Solve 0 = -3*m - 6 - q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 3*y - 20, -21*k = -23*k + y + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:56 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = s + 61. Suppose -t - 2*z = -3*t + 96, 190 = 5*t + s*z. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(-2*4\/48). Suppose v*r - 9 = 0, 32 = 5*g + 5*r - 8. Solve -2*x + 3*x = g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1218216 divided by 789\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*j - 8 = 27, -4*h - j + 25 = 0. Suppose 2*z + 4*i = 20, 0*z + i = -3*z + h. Solve -2 = -2*t - z*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2455 and 1230?\nAnswer: 603930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 725 - 707. Let y be (1 + 3)*b\/24. Solve 16*h + 13 = y*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + s - 1262, -4*o + 1004 = -30*s + 28*s. What is the remainder when o is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1636546 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 198660 to the power of 1\/2, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1958 by 11.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/813807?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 208220980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(76) - (-1 + sqrt(76))))*4)**2 + 0 + 2*((sqrt(76) + 2*sqrt(76))**2*2 - (2 + (-1*sqrt(76))**2)).\nAnswer: 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/(-66))\/((-1)\/6)*3\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = -2*s - 36, -68 = 4*s + 4*y. Let r = -11 - s. Let x be (-9)\/15*r\/(-1). Solve 4*g - z + 10 = 0, -x*g - 5 = -z + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-525)\/(-147) + 3\/(9\/(-12)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 121*q + 816. Give z(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13774 and 3976?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 5*t - 17, -t + 4*o + 11 = 0. Let q be 260\/t - (-10)\/(-15). Suppose -4*x + 34 = -q. Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b**3 + 11*b**5 - 18*b**5 + 5*b**3 + 2*b**5 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 734018 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 + 75. Let s(d) = 2*d + 32. Let v be s(y). What is the third smallest value in v, -2\/5, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14505\/4 - -94035\/2. Let q = n + -1380861\/32. Let f = 242 - q. Calculate the common denominator of f and 63\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 86. Let q be -1 - (0 + 9\/(-3)). Let f(s) = 7*s - 6*s**2 - s**3 + 1 + 8*s**2 + s**q. What is f(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000110110001 (base 2) to base 10\nAnswer: -16817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 + -10100010101111?\nAnswer: -10100010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.049, 2\/9, -1064.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -33*z - 202. What is t(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -14*f**5 + 108*f**4 - 38*f**3 - 216*f**2 - 56*f = 0.\nAnswer: -1, -2\/7, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2742482*t**4\/7 + 104078480*t**3\/7 - 984875916*t**2\/7 - 48972880*t\/7 - 607202\/7 = 0.\nAnswer: -29\/1171, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f. Let t be 3645\/21 + 9\/21. Let w(b) = -t*b**2 - b - 16*b + b + 16*b. What is a(w(c))?\nAnswer: 174*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-2)*80\/(-15). Suppose -j = -2*i, 4*p + 27 - 307 = -3*i. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.1. Let y be (1\/4)\/(15\/(-5) + 4). Which is the second smallest value? (a) q (b) -3\/14 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-8)*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/14)\/(x**(-2\/109)\/x))**(-2\/5) assuming x is positive.\nAnswer: x**(-1663\/3815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dd (base 14) in base 8?\nAnswer: -607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of 0*g + 0 + g**2 - 1\/8*g**4 + 0*g**3. Let p(u) = u. Calculate q(p(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 605 divide 67913371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 144. Solve -2*s = 4*a - 24, -s - 3 = -3*a + j*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -58. Solve -x - 2*x - 2*z - 16 = q, 5 = -z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0015576 decades to centuries.\nAnswer: 0.00015576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1)*(-1 - 3 + 1)*(2*w + 0*w - 3*w + (5*w + 8*w - 2*w)*(7 - 3 - 2)).\nAnswer: 126*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = -a. Let s(t) = 6 + t**2 + 1 - 3. What are the prime factors of s(a)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwwa when four letters picked without replacement from awiww?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 252 + -138. Suppose 2*t + 5*f = t + 1, 0 = -4*t + 2*f + m. Suppose -4*h = 3*v - t, 0*h + 3*v + 4 = 2*h. Solve 0*y + y + x + 4 = 0, 3*y - h*x = 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**11*m*(m**(-2)\/m)\/m)\/(((m*m**(-5\/4))\/m)\/(m\/m**14)))**(-23) assuming m is positive.\nAnswer: m**(345\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*f - 56 + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 2*a - 2. Let y be n(-2). Let h(u) = -u**3 - 6*u**2 + 5. Let o be h(y). Let g = o + -2. Put 5, 2, g in increasing order.\nAnswer: 2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.53783 * -0.7\nAnswer: 0.376481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 25. Let t(h) = -32 + 2*h - j*h**3 - 14*h**2 + 8*h + 4*h**3 + 7*h. Calculate the least common multiple of t(13) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/3 + 3848*h**2\/3 + 38405*h\/3 + 95950\/3 = 0.\nAnswer: -3838, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 8*p + 3. Determine r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/160 and 79\/800.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 79414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + p - 19 = -8, -2*t + 10 = -4*p. Solve 5*l + t*v - 5*v + 30 = 0, -3*v = 4*l + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from gggggugggggg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -14. Let n(b) = 10*b - 1. Let i be n(1). Let s be (2\/10)\/(3\/i). What is the smallest value in s, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Let r = 25 + -7. Suppose -f*h + 72 = -r. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i - 14 = -5*o, -3*o = -5*i + 12. Suppose o = -4*f + r, 5*r - 13 = 3*f + 9. Find the first derivative of 3*j**2 - j**2 - 4*j**2 + 2 - f wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5 = -5*u + 3*l, -3*u + 2*l - 1 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**5\/20 - b**4\/4 - b**3\/2 + 3*b**2 - 3*b. Let x be r(4). Let a = x - 3. Solve -4*d = -a*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011000101 + -101?\nAnswer: -1010011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*v + 2630, v = -3*c - c + 2107. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 + q + 56 + 3 + 5 - 6.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -771, -565, -359?\n\"Answer: 206*c - 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*w + 29*w**2 + 124*w**3 - 17 + 17 - 127*w**3 - 24.\nAnswer: -(w - 6)*(w - 4)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7223 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 41893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 113, 206, 323, 470, 653?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 133452231 (base 6) in base 8?\nAnswer: 12224433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**5\/20 - 11*p**4\/12 + 7*p**3\/3 + 13*p**2 - 68*p. Let x be z(-12). Which is the nearest to -2? (a) -5 (b) x (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-360)*6\/5\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m*p + 222128*m - p - 306351 wrt m.\nAnswer: -p + 222128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3 and 12\/17555.\nAnswer: 52665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 - 7*c - c**3 + 3*c to d*c + o*c**2 + f*c**3 + m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 + 413.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {a: 2, t: 4, g: 2, q: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48742 plus -9.3?\nAnswer: -8.81258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -p + 2*k + 17, k + 17 = 4*p. Let o(c) = 4*c + 7. What is the remainder when 107 is divided by o(p)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 1552.\nAnswer: 4656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51054816 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8*z - 304. Suppose -4*t = 2*p + 14 - z, -4*t - 4*p + 68 = 0. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**7\/105 - 58*m**6\/25 - 264*m**5\/25 - 53*m**4\/3 - 59*m**3\/5 + 278*m - 8. Suppose p(z) = 0. Calculate z.\nAnswer: -1, 0, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/2*(-2 + 2). Let r(l) = -l**3 + 11*l**2 + 12*l + 14. Let s be r(12). Suppose 0 = -18*p + s*p. Is b bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 6) + (13 - -19) + (-3 - (-4 + 1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -30 (c) -0.3 (d) 0.095 (e) 2\/5 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*j - 10 - 25, -5*j + 67 = 4*u. Suppose 5*l + j = 1. Is 8 a factor of ((-9)\/3 - l) + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p)*(-170*p**2 + 3 + 63*p - 83*p + 21*p).\nAnswer: 340*p**3 - 2*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -430, 9, 3, -1, -6 in descending order.\nAnswer: 9, 5, 3, -1, -5, -6, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*s - 31, -q = 3*s - 11 - 6. Let u be (-1 + -14)*q\/(-6). Suppose u*t - 5 = -0*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 2*t - 5. Let d be i(5). Suppose -5*q + 3*z = 2*z - 48, -d*z = -10. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**8\/10080 + h**7\/5040 + 10*h**3\/3 + 6. Let p(u) be the third derivative of r(u). Suppose p(i) = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 43 = -2*d + q, -4*d = -3*q + 101. Let o = d - -24. Is -2 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-20*i**4 + 26 - 12*i**4 + 29*i**4).\nAnswer: -6*i**4 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3f - 569c?\nAnswer: -565d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101385 - 8*g + 50693 + 0*g + 7*g + 50689.\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 0*w + 2 + 1\/6*w**2 + 1\/18*w**6 + 0*w**5 + 0*w**3 - 1\/6*w**4. Solve h(f) = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 4725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(0 + 1) - 3. Suppose 3*n = l + 7, g = -l + 4*n - 8. Suppose -2*s + 27 = z + 8, 2*s - 16 = l*z. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) 2\/11 (c) 11 (d) -1 (e) -0.2 (f) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93420 and 116775?\nAnswer: 467100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.118 + 2.118. Let u = -20 + 21. What is the second biggest value in 3, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 6 + (-6 + -10 - 18)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33966 and 10572084?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6588 and 20496?\nAnswer: 184464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p + 0*p**3 + 0 - 1\/42*p**7 - 5\/24*p**4 + 1\/12*p**5 + 1\/24*p**6 - 4*p**2. Find k such that f(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 4*u + 24, -5*u + 14 = 28*z - 129 - 178 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3*i**3 + 15189908*h**3 - 337*h*i**3 - 15*h*i**2 + 2*h - 277*i + 2 wrt h?\nAnswer: 18*h*i**3 + 91139448*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imi when three letters picked without replacement from {m: 3, i: 11, o: 4}.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/10*(-3 + -3). Let q(u) = 2*u**3 - u**2 + 3. Let h(r) = -3*r**3 - 49 + r**2 + r**2 + 44. What is n*h(z) + 5*q(z)?\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d + 109*d - 65416 = -302*d. Calculate the remainder when 11097 is divided by d.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(14\/(-12)))\/((-2)\/1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 608*a*r**2*s**3 - a*r*s**3 + 3*a*r*s - 3*a*r + 62*r**3*s + 5*r*s**3 + 34*r*s wrt r.\nAnswer: 1216*a*s**3 + 372*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5af81d (base 16) to base 9.\nAnswer: -12185884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3*(-27)\/15?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -0*y - 72. Suppose 0 = -2*m - 10, -w - m + 3*m = -y. Solve -w - 1 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s - 15*s - 71*s + 86 = 4*j, -s - s - 151 = 5*j for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -287678*a**4 + 2*a**3 - 3*a**2 + 774696.\nAnswer: -1150712*a**3 + 6*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - x + 101 = -32, -2*v - 4*x + 378675 - 378673 = -v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**4 - 10*j**2*m + 6*j*m**2 + 3*m**2 + 26 wrt j.\nAnswer: -8*j**3 - 20*j*m + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7444702 - 101809515.\nAnswer: -109254217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(17) - (sqrt(136) + 2*sqrt(136))\/sqrt(8))).\nAnswer: -4*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 + 5*w**2 - 4*w**2)*(2162*w - 2162*w + 170*w**2 - 439*w**2) to the form g*w**2 + o*w + s*w**4 + y + d*w**3 and give s.\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 84*z**2 - 280*z + 192.\nAnswer: 4*(z - 2)*(z - 1)*(z + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4753772819 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 - 167. Suppose 16 = w*n - 56*n. Solve -4*h - n*v + 8 = 0, -h - 5*v + 2*v + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1 - 2*k - 7 - 3*k wrt k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19990805, -39981608, -59972411, -79963214?\nAnswer: -99954017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06+-0.403\nAnswer: -0.343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r - 10. Let n be o(2). Solve -3*w - 4 = -5*z, -w - 12 = n*z - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = -37*p + 30. Let f be 2\/((10\/(-4))\/5). Let n = f - -11. Solve 0 = p*l - n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 3*r**3 - 5*r**3)*(-157*r + 50*r - 13*r) + (0*r - r**3 + 0*r)*(-2 - 2*r + 2).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18\/5, 0, -2, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1146, 1203, 1308, 1485, 1758, 2151, 2688, 3393?\n\"Answer: 4*o**3 + 29*o + 1113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -94, -96, -104, -118, -138?\n\"Answer: -3*q**2 + 7*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2275 = -20*w - 215. Suppose w*f - 251 = 102*f. Calculate the remainder when f is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/44*(-4224)\/(-640)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101000110010110 (base 2) to base 7\nAnswer: -114615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47243, 190051, 428057, 761261?\n\"Answer: 47599*l**2 + 11*l - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143354 (base 6) in base 10?\nAnswer: 13750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 31 = -79. Suppose 4*l = -2*w + 4, -l + 3*w + w = -1. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 - 120?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -87.4. Let j = -279.7 - -286.5. Is j at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 28 = -0*v. Let z be ((-6)\/(-5))\/(v\/35). Suppose g = -2*g - z. Is g at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28411 is divided by 9462?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 8. Let n = -1 + 8. Let x be r(n). Determine t, given that -x + 2*t**2 + 3 - t - 3*t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1573) - (sqrt(1573) + sqrt(1573)*2)*2) + 5 - (1 + 5 + -1*(sqrt(1300) - (sqrt(1300) + sqrt(1300)*1 + sqrt(1300) + sqrt(1300))))) + -2)**2.\nAnswer: 170*sqrt(13) + 93926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*c**5*v + c**4*v + 13*c**4 - 13*c**2*v + 2*c**2 + 2*c*v + v wrt c?\nAnswer: 2040*c**2*v + 24*c*v + 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-51204.89.\nAnswer: -102409.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 16 = 4*u + 2*a - a. Suppose 6*o - u = 5*o - p, -2*o - 5*p = -11. Suppose -4*r + o*f + 28 = 5*f, 4*r + 5*f - 40 = 0. Solve -3*l + r = -10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 16*n + 31. Let c be h(14). Suppose 0*f - 5*f = 3*u - 10, 0 = -3*f - c. Let j be ((-42)\/9)\/((-20)\/18). Which is greater: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 639 = -3*f + 1940, -2*f = 5*w + 6454. Let k = -489 - w. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -21*s**4\/4 + 19*s**3\/3 + 22*s**2 + 4*s - 30. Factor w(x).\nAnswer: -(x - 2)*(x + 1)*(21*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**4\/24 - 2*k**3\/3 + 2*k**2. Let i be a(-7). Solve i = -4*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/15455531 and -13\/392?\nAnswer: 123644248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 4*i, 5*r - 2*i = -5*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**3 + 548*k**2 + 152*k + 5679. What is c(183)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5852 - -11897. Let y = c - 42437\/7. Is -16 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559265?\nAnswer: 5, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 31500\/(-124992) + 3\/16\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 4*s - 20, -4*x - 5*s = -5 + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, u: 2}. What is prob of sequence mmu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + 33. Let c = t - 35. Let d(h) = 36*h**2. Let v = -6 + 4. Let k(b) = 5*b**2. What is c*k(r) + v*d(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 2\/467 (c) -420\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - y - 3. Let f(k) = 1. Let u(g) = 4*f(g) + r(g). Let o be u(-1). Calculate the highest common divisor of 8 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 642112236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + 33. Let a = -249 + i. Find the common denominator of (a\/32)\/(12\/16) and 32\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5445 - -18142. What are the prime factors of j?\nAnswer: 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from evvevv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 130420 = 2*n, -3*h + n - 4*n = -78231. Round h to the nearest one hundred.\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9971697 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*l = -9*l + 50980, 2*l = -3*o + 30586. Let k = o - 6987. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s. Let g(c) = -10283*c. Determine 1638*f(x) - 2*g(x).\nAnswer: 2548*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/2 + 7067*o**3\/2 + 6097244*o**2 - 517325778*o = 0.\nAnswer: -3574, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*f + 5*k, -4*f = 2*k - 4 - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 989.\nAnswer: 1285.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46720552?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 12208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3 + (0 - -2)). Suppose 0 = -z - 5, -2*t - 3*t = -2*z - 25. Suppose 0 = t*f + f. Which is smaller: u or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 61 = -y, -15*a + 10*a + 50 = -4*y. Solve l + 9 - a = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -506 + 509. Find the third derivative of 3*k**2 - k**4 + 26*k - k**4 + 85*k**v - 46*k wrt k.\nAnswer: -48*k + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - 26 - -17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-6696)*18*2\/(-3)*2?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12207 + -12202. Let u(j) be the first derivative of 8*j**2 + 16*j - 4*j**3 + 4\/5*j**r + 3 - 2*j**4. Factor u(y).\nAnswer: 4*(y - 2)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 730653831 to the nearest integer?\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 5*x - 7. Suppose 2*g + 18 = -g. Let y be l(g). Let s = 9\/10 + -79\/110. Which is smaller: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose -o - 20 = -p*o. Let n = 2 + 18. What is the least common multiple of o and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 1\/12*d**6 + 0*d + 3\/20*d**5 + 0*d**3 + 1\/12*d**4 + 1\/70*d**7 + 4*d**2 + 0. Factor a(s).\nAnswer: s*(s + 1)*(s + 2)*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**11\/27720 - m**7\/2520 - m**4\/4 - m. Let u(v) be the third derivative of i(v). What is the third derivative of u(a) wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153911 to the power of 1\/2, to the nearest integer?\nAnswer: 1074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 - 58. Let m = b + 166.6. Put 4, m, -5 in decreasing order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 13*q**5\/30 + 37*q**3\/3 + 50*q**2. Differentiate p(z) wrt z.\nAnswer: 52*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 + 2 = 0. Let k(s) = 8*s**3 - 2*s**2 + 1. Let h be k(f). Let q = -86 - -114. Calculate the highest common divisor of q and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-2)*2\/9. Let u be -2*((-765)\/(-108) - 7). Let w = 845.3 - 845. What is the closest to v in w, u, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/333034 and 62\/115281.\nAnswer: 2997306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvgvgggg. What is prob of picking 2 v and 2 g?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17452 and -1794.5.\nAnswer: 15657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojxojojbjjojjobxjo. Give prob of picking 2 b and 1 j.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 348369*w**2 + 810066*w?\nAnswer: 12*w**2 - 696738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*sqrt(228)*1 + (sqrt(228)*1*-4 - sqrt(228)))\/(2*sqrt(108)*-4))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/30)\/(775\/(-10))?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -65538 * 0.4\nAnswer: -26215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 7*a - 94. Let b = a - 46. Solve -4*t - b = -13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-8) + (-99)\/66\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35510 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l = 361 - 446. Sort l, -156, 2, 0 in decreasing order.\nAnswer: 2, l, 0, -156","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00322125669 rounded to four dps?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13*h = -11*h + 16, 0 = 5*p + 4*h + 5. Let k(c) = 38*c - 8. Does 53 divide k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 5*l**2 + 5*l - 6. Let i be o(3). Let j be 19\/7 - (i - 183\/(-21)). Solve -r - 3 - 7 = -j*t, 4*t - 7 = -5*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 426, 1, 0, -4, 6, -3 in descending order.\nAnswer: 426, 6, 1, 0, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(3\/2) + 43 + -44. Let i be ((-1)\/a)\/((-21)\/9). Let s = -26 - -46. Put s, i, -0.3 in increasing order.\nAnswer: -0.3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49533 divided by 646.\nAnswer: -2607\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 436742143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0.27460177?\nAnswer: -0.27460177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-2.6983.\nAnswer: 1.34915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/3 (b) -0.5 (c) -16 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2822 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761796339.\nAnswer: 3, 281, 903673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/13, 2, 0, 0.028, 3, 2.1.\nAnswer: 0, 0.028, 8\/13, 2, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 10a6?\nAnswer: -10a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -491 - 380. Let d = -501 - m. What is d rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*z**3 - 2681*z**3 - 1584*z**3.\nAnswer: -4321*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1080 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**2*z**2 - 244*v**2*z - 848*v*z + 8*z**3 - 123271*z**2 wrt z?\nAnswer: 4*v**2 + 48*z - 246542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 49?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 9*o + 9. Let m(j) = -j**2 - j. Let t(g) = 4*g**2 + 6*g + 5. Let n(d) = -2*m(d) - t(d). Let v(s) = 9*n(s) + 4*q(s). Differentiate v(i) wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1071 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 3:55 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2)*1*1420\/(-67450)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7582 and 892?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 2*g**2 + 8*g - 4. Let s(w) = w**2 - 4*w - 5. Let f be s(6). Let y be n(f). Find the common denominator of (y\/60)\/3*-1 and -3\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + c - 15 = 0. Let m(h) = h**2 - 5*h + 2. Calculate the least common multiple of 2 and m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 23*t**2 + 13*t - 6. Let m(v) = v + 2 - 1 + 2*v**2 - 3*v**2. Let l = 2 - 3. Let p(k) = l*r(k) - 6*m(k). What is the second derivative of p(w) wrt w?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {c: 5, q: 2, k: 1, p: 4, n: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b**3 - 31*b**2 + 2*b + 7. Let y(r) = -26*r**3 - 63*r**2 + 4*r + 12. Calculate 5*j(p) - 3*y(p).\nAnswer: 3*p**3 + 34*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 2. Let f(k) = k**2 + k + 1. Suppose -5*m - 10 + 0 = 0. Give m*f(r) + z(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 6.967?\nAnswer: -0.6967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 12*j**2 - 23*j - 25. Let y be g(-10). Which is the closest to -4? (a) y (b) -2\/13 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -218, -206, -158, -62, 94, 322, 634?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -166609 and 7633.49113.\nAnswer: -158975.50887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (26 - 6) - (-52 + 41)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4637, -9270, -13901, -18530, -23157, -27782?\nAnswer: -32405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (38\/532)\/(2\/(-8)). Let d = 0 + 0.129. Are d and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 26*i + 178. Let j(b) = 9*b - 6. Calculate the least common multiple of j(5) and h(-4).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + -1 + (62 - (37 - 24) - 36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.044 + -4.844. Let c = z - 0.2. What is the closest to -2\/7 in c, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 - r**2 + 2*r**2)*(11 + 9 + 24542*r**2 + 11 + 9968*r**2 - 31) in the form j*r**4 + d + i*r**3 + p*r + v*r**2 and give j.\nAnswer: -69020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 2*i**2 - 19*i - 19. Determine s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v*v*(v*v*v*v**(-7)*v*v)\/v*v*(v**(1\/3))**(-8\/3))\/((v**(-2)\/v**5)\/((v**(6\/11)*v)\/(v*v**(-8)*v*v))) assuming v is positive.\nAnswer: v**(1154\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-2\/17))*z\/((z*(z*(z*z*z**6)\/z)\/z*z)\/z)*z**(-2\/17)*z*z**(2\/13))\/(z**(-2\/15)\/((z**(-1)*z*z)\/z)*z**3*z*z**(1\/2)\/z) assuming z is positive.\nAnswer: z**(-62641\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: What is y in -5*y**5 + 8*y**4 + 2499*y**3 - 13502*y**2 + 6200*y + 4800 = 0?\nAnswer: -24, -2\/5, 1, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - (-1 - -1))*2. Let g be (-5)\/2*(-34 - f). Find the common denominator of 23\/10 and 419\/g + (-6)\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - b**2 + b + 12. Let a(r) = -r**3 + 2*r**2 - 2*r + 1. Let x be a(1). Suppose -g - g = x. What are the prime factors of c(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 8.4, -1\/6, 0.16, 100?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -26. Solve -g - 15 = n*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5774 + 31?\nAnswer: -5743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 576, 2309, 5200, 9249, 14456, 20821?\nAnswer: 28344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, -4.4, 194.\nAnswer: -4.4, -2\/19, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111004, 111038, 111090, 111154, 111224, 111294, 111358, 111410?\nAnswer: 111444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 19 = -q. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (2 + (7 - 14)). Let p(k) = -587*k + 1169*k - 581*k + v. Let g = -2 - -7. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001102 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312184553*d**3 + 413*d**2 + 120150.\nAnswer: 1873107318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*o = 8839, 4*o = 3*s + 5862 + 2959. Let n = s + 17587\/6. Let k = -27\/2 - n. What is the third smallest value in -0.3, k, 7\/2, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2136030868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-3*a**2 + a**2 + 0*a**2) + 4*a**2 + 0*a**2 - 2*a**2 + (-3 + 1 + 0)*(-3*a + 3*a - 2*a)*(-4 - 4*a + 4 + (-2 - 3 + 3)*(2 + 0 + 1)*(2 - a - 2)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*b = 88, -b = -3 + 1. What is the highest common divisor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 205*p - 17. Let t(v) = -208*v + 14. What is 3*c(k) + 4*t(k)?\nAnswer: -217*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 1\/20*n**6 - 4\/195*n**5 + 23\/1365*n**7 - 1\/39*n**4 + 0*n + 0 - 5\/546*n**8 - 16*n**2 + 0*n**3. Solve c(p) = 0.\nAnswer: -1, -1\/4, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*b + 4\/7 - 2\/7*b**3 + 8\/7*b**2.\nAnswer: -2*(b - 2)*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 = 320*a + 1159 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + 4\/6. Let l(d) = d**3 - 16*d**2 + 25*d + 42. Let j be l(14). Suppose -a + j*a + 391 = r. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789369723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 119118674 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71520 and 12882720?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 55*b**2 + 3*b - 3. Let u(t) = 330*t**2 + 17*t - 17. Calculate -34*l(s) + 6*u(s).\nAnswer: 110*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*n + 2 + 3*n + 2*n - 2*n + (-1 + 3 - 1)*(3 - 3 + 2*n) + 2*n + 0*n - n)*(n**2 - 4*n**2 + n**2) in the form f*n**2 + k*n**3 + v*n + u and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/(-192))\/(15\/(-63)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n. Let y(a) = 4*a + 2. Let x(b) = 10*b - 2 - 3 - 19*b. Let w(h) = 2*x(h) + 5*y(h). Give u(w(l)).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 2*r**2 - 3*r + 2. Let m be 38\/20 + (-19)\/(-190). Calculate g(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331\/5 - -66. Let r = 0.058 + 23.942. Let y = 24.5 - r. What is the closest to -1\/4 in u, -3\/7, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 66 = 8*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.487 + 2.623. Let l = 0.11 - i. Which is the second smallest value? (a) 0 (b) -1\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.329 + 0.029. What is the smallest value in 0.7, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j + 74. Let h be f(6). Let z = 15 + -14.5. Which is the second biggest value? (a) -1 (b) h (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2605246 is divided by 4155.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 25 = 12*s. Let w(m) be the second derivative of -m**3\/6 + 2*m**2 - 3*m + 2. Let y(b) = -3. Determine s*y(u) - 4*w(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let q(z) = 3*z**2 + z + 17. Determine -j(v) + q(v).\nAnswer: 3*v**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 609087 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -l - 8 - 12, -3*t + 3*l + 30 = 0. Suppose 8*i - t = 134. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 1\/8, 0.4 in decreasing order.\nAnswer: 0.4, 1\/8, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {z: 11, c: 2, r: 3, k: 3}?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903.169 milligrams in kilograms?\nAnswer: 0.001903169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 1. Let k be w(5). Factor 3*n**3 - n**3 + 2*n + k*n + 5*n**3 + 2 + 16*n**2.\nAnswer: (n + 1)**2*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = -4*m + 2*m, 3*m = -q + 3. Suppose -z = z + q. Is 35 + 2 - (5 + z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 - ((4 - 5 - -3) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t**3 - t**2 + 2*t - 1. Let a be g(1). Suppose a*s - 5*s = -60. Is (6\/s)\/((-1)\/12) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135 and -9.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 2786*t**2 - 28060*t.\nAnswer: 2*t*(t - 1403)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 508410 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 372665\/(-3066) + 120 - 2\/7?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3579 or -3557?\nAnswer: -3579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 555853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 13. Suppose -19 + 7 = -h*q. Suppose -14*t - 20*t = 0. Solve q = g - t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 954 divided by 18\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -389 in 3, -123, 356?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**6)\/(x*x**5)*(x**(1\/4)*x*x)**16)\/(x*(x\/(x\/(x**(2\/13)*x)))\/x*x**3*x**8*x*x**(-6)) assuming x is positive.\nAnswer: x**(232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/33, -4, 16?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 253 divide 3959450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5)*19502 - (-16)\/40. What is b rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = 4*s, -5*s - 7*n + 2*n + 20 = 0. Let p be (0 - s)\/(-8 + 6). Factor 2\/7*b**2 + p*b + 2\/7*b**3 + 0.\nAnswer: 2*b**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11 = 4. Suppose 0 = -2*v + 5*u + 9, 5*v - 2*u = 3*u + k. Suppose -5*c + 134 = 2*q - 4*q, 0 = c + v*q - 34. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u + 3 - 30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 7:54 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.966939 centuries to decades.\nAnswer: 19.66939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -372*w**2. Let i(b) = b**2. Give i(p(a)).\nAnswer: 138384*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901868481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:19 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 934549436 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7413346.\nAnswer: 2, 149, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2026 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 59*i**4\/12 + 5*i**3\/3 - 2*i**2. Let h = 462 - 457. Let c be q(h). What is c rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34338 a multiple of 194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 + 0 + -1. Suppose p*r - 24 = -4*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from izieizzzeo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -14*a + 40*a - 5056. List the prime factors of a.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9851661 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**2\/4 - 2103*z\/2 + 127503\/4 = 0?\nAnswer: 31, 1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1606 times 0.1\nAnswer: 160.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.2. Let b = 0.1 + 0.9. Is l at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) 0.0186 (b) -1274 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 80*k**3 - 70*k**2 + 6*k - 4. List the prime factors of x(3).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 divided by -466?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0*q - 24. Suppose 13 = 2*u - 3*n, -3*n - q = -u + 2*n. Let l be (0 - u*(-39)\/(-12)) + -3. Is l less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11765, -23539, -35311, -47081?\n\"Answer: h**2 - 11777*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4100 + 10?\nAnswer: 4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 87, 5 in decreasing order.\nAnswer: 87, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + q - 201 = -q - 186, 2*d + 8*q - 18 = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 17, 3, -3, -4 in descending order.\nAnswer: 17, 3, -3, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:37 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 10. Let v = p + 26. Solve v*q + 2*j = -10, 3*q = -q + 5*j - 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79178062 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/5 + 13230754*l**2\/5 = 0.\nAnswer: -13230754, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 0.1 (c) -10 (d) -3369 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5149?\nAnswer: 5149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 160393.\nAnswer: -52\/160393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163744 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Suppose -3*t - 11 = 2*u, -t = 5*u + n*t + 15. What is the second derivative of 4*y**u + 0*y**2 + y + 0*y + y wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 65. Which is smaller: u or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:23 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 194. Let q be m(38). Find the second derivative of -2 - q + 71*z**3 + 15 + 36*z - 8 wrt z.\nAnswer: 426*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 56*b**2 + 1581*b + 9212. Determine c(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 4)*(8*y + 2*y - 2*y) + 5*y - 2*y - 2*y as r + x*y and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646266950.\nAnswer: 2, 3, 5, 1219457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + z**2 + z**2 + 3 + z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1cc?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 892 + 916 = 0. Solve 3*x + 23 = -t*d - 0, 5*d + 3*x = -25 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-957 + 438 - 254)*(-z**2 + 2*z**2 + z**2).\nAnswer: -1546*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*4*552\/(-828)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(-1504)\/470.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**5 + 95*m**4 - 175*m**3 + 85*m**2 = 0?\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247 - 1720\/7. Calculate the common denominator of h and ((-3)\/(-2))\/(42\/826).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11104, 22203, 33302, 44401, 55500, 66599?\n\"Answer: 11099*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - (-12 + 7 + 22 + -7).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 - 1 + 1 + 2*y**2 + y**3 - 2*y**2 + y**3 + 0 + 0 + (y**2 - y**2 - y**3)*(-4 + 1 + 1) + y**3 + y**3 + 0*y**3 - 840*y**3 - 308*y**3 + 486*y**3.\nAnswer: -658*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/6*3)\/((-777)\/148)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -56145 - -90134. List the prime factors of c.\nAnswer: 41, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 8:39 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -46. Let i be (-76)\/(-24) + (-1)\/6. What are the prime factors of -3 - b\/i*-3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2. Let b(g) = -42*g - 33. Give b(w(t)).\nAnswer: -42*t**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06097 * 8.\nAnswer: 0.48776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/3 - 2*b**3\/3 - 4*b**2 + 37*b + 2. Suppose 0 - 16 = -4*d. Does 8 divide s(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26484315 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - t**4 - 3*t**3 + (-t**2 + t**2 - 3*t**2)*(0 + 2*t**2 + 0) + 0*t**4 + 5*t**4 - 3*t**4 - 4*t**4 - t**4 - 10*t**4.\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 9*s**2 + 4. Let o be h(9). Let v = -7 + o. What is the third biggest value in -2, 4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -48*y - 2. Let v(n) = -528*n**2. Give l(v(h)).\nAnswer: 25344*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**6\/360 + 3*d**3 - 20. Let x(h) be the third derivative of s(h). Let j(q) = -5*q. Give x(j(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1324*n - 1322*n - 1319*n + 3965*n + 5*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 448\/520 + 102\/(-30) + 3\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 21*k**2 + 7*k**3 + 12*k**2 + 11*k**2)*(-k + 4 - 4).\nAnswer: -7*k**4 - 2*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqwmwl. What is prob of sequence lqm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-108))\/(1\/(-28))*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 242892128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 19. Let f(y) = -y**2 + 6*y + 1. Let n be f(5). Let p be ((-308)\/n)\/(2\/(-3)). What is the greatest common factor of w and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 686668.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4.7 (b) -1 (c) 0 (d) 0.1 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -988528 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38600?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -382 + 458. Suppose 12*x + 7*x = i. Which is the closest to -2\/7? (a) x (b) -4 (c) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 3*h + 33 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -9*g + 28 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -572 divided by 572?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**3 - 292*s**2 - 377*s + 250. Give n(-96).\nAnswer: -422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2)*(120\/20)\/((-18)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.18561588.\nAnswer: -0.9280794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 132, 129, 116, 87, 36, -43, -156?\n\"Answer: -v**3 + v**2 + v + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + z = 33, 14902*k - 3*z = 14899*k - 27 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-2) - 1\/2. Let y be (-1)\/1*3 + 0. Let x be (-3)\/(y + 2\/(-1)). Which is the third biggest value? (a) x (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1795364 and 81941?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 427, 479, 531, 583?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**4\/6 + 687*q - 2. Let p(i) = 206*i. Give l(p(v)).\nAnswer: 84872*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-6)*1\/(17\/(119\/(-35))). What is f in -2\/9*f**2 + o*f - 2\/3*f**3 - 2\/9*f**4 + 4\/9 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795399113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let w(u) be the first derivative of -19*u**2\/2 + 17. What is w(l(a))?\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/(-11 - (-5769)\/522) - 6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + 33*l - 43. Let f be o(15). Solve -2 = f*j - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7268785, -14537571, -21806357?\nAnswer: -29075143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -250 and -1879.386.\nAnswer: 469846.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(132) - -2*sqrt(132)*3))\/(-6*sqrt(192) + (1*sqrt(108))\/sqrt(9))*-4)**2.\nAnswer: 698544\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6476798 to 4 decimal places.\nAnswer: -0.6477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:51 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6 = 3*n, -22 = 3*n + u - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21721120 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1458*l - 1 + 1 = -1436*l. Let c = 65 - 43. Let k = c + -6. Solve -u - 3*u + k = l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.091+-6289\nAnswer: -6288.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 2*f**2 - f + 5. Let p = -33 - -36. What is the units digit of w(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -13 - 135. Suppose -n = -2*r - r + 89, 2*n = 5*r - a. Suppose 19*f - 22*f = -r. Solve -c - 4*c + f = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003806 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-3) - 13*2. Let y be t\/10 + 20\/25. Let p be 1\/4*(y + 6). Is 2\/43 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25091578 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13136478?\nAnswer: 2, 3, 17, 29, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56137 and 18815?\nAnswer: 37322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26965442?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 641395 and 185?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 5)\/((-1)\/(-5)). Suppose -289 = -3*i + 5*m, -362 = i - r*i - 5*m. Suppose 5*j = 82 + i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54171, -105278, -156385, -207492, -258599, -309706?\nAnswer: -360813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 385*z**2 + 4346*z + 223490. Determine n(-375).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -111\/2, -3, 4\/7, -0.3, 5, -5 in decreasing order.\nAnswer: 5, 4\/7, -0.3, -3, -5, -111\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 - 93.61. Let q = r + 0.61. Is q at most -231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 253 + 1731 - 689)*(0*x**2 - 3*x**2 + 0 + 1).\nAnswer: -2085*x**2 + 695","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3 - 30*x**2 + 62*x - 24 = 0. What is x?\nAnswer: 1\/2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4586?\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 12. Let y be h(0). Calculate the common denominator of 2\/(-6) + 95\/33 and 53*(9\/y - -1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 3*z**2 + 5*z - 3. Let p be k(4). Let j = p - 1. Suppose -4*a - 58 + 366 = j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (744\/(-224))\/31*-7.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 10 = -14*i. Suppose 6*x - x + 5*o = 1770, 3*o = i*x - 1794. Suppose 315 = 7*z - x. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -13*o**2 - 10*o - 7. Let j(q) = -6*q**2 - 5*q - 3. What is 9*j(t) - 4*l(t)?\nAnswer: -2*t**2 - 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*f - 36 = h - 114*f, -2*f - 18 = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + j + 22. Let r be b(0). What are the prime factors of (r\/3)\/((-2)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59626689.\nAnswer: 3, 19875563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -17642\nAnswer: -5\/17642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 3*p - 4154 = 0, 4168 = 4*d + 4*p. Suppose -7*v + 3*v - 2*b - 2838 = 0, 0 = 5*v - 5*b + 3540. Let u = v + d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.08 and 0.7.\nAnswer: -1.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 665, 1312, 1957, 2600, 3241, 3880?\n\"Answer: -n**2 + 650*n + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 44*u**3 + 14*u**2 + 278*u - 4975032?\nAnswer: 132*u**2 + 28*u + 278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.935 - 17710.065. Is i <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66020460 divided by 4.\nAnswer: 16505115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016954823 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1349721*290.\nAnswer: 391419090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510793 is divided by 170187.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 8 - 63)*(6*y**2 - y**2 - y**2).\nAnswer: -264*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4 - 12. Let z be (-1)\/(-5) + (-246)\/30. Are z and x nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 15394787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42602*t + 1811*t**2 + 42602*t)*(2*t + t - 5*t)*(-3*t + 2 - 2) to the form q*t + j*t**3 + x + v*t**4 + o*t**2 and give v.\nAnswer: 10866","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 74169708 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**4\/7 - 26919*o**3\/7 - 619495*o**2\/7 - 4606677*o\/7 - 10911510\/7 = 0.\nAnswer: -9, -5, 26942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m**3 + 7*m**2. Let x(u) = 12*u**3 - 6*u**2. Suppose -n - 3*y - 9 = -0*n, -y - 19 = 3*n. Calculate n*d(w) - 7*x(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-732)\/549*(-1)\/16)\/((-4)\/40).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 57*h**2 + 5*h + 19. Let c(z) = -9*z**2 + 61*z + 10. Let v be c(7). Is y(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6*y = 0. Suppose -m - j = -2*j - 71, y = 3*j - 6. Is m a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 472*y**2 - 5*y - 2. Does 35 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6 + 6*m + 3401*m**2 + 3443*m**2 - 6845*m**2. Let b(u) = -2*u. Let t be b(-3). Determine o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-9)*147\/(-245).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 5*u**2 - 54. Let f(h) = 10*h**2 - 109. Calculate 3*f(g) - 7*i(g).\nAnswer: -5*g**2 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001886 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 445716 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = 4*w - 4*j, -w - j + 490 = 4*w. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361775887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v - 12. Let g = 0 + -4. Let p = -4 - g. What is the third biggest value in p, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 24. Is x at least -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332717 is divided by 10082?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 + 84760.02.\nAnswer: 84758.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a - 2537886 - 536930 - 1296782 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/2)*m*m*m**(-3)*(m*m**(3\/4)*m)\/m**(-6) assuming m is positive.\nAnswer: m**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuxxxfxullxfxxluf. Give prob of sequence ufl.\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/2*28\/(-98). Put q, -1, -41 in increasing order.\nAnswer: -41, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -i**4 + 67*i**3\/6 + 106*i**2 + i. Does 23 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 17775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(20\/770)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112853*d + 127271 wrt d?\nAnswer: 112853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1287, 1338, 1389, 1440, 1491, 1542?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 - 8) + 1 + -2. Let j be (4\/(-7))\/(15\/(105\/n)). Solve -3 = -l + j*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3108779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 1. Let w be (-1 - 4\/(-6))*3. Let g be a(w). Solve 0 = -g*o + 4*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 10. Let f be 34\/(-72) + (-9)\/(-36). What is the nearest to 1\/3 in -0.3, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190*2\/(-264) - (-15)\/(-10)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 6:00 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 21*s - 15. What is the remainder when l(-14) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-10) + 6\/4 - 4. Let z = 37 + f. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16699 to the nearest 100.\nAnswer: 16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 35 + 478. What is the highest common divisor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838891 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ziyy when four letters picked without replacement from {z: 2, i: 4, y: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1405 = -2*z - 2*s - 129, 4*s - 1276 = -2*z. Let m = 1247\/2 - z. Calculate the common denominator of 89\/12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67244 or 67246?\nAnswer: 67244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -21. Solve 4*a = -0 - f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.511777kg in micrograms?\nAnswer: 5511777000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -96. Let c be (-477)\/(-4 - -1) + -2. Let a = w + c. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.2 - -6.2. What is the nearest to -0.1 in d, -1\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 347182513?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*f + 4*h, -5*f - 2*h = -22 - 41. Solve -c = -12*c + f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foyfoqyqrqyrofwfqw. Give prob of picking 2 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-91)\/104)\/(2 + 51\/(-24)). Solve 3*f = -3, -2*f = 2*g - a*f - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/3 (c) 53\/4 (d) -4 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/455)\/(((-100)\/2600)\/(7\/4))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*v - 109, -v + 2 = -b - 26. Suppose 2*q = q + 19. Let c = v - q. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206936 equal to 206937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -220*w**2 + 1192*w + 26432 = 0.\nAnswer: -472\/55, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4545*k = -4538*k + 5*p + 26, 5*k - 3*p = 34 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 3236?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -58.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/6)\/(2*(-5)\/30). Suppose 2*p + 2 = r. Suppose p*h - 94 = 76. Which is bigger: h or -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by -1933\nAnswer: -188\/1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 41 + 58 = 20*s. Let w(p) be the first derivative of 0*p**2 - 12 + 1\/42*p**6 - 1\/28*p**4 - 2\/35*p**5 + 2\/21*p**s + 0*p. Factor w(v).\nAnswer: v**2*(v - 2)*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1155)\/(-308))\/(119\/(-2380))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 1, m: 3, d: 5}. What is prob of picking 2 d and 1 y?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**4 + 678*x**2 + 253*x + 1. Let a(n) = -2*n**4 - 338*n**2 - 126*n - 1. Let s(u) = -7*a(u) - 4*c(u). What is the second derivative of s(y) wrt y?\nAnswer: 24*y**2 - 692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 0*w = w + 2021, 0 = -o + w + 405. What are the prime factors of o?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 2*y + y + ((-5 + 1 + 2)*(y + 4 - 4) + 3*y - 6*y + 4*y)*(1 - 5 + 2) + 7*y - 10*y + 42*y.\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 213, 212, 211?\n\"Answer: -t + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3267957 and -62\/2023021.\nAnswer: 42483441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(220)\/(sqrt(4) + (sqrt(4) - -1*sqrt(4)))) + sqrt(4455)*1)\/(-6*(-5*1*sqrt(5) + sqrt(45)*-3))*1.\nAnswer: 29*sqrt(11)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*s - 14 = -332 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 6. Let k = -3064.3 + 3064. Which is the fourth smallest value? (a) z (b) 0.3 (c) -3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l**2. Let i(j) = 11*j. Let v(c) = 2*c. Let k(x) = i(x) - 6*v(x). What is d(k(u))?\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -15, -12, 7, 48, 117, 220?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-9))**(-17))**(-23) assuming y is positive.\nAnswer: y**(-3128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24353910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 4914889?\nAnswer: -5\/4914889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10435 divided by 2087?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9780 and 165.\nAnswer: 107580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1542312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00084992002 to 5 dps.\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 0 + 4 + -2 + sqrt(6)\/sqrt(2).\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237823596 divided by 59455899?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 49 + 127 = 0. Let i be 0 + 2 - (0 - -1). Suppose -i = m - c. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - 44?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*k, 3*c + 3*k - 32 = 7. Suppose 49*y - 13*y + 1260 = 0. Let t be (3 - 7\/(-1))*(-28)\/y. Is t != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -542, -1303, -2378, -3773, -5494?\nAnswer: -7547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 586839 or 586838?\nAnswer: 586839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20589.1ml to litres.\nAnswer: 20.5891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 33. Suppose 3461*h = 3449*h + 192. What is the smallest common multiple of h and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m - 18. Let k(v) = -15*v + 17. Let d(g) = 6*k(g) + 5*w(g). Let t be d(1). What is the units digit of (-1)\/((-76)\/644*17 + t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.433838 to 2 dps.\nAnswer: -9.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*w + 2237 = -1263 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33\/2 (b) -23 (c) 24\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 472*k**2 + 419*k**2 + 410*k**2 - 1291*k**2. Let w(s) = -13*s. Let r(n) = 209*n. Let a(g) = -2*r(g) - 33*w(g). What is a(u(i))?\nAnswer: 110*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 + 176. Which is the closest to w? (a) -4 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286.936 take away 22842083?\nAnswer: -22842369.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 2)*(-2*k + k - k + (15*k + 7*k + 0*k)*(3 - 5 - 2))*(-k**2 - 3*k + 3*k) to x + j*k + g*k**2 + h*k**3 and give h.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1764 divided by 147?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 5*q + 3. Let v be 1\/3 + 87\/9. Let g = -5 + v. Let u be i(g). Solve 0 = -u*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2226107cm in meters?\nAnswer: 0.002226107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(sqrt(1600) + sqrt(1600) + sqrt(1600)*1 + sqrt(1600) + sqrt(1600)))\/((sqrt(128)\/(sqrt(4)*-2 + sqrt(4)))\/(sqrt(196)*-1 + sqrt(4))).\nAnswer: -2400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -14. Suppose 0 = -u + b + s + 2, -4*u + 5*b + 17 = 0. Let l(x) = -4444*x**2 - x - 1. Let p be l(u). Round p to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*((-1)\/1 + 0). Let q be (h\/(-12))\/(2\/(-12)). Let t(f) = 3*f + 1. What is the remainder when 28 is divided by t(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*245.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 11:49 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8901540.\nAnswer: 2, 3, 5, 17, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/((-6)\/((-72)\/(-12)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from ggddddg?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 533, 801, 1069, 1337?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 - (-143)\/13 - -35. Which is the closest to 6? (a) -2\/5 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10779 + -779?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 13.3. Suppose 33 = 3*m + 6*h, 126*h + 8 = m + 127*h. Let n = -4 - -4. Which is the closest to n? (a) u (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 14. Let p = 8 - z. Suppose 0 = -a + p + 4. Solve 0 = -0*d + 4*d - a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, y: 2, h: 2}. What is prob of sequence thh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 + 84*l**4 + 372*l**3 + 642*l**2 + 489*l + 138.\nAnswer: 3*(l + 1)**3*(l + 2)*(l + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 + -185. Let p = -129 + l. Which is greater: p or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**5\/4 + 41*r**4\/4 - 136*r**3 + 518*r**2 + 980*r - 1372 = 0?\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -46722 and -46722 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + 4*sqrt(11) - sqrt(891)*3 - (-4*3*sqrt(99) + sqrt(99) + 1)))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 5?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 + 3*n + 8. Calculate d(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + t + 1. Suppose -4*r - 7 = -3. Let c be i(r). Let y(p) be the third derivative of -p**5\/30 - p**4\/24 + p**3\/3 - 26531*p**2. What is y(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m + 3. Let l = 9 + -9. Let g(q) = q**3 + q**2 - q + 1. Let j be g(l). What is the greatest common factor of j and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*l = -13, -4*l - 8 - 9 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*c - 9. Suppose 10*l - 100 - 20 = 0. Let p(t) = -l*t - 11*t - 11*t + 33*t. Calculate p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -32. Suppose 0 = -f - 5*t - 4, -3*t - 76 = -n*f - 4*t. Factor 3*j - f - 11*j + 6*j - 4*j**2 - 14*j.\nAnswer: -4*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*-4*(-1 + sqrt(468)))**2.\nAnswer: -4080*sqrt(13) + 187489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 17*k**2 + 43*k + 5. What is m(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -22 (b) -16 (c) -275\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 19 = 5*n - 5*m, 3*n + m - 23 = 0. Let k be ((-4)\/n)\/1*3. Do k and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055*k + 13233*k - 685824 = 0 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -5*v**3\/3 + 31*v**2\/2 + 4*v + 3. Let y be i(4). Let g(b) = b**2 + 10*b + 8. Give g(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121459250 to the power of 1\/2, to the nearest integer?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-5) - (-2)\/(-5). Suppose j = 3*j - 4. Let n be (-126)\/45 - j\/10. Is n at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -42?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/27 of a day in seconds?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d*k**2 - 7*d*k - k**3 - 6*k**2 - 124*k + 1 wrt k?\nAnswer: -4*d - 6*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -82588.778*3\nAnswer: -247766.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o - 8. Suppose 0*y + 3*y = -18. Let l be f(y). Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2838\/20898*12\/110.\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, -5, 3, -4 in decreasing order.\nAnswer: 102, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2439 - 2418. Solve -67*i - 3 = -2*f - 68*i, 5*i = -4*f + h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (8 - 27) - -36\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 + -133. Sort 4, 0, 16, b in decreasing order.\nAnswer: 16, 4, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75694819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15357.8 - 15360. What is the smallest value in m, 0.3, -5, -1\/4, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(2500)*-1 - sqrt(2500))\/(sqrt(20)\/(3*sqrt(100))).\nAnswer: -750*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76.76 - 80. Let t = v - -0.24. Put t, 7, 0.2 in descending order.\nAnswer: 7, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1592 = -17*b + 25*b. Is b < -198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 205 - 202. Suppose g*d - 12*b - 48 = -16*b, 80 = 5*d + b. Calculate the greatest common factor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 33. Suppose p*y - 1 - 3 = b, -5*y = -3*b + 38. Let t(m) = -3*m + 9*m + b*m**2 + m**3 - 51*m**2 + 23*m**2 + 6. Determine t(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50778039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -11 - 17 - (11 - 4)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51146*q - 21 = -51158*q + 39 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9030, 9038, 9046?\nAnswer: 9054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7819561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -153, -2, 0, 50 in descending order.\nAnswer: 50, 0.4, 0, -2, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132877691?\nAnswer: 132877691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3612 - 564. List the prime factors of u.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54943788 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 111*h - 4065. What is p(-24)?\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 39. Suppose h*g - 4*g + 4*k = 701, 3*k = -4*g + 944. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m**(-2\/3)*m))\/m)**(-19)*m\/m**(-3\/4)*m\/(m*(m*m*m\/(m\/((m*m**1*m)\/m)))\/m))**44)**(3\/35) assuming m is positive.\nAnswer: m**(3179\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -9*w - 4*r - 19, 0 = -3*r - 12 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110 (base 2) to base 4.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 65 = -0*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1133 = -15*u + 217. What is the highest common divisor of 495 and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -39*x + 1596, 512425*x - 512421*x - 2*y = 166 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f - 2 = 0. Let a be (f\/2)\/(9\/(-18)). What is the nearest to 0.1 in 2, -1\/4, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18.8 + -117.8. What is the nearest to a in -2\/9, -3\/2, 0.3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56064 smaller than 56054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*t = 5*t - 17, 4*t = 12. Let r = z - 9. What is the units digit of (-780)\/(-75) - r\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-18))\/(-1 - 0). Which is the second biggest value? (a) 2 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 16 = 202*q - 203*q - 66, -70*q = 4*s + 584 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120210 - 4204424?\nAnswer: -4330134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3530?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7370034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(3*g**3 - 3*g + 3*g) + 10*g**3 - 11*g**3 + 12*g**2 + 37*g**2 to the form x + t*g + b*g**3 + s*g**2 and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 48 + 2*k - 3*k - 8 + 1 + 10. Give a(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/7)\/((-12*(-11)\/(-693))\/((-12)\/(-9))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9522 = -4*r + 1074. Let k be 8\/(-20) + r\/(-15). Let y = -104 - k. What are the prime factors of y?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1204 and 504?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-29645)*-420)\/((-4)\/(-14)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 446*v**3 + 4*v**2 - 3*v + 14. Is o(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 2*q**3 + 15*q**3)*(-4*q**2 + 2*q**2 + 0*q + q).\nAnswer: -28*q**5 + 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 483464, 483635, 483806?\nAnswer: 483977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d)**(2\/117)\/(d**(2\/7))**(5\/7) assuming d is positive.\nAnswer: d**(-292\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/1*(-3 - 0). Suppose -j = -7*g + 4*g. Is g > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4321113 + 0?\nAnswer: -4321113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 9:44 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*u = 150, 3*h = -2*h - u + 158. Let d be (21\/(-2))\/(24\/h). Let q be (-46375)\/d*(-24)\/5. What is q rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/8, 27\/9671, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2825 - 2827. What is the nearest to 0.3 in 3, s, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 0*c + 44 - 64 = 5*r, -12*c - 48 = -5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/52)\/(27\/(-18))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + -1.4. Let x = -2 - -1.9. What is the closest to x in 0.2, w, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-15))\/(396\/495)*(-2)\/14. Let t = -3 + 4. Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2)\/(28\/(-6272)*-80).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. What is t(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttnnzhnttnrznzzz. Give prob of sequence zt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.6 - -21.5. Let w = 230871151\/335 + -689167. Let x = -1\/67 + w. Which is the nearest to l? (a) x (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -3*w**4\/4 - 206*w. Let j(t) = -t**2 - 3*t - 3. Let r(v) = -2*v - 2. Let q(z) = -2*j(z) + 3*r(z). Determine q(b(h)).\nAnswer: 162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-23))**(-40)*(i**(-11)\/(i*(i\/(i\/(i*i\/i**(-2\/19)*i)))\/i))**(2\/51) assuming i is positive.\nAnswer: i**(-536\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 291405 to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41840066 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 30. Let a be x(8). What is the common denominator of (-4)\/(-14) - (-14)\/(-4) and (a - (14\/4 + -2))\/9?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1252702037 to the nearest integer?\nAnswer: 35394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54516.251 + 128.749. Let m = f + -54644.760088. Let h = -0.24 + m. Round h to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1188705599.\nAnswer: 491, 2420989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-4))\/(760\/912). Solve -2*p - s = 4*s + 13, 0 = p + g*s + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2101242 (base 5) to base 3\nAnswer: 1202102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*o + 3264 = -425*o + 203*o for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 7*i**2 - 1\/3*i**3 + 0*i - 1\/6*i**4 + 0. Differentiate r(j) with respect to j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - 1 - (-1300)\/200. Suppose 3*o = -a + 2*a + 375, 5*o - c*a - 625 = 0. What is the remainder when o is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*l + 405*l + 111*l = -9548 for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**3 - h**3 + 25*h**2 - 35*h**2 - 4*h + 16*h**2 + 3*h**3 to the form m*h**3 + f + w*h**2 + c*h and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g + 3*g**2 + 4*g - 3*g + 3 + g.\nAnswer: 3*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + -4 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sffflsssslflslpl. Give prob of picking 4 s.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 113?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -a53 (base 12) in base 8?\nAnswer: -2737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135 - 118 - 20 + 3 + 10*d**2 - 6*d.\nAnswer: 10*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 7*i - 8. Let r be s(-5). What are the prime factors of 201\/r*60\/45?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 6 - (1 - 0) - (6 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-376))\/(891\/54 - 15)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5122 (base 6) in base 5?\nAnswer: 14010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 22 (c) -1\/4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + 2. Let k(o) = o**2 + 4*o - 6. Let q be k(-5). Let l be q - (y\/(-1))\/5. Solve 15 = -2*i - v + l*v, i - v + 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -41, -58, -71, -80?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 9*m - 13. Determine v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 5. Suppose -x = 2*v - 0*v - 6, 2*x = -3*v + 7. Calculate j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6861731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -190978653*-1\nAnswer: 190978653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -21. Suppose 5*a + q = 1222, -724 = -7*a + 4*a + t*q. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -738 + 717 - p**3 - 3*p + 14*p - 19*p**2. List the prime factors of d(-20).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -88\/3. Which is the nearest to 2\/3? (a) 4\/7 (b) i (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 + 698. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 232200 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-810)\/(-24975)*-37*(-5)\/70.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, a: 4, x: 1, y: 5, g: 6}. Give prob of sequence qyga.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*s**2 - 17*s**3 - 146 + 146 wrt s.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 - 11 + 0*s**3 + 14 + 6*s**2. Let v be o(-4). Solve l - 7 = -v*n - 3*l, -n + l = 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3*d**4 + 4*d**3\/3 + 4*d**2 + 14. Determine z so that i(z) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.4 (c) -2\/77 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - w**4)*(-24*w + 46*w - 8*w)*(2 - 2 - 2).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*r + r**2 - 885*r**3 - 210*r + 245*r**3.\nAnswer: -640*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -380*f - 93. Let m(v) = 17*v. Determine m(c(a)).\nAnswer: -6460*a - 1581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5\/5 - 978*d**4\/5 - 48057*d**3\/5 - 47082*d**2\/5 = 0. Calculate d.\nAnswer: -266, -59, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2720.9 + -2613. Let g = -108 + z. Sort g, 0.08, -4, -2\/3 in descending order.\nAnswer: 0.08, g, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u. Let v(m) = u*m + 6*m - 2*m. Let c(i) be the third derivative of i**5\/60 - 39*i**2. Determine v(c(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 849695 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444375 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g + 2. Let y be 9\/3 - (g - 2). Suppose -10 = -y*a + 2. Solve f = -f - a for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*i + 36470 = 0, -193*i = -191*i + 10. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (-4 - (-6)\/(-2)). Suppose -4*n = -g*k - 6, 2*n + 2*k - 30 = -3*n. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9521534*l**2 - 2681172*l**2 + 3637225*l**2.\nAnswer: 10477587*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 769238629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -5. Let q(c) = 7*c**2 + 4*c + 6. Let x(j) = -6*j**2 - 4*j - 5. Let f(g) = d*q(g) - 6*x(g). Let p be -1 + 0 + -7 + 12\/4. Calculate f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + -75. Let u = 241 - q. What is the nearest to 1\/4 in -2, -1\/11, u?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -4, -6, 2 in decreasing order.\nAnswer: 2, -4, -6, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + 1)*(-2 + 1). Calculate the lowest common multiple of i\/26 + 42\/4 and (-2)\/(8\/(-52)) - 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14977241 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Which is the third biggest value? (a) s (b) -1\/3 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-120)*(0 + 1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04602006 rounded to three decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-2) + (112\/192)\/((-91)\/(-78)). Suppose 0*b + 8 = -4*b. Let i(v) = v**3 - 7*v**2 + 7*v - 7. Let w be i(6). Put q, b, w in decreasing order.\nAnswer: q, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**5 + 693*p**4 - 45261*p**3 + 583899*p**2.\nAnswer: -3*p**2*(p - 107)**2*(p - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13014, -13150, -13286, -13422, -13558?\nAnswer: -13694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6012*b**3*h - 4*b**2*h + 55*b - 9*h wrt b?\nAnswer: -36072*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 836873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1293*j - 1282*j - 242 = 0. Put 3, -9, j, -4, 6 in ascending order.\nAnswer: -9, -4, 3, 6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.5 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2719904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -13 - (2 + 17 + -12 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-455 + 5*j + 488 + 0*j)*(-2 - j**2 + 2) as g*j**2 + r*j + d*j**3 + x and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 - 7475*h**4 - 14915*h**3 + 22395*h**2 = 0 for h.\nAnswer: -1493, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 105, 866, 2273, 4326, 7025?\n\"Answer: 323*v**2 - 208*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1629 + 4614. What are the prime factors of j?\nAnswer: 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7))**1 assuming s is positive.\nAnswer: s**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffs when three letters picked without replacement from {f: 2, s: 4, h: 3}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1771 divide 142850975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/21 - (-3152)\/6. Let c be (-6)\/(1 + 2) + a. Is c\/9 + 8\/(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 0.00330858?\nAnswer: 0.03639438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 37 + h - h**3 + 7*h - 7249188*h**2 + 7249197*h**2. Calculate r(9).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-56 - -18) - -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 701 - 714 = 2*l, -31 = -2*t + 10*l - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 188?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -3*v**8\/112 + 3*v**4\/8 + 5*v**2 + 10. Let k(p) be the second derivative of l(p). Find the second derivative of k(r) wrt r.\nAnswer: -180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3170 - -13063. Let b be o\/7 + (-4)\/14. Let c = b - 4294\/3. Calculate the common denominator of -28\/33 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(208) - (1*sqrt(208) + sqrt(208))) + sqrt(1573) + 0 + sqrt(1573) + sqrt(208)*6)**2.\nAnswer: 15028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*h - 34 = -14, -2*t + 30 = 4*h for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1604468 and 213564?\nAnswer: 5476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1664742 + -1664588. Let a = 311 + -179. What is the highest common factor of j and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 30 - 2*p + 35 - 134 + 33.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5829716 a multiple of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.49 and -0.3.\nAnswer: -1.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27933 divided by -11\nAnswer: 27933\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 26?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -551*d - 556*d - 425*d + 1532*d + 2 - 151*d**3.\nAnswer: -151*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*b + n = 75*b + 80, -3*b = -3*n - 9 - 36 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473*u = 4809 + 2972 + 2625 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19773.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/7, 2\/5, -0.06.\nAnswer: -0.5, -3\/7, -0.06, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2. Let w(c) = c**2 + 13971*c - 3. Give w(g(i)).\nAnswer: 9*i**4 + 41913*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 43659.00065 + -43661. Let b = i + 2. What is b rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1213 = q - 87. Suppose 12*f - 7*f - q = 0. Suppose -353 = -5*v - 0*d + 2*d, -4*d + f = 4*v. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59842*f**4*u - 1421*f**2*u - 5*f*u - 1 wrt f?\nAnswer: -1436208*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -11.5. Let o = -7 + 3. Let n = i - o. What is the third smallest value in n, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a = 9*a - 7. Is 61 a factor of (-21 - -25) + a*3 + 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 285 - 187. Let f = 177 - y. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 9103140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:41 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 30*f**2 + 141*f + 87. What is u(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -206, -431, -734, -1109?\n\"Answer: u**3 - 48*u**2 - 4*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 516 and 28?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.93 and 0.015.\nAnswer: -0.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-683957\nAnswer: -683957.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 137. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 25. Let g be k(-13). Let j be -4 - g\/((-3)\/48). Calculate the highest common factor of 60 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 20087*w - 191. Is l(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 4*m + 4*m)*(-6 + 5 - 2)*(-1 - 1 - 2 + (-3 - 1 + 6)*((-1 + 2 - 4)*(2 + 2 - 1) + 1 + 6 - 4)) to i + q*m and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - 1000101001?\nAnswer: -1001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -108. Sort -4, 17, i in increasing order.\nAnswer: -4, i, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47496, 94490, 141480, 188466, 235448, 282426, 329400?\nAnswer: 376370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -11\/2*v**2 - 17 - 4*v - 4*v**3. Let u(o) be the first derivative of w(o). Find the first derivative of u(d) wrt d.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/47 + 41\/141. Let l = 4 - 1. Which is the third smallest value? (a) l (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.39 + -0.11. Let p = 0 + y. Let w be 2\/6*(-18)\/6. Which is the nearest to w? (a) 3\/2 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - 2. Let x = -8 - h. Find the third derivative of -b**4 - 3*b**x + 2*b**4 - 3*b**3 + 3*b**3 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 3*b**2 + 4*b + 14. Let j be g(0). Are j and 21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/((-12)\/9). Let p = -4 + 4.1. Let o = -0.2 + p. Which is the third biggest value? (a) x (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(114) - sqrt(114)*2)*4)\/(-6*sqrt(96)) - -6*(2*(sqrt(19) + -2*sqrt(19)) + (sqrt(19) - (sqrt(190)*2)\/sqrt(10))))**2.\nAnswer: 217531\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-644)\/28 + 33\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 15*a**2 - 221*a - 50. Calculate r(-8).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 30, 50?\n\"Answer: 20*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, 0.2, -9, 0.5?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/159160 and 43\/5520.\nAnswer: 954960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56784.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3622 divided by -224?\nAnswer: 1811\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37280 is divided by 74?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 3*n**2 + 50*n - 34. Let w be h(-9). What is the second smallest value in -9\/2, w, 33?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68476, -68496, -68516, -68536?\n\"Answer: -20*w - 68456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 5. What is the smallest common multiple of 60 and t(9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62258879 to the power of 1\/2, to the nearest integer?\nAnswer: 7890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 49199*w + 1623517. Give q(-33).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2446603 is divided by 1420.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 2*g - 441. Suppose -159 - g = -4*o. Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3257 less than or equal to -9772\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 0.3, -0.376, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:02 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -149, -145, -139, -131?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a day in hours?\nAnswer: 258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(12\/(-4)))\/((-1)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, 1134, 4313, 10428, 20457, 35378?\nAnswer: 56169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -3\/5, 5, 3, -0.04.\nAnswer: -47, -3\/5, -0.04, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**2 - 633*q - 1265. Determine r(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1104.9472 to the nearest ten.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1046, 1040, 1038, 1046, 1070, 1116?\n\"Answer: h**3 - 4*h**2 - h + 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**10\/(w**8\/w) assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 27*i + 10. Let j be q(-6). Which is the second smallest value? (a) 2 (b) j (c) 0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**3 + 4*y**2 + 7*y - 2. Let p(c) be the first derivative of -c**4\/4 - c**2\/2 + c + 2. Let l(r) = b(r) + 3*p(r). Calculate l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*60.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -8411.36?\nAnswer: 2523.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -341, -518, -761?\nAnswer: -1070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8350 and 41416.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1199 and 109.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**5*r - 43*g**5 - g**2*r - 3261*g*r wrt g?\nAnswer: 80*g**3*r - 860*g**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 + -0.07. Let y be (-25 - 2) + 4929\/159. Which is the closest to 5? (a) g (b) 1\/2 (c) y (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 7*z**2 + 8*z - 3. Let d(p) = p**2 - 10*p + 13. Let c(x) = -x + 12. Let q be c(5). Let t be d(q). What is b(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/210 + (376\/120 - 3)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-7)\/(-28))\/(2\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 9 = -16. Let y(i) = 13*i - 42. Let t be y(b). Solve -5*d + 2 + t = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21790731, -43581527, -65372323?\nAnswer: -87163119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(-k + 2*k - 10*k) + 6 - 6 - 3*k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51636483 and 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 1271, 2823, 5031, 7895, 11415, 15591?\nAnswer: 20423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-116)\/1328*(-5600)\/35.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 13*u + 38. Let d be x(4). Solve c + 0 = -n - d, c = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*n + 409 + 688 - 215 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 34*n + 34. Give q(-32).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c - 3*y + 13, 4*c - 56 = 4*y. Let l = 16 - c. Let r = -0.607 + -4.393. What is the smallest value in r, -2, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3 + 3. Suppose -445 = -5*o - 4*u, 2*u = -3*o - y*o + 265. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 3277?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 470314, 940626, 1410934, 1881238?\n\"Answer: -2*w**2 + 470318*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.088 - -0.027. Let u = -0.496 - -0.42. Let z = u + h. Round z to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(2 - 3 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/6 (b) 0.4 (c) -3\/8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36\/2*(22\/22)\/(-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/5 (c) 77 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34.9677 - -35.2677. Let u = 0.3 - 0.1. Put c, 40, u, 0.4 in increasing order.\nAnswer: u, c, 0.4, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*h - 0*u + 108, 0 = 3*h + u - 166. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 10. Let g be b(0). Let k be (144\/g)\/((-1)\/1875). What is k rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(147) - (-2 + sqrt(147) + 0))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 0*x**2 - x + 0 + 0*x**3 - 1\/110*x**5 + 2\/33*x**4. Factor u(f).\nAnswer: -2*f**2*(f - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 966*w**2 - 6750*w + 59355. Calculate r(-973).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d05 - 5d?\nAnswer: -d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000021075 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 2*m**3\/3 + 10*m**2 - 192*m - 656. Suppose n(d) = 0. Calculate d.\nAnswer: -16, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**7\/70 + i**6\/20 - i**4\/4 + i**3\/2 + i**2 - 5. Let m(v) be the second derivative of a(v). Suppose m(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1.6\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2786 - -2786.4. What is the second smallest value in -4, 233, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7648\/67 - -16876255\/147869. Calculate the common denominator of 41\/9 and a.\nAnswer: 19863","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*(-4)\/8*-5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.00602 + 11. Round u to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-100)\/350*(36 - 1)\/(5\/(-5)). Solve -m*g = -24*g + 42 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**(3\/32)\/(v**(3\/8)*v**4) assuming v is positive.\nAnswer: v**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t + t - 8*t)*(7 + 2*t - 7)*(-3*t + 4*t - 2*t) + (4*t**2 + t**2 + 0*t**2)*(-4*t + 4*t + t) in the form q*t + j + u*t**3 + d*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247 + -2225\/9. Let a(b) = b**2 + 9*b + 3. Let w be a(-8). Suppose 0 = -0*c - c. What is the third smallest value in w, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295683500 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0 - 6. Suppose -s = 1, -4*m + m + 632 = -i*s. Suppose -246 = -3*b + 4*z, -5*b + m + 226 = 2*z. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4.6, 0.3, -5, 5, -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -56, 1944, 26, 2.\nAnswer: -56, -3, 2, 26, 1944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -3*b - 3*r, 7*b - 108 = 3*b + 4*r. Calculate the lowest common multiple of 14 and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1333 - -6?\nAnswer: 1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 6*w + 6931. Let x be 1\/4*0\/(-28). Is u(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.572857 rounded to 2 decimal places?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/2)\/((-17)\/408). Solve -2*q - o = -6*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, 16, 4, 11.\nAnswer: -2, 0, 3, 4, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 2*j**2 + 0*j**2 - j - 16*j**2 - 7 - 7*j. Let o be x(-13). Let s = o + 103. Does 31 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/6)\/((-9)\/60). Let m = 43 + w. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -134755, -538869, -1212393, -2155327?\n\"Answer: -134705*y**2 + y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 9*m + 4. Let d(v) = 8 + v**2 - 2*v**m - 8. Let p(n) = 5*n**2. Calculate p(d(j)).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2 + 8\/4. Suppose -v*b + 2 = -5*b. Does -2\/71 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301846 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(2\/93)))\/c**(2\/87)*(c\/c**4)**(1\/24) assuming c is positive.\nAnswer: c**(5973\/7192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -229*z + 232*z. Let y(p) = p**2 - 10*p - 6. What is the least common multiple of 22 and y(z)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 428, 859, 1292, 1727, 2164, 2603, 3044?\n\"Answer: n**2 + 428*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 0. Let b be (4 - -80)*(-1)\/1. Let i = -78 - b. Is i > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 821*b**2 + 42*b + 45. Is w(-6) a multiple of 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -76*m - 8. Let f(d) = -37*d - 3. Give -5*f(h) + 2*s(h).\nAnswer: 33*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)\/(r**(-5)*r))**(17\/3)\/((r\/r**0*r)\/(r\/r**(-3)))**(5\/9) assuming r is positive.\nAnswer: r**(-194\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9 - 4*g - g**2 + 9*g**2 - 2*g**2 + g**2 + g**3. Give m(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -326 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = -h + 80, -5*v - 392 = -3*h. What is the smallest common multiple of 16 and h?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 479395 in 2\/7, -5, -2\/9, 32\/7?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 17, z: 2}. What is prob of sequence eze?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -376.1 + 374. Which is the closest to -1\/8? (a) -0.1 (b) 0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 1, c: 3, d: 1, z: 2, q: 3}. What is prob of sequence qz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 215 = -1995. Suppose 2*h - 344 = -2*f, -4*f + 2*h + 848 = 178. Which is greater: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3\/(u*u**(-11)))\/(((u\/(((u*u**(1\/12)*u)\/u*u)\/u))\/u)\/(u**(-2\/25)\/u)) assuming u is positive.\nAnswer: u**(3901\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 168, 194, 220, 246, 272, 298?\n\"Answer: 26*n + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31114113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42688616189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 2*g - 7*g - 159, -2*g = z - 30. What is the remainder when z is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/6*312\/(-728)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2205)\/(-36))\/35 + (-3)\/4. Sort h, -3, -4, -5.\nAnswer: -5, -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-9)\/(-9639)*7). What is the greatest common factor of q and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.984 times 0.6?\nAnswer: 10.7904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -6. Let z be 3\/(-12) + m\/8. Suppose -3*i + 15 = 3*q, 0 = -3*i - 5*q - 4 + 15. Put -2, z, i in descending order.\nAnswer: i, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 7 - ((14 - 8) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(3 + 3). Let s = -1 - r. Let x(i) = -4*i**3 - 3*i**2 + 3*i + 3. Let w(m) = -3*m**3 - 2*m**2 + 2*m + 2. Let j(h) = -3*w(h) + 2*x(h). Give j(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzs when four letters picked without replacement from qszszzzzzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 344.7.\nAnswer: -345.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2311242 + 20?\nAnswer: -2311222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2207488 and 208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/9))\/v)**22*(v**13*v)\/(v*v**(1\/4)) assuming v is positive.\nAnswer: v**(547\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 2*l + 7*l)*(l + 2*l - 5*l) - 2*l**2 + 2*l - 2*l - 2*l.\nAnswer: -4*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)*s)\/(s\/((s*s**(1\/7)\/s*s)\/s)))**(14\/3)\/((s\/s**(-2))\/(s**4*s)*s*s\/(s**(2\/9)*s)*s*s**(-2)) assuming s is positive.\nAnswer: s**(-310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*2 + 13\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a week in hours?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 85*t**3\/3 - 24*t**2 - t - 102. Find the second derivative of g(h) wrt h.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 5)*(4 - 2 - 571363*v**4 + 571286*v**4) as h*v + i + d*v**3 + y*v**2 + p*v**4 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 164 + -165. Which is the nearest to p? (a) 7 (b) -3 (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:09 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 823*r**5 + 2*r - 508.\nAnswer: 16460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) 0.2 (c) 0.3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 4*z**2 + z - 5. Let o be q(4). Let c(f) = -7*f**3 - f**2 + f + 1. What is the units digit of c(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.379775182 and 5.\nAnswer: 5.379775182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 7 = 2*x. Let y = x - 34. Put -9, 4, y in increasing order.\nAnswer: -9, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32068 is divided by 294.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 + 82. Let g be u\/(-6) - 4\/(-6). Suppose -3 = -2*j - t, -5*j + 0*j = -4*t + g. Solve m + 2*y + 3 + 3 = j, 12 = -5*m - 4*y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 342 - -247. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.631 (b) -2\/9 (c) 3.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -135*y**2 - 2*y + 104?\nAnswer: -270*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**2 - 13*t + 43. Let u = -352 - -364. Is r(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 4*v - 2, -v - 6480 = 4*f - 6473 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**3*l**2*q + 3*k**3*l*q - 6*k*q - 101*k + 7202*l**2*q + 15*l**2 - 50*l*q - 1 wrt l?\nAnswer: -18*k**3*q + 14404*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/15138228 and 21\/169616.\nAnswer: 60552912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*k = -12, 0 = -2*j - 0*k + 4*k + 16. Let q be 2\/(-2 - -4)*3. Suppose -10 = -q*l - 2*l + 3*v, 3*l = 2*v + 6. Solve 3*w + l*w + 20 = j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208735 and 166988.\nAnswer: 834940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.06, 5\/2, -1, -8, -3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/6345 and -94\/3887295.\nAnswer: 1644325785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1075 - -2031. Let h = -64 - -45. Let y = x + h. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15747259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 151\/4?\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681 times -0.1?\nAnswer: -168.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8.46 and 1193858.1991?\nAnswer: 1193866.6591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116060 is divided by 2654?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 757121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/10640 and 5\/35416.\nAnswer: 2479120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -105, -392, -859, -1500, -2309, -3280, -4407, -5684?\n\"Answer: q**3 - 96*q**2 - 6*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -396 in ascending order.\nAnswer: -396, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-13 - 7)) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (0 - 18)) + (167 - 71)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 - 2*v + 2. Let a(g) = 13*g**2 + 7*g - 7. Let f(x) = 4*a(x) + 14*m(x). Let c(p) = 2*p**2. Determine c(f(s)).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 165, 146, 99, 18, -103, -270?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 1016 = 143*w, 38*w + f = 15*w + 24*w + 12 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.203436 weeks in minutes?\nAnswer: 92770.63488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37603, -71482, -105361, -139240, -173119, -206998?\nAnswer: -240877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/4 (b) 11\/574 (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 83 - 71. Let t be -3 + 2 + 3 - 0. Suppose -z = -0*z + 2, -4*g + t*z + 124 = 0. Calculate the greatest common factor of m and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(252) + sqrt(252) - sqrt(252)) - sqrt(252)) + -4*(sqrt(252) + sqrt(252)*1).\nAnswer: -78*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (4 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 68ddbe - -5?\nAnswer: 68ddc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5206 or 5170?\nAnswer: 5170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 - -60. Let u be m*-2*(-3)\/(-6). Solve -3*b + 4*v - u = 0, 4*b - 10 + 2 = -5*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323245 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/18 + 3*s**3 - 26*s**2\/3 + 10*s. Determine g, given that z(g) = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*h + 1 = 10, 2*a + 2*h - 14 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*k + 8 - 2 - 5)*(0 + 2 + 0) + (0 - 2 + 3)*(-5*k + 6*k - 2*k) + 3*k + k - 5*k.\nAnswer: 26*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {r: 4, b: 1, v: 3, c: 6}?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bopopbbbqpp. Give prob of picking 1 b, 1 p, and 2 o.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**2 + 296*c + 2871. Give b(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 12 = 5*r, 2*s - 2*r = 38. Suppose -s = 2*h - 53. Suppose -15 = -5*m - 0*m. Solve 2*j - m*j - h = 3*w, j = -5*w - 29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -1\/6*v**3 + 0 + 0*v + 39*v**2. Let s(g) = 2*g**2 + 8. Determine -5*j(w) - s(w).\nAnswer: -2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 392 + -391.9. What is the smallest value in -8\/5, 3, a?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80\/11 in -1, -3, -1\/7, -8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 24742*w + 160. List the prime factors of k(1).\nAnswer: 2, 12451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 + 14*f.\nAnswer: -2*f*(f - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1 - 2)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 3*n - 7, -3*j + 185*n - 189*n = -8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1212331120 (base 4) to base 15\nAnswer: -84e4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0*v**3 - v**2 + 0*v**4 - 1\/420*v**6 + 1\/735*v**7 + v + 0 + 0*v**5. Let f(r) be the first derivative of y(r). Factor f(u).\nAnswer: 2*u**3*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -99*k**2 + 7*k + 2. Let c be g(-3). Let i = 210 + -455\/2. Find the common denominator of i and -1 + 1 + c\/252.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 + -10002200201?\nAnswer: -10002122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r + 2 + 5\/2*r**2. Calculate j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232515.3t to milligrams.\nAnswer: 232515300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 3*t**2 - 191*t - 629. What is h(-14)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63954 = 24*h - 75*h. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 10. Let k = 0 + q. Let t(g) = g**3 + 6*g**2 - g - 7. Let f be t(k). Solve n - f = -u + 6*n, 0 = 5*n + 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14743891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 1. Let y(z) = 10*z + 18. Let r(b) = b**3 + 2*b**2 - 8*b - 17. Let k be r(-2). Give k*y(t) + 12*n(t).\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 n, and 1 q when three letters picked without replacement from sndsnussddsqssd.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255.516 + 240.5. What is m rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -460, -481, -504, -529, -556?\n\"Answer: -m**2 - 18*m - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159243888 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**5 + 2*f**4 - 9573*f**3 - 1310468*f**2 - 3?\nAnswer: 120*f**2 + 48*f - 57438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1141, -2531, -3921, -5311, -6701, -8091?\n\"Answer: -1390*y + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 4593, 15566, 36991, 72366?\nAnswer: 125189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + ((-16)\/(-4) - 2). Let k be 2\/(-40 - 0)*v. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*w + 55. Suppose 0 = -5*a - 6 + 1, 3*f - 2*a = 125. Calculate the remainder when f is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = m - 61, 0 = -3*z + 2*z + 4*m + 36. Suppose 0 = 5*n - 27*n + 44. What is the remainder when z is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -1\/18*u**4 + 0*u + 4\/3*u**3 - 1\/90*u**6 - 54*u**2 - 4\/45*u**5 + 0. Suppose n(s) = 0. Calculate s.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - 0) + 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -427, 87, 601, 1115, 1629?\n\"Answer: 514*q - 941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 110, 149, 226, 353?\nAnswer: 542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 6*d + 5 = 0. Let b(o) = 7*o + 1. Calculate b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17368772?\nAnswer: 2, 23, 188791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 minutes after 2:57 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is -871 greater than or equal to -7828\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3845*z - 9173*z = -299414 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 77.65063 milligrams?\nAnswer: 77650630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -176108760 divided by 17610876\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375035 to the power of 1\/2, to the nearest integer?\nAnswer: 1541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 k when four letters picked without replacement from {k: 5, w: 7}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10))\/((-3)\/7)*480\/(-420)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvfvvfvfvvvffvf. Give prob of picking 2 f and 2 v.\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -30354.67 less than 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24681838 or -24681834?\nAnswer: -24681838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 2. Let w be p(2). Suppose 2 + 4 = o + 2*d, w = -5*o + 2*d - 6. Solve 2*h + 3 + 7 = o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003014132 (base 5) in base 8?\nAnswer: 7504417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 - 172*a + 3625. Calculate b(38).\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2. Suppose -4*x = -5*x + l. Let z = 5 - x. Solve -z*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85 + 260. Suppose 2*i - 7*i + m = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12371, -49467, -111295, -197855, -309147?\nAnswer: -445171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 2, -1, 76, -6 in increasing order.\nAnswer: -10, -6, -2, -1, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -8*k + 6*k + 3*y, 15*k - 18*k - 3*y - 27 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1236*0.5.\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2982, 11966, 26940, 47904, 74858, 107802?\n\"Answer: 2995*t**2 - t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6260890 is divided by 118130.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2. Let p be ((-2)\/(-4))\/(11\/44). Let d(h) = 13*h**2 + 3*h**p + 10*h**2 + h**2. What is i(d(k))?\nAnswer: 1458*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 8*g - 3371 + 3406 = 0, 10 = -2*l + 4*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -26 + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 52\/((-18720)\/(-324))*-30\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*d**2 + 12*d**2 - 51*d**4 + 904 - 22*d**2 wrt d.\nAnswer: -204*d**3 + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 57 + 69. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676711.24 take away 104?\nAnswer: 2676607.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -68.5. Is h <= 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 3*q**2 - 2*q + 1. Suppose -5*b - 4 = 1. Let o(w) = 2*w - 1. Let k be o(b). What is the remainder when v(k) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -323*f - 11302. Determine g(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3042, -12214, -27518, -48954?\nAnswer: -76522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 522*m. Let w(b) = b**2. Determine l(w(j)).\nAnswer: 522*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20792.003461 - -20792. Round k to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173030026 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**2 - 19*b**2 + 4*b**4 + b**4 wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-1 + -3 + (-1 - 642)). Calculate the greatest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39397, -39376, -39359, -39346, -39337, -39332?\n\"Answer: -2*j**2 + 27*j - 39422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 2, m: 3, r: 5, p: 4}. Give prob of picking 2 m and 1 i.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -19.9475. Let d = -0.1 - -0.15. Let j = y + d. Round j to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/12 - 57\/18) + 915?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26235\/1333 - -613\/31. Let v be 2\/8 + (-3)\/(-4). Which is bigger: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.229 - 42.171. Let w = -8.4 - m. Let o = -33.999994 + w. What is o rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-13) - (-144)\/78. Let j(l) = 4*l - l - 3*l + b*l**2. Let f be 5\/(-7) + (-4)\/14. Determine j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)*k)**46*k**(1\/2)\/k**(-2\/7) assuming k is positive.\nAnswer: k**(-633\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/29 and -59\/106.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9*v + 16 = -2*a, 0 = -2*a - v + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -199. Let v = 7 - q. What is the units digit of (-2)\/(4 + v\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/(-4)*(-8904)\/294. Calculate the highest common divisor of 159 and w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.1, 4, 82?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1317 + 2068. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401849788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/(-248)*((-5)\/3)\/(-5)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2644799 is divided by 18625?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225 by 72370.\nAnswer: -45\/14474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4052 (base 6) to base 3.\nAnswer: -1020012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11434 - 4?\nAnswer: -11440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(1\/2)))\/(k*k\/(k\/k**(-3\/8))))\/(k\/(k*(k*k**(-1\/2))\/k))**23 assuming k is positive.\nAnswer: k**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -24, -3, -0.5, -1, 31, -5 in descending order.\nAnswer: 31, 5\/6, -0.5, -1, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.7 - 54. Let j = -0.1 + 0.1. What is the nearest to -0.1 in b, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 852*f - 15 - 4797*f as s*f + x and give s.\nAnswer: -3945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 + 47. Find the first derivative of -10 + 1 - 20*i - w wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -322.961 - 0.039. Let v = -327 - p. What is the third smallest value in -1\/15, v, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -19*q**2 - 323*q - 2. Let d(t) = t**3 + 32*t**2 + 646*t + 4. Give -3*d(v) - 5*u(v).\nAnswer: -3*v**3 - v**2 - 323*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, m: 3, d: 3, u: 2, j: 5}. What is prob of sequence mumm?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + ((-8 - 5) + 3 - (-24 + (34 - 22))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2*(sqrt(143) - -2*sqrt(143)))\/((sqrt(121)*-1)\/sqrt(11)).\nAnswer: -6*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 29512 - 15038 = 0. Does 45 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -45. What is the remainder when 34 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-68.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6738, -13474, -20212, -26952, -33694?\nAnswer: -40438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (412 - 513 + 385)*(104 - 104 - 90*s).\nAnswer: -25560*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 1. Let y = -1 + 0.7. What is the third smallest value in 2, m, y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5456, 23375, 53244, 95063?\n\"Answer: 5975*g**2 - 6*g - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/12 - 4*r**3\/3 + 4*r**2 - r. Suppose -2*w = -3*w + 6. Let p be c(w). Sort 2, p, 1 in descending order.\nAnswer: 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-9)*(5 + (-8 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 1\/27, 2\/5, 326?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 3*s - 16. Find the first derivative of f - 1 + s*f - 1 - 4*f wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/3*(-1 + 4). Suppose -c = 2*z + 59, -5*z = -4*c + 3*c + 137. Let d be (-832)\/(-56) - (7 + -3)\/z. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/2*(-2)\/12. Let s = -35 + 37. Which is the second biggest value? (a) -0.4 (b) 4 (c) x (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34148660 divided by 2.\nAnswer: -17074330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.06 + -0.06. Let z = 0 - q. Let b(i) = 220*i - 8363. Let a be b(38). What is the closest to z in 0, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(175) + -1)**2 + (sqrt(7) - (-1 + sqrt(7) + 0)**2 - sqrt(567)\/sqrt(9)).\nAnswer: -10*sqrt(7) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*v + 9477 = 127*v. Is v > -729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 7*m - 2. Let r be h(-3). Solve 12 = -4*s, -1 = -r*k + 2*k - 3*s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -562, -771, -1090, -1519, -2058, -2707?\nAnswer: -3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from vtxxvvxvxzxxxzxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -449, -690?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 14, 20, 30, 44, 62?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 20. Let m be k(0). Let d = m + 34. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**4\/2 - n**3\/3 - 7*n + 5. Let s(q) be the first derivative of g(q). Find the second derivative of s(t) wrt t.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + sqrt(11) + -2) + 1.\nAnswer: -10*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59437 is divided by 257?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 - 286*z - 134. Determine u(-31).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1474 = 14*t - 12*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1827\nAnswer: -4\/1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) + sqrt(4)\/sqrt(2))*1 - (4*sqrt(8)\/sqrt(4))**2) + 4)*2.\nAnswer: -56 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5*n + 1\/3*n**3 - 208 - n**2. Determine c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24801 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 84599 + 338113 + 63540 = 0. List the prime factors of y.\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 69 = -5*b - 36, -2*b = -2*t + 54. Calculate the greatest common factor of t and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30694081 and 4544.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 68145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392058\/(-230)*(-1 - 14\/6).\nAnswer: 2, 3, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.251 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -1.42 (c) -1.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/12 + v**4\/24 + v**3\/6 - v**2. What are the prime factors of u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000163 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1835 divide 10956785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 3. Let v(p) = p - 2. Let s be v(-1). Determine k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 + -102. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 1. Let q be 3 - (-12)\/(0 + -2). What is the units digit of m(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 77, -3, 3 in descending order.\nAnswer: 77, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 134 + -137. Does 61 divide -1*(h - 1*352)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11055 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/4 + (-1)\/(-2). Suppose 0*m - 39 = -5*w + 2*m, w + 3 = 4*m. Suppose -q = v - w. Solve 3*x - 4*z + 1 = q, -25 = -2*x - 5*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 6. What is the units digit of (-20)\/u*14\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 3*y**2 - 2*y + 3. Let r be u(-3). Suppose r = 5*k - 2*k. Suppose -k*f = 2*f - 105. What is the remainder when f is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/120 and 61\/39.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 times -0.06?\nAnswer: 0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8757673?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v**2 - 4 + 21*v**2 - 6*v**2 + 5*v. Suppose -5*z - 21 = 14. Is 10 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -920795*h + 18232123 with respect to h.\nAnswer: -920795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 + 0.04. Let g = 3.92 + -5.92. Let r be 0*1\/2 - 3. What is the closest to -1 in r, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/20269735 or 0?\nAnswer: -1\/20269735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -0*c + 13*c - 89 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -150*r**5 - 10*r**2 + 10*r wrt r.\nAnswer: -9000*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000123535845 rounded to seven dps?\nAnswer: 0.0001235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8790)\/1172*12\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - x + 1. Let b(j) = 38*j**3 + 8*j**2 + 142*j + 8. Let s(k) = -b(k) + 8*y(k). What is the second derivative of s(i) wrt i?\nAnswer: -228*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -0*o - 28. Solve o = -2*t - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 32 = 4*i, 61*i - 66*i + 35 = 0. Which is the closest to -15\/2? (a) 4\/3 (b) y (c) 0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14286 is divided by 264.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = 0, -d + 4 = -x - 6*d. Calculate the highest common divisor of 492 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + -1. Let b be 10\/((a\/(-20))\/2). Let c = b + 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 3 + ((-9)\/(-12))\/(8\/64)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*a - 2 = 248 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = 3*q + 4*t + 167, 12 = -2*q + 2*t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14)*(739585\/(-165))\/113\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 5538.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 1675179?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 8953014.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -2*h - 3*w + 18, 2*h + 10 = 4*w. Let c(z) = -z + 15. Let f be c(9). Suppose -f*d = -5 - 7. Solve o + h = -2*u, 2*u - u - d = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -27\/4*y**4 + y - 13\/3*y**3 + 0*y**2 + 2\/5*y**5 + 52. Find the third derivative of u(l) wrt l.\nAnswer: 48*l - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(2*1*sqrt(304) + sqrt(304) + 0)**2.\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 7*d**2 + 2*d. Let f be p(-7). Let y be 26\/7 - f\/49. Let w = 2234\/9 - 248. Which is the closest to y? (a) w (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, h: 6, l: 3}. Give prob of picking 2 h and 2 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - -10 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 3*r + 8*r - 2*r. Let q(g) = 47*g**2 - 3. Give q(u(b)).\nAnswer: 188*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -269, -286, -305, -326, -349, -374, -401?\n\"Answer: -k**2 - 14*k - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 104 = 5*t + 2*m, -1268*m - 40 = 5*t - 1273*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5 = -4*w - 3, 0 = -4*w + 2*t + 8. Let z be ((-1)\/2)\/(w + 6). Let q = -1.2 + 0.2. Which is the third biggest value? (a) z (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -7) + (3 - 1). Suppose -25 = a*x, 4*l + 23 = 8*l - 3*x. Suppose -s - 1 = -l. Solve g + s - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 18*j + 13. Let o be g(15). What are the prime factors of o\/(-112) - 327\/(-7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -720.6 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2*1 - 113\/((-37290)\/1260).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28706165*h - 86118463*h + 28706152*h + 28706155*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(136) + (sqrt(136)*-1 - sqrt(136))*2 + sqrt(136) - sqrt(136) - -2*sqrt(136)*6)\/(2*sqrt(1152) - sqrt(1152) - 3*(sqrt(8) - 1*sqrt(8))).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23648 + 23671. Solve t = -o + 4, 5*t - 9*o - s = -11*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*k + 84 = 0, -3*k + 116 = -5*h + 35. Let w = h + 20. Let v be (1 - -2)\/(-3 + w). Sort 1, -1, v in decreasing order.\nAnswer: 1, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122168 = 2*j - 4*z, 4*j = 17*z - 22*z + 244453. What is the ten thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:17 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 2.1. Let w = q + 1. Let b = w + -0.1000032. Round b to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 9. Let x be k(-9). Suppose -4*p + 2*d - 7*d + 34 = x, -5*d - 8 = -3*p. What is the units digit of (2 + -1)*6\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - g - 74 - 34, -4*g + 16 = 0. Let x be (-48)\/b + (-4)\/14. What are the prime factors of 3 + -1 + 5 + x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 - 6*a**2 - 9*a**2 - 8*a**2.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -25. Let y(g) = g**3 + 10*g**2 + 20*g + 34. Let s be y(-8). Let v be (-1 + d\/s)*-1. Solve v*k - 3*k - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58.2 - -125.2. Let d = -121 - -201.4. Let h = d - t. What is h rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 3. Let f(v) = -242*v**3 - 110*v**2 + 330. Determine -2*f(o) + 220*i(o).\nAnswer: 484*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l + 6. Let k(h) = -h - 1. Let x(b) = -5*k(b) - w(b). Let p(a) = 11. Let r(d) = -p(d) - 4*x(d). What are the prime factors of r(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5 + 2*k**4 - 378982*k**3 + 10511366*k**2.\nAnswer: 120*k**2 + 48*k - 2273892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 19 - (-1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1493977 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Suppose -5*z = -42 + a. Suppose -v + z = 4*c + 3*v, c + 2*v = -2. What is the highest common factor of 42 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 109 (b) 2\/3 (c) 1\/5 (d) 0.02 (e) 2 (f) -3 (g) -15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -0*n + 4*n - 3*a, -2*a = -2*n + 16. Suppose t + r - 4 = 0, -3*r + 4 = 1. Solve 8*y = t*y - x + 15, 0 = n*y - 2*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 721*m - 563*m**2 + m**3 + 447*m**2 - 2 - 717*m in the form f*m**2 + x*m + h*m**3 + a and give f.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300141 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*s - 54*s + 80. What is the third derivative of -4*m**4 + 11*m**4 - 21*m**2 + s*m**4 wrt m?\nAnswer: 552*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12) - 22\/(-12)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 - 5*m + 17. Let q be k(-7). Solve -q*y - p - 10 = p, -3*p - 12 = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*i**3 + 54 - 25 - 27 + 2*i**3 + 6*i**2 + 3*i**4 wrt i.\nAnswer: 72*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ajzzzjajajj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - v**2 - 2 + 1 + v + 6*v**2 - 3*v + (5*v + v - 4*v)*(582 - 29*v - 582).\nAnswer: -53*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -54171.08 to the nearest 10.\nAnswer: -54170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.3 (c) -0.0219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 897 times -0.09?\nAnswer: -80.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1832796185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 53, 193, 485, 983, 1741, 2813, 4253?\nAnswer: 6115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5910257g in tonnes?\nAnswer: 0.0000005910257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/23)*g)\/g**8)**(-3\/16)\/(g\/(g**13\/g)*g**(-1\/13))**39 assuming g is positive.\nAnswer: g**(159453\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01096 to 4 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 9*z**2 + z - 3. Let m be s(-9). Let y be -4 + 8*23*(-3)\/m. Suppose 45*b - y*b = 3. Sort 6, b, 3 in descending order.\nAnswer: 6, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 581541688+-1137597\nAnswer: 580404091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*t - 12. Let p = -136 + 244. Suppose -v = -2*m + 58 - 1, -4*m + 4*v = -p. What is the highest common divisor of m and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -64 + 1\/42*x**4 + 0*x - 1\/7*x**2 + 4\/63*x**3. Solve k(g) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1519850 - 20*g - 1519850. Let p(f) = 376*f. Calculate p(x(v)).\nAnswer: -7520*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5568)\/4224 + 4\/6 + 10\/12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**2\/2 - 1369437*z\/2 - 12324447 = 0. Calculate z.\nAnswer: -456461, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18925 - 25531*v + 34366 + 25529*v - 13963.\nAnswer: -2*v + 39328","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 61*q + 368. Let j be t(-6). Solve j*i = 59 - 61 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127199 and 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a - 32. What is q(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 + 30*k + 160 + 54*k)*(-6 - 6 + 4 + 1).\nAnswer: -588*k + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110809155 divided by -5.\nAnswer: -22161831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -64*k + 6. Let w be c(-5). Let a = w - 152. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3796907650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - n = -3*n - 32, 0 = i + 2*n - 3. Let q(d) = 27*d**3 + d**2 + 7*d + 7. Let h(k) = 18*k**3 + k**2 + 5*k + 5. What is i*h(p) - 5*q(p)?\nAnswer: -9*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 + t + 3. Give j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 439483 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -27. Let p be 5*1*96\/30 - b. List the prime factors of ((-123)\/(-6))\/(7\/p).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, y: 2, i: 7, k: 1, t: 2, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11*s - 5. Let w(f) = 2*f + 1. Let r(q) = u(q) + 5*w(q). Let i(n) = 0*n - 6*n - 6*n. Determine r(i(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 757 - 1?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18224237417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**25*s*s)\/s)**9\/(s*s\/((s*s*(s\/s**(-7\/3))\/s*s)\/s))**(-48) assuming s is positive.\nAnswer: s**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.0733087 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6 = -3*j - 0*j, -f = 2*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-531)\/(-36))\/((-2)\/8). Let d = -59 - g. Let f = 0.01 + -0.41. What is the third smallest value in f, -1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -48, -9, 48, 129, 240, 387, 576?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5634 and 215031.\nAnswer: 1290186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, v: 1, j: 6}. What is prob of picking 1 v and 2 c?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6)**(-3\/11))**42 assuming t is positive.\nAnswer: t**(-756\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2076 by 519.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 12*z**2 - 17. Let w(n) = -61*n**2 - n + 93. Calculate -11*c(l) - 2*w(l).\nAnswer: -10*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 905160 rounded to the nearest ten thousand?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 860. Let n(z) = -6*z + 860. Calculate -6*n(f) + 7*o(f).\nAnswer: f + 860","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 3. Let j be a(-2). Let b(g) = g**2 - 10*g + 10. Let p be b(10). Is 10 a factor of ((-468)\/30)\/(-3*j\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*m**3*w*z**2 - 6*m**3*z**2 + 6*m**3 - 137*m**2*z**2 + 293761*m*w*z**2 wrt w?\nAnswer: 8*m**3*z**2 + 293761*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 289\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + (-41 - -41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(17) + 0 - (sqrt(2057) + 1).\nAnswer: -10*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-38)\/(-1292)*-85).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 divided by -361464?\nAnswer: 103\/361464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 - -2.6. Which is the second biggest value? (a) d (b) 1\/5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 17 = w, 4*q - w + 2*w + 23 = 0. Let z be 0 + (-8)\/6*q. What is the greatest common factor of 12 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**3 - 6*k**2 - 2*k - 1. Let v be l(5). Suppose 20 - v = -u. What is the remainder when u is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63160956?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + -1 - ((sqrt(5) - (sqrt(80))**2) + 5).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(110)*-1 - sqrt(110) - sqrt(110))\/sqrt(10))**2 + 2.\nAnswer: -493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**7\/840 - g**6\/360 + g**5\/60 - g**4\/12 + 4*g**3\/3 - g**2\/2 + 26*g. Let t(q) be the second derivative of v(q). Give t(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -16*t**3 - 66*t**2 + 115*t - 187. Let g(x) = -7*x**3 - 32*x**2 + 57*x - 93. Let a(u) = 3*d(u) - 7*g(u). What is the units digit of a(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11816 is divided by 438?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u = -5*u - 5*h + 13, 0 = -u - 4*h + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00369792583 to four dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -3*a - 55. Let z be 3\/60*a + 2. Suppose 524*n = -1090*n - 1614. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from {b: 7, m: 11, p: 2}?\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259867 is divided by 64934.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 18*a + 16. Let o be l(17). What is the remainder when (o - 4\/(-6))\/(44\/(-60852)) is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-12*(-2)\/4. Suppose i = 4*v - 8. Suppose z - 16 = 3*g + g, -v*g = z - 34. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 647444?\nAnswer: 647449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - 59. Let l = 147 - h. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 5. Let u(a) = -5*a + 6. Suppose 0*m - 2*m + 8 = 0. Let n(q) = -q + 1. Let d(c) = m*u(c) - 22*n(c). What is 2*b(o) + 5*d(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 102*v**2 + 3*v - 4. What is the tens digit of q(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5)*i)**(-31))**(1\/18) assuming i is positive.\nAnswer: i**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2592 - 159*g**2 + 57*g**3 + 12300*g + g**4 - 4*g**4 + 12*g**3 - 417*g**2 - 10248*g = 0.\nAnswer: 3, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 10:49 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**5\/15 + i**4\/8 - i**3\/6 - 10*i**2. Let n(t) = -t**2 - t + 2. Let d be n(0). Determine u(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q - 1. Let y(a) = 3*a**2 + a. Let h(i) = 3*i**2 + i. Let z(k) = -5*h(k) + 4*y(k). Give -w(f) - z(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -2. Let r = 4059\/2 + -2030. What is the third smallest value in 3, d, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/1*5\/(-35)*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 10:01 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, p: 1, r: 2}. Give prob of sequence pr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2189196446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 4*x**2 + (-2*x**2 + 2 - 2)*(2 - 5 + 2) - 2094*x + 2094*x + 506*x**2.\nAnswer: 512*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from {x: 11, z: 6, i: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 5. Let z be o(-4). Let l(p) = p**2 + 3*p + 4. Let j be l(z). Let w = -2 + j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45709 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 128*w + 289. Calculate the smallest common multiple of 561 and f(-2).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8200 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (1 + -1 + 1). Let x = 81.84 + -81.54. Which is the second biggest value? (a) -0.064 (b) 4 (c) r (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.193769 and -0.5?\nAnswer: -0.0968845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203 (base 5) to base 14.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1501 + 1485 = 0, x + m - 8856 = 0. What is the thousands digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*l**3 - 3576*l - 2412022.\nAnswer: -345*l**2 - 3576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -46. Suppose 2*h - 3*x - 172 = -0*x, x = g. What are the prime factors of h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24765457*w**3 + 788*w**2 - 143*w + 241?\nAnswer: 148592742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)*t**(-10\/7)*t*t*t**(-5)\/t*t*t*t\/t**2)**37 assuming t is positive.\nAnswer: t**(-3959\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -8 - ((1 - 1) + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 10 - 24 + c)*(-12*c**2 + c**2 - 29*c**2) to the form g*c**3 + n + f*c + q*c**2 and give g.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 25\/2)\/((-23562)\/(-1617)). Is -1 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -172612 divided by 86306?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(22) + sqrt(88) + 1*sqrt(88) + sqrt(2200)*1))\/(1*sqrt(132)\/(-5*sqrt(768) + sqrt(12))).\nAnswer: -2340*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4) + (102\/(-4))\/(-17). Suppose -8*t - 8 = -l - 3*t, b*l - 36 = 3*t. Let r(d) = -d**3 + 14*d**2 - 14*d + 8. Give r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1009*b*u**3 - 2584*u**3 wrt b?\nAnswer: -1009*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 35*m**2 + 36*m**2 + 27 + 47.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2333, -107 in decreasing order.\nAnswer: 2333, -28, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1215)*2)\/(2*sqrt(300) + sqrt(15)\/(sqrt(20)\/sqrt(4))))**2.\nAnswer: 720\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 + m**3 + 5*m**3 - m**3 + 2.\nAnswer: 5*m**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 2:17 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -7 - 7. Let w(i) = -i**2 + 12*i**3 + 2*i + l*i**3 + 2 - 31*i**3. Is w(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8814, -11060, -14778, -19950, -26558, -34584?\n\"Answer: 3*k**3 - 754*k**2 - 5*k - 8058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 13.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*q**2 - 15*q**4 + 10*q**3 - 34*q**3 - q**4 + 9*q**3 + 11*q**3 wrt q.\nAnswer: -384*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {z: 8, l: 1, x: 11}?\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(156))\/sqrt(12) - -5*sqrt(39)\/sqrt(3) - (-3 + sqrt(13) + 0)*-5) + -4)*6)**2.\nAnswer: -16416*sqrt(13) + 80388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, -6, 5 in increasing order.\nAnswer: -72, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) 1\/5 (c) -2192\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*x + 73*x - 21*x)*(0*x - 2*x**2 + 0*x) to b*x + f + v*x**3 + j*x**2 and give v.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 133.4 at least 511.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -40.097.\nAnswer: -35.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 158 = -5*l, -3*l + 5*c + 98 = 3*c. Calculate the remainder when 87 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -10*h**3\/3 - 3949976*h**2\/3 + 9479992*h\/3 - 3160000\/3 = 0.\nAnswer: -395000, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:31 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 18 = 3. Suppose u - 4 = -k. Let p(l) = 3*l**2 + l. Let a be p(k). What is the highest common factor of a and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/6028 and 61\/1749.\nAnswer: 958452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (-20)\/18 - (-23)\/(-207)*-644203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 1. Let d(x) = -11*x**2 + x + 6. Suppose 875 - 735 = -28*l. Calculate l*g(i) + d(i).\nAnswer: -6*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 7*j**2 + 3*j + 8. Let c be p(-6). Suppose c = -16*k - 6. Is k at least as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 9. Let u = l + 21. Let o = 4 - 5. Which is the smallest value? (a) u (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 - -450. Suppose -k = 0, 2*k - n = -3*g - 2*k. What is the remainder when g is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 2 + 0 - 5*j**3 - 1 + j to the form r + y*j + a*j**2 + o*j**3 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2323*l**2 - 168*l + 1000. Is b(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 92636.33492 and -129.\nAnswer: 92507.33492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -12. What is the third derivative of 2*m**4 - 2*m**4 + m**2 + b*m**4 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, 0.5, -3, 5\/13, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 8:23 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000101 + -100101100?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2*k**4 - 2*d**2 + d*i*k**2 - 28*i*k**4 + 5*i*k**2 + 30*i wrt k.\nAnswer: 72*d**2*k - 672*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) -2\/13 (c) 2 (d) 990 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, -24, -61, -114, -183, -268, -369?\n\"Answer: -8*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 21*z**2 - 5*z + 73. Let c be s(20). Let p = c + 277. Is p at least as big as -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -5*p + 9 + 14, 2*p = 3*q - 6. Suppose p*x + 15 = 8*x. Solve -x - 7 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**2\/j*j)\/((j**(-6)\/j)\/j))**(-2\/33)\/(j**(2\/3)\/((j\/(j**2\/j))\/j))**(-28\/5) assuming j is positive.\nAnswer: j**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -108698\nAnswer: 1\/54349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**19*p*p**(1\/3)*p)**41 assuming p is positive.\nAnswer: p**(2624\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -791189, -1582386, -2373579, -3164762, -3955929?\n\"Answer: l**3 - 4*l**2 - 791192*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 53 = 68. Let r be (-2)\/(-60)*34 + -1. Which is the second biggest value? (a) 1\/9 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -m**5\/20 + m**4\/3 - 4*m**3\/3 + 12*m**2. Let o(b) = -9*b**2 + 25*b - 25. Let i(k) = -4*o(k) + 11*u(k). Solve i(v) = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrg when four letters picked without replacement from grrgggggrgrrgrggggr.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -8. Suppose l*r + 139 = 5*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 - 140*o + 141. Let a be k(1). Solve 3*l - f = 4*f - 37, -l - 2*f = -a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-3) - (7 - 22\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 6:27 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174071837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79466 + 34*y - 79466 to v + m*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 142, 211, 288, 361, 418, 447, 436?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173840309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-40))\/u)**25*((u*u\/((u**(-20)*u)\/u))\/u)**(-3\/4))**(-11) assuming u is positive.\nAnswer: u**(44693\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 827?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47408?\nAnswer: 2, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**(3\/2))\/y)**(9\/2) assuming y is positive.\nAnswer: y**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/63 - (-1001)\/(-105) - (-1 + 8 + -18)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 418458, 418459, 418460, 418461, 418462?\n\"Answer: u + 418457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22200 = -12*n - 38*n. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -77, -56, -3?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66312.\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1066?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 841759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17819, 35806, 53945, 72224, 90631, 109154?\nAnswer: 127781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**5\/5 + 43*o**4\/2 + 5*o**3\/3 + 9*o - 227. Find the third derivative of r(k) wrt k.\nAnswer: 24*k + 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2.3\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6\/36601, 5, -9, -5, -0.02, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 70824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24659664.\nAnswer: 2, 3, 257, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:31 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**3 + 2*f**2 + f + 2. Let o(s) = 23*s**3 + 5*s**2 + 3*s + 3. Let k(b) = -3*o(b) + 5*u(b). Let y be k(-1). Solve -2*a - 10 + y = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyyyyyyy. Give prob of picking 1 v and 1 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -5*g + 1286 - 1194, -17*g + 32 = -16*g - 3*j for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 276080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {z: 2, n: 3, t: 2, m: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/42)\/5*6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -32. Suppose -d = s*d + 48. Is d\/(-6) - 304\/(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q - 5*q - 9*q + 42 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3126667260 to the power of 1\/2, to the nearest integer?\nAnswer: 55917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/7 (b) -8 (c) 0.4 (d) 136\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -126869 divided by 433\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 18*u. Let s(h) = -h**2 - 8. Let m(b) = 1. Let r(x) = 24*m(x) + 3*s(x). Calculate r(o(i)).\nAnswer: -972*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*k - 55*k = 24*k - 260678. Calculate the lowest common multiple of k and 18.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j - 35. Let c be d(2). Find the common denominator of (c - (0 - 3))\/3 + -3 and 65\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 842, 1264, 1686, 2108, 2530?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {m: 10, s: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164336 (base 8) to base 4.\nAnswer: -32203132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - 1.1. Let b = 9.5 + o. Is b at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058250 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 4*i**2 - 4*i + 4. Let p be c(3). Let v(l) = -22*l**3 + l**2 - 2*l + 2. Let a be v(1). Is (a\/6)\/(p\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + n - 2)*(0*n - 2*n**2 + 0*n) - 5*n**3 + 2*n**3 + 0*n**3 + 3*n**3 - 4*n**3 - n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/(-3) - 0\/(-20). Let v = 45 - 142. Let p = -96.9 - v. Are p and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3843, 3828, 3787, 3708, 3579, 3388, 3123?\nAnswer: 2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjjjjj. Give prob of picking 2 j.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 18056 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12241 (base 5) to base 16\nAnswer: -3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13.52, -4, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -25*p**2 + 24*p**2 - 5 + 4 + 19*p + 0. Is y(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-2 - 1))\/2. Suppose 3*f - 55 - 35 = s. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -494858736*h**2*q**2 + 2333*h**2*q - 2*h**2 + 9*h*q - h - 33*q + 1 wrt q.\nAnswer: -989717472*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 16, o: 2}. What is prob of sequence to?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n - 27*n - 13 - 28*n. Calculate the remainder when d(-2) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 629, -2, -1 in descending order.\nAnswer: 629, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*h = -4*h + 1, -h + 4 = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 22 - 18 = 0. Suppose 8 + k = 4*w. Suppose w*b - 17 = 23. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12205.986 - 12228. Let i = y - -0.014. Let p = i + 21.99896. What is p rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 614254731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.89 - 64.89. Which is the closest to g? (a) -4 (b) -1 (c) 1\/10 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -657 + 4605\/7. Let -a*v - 4\/7 - 2\/7*v**2 = 0. What is v?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433441528 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: Solve -16*u + 4*j = -2*u + 98, 21575*j = 2*u + 21572*j + 14 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - l - 1)*(-7 + 3 - 12) + (0 + 0 - 4)*(3*l + 2*l - 4*l) - 4*l + 0*l + 0*l in the form r + d*l and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0300042 + -0.03. What is d rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 1. Give j(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128779351\/904074501 - 5\/1191139. Let v = t - -294\/253. Find the common denominator of -68\/9 and v.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15448, 61866, 139170, 247360?\n\"Answer: 15443*t**2 + 89*t - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(605) + (1*sqrt(605) - sqrt(605)))\/sqrt(11))\/sqrt(11))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 70 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 5*y**2 + y + 3. Let v = -3865 - -3871. Give o(v).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -152.\nAnswer: 23\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -943 - 1305 = -4*y + 5*w, -4*w = 16. Let b = y + 29. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*v = 53*v + 3544769. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and -7 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -96964 divided by -1\nAnswer: 96964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 r when four letters picked without replacement from {e: 6, w: 1, c: 2, r: 3, v: 6}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -347\nAnswer: 120\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(1216) + sqrt(1216) + sqrt(1216))*2 + -1*(sqrt(1539) - (sqrt(1539) - (sqrt(1539) + 0))))**2.\nAnswer: 780*sqrt(19) + 28999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(72) + 2)**2 - (sqrt(72)*-2 + -4)) + (-6*(-2*sqrt(72)*2 - 4*(2 + sqrt(72))))**2.\nAnswer: 27684*sqrt(2) + 168269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 6 - 144*v**2 + 145*v**2 + 2. Suppose -5*d = -a + 29, 2*d + 6*a - 3*a - 2 = 0. Let o be r(d). Calculate the greatest common factor of 24 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*j + 91*j - 111*j**3 + 79*j - 23*j wrt j?\nAnswer: -666*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -25*r**2 - r + 7. Let a(o) = 2*o**2 + o - 1. Calculate 6*a(l) + q(l).\nAnswer: -13*l**2 + 5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -403.3424 + -0.4576. Let u = -404 - b. What is the fourth smallest value in -0.6, 2, 0.02, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -310 divided by -3796\nAnswer: 155\/1898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*l - 5 + 176*l + 5 - 38*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13978759?\nAnswer: 13978759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x + 4*x + 66*x - 153 - 70*x. Calculate l(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598587049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (4 + sqrt(612))*1) - (0 + 0 + 3 + sqrt(612) + -4))**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -2*r - 5*k + k, 3*k = 0. Let t be ((-144)\/21)\/((-5)\/r). Suppose 0 = 5*b - 7*b + t. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 = -3*r, 3*r - 3*t - 2 = 1. Suppose 2 = -2*x - 4*w + 6, 2*w - 4 = -2*x. What is the closest to x in -4, r, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/307 in 174, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/5 + 54*x**4\/5 - 534*x**3\/5 + 1288*x**2\/5 - 237*x + 378\/5 = 0. Calculate x.\nAnswer: 1, 9, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 156972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 15*p. Suppose -2*l - 8 = p, 2*o - 3 = 2*l + 1. Sort 2\/13, o, 0.3 in descending order.\nAnswer: 0.3, 2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -128 and 1.74.\nAnswer: -222.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 11:16 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087)*-2 + sqrt(63) + 0)**2.\nAnswer: 10647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 21 = -4*t, -171 + 223 = 8*t - 4*z for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.5 + -19.5. Which is the second biggest value? (a) 3\/4 (b) 1\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxkx when four letters picked without replacement from kxkxrtxxrr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557853 is divided by 298.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39639559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-382720)*-16)\/((-10)\/(-16))?\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219723?\nAnswer: 3, 7, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 + s - 7. Let u(b) = -8*b**2 + b + 9. Let g(v) = -3*u(v) - 4*x(v). Let o(w) = 23*w**2 + 20*w - 3. Calculate -17*g(f) - 6*o(f).\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -43. Let i(o) be the second derivative of -1\/10*o**6 - 2*o + 1\/2*o**2 + 0*o**5 + 0*o**3 + k + 0*o**4. Differentiate i(p) with respect to p.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242106 to the power of 1\/2, to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 6. Suppose 60*b = 3*z + 57*b - 30, 0 = -b - 10. Solve u + 12 = -4*n - z*n, y = u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 f when three letters picked without replacement from jjfjjjjf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 20\/4 - 11. Let s = h - -25. Let m = 19 - s. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -394003 (base 14) in base 6?\nAnswer: -110121135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165\/2 - 1819\/22. Let v be (7 - 2) + -1 - -1. Let j = v - 5. Do j and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s - s + 0 + 2. Let p be q(-4). Let u be p\/2 - 3\/(-3). Solve -3*k - 10 = -n, -k + 2*k = u*n + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g - 1. Let q be h(1). Is 5 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -3, -5, -7, -9, -11?\n\"Answer: -2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 347372093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let k be (1 - t\/(-2))*0. Let h be ((-2)\/5)\/(1\/(-5)). Is k greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 - 16*i - 20. Let o be l(-6). Let h(b) = b**2 + b - 5. Let n(y) = y**2 + y - 4. What is o*n(t) - 3*h(t)?\nAnswer: t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/5 (b) 1 (c) 1\/448 (d) 18\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + l + 680 + 5413*l**2 - 5415*l**2 - 217 in the form b*l**3 + w + i*l**2 + y*l and give w.\nAnswer: 463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3 - -4) - -1. Suppose 0 = b + 5*z + 15, -5*b = -o*b - z - 29. Solve -b*s + c + 6 = -17, 4*c = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/642 and -43\/549190?\nAnswer: 176289990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6289256 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 226153685 a multiple of 1498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.329 - -2.429. Suppose g + 3*g = 44. Suppose 3*f + q = -2*q + 27, -f + 4*q = g. Put -3, -1, n, f in descending order.\nAnswer: f, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 7. Suppose -3*o = 2*o + l. Which is greater: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 561 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 245339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3580088697 to the power of 1\/2, to the nearest integer?\nAnswer: 59834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662506, 5300048, 17887658, 42400366, 82813202?\nAnswer: 143101196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66\/17 + 956\/255. Is 0.2 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/35458204 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 135*q + 1117. Calculate the remainder when b(-71) is divided by 79.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*i + 5404*i**3 + 37*i - 5402*i**3 + i**2 - 6 - i**2 to the form h + x*i**2 + o*i**3 + v*i and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3160509?\nAnswer: 3, 11, 95773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -17 (b) -75\/2 (c) 7 (d) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 995173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3753 is divided by 1867?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -289 + 127. Let c = 210 + t. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 759843641?\nAnswer: 73, 89, 116953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 1297, -34 in descending order.\nAnswer: 1297, 2, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 1. Let z be g(-10). Let q = -6 - z. Let v(o) = o - 2. Give v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1 + 12 + v**3 - 14*v**2 + 8*v + 3*v - 4*v**3. Let m be x(-6). Does 12 divide 3\/2*16 - (m - 91)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a decade in months?\nAnswer: 1248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20456705 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: What is the value of 1 - (-2 - 0 - (1 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*u - 27. Let f = u + 40. What is the remainder when 38 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 32*m**2 + 12*m**2 - 4*m**2 - 12*m**2 + 6*m**2. Let j(d) = 18*d. What is g(j(q))?\nAnswer: 11016*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -168, -360, -616, -930?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(1\/6). Suppose 0*b = 5*b - 15. Let f(o) = 1 + 0*o**b + 5 + 3*o - 3*o**2 - o**3. What is f(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -54\/7*w**2 - w + 9 + 9\/35*w**5 - 6\/7*w**3 + 5\/4*w**4 + 1\/70*w**6. Determine n so that f(n) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/5)\/b*b*b**8\/b*b*b)**(7\/2)*(b**(-2\/5))**(-1\/27)\/(b**(-2\/19)*b*b\/(b*b**8*b)) assuming b is positive.\nAnswer: b**(114194\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8249327*s**4 - 4994843*s wrt s?\nAnswer: -98991924*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140.8 - 121. Let i = q + -20. What is the nearest to 8 in 5, 0.5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*l = -7*l + 102, 5*j - 127 = -3*l. Suppose 23*t - j*t + 258 = 0. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587 > 831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2211, -2240, -2281, -2328, -2375?\nAnswer: -2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 - (-6 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 427.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/9, 2\/17, -2\/7, 4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2920462653?\nAnswer: 3, 59, 2371, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -1048*s + 1046*s + 6*i, 4*i - 37 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 14*i**2 - i + 880. List the prime factors of p(0).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*d - 21, -5*j - 7*d + 2*d = 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -7.5976.\nAnswer: -1.51952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 162128 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2160053.6405 - 1\nAnswer: 2160052.6405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.462606ml in litres?\nAnswer: 0.009462606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of x**5\/20 - x**4\/3 - x**3\/2 + 3*x**2\/2 + 4*x. Let a = 8 - 9. Let o = 3 + a. What is l(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:33 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38222, 38225, 38218, 38195, 38150, 38077, 37970, 37823?\nAnswer: 37630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.03, 0.16 in increasing order.\nAnswer: 0.03, 0.16, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 233)\/((-12)\/36). Let n(d) = -d + l*d**3 + 2*d - 701*d**3. Let r(y) = -2*y + 4*y + 3*y**3 + 7*y**3. Give -12*n(g) + 5*r(g).\nAnswer: 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1915032841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:46 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 18*g + 11. Let x be j(5). Find the common denominator of 133\/36 and (12\/(-72))\/(x\/172).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00069438 to six decimal places.\nAnswer: -0.000694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 2*u**2 - 2*u + 3. Let n be d(2). Let v be 3 - (-24)\/(0 - 3). Which is the biggest value? (a) v (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 20*i - 2. Let n be r(7). Suppose -2*b + 3 = -3*c, -5*b - 5*c + n = -10*c. What is b rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v**3 + 13*v**2 + v - 3. Let g(k) = -7*k**3 + 12*k**2 + 2*k - 4. Let c(p) = -7*g(p) + 6*y(p). Let r be c(7). Does 4 divide 6\/r + 3 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-348*w - 23*w - 4*w)*(-6*w - 55*w + 17*w) to the form h*w + r + o*w**2 and give o.\nAnswer: 16500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1852241?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 5, -10, 3.6392?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 581\/401 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 491, 3720, 12481, 29540, 57663, 99616, 158165, 236076?\n\"Answer: 461*i**3 + 2*i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (38 - (-44 - -99))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1465)\/25 + 3\/5. Let w = 60 + m. Let k be (-3 - -15)\/4*20\/12. Put -4, w, k, 0 in decreasing order.\nAnswer: k, w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148599033?\nAnswer: 3, 11, 4503001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114726584 divided by 2048689.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*b + 783 = 42*b - 479*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34520 + 197670 - 5438 = 9448*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*j - 486, -2*k - 3*k - 5*j + 605 = 0. Suppose -k = 4*p + 2485. Is (-6)\/30 - p\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34800.3 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4 - 797658*i**3 - i**2 - 3452018*i + 2?\nAnswer: 24*i**2 - 4785948*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-3)\/(24\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69171239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/7 - (-46)\/(-14). Let h(x) = -3*x + 4. Let s(q) = -2*q + 3. Let g be s(-2). Let a(w) = 4*w - 2*w + g - 5 - 5. Determine f*h(j) - 4*a(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*y + 0 - 2*y - 1 + 1 + (y + 4*y - 6*y)*(-2 + 5 - 1) - 2 + 2 + y - 2*y + y + 3*y + 162*y - 219*y + 181*y to the form q*y + n and give q.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - (sqrt(98) + 1) - (1 + sqrt(162)) - 3*(-1 + sqrt(2))*6)**2 + 1 + (1*sqrt(96))\/sqrt(3)*-5.\nAnswer: -1076*sqrt(2) + 2435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2)*(-234)\/(-468))\/(-1)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014428258407 to seven dps.\nAnswer: 0.0001443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4696, -9400, -14104, -18808, -23512?\nAnswer: -28216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*k**3 + 12 - 8 - 2 in the form f*k + u*k**3 + o + p*k**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a98426 (base 12) in base 4?\nAnswer: 230123211132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 7.6. Put -0.3, 5, u in decreasing order.\nAnswer: 5, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2270361 - 3?\nAnswer: -2270364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 218563498 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1390\/3 + -447. Let r be (-7922)\/2448*(1 - 0)*3. Let w = i + r. What is the common denominator of 23\/6 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/24*-12*5\/(-180).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38623846 to the power of 1\/2, to the nearest integer?\nAnswer: 6215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*w - 38, -88 = -2*j - 2*j - 2*w. Solve -j*o + 28*o = -14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 2, -1, -1219 in increasing order.\nAnswer: -1219, -70, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 69640?\nAnswer: 69640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 11. Suppose 0 = i + 10 - 14. Suppose r*c - 24 = i*c. Solve 0 = -c*h + 2*z, -5*h + 19 = 3*z - 0*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*q + 40. Suppose 2*o = -3*w + 7*o + 12, 2*o + 16 = 4*w. Suppose 4 = -w*s, 2*u - 4*s - 4 = 4. What is the greatest common factor of u and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 24 - 4. Let j(i) be the second derivative of i**4\/12 - i**3\/3 - 9*i**2 + 9*i. Let b be j(8). Solve -b = -5*v - s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 752 = 1338. Let p = k - 220. What are the prime factors of p?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12290019 is divided by 3058?\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 7*b**2 - 8. Let z be a(7). Let t be (-1)\/((z\/(-2))\/(-40)). What is the highest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 - 2*k - 3. Calculate m(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280.4*-4.\nAnswer: -1121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3, -15*j + 4*q = -13*j - 4038. List the prime factors of j.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 20*o + 22. Let d be n(19). Suppose -d*t + z = -289, -20 = -3*z + 8*z. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.959601 litres?\nAnswer: 4959.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 4}. Give prob of sequence yww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by -70\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 4374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 6233*v**4\/12 - 4641*v**2\/2 + 10624*v. Differentiate i(q) with respect to q.\nAnswer: 12466*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*f + 59*f + 4 - f**2 - 127*f to the form z + s*f + g*f**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 2. Suppose t + 0*d = -3*d + 13, 15 = 5*t + 5*d. Let w be -4 + (-35)\/(-7) - (t + -1). Determine y(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748 at least as big as 748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(110) - sqrt(110)*2*-5)*4)\/(((sqrt(800) - sqrt(50)) + sqrt(50))\/sqrt(5) - sqrt(360)*-4).\nAnswer: 55*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21258 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/(-5) - 146\/2. Let l be -2 - 182\/k*(0 - -1). Let j = -0.1 + 0.2. What is the nearest to l in -3\/4, 1\/7, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13682 - 4233. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 23. Let l = -10 - n. Suppose l*f = 2*f - 12. Which is greater: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-11)\/((-198)\/45)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 10:53 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**4)\/(a*a**4) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*32\/(-168)*7. Which is the smallest value? (a) 5 (b) -4 (c) -0.1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, -0.1, -18 in descending order.\nAnswer: 1, -0.1, -1\/2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 9:23 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -8. Suppose 0 = -0*s + 2*s + 12. Let w be ((-9)\/t)\/(s\/4). Put 0.3, -4, w in descending order.\nAnswer: 0.3, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21.2 + -13.8. Let n = -35.5 - w. Let h = -97\/255 + -1\/51. Which is greater: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 11. Let k = -45 + 323\/7. Which is the second smallest value? (a) k (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 2.4, -1\/5, -5, -4.\nAnswer: -9, -5, -4, -1\/5, 2.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(612)*-1 + 2 - (3 + sqrt(68) + sqrt(68) + -1)))**2.\nAnswer: 20*sqrt(17) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3))**(-25))**(3\/10) assuming t is positive.\nAnswer: t**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -6*s**5\/5 + 2*s**3 + 1252*s. Let b(d) = d**3 - d. Calculate -24*b(t) - 2*u(t).\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1095121721*j**4 + 3*j - 52135006 wrt j?\nAnswer: 13141460652*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 9 = 4*c + 47, -84 = -2*i + c. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 21*n - 15 = 0. What is the least common multiple of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.413 (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 42 + 21 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 15*j**2 - 6*j + 3. Let a be 1*3\/(-3) - 6. Let n be k(a). Let v(r) = -3*r + 9. List the prime factors of v(n).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292, 487, 682?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 2*y + 9. Let v be p(4). Suppose v = -6*f + f - 3*j, 0 = 3*f - j - 5. Suppose -s + 6*s = 5*k + 80, -5*s + 5 = 0. Which is greater: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 374, 556, 738, 920?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 937, 0.2, -14, 2\/3, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 - 4*g**4 + 4*g**4 + (-g**3 + 2*g**3 + 0*g**3)*(2*g + 0*g - 3*g) + (29*g**3 - 16*g + 16*g)*(5*g + 2*g - 4*g).\nAnswer: 82*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/15, -0.0312, 2\/23, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-5))\/((-1)\/244). Suppose c = -3*c + g. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -5\/468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*s + 318 = -17*s - 322 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/12 + m**3\/3 - 3*m**2\/2 + m. Let j be q(2). Let i be (1\/(-3)*0)\/(5 + -3). Put j, i, -1 in ascending order.\nAnswer: j, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164701574 and 1426.\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnnmuuunnnunnihmn. What is prob of sequence mn?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -67*q + 160. Let v(r) = -152*r + 316. Let m(b) = 4*v(b) - 9*w(b). What is m(-34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-972)\/(-234)*23\/(483\/182)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-20)*(-15)\/(-6). Solve -5*z - y*m - 19 = -5, -3*z + 4 = -5*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 119 = 139. Solve 0 = -c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13\/5, -1, -36474?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -69*v + 264. What is the greatest common divisor of 500 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 15. Let y be o(12). Let u(f) = -8 + 13*f - y + 3 - 24*f. What are the prime factors of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 12\/7038551?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/((-3)\/1*266\/252)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 11*m**3\/6 + 27*m**2\/2 + 6*m - 1. Let t be w(0). What is the greatest common factor of t and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beai when four letters picked without replacement from {e: 2, w: 3, a: 2, r: 3, b: 1, i: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.3 (c) 0 (d) -10 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2037580015 by -5.\nAnswer: -407516003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4861 - -10368. Does 100 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, h: 6, c: 3, j: 3}. Give prob of picking 1 n, 1 c, and 2 j.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 times 89?\nAnswer: 4895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/475, 22, -8, 5, -2\/15 in descending order.\nAnswer: 22, 5, 1\/475, -2\/15, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85914, -85913, -85912, -85911?\n\"Answer: w - 85915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1672?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4638301 is divided by 1615?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78378, 7, -3 in ascending order.\nAnswer: -78378, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 47320, 94636, 141956, 189280, 236608, 283940?\n\"Answer: 2*s**2 + 47310*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5596\/37773)\/(2\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/7 + 4\/7. Let c = 0.95 - -0.05. Let v = -29.8 - -30.2. What is the nearest to c in 0.3, y, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/4 - 19*x**3\/6 + 9*x**2\/2 - 2308*x. What is y(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 2 - 8*l**2 - 4 + l**2 - 3*l as w*l + o + k*l**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(110)\/(sqrt(11)*3) + sqrt(10))*3.\nAnswer: 9*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 6*i + 0*i to the form h*i + q and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - 22004100?\nAnswer: -22004202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000603 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -11*l - 63. Let h be i(-6). Solve 9*u + h = 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-48)*-6)\/(21\/30)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75502241*x**3 + 364677299 wrt x?\nAnswer: -226506723*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 510 and 817005?\nAnswer: 27778170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 19 + 21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 109 - -5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1902*m**2 - m - 662 wrt m?\nAnswer: -3804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175254.\nAnswer: 2, 3, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4603 + 147281\/32. Find the common denominator of 67\/4 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 513 - -7736. What is the greatest common divisor of 73 and z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 154 + 494. Let k = 38 + -75. Let q = -4 - k. What is the remainder when j is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*s + 199 + 199 - 264 - 30*s as w + a*s and give w.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 19*k. Let s(v) = 1 + 7 + 4 + 3*v - 12. Calculate s(a(m)).\nAnswer: 57*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 + 2*c**2)*(33242 - 33242 - 116*c**3).\nAnswer: -116*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -730 + 1020. Suppose -7*q - u = -12*q. Calculate the remainder when 189 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211202 (base 3) in base 9?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*117070338\nAnswer: 117070338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14*-1356\nAnswer: -18984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/15*4)\/((-4)\/(-60)). Suppose -689705 = -k*n + 10755. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 + 72 - 66) + 5\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59188 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f**4)*(16 - 16 + 46*f)*(3 + 0 - 1).\nAnswer: -92*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -26.8. Let u = -6 + 5.89. Let z = u + 0.15. Put -2\/9, v, z in decreasing order.\nAnswer: v, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12033100 to the nearest 100000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 66 = 2*b + b, -3*d - 5*b = 58. What is the common denominator of ((-3)\/6)\/((-3)\/d) and (-2)\/(-20*3\/(-9))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 103*a**2 + 66*a + 17185. What is d(-102)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-120))\/(28\/36*-2)*(-105)\/60?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 4*p**2 - 3*p - 6. Let d be x(-4). Let s be (-15)\/(-9) + 2\/d. Solve u = -0*w - w - s, 3*w = -4*u - 10 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*o - 10, 4*o + 7*l - 2*l - 22 = 0. Let m(y) = -2*y + 2*y**2 + 4*y - 6*y + 3. What is the units digit of m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52396714 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: What are the prime factors of 578?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:16 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/4 + 17 + -5. Suppose -m*v + 4*v - b = -12, -v + 4*b = -3. What is the closest to 0.1 in -0.2, 2\/3, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**3\/4 - 119907*m**2\/4 + 239616153*m\/4 + 47928027\/4.\nAnswer: 3*(m - 3997)**2*(5*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 608, 0.2.\nAnswer: -0.5, 0.2, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 130 - 2*z - 18*z - 128 + 2*z - 3*z - z + (-1 + 1 - 1)*(1 - 1 + 2*z) + z - 5*z + 2*z + 2*z - 1 + 1 in the form x*z + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 554 divide 84686019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/2)\/(-2 - -1). Let v = -19861283\/4 - -4965333. Factor -v - 1\/4*s**2 - x*s.\nAnswer: -(s + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*4\/8*93. Let v = u - -506. List the prime factors of v.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 + 4 = 0. Let q(l) = 4*l - 2. Let o be q(3). Suppose 0 = -2*f - 6, j*p - 2*p + o = -5*f. Solve 0 = -4*a + w - 1 - 1, -2*a = -p*w + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 156. Let w = 71 + h. What are the prime factors of ((-65)\/(-39))\/(w\/102)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 40*m**2 + 7*m - 41. What are the prime factors of l(-5)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 0. Let m be (1\/2)\/(l\/(-216)). Let -2*f - m*f**3 + 4\/5 - 32\/5*f**2 = 0. Calculate f.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/154310 and -19\/143?\nAnswer: 1697410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2841 and -0.1.\nAnswer: -284.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 316 + -317. Which is the closest to 0.2? (a) -0.3 (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let n(v) = v**2 - v**2 + 6*v**2 + 4*v**2. Give n(h(u)).\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 2:02 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107706 (base 9) in base 2?\nAnswer: 1111110011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10, 22, 34?\n\"Answer: 12*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -471630 (base 15) to base 12.\nAnswer: -1179799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*y - 212, 0*w - 2*y - 317 = 3*w. Let a = w - -1567\/15. Is -1 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*z + v + 17, 3*v + 7 = z. Let b be (-1 + 1)\/(30\/(-10)). Suppose -2*u = -k - 29, 4*u + 2*k - 61 = 3*k. Solve b*i + u = -z*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 = 2. Let q(f) = -f**3 + 2*f**2 + 3*f + 2. Let k be q(m). Suppose 3*c - 36 = -k*c - 2*o, -26 = -4*c - 3*o. Solve -c = -4*u + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 20 = -z. Let f be (z\/6)\/(20\/30). Solve -2*n - 4*g = -4*n + 12, -n + f*g + 21 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 7554 + 15102 - 7548 - 71*h**2.\nAnswer: -71*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 21. Let s = -52 - -54. Suppose 0 = -2*n - 3*k + 51, -5*n = -q*k + s*k - 96. Calculate the least common multiple of 9 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-90)*(-3)\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c*w**6 + 12085*c*w**4 - 4449*c*w - 2*c - w**2 - 2 wrt w.\nAnswer: 600*c*w**3 + 290040*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u**2 + u + 1. Let y(p) = p**2 + 5*p - 7. Let d be y(-6). What is the common denominator of w(d) and 25\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-161)\/(-46) - (-105)\/30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = t. Suppose 2*w - 10 = 0, 4*g - g + w = -22. Let x be -5 + 3 - g\/t. Let r(v) = -4*v**2 + 2*v - 1. What is r(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65854671, 65854670, 65854667, 65854662, 65854655?\n\"Answer: -t**2 + 2*t + 65854670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2832*j + 24 = 4*l - 2835*j, -8*l = 3*j - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 486 and 212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*(sqrt(468) + 1 + (3*sqrt(468) - sqrt(468)) + sqrt(468)))**2.\nAnswer: 432*sqrt(13) + 67401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3803846805.\nAnswer: 3, 5, 11, 2561513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101090605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1974920 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**6\/120 - j**5\/20 + 2*j**3\/3 - 30*j**2. Factor c(m).\nAnswer: (m - 2)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/10)\/(63\/(-24)). What is the second smallest value in l, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 j when four letters picked without replacement from {p: 3, j: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 16 = -2*b. Let n(c) = -20 + 2*c - b*c + 8 + 0*c. Let k be n(-8). Solve 2*l - k*x + 2*x = -6, 5*x = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -45. Let f = 17 - a. Is 6\/5 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 38, 58, 78, 98?\n\"Answer: 20*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207625390 to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 176, 398, 730, 1184, 1772?\nAnswer: 2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3282 = 17*s - 543. What is the highest common factor of s and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 4*h - 9 - 5, -269*i = -264*i - 5*h - 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*p - 56*p + 13584 = 2*q, 4*q - 5*p - 27196 = 0. Is q a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.70228 months in years?\nAnswer: 9.72519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*m = -178, -3*m + 113 + 13 = 3*n. Suppose 43*j = 72 + 57. What is the remainder when n is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -398991096.8 to the nearest one million.\nAnswer: -399000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4 - 16, 5*v - 5 = -5*q. Suppose 0 = d + 2*f - 17, 4*d + v*f - 85 = -29. What is the remainder when 31 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 9. Which is the second biggest value? (a) 2 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214248612?\nAnswer: 2, 2161, 140473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76474 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - -8)*(-6)\/(-1). Does -12 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2511590 (base 12) to base 14\nAnswer: -d663b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-3 - 4) - (4 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1487997 + 0.1491. Round i to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = g + 66, -2*n + 4*g - 108 = 2*n. Let r = -31 - n. Solve -2*j + 3*j - 5*p + 15 = r, 25 = j + 5*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100 + -1?\nAnswer: 10011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1402 = -8*l - 1354 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2e73 (base 15) to base 5\nAnswer: 310013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -173883 (base 10) to base 7.\nAnswer: -1322643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13356 and 378550221.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 158 = -12*b. What are the prime factors of b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 + 1 - (-4 - 7 - -12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65619897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.04 + -2. Let p = f - -2.96. Sort 0, 1\/4, p in decreasing order.\nAnswer: p, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -349 - -344. Let s = -423 + 421. What is the closest to 9 in c, s, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1461, 1460, 1459, 1458, 1457, 1456?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -3*q**5\/5 + 119*q**4\/2 - 1799*q**2\/2 + 173. What is the second derivative of n(v) wrt v?\nAnswer: -36*v**2 + 1428*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 35*y**4\/4 - 95*y**3\/3 - 70*y**2 + 380*y - 6466. Factor d(g).\nAnswer: 5*(g - 2)*(g + 2)*(7*g - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = -w + 5, -4*w + 3*q = 49. Let s(j) = -10*j + 3. Let o be s(2). Let l = w - o. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**8\/336 + 11*n**5\/60 + 3*n**2\/2 + 14*n. Let c(v) be the first derivative of r(v). Find the third derivative of c(y) wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyya when four letters picked without replacement from {y: 7, a: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 72457308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*4\/3*(-8)\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {b: 1, f: 11, o: 5}.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -48780000 rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17460208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 119 = 10*x. What is the first derivative of 16 + 3*l**2 - x - 2*l + 16 wrt l?\nAnswer: 6*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3\/(-6)) - (-56)\/14. Let b(c) = 1314*c**2 - 1 + 6*c - 5*c - 1308*c**y. Give b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*w - 606*w - 1060 + 110 = 0 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43944, 87955, 131956, 175941, 219904, 263839?\n\"Answer: -a**3 + a**2 + 44015*a - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109066.\nAnswer: 2, 23, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cozoggch. Give prob of picking 2 o and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 4 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -199819570 to the nearest one million.\nAnswer: -200000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = o + 6, 2*o = 2*k - 5*k - 2. Suppose 4 = -k*q - 3*r, -r = 5*q - q + 18. Suppose -20 = -5*h - 2*u + 20, 4*u = 0. Sort 0, q, h in descending order.\nAnswer: h, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/14*11)\/((-177)\/(-413)))\/(1\/(-2))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00485673 to 4 dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**6\/360 + m**5\/20 - m**4\/4 + m**3\/2 - 15*m - 1. Let c(i) be the second derivative of s(i). Let y = 13 - 9. Give c(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.8 + -11.8. What is the nearest to 1\/2 in 1\/3, q, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -388 - -407. Suppose 51 = -d*p + 127. Calculate the remainder when 47 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -36) + -4 + 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -4*z + 6 + 32, 2*z - 4*m = 14. Let w be (-7)\/((-105)\/(-5)) + 6\/z. Factor 2\/3*i + w*i**4 + 0*i**3 + 0 - i**2.\nAnswer: i*(i - 1)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9080\/13623 - 2\/13623. Which is the smallest value? (a) -20 (b) 2 (c) -0.6 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891 is divided by 433.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kxaxxzz. What is prob of sequence xza?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -169 - 28*c**4 - 52*c**4 - 2*c**4 + 171 wrt c.\nAnswer: -328*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x + 24. What is the remainder when 161 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 131*z - 15. Let m be g(3). Let k = 72 + -72. Suppose k = -y + 8*y - m. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*l - 16, 4*l = -1445 + 1465 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(112) + 1*1*sqrt(112))**2 - ((2*sqrt(112) - sqrt(112)) + -5)).\nAnswer: -4*sqrt(7) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 61634*r + 61637*r - 96 = 0, -3*r = 3*z - 6*r - 51 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*a = 17, 2*a + a = -3*f - 3. Suppose -2 = -2*i - 3*o, 3*o = 4*i - 0*o - 22. Suppose 35 = i*m + 11. Solve -f*d - d = -m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 - -0.201.\nAnswer: -39.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 49377528.98 to the nearest 1000000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 16, -5*s - 4*r = -r - 22. Let x(g) = -g**2 - 8*g. Let j be x(-4). Factor 24*b + 24*b**3 - b**5 - 24*b + 3*b**5 - j*b**s - 12*b**4.\nAnswer: 2*b**2*(b - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**7*y*y**(-26))\/(y**(1\/50))**(-2\/23) assuming y is positive.\nAnswer: y**(-9199\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49774 and 19598.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-99)\/(-15) - (-64)\/110?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82270*n**3 - 2*n**2 + 5*n - 2472 wrt n.\nAnswer: -493620*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + 22. Let g = -107 + l. Is -33 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.665397ug?\nAnswer: 0.000000000006665397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -11*u**2 + 16*u**2 - 6 + 5*u - 5*u**3 + u**3 - 6*u**2. Let s(m) = 2*m**3 - 2*m + 3. What is -2*h(f) - 5*s(f)?\nAnswer: -2*f**3 + 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -243.89 and -527.\nAnswer: 128530.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 y when three letters picked without replacement from {y: 1, f: 4, a: 4, e: 1, l: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 191080683 to the power of 1\/3, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -133375 divided by 55\nAnswer: -2425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h + 11229 + 5271. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*(sqrt(15)\/sqrt(5) + -1))**2 - 6*sqrt(432)*3).\nAnswer: -80 + 1120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -87429, -87428, -87427, -87426, -87425?\n\"Answer: m - 87430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 + -9 + (-1338)\/(-168)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.1 and 218.\nAnswer: 893.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 15. Suppose -72 = -0*m - 4*m. What is the remainder when j(-20) is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171*r - 171*r - 23*r**2 - 32*r**2)*(52 + 71 - 54).\nAnswer: -3795*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 - -1.5. Let o = 0.9 - s. Suppose -2*r - 4 = 2*v, 3*v + 20 = -6*r + r. Sort -3, r, o.\nAnswer: r, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2141694 = 2*n + n. Let w = -1126102 + n. What is w rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7421*z + 601107. Determine g(81).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515 - 27 + 1989*q + 543.\nAnswer: 1989*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6789 + 6762.776. Let f = -0.024 - p. Let i = -26 + f. Sort i, 5, -2 in increasing order.\nAnswer: -2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4 = 2*u. Suppose 0 = u*d - 2, -2*c + d + 19 = 3*c. Let n(f) = 3*f + 3. Is n(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1e017 (base 15) to base 11.\nAnswer: -67608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**4\/12 + 4*l**3 - 25*l**2\/2 - 23*l. Let q be n(-25). Which is the closest to 1\/4? (a) 1\/4 (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*j = 9, 3*u + 5*j + 13 = 6*u. Let t be 2 - ((-5)\/2 - (-3)\/u). Suppose 0 = 5*v + 20, -80 = -2*c + 3*v + t. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505618?\nAnswer: 2, 241, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2870 and 1148?\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -359 + 361. Let h = 1 - -1. Which is the nearest to y? (a) -5 (b) -12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4125\/135*(-177)\/(-1298)\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -79, -218, -413, -664, -971?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41229 is divided by 3439?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -45 - 285. What is the least common multiple of u and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 14 = 4*w. Suppose w*z + 2*m = 10, z + 8*m - 3*m - 13 = 0. Solve -6\/5*k - 2\/5*k**z - 2\/5 - 6\/5*k**2 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -84. Suppose 8 = 5*g + 4*a - 22, 0 = -4*g + 4*a + q. Suppose 3*n = -5*k + 54, 4*n = -2*k + g + 52. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Suppose -r*t + 12 + 12 = 0. Is 74\/t - 2\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {z: 5, g: 2, u: 3, f: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4795 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2, 3\/5, 10, -2073, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-105)*-7*-9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 178*x + 2292. Determine t(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, -1, -473?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83601 and 1008.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -33.85. Which is the fourth biggest value? (a) h (b) 0.5 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 0.2, -2\/31 in increasing order.\nAnswer: -20, -2\/31, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -50, -162, -328, -554, -846, -1210?\nAnswer: -1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + -6 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -111, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h. Let z(g) be the first derivative of -g**5\/60 + 5*g**2\/2 - 5. Let w(b) be the second derivative of z(b). What is w(x(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 867921171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -273610.6 rounded to the nearest one thousand?\nAnswer: -274000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-8)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -4338.\nAnswer: -303.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.036, -0.1 in ascending order.\nAnswer: -0.1, -0.036, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:07 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3381 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 + 4 + -1 + -5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.45 + 2.55. Which is the nearest to -2? (a) -106 (b) 1\/2 (c) r (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**4\/6 + 5*r**3\/6 + 37*r**2\/6 - 5*r\/6 - 6 = 0.\nAnswer: -4, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -105 - 8267?\nAnswer: -836c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 2*q + 5 = 3*a, -2*a + q - 3 = 0. Is -1\/346 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 22*n**2 - 25*n + 55. Let o be i(23). Suppose -3*z - 1 = -4*d, -2*d + 2*z = 7*z - 7. Solve -3*h - o = 3*w, w + h - d = 4*h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4 + 1796*d**3 - 170228*d**2 - 1465796*d - 1293768 = 0 for d.\nAnswer: -7, -1, 151, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -11, -144, -2 in increasing order.\nAnswer: -144, -11, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -789 or -3396?\nAnswer: -3396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2519 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c**3 + c. Let b be l(-1). Suppose b*m - 3*v = 78, 0*v - 44 = -2*m - 2*v. Does 18 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*p + p + c, 4*p - 16 = 4*c. Suppose 0 = -p*r + r + 3. What is the second derivative of -58*k + 0*k**r + 3*k**3 + 72*k wrt k?\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 66790.94 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 + 120816*g + 13326060.\nAnswer: -3*(g - 40382)*(g + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -30. Calculate the highest common divisor of s and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-45)\/90)\/(1\/(-96)). Calculate the greatest common factor of 160 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxt when three letters picked without replacement from xgxhgxxhuth.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbes when four letters picked without replacement from xbsesses?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/(-6) + 8)\/((-2)\/(-324)). Find the common denominator of 0 + 2259\/p + 1 + -6 and 82\/99.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 10\/55 + 0\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*c)*(2*c + 4*c + 0*c + (2 - 2 - 2*c)*(2 - 7 + 3)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42c3 - 63?\nAnswer: -4356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-5)**2 + -2.\nAnswer: 10123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12108, 12028, 11808, 11376, 10660, 9588?\nAnswer: 8088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-10) + 2 + -2. Which is the nearest to -0.1? (a) d (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = -10. Suppose 5*f = -4*v - 417, -5*f + 283 = -b*v - 84. Is (-16161)\/(-7) + -7*4\/v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447*1\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(28\/(-4))*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 5. Let m be (-3)\/(-2)*8\/6. Let q(v) = 4*v - 5. Let k(n) = m*q(n) + 3*g(n). What is k(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 453 - 495 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + -1*sqrt(264))\/sqrt(12))\/(sqrt(32)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w = 61 - 38 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64650*m**5 - 2710*m**3 - 137910781*m + 1.\nAnswer: -1293000*m**3 - 16260*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 663.7851835 + -635.10877. Let t = f + -18.67641307. Let q = t - 10. Round q to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 105.7?\nAnswer: 4333.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v - 13. Let z be k(-6). Let w = 41\/12 + -15\/4. Suppose 4*m - 6 = 4*h - 14, 5*m = -h + 14. What is the nearest to 2 in h, z, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 1\/6*y**3 + 0*y**5 + 0 + 0*y**4 - 34*y**2 + 0*y + 0*y**6 + 43\/210*y**7. What is the derivative of b(f) wrt f?\nAnswer: 172*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/257, 6, 2.6, -3.\nAnswer: -3, -3\/257, 2.6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -16. Let f be -4 + 0 + -1 - -1. Sort 5, z, f.\nAnswer: f, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167683 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/6, -0.1, 1422, -1\/16, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-7)\/5) - -11 - 2. Solve -16 = -2*w - 4*z, w + v*z = -2*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4*(21 - 1). Let i be 4*(4 - 3) + 0. Suppose 4*b + j + i - 7 = 0, -5*j = 3*b + 19. Solve c = -b*c + p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*i + 61*i + 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-3)*18\/(-72).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.07 - -0.07. Suppose 24*g - 27*g + 2*l + 1 = 0, -3*g - 2*l = -5. Let p = 2.2 + -2. Which is the nearest to g? (a) x (b) p (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 51\/12 + (-7)\/(-4). Suppose -26 = -2*j + 4*b, 0*j = -y*j - 5*b + 8. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 12 = 49*a - 104*a - 2*p, 4*a + p + 31 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 543806575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from wdwddwddddwwdd.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/(6\/18). Let v be (-2)\/j + 5\/20. What is the second smallest value in 2\/11, 0.4, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -3. Let r = -20 - -29. What is the remainder when -4 - (-41 + (z - -4)) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*z**4 - 3209*d*z**3 + d*z**2 + 211*d + 3*z wrt z.\nAnswer: 48*d*z - 19254*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*f**3*g + 2965*f**3 - 2*f**2*g - 12*f**2 - 152*f - 2 wrt f?\nAnswer: -162*g + 17790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.64 + -9. Round r to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -157*z**4\/4 - 20*z**3 + 165. Find the third derivative of y(s) wrt s.\nAnswer: -942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24664.226 rounded to the nearest 100?\nAnswer: 24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**3\/2 + 36511*d**2\/2 - 166622512*d - 166640768 = 0?\nAnswer: -1, 18256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*w + 5*h, -4*w + 20 - 60 = -2*h - 66 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-1)*(-4690)\/(-20)?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -3 - -6) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.1, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-5)\/2)*-4. Let i be 32\/20 + h\/5. What is the first derivative of 3*d**4 + 0*d**4 + i - 9 wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-4) + 225\/50?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 39*u = 80. Suppose -5*s + 74405 = -4*x - 6*s, u*x + 4*s = -93020. What is x rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/(-33) - (-1 - (-678)\/(-9)). Let u = -71 + k. Suppose -u*p = -5, -h + 6*h = p + 404. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**6\/180 + 2*s**3\/3 + 3*s**2 + 94. Let a(i) be the third derivative of h(i). Let b(c) = -37*c**2. Determine a(b(v)).\nAnswer: 2738*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -0.5, 0.46, 305?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 2 + 169 = 0. Let l(n) = n**3 - 9*n**2 + 3. Give l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 5*o**2 + 2*o - 4. Let b be s(4). Suppose 0 = i - 4*i - 90. Let k = i - b. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -854*l + 23475 - 8984 = 787*l - 65918 for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(12))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 2, 0.1, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 - 65*z + 3 + 65*z - 5*z**3 as m + d*z + q*z**3 + u*z**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244*z**2 + z**3 - z**3 + 5 + 6*z**4 - 2*z + 242*z**2 to the form m*z**2 + j*z**4 + p*z + x + w*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/2, -2\/17, 8, 2\/11, -2, -6633?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let j(k) = 31*k - 108*k + 34*k + 3 + 40*k. Determine -j(a) + 2*m(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 89*d = -90*d - 130, 0 = -4*a - 4*d + 140. Let r(n) = 20661*n**2 + 9*n - 126. Let u be r(a). Round u to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1079)\/(-130)*(-2)\/9 and 4 - ((-57)\/(-60) - -1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4685 + -121?\nAnswer: -4816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31048 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23484036, -46968050, -70452068, -93936090, -117420116, -140904146?\n\"Answer: -2*u**2 - 23484008*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x. Let f(i) = -8*i - 44786. Calculate a(f(r)).\nAnswer: 112*r + 627004","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i**3 + 9*i**2 - 8*i + 9. Let t(p) = -5*p**3 + 4*p**2 - 4*p + 4. Let x(q) = -6*s(q) + 13*t(q). Is x(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3441444 - 14?\nAnswer: -3442013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/60 + (-21)\/(-5). Suppose 5*c = 3*s - 18 - 3, -3*c + u*s - 17 = 0. Let i be (820\/c)\/((-2)\/(-12)). What is i rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(4*(-3)\/(-12)). Suppose -l = w + 5, 8*w - v*w + 25 = -4*l. Suppose -5*m + 4*d + 225 = 0, 103 = 2*m - l*d + d. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2649, 501, -3077, -8079, -14499, -22331?\n\"Answer: n**3 - 721*n**2 + 8*n + 3361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9910, -19818, -29712, -39586, -49434, -59250?\n\"Answer: r**3 + r**2 - 9918*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -0.054 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20654.\nAnswer: 2, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 613002?\nAnswer: -306501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -264541 - -2?\nAnswer: -264536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -1c18?\nAnswer: -1c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 32450\/(-8)) + (-2)\/8. Let d = 660967\/163 - l. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -412057 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4 - -9) + -11)*-1. Differentiate 1 - 27 + 7*l**4 - l**4 + y*l**4 wrt l.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 - w**2 + 6*w**2 + (2*w + 0*w + 0*w)*(-2 + 7 - 1 - 2 + 2 - 2 + 4 - 4 + 3 + (-3 - 2 + 3)*(-3 + 0 + 1) - 17 + 0 - 2)*(0*w - 2*w + 3*w).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 852644*s**2 - 1051014*s?\nAnswer: 1705288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331554 is divided by 2834.\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 90009260 a multiple of 1436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 - 4*v**2 - 16*v - 1. What is i(5)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 - 120*i + 81*i**3 + 3*i**2 + 119*i as n + g*i + q*i**3 + k*i**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19069361*n + 9534674*n + 9534687*n + 10*n**3 + 0*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/29 or 1?\nAnswer: -14\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**2 + 3984*q + 992016 = 0.\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 30 = -5*h. Let d(r) = -194 + 0*r**3 + 197 - 301*r + r**3 + 8*r**2 + 293*r. What is d(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v - 3*f, -2*v + 2*f + 12 = 4*f. Solve 4*y - v = 2*y, 0 = 3*r - 3*y + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*7538\nAnswer: 1432.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 101816859 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 43. Let x(l) = 0*l**2 - 47 + 92 - l**2 - 45. Give x(k(z)).\nAnswer: -9*z**2 - 258*z - 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.176 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/11 and 17\/628.\nAnswer: 6908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvp when three letters picked without replacement from pmzovpv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*q = 4*l - 502*q - 66, q + 233 = 12*l for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 221*v**5\/120 - 24*v**3 + 83. Let u(p) be the third derivative of i(p). Let r(s) = -2*s. Determine u(r(b)).\nAnswer: -442*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 3*y - 4*y)*(-36*y + 2 + 64*y - 31*y).\nAnswer: 6*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from xaxxxxxaxxaxxxx?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1029*t**2 + 16*t. Let i(g) = -1030*g**2 + 15*g + 1. Let y(b) = 7*i(b) - 6*k(b). Let l be y(3). Round l to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 5*f**2 + 6*f - 6. Let m be 6\/4*(-20)\/(-6). Does 8 divide p(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u - 533 + 23 = 7*u. Suppose -2*r + 213 = 5*f, -4*f + 5*r + 88 = -89. Calculate the remainder when f is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 612954.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 5*z + 1. Let x be v(-4). Put 1, -3, x in ascending order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 5*c = 1. Suppose 4*i = -z - c, -2*i = 3*z - 0*i - 7. Suppose z*l = -3*q + 102, -3*q = -l + 2*l - 24. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -66. Let u be (-372)\/(-90) + (-4)\/30 + w. Solve 0 = 2*a + u - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 731 and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -263 - -5?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 53*t - 156. Let m be n(3). Solve 3*p + j = 11, j + 16 + 3 = m*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z - 335 = -4*l, -4*l - 3*z = -329. Suppose -5*m = 5 - l. What is the highest common divisor of m and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -171*z - 855. Let v be r(-5). Solve 45*s - 305 - 55 = v for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2485326751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 155572560 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.34 to two dps.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497*l + 69 = -474*l. Suppose 0 = -2*i - 2*i - 2*u + 14, 5*i - 5*u = 10. Solve l*y = -0*y + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23899243.34 - 23365792.3572. Let s = w - 533539. Let h = 88 + s. Round h to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (696\/(-2030))\/((-4)\/5). Let u = 0 + -7. Which is the closest to 1? (a) z (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 3503*q - 21054. What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 17888 = 19*c. Calculate the greatest common factor of c and 1634.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, -0.249, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -414511*c**2 + 3969699 with respect to c.\nAnswer: -829022*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 949 = -3*j - 0*j, 0 = 3*j - 4*s + 985. Which is bigger: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2736)*-2*5 + 2 + ((1*sqrt(2736) + 3)**2 - ((-2*sqrt(2736)*-1)**2 + sqrt(2736))) + -3).\nAnswer: 60*sqrt(19) + 8200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(2736)*2)**2 + (sqrt(2736) + -1)*-1).\nAnswer: -65670 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-4390 - 9*y**2 + 6*y + 2191 + 2201).\nAnswer: 9*y**2 - 6*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/3013 in 560, 0.1, -0.1, 0.5, -5, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 115 - 155 = 0. Let j be (-68)\/(((-100)\/c)\/(-10)). What is the highest common divisor of 34 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19062135 and -0.7.\nAnswer: -19062135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*l - f - 4*f, -24 = -3*l + 3*f. Let i be 6*(l\/(-6))\/(-4). Suppose 3*b - 10 = i. Solve 0*j - 4*j + 16 = 0, 14 = z + b*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 4*s - 52, 3540*l + 3*s = 3545*l + 63 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 - 53*x + 13. Calculate the smallest common multiple of 1256 and t(-5).\nAnswer: 8792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1047042395 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 2*u + 2. Suppose 2*n = -5*w + 45, 0*w - w + 5*n = -9. What is the remainder when l(-3) is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7784 and 24?\nAnswer: -186816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -454.3 to the nearest ten.\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyssxsssszzszyyzs. What is prob of sequence ysss?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 526 - 14*l**2 - 1055 + 527 + 2*l + (4*l - 2*l + 0*l)*(4*l - l + 8*l) - 2*l**2 + 0*l**2 + l**2.\nAnswer: 7*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -153, -380, -669, -1020, -1433, -1908, -2445?\nAnswer: -3044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550821900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49854404 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r**3 - 25*r**3 + r**3 + 3*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -80*v + 4141143 - 1144743. What is the thousands digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*p - 4. Let b(c) = -15*c**2 + 1. Give b(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -7*m - 17. Suppose -1 + m = 5*s - o, s + o = 1. Let v be (-1 + (-12)\/(-2))\/1. Solve v*i + s*y = -y, 0 = -2*i + y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/7, 303 in descending order.\nAnswer: 303, -1\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9154061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.31643 micrograms in kilograms?\nAnswer: 0.00000003631643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:42 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 1, r: 5, y: 3, q: 2}. Give prob of sequence qrqm.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**3 + 5*q**2 - 10*q - 11. Let w(f) = -2*f**3 + f**2 + 2*f + 6. Give -k(z) - 2*w(z).\nAnswer: 2*z**3 - 7*z**2 + 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-6)*243\/(-18)*70\/(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 0. Suppose -14 + y = -4*z. Solve 0 = b + z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 99972.18 months?\nAnswer: 8.331015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 13*p**2 - 352*p + 1721. What is n(5)?\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 119. Let d be (1 - 10)*z + -5. Do d and 7\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1026\/35 + -2087\/70. Which is the closest to 117? (a) -3\/2 (b) x (c) 1\/4 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y - 2. Let z(s) = -s + 1. Let r(x) = -a(x) - 2*z(x). Let g(h) be the second derivative of 0 + 0*h**2 + 177*h + 1\/3*h**3. Give g(r(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -10. Let n = d + -10. Suppose 0 = -5*r + 32 + n. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7374 is divided by 818?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 21 = 4*y, 4*y - 1 = f + 8. Suppose -6*t + 3*t + 66 = -2*i, -i - f*t - 24 = 0. Let r = i + 51. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877060 is divided by 108.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -3) + -2 + (-2 - -15) + -43.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 103.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 + 27*q**2 - 128*q - 8. Give z(-17).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + n**2 + n + 6. Let v be l(0). Suppose -2*a - v = 2*a - z, 2 = z. Let u be ((-6)\/(-8))\/(5\/(-4)). Which is bigger: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - -7) + (-2 - (12 + -19)) + (20 - 17).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164675718 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7567, -25178, -54527, -95614, -148439, -213002, -289303?\n\"Answer: -5869*a**2 - 4*a - 1694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.5 (b) 3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270505?\nAnswer: 5, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 47672*b - 47549*b + 1726, b + 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 4 = 11*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226686, -5, 3, 6, -10 in ascending order.\nAnswer: -226686, -10, -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2728 in -0.1, 6\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -391 or 7375?\nAnswer: 7375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*w + 3*x, -3*x - 192 + 78 = -5*w. Let r be ((-80)\/w)\/(2\/(-3)). Suppose b = r*m + 6*b - 1560, 4*m - 3*b - 1213 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -8. Calculate the highest common divisor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 + l + 4. Let w be c(-5). Calculate the greatest common divisor of w and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -1023 in decreasing order.\nAnswer: 13, -1, -1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/((-11)\/(-3)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -45*z**3 + 30*z + 30. Let c(y) = 3 - 4*y - 8*y + 3*y**3 + 13*y - 2 - 4*y**3. Determine -30*c(k) + u(k).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 279 - 443. Let k = a + 350. Suppose -4*h + 790 = -l, -2*l - k = -3*h + 409. Is 23 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8557.864us?\nAnswer: 0.008557864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -0.2 (c) -151562 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1630 - -2331. Suppose -9*f - d = -8702. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0278157 to three decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166383603 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.59 and -564992.\nAnswer: -333345.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*p - 25, -p = 3*q + 14 - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 49*b - 91. Let t be o(2). Suppose -t*y - 3834 = -13*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 72?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10235, 10668, 11103, 11540, 11979, 12420, 12863?\nAnswer: 13308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 688390 is divided by 137597.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*h**4 - 4*h**2 + 2*h**2 + 1 - 3 as k*h**3 + l + w*h + c*h**4 + j*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*l + 29 = 0, 2*l + 49 = 5*s - 57 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 20*x + x - 6004*x**3 + 7*x + 5920*x**3 in the form h*x**2 + l*x**3 + d*x + g and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 72*w - 1172. Determine l(-22).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + 0 - (294 + -255)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0657 + -0.2657. What is the closest to g in -5, 8, 1\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 7*h**2 - 2*h - 7. Let l be r(6). Let z be 6*8\/3 + 1. Calculate the greatest common divisor of l and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvxvzvvvzxxvvzxzzx. Give prob of sequence xzzv.\nAnswer: 5\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20720\/232)\/10 - 2\/(-29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 210*q*v**5 + 1183*q*v**4 - 4*q*v**2 + q*v + 2912*q - 5*v**2 wrt v?\nAnswer: 12600*q*v**2 + 28392*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 4. Let j(m) = m**3 + 1. Let l(z) = -z + 10. Let y be l(8). Suppose 0 = -3*i + 3 + 21, 0 = -2*h + i - 10. Calculate h*a(d) + y*j(d).\nAnswer: d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*b - 4*l - 41, 2*b = 3*l + 19. Let w(q) = -6*q + 1. Let p(v) = -6*v + 2. Let y = -8 - -11. Let m(s) = y*w(s) - 2*p(s). Give m(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 5*z + 5. Let y = 101 - 98. Let m(c) = 33*c + 32*c - 62*c + y. Suppose 4*x = 2*x - 10. Give x*m(t) + 3*p(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-42)\/(-2))\/(-169 + 191)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-16))\/(11 - (-4345)\/(-396)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 0 = -5*y - 3*f, y + 12 = -2*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 16. Suppose q*f - 589 = 11. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875 is divided by (9 - 75)*(-9 + -4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 31809?\nAnswer: 127236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 + 431. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8439 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Let q(o) be the first derivative of -o**2\/2 + 30. Let p(h) = 5*h + 2. Give c*q(t) + p(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -448 (c) -5 (d) -0.4 (e) 3 (f) -4 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(27\/(1863\/(-46))).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14 - -30)*2\/(-4). Let j = 41 + c. Suppose 8 = 4*p + 5*x - j, 18 = 2*p + 4*x. Solve 2*d + 1 = p*z, 3*d + 8 = -4*z - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -180792 divided by -60264?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 10 = 3*w, -2*w - 3*w - 2*a = 4. Suppose w = -4*m + 2*c, 3*m - 5*c = 6*m. Let d = m - -2. Solve x + 4*b = -0*b - 2, -d*x = -b + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3491, -6982, -10473?\nAnswer: -13964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v + 30 + 2*v**2 - 6*v - 4*v**2 + 25*v as z*v**2 + f + y*v and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 13 (c) -0.4 (d) -254\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112.7 - 110.7. What is the closest to 4 in -0.07, -0.03, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 7, 4, -3, -7, 3 in descending order.\nAnswer: 7, 6, 4, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 22. Suppose -w + 14 = 52*o - 54*o, -o + 5*w = 25. What is r(o)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-296154)\/(-4)*12\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-253)\/(-44) - (37\/(-4))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 20. Let i be w(-9). Calculate the highest common divisor of i and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 180*n**2 - 19155*n - 2221. Give s(-75).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1210*y - 45*y + 346 + 819 = 0. Let w(g) = -4*g**3 - 5*g**2 + 6*g. Let m(s) = 3*s**3 + 4*s**2 - 5*s. Let j(l) = 5*m(l) + 4*w(l). Calculate j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**7\/630 + r**6\/180 - r**4\/36 + r**3\/18 - r**2 + 3. Let k(b) be the second derivative of l(b). Let k(h) = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9468, -9505, -9542, -9579, -9616, -9653?\nAnswer: -9690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190792 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*o + 384 = -128*o. What is the derivative of -6 - 116 + 8*r**4 - 17*r - o wrt r?\nAnswer: 32*r**3 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 1\/6*u**4 + 0 + 0*u**2 + 0*u**3 + 56*u. Let j(r) = -11*r. Calculate j(v(t)).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 1459648165.\nAnswer: 1459648165.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.1. Let l be ((-4)\/(-18))\/(140\/9450*-15). Sort l, 6\/7, q, -4 in decreasing order.\nAnswer: 6\/7, q, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 18 + 2 = -3*f, 3*k + 20 = 3*f - 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/383250 and 137\/13500.\nAnswer: 6898500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13295325.\nAnswer: 3, 5, 269, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4023 + 5?\nAnswer: -4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033265505 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -41325888?\nAnswer: 41325885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m + 218. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-z + 14 - 7*z - 16).\nAnswer: -16*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -595 + 727. Let f be (-38)\/6 + (-22)\/i. Which is greater: 0.04 or f?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 359, 3\/10 in increasing order.\nAnswer: 3\/10, 11, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48 + (-1 - 2) - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 9. Let f(p) = p**2 - 5*p - 17. Let v(l) = 5*b(l) + 3*f(l). Let s be 5\/(-1 + 6) + 0 + 2. What are the prime factors of v(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4586 - -5019. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 7:10 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -605*w - 5. Let g = 28 - 27. Let p be i(g). What is p rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11393 + -11385.959. What is l rounded to one dp?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2. Let q(b) = -1197*b**2. Calculate q(o(i)).\nAnswer: -4788*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - 2*u**4 + 2*u**4)*(0 + 1 - 3) + 1143680*u**2 + 2*u**4 + u**4 - 1145009*u**2.\nAnswer: u**4 - 1329*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 154431 (base 6) to base 14\nAnswer: 57d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -262*l - 36961. Determine y(-141).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874020 = -371*i + 351*i + 6500. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 4737 - 4737.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1413.532 litres?\nAnswer: 1413532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**3\/3 + q**2 - 1. Let j be p(-1). Let m be j + 4 + (-3)\/(-3). Put 1, 3, m in increasing order.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - q + 3*q - 13*q - 4*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*t = 5088 + 1104 + 394 + 642 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + (-3 - 0\/2). Suppose 0 = c*o - 9*o. Suppose 0 = -5*s - o*s + 145. Calculate the remainder when s is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (6 + -4 + 0 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - j)*(-j + 3*j**4 + j) + 3*j**5 - j**5 - 7*j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 9*i**2 - i + 61 + 61 - 127 + 3*i. Let u(l) = l**2 - l + 1. Calculate f(q) + 4*u(q).\nAnswer: 13*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2. Let w be h(10). Suppose 5*u = -3*f + 151, -246 - 17 = -5*f + 3*u. Suppose -w*m - f = -12*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 1\/2, -3, 8, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 18\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by 358.\nAnswer: 71\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 10, 5, 0.1, 17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4 = l. Let m = 20 + l. Suppose 5*a + 5*y = 3130, 4 = -4*y - m. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -438663 divided by -3\nAnswer: 146221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqfq when four letters picked without replacement from {f: 3, q: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*d - 46*d - 36*d + (-4 + 1 + 7)*(3 - d - 3) - d + 6*d + 0*d)*(-2 - 2 + 6).\nAnswer: 58*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5)*(-45)\/108*-4. Which is the closest to 0.1? (a) y (b) 3\/7 (c) 1 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-528)\/(-55))\/16*1\/(-1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -427, -2226, -5225, -9424?\nAnswer: -14823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/10*(-41)\/((-4018)\/(-4)).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32508)\/21)\/(-43))\/(12\/(-18))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408064799 to the power of 1\/2, to the nearest integer?\nAnswer: 20201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a625 (base 14) in base 7?\nAnswer: -366345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (4 + -9 + -2 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.27 + -1.27. What is the closest to j in 0.2, 5, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0*u**4 + 10*u**2 + 0*u + 0*u**6 + 0*u**5 - 19\/6*u**3 + 0 + 4\/35*u**7. Find the first derivative of b(d) wrt d.\nAnswer: 96*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574540910 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 5*i - 1 + 6*i**2 + i. Let f be t(-1). Factor -9*v**5 + 0*v**5 + 8*v**f + v**3.\nAnswer: -v**3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 349466 divided by -4\nAnswer: -174733\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00173749662 to 7 decimal places.\nAnswer: 0.0017375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -16*d - 1. Let x be 2\/(-6) - 14\/21. Calculate m(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 20 + 26)*(0*z**5 + 3*z**5 - z**5).\nAnswer: -66*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65385*r**3*y**6 + 163*r**3*y + 10*r**2*y**2 - 5 wrt y.\nAnswer: 7846200*r**3*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + 22. Let o be w\/(-4) - 42\/(-12). Solve o*u = -7 - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u = 38*u - 14*u + 70 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 571 = 2*u + 553 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1571*o*s + 9*o*x**2 - o*x - 6*s*x**2 wrt x.\nAnswer: 18*o*x - o - 12*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 1 + 7. Suppose -2*x - 6 = d. Suppose 22 - 2 = -4*k. Is x bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -3, 41406 in descending order.\nAnswer: 41406, 12, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (-2)\/(-6))*-6. Let p = d + 7. Suppose 256 = 396*i - 745*i + 413*i. Solve 2*h - p*z + 7 = -0*z, h = i*z - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -511866 at least -511866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 201737457.\nAnswer: 4\/201737457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/2 - -2)*(-26)\/(-39). Suppose n*c - 502 = -w - 99, 0 = -c + 3*w + 191. What is the highest common divisor of 40 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 257 + -243. Sort m, -3, -2.\nAnswer: -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58256)\/18536)\/((-11)\/(-21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5782, -26574, -61286, -109918, -172470, -248942?\n\"Answer: -6960*p**2 + 88*p + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v - 5 + 6 + v)*(220*v**2 - 405*v**2 + 58*v**2) to the form t*v**2 + u*v**3 + c + s*v and give u.\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24501 is divided by 159?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**4\/4 + 15*v. Let n(t) = -82*t**2. Determine n(j(h)).\nAnswer: -738*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6558924344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52188 (base 9) in base 14?\nAnswer: c78c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -103365 (base 12) to base 11\nAnswer: -164257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4\/3 (c) 2\/273 (d) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/3)\/1*21. Let q = -5 + u. Solve q*t = -4 - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 326014379 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2309, 2341, 2373, 2405?\n\"Answer: 32*i + 2277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21586 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90 - -290. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/1 + 4\/(-2). Suppose h = -4*s - 21, 19 = -4*s - 0*h + h. What is the closest to -1 in -2, s, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 918 and 11?\nAnswer: 10098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3313010282?\nAnswer: 2, 101, 16401041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-4488)\/969)\/88)\/((-1)\/(-3))\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 448*d**2 - 5*d - 45. Let v(h) = -448*h**2 - 6*h - 56. Determine -5*q(c) + 4*v(c).\nAnswer: -5*c**3 + 448*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/60 - 5*d**4\/24 - d**3 + 5*d**2. Let a be u(7). Solve 3*f - a = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2283*s**2 - 534*s**2 - 1540*s**2 - 1708*s**2 + 1503*s**2 to the form v*s + p + q*s**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 268615061.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + b**2 + 2*b + 62. Suppose 39 + 137 = 11*r. Calculate the remainder when c(0) is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 97. Let d(l) = -12*l - 2. Calculate the remainder when d(-3) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4. Which is the closest to -7? (a) i (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 35*f + 40. Let z be i(-1). Solve -6*c + c - z = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/28292 - -140819\/56584. Let w = -17\/8 + f. Are w and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*u - 691 = -1209 - 1488 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 582 = 2*x, x + 863 = 4*x - w. Let g(y) = -y**2 + 115*y - 3264. What is the smallest common multiple of x and g(62)?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 8439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*c)*(-18*c**2 - 4610 + 4610 + 13*c**2 - 1518*c).\nAnswer: 20*c**3 + 6072*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -1 + 4)**2 + 5 - (((sqrt(980) + sqrt(980)*2 - sqrt(980) - sqrt(980)) + sqrt(980))\/(sqrt(160) - -2*sqrt(160)) + -5).\nAnswer: 209*sqrt(2)\/6 + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216 = -h - 4*l - 226, 5*l + 35 = -5*h. Let o be (h\/(-48)*4)\/((-7)\/(-4)). Factor -4\/7 - 6\/7*m + 2\/7*m**2 + 6\/7*m**3 + o*m**4.\nAnswer: 2*(m - 1)*(m + 1)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 295*j**2 - 201*j + 286. What is p(99)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-seven fifths of a kilometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101000001000000100 - 100?\nAnswer: -10010101000001000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - (-425)\/(-51)) + 2\/(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c - 3*c + (-1 + 1 - 1)*(3824*c + 1836*c + 996*c).\nAnswer: -6658*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8957 - 8955. Solve f*p + 3*u - 6 = 0, 3*p + 0*u - 9 = -5*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**2 + 18*v + 23*v + 13*v)*(0*v + v - 3*v) to the form i*v**2 + y + n*v**3 + r*v and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10784 + -10784. Which is the fourth smallest value? (a) h (b) -0.01 (c) 3 (d) -2\/13 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*f**2 - 1 - 92*f**2 + 25*f**2 + 0 in the form n + s*f + w*f**2 and give w.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(-2\/7))**(-1\/13) assuming s is positive.\nAnswer: s**(-16\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 0.31 (c) 2 (d) 2\/7 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(75) + sqrt(12)\/(sqrt(4)*-1).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 2:18 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4722 - -0.1092. What is q rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 411 - 96. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1 + 5*r**3 + 0*r**2 - 2*r + r**2 - 7*r**3. Let m = 9 + -9. Suppose m = -3*k - 3*c + 6*c + 15, -3*k = 4*c + 13. Determine x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 5*t. Suppose -5*m - 4*w = -0*m - 5, -4*m + w = -25. Suppose 0 = -d - 3*k - 2 + 5, m*k = 0. Sort t, -5, d in decreasing order.\nAnswer: d, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, 15, 0, 5\/184?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/6)\/(-2) + -2. Suppose -65*p + 63*p - 14 = c, 0 = -5*c - 3*p - 14. Factor 16\/3*k - g*k**c - 64\/3.\nAnswer: -(k - 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771 < 770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 8:51 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 3*s**2\/5 + 3*s\/5 + 1\/5.\nAnswer: (s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.061569 and 3.569.\nAnswer: 3.630569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108 - 77) + (8 - (-8 - 2)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, 751, 1002, 1151, 1168, 1023, 686?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11811 - -13883. What is the highest common factor of 32 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1206 and 2412.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1398 + -1396. Suppose 0*t + 5*y - 4 = -2*t, -4*t = -5*y + 52. Let d be (t + 1)\/((-27)\/3). Is d bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 5*k**2 - 2*k**2 + 3*k - 10. Let y(r) = -2*r - 5. Let i be y(0). Let o be b(i). Sort 9, -3, o in increasing order.\nAnswer: -3, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8431 + 8531. Which is the fourth smallest value? (a) -0.2 (b) -2\/3 (c) 1\/5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5110899946906 less than 0.01?\nAnswer: -5110899946905.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -774*c - 1316*c - 690*c - 2309*c - 559*c to the form t + f*c and give f.\nAnswer: -5648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000211138806 rounded to 7 decimal places?\nAnswer: 0.0002111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 309, 6890?\nAnswer: 6890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggvg when four letters picked without replacement from {v: 3, m: 1, o: 7, g: 6}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + c - 3*c)*(-2 - 2 + 8).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2748 + -2793 - (-66 - 1)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 15*y + 3. Let l be m(15). Sort 2, 0, l in increasing order.\nAnswer: 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*m - 21*m - 37*m - 56*m - 24*m - 20*m.\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2523*l**2 - 497*l**2 + 1 - 1 + 16801*l**2.\nAnswer: 13781*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 22*g - 73*g + 3 - 5.\nAnswer: -95*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 - ((7 - 5) + 19 + -17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -7) + 2 + -4. Let z(d) = 53*d - 38. Let n be z(a). Round n to the nearest 10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7173, -13190, -19207, -25224?\nAnswer: -31241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6092533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 707145 in 1, 1\/3, -0.06?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (75 + (3 - 157))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 4*q + 16. Give v(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -31, -3\/5 in ascending order.\nAnswer: -31, -3\/5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 18. Let m be h(16). Let t(z) = 2*z**2 - 9*z - 8. Let b be t(6). Is -1 + (6116\/b - 20\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-418)\/77*(2 + (-1571)\/6). Let l = -1410 + d. Find the common denominator of l and -125\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 24 - 18)*(-8*u + 4*u + 24*u - 9*u).\nAnswer: 143*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11835798 divided by -82?\nAnswer: -144339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1504, -2963, -4408, -5839, -7256?\nAnswer: -8659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267434, 534010, 800590, 1067174?\nAnswer: 1333762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Suppose 2*v + 25 = 7*v. Is m at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/19 - 578*c**3\/19 + 2838*c**2\/19 + 578*c\/19 - 2840\/19 = 0 for c.\nAnswer: -1, 1, 5, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 23.9, 2\/8811, 40 in increasing order.\nAnswer: 2\/8811, 23.9, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -2 + 2 + 2 + (52 - 15 - -6)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (89 - 85 - (1 + -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + (0 - 13) + -4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*t - 4*t = 11, a - 3*t = -7. Suppose a*r + 3*r - 65 = 0. What is the remainder when 37 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + 2*c - 1083, 0 = -2*q + 5*c - 450. Let k = q - -557. What are the prime factors of k?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**3 - 60*v**2 - 2. Let x be m(6). Put -1, x, 67 in descending order.\nAnswer: 67, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:10 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326998, -327013, -327042, -327091, -327166, -327273, -327418?\nAnswer: -327607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12557229 - 12557179.000011. Let d = -50 + b. Round d to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 857*x = -858*x - 30, -4*j - 11*x - 42 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**6)**(-50))**(1\/38))**(-2\/5))**19 assuming f is positive.\nAnswer: f**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 0.0391.\nAnswer: -5.0391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/21, -7, 1292?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -723*d + 18746. What is y(26)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/32 and (1865352\/(-58368) - -32)*(-2 + 0).\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 + 1 + 10607*z**2 - 10651*z**2.\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 116890 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 27 = 3*o, 264*u - 267*u + 30 = 3*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (20 - 20) - 8 - (0 + -15)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 18*i - 2*w, i - 1201*w = -1203*w + 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 124 = 3*y, -61 = -3*y + 3*a + 62. Let u = y + -24. What is the second derivative of -u*x + 31*x - x**5 - 16*x + 7*x**5 wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69022211 to the power of 1\/3, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31824 is divided by 1511?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.4, -18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6220264l to millilitres.\nAnswer: 622.0264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20697781 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**4\/24 + 2*f**3 + 2*f**2. Let y be m(6). Suppose 2 = 4*q - y. Solve x - 2*k = 8, -x - 8 = -0*x + q*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**3\/3 + 7*t**2\/2 - 5*t + 2. What is the units digit of o(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -91*a + 143. Let z(o) = 38*o - 69. Determine 3*u(t) + 5*z(t).\nAnswer: -83*t + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-202584)\/5505*10\/(-56)?\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-184)\/69)\/((-2660)\/105).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2736 and 4392?\nAnswer: 166896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 2 + 24 = -16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*t - 49 + 53, 4*d = t - 17. Suppose 2*j + 3 + 1 = 0. Sort d, -10, -1, j in ascending order.\nAnswer: -10, d, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 2)*((-1)\/9)\/((-10)\/270). Let q = 21 + -3. What is the remainder when 23 is divided by (-54)\/p*60\/q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j - 47 = 4*p, -j = 5*p + 61. Let v(h) = -9*h + 26. Let u be v(p). Suppose -u = -s - s. What are the prime factors of s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 9:20 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2505 + -23222021?\nAnswer: -23215112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 8) to base 13.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4748.\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-10) - 4 - 0.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.07 + 25.087. Let k = 1.07 - f. Round k to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4245*m*x**5 - 179*m*x + 2*m + 3*x**2 wrt x?\nAnswer: 254700*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and 2610.\nAnswer: 107010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -33834.\nAnswer: 2\/5639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*h + 2*w - 58999995, 0 = -4*h - 5*w + 118000023. Suppose -5*f = -u - h, -4*f - 3*u + 11799994 = -2*f. Round f to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 93074915*a**2 + 118336902.\nAnswer: 186149830*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.4? (a) 0.3 (b) -2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvkvvkvvvkkvkvvvvv. What is prob of sequence vkv?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 6. Let t be g(5). Let l(c) = c - 3. Let b be l(4). Let w(o) = -5*o**2. Let r be w(b). Put r, t, 5 in decreasing order.\nAnswer: 5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1086*h - 74916 = 3072*h - 438*h + 412404 for h.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*w - 3*w + 683, -899 = -4*k + 5*w. What are the prime factors of k?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -2) + 3 + 10. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 5*g + 20, -f - 5*g + 25 = 0. Let l = 22 - f. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -335, -330, -305, -254, -171?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/1189, -0.18, 2 in decreasing order.\nAnswer: 2, 7\/1189, -0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 78 - 44*p - 21*p**3 - 1\/5*p**5 + 4*p**4 + 46*p**2. Find w, given that f(w) = 0.\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3510402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/589, -2\/177, 0.4?\nAnswer: 1\/589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3993238 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: ((14\/2)\/21)\/((-5)\/6)*-35\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21179 divided by -1.\nAnswer: -21179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 31, 29, 37, 61, 107, 181, 289?\n\"Answer: y**3 - 4*y**2 - y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 0.005, 28 in increasing order.\nAnswer: -7, 0.005, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4\/3 + 26272*s**3 - 5775179*s**2\/3 - 1944763*s - 1463498\/3 = 0. Calculate s.\nAnswer: -19777, -1\/2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/7 in -0.06, -1157, 2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 1. Let v be b(-2). Suppose -2*t - 4 = -z, 0 = 2*z + v*z - 2*t - 12. Let j(h) = 0 - 2 - 2 + h**z + 5. Determine j(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43241757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158530 or 158400?\nAnswer: 158400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/3)*s**(-3)\/s)**39 assuming s is positive.\nAnswer: s**(-91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**2 - 2*o + 2. Let q be x(3). Let s = q + 31. Suppose s = a + 2 - 4. Solve -r = -a*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 13 = 3*g, a - 4*g + 16 = 43. Suppose 14*i = -a*i + 423213. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwi. What is prob of picking 1 e and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/13800 + (-14410)\/759.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 9, o: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -11. Let w = -307\/12 - -105\/4. What is the smallest value in 0, w, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) 1\/10 (b) 0.6 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 233*b**4 - 11*b + 2 wrt b?\nAnswer: 2796*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16240 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*t + 2*t + 4*a, 0 = 4*t + 3*a - 41. Calculate the remainder when 1\/2 - 70\/(-4) is divided by t + -4 + 0 - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4 + 10911*l**3 + 3630*l + 271439149?\nAnswer: 8*l**3 + 32733*l**2 + 3630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or 277\/4?\nAnswer: 277\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 9*n**2 + 9*n - 7. Let v(l) = -l**2 + 8*l + 8. Let z be v(8). Let g be j(z). Let f = -16527\/31 + 533. Which is smaller: f or g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 15*d. Let k be x(-8). Suppose -6*y = -2*y - k. Calculate the remainder when 41 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 (base 13) in base 12?\nAnswer: -2a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 6. Suppose -4*k = -9*k + 3850. Suppose -10*d = -3*d + k. Let q be 53\/11 - 20\/d. What is v(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14018 = -1720*i - 61662 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4406?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9726608?\nAnswer: 2, 23, 26431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10312 - 24?\nAnswer: 10277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1800 and 83\/3118392.\nAnswer: 77959800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 101608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54459021 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-8)*m)\/m*m*m\/m**(-3)*(m*m**(1\/2))**43)**(-1\/32))**4 assuming m is positive.\nAnswer: m**(-127\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5587 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -363, -451, -537, -621?\n\"Answer: o**2 - 91*o - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**2 - 125*g + 120 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 5 (c) 0 (d) 0.5 (e) -0.09 (f) -2742 (g) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14155298 divided by 2.\nAnswer: -7077649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -1112?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 + -146 - (-1 + -17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 20 = 4*u. Let h = -1 + 0. Let q = 1.1 + h. What is the nearest to q in u, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-1)*3\/(-2) + 6. Suppose -5*o + x*o - 270 = 0. Round o to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, -5, 1\/49, -1.1, -24?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/9 - (-325)\/3. Suppose -11*n = -14*n + s. Let w(g) = -g**3 - 20*g**2 - g - 17. Let b be w(-20). Calculate the greatest common divisor of b and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*c + 132, 2*q - 2*c - 36 = 2*c. Solve -5*p = -q + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*s - 3*u + 1, -s = 4*u + 11. Suppose x - s - 1 = 0, 4*n - 5450 = x. What are the prime factors of n?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.8 and 0.3.\nAnswer: -2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20721*q - 10031*q - 30115*q - 25393*q.\nAnswer: -44818*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6529 and -63676.\nAnswer: 415740604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/12 + 5*p**2\/2 - 24*p - 1547. Determine h so that m(h) = 0.\nAnswer: 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270.09 + 274. Let a = 1.91 - o. What is the fourth smallest value in a, -4, -0.03, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 3*n + 4*l, 3*l - 9 = -n + 4*n + 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/81? (a) 1 (b) 0 (c) -5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - sqrt(70)*3)\/sqrt(5))\/(sqrt(7) - (sqrt(7) - sqrt(1008))).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -508 - -710. Let w = y - 201.5. Let u = -9.81 - 0.19. What is the biggest value in -4, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 2. Calculate the remainder when z(-6) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/11)\/n*n**3*(n\/((n\/n**(1\/3))\/n)*n)**(2\/5)*(n*n*n**(1\/12)*n*(n\/n**(-1\/5))\/n)\/(n*n**(-1)\/n*(n\/(n**(-7)\/n)*n)\/n) assuming n is positive.\nAnswer: n**(-637\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -6, -1068, 2, 16 in descending order.\nAnswer: 16, 2, 1, -5, -6, -1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/12*(-110)\/(-22)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1046 divided by 156.\nAnswer: -523\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -84204 and -0.825.\nAnswer: -84204.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4104487, 4104486, 4104485, 4104484, 4104483?\nAnswer: 4104482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1200100 (base 3) to base 5\nAnswer: -14344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) 130 (b) 0.2 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1817 - 1794. Solve -y*j + 41*j + 90 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/1592 + -500683\/1592. Which is bigger: n or -314?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.045211 + -0.0455. Round p to five dps.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-2*o + 5*o - 4*o) + o - 6*o + 4*o + 0*o + 2*o - 4*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 703432*d**2 + 4*d + 16490327 wrt d?\nAnswer: 1406864*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Factor 60*u**3 + 75*u**3 + 45*u - 24*u**2 - 132*u**3.\nAnswer: 3*u*(u - 5)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1612*u**3 - u**2. Let r be x(1). Suppose -315 = 5*b + 2*t - r, 5*t - 1290 = -5*b. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33590 (base 10) to base 3\nAnswer: -1201002002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 15.3. Let k = -0.07 + -1.63. Let i = s - k. Which is the biggest value? (a) -0.3 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -349a32?\nAnswer: 349a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.5305 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:12 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 18158?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 3*r + 2. Let q be d(-1). What is the units digit of q + (-1226)\/(-2) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 450*i**2 + 11685*i + 67240.\nAnswer: 5*(i + 8)*(i + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -20*x**2 - 3. Let f(g) = -93*g + 12. Let m(z) = -8*z + 1. Let o(d) = -f(d) + 12*m(d). What is o(k(w))?\nAnswer: 60*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-801)\/89)\/((483\/(-105))\/23)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370 and 24774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l - 275 = -51*l. Suppose 17*n + 35128 = l*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 474747\nAnswer: 31\/474747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmimmjkkmsmmm. Give prob of sequence kjs.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437824170.\nAnswer: 2, 5, 243782417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-2)\/(-4) - -10. Let j = p + -8. Let i(d) = -5*d**3 - d**2 + d + 1. Let f be i(-1). Solve -4*c = -f - j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 283, 294, 319, 364, 435?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 - 14\/(-42)*27 is divided by 498?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9)\/((-4)\/(-18)). Let v(a) = a - h*a + 3*a. Let m(t) be the first derivative of 3*t**2 - 4. Calculate m(v(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11625841, 11625840, 11625839, 11625838?\n\"Answer: -t + 11625842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -22*v - 79. Give b(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -60*v**2. Let d(m) = -6*m + 8*m - 6*m + 2*m. Determine d(b(n)).\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 9) in base 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -j - 5*z, -j + 4*z = -0*j + 1. Let m = j + -6. Let t(p) = -2 + 8 - 20 + 0 + p + 11. Determine t(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.633749 to 3 dps.\nAnswer: -1.634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 85 and 1.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/59))*a**(3\/26))\/(a**11*a)**(-3\/22) assuming a is positive.\nAnswer: a**(29845\/16874)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 706380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-55))\/(2\/16*4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35045, -58239, -81431, -104621, -127809, -150995, -174179?\n\"Answer: l**2 - 23197*l - 11849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 533.471 + -32140649.\nAnswer: -32140115.529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 388.9667 milligrams to grams.\nAnswer: 0.3889667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/6*(-2)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 1:45 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -83*a**3 + 36*a**2 - 21*a + 6. Let w(m) = -81*m**3 + 42*m**2 - 20*m + 7. Give 7*p(c) - 6*w(c).\nAnswer: -95*c**3 - 27*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {x: 1, a: 1, f: 3, p: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 740929 to the power of 1\/2, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.392242 to one decimal place.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*y - 18, -3*o = 4*y + 2 + 18. Let l = 51.6 - 51.3. What is the second biggest value in o, l, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/105 + 8*(-1246)\/280?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 538*z**2 + 34728*z - 67320.\nAnswer: 2*(z - 165)*(z - 102)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 times 134526?\nAnswer: 7398930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -277892 and 10777012.06.\nAnswer: 10499120.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, -10, 3, -7, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:18 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 243 = -7. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 628, 1266, 1904, 2542, 3180?\n\"Answer: 638*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:32 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45110907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 72\/43, 3, -5\/2, 20\/9, 2\/9 in decreasing order.\nAnswer: 3, 20\/9, 72\/43, 4\/9, 2\/9, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**0)**(-12\/7)*((b\/(b\/(b\/(b**(-2\/7)*b*b))))\/b)\/b*b\/(b**(-7)\/b) assuming b is positive.\nAnswer: b**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 11 = 5*b, 5*b - 4*b = -2*l - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i\/(i*i**2)))\/((i\/i**(-6)*i)\/i))\/(i*(i*i*(i*i**(1\/7)*i)\/i)\/i*i\/i**(-1)*i))\/(((i**(-1\/7)\/i)\/i)\/(i**(1\/3)*i))**(-1\/6) assuming i is positive.\nAnswer: i**(-211\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1965?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 84.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -5, -7.48, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3418 = 3571*c - 3804*c - 7766 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*z + 3636 = -253*z. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9464 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 338?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13713216 by -2752.\nAnswer: -4983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19d1 (base 14) to base 6\nAnswer: 33415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2359181 and 4?\nAnswer: 0.9436724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 414 = 4*v, -3*v + 38 = -4*d - 289. Suppose 0 = -6*u + u + v. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 0*c**3 + 0 + 0*c + 11\/24*c**4 + 2*c**2 - 1\/30*c**5. Find the second derivative of q(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -89 - -44 - ((-19 - 15) + 20)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w - 28. Let k(v) = 13*v - 42. Let l(z) = -7*h(z) + 5*k(z). Differentiate l(c) with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h - 3\/5*h**5 + 3\/5*h**2 + 0 - 3\/5*h**4 + 3\/5*h**3.\nAnswer: -3*h**2*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0371 plus -66.3?\nAnswer: -66.3371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 64 = 0. Let q be (2\/4)\/(2\/f). Suppose -q*a = -0*p + 3*p - 75, -a = -3*p. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50012140 (base 6) to base 4.\nAnswer: 11112021330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 178. Let j = c - -233. Let z = -223 + j. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 19*c**2 + 2*c - 16. Let m be w(-13). Suppose f - 5*f = -m. What is the greatest common factor of 27 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*r + 1\/6 + 1\/6*r**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5779907 to two decimal places.\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 54*g + 54. What is r(53)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*o**3 - 3*o**3 + 30*o**3.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6688695 is divided by 604?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/42)\/(6\/(-28)*524\/393)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2\/4 + a\/4 + 3\/2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1567 - 18767\/12. Let u = -2\/13379 - -43399\/21821149. Let p = u + 105997\/9786. Find the common denominator of p and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a century in months?\nAnswer: 17200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*h = 3*q - 73, 2*h = -q + 9. Suppose 4*x = -5*y - 45, 0 = -4*y + 9*y - 5*x. Is (-4)\/10 - q\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/779168 and -17\/270?\nAnswer: 105187680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.1 - -33.1. Put l, 1, -344, 4 in decreasing order.\nAnswer: 4, 1, l, -344","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/34809 and -20\/99333.\nAnswer: 4072653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:42 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74278?\nAnswer: 2, 37139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 329816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**5*w + 8*b**4*w**2 - 2*b*w**2 + b*w - 6*w**2 + 17 wrt b.\nAnswer: -180*b**3*w + 96*b**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -626990 or -626991?\nAnswer: -626991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3464?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -23 + 57 + -77.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 10. Suppose 0 = 4*r - 2*x - 10, 1 = 5*r - x - 7. Sort v, r, 0.\nAnswer: v, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**7\/1260 + p**6\/180 + p**4\/3 + 2*p. Let d(r) be the third derivative of k(r). Factor d(f).\nAnswer: -2*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.56 + -1.66. What is the nearest to 0.1 in y, -3, 0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1155810 and 91\/110.\nAnswer: 12713910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = 6. Suppose 2*d - 22 = -4*r, 2*d - 4 + y = 0. Solve -r = u + 3*h, u + 2*h + 2 = -0*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/60*-6*4\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 - 3*p**2 - 4*p + 1. Give s(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 180 = -4*k - 10, 5*o - 834 = -4*k. Let j = o + 14. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 336 = -f, 10*d = -f + 14*d + 321. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0 - 1) + 14. Suppose -3*c = -5*c - 5*r + 18, -4*c + 2*r + k = 0. Let a be (5 - c)\/(2\/6). Solve -a - 3 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a = 3*f + 30*a + 9, 5*a + 9 = -3*f. Let n(i) = -i + 7. Let j(d) = -d + 3. What is f*n(h) + 7*j(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j. Suppose -4*v - v + 31 = -3*o, 3*v - 23 = 4*o. Let s be c(o). List the prime factors of (-5 + s)*-1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2. Let a be b(6). Suppose a = -0*c + c - 236. Suppose -11 = -s + c. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0 - 4*t + t + 1 - 2. Let h be j(-1). Suppose 0*l = h*l - 48. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0444563 - 0.0445. Round n to 6 dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r**2 + 6*r. Let u(j) = j**2 - j. Calculate -5*u(d) - y(d).\nAnswer: 3*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43730 is divided by 4265.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-17)*s*s**(-30)*s**(-5)\/(s*s\/s**(-15\/7)) assuming s is positive.\nAnswer: s**(-386\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p - 55*p = 363 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2439 + 2816. Calculate the greatest common factor of y and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - (49 + -47)) + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4944708123.3591 plus 0.3?\nAnswer: -4944708123.0591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 350807?\nAnswer: 1052421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301155 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 + -210. Solve -b = 2*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-84) + 26*(-4)\/(-24). Factor 1\/4*l - 1\/6*l**2 - 1\/6*l**3 - 1\/12 + 1\/4*l**4 - 1\/12*l**k.\nAnswer: -(l - 1)**4*(l + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 + 152*u**2 + 4*u - 152.\nAnswer: -4*(u - 38)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Let x = -19 + 52. Calculate the remainder when x is divided by 6*(h - (-4 + 3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:57 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0*n**4 - 2\/3*n**3 + 0*n - 20*n**2 + 1\/60*n**5 + 0. Calculate p(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 132. Let w = 68.99999958 - v. Round w to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -469, -465, -451, -421, -369?\n\"Answer: l**3 - l**2 - 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(1\/2)*m))**(2\/29)*(m\/((m*m\/(m\/(m*m\/(m\/m**(-1)))))\/m))**(-10) assuming m is positive.\nAnswer: m**(-291\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:10 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-692514)\/(-54)*(-1 - -4) - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -668*s**4 + 26*s**4 + 14 + 40*s**4 + 7*s**2 wrt s.\nAnswer: -14448*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -9. What is the third derivative of 8*f**2 + 4*f**6 - 19*f**2 + 4*f**z wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(28)\/sqrt(4) + 2)**2.\nAnswer: -66 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 + 33?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(10\/4)*(-225)\/15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)\/l)\/l)**35*((l\/l**(-5))\/l)\/(l*(l\/(l*l*(l**(-1\/12)*l)\/l)*l)\/l*l*l)*(l**(-12)*l\/l**(-1\/5))**(-44) assuming l is positive.\nAnswer: l**(23437\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 28*b**2 + 35*b + 92. Is y(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 678\/5, -3\/7, -18, 1\/4, -0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0.5. Let p = 353 + -461.9. Let v = -109 - p. What is the second biggest value in v, -1\/4, -1\/3, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.13 - -5.67. Let t = -136.8 + z. Let f = -130.09 - t. Round f to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 34*o**2 - 27*o + 854. What is c(16)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13170 is divided by 222?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x + 37. Let b be z(5). Suppose -246 = -4*n + 2*q, -2*n = -7*q + b*q - 127. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1014503 (base 6) to base 3.\nAnswer: -2111012210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 14*f + 26 - 12*f - 31*f**2.\nAnswer: -31*f**2 + 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 208736?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 18*v + 9. Let u(p) = 26*p + 13. Let n(x) = x**3 + 22*x**2 + 2*x + 51. Let i be n(-22). Let j(r) = i*y(r) - 5*u(r). What is j(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evvvbeaeae. Give prob of picking 1 v and 2 a.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.2. Let a = k - 0. Let c = 5.041 + -0.041. What is the nearest to a in -0.5, -3\/2, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -20255\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o + 5 = 0. Let n be -6*6\/(-9) + o. Determine x so that -44\/9*x**2 - 26\/9*x + 20\/3*x**4 + 14\/9*x**n - 4\/9 = 0.\nAnswer: -1\/2, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, j: 7}. Give prob of sequence jxjx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w = 101*w - 28*w. Determine m so that -4\/9*m - 2\/9*m**4 + 0*m**3 + w + 2\/3*m**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 5\/6, -28, -0.5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(3\/5)*h*h)*h**5)\/((h*((h\/(h\/((h*h\/((h*h\/h**(-7\/3)*h)\/h*h)*h*h)\/h*h)))\/h)\/h*h*h)\/h**(3\/2)) assuming h is positive.\nAnswer: h**(157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5 + 2*p + 0 + 0 - 4*p. Let l be z(-3). Suppose -l = -3*q + 28. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/4348109 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 16. Let z = i - 33. What is the first derivative of -z - 22*d**2 + 32*d**2 - 10 wrt d?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 45*b**2 + 14889*b - 1911. Determine k(-331).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39623878 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -1. Suppose 0*u + 4*u = -4. What is the nearest to u in -0.1, g, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 9:17 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 4. Let h be o\/(-3 - 16\/(-6)). What is the units digit of (h\/2)\/((-6)\/(-28))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/84)\/(1\/2 - (163 + -162)).\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 + 19*z - 55 + 108 - 2*z as v + u*z and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**3 - 52*n**3 - 16*n**3 - 45*n**3 + 8610*n**2 - 8610*n**2.\nAnswer: -141*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -8. Suppose 6*b - 39 = a*b. Suppose -4*o - b = 7, -3*z + 22 = -2*o. Calculate the remainder when z is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = m - 4*y, 15*m - y = 17*m - 8. What is the closest to m in -0.4, -254, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + 8*s**2 - 8*s - 7. Let b(l) = -13*l**3 + 31*l**2 - 31*l - 28. Let f(z) = 2*b(z) - 9*m(z). Let g be f(9). Solve -g + 16 = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1690)\/(-300) + -6 - (-2)\/12\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38282 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78159520 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - d**2 - d - 7. Determine h(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 4*i**2 - 2*i**2 + (-2 + 2 + 1)*(-1 - 1 + 4)*(-3 - 1 + 5)*(-209 + 34 - 26)*(3*i + 2*i**2 - 3*i).\nAnswer: -805*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 293 - 293. Solve -k + y - 7 = c, -2*k + 0*y = -4*y + 16 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*k + 6 = 0. Let h be -3*k\/(-9)*-1. Let n = 4 + h. Solve -4*g = 5*o - 4, 0 = 5*g + o - n*o + 28 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 9, 0.5, 3\/4 in descending order.\nAnswer: 9, 3\/4, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 5*s + 6. Let n be d(-4). Suppose l + 4*z - 48 = n*z, -l + 5*z + 41 = 0. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-6*sqrt(240)\/sqrt(5)*4 - (sqrt(27)\/(sqrt(45)\/sqrt(5)) + 0 + -2 + sqrt(3))))**2.\nAnswer: -392*sqrt(3) + 28816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 186 + -81. Suppose 3*d + 2*k + t = 0, -42 = 2*d - 4*k + 28. Let w = d - -36. What is the greatest common factor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 7*r = -9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 8 + 3*m**2 + m**3 + 10 + 0 in the form r + d*m**3 + b*m**2 + a*m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.7 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839323 at least 2839332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 195 and -623592.\nAnswer: -623397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79957 is divided by 7995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 4:46 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = -5*c + 5, 0 = -5*q. Calculate the greatest common divisor of 8 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.3 + 0.3. Let v = m + -2.64. Round v to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -273.462 rounded to zero decimal places?\nAnswer: -273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 306, 246?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 199*b - 9298. Let g be d(124). Put -4, g, -57, 32 in descending order.\nAnswer: 32, g, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -110, -421 in increasing order.\nAnswer: -421, -110, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171381319 is divided by 2630.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*o - 157*o - 283 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 288 from -105319917.\nAnswer: -105320205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282351 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9174 + 1689. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21274 - -42528. Is (v\/(-4))\/(39\/(-18) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 899*n + 31902. Calculate o(-37).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -149\nAnswer: -148.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + -9 - -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6280 = -5*r - 2*k, -4*r - 4*k = 5040. Let u = r - -4176. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeegeegge. What is prob of picking 1 e and 3 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhii when four letters picked without replacement from hhhii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 2\/7, -1434?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*l = 78*l + 4600. Suppose 0 = 4*j + 436 - l. Calculate the remainder when 208 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 48 = y. Let m = -89 - -121. What is the greatest common factor of m and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**3 + x**2 - x. Suppose -93*v = -84*v - 9. Let j(b) = -30*b**3 - 10*b. Let m(h) = v*j(h) - 10*u(h). What is the third derivative of m(q) wrt q?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 158*p**2 + 18*p - 63. Does 105 divide j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from vvvvvlvlvlelvlllvlvv.\nAnswer: 77\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21881*n**2 + 10614*n**2 - 2*n + 9926*n**2.\nAnswer: 42421*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6428*i**3 - 6427*i**3 + 4*i**2 - 4*i**2.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/9 + 244*j**3\/9 + 1904*j**2\/3 - 1646144*j\/9 + 51566848\/9.\nAnswer: -2*(j - 68)**3*(j + 82)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**3 - 1297*c + 1297*c - 562*c**3.\nAnswer: -579*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2912114768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:42 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by (18\/(-5))\/((-154)\/770).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28223?\nAnswer: 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 306 - 3976\/13. Let z = 5.8 + -5.9. Which is the closest to d? (a) z (b) -0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28041807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 211*w + 831. Let c be h(-4). Put -3, -1, 1, c, 5 in decreasing order.\nAnswer: 5, c, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 4, e: 1, j: 2, t: 2}. What is prob of picking 2 j, 1 t, and 1 e?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (884\/(-4352)*16)\/(((-2)\/(-2))\/4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-nine halves of a century?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -78*t. Let n(x) = 14*x**2 - 171*x - 11. What is q(n(k))?\nAnswer: -1092*k**2 + 13338*k + 858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001000 (base 2) in base 5?\nAnswer: 10322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 - 6*g**2 - 25. Let x(i) = 3*i**3 - 8*i**2 + 1. Give 4*k(y) - 3*x(y).\nAnswer: 3*y**3 - 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + g - 1. Let n be f(1). Solve -2*b + 8 = n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2 = -f + 6, 0 = -3*k - 3*f + 36 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212101 + -2222?\nAnswer: 202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6369 - 6255 + 464*j - 462*j.\nAnswer: 2*j + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15499 - ((-77)\/28 + (-7)\/28)?\nAnswer: 2, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12226410 is divided by 11589?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**3 + 11 + a**2 + 2*a**2 - 7292*a + 7289*a + 2*a**4 + 15*a**2 to b*a + p*a**2 + m + u*a**3 + k*a**4 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (41 - 48) - (-5 + 71)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 2 - 4 - 2*q - 1. Let c be j(-2). Suppose b = k - 30, -k + 1 = 3*b - c. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 632*x**2 + 9468*x - 184. Determine f(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14512 or 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -22182.\nAnswer: -2\/3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p - 11 = -v - 63*p, -2*v + 5*p - 48 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 17 = -4*y + 3*y, 0 = 3*y - 5*n - 34. Let f be 60\/14 + 6\/(-21). Let i(q) = 3*q - 1. Let p(k) = -2*k. Let m(d) = f*p(d) + 3*i(d). What is m(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1145 - 2?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -149 - -150. Let r(o) = o**2 + 6*o + 1. Let m be r(-6). What is the highest common factor of n and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112306 and 84?\nAnswer: 4716852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275081325?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13991\/7 + 1999. Which is the nearest to p? (a) -3\/2 (b) 1137 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -115 - -130. What is the remainder when 59 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 5*r + 6. Let o be z(6). Let k(y) = -5 + o*y - y + 1. What is the units digit of k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 41*f**2 + 76*f + 79. What is the units digit of a(39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 4)*(2*y - y + 0*y)*(11436 - y - 5972 - 5923) to o*y**2 + m*y + p and give m.\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -8*t + 130 - 50, -5*t + 3*l + 30 = -47 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 165 + -168. Let i(t) = 6*t**3 - 4*t - 4. Let n(s) = 11*s**3 - 7*s - 7. What is u*n(d) + 5*i(d)?\nAnswer: -3*d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 + 15*o**2 + 2. Let z(l) = 7*l**3 + 33*l**2 + 4. Let u(w) = -9*c(w) + 4*z(w). Let y be (3\/5)\/((-4)\/(-20)). Calculate u(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 3*y**2 + 2*y**2. Let s(f) = -7*f. Determine s(x(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*h + 1308*h + 16643 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 111.5 - 111. What is the nearest to 1 in -0.2, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(3087))**2*-4 - sqrt(3087) - (3 + (2*sqrt(224) - sqrt(224))\/sqrt(2)).\nAnswer: -12351 - 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 5, 911\/3?\nAnswer: 911\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/247)\/(1386\/8778)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 0*m + 2*m. Let d(y) = 113 + 109 - 321 + 100 - 6*y. Suppose 9 = -3*l, -2*l + 7 - 14 = -r. What is r*d(w) + 3*h(w)?\nAnswer: -3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 7. Factor 3*n**4 + 6*n**o - n**3 - 10*n**4.\nAnswer: -n**3*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2097, 2093, 2089, 2085, 2081?\nAnswer: 2077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/48)\/(1 + -2). Let d(k) be the first derivative of k - 1\/2*k**2 + 1\/2*k**4 - 2\/3*k**3 - q*k**6 + 1 + 1\/5*k**5. Factor d(c).\nAnswer: -(c - 1)**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(2\/(-29) - 186\/(-174)). Solve -3*s = -s + 8, -m*f + 4 = -s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6839664.2 - 4811?\nAnswer: 6834853.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2289097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 31*b - 1. Calculate the remainder when u(-23) is divided by 5 + -4 - (-2 + -34).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d + 2. List the prime factors of p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-24))\/((-135)\/3402))\/6.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 0.04, 0.1 in increasing order.\nAnswer: -0.4, 0.04, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.18 and -0.5.\nAnswer: 11.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3\/3 - 9*i**2\/2 + 8*i. Let y be t(-6). Factor 0 + 0*d**2 - 2\/9*d**y + 2\/9*d.\nAnswer: -2*d*(d - 1)*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 7) in base 6?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + a**2 + a - 6. Let f be l(0). Does 11 divide 8\/f - 103\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a day in hours?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 561602, 246, 5 in descending order.\nAnswer: 561602, 246, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -57*x - 41*x - 56*x - 52*x + 257*x - 56*x. Let r(q) = 2*q**2 + 3*q**2 + 9*q**2. Determine r(d(u)).\nAnswer: 350*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 1472*g**2 + 111953*g\/2 - 1949255.\nAnswer: (g - 22)*(g + 61)*(g + 2905)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -97.56 + 243.56. Sort d, -1\/25, -0.3, 3 in descending order.\nAnswer: d, 3, -1\/25, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i + 4*j, i + 3*j - 2 = -i. Which is the closest to 0.1? (a) 4 (b) i (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b - 2. Let i = 52 - 59. Let d(c) = 5*c + 4. Suppose 0 = l + 3. Let w(q) = i*z(q) + l*d(q). What is the derivative of w(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 14 + 17. What is the remainder when 19 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30079759 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 44830, 44843, 44856?\n\"Answer: 13*j + 44817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 t, and 1 y when four letters picked without replacement from {u: 7, y: 9, t: 3}.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 81, 118, 111, 60, -35, -174?\n\"Answer: -22*u**2 + 103*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 83 = -281. Calculate the greatest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**5\/130 + 2*h**4\/39 + 7*h**3\/13 - 56*h - 26. Let l(t) be the first derivative of u(t). Factor l(d).\nAnswer: -2*d*(d - 7)*(d + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*(((p\/(p*p*p**6*p))\/p)\/p)\/p)\/(p**7)**36 assuming p is positive.\nAnswer: p**(-268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 185\/8?\nAnswer: 185\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (-3533471 - (-3 + 0)). Let p = d + 833463. What is p rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/3)*i)**(3\/8))**35)**27 assuming i is positive.\nAnswer: i**(945\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w**4 - 4*w - w**2)*(1 - 1 - 3*w) + 1 + 3*w**5 - 1 + (5*w**2 - w**2 - 2*w**2)*(w**3 + w**3 - w**3).\nAnswer: 8*w**5 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2476 - -2594. What is the remainder when 20885 is divided by t?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/48125 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 4 + 2*w**2 - w**2. Suppose -6*i + 24 = 2*i. Calculate q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000025902 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*s - 3)*(-s - 3*s + 2*s) - 535*s**2 + 107*s - 1021*s**2 - 107*s.\nAnswer: -1560*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*q - 2*q. Let n be (-1 + 0)*(3 + q). Let u = 9 + n. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 13*j + 24 = 6*j - 15*j - 29 + 22, 8*v = 14*j - 74 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 291 + -146. Suppose -o = -5*c + 5*k, 2*c - 6*c = -2*k - 110. Let w = c + -24. Solve w = -4*l + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 178 = -264*b + 265*b, 0 = j - 2*b + 199. Put 0, j, 5 in decreasing order.\nAnswer: 5, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 4*x + (-5 + 0 + 3)*(5*x - 4*x + x) - 5*x + 2*x + 5*x)*(3 + 3 - 4)*(43 + 37 - 83).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3104950\/119 + 26092. What is the third biggest value in 0, -34, o?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-7\/3)*((z*z**(-1\/6)*z)\/z)\/z*z\/z**2 assuming z is positive.\nAnswer: z**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1672 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 49 = 5*s. What is the remainder when 33 is divided by (-16)\/4 - (2 - s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 9:44 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 15*f - 11. Suppose -6*p + 169 = 7*p. Let b be x(p). Solve m = c + 4, 9*m = -2*c + 4*m - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 658.54?\nAnswer: 658.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 10:08 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 13) to base 4\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = 0, 4*r = -n + 28. Suppose -3*g - 328 = -r*g. Suppose -b = -5*z - 0*b + 98, -4*z - b = -g. What is the highest common divisor of z and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 496 and 620?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**2 - 48*i - 112 = 0. Calculate i.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -19*b + 45. Give k(14).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -1079, 2 in decreasing order.\nAnswer: 5, 2, -13, -1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/2, 1, -6, -1\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s - 0*s. Suppose 42 = 3*x + s. Find the second derivative of 10*j + 8*j + 8*j**2 - x*j wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**3. Let n(t) = -24*t**3 - t**2 - 2*t + 22. What is -n(d) - 5*r(d)?\nAnswer: 4*d**3 + d**2 + 2*d - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 19. Suppose f + 8*f = s. Solve -m + j + 8 = f, j + 0*j = 4*m - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -933433\/759124 + -7\/4388. Let s = 17551\/4152 - n. Calculate the common denominator of -139\/18 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1078145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 4, j: 6}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -16*t - 2. Let z be j(-7). What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2. Let v(x) = 18*x**2 - 14*x - 19. Let y(c) = -5*j(c) + v(c). What is the units digit of y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d = 22. Suppose -3*n = 2*f - 6*n - d, 2*f = -5*n + 54. What is the remainder when f is divided by 0 - -3 - (3 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195*t + 83*t - 24*t)*(2 + 1 - 4)*(22 + 1 + 7).\nAnswer: 4080*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -35225, -70447, -105669, -140891, -176113?\n\"Answer: -35222*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1492*-0.273.\nAnswer: -407.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 17 - 28 - 14 - 2*c to the form f + z*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2719 - 2708. Let n be (-4)\/((-10)\/(-25)*5). Suppose 4 = -q + 2*q - 5*r, -q - 3*r + 4 = 0. Put a, q, n in decreasing order.\nAnswer: a, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (((-25)\/10)\/1)\/((-5)\/940) and 376.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + n - 26*n. Let v(u) be the third derivative of -1\/150*u**5 + 0*u**3 + 0 - 1\/600*u**6 + 0*u**4 + 2*u**2 + n*u. Factor v(g).\nAnswer: -g**2*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40235 and -41393.956?\nAnswer: 1158.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 1, q: 7}. What is prob of picking 1 f and 2 d?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5940 and 38550820?\nAnswer: 1040872140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoqeqneqjllqjn. What is prob of picking 1 n, 1 l, and 2 j?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 (base 9) in base 11?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-28)\/(-8) + -3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -250864.824 greater than or equal to 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12904 (base 10) to base 12.\nAnswer: 7574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**5*z*z\/(z\/(z\/(z\/(z\/z**10)))*z)*z*(z\/(z**(3\/5)\/z))**(-1\/30) assuming z is positive.\nAnswer: z**(-307\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -2 in ascending order.\nAnswer: -5, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -426, -726, -1036, -1356?\n\"Answer: -5*l**2 - 285*l - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 f when three letters picked without replacement from avfavvttvavat?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -0.3 (c) 58 (d) -0.4 (e) -0.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(3\/8)\/r)*r**(1\/3))\/(r**(-2\/5))**(-13\/5)*r**(1\/11)*r**(-6)*r*r**(2\/7)*r*r**(-5\/6) assuming r is positive.\nAnswer: r**(-54491\/15400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 3079264.\nAnswer: 3079264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - 20, -3*j + 34 = -5*o. Let l = 12 + -26. Let r = -5 - l. Solve -2*k + j - r = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 - 3*q - 2. Let g = 18 - 14. What is b(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109470746.\nAnswer: 2, 7, 11, 710849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1) + 3*3. Let l = i - 10. Solve l = x + x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.89 + -8.9361. Let u = 4.7061 + f. What is u rounded to one dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 - p + 5. Let x be a(6). Suppose -11*t + 6*t - x = 0. Let f be ((-1)\/2)\/((-6)\/60). Put f, 4, t in descending order.\nAnswer: f, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -2 - (3 - -1)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.337 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3059 in -1\/3, -1, -8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkbadekbaakaaenka. Give prob of picking 2 d, 1 k, and 1 n.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 502*l - 246*l - 252*l.\nAnswer: 2*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/(-9) + 2\/9. Let n be (-80)\/(-36) - (-2)\/(-9). Does c = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2929 - (-15)\/(-10)*(-2 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(2*o**4 + o**2 - o**2 + (-2*o - 2*o**4 + 2*o)*(-2 + 1 - 1) + 3*o**3 - 3*o**4 - 3*o**3 - 2*o**4 + 0*o**2 + 0*o**2).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Suppose -6*m - 2 = -26. Let j(a) = m*a**2 - 17*a**2 + 7*a**2. Give j(r(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+632\nAnswer: 632.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5684574 divided by -6\nAnswer: 947429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 = x, 14164*z = 14160*z + 3*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8000513 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 541*f + 69. Let t be m(1). Let k = -601 + t. What is the highest common divisor of 8 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnmanfx. What is prob of sequence nxn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 848 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5129 - -5136. What is the third smallest value in 28, 5, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(5) - sqrt(5))**2*-6.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 2:44 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*d + 2142, 7*d - 4*d = 5*t + 2678. What is t rounded to the nearest 10?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 10 (b) 3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 6 = -4*w. Determine p so that -1\/4*p + 0 + 0*p**2 + 1\/4*p**w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - d - 3531 = 187, -3*y - 3*d = -3750. Calculate the remainder when y is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3\/3 - x**2\/2 + 5*x + 25. Give b(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 2050412*y - 4100828.\nAnswer: (y - 2)*(y + 2050414)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w + 9. What is k(9)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbbsbpbpbppbsb. What is prob of picking 2 s?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 - -40. List the prime factors of 54 + 20\/l*-5.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1184, -1075, -966, -857, -748, -639?\n\"Answer: 109*b - 1293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -124, -180, -250?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22243 and 121017.\nAnswer: 7140003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2 + sqrt(7) + sqrt(7))*3 + 2)*5.\nAnswer: 25 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 - 24*a - 12. Let c(f) = f**2 - 8*f - 4. Let z(d) = 8*c(d) - 3*l(d). Give z(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 257 + -572?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-18)\/81)\/(4\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*z - 8, -z - 32 = -2*v. What is the units digit of 2*v + 0\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m + 20. What is the units digit of (-18)\/m + 4\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 4*a + 139, -4*s = 2*a - 156. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*n + 2. Solve k - m - n = 5*k, 0 = -2*k + 2*m - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 28*v**2 + 93*v + 2. What is a(-31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12 + (-3 - 43) + 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180\/19 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(6\/(-4))\/(-3). Suppose -c + 2*b = -0*c + 3, -3*c + 4*b - 1 = z. Suppose c*m - 6 - 19 = 0. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -487444 and 2?\nAnswer: -974888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 761 + -760. Let a(d) = -7*d**3 - d**2 + 1. Calculate a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56468604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55281, 55354, 55421, 55476, 55513, 55526, 55509?\n\"Answer: -x**3 + 3*x**2 + 71*x + 55208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -3.4 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, k: 2, c: 3, t: 7, b: 3}. Give prob of sequence tb.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -42. Suppose -3*p + 28 + 254 = f. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 + 6*c**5 + (4*c**4 - 3*c**4 - 10*c**4)*(-2*c + 3*c + c).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*y**5 + 84290*y**3 - 9*y**2 + 120146*y?\nAnswer: -1140*y**2 + 505740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -154*((-24)\/(-14))\/(-2). What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 24*t**2 + 25*t + 21. Let d be g(-23). Let q = d - -27. Solve -12 + 2 = q*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11*s + 2. Let u(d) = -d**3 + 2*d**2 + 3*d + 3. Let p be u(3). What is the remainder when y(p) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22203333 - 1322?\nAnswer: -22211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -87893556.\nAnswer: 1\/29297852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2754\/(-28))\/(-9) - (12 - (24 - 1))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(sqrt(200) - (2 + (1 + sqrt(200) - sqrt(200))))**2 + (3 + 3 + sqrt(200) - sqrt(200) - 1*(sqrt(200) + 1))**2)*5.\nAnswer: -1400*sqrt(2) + 4260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(((-5*(-1 + sqrt(2448)))**2 - (-1 + sqrt(2448))*-2) + -5 + (sqrt(2448) - (sqrt(2448) + 3*sqrt(2448)) - sqrt(2448))*-2).\nAnswer: -61217 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 124662?\nAnswer: 124656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v**4 - 5 + 7*v**3 - 3*v**3 + 3*v**3. Let m(z) = -7*z**4 + 5*z**3 - 3. Let x(a) = 7*m(a) - 5*o(a). Differentiate x(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4628 - 1013. Calculate the highest common factor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**8\/56 + v**5\/20 + v**2. What is the third derivative of z(m) wrt m?\nAnswer: 360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmdvvvemeed. Give prob of sequence evm.\nAnswer: 9\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times -3095332\nAnswer: 773833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iihx when four letters picked without replacement from ozieeehihhoihzzx?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 11, 18, 0.1 in increasing order.\nAnswer: -3\/4, 0.1, 11, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**7\/3150 + n**6\/600 + n**5\/150 - 5*n**4\/6 - 24*n. Let v(s) be the third derivative of f(s). What is o in v(o) = 0?\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i - i + 3*i)*(48 - 524 - 677) to the form z*i + x and give z.\nAnswer: -1153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -540*l**2*s**2 - 15*l**2*s + 5*l**2 + l*s**2 - 3*l + 3*s**2 wrt s?\nAnswer: -1080*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(350))\/((sqrt(200) - ((sqrt(200) - (sqrt(200) + 1*sqrt(200)) - sqrt(200)) + sqrt(200))) + sqrt(2)).\nAnswer: 10*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (71\/(-355)*1\/1)\/(7\/(-84)*4)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**8\/5040 + k**7\/1260 - k**6\/90 - 17*k**5\/60 + 22*k**2. Let s(c) be the third derivative of h(c). Solve s(n) = 0 for n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 689 and 297401.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 v when three letters picked without replacement from {k: 2, q: 6, v: 4}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/5*4360\/1962.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l**2 + 124*l - 240. Give k(21).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*r - 4, 1 = 2*r + 3*q + 5. Suppose 2*k + 0*k + r*n - 6 = 0, 0 = 5*n. Factor -8*h**k + 2*h**5 - 4*h**4 - 8*h**3 + 18*h**3.\nAnswer: 2*h**3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 2 + sqrt(432)*1 + -5)**2.\nAnswer: -433 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.003, 0 in decreasing order.\nAnswer: 6, 0.003, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3323632 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1 - 216\/192. Which is the closest to 0.2? (a) -5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 39050?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/20*(-10)\/(-4). Suppose -60 = -2*i - c*i. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 758*y**6\/3 + y**2\/2 + 1852*y + 362. Find the second derivative of u(c) wrt c.\nAnswer: 30320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.16344 to 2 dps.\nAnswer: -22.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 5. Suppose -b + 4 - 1 = 0. Let o be m(b). Suppose o*f = 5*j - j - 6, -7 = -2*j + 5*f. Is 1\/5 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1835)\/6239 - (-10868)\/(-561)\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02511410796 to three decimal places.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 4:55 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of z**6\/240 + z**4\/12 + 2*z. Let t(y) be the third derivative of c(y). Let n(o) = o. What is -11*n(r) + 4*t(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {a: 11, q: 1, y: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8082, -16150, -24196, -32214, -40198, -48142, -56040?\n\"Answer: a**3 + 5*a**2 - 8090*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2\/9, 1\/6, 10 in descending order.\nAnswer: 10, 2\/7, 1\/6, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/4 + 9*s**4\/4 - 23*s**3\/4 + 15*s**2\/4 = 0. What is s?\nAnswer: 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 0.9, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(112)*-2 + 1 + sqrt(343) - (sqrt(112)*-3 + -1))*-6)**2.\nAnswer: 57024*sqrt(7) + 1102896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3491 + 6765348?\nAnswer: 6761857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -386 + 399 - 3*v - 5*v. Is j(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134740596 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -52. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30370658 and 1493.\nAnswer: -30369165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20586028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:46 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 + 960*u + 25347. Calculate d(-28).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(396) + -1 - sqrt(396) - sqrt(396)) + sqrt(396) - sqrt(396))**2 - sqrt(396) - sqrt(1100)*1*-6.\nAnswer: 66*sqrt(11) + 395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 67. Suppose 8*h = n*h + 80. Solve -h = 2*r - 6*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -111, -324, -733, -1404, -2403, -3796?\nAnswer: -5649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 + 16*c**3 - 4*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5707*b - 5699*b - 4752. Calculate the least common multiple of 135 and b.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 28 (b) -0.4 (c) 58.44 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 411532691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1902\/3170*(-1 + 0)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = y + y. Calculate the remainder when 33 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4 + 128452*j**3 - 4125235972*j**2 + 16499402496*j - 16498888704 = 0. What is j?\nAnswer: 2, 64224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-94)\/(-4))\/((-12)\/(-24)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -3950.\nAnswer: -3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/12 and 107\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) -6\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 270 = h. Suppose 0 = -4*w + w + h. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5200350 (base 9) to base 14.\nAnswer: 523727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1. Let d(j) be the third derivative of 0*j + 0 - 68*j**2 - 1\/3*j**3 + 1\/24*j**4. Calculate -d(p) + 3*m(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/4)\/(((-66)\/(-8))\/11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 681.3, 9, 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 162*m**2 - m + 125. What is s(162)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:59 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366417967 to the power of 1\/2, to the nearest integer?\nAnswer: 19142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -447917.6 to the nearest 100.\nAnswer: -447900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 629723*v**3*z - 36*v**2*z - 353*v**2 + 2*v*z - z - 1 wrt v?\nAnswer: 3778338*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -59 (b) 5 (c) 3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -288235472295001*z**2 - 33954998*z - 1 = 0?\nAnswer: -1\/16977499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/6*-4)\/(2\/8). What is the third derivative of -168*n**3 + 0*n**2 - w*n + n**2 + 3*n**2 + 7*n wrt n?\nAnswer: -1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.407 + 7.407. Put -2, n, -1\/4, 2, 37 in increasing order.\nAnswer: -2, n, -1\/4, 2, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*k**3*u**2 + 8914*k**3 - 65*k*u**2 - k*u wrt u.\nAnswer: -74*k**3*u - 130*k*u - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9691952*j**3 - j**2 + j - 109163711?\nAnswer: 29075856*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 263060*h**2 - 25557*h - 1?\nAnswer: 526120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4917 and 357004?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*a**6 + 8*a**3*u**2 - 10*a**2 - a*u - 18*u**2 wrt a?\nAnswer: -7320*a**3 + 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/14)*h**(-2\/55))\/(h\/(h*h\/h**(-4\/9)*h))**0 assuming h is positive.\nAnswer: h**(-83\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1735 = 2598 + 3217. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let h(j) = 7*j. Give w(h(m)).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003635344 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -5)*(0 + -1). Let z = 842 - 836. Let i = y + z. Let x(c) = -c**2 + 4*c + 1. Calculate x(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 4*k**7\/7 - 557*k**6\/10 + 13521*k**5\/10 + 23619*k**4\/4 + 8964*k**3 + 5832*k**2 - 3511*k. Solve v(z) = 0 for z.\nAnswer: -1, -3\/8, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-3 - -1) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, -5, -112, -257, -452?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 2159 = -9*g - b + 2217, 2*g + 2*b - 18 = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/934304 and 121\/24358640.\nAnswer: 341020960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1604*q - 14003. Determine v(9).\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 3*p**2 + 138*p + 136*p - 421*p + 141*p. Give d(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18275, 73140, 164663, 292910, 457947, 659840, 898655?\n\"Answer: 11*u**3 + 18263*u**2 - u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17539?\nAnswer: 17539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(624)\/(-2*sqrt(12)))\/(-2*-1*sqrt(64)).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 8*z - 2398. Let v be s(78). Is v at most as big as 4311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -355791 divided by -1527.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 59*g + 413. What is m(12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111000110101011 (base 2) to base 5.\nAnswer: 3434432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 27*i**5\/80 + 501*i**4\/16 + 331*i**3\/8 + 165*i**2\/8 - 117*i + 6. Suppose h(q) = 0. Calculate q.\nAnswer: -55, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9222.6 + 9222.7. Let k(x) = 2*x**3 - 4*x**2 + 2*x. Let w be k(2). Which is the nearest to v? (a) 1 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 69\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3 - 1. Let n = u + 2. What is the third derivative of 0 + 6*j**3 + 0 - 4*j**n - 5*j**2 wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 10. Let q = 13 - d. Let a = 3.52 + -3.22. What is the third smallest value in 5, q, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -1015*b + 116781. Calculate q(115).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3 - 1. Let p(d) = 4 - 5 + b + 2 + d. Calculate p(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + 3*c)*(-11 + 18 - 13 - 5*c).\nAnswer: -5*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 235*c**4*f - 3*c**2*f**3 + 31*c*f**2 + 12*f**3 wrt c?\nAnswer: 2820*c**2*f - 6*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 3*l**2 + 3. Let x be u(3). Suppose 0 = -5*c + 3*i + 329, -3*c + 2*i = x*i - 203. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2818046 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 + 102024*g + 650556036 = 0.\nAnswer: -12753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose -2*b + 2*s = b - 34, -p*b = -s - 22. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 0, 3, -54137, -10 in ascending order.\nAnswer: -54137, -10, -4, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxlxllxwlxwx. What is prob of sequence xlw?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.87 + -26.89. What is the smallest value in j, -3\/8, 6\/7?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 26912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -302, -448, -590, -728?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 12 + a**2 + 26 - 5*a**4 + a**3 + a**3 to w*a**3 + h*a + z*a**4 + s + n*a**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 11 + 11)*(w - 3*w + 4*w) + 0 + 3*w + 1 + w to h*w + o and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**4 - 87964*d**3 - 488525708*d**2 - 53867617796*d + 1200446385072 = 0.\nAnswer: -10939, -132, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 10:36 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 50*z + 36. Let c be j(25). Solve 0 = -6*w + 12*w - c for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Let u = 498 - 1993\/4. Let d = 361 + -364. Which is the second biggest value? (a) d (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.28 + 2.02. Let y = -16 - -6. Let n = a + y. Round n to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94a (base 14) to base 3.\nAnswer: -2111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -11*b - 114 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227347 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 58 - 22 = 0. Solve q*r = -f + 6 + 7, 5*f = -3*r + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**16*b*b)*b**(-18) assuming b is positive.\nAnswer: b**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345898 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72 + 4\/((-8)\/6). Suppose -2*i = -o + 9. Suppose -22 = 5*h + 3*b, 5*b + i = -10*h + 5*h. Put -4, h, -1 in descending order.\nAnswer: -1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*q - 12 + 4, q = h. Suppose 2*m + 2*g = 2, 0 = 4*g - 3*g + q. Let b be 3799 - 3\/(-9)*m. Round b to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 3 = 11*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 19. Suppose v*b + 5*s - 229 = 0, 5*b - 3*s = 93 + 184. Does 33 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.255 times -4?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = 8. Let u = -9 - -13. Solve -h*v + u = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u. Let q = 2 + u. Suppose 0 = 2*h + c - 6*c - 395, q*h = -2*c + 416. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6 + (3 + 1 - 1)*(-9 - 25 - 16))*(-12*n + 27 - 27) as z*n + q and give z.\nAnswer: 1776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2256*k**2 - 1 + 6544*k**2 - 4616*k**2 in the form m + w*k + b*k**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) - (4 + (-1*sqrt(2700))**2)) + (sqrt(2187) - ((sqrt(243) + 5*sqrt(243))**2 + sqrt(3))) + -2.\nAnswer: -11454 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -672\/5. Let n = 4117 - 4114.929. Let k = -0.071 + n. Which is the second smallest value? (a) r (b) -4 (c) k (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102532 (base 7) in base 12?\nAnswer: -66442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k - k + 3*k)*(-2*k**4 + 2*k**4 + k**4) + (3*k**2 - k**2 - 3*k**2)*((0*k + 3*k - k)*(-4*k**2 + 5*k**2 + 2*k**2) + 25*k**3 - 6*k**3 + 42*k**3).\nAnswer: -69*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62*48\/15624*(-15)\/10)\/(5\/(-28)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2883 and 651?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*k + 380*k - 272*k + 204*k + 45*k.\nAnswer: 503*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -384, -767, -1150, -1533, -1916?\n\"Answer: -383*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 9. Suppose -5 = -f - d. Solve -n + 15 = f*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90581609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8375636 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 6:17 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f. Let r = -3 + 5. Let h(x) = -x + r*x + 2*x - 5*x. Give w(h(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 5, -2.2, -383?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 599266969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1\/8, 377.5 in descending order.\nAnswer: 377.5, 3, 1\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 716779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -20271900 to the nearest 100000.\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) -0.05 (c) 4 (d) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-4))\/((-14)\/2072). Let c(m) = -m + 9. Let g be c(6). Suppose g*s + k = 4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -102 + 30. Let b be r\/27 + (-13)\/(-3). Solve -c + 9 = 2*m, -b*m + 2 + 7 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-1) - (-46)\/(-10))*-5. Is (5 - 6)*y + 11624 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 1187919982?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 10 = -5*o, 5*f - 3*o = -7*o + 21. Suppose -n + 4*p = -p + 19, -3*p = 5*n - 17. Let a be 16\/2*n\/2. Put f, -0.5, a in ascending order.\nAnswer: -0.5, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183 (base 14) to base 5\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -4422490.\nAnswer: -4422490.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*1 - (-24 - -9). Calculate the greatest common factor of 33 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.3999909 - 4.4. What is h rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**3 - 10*q**2 + 7. Let v(z) = 43*z**3 + 69*z**2 - z - 50. Determine 15*l(o) + 2*v(o).\nAnswer: -4*o**3 - 12*o**2 - 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 2. Let s be o(1). Let z(g) = g**3 + 6*g**2 + 4*g - 3. Let m be z(s). Solve m = n - 3*n - 4*q, 4*n - 2*q = -14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 525224, 1050456, 1575688, 2100920, 2626152, 3151384?\n\"Answer: 525232*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from lqlcqlglqqtqnnc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20640 and 281280?\nAnswer: 12095040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -22*c - 118. Give j(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/12 - b**2 + 2*b. Suppose 0 = t + 49 - 47. Let m(d) = 2*d**2 + d + 5. Let r(c) = t*m(c) - 5*q(c). Give r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 3*m + 4520. Let a = m + -39. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*w + 2*u, 0 = -3*w + 2*u + 3*u - 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l + 2 + 30 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8339838557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w - 4361. Let l(g) = -77*g. Determine l(t(b)).\nAnswer: -77*b**2 - 154*b + 335797","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 706192, 706193, 706194, 706195, 706196?\n\"Answer: g + 706191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuucuurruuucru. What is prob of picking 3 u?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.03 and 291.\nAnswer: 290.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 28 + 15 - 2*j - 43. Let s(f) = -f - 36. Calculate s(n(u)).\nAnswer: 2*u - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5019610116.\nAnswer: 2, 3, 29, 857, 16831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 19. Suppose 0 = -11*b + m*b + 7200. Suppose 5*z = z + b. Round z to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1825, -12936, -43071, -101734, -198429?\nAnswer: -342660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 6)*(-1 + 1 + 3*a) - 4*a + 3*a + 2*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 321*n**2 + 116*n**2 + 118*n**2 + 1157*n**2 - 2*n**3.\nAnswer: -2*n**3 + 1712*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*i*v**4*x**2 - i*v**2*x**2 + 31*i*x - 2*x**2 - 3 wrt v?\nAnswer: 284*i*v**3*x**2 - 2*i*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-2)*(6 - 5). Let c = -32 + d. Let m be 1 - -1*(-1 - c). Solve -m = -5*t + 2*a, 0*a - 6 = 3*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, p: 1, d: 3, x: 10, n: 1}. What is prob of sequence ss?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 143492 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - 64*(-51573)\/(-1398). Let s = -2359 - a. Put 3\/4, 2, s in increasing order.\nAnswer: s, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 times 44?\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 69\/121193?\nAnswer: 69\/121193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*4\/(2 + 2). Suppose -z*b + b + 3 = 0, 3*b - 11 = -f. Suppose 6 = 4*h + f*h. Is h < -2\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alalaaa. Give prob of picking 2 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**2 - 2599063*i + 2691319?\nAnswer: -2*i - 2599063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4362*r - 7322 wrt r.\nAnswer: 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -4\/9, -39, 2\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(3\/35))\/l*l**2 assuming l is positive.\nAnswer: l**(67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3162 and 3212778?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 5*y**2 + 8*y + 5. Let t be i(-4). Let r(v) = -16*v - 164. Let u be r(t). Solve -a = -2*k + u, 5*k = -a + 28 - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 9. Let b be s(7). Find the third derivative of -2*c**2 - c**2 + c**4 + 6*c**b wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 328 = -2*p. Let q = -39 - p. Suppose -5*w = -8*n + 3*n + 50, 4*n = q*w + 42. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6853 and 8\/1335.\nAnswer: 102795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9354608*x**3*y**2 + 15*x**3*y*z + 2*x**2*y**2*z + 141*x**2*z + 43606*x*y**2*z wrt x?\nAnswer: 56127648*y**2 + 90*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 58*m**2 + 104*m + 499. Let p be f(56). Let b = 16 + 2. Calculate the common denominator of 179\/90 and (3 - p\/b)*35.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, e: 1, v: 2, o: 1}. What is prob of sequence xeo?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -43. Suppose 5 - 21 = -8*p. Let s(a) = 4*a**2 + a - 4. What is the remainder when l is divided by s(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14476 by 47.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of 0*g**3 - 6*g - g**2 + 1\/56*g**4 + 0 - 1\/140*g**5. Let x(p) be the first derivative of q(p). Factor x(n).\nAnswer: -3*n*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:18 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*d - 42, -5*d = 27 - 12. Let l be b\/(-18)*(-5 + -1). Suppose y + 5*c = 15 + 14, -l*c = -3*y + 69. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-1361 - -1368) + 1 + 0 + 9?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*g + 2. Suppose -g = 2*s - 16, 34 = z - 4*s. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27914*x + 27912*x = 5*d - 100, 5*x + 186 = -112*d + 2426 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2757568 divided by -44\nAnswer: -62672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66929 is divided by 1521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 9*u**2 - 26*u + 503. Let s be c(-10). Let x(r) = -r**3 + 2*r - 8. Let n be x(7). Is n greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u. Let r be h(-1). Suppose 4*d - r = 54. Calculate the highest common factor of 35 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5*(-17)\/(765\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-9 + 5)\/((-10)\/(-5)). Which is the second smallest value? (a) 0 (b) -5 (c) u (d) -0.0002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)*(-1 + 1). Suppose y*a + a = -2. Let f = a + 1. Let b(z) = -z**3 - 2*z**2 - z. What is b(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-3 - 39) - (-55 - (43 - 98)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 186065.\nAnswer: 372130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1588*a**2 - 1727*a?\nAnswer: 3176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 529 = 119. Suppose -2*b + c = 5*d + 7, -5*b + 157 = 4*d. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o. Let x(m) = 702861*m**2. Give g(x(i)).\nAnswer: -3514305*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*j + 44 = 0, 14 = i + 16*j - 11*j for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 40. What is the third derivative of 22*s**2 + 69*s**n - 3 - 20*s**2 - 47*s**3 wrt s?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*u**3 + 55*u**2 - 39*u**3 + 2*u + 13*u**3 + (u**2 - 3*u + 3*u)*(-u - u + 0*u).\nAnswer: -5*u**3 + 55*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -84?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 15008\nAnswer: -15007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -791*(-22)\/(-462)*3*(-2174)\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 y when three letters picked without replacement from {y: 2, m: 2, c: 4, z: 3, g: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 342 (c) -117 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (18 - 29) + 0 + 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 12) in base 4?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*w - 11105 = m, -w = -4*m + 11125. Let r be (3\/(-12))\/((-5)\/m). Let b = -98 + r. What is the remainder when b is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*0.1197.\nAnswer: -0.07182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830397.3ml to litres.\nAnswer: 830.3973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*j = 7*j - 5, -3*c - 4*j + 4 = 0. What is the first derivative of c*o - 3 - 1 + 3*o + 2 wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**3 + 21*x. Let b(d) = -3*d. Let h(p) = 5*b(p) + 3*z(p). Let o(w) = -8*w**2. What is o(h(g))?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 7 + 33 - 4 = 0. Solve 0 = w + g, 2*q - 5*w - 1 = 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 minutes after 12:36 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 10*j**2 - 8*j + 4. Let o be (-3)\/3*11\/1. Let m = 20 + o. Is i(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2321 and 909.\nAnswer: -2109789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4472 or -4386?\nAnswer: -4386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*k**5 + 46*k**3 - 2*k**2 + 4880*k.\nAnswer: -160*k**3 + 276*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 13. Let o = 43.758 + -44. Let j = 0.058 - o. Which is the fourth biggest value? (a) k (b) -5 (c) -8 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/6)\/((-10)\/30). Let n = a - -23. Suppose 3 = -2*z + n. Solve z*x + 25 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1889.2506 * -0.2.\nAnswer: 377.85012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (26\/(-52))\/(-1*1\/24). Let u(h) = 15*h**2 - 14*h + 110. What are the prime factors of u(p)?\nAnswer: 2, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9 = 3*l, 4*l = -2*f - 2*f - 12. Suppose 4*p + 3*t + 18 = f, 1 - 2 = p - t. Put 0, p, -2 in ascending order.\nAnswer: p, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 2:06 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.415 + 32.885. Let w = 33 - g. What is w rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9944 - -14777. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*h - 29*h + 357. What is the greatest common factor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in centimeters?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 12838371*d + 25676738.\nAnswer: (d - 12838369)*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -100.6. Let n = -3.4 - f. Let r = 14 - n. Does 1\/6 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 1882, 4, -12, -1, 21 in decreasing order.\nAnswer: 1882, 21, 5, 4, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32648 = -167*y + 139*y. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 + 190. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 + -118. What is the remainder when 73 is divided by (-26)\/h*(9 - 12)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 7*c**5\/20 + c**2 + 2*c - 4. Let b(y) be the first derivative of t(y). Differentiate b(d) wrt d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1202313013 (base 5) to base 4.\nAnswer: 22211233020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**3\/3 + 2*f - 3. Does 10 divide r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 246981 divided by 4373\nAnswer: 246981\/4373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + 2*(1 - 2). Let v = 1 + t. Let u = v - 5. Solve 24 = -4*z + 4*a, -6 - 4 = -u*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.4, 1377\/2, -67 in decreasing order.\nAnswer: 1377\/2, 0.4, -7, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 2 = w. Suppose 2*f + w = 7*f. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 19*r - 48. Let z be y(4). Calculate the highest common factor of 36 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000391844552 rounded to 7 decimal places?\nAnswer: -0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 9*c = 115. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/9 - 135748*u**2\/9 + 774466406*u\/3 - 75098260048 = 0?\nAnswer: 296, 33789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685765.\nAnswer: 5, 137153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, -97, -317, -637, -1063, -1601, -2257?\nAnswer: -3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 less than or equal to -17801748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1701)\/(7 + -16) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.2 - 136671068571?\nAnswer: -136671068915.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (471 - 471 - 11*c)*(-3*c + 3*c + c)*(5*c + c - 5*c).\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*k + 4854, 210 = k + 3*d - 1006. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3 = -3*u + 1, 0 = 4*u + f + 1. Suppose -u = -5*b + 14. Solve 3*y + 3*z - 9 = 0, b*y + y - 2*z = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 - 18152*b + 162936. Give t(9).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11083 - 11089. Let y(a) = a**2 - 5*a - 4. Let b be y(6). Let f = b - 4. Put f, t, -4 in descending order.\nAnswer: f, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 = -8*d + 2350. Suppose 17*q = 15*q + d. What is the remainder when q is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**14)**(-11\/6)\/((u\/(u*(u**(-15\/4)\/u)\/u))\/((u*u*u**(7\/4)*u)\/u)))**(-5\/9) assuming u is positive.\nAnswer: u**(415\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3178253803.19 - -5.\nAnswer: 3178253808.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6779018 is divided by 616?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 394 - 646 = 18*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 4 + 17748\/4 - (-2)\/(-4)*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/15 - (-12)\/9. Solve 5*a**2 - 3*a**2 - 15*a - 3*a**2 + 20 - 4*a**x = 0 for a.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 1, 3 in ascending order.\nAnswer: -135, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -71918 divided by -35959\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 157, -5, -4, 8.\nAnswer: -8, -5, -4, 8, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 936 - 935. Suppose 2*y - 30 = 4*b, i = -2*y - 5*b - 5. Let v(z) = 4*z - 33. Calculate v(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 13. Let n(b) = -b - 26. Let y be n(-13). Let l be a(y). Suppose l*g - 38 = -g. Calculate the remainder when 148 is divided by g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4516 is divided by 73.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m*s*v**3*x**3 + 13*m*s*x + 8*m*v**3 - 4*m*v**2*x**3 + s*x**3 - 2*v**3*x**3 wrt s?\nAnswer: -6*m*v**3*x**3 + 13*m*x + x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -0 + 3. Calculate the common denominator of (-10*g)\/((-21)\/12) and (0 - -1) + (-50)\/15.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2250728 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -828 (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003372 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*i + 36*i - 4 + 37*i in the form w*i + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 146*k + 2367. Give j(-155).\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*q - 289*q + 1390 = 0. Let y = q + -241. Calculate the remainder when 255 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -17\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from ooowwwowooowoooo?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -118432 divided by 4\nAnswer: -29608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/7 of a week in hours?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-6))\/((-2)\/1930). Let u = z + -319. Calculate the common denominator of u and 91\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17791 times 86.4?\nAnswer: 1537142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 4, -3, -1, -2936 in ascending order.\nAnswer: -2936, -3, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*b - 39. Suppose 0 = 8*n - b*n + 5. Let x(q) = 0*q + n + 6 - 1 - 2*q. Calculate x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(143) + sqrt(143)*-1*-6 - sqrt(143))*-5)\/((sqrt(2695) - sqrt(55))\/sqrt(5) + (sqrt(539)*-3 - sqrt(11))).\nAnswer: -75*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**4\/8 + 5*b**2 - 10. Let r(h) = 9*h. Calculate r(w(y)).\nAnswer: -27*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by -33?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*n**5 + g**3*n**2 + 117*g**3*n - 3*g**2*n**2 - 15280*g*n**5 + 3*g*n wrt n.\nAnswer: 180*g**3*n**2 - 916800*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -m + 55*z - 49*z, 11 = 11*m + z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*l + 39, 4*q = 4*l - 18 - 2. Let n = 42 + q. What is the greatest common divisor of 22 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**7\/21 + 2*u**3\/3 - u + 8. Let s(a) be the first derivative of w(a). What is the second derivative of s(m) wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(30) + -1*sqrt(30)*3)\/(-2*sqrt(1210)) + (sqrt(300)\/(sqrt(10)*2))\/(sqrt(160)*2 - sqrt(10)).\nAnswer: -1 + 25*sqrt(3)\/154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3626 + 3628 + (23 - -3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*v - 2121 - 629 = -229*v + 1024 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -4\/3, -12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 6*k + 1\/3*k**3 + 2*k**2 + 3. Give l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 0.5 (c) -0.4 (d) -2\/11 (e) 42 (f) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o**2 + 2*o + 1. Let j be n(-1). Suppose 6*v + 12 - 48 = 0. Suppose 6*q - j = v. Solve 0 = q*p - 15 + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 + (-490)\/20)\/(19\/228).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057505040 rounded to the nearest one million?\nAnswer: 1058000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose 0 = -5*r + 16 + 9. Suppose -2*x = -2*u + 14, -4*u - r*x - 4 = 13. What is the closest to u in 5, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (0 - 2)) + -4 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 108441 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(1377)*-3)*3.\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(32\/(-92)) + 7\/(-28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 135 - 283. Suppose 2*b - 673 = -c. What is the highest common divisor of b and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((560\/(-980))\/(10\/133))\/(2\/5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 2*t**2 + 3*t**2 + (3*t**2 - 3*t**2 + t**2)*(4 - 3 + 4) - 9*t**2 + 293*t - 293*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 0, -0.7, 1, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -716 - -715. Let p = -5 + 11. Which is the third smallest value? (a) 2\/3 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21021 - 11?\nAnswer: -21102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**0*o)*o**(2\/25))**(-1) assuming o is positive.\nAnswer: o**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 233 or 1167\/5?\nAnswer: 1167\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 12 = q + s, -5*q - 8*s = -47. Solve q = -3*j - 5*x + 7*x, 3*x = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 130*a + 418. Is k(0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103608 (base 9) in base 13?\nAnswer: 179cb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510 = -53*o - 78 + 469 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -19*l**2 - 593*l - 183. Determine a(-31).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 423275 = -284670 + 124769. Is 61 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -8. Calculate the highest common factor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 - (-3)\/(9\/6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(1053) - (-2 + (sqrt(1053) - 1*sqrt(1053))).\nAnswer: -18*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*q = -466 - 143 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-2\/7))\/w*w)\/w**(-2\/3))**(-33) assuming w is positive.\nAnswer: w**(-451\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436000 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75350 = 55*z - 255695. What is the highest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 3:35 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 507 from 292295.323315.\nAnswer: 291788.323315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4\/4 - 75*u**3 + 2835*u**2\/2 - 6615*u - 138915\/4.\nAnswer: 5*(u - 21)**3*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 16*s - 11. Let x be a(14). What is the greatest common divisor of x and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) -4 (b) 2 (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.916059ml?\nAnswer: 0.008916059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 808686833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87121819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 461 - 506 = 0. Suppose k = y + 532. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 0 - 1 + 0. Let x = -13 + 9. Let g(n) = -5*n - 1. Let q(a) = 5*a + 1. Let m(o) = -5*g(o) - 4*q(o). Give x*r(v) - 3*m(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**2 - 91*i + 322. What is s(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(3\/8). Let j = 90 + -87. Suppose 3*b = -t - j*t + 28, 4*t - 4*b = 0. Solve 0*n - d*x = -n + 17, t*x = -16 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 9. Let z be g(-5). Let d be 11322\/(-4) + 23\/46. List the prime factors of d\/(-50) - z\/10.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 1:21 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 4*w + 22, 18 = -2*w - 2*w - k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.0258816 rounded to one decimal place?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 154483*s - 154528*s. Determine d so that 2\/3*d + s*d**2 + 0 + 2\/3*d**5 - 4\/3*d**3 + 0*d**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-40)\/(-1200)*2*15\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*o**5 + 456*o**4 - 184*o**3 = 0. Calculate o.\nAnswer: -46, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121231 is divided by 60561.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-167 + 342 - 177 + 3*w - 5*w**2)*(-2*w + 2*w - 2*w) to the form t*w**3 + v*w**2 + h + c*w and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 44\/5 of a hour?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 9*h**2 - 2*h + 2. Let s(l) = -18*l**3 + 427*l**2 + 478*l + 108. Let o(g) = s(g) - 5*w(g). Solve o(x) = 0.\nAnswer: -1, -1\/4, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 + (-8 - (-12 - 12))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4406.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9083191 - -12.27.\nAnswer: -9083178.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -823 - -3273\/4. Let n = -90 + 208\/3. Let t = n - -43\/2. Calculate the common denominator of d and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from swweewzww.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 3*n = -7, 0 = -4*j - n - 0 - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 208559864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*c = -119, 0 = -2*m + 4*c - 3*c + 47. Suppose j - 5 = o, o + 6 + m = 4*j. Solve -n - 4 = -j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**4 - 4495*m**3 + 4760*m**2 + 233200*m - 720000 = 0.\nAnswer: -900, -8, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 27*q**2 - 8*q - 3. Determine i(2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 9*p - 10. Let k be a(2). Suppose -4*g + 0 = -8. Suppose -g*n + v = -8, -n - k*v - 2 = -3*v. Sort 4, -6, n in increasing order.\nAnswer: -6, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2. Let o(t) be the third derivative of 503*t**5\/60 - 978*t**2. Give o(d(c)).\nAnswer: 503*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11198, 11205, 11222, 11255, 11310, 11393?\n\"Answer: s**3 - s**2 + 3*s + 11195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -120996 + -2 + 8\/(-4). Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - k - k**2 - 7*k**2 + (-2*k + k + 4*k)*(-k - 7*k + k).\nAnswer: -25*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2.1. Let r = -8 + 11. Which is the nearest to d? (a) -3 (b) 2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -666 - -671. Suppose -2*z + 21 = -d*a, 0 = 5*z - 7*a + 5*a - 21. Solve -z*b + b = -10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208637 to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-1 + 2 + 0)*(-2*j**2 - 3*j + 3*j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 17 = -23. Let f = g - 22. Let i = f - -18. 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: b\"What is the gth term of -6086186, -6086187, -6086188, -6086189, -6086190, -6086191?\n\"Answer: -g - 6086185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.1. Let w = z + 0.4. Let k be (3\/(-15))\/((-24)\/(-20)). What is the second biggest value in w, k, 4\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 17 + 22)*(-g**2 + 2*g**3 + g**2) in the form i + a*g**2 + c*g + q*g**3 and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n. Let f(t) = -49*t**2 - 14*t. Calculate h(f(g)).\nAnswer: -98*g**2 - 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3 (c) 5\/4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/12)*z)\/(z\/(z\/z**(4\/5)))*z**4*z**7 assuming z is positive.\nAnswer: z**(737\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -8 + 92. Calculate the smallest common multiple of 18 and s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3680928 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9910434 and 514?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/12 + (-23)\/6 + 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -2. Let x = f - 0.5. Which is the nearest to -1? (a) 0.2 (b) 1\/6 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77 - 47 - 14) + (-16 - 0) - 107.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 1, h: 2, m: 1}. Give prob of picking 1 d, 1 w, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 789394.1 decades?\nAnswer: 7893.941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) + 1996\/28 + -2. Find the second derivative of b*p**4 - 8*p**4 + 26*p + 726 - 725 wrt p.\nAnswer: 732*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, s: 2, i: 9}. What is prob of picking 3 p and 1 i?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - -2) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 3*i, -5*d - i + 26 = 2*i. Suppose y = -0*y + 2, 26 = 2*p + d*y. Let c = p + 13. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-1*1)\/((sqrt(4050) + 1*sqrt(4050))\/sqrt(5)).\nAnswer: -5*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.736 - -209.116?\nAnswer: 171.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1921, 1919, 1915, 1909, 1901, 1891?\nAnswer: 1879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -194, -2924 in decreasing order.\nAnswer: 0.1, -194, -2924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/18 + (-30751)\/32661?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 8*t - 12. Suppose -30 = 5*p - 5*w, -5*p + 4*w - 33 = -0*w. Let k be q(p). What is the units digit of k\/((-2)\/(12\/3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)\/sqrt(3))\/(sqrt(48)\/(sqrt(24)\/sqrt(2))) - (sqrt(7) + (sqrt(84)\/sqrt(3))\/sqrt(4) + sqrt(350)\/sqrt(2)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 3*g - 100 = 0. Solve 20*y - g = 15*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u**2 + 8*u + 2. Let n be y(14). Let i = n - -42534\/19. Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-26))\/((-105)\/42)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053702 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -407580767*w**4 + 425008801*w.\nAnswer: -4890969204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4629\/2 - 46377\/20. Find the common denominator of (2\/(-12))\/((-9)\/(-291)) - 1 and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -23050958?\nAnswer: 2\/11525479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14476861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*w*z - a*w - 6*a*z + 168*a + 8077*w*z - 13465*w - 6*z wrt z.\nAnswer: -2*a*w - 6*a + 8077*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 601.63 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93, 100, 119, 156, 217, 308, 435, 604?\n\"Answer: k**3 + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, and 1 r when three letters picked without replacement from srweersuueieiu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 638\/(-58)*(-1 + 0)*1. Let w(z) = 2*z - 19. Calculate w(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.92482 kilograms to micrograms.\nAnswer: 8924820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1757.7 + -1\nAnswer: 1756.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2*c = -31, 0 = -7*s + 12*c - 13*c - 0 - 7 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let t be r(2). Suppose -45 = -5*l + 2*q + 3*q, -3*q - 11 = l. What is the third derivative of -4*g**2 + g**t + 2*g**4 + 2*g**2 + l*g**2 wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 347*h**2 + 102*h - 717. What are the prime factors of s(8)?\nAnswer: 22307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 3:43 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n - 2*h, 2*h = h + 5. Find the third derivative of 37*s**5 + 29*s**2 - 20*s**2 - 22*s**6 + 23*s**6 - 15*s**n wrt s.\nAnswer: 120*s**3 + 2220*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*o - 30 = 0, 0*f = 2*f - o - 11. Let d = 2 + -2. What is the third derivative of d*z**f - 2*z**4 - z**2 + 0*z**3 wrt z?\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = 6*s - 2*s, 2*n = 2*s. Let k(m) be the second derivative of 0 + 1\/6*m**n - m + m**2. Differentiate k(x) wrt x.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -192.6 + 193. What is the closest to -2\/5 in -0.3, k, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9333039.24ns in weeks?\nAnswer: 0.0000000154316125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 + 11600*p**2 + 375890028*p + 1095158641176 = 0.\nAnswer: -4713, 12326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -37, -80, -161, -292?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2905444799 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4008 and 5845?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120\/233 or 47104?\nAnswer: -120\/233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -26\/3*v**3 + 0*v**5 + 0*v**4 - 12 + 0*v**2 + 0*v - 31\/6*v**6. What is the third derivative of b(m) wrt m?\nAnswer: -1860*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-64) + (-86)\/8. Let a(l) = l**2 - 2*l + 6. Let i(u) = 6*u**2 - 11*u + 31. Let n(t) = c*a(t) + 2*i(t). What is the tens digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {y: 4, d: 2, l: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/7 (b) 0 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*k - 30, 6*i - 14 = k + 2*i. Let g(n) = 46*n**3 - n**2 + 2*n - 5. What are the prime factors of g(k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - 14.6. Let i = 15.99968 + h. What is i rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.51, -17\/84, 2, -23?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 + (-15 - ((1 - 8) + 11)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyvyvyyv. Give prob of picking 1 v and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1)\/((-2)\/4). Suppose v + h + 0 = 0. Let j be (-116)\/(-6) - v\/3. Round j to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -45. Which is the closest to -1? (a) 4 (b) r (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28855 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-4))\/(91\/104). What is the nearest to -12 in -0.4, 5, -0.1, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 18 - 2 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*2\/16*2. Differentiate -2 + d + 3 + 3*i**2 + 2 with respect to i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 13. Let a be v(-8). Let o be a + -4 + (-3)\/(3\/5). Let c(h) = -20*h - 10. List the prime factors of c(o).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 116\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484 - 326. Let m = o + -58. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 36 - 36 = 0. Solve t = -a + 2 - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:41 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 + 84. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2142*j - 243369 = 3309*j + 3072*j + 131643 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10039357 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 11*p + 10. Let y = 313 + p. Let z = y - 171. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -11245, 2, -3, 0.01, -115?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 l when four letters picked without replacement from fflfllflll.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3540 and 210?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, s: 2, x: 2, q: 6}. What is prob of picking 2 q?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 548a67?\nAnswer: -548a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 0 - 5\/12*j**3 + 7\/24*j**4 + 1\/4*j**2 - 56*j - 3\/40*j**5. Factor n(l).\nAnswer: -(l - 1)**2*(3*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4\/3, 5\/2, -23\/4 in descending order.\nAnswer: 5\/2, 0.1, -4\/3, -23\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*m - 34*m - 39 = -22*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 29*c - 33. Let o be z(28). What is the biggest value in 541, o, 5?\nAnswer: 541","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u - 2*u = 0. Solve -4 + u = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 10*r**2 - 4*r - 19*r + 7*r**2 - 52*r.\nAnswer: 17*r**2 - 75*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -546. Let n = 536.4 - y. Do 0.1 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r**2 - 8\/7*r**4 + 0 + 0*r + 1\/7*r**5 + 16\/7*r**3 = 0. Calculate r.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 296921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 1.9. What is the third biggest value in i, -7, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 18942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 19\/4 of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 25*s**2 + 4*s + 14. Let l be b(-9). Let x = l + 67. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -15*p**3 - p**2 - 4*p. What is x(2)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8411*f + 393. Determine c(0).\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998579?\nAnswer: 643, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33731.00235 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 4, p: 3, x: 11}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186.2718 decades to centuries.\nAnswer: 18.62718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*w + g + 6, 3*w + 9 = -5*g. Let u(t) be the third derivative of -83*t**4\/12 + t**3\/6 - 13*t**2. Is u(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u**2 - 4*u**3 + 3*u**3 + 51*u**4 - 1 - 52*u**4 - 6 in the form c*u**2 + g*u**4 + d*u**3 + t*u + l and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (0 - -4) - -2) + -5 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -96*b**2 + 105*b + 16*b**3 - 2*b**4 + 116*b + 35*b - 256 + b**4.\nAnswer: -(b - 4)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/14*(-6)\/(-5). Is (1\/p)\/((-1)\/(-489)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85? (a) -106 (b) 105 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10111 + -3655?\nAnswer: 3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -223*d**5\/60 + 247*d**4\/24 - 5*d**2 + 9. Find the second derivative of x(a) wrt a.\nAnswer: -446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**(-5\/6)*k))\/(k\/k**2))\/(k**(1\/4))**(-43\/4) assuming k is positive.\nAnswer: k**(137\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 - 8*s + 3. Let l be o(-6). Let r = -239 - -325. Let f = l - r. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535 - 365 = -10*v. Calculate the greatest common divisor of v and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*f**4 - f**3 + 343?\nAnswer: 40*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6993 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2 - 20754*z + 29973924 = 0. What is z?\nAnswer: 1734, 8643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (156142\/40 - 3\/(-12)). Suppose 11760 = -0*d + 3*d. Let g = p - d. Calculate the common denominator of g and 31\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 655 - 654.9. Which is the smallest value? (a) t (b) -17 (c) -1\/5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/375 or 1?\nAnswer: 4\/375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.3 + 8. Which is the smallest value? (a) 3 (b) r (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 13 + 12. Let u be (468\/45 - 3\/(-5)) + -1. Suppose -v*l + u*l - 5 = 0. What is the closest to -2 in -0.1, 4, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2886 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + -75. Calculate the remainder when 12\/t + (-10825)\/(-105) is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0101 - 9.9501. Let k = 10 + h. Let q = k + -0.085. What is q rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 2. Let t = -25 + 30. Suppose -k + 1 - t = 0. Calculate g(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.89 or -1.05?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429?\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2))**(-22)*(i*i**(2\/3)\/i)\/(i*(i*(i\/i**(-2\/3))\/i)\/i) assuming i is positive.\nAnswer: i**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*j - 10, 5*j + 39 - 29 = 0. Solve 0 = -9*y + a - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 694 + 394 = 0 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 12*k**2 - 6*k + 9. Let p be h(12). Let x = 135 + p. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -207, 1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w - 5. Calculate b(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(117)*2*-2 + -3*(sqrt(26)\/(-2*sqrt(2)) - sqrt(832)\/sqrt(4))*-2)**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 345023609?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*m + 5*d - 8, m + 5*d = -9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 26 - (-11 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**3\/6 + q**2\/2 - 3336*q. Let t = 2 - 6. Determine m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 3886 - 210*k**2 + 3887 + 2*k**3 as c + q*k**3 + w*k**2 + x*k and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69818 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4) - 45\/(-70). Let x = -4682\/7 + 670. Factor -n + x*r - 2\/7*r**2.\nAnswer: -2*(r - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 622*r - 545. Determine h(155).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531878507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -4. Let z(b) be the first derivative of -b**4\/4 - 2*b**3 + 5*b**2\/2 - 7*b + 3. Let m be z(-7). Solve 3*l + c = -m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmdltmttdglgm. What is prob of sequence tdgg?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 65, 101, 137, 173?\n\"Answer: 36*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 811.\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 363 = p, 4*j - 3*p = 6*j - 731. Calculate the remainder when j is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51\/2 - -25. Let i = 1284.7 + -1285. What is the nearest to -2\/3 in r, i, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 441 + 21 = 0. What is the remainder when g is divided by 58?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2158*v + 368. What is the units digit of q(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 196. Let m = -0.1 - -0.3. Let v = 0.3 - m. What is the closest to 1\/2 in v, 1, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwwwwwwwwrwrwwwrrr. What is prob of picking 3 r?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4321*c**2\/2 + 462348*c + 214 = 0.\nAnswer: -214, -2\/4321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177962*u**2 - 2*u**3 + 177962*u**2.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 13 (b) -5 (c) 3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 less than -6.7?\nAnswer: -6.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024957 rounded to four dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-3)\/5)\/((-3)\/(-15)))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**4 - 4 - 4*g**4 + 10*g**2 + 1438*g - 1434*g to a*g**2 + s*g**4 + p*g + c*g**3 + m and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/((-20)\/(-5) + -2). Let a(g) = g**3 - 6*g**2 + 5*g + 2. Let v be a(u). Solve v*m = 3*m + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) -2\/1077 (c) 0.228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 15. Let l be b(-5). Let m be (-4 - l)\/((-1)\/(-3)) - 3. Suppose 2*k = m, -4591 - 1653 = -4*d + 5*k. Is d 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 8:28 AM and 6:24 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 6*s - 8. Let k = -8 - -2. Let v(z) be the first derivative of -z**4\/4 + 7*z**2\/2 - 9*z + 4. Give k*v(r) + 7*q(r).\nAnswer: -r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 228 = 15*c - 90*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7) + 1216\/(-266))\/3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/(-286) - 3132\/8613?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 86296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.29 (b) -1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-10 - -19 - (-2 - -10 - 13)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 + -245. Let r = 3.68 + -3.18. Sort 1\/6, r, o.\nAnswer: 1\/6, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o**2 - 5. Let n be v(10). Let i = 40.4 + -40. Let j = 132 + -132.1. Which is the closest to i? (a) n (b) -2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f - 6. Let d(j) = j. Let x(o) = -3*d(o) - n(o). Let t = -146 - -134. Let v(i) = -5*i - 64. Let w be v(t). Calculate x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 22 = 2*f - 0*f, f = 3*w + 3. Let s be (-6)\/f - 9\/(-35). Which is the second biggest value? (a) -2 (b) -4\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 9595.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 126*b - 2*b**2 - 3217*b - 1202*b.\nAnswer: -b**3 - 2*b**2 - 4293*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -2*b**5\/5 + 7*b**4\/2 - 10*b**3 + 13*b**2 - 8*b - 10. Let w(o) = 0. What is o?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*f**3 + 4 - 4*f**3 + 5 - 6 to w*f**3 + m*f**2 + q*f + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**2. Let j(l) = 20*l**2 + 8. Let p(c) = 7*c**2 + 3. Let u(w) = 3*j(w) - 8*p(w). Calculate u(f(k)).\nAnswer: 324*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -495341\/20 - -24772. What is the common denominator of f and 9231\/4760 + 4\/14?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.118 - -0.118. Put -25, o, -1\/2 in increasing order.\nAnswer: -25, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 722 + -699 - (-1 - -33).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -559*f - 4984 - 5983 = 1890 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 3*t - 15, -3*a + 2*t = -2*t - 8. Solve i - c + 3 = 0, -3*c = 3*i - a*c + 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/14279 and 19\/436.\nAnswer: 57116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 43) + 2 + -6. Is 13293\/15 - 36\/w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 326 - 321.13. Let b = w + 0.13. Let v = b + -1. What is the closest to -1 in v, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3665265 + -10?\nAnswer: -3665305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3 + 0)*968\/(-33) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**4 - 339940*z**3 + 7183448.\nAnswer: -4*z**3 - 1019820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1304\/7 - 186. Let c = 4783 - 4787. What is the nearest to n in 0.4, 3, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1460.522000272 - -1460.552. Let u = 0.03 - t. Round u to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a**2. Let s(l) = -8*l**2 - 8697*l. Calculate s(y(c)).\nAnswer: -5000*c**4 - 217425*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18668 + 17b?\nAnswer: 18827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x + 207 = -x + 179 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c. Let k(b) = 36*b + 16. Suppose -w - 5 = 4*z + 54, 4*z - 2*w + 74 = 0. Let d(i) = 7*i + 3. Let x(g) = z*d(g) + 3*k(g). Calculate 5*q(s) + x(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 41831331 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 5:23 PM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:49 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l**2 - 171*l\/4 - 255\/4 = 0. Calculate l.\nAnswer: -5, -17\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*g + 155 = 151, 4*g = 4*m - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 939 - 939 - 61*w**2 - 107*w wrt w?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 + -81. Let m(x) = -x**2 + 7*x - 7. Determine m(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 3*x**2 + x - 1. Suppose -4*p + 8 = -6*p. Let j be (1 + p - -4)\/(2\/4). What is the remainder when 32 is divided by d(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*g - 3*g - 100 = 0, 0 = 2*l - 2*g - 48. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 185*f + 3168. Give m(19).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -49*y - 66. Let a(c) = -94*c - 130. Let j(s) = -6*a(s) + 11*p(s). Let r be j(-2). Let o(n) = -n**2 - 2*n + 1. Let l be o(-4). Sort r, l, 3.\nAnswer: l, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/6 - 15*i**2\/2 + 13*i. Let n be a(8). Let b(c) = c + 8. What is b(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c54ab6 (base 15) to base 2.\nAnswer: -100011110010011010101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111402151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f + 5*w + 88 = 0, w = -f + 13. Suppose -20*m = -f*m - 198. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 4*(sqrt(152)*1 - sqrt(152)))\/((sqrt(8) - sqrt(8)*1)*-4 + sqrt(8)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -25 - 155. Let z(w) = -w**3 - 6*w**2 - 3*w + 15. Let k be z(-5). Suppose -k*h + 8*h = x. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j + 141. Let g(p) = 9*p + 94. Calculate -7*g(c) + 5*n(c).\nAnswer: 2*c + 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2448) + 3 - ((sqrt(17) + sqrt(272))*-6)**2*-4.\nAnswer: 12*sqrt(17) + 61198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1419591, -1419593, -1419595?\n\"Answer: -2*h - 1419589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279944 and 896?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 19}. What is prob of sequence cf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*a - 3*x - 13, 4*x = 4*a - 28. Suppose 4*d + d - a*v - 32 = 0, -4*d + 23 = -5*v. What is the remainder when (-19)\/2*(-3 - -1) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h + 4. Let d(p) = -p + 1. Let a(t) = 9*t + 69. Let i be a(-7). Determine i*d(z) - s(z).\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 20*x - 121. Let l be h(6). Sort -29, 0, 1, l.\nAnswer: -29, l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*i - 1562*i = -569*i - 546*i + 560 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*o**2 - 33*o**2 + 280*o - 229*o**2 - 278*o.\nAnswer: -15*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11119 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 21*b**2 - 262*b - 5688. Give j(-20).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -k - 376. Let l be 1\/(-3) - k\/3. Suppose -23 = 5*q - l. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.38471 plus 0.5?\nAnswer: -0.88471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -4) + 1 + 1. Suppose -g + f*g = -g. Solve -3*d = -g*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1188 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 7:03 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 9\/8 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 626 and 6705086.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 12.1. Let n = -277.6321 + 0.1321. Let i = 278 + n. Which is the biggest value? (a) i (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-6)*2 + (11 - -22). Let x be 15\/2*(-120)\/(-25). Calculate the highest common factor of s and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -409.62 - -413. Let y = n + -0.38. Sort 0, 0.5, y in ascending order.\nAnswer: 0, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-13)\/5. Let n(k) be the second derivative of k**3\/6 - k**2 + 6*k. Determine n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -9*r + 8. Suppose 38 = 5*g - 17. Let c = g - r. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-3 - -1))\/(2 + (-52)\/13). Factor 0*w**4 + 0*w**2 - 2\/3*w**5 + k + 4\/3*w**3 - 2\/3*w.\nAnswer: -2*w*(w - 1)**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294530.\nAnswer: 2, 5, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = -3*w - 60. Let v be 8*((-46)\/(-8) + -5) + w. Solve 2*a - 4 = -2*b, -3*b - v*b - a - 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 15*v + 22. Let t be 94 + -89 + 4\/3*9\/2. Calculate c(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.0128, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + sqrt(1216) - sqrt(1216))*6 + 1*sqrt(1216)*-4)*-3)**2 + -2.\nAnswer: -10368*sqrt(19) + 178018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*y = -c - 16, c + y = -3. Suppose -4*g + 0*g = -o + 15, -3*o + 17 = c*g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1335 - -7610. Let s be -5*(((-125460)\/n)\/(-4) + -5). Is 0 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74802, 160448, 246106, 331782, 417482?\n\"Answer: q**3 + 85639*q - 10838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 0.0666 (b) -5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4229482405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2. Let j(m) = 8*m**2 - 368348. What is j(v(p))?\nAnswer: 32*p**4 - 368348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 2:43 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-48)\/(-10) - (-2)\/10. What is the second derivative of -4*r**2 - r**2 + t*r**2 - 18*r - r**5 wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, -24, -4, 5, -5.47, 27.8?\nAnswer: -5.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18156781, -18156782, -18156783?\n\"Answer: -m - 18156780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001515 rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.18? (a) -25 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 489, 38, -1265, -3426, -6451, -10346, -15117, -20770?\nAnswer: -27311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 296001 - 159101. Round r to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 104636.\nAnswer: 1150996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2. Let w(a) be the third derivative of a**8\/2880 - 7*a**5\/60 + 5*a**2. Let f(q) be the third derivative of w(q). What is f(x(g))?\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*(-10)\/14?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 5*l - 3. Let v(q) = -3*q**2 + 16*q + 8. Let a(r) = 2*v(r) + 7*x(r). Let s be a(-6). Let m = s - 19. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 4*r)*(-106*r + 400*r + 265*r + 142*r).\nAnswer: 701*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3 - -13) + 277)\/((-2)\/(-34)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 5:26 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*r - 46 = 0, r = -130*j + 129*j - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 29*f - 227. Let u be x(20). Let j(w) = -7*w - 54. Calculate j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 74. Calculate the remainder when k(17) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 20. Let t = m + -13. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + -1*sqrt(120) + sqrt(120))\/sqrt(6))\/sqrt(10))**2 + -5 - (sqrt(2) + sqrt(10)\/sqrt(5) + -2 + sqrt(2) + sqrt(392)\/sqrt(4))**2.\nAnswer: -207 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(1\/2))**(-19\/5))**(-2\/113))**9)**34 assuming c is positive.\nAnswer: c**(17442\/565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12290 divided by -5\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82037 = -13*p + 19636. Calculate the greatest common factor of p and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 = -2*k, -v - 3 = -5*k - 2. Let n be 6 + v*3\/4. Let o be (3\/n*0)\/1. Is o less than -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 11*h = c - 7, 5*h + 5*c - 35 = 0. Solve h = -96*k + 87*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by -1460\nAnswer: 123\/1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**2 + 342*m + 658484 - 658484 = 0.\nAnswer: -171, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1448966, 1448968, 1448970, 1448972?\n\"Answer: 2*o + 1448964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -1883, -6824, -16467, -32384, -56147, -89328, -133499?\nAnswer: -190232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 147?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2. Let g(n) = -n + 2. Let p(w) = -w - 5 + 5 + 1. Let b(y) = g(y) - 2*p(y). Determine b(v(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -13. Let b = p + -17. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8*p**2 - 14*p + 2. Let a(g) = 3*g**2 - 5*g + 1. Suppose -40*o - 742 = 13*o. Let i = -5 - -10. Suppose 25 = -0*w + i*w. What is o*a(y) + w*t(y)?\nAnswer: -2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + -39 + 38 - -7 - 89.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -18, -23, -26, -27?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 79*l + 33. What is z(-7)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 28653 - 57287 + 28634.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 22. Let w be m\/(-5) - (-1308)\/30. Suppose -3*q + w + 28 = 0. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = 0, 0 = -h + 4*r + 20. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*k + 257*t - 258*t, -3*k + 3*t + 18 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h**4 - 3*h**4 + 17*h**4 + (-5*h**2 - 9 + 9)*(4*h**2 - 5*h**2 + 2*h**2) as q + c*h**3 + d*h**4 + k*h**2 + z*h and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c1d + 24?\nAnswer: -3be9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11079 - -63008. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.207 * 25737\nAnswer: -5327.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 2*q + 22, -2 - 3 = q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 684 + 24 = -4*u, 4*i = 4*u - 660. Calculate the greatest common factor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.88? (a) -0.9 (b) 3\/4 (c) -1 (d) 2 (e) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 502600, 2010437, 4523518, 8041855, 12565460, 18094345, 24628522?\n\"Answer: 2*r**3 + 502610*r**2 - 7*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 34 + 0)*(4*j**2 - 2*j**3 - 4*j**2)*(-10*j**2 - 2*j**2 - 15*j**2).\nAnswer: -2430*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2, 7, -853, -6, -1 in increasing order.\nAnswer: -853, -6, -3, -2, -1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 11*x**2 + 10*x + 2. Let s(t) = -3*t**2 - t. Let a be s(-2). Let c be f(a). Suppose 15 + 11 = c*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**3 + 64940*o**2 + 150323245*o + 150258310 = 0?\nAnswer: -9974, -3013, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 8539 + 76749 = 0. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b. Let k(l) = l + 100. What is j(k(s))?\nAnswer: 4*s + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792746 is divided by 277?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -1, -10, 4.\nAnswer: -10, -8, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 21 + 6 = 0. Let o be c\/2 + 1\/2. Let i = 8\/65 + 9\/455. Is o less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2704034, -2704033, -2704032, -2704031, -2704030, -2704029?\nAnswer: -2704028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -69*r - 93. Let f be h(-7). Suppose -g + f = 5*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 9*x**2 - 8*x - 21. Let s be i(7). Suppose -s*y = -3*y - 36. Solve 0 = 2*n - y*a + 10, 0*a - 3*a + 15 = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 726 + -401. Let s = 1375 - z. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06284081 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/45, 0.13, -5\/3, -2\/19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 105*k**2 + 11*k - 32. Give r(1).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -19. Suppose -3*v - 2*n + 159 = 2*v, 4*n - 39 = -v. Let l = v + a. What is the greatest common factor of l and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from {z: 1, f: 18}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 10*y**2 + 9*y + 27. What is x(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 510830 and -140.6512.\nAnswer: 510689.3488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -60. Let u be x\/(980\/330) - (-2)\/7. Solve 4*o - 5*o + 3*q = 15, 0 = 5*o - q + u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 48 = 6*y. Suppose -g + 78 = 5*d, -g - d = -56 - 6. What is the remainder when g is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.8574 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6471703 (base 9) to base 8\nAnswer: 15175304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -4, -2 in decreasing order.\nAnswer: -2, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112*w**2 + 110*w**2 - 23*w + 113 + 28*w to the form u + h*w**2 + j*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 12590 less than or equal to 1661855\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186480*o = -186507*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2908 + -31953\/11. Let i = 1809\/4 - 5189\/12. Find the common denominator of i and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162 in -0.5, 1\/104, -2\/5, 1, 0.42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1744)\/144 + 19 + -5)*-9\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 15, 22\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 - 20*j**4 + 36*j**3 + 324*j**2 + 432*j = 0 for j.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439882 is divided by 375.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 6 = -3*i. Let s = 309 + -1544\/5. What is the nearest to s in i, 3\/8, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -206964.\nAnswer: 206961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*z**3 - 113*z**3 + 373*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*w + 12 = -7*w, 5*y - 34 = 4*w. Suppose -9*n = -y*n + l + 13, 2*n + l = 11. Calculate the least common multiple of n and 4 - 2\/(-1)*1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (25 + -13 + -4) - (-1 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 620290490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -48.2, 14, 1, 0, 4, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5930*l**3 + 5050*l**3 - l - 11754*l**3.\nAnswer: -774*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.009 - 0.209. Let x(g) be the third derivative of g**4\/6 - g**3\/6 - 2*g**2. Let d be x(2). Sort d, p, -0.1 in decreasing order.\nAnswer: d, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (1 + (2*sqrt(70) + sqrt(70))\/sqrt(10) - 2*(sqrt(252) + (sqrt(252) + -2 - sqrt(252)))))**2.\nAnswer: -90*sqrt(7) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -1)\/((-4)\/1044). Let f = x + 4957\/19. Let y be -1 + 4\/((-32)\/(-6)). What is the nearest to -1 in y, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000101000100 (base 2) to base 7\nAnswer: -15613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8*17\/204)\/((-11)\/3 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - -22. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 equal to 20\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 910\/(-480))\/(37\/111).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/5 - 56*z**3\/5 + 454*z**2\/5 - 1168*z\/5 + 768\/5 = 0.\nAnswer: 1, 3, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5334, -5638, -6150, -6870, -7798?\n\"Answer: -104*h**2 + 8*h - 5238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -518, -534, -560, -596?\n\"Answer: -5*m**2 - m - 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*m - 8, -20 = -5*d + 7*m - 3*m. Let o be (-1)\/(-5) + (-56)\/(-20). Is d greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -892, -3587, -8080, -14371, -22460?\n\"Answer: -899*i**2 + 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 + -146. Suppose 5*x = 2*x. Sort g, x, 5, -1 in ascending order.\nAnswer: -1, x, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 557, 1126, 1695, 2264?\nAnswer: 2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -1\/4, 51985, 2\/7, -5\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*y - m, y = 5*y - 4*m + 24. Let v = -159.29 - -159. Let i = 0.29 + v. Which is the nearest to i? (a) -4 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 1, o: 2, l: 7, c: 6}. What is prob of sequence ro?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3133110 - 4?\nAnswer: -3133114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 1:01 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 420\/228*(-306)\/(-1785)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 + 7 = 2*j, -2*i + j = -20. Suppose -8*w - 159 = -i*w. List the prime factors of w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 1 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**2 + 4*d**2 + 0*d**2)*(18 + d - 18)*(1 + 0 + 1).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96387?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u + 5. Let d be j(0). Suppose 17 = -2*i - 5*q, -2*q = -4*i - 0*q + 2. Put d, -3, i in increasing order.\nAnswer: -3, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -270, -583, -1010, -1545, -2182, -2915, -3738?\nAnswer: -4645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 10464.\nAnswer: 10463.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, 0, 3 in descending order.\nAnswer: 28, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 127. Let z(o) = o - 8*o + 14*o - 3*o - o. Determine a(z(w)).\nAnswer: 6*w + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + 0*u)*(1 + u**2 - 1) - u**2 + 2*u**2 + 0*u**3 - 4*u**3.\nAnswer: -3*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n**2. Let w(m) be the second derivative of 17*m**4\/3 - 39*m. Let t(i) = 6*w(i) + 85*y(i). Let z(x) = 2*x. Determine z(t(h)).\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2689301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9711\/1950*6\/(-81) and -151\/18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*q - 5*q + 4*q)*(-3 + 2 - 1) - 4 + 4 - q + q - 2*q + 0*q)*(0*q - 35*q + 59*q + (0 - q + 0)*(0 + 2 + 0) - 3*q + 3*q + q).\nAnswer: -138*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6904329, -13808655, -20712981?\n\"Answer: -6904326*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let p(m) be the third derivative of m**5\/20 - 11*m**4\/24 - 29*m**2 + m. Calculate v(p(b)).\nAnswer: 18*b**4 - 132*b**3 + 242*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -9*k - 16. Let x be (-30)\/(-2) + 0\/1. Suppose m = -2*m + x. Sort 3, m, k.\nAnswer: 3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 + -0.27. Let z = h + 0.06. Is z at least 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552 = 48*r + 43*r - 97 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 50 = -22. Let o = 74 - t. Solve b - 1 = -o*g, 4*b = -5*g + 6*b - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 178*f - 2139. What is the remainder when h(16) is divided by 147?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 273?\nAnswer: 26f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)\/(w**(-1\/2)*w))**9 assuming w is positive.\nAnswer: w**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -60. What is the greatest common factor of 36 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**2 - 58*g + 57. Give c(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3146 is divided by 134?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -401 - 3*i**4 - 2*i**4 + 18*i + 191 + 180 wrt i.\nAnswer: -20*i**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2 - 2*g - 2 + 0. Let s(d) be the first derivative of 0*d**2 + 17 - 10\/3*d**3 + 0*d. Give s(h(o)).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*s*v**5 + 31819*s*v**4 + 59639*s*v + 10*s - 5*v**2 wrt v.\nAnswer: -2220*s*v**2 + 763656*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (29 - (25 + 15)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -16, 5, 11.\nAnswer: -16, 5, 11, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2 = 2*b, 6*b - 3*l + 23 = 13*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8165.291 micrometers in millimeters?\nAnswer: 8.165291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180069 and 5211.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8830697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1324416 less than -1324419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65749867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*m - 6, s = 4*s - 3*m + 36. Let i(y) = -31*y + 20. What are the prime factors of i(s)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1254.3 + -1254. What is the fourth biggest value in 0.06, 0.2, -2, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -6.7. Let f = -86069\/73 + 1179. Let y = f - -152\/219. Which is the closest to 2? (a) y (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6*s)**3*(s**(-20))**10)**30 assuming s is positive.\nAnswer: s**(-5370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -165\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49 + 58.8. Let h = -3.8 + l. Let q = 0.9 - 1. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 175*n - 223. Let u(w) = 59*w - 75. Let p(z) = 4*m(z) - 11*u(z). Differentiate p(f) wrt f.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 184?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 851098 or 851220?\nAnswer: 851220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**3 + 3*y**2 + 3*y + 4. Let p be (-5)\/(-5)*(2 + 1). Let x(z) = z + 5 - 1 + 2*z**3 + z**2 - z**3 - 3. Determine p*x(i) - k(i).\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38573 divided by 633.\nAnswer: 38573\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b + 20*b + 18 = -2*d, 2*b - 7 = -d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 - 988 - (-12 + -1 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - 4)*(4 + 17 - 5) + 1 + 0 + 1)*(0*d**2 + 0*d**2 - d**2 + (-5*d + 0*d + 3*d)*(0 + 0 - 2*d)) to the form m*d**2 + t + x*d and give m.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 361956947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((6*(-4 + -2*sqrt(11) - (sqrt(11) - (sqrt(891) + -1))) - ((-1 + sqrt(1584))*-3 + 0))*-4)**2.\nAnswer: -76032*sqrt(11) + 929808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (0 + 0) - -44?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 737\/2 + 39\/(-26). Let f = 1102\/3 - p. Which is the third smallest value? (a) f (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 1:46 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1107, 1075, 1045, 1017, 991?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 7*k + 11. Let v(u) = -3*u + 22. Let y be v(10). Let c be o(y). What is the hundreds digit of ((-618)\/(-6))\/(c - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1014*q**3 - 7*q**2 - 66*q wrt q.\nAnswer: -6084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4478 + 613?\nAnswer: -3765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 789, 792, 795?\n\"Answer: 3*p + 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 + 15*q**2 - 17*q + 10. Let r(g) = g**3 - 5*g**2 + 6*g - 3. Let l(a) = -3*n(a) - 8*r(a). What is the units digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-144)\/(-120))\/(0 - (18\/(-40))\/3). Let w(d) = -d**2 + 12*d - 20. Determine w(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 10*s - 2. Let f be (-5 - -1) + (1 - 4). Let g be y(f). Suppose 0 = 2*r - 3*k - 22 - 15, r = k + g. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((113652\/242)\/41)\/((-8)\/(-44)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 5*g - 10. Let s be d(-6). Let o be 2 + (3 + s - -1). Find the third derivative of 15*k**5 - 8*k**5 - 4*k**2 - 3*k**o wrt k.\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9396 and 5466268.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = 2, 4*q = 4*o + 76. Let z = -67 + 97. What is the highest common divisor of q and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93 and 16582365.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.7 - 3.86. Let j = 60.16 + z. Let n = j - 59.99999919. What is n rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**2. Let o(r) be the first derivative of -5*r**2\/2 + 14. Give o(t(b)).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -4. Suppose 5*z = -m, 5*z = 4*g - 22 - 121. What is the highest common factor of 32 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 849.99 + -850. Sort -2\/21, 3\/7, u, -1\/5 in increasing order.\nAnswer: -1\/5, -2\/21, u, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -3*a + 1. What is the tens digit of y(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 - 5 = 0. Suppose 4*s = x*w + 66, -4*s - 2*w + 33 + 23 = 0. Let p be 5\/((-20)\/(-8)) + 12. Solve -5*y = 11 + p, j - s = 2*y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -3, -2\/11, 443 in increasing order.\nAnswer: -3, -2\/11, 5, 8, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/99*3*(-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**8\/336 + 11*i**7\/210 + 19*i**6\/60 + 13*i**5\/15 + i**4 - 11*i**2 - 5*i. Factor g(u).\nAnswer: u*(u + 1)*(u + 2)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Suppose -c = -3*c. Let i = c - 2. Is i < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-1493\nAnswer: -895.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3) - 2)*(25 + (-110)\/5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -6 + -2 + 0. Let f(z) be the second derivative of -z**4\/12 - 2*z**3\/3 + 4*z**2 - 39*z. Determine f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -3*x**4\/2 - 7*x**3\/3 - 34*x**2 - 201. Find the second derivative of g(a) wrt a.\nAnswer: -36*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 329 = -5*r - 136, -f - r - 199 = 0. Let m = f - -212. Calculate the remainder when 38 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5134459779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 18 = 3*t + 3*h, h = -2*t + 7. What is the derivative of -2 + 1 + 4 + t + 4*y**2 wrt y?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/19 in 0, -55, 1\/7, 0.2, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 12*b**2 - b - 496. List the prime factors of w(-21).\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2162.4 - -2164. Let t = 2.8 + -4. Let m = t + s. What is the closest to -1 in -1, m, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 0 + 8)*(0*s + s + s) + (-1 - 2 + 2)*(-s - s + s) to c*s + y and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 5:54 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -0.3, -382, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 + y**2 + 3*y + 2. Determine z(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -18. Let r = u - -3. Solve -3*m = 2*j + 2*j - r, m = -j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 186.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 5:07 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**3 - 25519908*j + 25519908*j.\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 5*k**2 - 8*k - 3. Let t be n(7). Suppose -1 + 7 = 3*h. Solve -3*v + 16 = -h*j + t, 5*j = 2*v + 30 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.15 - 0.15. Let n = -6.4 + p. Sort -1\/4, 3\/2, n in descending order.\nAnswer: 3\/2, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 3*m - 1. Calculate i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1 + -2 - -3. Is (-3774)\/(-9) - v\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x. Suppose -2*p + 12 = 2*p + 4*h, 0 = p + 4*h. Suppose -6*b + b + 10 = 0, 3*w = p*b - 17. List the prime factors of a(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16 - -8)*1*-1. Let f(o) = o**2 - 10*o + 13. Calculate f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 11*a**2 + 11*a - 23. Is m(9) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 327*u - 327*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/151728?\nAnswer: 1\/151728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 7. Let p be (4 + -16)*(-3)\/l. Let u(k) = -3*k**2 - 4. Let r(b) = 4*b**2 + 5. Give p*r(v) - 5*u(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 447518091 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1133?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-9) - (-991 + 1) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/170 + 691*p**4\/34 - 358456*p**3\/17 + 1073296*p**2\/17 - 2*p - 5263. Factor g(t).\nAnswer: -2*(t - 1036)**2*(t - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*((sqrt(684) - (sqrt(684) + 0)*1)**2 + sqrt(684))*-4.\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (7 - 27 - -49) + (5 - 24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 19*p - 14 + 10 to the form g + m*p and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1474*z + 17648. Calculate f(-12).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v - 20 = 0. Suppose y = -5*b + 2*y - 3, -v*y = -2*b - 12. Suppose b = 2*d + 3 - 17. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 188869, 188871, 188871, 188869?\n\"Answer: -v**2 + 5*v + 188865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*h, 5*g + 5 = 10*g - 5*h. Let l be 1 - (2 + g) - 299999. What is l rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4482*f + 156223. Determine n(35).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3389158, -3389157, -3389156, -3389155?\n\"Answer: g - 3389159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195\/4 less than or equal to -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*q - 12366 - 13144 = -24370 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*a - 11 = 0, -4*v + a + 63 = 2*a + 79 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.5 - -8. Let t = f - 3. Let i = 0 + -0.4. What is the biggest value in t, -3, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/(-1504)*496*-2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250070144?\nAnswer: 2, 1953673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 48*v + 1. Let g be u(-1). Suppose -3*q - 100 = 4*j, 3*q + 3*j + 64 = -35. Let a = q - g. Solve -5*k + 10 = -3*m, 0*m - 5*k = -2*m - a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 40*s - 97 = -59*s + 23*s, 0 = -4*s - 92 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121323233 (base 4) to base 12.\nAnswer: -5157b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 91005?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -651*s - 5763*s + 159034 = -540092 for s.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 21*i - 154364. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 331211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t - 4*j = 61, 0 = -4*t - 4*j + 20. Suppose 3*y - 31 + 7 = 0. Let k be (-3)\/(-12) - (-502)\/y. What is the greatest common divisor of k and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2. Let u be 168\/27 + 4\/(-18). Let s(m) = -4 - 3*m + 10 + 2*m. Let g(t) = 2*t - 17. Let b(y) = u*g(y) + 17*s(y). Calculate b(z(q)).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/465 and 1 + 0 + (-5300)\/2250.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -957 - 22?\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 2*z + 8534, -738*z - 27 = -735*z. Calculate the remainder when 4286 is divided by f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -4. Let n = -2 + v. Is (1 - -105) + n + 6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + k = 15*n - 7, -4*n = -2*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2012661, -2012665, -2012669, -2012673, -2012677?\n\"Answer: -4*m - 2012657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -333 + 6?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 4 = -2. Solve -4*u = 5*h + m, -4*h = u + 3*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-4) + (-3)\/(-12). Let s(u) = 3*u + 1. Let h be s(d). Let m(l) = -l**2 + 8*l + 7. What is the tens digit of m(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 14. Let r be w(14). What is the nearest to r in 5, 2\/15, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + 7 + 0*l + 3*l + ((2*l + 4*l - 4*l)*(-1 + 2 + 0) + 2 + 2*l - 2 - 7*l + l - 10*l)*(-5 - 1 + 5)*(17 + 21 - 3).\nAnswer: 421*l + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*p - 7, 4*s - 38 = 3*p - 20 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 371135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91959 = -37*t + 58*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-14))\/((-4)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4109763 to 3 decimal places.\nAnswer: -1.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2699937 and 47698887.\nAnswer: 143096661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6447 + 117?\nAnswer: -6330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 + 6153*l**4 + 18441*l**3 + 18435*l**2 + 6144*l.\nAnswer: 3*l*(l + 1)**3*(l + 2048)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i - 1 = -50*i. Suppose 4*k - 4*f - 44 = 2*k, 2*f = 2*k - 34. Let s be 1\/(-2)*k\/14. Which is the second biggest value? (a) s (b) -1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2921*v - 9695.\nAnswer: -2921","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12850 = 2*l - 15756, -5*v = -5*l + 71515. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-30))\/(-9*3\/(-90)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3164 + -3161. Solve -y*j = -5*r - 25, r = j + 1 - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10989.23 centuries in months?\nAnswer: 13187076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 42553 - 11711. Suppose -5*m + t = 4*r, -r + 0*r + 440 = m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + -245123?\nAnswer: -245077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14684120 and 4048?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3088189 and 403.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92556, 86040, 79524?\nAnswer: 73008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -212 in 0.2, 1\/4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1268 and 7115699?\nAnswer: 28462796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/53170 and -21\/26.\nAnswer: 53170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*p + 3517 = 1087. Solve -38*f - 168 = -p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -8613*n + 8611*n + 2*m, -n - 4 = 2*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 >= 1819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 6 = 3*g. Let w(a) be the third derivative of -a**5\/60 - a**4\/12 - 2*a**3\/3 - 11*a**2. Let t be w(0). Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y + 3*y)*(-14 + 7 - 2).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.40262588 * 2.\nAnswer: -0.80525176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwl when three letters picked without replacement from pltllwlltuhwtwpulw?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 288281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-110)*-2)\/(850\/(-4250)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 3. Let c be g(0). Solve -7*a = 4*v - c*a + 4, 3*v + 2*a = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*j - 97*j + 21*j**3 + 2*j**3 + 3*j - 3*j + (j + j**2 - j)*(-2*j + 0*j + 3*j) + 169*j**3 + 5856*j - 5856*j.\nAnswer: 193*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2638727 or -2638726?\nAnswer: -2638727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 48*d - 7. Let x be g(6). Suppose 4*v - 979 = x. Suppose 5*t + 0*t = -v. Round t to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101376242.32 - -3554.\nAnswer: -101372688.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from lllyylpyluypu?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + l)*(2*l - 3367051*l**2 + 3367051*l**2 - 7067*l**4).\nAnswer: -7067*l**5 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -7*r. Suppose 5*l + r*l = 3*k + 105, -2*l + k + 41 = 0. Calculate the greatest common divisor of 198 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 4, -1, 21, -107, -19 in ascending order.\nAnswer: -107, -19, -2, -1, 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 13*a + 2016 = 0. Let v = a + 174. Let f(o) = -4*o + 9. Give f(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*r - 160. Let g = 222 + r. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240)*-2 - sqrt(240))*6 + sqrt(240) - sqrt(240) - sqrt(240)) + sqrt(240) - sqrt(240)*-2*5)\/((sqrt(144)*1*-4)\/(4*sqrt(12)*2)).\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d**3 + 41*d**2 - 5*d + 21. Let o(q) = -q**3 + 8*q**2 - q + 4. Determine 11*o(v) - 2*r(v).\nAnswer: v**3 + 6*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22005 + -9471. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/5940 and -47\/13098348.\nAnswer: 720409140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + 5 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/7)*r\/r**(-2\/9)*r**(2\/7)*r*r*r**(1\/4) assuming r is positive.\nAnswer: r**(911\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -17. Find the second derivative of 3*h - 2*h + 16*h**4 - 9*h**c wrt h.\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10333455 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from {b: 1, c: 3, k: 2, j: 4, r: 4}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8504, -17012, -25520, -34028, -42536?\nAnswer: -51044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*y**2 + 52*y - 1187*y**2 - 87*y + 35*y.\nAnswer: -973*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -707 + 728. Solve 0 = -11*p + h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/25, -2\/5, 17?\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 457039621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**4\/12 - 5*f**3\/6 - 2*f**2 - 12*f. Factor x(o).\nAnswer: -(o + 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n. Let s(p) be the third derivative of -7*p**4\/24 - p**3\/2 + 6*p**2. Let v(j) = -j - 1. Let o(f) = -2*s(f) + 6*v(f). Determine 3*o(y) + 21*w(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-29)\/(u**1*u)**(-30)*u**2\/(u\/(u*u**(-5)))*(u**(1\/4))**(-10) assuming u is positive.\nAnswer: u**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1329 + 1433 = 13*m. Solve 80 = 22*q - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h - 1. Let z be p(1). Let g = z - 4. Suppose 3*l = -5*n + 157, -3*l + 9*n + 167 = g*n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298656196.\nAnswer: 2, 23, 149, 21787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -1, -3 in decreasing order.\nAnswer: -1, -3, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 160 (b) -32 (c) -2\/11 (d) 1\/288\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (183\/549)\/(-4*(-9)\/(-1836))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 bigger than -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 1 = -j. Let g be (-1508)\/j*1 + 2. Let p = -106 - g. Which is the third smallest value? (a) 0 (b) p (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 50 = -4*h, 3*h - 11 = -5*z + 39 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7123 - 1028. Suppose 5*c = c + 12, -4*x = c - n. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 25, 3*k - k = -5*o - 370. Let u = -54 - o. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x + 23. Let w be 2\/(-9) + 68\/(-18). Let d be r(w). Let m = d + 15. Solve m = h + h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92 + 33. Let r = z + -150. Let w = -24.9 - r. Which is the second smallest value? (a) -0.5 (b) 5\/4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2763 + 1684 + 1597)*(-6 - 7*h + 6).\nAnswer: -3626*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/3, -28458.6, 2\/5.\nAnswer: -28458.6, -0.2, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -181*q**6\/6 + 52*q**2 - 2*q - 464. What is the second derivative of h(w) wrt w?\nAnswer: -3620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 912\/55 + -20101\/990. What is the common denominator of -51\/14 and f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90+-0.143\nAnswer: 89.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -218100 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + a = 6*a - 45, -3*a + 40 = 5*z. Let k be 5\/1 - (-1 + 4). Calculate the greatest common factor of z and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 141701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1381, 2776, 4015, 5020, 5713?\n\"Answer: -13*z**3 + 1486*z - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.929825cm to nanometers.\nAnswer: 79298250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + -18. Let v = -20 - p. Let c(t) = -7*t + 57. Let z be c(0). What is the greatest common factor of v and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1229476051.3999689 - -1229476109. Let m = v + -57.6. Round m to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 2, c: 4, x: 2}. Give prob of picking 2 c, 1 x, and 1 u.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Let j(s) = 2*s**2 - 2*s**2 + 10*s**3 + 3*s - z - 3*s**3. Is j(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.87 + 0.26. Let b = q - -1.7. Let t = 0.08992 - b. Round t to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y - 6. Let l be g(6). Let k = -67 + 107. Let v = k - l. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138916151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 50828405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t - 12. Suppose 2*j + t = 5*w, -4*w - 5*j = -38 + 12. Calculate the smallest common multiple of ((-3)\/6)\/((-1)\/w*2) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4930 - -19615\/4. Let s = -26 - k. Which is the second smallest value? (a) s (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 69. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.3427 months to years.\nAnswer: 60.445225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*u = -23, -4*u + 2 = 22. Let r = d + 0. Suppose t = r*l - 2, -5*l - 2*t + 5 = -9. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 + 15*m + 2*m**2 - 4*m**2 + 3*m**2. Let l(o) = 4*o**2 + 15*o - 1. Let i(z) = 6*h(z) - 5*l(z). Factor i(y).\nAnswer: 5*(y + 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -5\/6*z**3 + 0 - z**2 + 1\/12*z**4 - z. What is the remainder when 34 is divided by o(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -4, -4\/5, 3.\nAnswer: -20, -4, -4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -17*a**2 - 234*a - 164. Let n be j(-13). Solve n*k - 8 - 32 = 0, 2*z + k - 16 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 44 = -0*h. Let k = -7 - h. Solve 0 = -k*b + 4 - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 9*u - 4. Let t be c(11). Suppose -3*d = 20 + 31. Let q = d - t. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/32*1144\/26?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*g + 0*i - 78 = -8*i + 3*i, -3*i + 52 = 4*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, o: 3, n: 4, c: 5}. What is prob of picking 3 n and 1 c?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 + 5*z - 31. Let h(g) = -2*g**2 + 3*g - 16. What is 7*h(t) - 4*i(t)?\nAnswer: -2*t**2 + t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -498 + 497.803. Let p = -0.1970061 - i. What is p rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6*p + 73 = -11*p, -r = 2*p - 59. What is the least common multiple of 36 and r?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185348.22ms to minutes.\nAnswer: 3.089137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -684*d**4*w**2 - 2*d**3 + 19*d**2*w**2 - 248*d**2 wrt d?\nAnswer: -16416*d*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -r + 38, -2*r + 5*r = -5*w + 90. List the prime factors of r.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 41*z - 13. Let b be o(-20). Suppose 1010 + 208 = b*v. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12148*z + 119*z**4 + 12148*z - 2*z + z**4 + 2*z - 2*z + 2*z + 3*z**4 + (-2*z + 0 + 0)*(z**3 + 3*z**3 - 3*z**3).\nAnswer: 121*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 2*b**7\/105 + b**3\/2 - b**2 + 3. Let w(c) be the second derivative of a(c). Differentiate w(k) wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*u - 79*u - 51*u - 418*u**2.\nAnswer: -418*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(63\/18 + -3 + 0). Let z(t) = -11*t**2 + 0*t - s*t + 23*t**2 + 2 - 13*t**2. Give z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 6*s - 10. Let p be b(-8). Is p bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**3 + 17*q**2 + 2*q + 194.\nAnswer: -3*q**2 + 34*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1222 = 5*u + 3456, 2242 = -5*u + 3*x. Let g = 1138 + u. Let d = 1063 - g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207299, -207284, -207255, -207212?\nAnswer: -207155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 12\/(-9). Let v be 1 + n - (-120)\/5. Solve -3*i - v = 4*y, -3*i = 3*y - 4*y + 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61190 is divided by 85?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2988 and 43066791.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306 or 457?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a + 1. Let u = 5 + -4. Let v(z) = 3*z**3 + 2*z - 3. Let t be v(u). Let j(s) = -s. Determine t*j(q) + p(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2340963*l**3 + 38*l + 2805 wrt l?\nAnswer: -14045778*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 466 - t - 9*t**4 - 229 - 232 as v*t**3 + k*t + z + j*t**4 + o*t**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -402.037 * 0.5.\nAnswer: -201.0185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 10*v + 4. Let p be f(-10). Let k(b) = -b**2 + 5*b - 3. Let q be k(p). Is q\/(-3) - 240\/(-18) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 3*q + 1. Let h(i) be the second derivative of 14*i + 7\/6*i**3 + i**2 + 0 + 7\/12*i**4. Give 4*h(j) - 10*k(j).\nAnswer: -2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 0, -14, -24, -24, -8?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210220 (base 3) in base 16?\nAnswer: 24f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + (147\/42)\/(56\/(-464)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.32, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4316 (b) 158 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68753, 275089, 618987, 1100447, 1719469, 2476053?\nAnswer: 3370199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4745, -37894, -127873, -303098, -591985, -1022950?\nAnswer: -1624409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1553 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 29. Let m = c - 65. Let w = -61.00049 - m. What is w rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 4:03 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 344*h + 486. What are the prime factors of b(10)?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/5 + 475*u - 37744\/5 = 0. What is u?\nAnswer: 16, 2359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-35) - (-6)\/8*(-572)\/429?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62872?\nAnswer: 2, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/1 + 3\/(24\/(-34)). Is -1\/20 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 5*s - 5*s + s. Let l(q) = -3*q. Give l(v(x)).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 18 + 10. Solve x + 3*x = -n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.1 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*f - 219395000 = -181*f. Round f to the nearest one hundred thousand.\nAnswer: 19900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 - c3?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4339, 34858, 117717, 279088, 545143, 942054, 1495993, 2233132?\n\"Answer: 4362*f**3 - 2*f**2 - 9*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/7)\/(220\/(-70))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:59 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 3*c**2 + c - 2. Let f be s(3). Let d(y) = 14*y**3 - 2*y**2 + y. Let h be d(f). Solve 2*z = 6*z + 5*r + 13, -5*z - 3*r - h = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**2 - 6*p + 41. Let v(u) = 5*u + 13. Let m(k) = -13*c(k) - 6*v(k). Determine m(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1554068210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, -2, 4\/5, -202357, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 607*t - 12751. Determine v(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89060 by 244.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.77 - -1.51. What is the second smallest value in q, -1\/6, 2\/15?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703680 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*j**3*w + 854612*j**2*w**3 - 7*j*w**3 - j*w**2 - 3*j + 18*w**3 + 259*w wrt j.\nAnswer: -180*j*w + 1709224*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:24 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*g + 44, -4*g - 23 - 17 = -3*c. Solve c = -5*b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 24. Let p(u) = u - 2. Let w(l) = j(l) + 2*p(l). Let d be w(-6). Suppose 5*a - 30 = 3*a. Solve -2*n + 4*x + x - a = 0, 4*x - 10 = d*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 21357 = 19*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -981142, -981143, -981144?\n\"Answer: -p - 981141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27889.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, -1785, -5015, -9569, -15465, -22721?\nAnswer: -31355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 6*b**3 + 54*b**3 - 29*b**3.\nAnswer: 21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2 and 31\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017920431 to 7 decimal places.\nAnswer: 0.0001792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18348.53013 milliseconds in weeks?\nAnswer: 0.000030338178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**4\/24 + 3*y**2\/2 - 3*y. Let l(r) be the first derivative of v(r). Suppose 5*u - 5 = 10. Give l(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78936427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/(-10) + 30\/50. Let b be f + 3 + -2 + 3. Suppose b*q - 23 = -l, -5*l = q + 4*q - 90. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:15 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 - 2*y**2 - 10*y + 0 to g + v*y + m*y**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1143\/4 + 1145\/4. What is the third smallest value in g, 0.4, -0.0445?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9\/2 (b) -163 (c) -2\/9 (d) 1\/40 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 273203179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9435?\nAnswer: 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*a - 53*a + 118*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122201120 (base 3) in base 12?\nAnswer: 26313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 22*m**2 + 243*m - 28. Does 9 divide s(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*r**2 + 7*r**2 + 12*r**2 - 7*r**6 - 15*r**6 wrt r?\nAnswer: -2640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 11. Let t be q(-8). Let a be 1*(7\/(7\/3) - t). Solve 20 = 2*r - a*r + 2*o, 5 = o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694374327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297994 is divided by 49646?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5 - 4*b**2 + 5 + 6*b**2. Let h(f) be the second derivative of -f**4\/8 - 4*f**2 - 5*f. Let x(q) be the first derivative of h(q). Give x(k(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 191 or 190?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - t**4 + t**2)*(1 + 0 - 3) + (1 - 2 - 1)*(0*t**4 - 5*t**4 - t**4) to j*t**2 + w*t**4 + x*t**3 + g*t + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (1 + sqrt(3) + 1)**2).\nAnswer: -48 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 4*p**2 + 6*p - 5. Let v be (-24)\/(-64) - 86\/16. What is a(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36, 66, 108, 156, 204, 246, 276, 288?\n\"Answer: -w**3 + 12*w**2 + w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/2 - (13 + -3 + 3). Let o(w) = w**3 + 15*w**2 + 15*w + 17. Let i be o(m). Solve 0*n - i*n + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512\/3 < 172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -6*m + 19, -3*c + 3*m - 242 = -233 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*q - 917 = 0, 614 = 29*l - 27*l - 2*q. Is 303 != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11159 and 69.\nAnswer: -769971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 740 - 497. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17644356839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - ((-2187)\/45 - 672\/(-32)). Factor 0 - 374\/3*p**2 - 171\/2*p**4 + 183*p**3 - 9\/2*p**5 + v*p.\nAnswer: -p*(p + 21)*(3*p - 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 9:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -37 - (-4 - (-1)\/1). Is l at most -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 17*h - 14*h. Let w = h - 27. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 35*g**4 - 148*g**3 + 1229*g**2 + 12*g + 6. Let c(z) = -30*z**4 + 150*z**3 - 1230*z**2 - 10*z - 5. Let v(u) = 6*c(u) + 5*l(u). Solve v(p) = 0 for p.\nAnswer: 0, 13, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.89 (b) -2 (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -41?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77, 313, 707, 1259, 1969?\n\"Answer: 79*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is -705 - -178?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (373520\/3696 - 101)*(-1)\/2*-3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1586817321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (7 - 1) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -10 + 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -330, 33, 396, 759, 1122?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 17*i**2 + 17*i - 25. Give t(18).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0 = 3. Let r(o) be the first derivative of o**2\/2 - o - 1. Let u(p) = -2*p. Let s = 644 - 645. Calculate s*u(v) + w*r(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-252)*(-2)\/(-32)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -3400?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936.876 - -6820?\nAnswer: 8756.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + 16*w**2 + w + 13. Let v be i(-8). Suppose -v*o = -3*j, 4*j - 2*o = 2*o + 8. Let z be (-2)\/6 - j\/3. Sort -5, z, 11 in ascending order.\nAnswer: -5, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 + 4*n**2 + 4*n. Let c(d) = 4*d**3 + 5*d**2 + 5*d. Suppose 2*y = 2*g - 20, 15*g + 10 = 12*g - 5*y. Determine g*k(r) - 4*c(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 291514658*y**4\/11 - 193168*y**3\/11 + 32*y**2\/11.\nAnswer: 2*y**2*(12073*y - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64625288 by -32312644.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -5 (b) 1.5 (c) 2\/23 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9864 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrxrrrx. Give prob of sequence xrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 0.02034648689626.\nAnswer: 5.02034648689626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:44 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(275\/594)*5*(-3)\/3.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2272989662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**3 - 2*x**2 - x + 2. Suppose 0 = 58*y + 169 - 111. Calculate w(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10366 = 308*n + 32*n - 506 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaesttstetese. Give prob of sequence tt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 588 divided by -19\nAnswer: -588\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6976 and 1029750032.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*g + 580 - 19 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24305.0469 rounded to the nearest one hundred?\nAnswer: -24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.64 + 0.14. Let o = -10 - -15. Let d = o + -3. What is the third smallest value in l, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4644.723 + -4641. Let c = f - 3.78. What is the biggest value in -0.1, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**4\/6 - 4*j**3\/3 - 3*j**2 - 24. Determine i(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -42*b - 65. Let t be s(-5). What is the hundreds digit of (-40)\/(-3)*(t\/10 + 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s + 3*i + 131, 3*s + 177 = 2*i. Let y be 3\/6 - 246\/(-4). Let w = y - s. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53\/4 + 161\/12. Let p be ((-21)\/54)\/(1\/4). Let h = p - -17\/9. Sort 0.1, s, h in ascending order.\nAnswer: 0.1, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11a02b6 (base 12) to base 16.\nAnswer: -3487aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -402300 divided by 13410.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11669?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q + 3. Let j be y(2). Let x be (-4 - j)\/3 - -67. What is the greatest common divisor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74745496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/37873 - -2499605\/492349. Let k be -1 - 1*5\/(-1). Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -29*o**2 - 16*o - 7*o**2 + 48 - 16*o**2 + 8*o**4 + 8*o**2 + 4*o**3 = 0. Calculate o.\nAnswer: -2, -3\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 10:54 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**3 + 2*r**2 - 4*r - 3. Let l(x) = -33*x**3 + 10*x**2 - 16*x - 12. Let w(z) = 9*j(z) - 2*l(z). Calculate w(-2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f - 2*f**4 + 8*f - 2*f**3 - 3*f**2 - 16*f - f**3 to q*f**2 + n + u*f**4 + z*f**3 + w*f and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -1 + 7. Suppose -6 = -v*k - 0*k. Suppose -k*r + 5*c + 26 = 0, 2*r + 2*c - 4*c - 12 = 0. Let b(z) = 2*z**2 - 2*z + 2. Determine b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(11)*-1 + sqrt(11) + (-2 + sqrt(33)\/sqrt(3) - sqrt(11)) + 5 - (1*(sqrt(121) + -2*sqrt(121)))\/(-1*(sqrt(11) - sqrt(33)\/sqrt(3)) + sqrt(11)).\nAnswer: 3 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*sqrt(117)*3)**2 - (-1 + -2*sqrt(117) - sqrt(117))**2).\nAnswer: -18*sqrt(13) + 36859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*r**4)*(-23*r - 18*r + 13*r) + r**5 - r**5 + r**5.\nAnswer: -55*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 5. Let i be u(-5). Let d = -2 - -4. Suppose -d*y = -5*y - 6. Put 3, i, y in descending order.\nAnswer: 3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 20. What is the remainder when 6 - t - (-9)\/(-3) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*n**3 + 337*n**3 + 28*n - 28*n.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(-8)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -11519, -0.4, 0.5466, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-2) - (-194)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3 + 7*w**2\/2 - 2*w. Let l = 361 - 366. Let i(d) = 3*d + 3. Calculate l*i(k) + 2*o(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 41*n**7 - 589*n**4\/6 - 2266*n + 2. Find the third derivative of r(m) wrt m.\nAnswer: 103320*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k. Let a(v) = 14*v - 8*v + 2*v. Calculate d(a(t)).\nAnswer: -136*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-6)\/(-9))*-12. Suppose 0 = 6*u - z*u - 8. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.9213 and -0.078?\nAnswer: -1.4758614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4272643?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 12. Let d be p(6). Let g = d + -16. Suppose 0 = -g*q + 7*q + 5. What is the second smallest value in 4, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = m - 62, -2*t - 16 = -3*t - 2*m. Let r(k) = k**3 - 3*k**2 - 2*k - 3. Let h be r(5). Solve -h = 5*c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38887 (base 13) to base 12.\nAnswer: 5072a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.88 + -0.12. Let y = 2 + w. Which is the nearest to -0.1? (a) 3 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bddz when four letters picked without replacement from {o: 2, e: 4, d: 5, z: 7, b: 2}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 + -6)*(0 + 4). Let s(w) = -w**3 + 4*w**2 + 3*w + 2. Let q be s(v). What is the greatest common divisor of q and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11453 and 124?\nAnswer: 1420172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from -10136381079060.\nAnswer: -10136381079060.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0, -4, -1, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 8*x**2 + 10*x + 9. Determine t(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 + 1 - 1 + 2*f**4 - 3*f**4 + 3*f**4 + 3*f**4 - 4*f**4 + 2*f**4 + (2*f - 3*f - f)*(-2*f**3 - f**3 + f**3) - 230 + 230 - 144*f**4.\nAnswer: -139*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39953 and -38.02.\nAnswer: -39991.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Determine i, given that 0*i - 4*i**2 + 2*i + v*i**3 + 2*i - 2*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.94 + -0.74. Put -0.2, -3, u, -5 in increasing order.\nAnswer: -5, -3, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14d (base 15) to base 6.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6273 divided by -17?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-40))\/(2\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p**(-1)\/p)**(10\/3) assuming p is positive.\nAnswer: p**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(832)*5 - sqrt(832)) + 3)*2.\nAnswer: -192*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 0 - g**2 - 58.\nAnswer: -g**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c. Let x(r) = -1113*r + 1. Calculate x(u(q)).\nAnswer: -4452*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/3*v**4 + 0*v + 0*v**3 + 0*v**2 = 0. Calculate v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 4*t + 5. Let z(f) = -f**2 + f - 1. Let o(a) = p(a) + 3*z(a). Let l be 39\/9 + (-2)\/(-3). Let c = l + -2. What is o(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43771 divided by -13?\nAnswer: -3367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 246, 227, 212?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z. Let c be (-1)\/(-2)*-2 + (-6)\/(-6). Suppose 16 = 5*j - 3*s + 2*s, 5*s - 40 = -5*j. Solve 4*o - j*k = -c*k, z = -3*k - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 + -64. Suppose 3 = -5*t + 6*t. Suppose -10*d + 393 = t. Are k and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -44717017921.\nAnswer: -44717017926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3076, 13369, 30528, 54553, 85444, 123201, 167824?\nAnswer: 219313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254 is divided by 912.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-16)\/240*-6*3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.921174 centuries to millennia.\nAnswer: 0.1921174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 9437*p**2\/2 - 998*p - 1494. Differentiate x(v) wrt v.\nAnswer: 9437","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/77 + 20 + 2679\/(-133)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4503007 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6.70457772+0\nAnswer: 6.70457772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + x - 3*t + 48 = 0, 0 = -2*x + 4*t + 2. Suppose 2*v + 0*v + 16 = 0. Let g be v\/(-28) - 5\/(-7). Calculate the greatest common divisor of g and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 4*l - 8, -16 = -4*p + 4*l. Let z(u) = u**3 - u**2 - u**2 + 0*u**2 + 2*u - 1. Calculate the remainder when z(3) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/5 + 27378*d\/5 + 19909893\/5.\nAnswer: -3*(d - 9803)*(d + 677)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/21 in -5, 63\/5, -1\/24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7269 * 0.3\nAnswer: 2180.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1674843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 64 = -25*r - 64. Let v = 2.05 - 2. Which is the second smallest value? (a) 3 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 d when four letters picked without replacement from zzzzzzzzdffzzz.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 173288248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 98749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:17 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2\/2 - 726415*d - 105535750445\/2 = 0. Calculate d.\nAnswer: -145283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27373 is divided by 234?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4174 + 4140.06. Let i = -34 - t. Let p = 5.5 - 5. Which is the fourth biggest value? (a) -5\/4 (b) i (c) -1 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -50. Determine i, given that 288\/7*i + 32\/7 + 14*i**5 + 880\/7*i**2 + 1072\/7*i**3 + 78*i**y = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 96 = -12. Find the third derivative of 5*n**5 + 210*n**6 + 3*n**4 + 3*n - 187*n**6 - o*n**2 - 3*n**4 wrt n.\nAnswer: 2760*n**3 + 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3403796 divided by -1701898.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 24. Let d be x(-24). Solve -15*q + 11*q = d for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a week in hours?\nAnswer: 2604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2119*s**4 - 2325*s**4 + 4668*s**4 + 304 with respect to s.\nAnswer: 896*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-21) - 89\/(-7). Suppose -p - 5 - 20 = -b, -3*p + c = b. Suppose 3*z + b = 5*w, 27 = 5*w + 5*z - 3*z. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + g. Let b be f(-2). Suppose b*j - 20 = -2*j. Solve 2*r + 0*r = -j*o + 12, -4*o - 3*r = -4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7970 and 742007?\nAnswer: 7420070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1086)\/(-39) - (-12)\/78. Let j = g - 83\/3. Factor -2\/3*x**2 + 0 + 1\/3*x + j*x**3.\nAnswer: x*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11041225 (base 7) in base 12?\nAnswer: 39a5b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1862 + -1870. Let p(q) = 11*q**2 + 9*q. Let o(t) = -1 + 334*t**2 + 1 - 317*t**2 + 14*t. What is k*p(v) + 5*o(v)?\nAnswer: -3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 4*y + 10. Let t(a) = -3*a**2 - 11*a + 31. Let d(n) = 8*b(n) - 3*t(n). Let j be d(-5). Solve 2*s + 3*k + 5 = 0, -3*k - 8 = j for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330318 <= 2330322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*b + 249 = 0, 66*b = -5*t + 71*b + 685. Calculate the greatest common factor of t and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816233791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/3975 and -31\/45.\nAnswer: 11925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -549*y**2 + 594*y**3 - 294*y + 549*y**2 - 1190*y**3 + 589*y**3 + 2*y**3 - y**3 - 2*y**3 + (2*y**2 + 3*y**2 - 4*y**2)*(-3 - y + 3).\nAnswer: -9*y**3 - 294*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - (-23 - -25) - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6807290 - 6807279.520473. Let g = 10.48 - o. What is g rounded to five decimal places?\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 108 - 60. What is the smallest common multiple of j and 22?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + c + 0*c)*(3*c + c**2 - 3*c + (2 - 2 + c)*(2*c - 2*c - 2*c) - c**2 - c + c).\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -176 times -2681\nAnswer: 471856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**4\/5 + 351*o**3\/5 + 17439*o**2 + 592137*o\/5 = 0. Calculate o.\nAnswer: -117, -7, 0, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 2*q + 5*q)*(59 - 19 - 25)*(-19*q - 49*q + 10*q) in the form r + x*q**2 + p*q and give x.\nAnswer: -6960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 + -3.299898. Round r to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, -3, 0.\nAnswer: -23, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.106772842 + -251557.7?\nAnswer: -251557.593227158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 - 643 - 3*t + 643)*(-9 - 2 + 1).\nAnswer: -50*t**2 + 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 2 + (-8 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409211320 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + m. Let a(s) be the first derivative of s**4\/2 - 2*s**2 + s + 77. Determine -a(v) - 4*x(v).\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 67051\/2 + -6*(-2)\/(-8). Suppose -n = -25*y - 9374. Does 21 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 120 and 120 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 12. Let a(b) = -2*b - 12. Let o(d) = -4*a(d) - 3*n(d). Let x be o(14). Sort x, -3, 3.\nAnswer: -3, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {u: 6, p: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*h - 120 + 472. Solve -a - 13 = -s - h, 3*s = -a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -36. Let l = -5 - v. Differentiate 20 - 11 - 11*m**3 - l*m**3 wrt m.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 7*c - 4*c**2 - 3*c + c**3 + 3*c + 7. What is the tens digit of j(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 - 98. Let p be (-90)\/27*(-6)\/4. Suppose -n + 38 = p*y, 3*n + 4*y - 125 = -0*y. Calculate the remainder when i is divided by n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225 - -9772. What are the prime factors of q?\nAnswer: 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*u**2 + (4 + 0 - 6)*(-2*u**2 + u**2 + 3*u**2) + 16*u**2 - 3*u + 3*u - 3 + 5*u**2 + 3 + u**2 + 2*u - 2*u.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l - 1. Let t(f) = f**3 - f**2 - f + 3. Let m(o) = -4*o**3 + 7*o**2 + 8*o - 22. Let a(j) = 3*m(j) + 21*t(j). Calculate a(i) - 3*k(i).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -337 + 351. Solve 0 = -2*i - 5*i + b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 - -4.1. Let s = -46738\/161 - -457\/23. Let u = 270 + s. What is the biggest value in c, u, 0.04?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 18, -x + 62 = -2*b - 3*b - 3*x + 89 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1614 - -1614. Let s(y) be the second derivative of 0 + 10*y + i*y**2 + 1\/6*y**3. Let a(l) = 22*l. Determine a(s(g)).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59 + 273. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211228325, -844913311, -1901054963, -3379653287, -5280708289, -7604219975, -10350188351?\nAnswer: -13518613423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/18 + 1 + 250\/90. Solve -3*u = 3, 2*u = 5*o + h*u - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2950 and 5074.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 244?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 7*c + 6. Let i(a) be the first derivative of -3 + 5\/3*a**3 + 2*a - 1\/4*a**4 - 2*a**2. Give i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 141?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5171 + -5171.4003. Let s = u - -0.0003. Let m be 5\/(270\/(-4))*6. Which is the second biggest value? (a) m (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a decade in months?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:27 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4189669489 and 2.8?\nAnswer: 2.3810330511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -196725*c**3 + 37*c**2 + 2 - 19*c**4 - c + 196726*c**3 - 5*c**4 in the form d*c**3 + o*c**4 + y + f*c**2 + s*c and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9816 is divided by 3116.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5+-2914\nAnswer: -2919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -219140561 plus -806.088?\nAnswer: -219141367.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 at least as big as 1337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66 and -4370.\nAnswer: -288420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15*q**2 - 32*q. Give h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 1\/2, 1\/5, 8\/9 in descending order.\nAnswer: 8\/9, 1\/2, 1\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 18 - (19 + -16)) + (-95 - -103).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 12*k - 17. Let m be a(7). Let i = 143 + m. Suppose 186 = 5*w + 51. What is the remainder when w is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39810 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1 - -6) + -1. Suppose -4*g = g - l. Let m(r) = -2*r. Determine m(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10129 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-14)\/12)*19\/(-19)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 34. Determine h(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6149744 divided by 12?\nAnswer: -1537436\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 395469 and 97?\nAnswer: 395469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:25 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/38010*1807\/(-2) - 12\/(-15) and -23\/27.\nAnswer: 4887","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186*b*z - b + 307*z wrt b.\nAnswer: -186*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5804 divided by -2933.\nAnswer: 5804\/2933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + (-4*(4 + sqrt(272)) - ((2*sqrt(272) - sqrt(272)) + 5))**2.\nAnswer: 840*sqrt(17) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221178, 221165, 221138, 221091, 221018?\nAnswer: 220913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212332021220 (base 4) to base 7.\nAnswer: -152556242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 - 1785*f**2 = 0. Calculate f.\nAnswer: 0, 1785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -605*d - 3620. What is w(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p**3 - 2*p**3 + 25*p**3 - p**3.\nAnswer: 57*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9160 is divided by 204?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, b: 6, r: 10}. Give prob of picking 2 h.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 646183 at least 646179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.55.\nAnswer: 0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*1*3\/6. Let g be ((-3)\/27)\/(4\/(-12)). Suppose -1\/3*r**3 - r - r**x - g = 0. Calculate r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -1.6. Let i = 0.2 + x. Let v = -9 - -8.5. Which is the nearest to 0? (a) i (b) 4\/7 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5192 + -5257 + (-1458)\/(-22).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 - 52 = -4*a, 5*z + 3*a = 45. Solve 0 = 2*u - 7*u - d - z, -4*d - 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225575325 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5 = -7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 + 0)) + (-2 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*8\/(-252))\/((-300)\/1350).\nAnswer: -2","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: Factor -x**3\/3 + 88802*x**2\/3 - 88799*x.\nAnswer: -x*(x - 88799)*(x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581 - 577 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/8 - 3)*0. Suppose 5*d + x*c = -c + 17, d + 2*c - 7 = 0. Solve -5 = -d*j + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -b + 137085, -485*b = -3*k - 482*b + 205605. Round k to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7948772*u**5 - 13570937*u wrt u.\nAnswer: -158975440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 400408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12101 - 11?\nAnswer: 12040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774 + 1559.736847?\nAnswer: 3333.736847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**2*y)**(-2\/19)\/(y**8\/(y**(2\/15)*y)) assuming y is positive.\nAnswer: y**(-2077\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 138887661 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4109, -16476, -37091, -65954, -103065?\nAnswer: -148424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 30734010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 19. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 111, -5, 76, 3, 4, 5 in decreasing order.\nAnswer: 111, 76, 5, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11932771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/10 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2*n - 744 - 1082, -n = -4*l - 1453. Let z = 364 + l. Solve 5*p - p + 8 = z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 5. Let s(p) = 11*p**2 - 2*p - 1. Let n be s(a). Let w be (2 - 0)\/(6\/n). Solve g + 5 - 2 = 4*h, -4*h = -w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(38)\/sqrt(2))*4*-4)**2 - ((-4*sqrt(114)*-1 - sqrt(114)) + sqrt(114))\/(-1*sqrt(864) + sqrt(6)).\nAnswer: 22532*sqrt(19)\/11 + 8960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 20*g - 68. Let x be z(16). Put 14, x, -150 in decreasing order.\nAnswer: 14, x, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 5*b - 6. Let a(c) be the first derivative of -c**3\/3 - 3*c**2\/2 + 4*c - 10. Give -8*a(d) - 5*i(d).\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-4275))\/(1\/(-3)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/6)\/(17\/(-51)). Suppose 5*b = 20, n*g + 2*b + 2 - 5 = 0. Let r be (-7)\/4 + g\/4. Which is smaller: r or 0.03?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.45021 hours in microseconds?\nAnswer: 239220756000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 18 = 10. Suppose -3 = -5*n + l. Solve 5*j = 3*s, -s = n*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -13 + 1 - (-3 + 8 - 4) - 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + -2. Let f be (15\/v)\/((-2)\/12). What is the highest common divisor of 10 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 9:30 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14003830 and 0.2.\nAnswer: -14003829.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -23410000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/14 + (-218670)\/42. Let r = -2752 - h. Suppose 0 = 3*x - 8*x + r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.600527 centuries to decades.\nAnswer: 86.00527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 128*a - 90. Is z(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(1 - 6)*-28 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 4*q**3 - 162516*q**2 + 3248720*q = 0.\nAnswer: 0, 20, 40609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 50*h**3 - 45*h**2.\nAnswer: -5*h**2*(h - 9)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 2 + (1 - 3) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3745866575 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**4\/4 - 7*r**3\/3 + 9*r**2 + 2. Let i be t(-9). Solve 4*k - 16 = -i*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -951411.5 rounded to the nearest 100?\nAnswer: -951400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70290312?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-65836)\/3052 + 1\/(7\/4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/9 - 1)*-12. Suppose 0 = -j + 4*t - 8, -3*j + 7 = -t - 2. Let i be 2\/j + v\/(-8). Solve i = 4*b - 4*p - 4, 0*b - 2*b + 4*p - 2 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2894064.04 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k + 62*k = 96*k + 324512. What are the prime factors of k?\nAnswer: 2, 10141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12677 and -1928.\nAnswer: -24441256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w. Let u be (-6)\/15 + (-4)\/(-10). Suppose -2*x - 12 = -3*z, 5*z + 5*x = 20 - u. Solve w = -g - g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*r + (4*r + 3*r - 5*r)*(3 + 18 - 4).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 34608*z**4 - 34644*z**4 + 0*z**2 + z**4 - 5*z**4 + 2*z**4 + (-5 + 3 + 1)*(2*z**4 - 3*z**4 + 0*z**4).\nAnswer: -37*z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 1578*b + 96 - 284 + 93 to the form i + a*b and give a.\nAnswer: 1578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 12 = 0, b - 2 = a - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 0.25 (b) 0.3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19334 is divided by 6331.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 20 = -3*j. Let v = 5 - 2. What is the derivative of 8 + 34*a**3 - 34*a**v - 5*a**j wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 43919.812?\nAnswer: 219599.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 309 - p**3 + 305 - 9*p**2 - 5*p. Determine k(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*n - 6, u + 2*u - 4*n + 8 = 0. Let f(d) = -d + 39. Is f(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 10. Sort -1, d, -4, 4 in descending order.\nAnswer: 4, -1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/7 - 9*q**4\/7 + 17*q**3\/7 + 69*q**2\/7 + 45*q\/7 = 0. Calculate q.\nAnswer: -5, -3\/2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Suppose -2*y - 392 = -3*n - 0*y, -n + h*y + 140 = 0. Calculate the highest common factor of n and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 40 = 0. Let p(a) = 2*a**2 + 5*a. Let n be p(4). Let t = n - 24. Calculate the remainder when t is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - h - 18. Suppose 0 = -3*p + 5*s + 7, 4*p - 2*p = -2*s - h. Let l(z) = z**3 + 1. Let v be l(-1). Put p, v, 4 in descending order.\nAnswer: 4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*x - 34*x - 1560 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685496026?\nAnswer: 2, 29, 607, 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41551 - -64073. Let b = d - 12522. Let h be (0 + b)\/(1\/60). Round h to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5185*k + 7141*k - 12341*k.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/11)\/(2\/(-44)*-4). Find the second derivative of -12*k**2 + 47*k**m - 7*k + 53*k + 104*k**2 wrt k.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66424515 divided by -1.\nAnswer: 66424515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 2. Let w be o(7). Let f = 0.01986 + 0.18014. Which is the nearest to 2? (a) f (b) w (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 8:31 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 90 + 9 = 0 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 7. Let l be v(-8). Let d = l - -31. Solve -4*p - d = 2*i, -4*i = 2 + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 + 20. Let q be ((8\/f)\/1)\/(4\/12). Which is the third biggest value? (a) 5 (b) 7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7250 + 7252. Let o = 1 + -1. What is the closest to 2\/5 in o, 3, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 3*o)*((-2*o**2 + 3*o**2 + 0*o**2)*(1 + 3 - 5) + 2*o**2 + 2 - 2 + o - o - 2*o**2).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209 and 114.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f + 0*f**2 - f**2 + 5*f + 2*f**2 - 7. What is the units digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 5 - 31 = 0. Find the third derivative of -o*t**2 + 6*t**2 + 9*t**5 - t**2 + 7*t**2 wrt t.\nAnswer: 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {g: 5, q: 7, i: 3, b: 1}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 738533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 11:59 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 3*j + 0*j in the form z*j + d and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 39454, 78882, 118268, 157618, 196938, 236234?\n\"Answer: u**3 - 27*u**2 + 39502*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101554108 to the power of 1\/3, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21622*r - 28 = 21618*r - 4*s, r = -2*s + 13 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 + 2*g**4 + 3*g**4 + (-g + g + 2*g**2)*(1 + 2*g**2 - 1) + g**4 - g**3 + g**3 to l*g**3 + v + t*g**2 + p*g**4 + f*g and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 966.1, -2, 5\/274, 0.1 in ascending order.\nAnswer: -2, 5\/274, 0.1, 966.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1171482 and 9867?\nAnswer: 12886302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/56)\/(-1 - 11\/(-12))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.18, -0.5, -5, 2\/45, -4, -1\/7, 3109?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79273014 is divided by 4733?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or 816148?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -1, -5 in increasing order.\nAnswer: -5, -1, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by 1?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 3*t**2 + 2*t - 3. Let d be p(2). Suppose -d*i = -6*i + 5. Solve -3*k - 2*k + i*w = 45, 0 = -4*k - 4*w + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 644752, 644757, 644762, 644767?\n\"Answer: 5*j + 644747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11050 divided by 221?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4143252.103 rounded to the nearest 100?\nAnswer: -4143300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -87*(-4 + 1 - -2). Suppose -7*s - t = -10*s. What is the remainder when s is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5512 + -6540?\nAnswer: -15352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1336438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18971671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 25. What is the second derivative of 0*s + p*s - 5*s**3 - s**3 + 3*s**3 wrt s?\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 3. Suppose 17*o = 22 + 29. Give p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1986794 by 7.\nAnswer: -1986794\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.022222 milliseconds to seconds.\nAnswer: 0.007022222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 21*x**2 + 52*x**2 - 1.\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122524 is divided by 132?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, x: 2, j: 1, k: 2, v: 1}. Give prob of sequence xkx.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 340, 1351, 3018, 5335, 8296, 11895, 16126, 20983?\n\"Answer: -a**3 + 334*a**2 + 16*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3307288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)*f*f**5*f)\/((f**(2\/7)\/f)\/(f\/(f*f**(1\/10)))) assuming f is positive.\nAnswer: f**(491\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**7)\/r*r*r\/(r*r**(-5\/3))*(r\/r**(-7))\/r**(-3))**45)**(-8\/15) assuming r is positive.\nAnswer: r**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 - 3. Let x(u) = 5*u**2 + 5. Let b(d) = -5*h(d) - 3*x(d). Let j(f) = -4*f. Give j(b(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 4*u**2 - 2*u**2)*(47*u - 99*u + 46*u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*m - 28*m + 16419. What are the prime factors of m?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1227 - -1733. Suppose -9*v + m = 2*v. Is v a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 13*c + 18. What is k(-9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661, 657, 653, 649?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 816312 divided by -4746?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*s = -49, -217 = -5*z + 2*s - 5*s. Factor -m**2 - 113*m + 31*m - 8 + z*m + 32*m.\nAnswer: -(m + 1)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.19, -21350, 0.5?\nAnswer: -21350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13474 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + (-1 - (-3)\/((-12)\/(-4))). Let l be (25\/20)\/((-3)\/12). Put j, 0, l in descending order.\nAnswer: j, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 39 + 7 = 0. Let a(i) = -i**2 - 8*i + 2. Let o be a(y). Let f(r) = -r**2 + 2*r**o + r**2. Let n(d) = d. Give n(f(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/99 - -2*2\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -500?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/216 and 19\/1953.\nAnswer: 46872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/20, 6\/19, 5, 34, -3 in increasing order.\nAnswer: -3, -3\/20, 6\/19, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -872 divided by -629.\nAnswer: 872\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13605039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:01 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4406.634 to zero dps.\nAnswer: 4407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 132, 307, 552, 867, 1252, 1707?\n\"Answer: 35*m**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 615 - 614.8. Which is greater: y or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -6332759 and -6332759 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10395 + -10316. Calculate the highest common divisor of g and 15721.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -262*x**3 + 1072*x + 416390?\nAnswer: -786*x**2 + 1072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 3\/5 (c) 1\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1278 (base 9) to base 13\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 5*n**2 + 6. Let p be g(-5). Suppose 5*t + 140 = 5*w, -39*t + 35*t = -8. Solve w = p*m - 0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**2 + 2144*r + 7436*r**4 - 2135*r + 2*r**2 - 4*r**2 + 158 wrt r?\nAnswer: 89232*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8187 + 10325. Which is the smallest value? (a) q (b) -3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*t - 171 + 172, -t - 1 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9461552.36 - 186821.\nAnswer: -9648373.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.04 less than or equal to 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21)*35\/110.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 4*k**2 - 2*k**3 + (2 + 2*k**3 - 2)*(-3 + 6 - 1) - k**3 - k**3 + k**3 + (-7 + 10*k + 7)*(3*k**2 - 2*k**2 - 2*k**2) + 6*k - 2*k**3 - 6*k.\nAnswer: -11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**10\/302400 - c**8\/40320 - c**5\/12 + 13*c**2. Let b(v) be the third derivative of r(v). Find d such that b(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/(4*-1*sqrt(9))*-4)\/((5*(sqrt(252) - (sqrt(252) + sqrt(252) + sqrt(252)*-1)) - sqrt(252))*-4).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4586958 - 30196*w - 4586958 to s*w + q and give s.\nAnswer: -30196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9264, 9176, 9098, 9036, 8996, 8984?\n\"Answer: m**3 - m**2 - 92*m + 9356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/4 - -1)*145106\/65 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.34348 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 1\/3526, 1\/8 in descending order.\nAnswer: 1\/8, 0.07, 1\/3526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/4*5 + -2. Let i = 4.01 - 4. Let o = i + 2.99. Which is the nearest to -1? (a) o (b) l (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2 = -4*j, f + 7 - 3 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 4*u**2 + 4*u + 1. Let b be 3\/(-4) + 3\/(-12). Let v = -2 - b. Let o be -5 + 1 + v\/(-1). Calculate y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112210 + 21?\nAnswer: 120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + 8*(-505)\/(-10). Suppose 3*c - 4*f = 2486, -5*f - r = 3*c - 2892. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**3 + 0*a**2 + 2 + 6*a - 1\/4*a**4. Let i(k) = 4*k**2. What is r(i(f))?\nAnswer: -48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3 - 7\/3*x + 1\/3*x**2 = 0. Calculate x.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0113 times 7?\nAnswer: 0.0791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.648242 to three decimal places.\nAnswer: -23.648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4965398328?\nAnswer: 2, 3, 11, 29, 648563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20905068361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76757471 or 76757473?\nAnswer: 76757471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 18. Let k(r) = -5*r**3 - r**2 - 2*r - 1. Let g be k(o). Suppose g*d = 4*d + 35. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = y - 11. Suppose -52 - y = -5*h. Suppose 9*f - h*f = -155. What are the prime factors of f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2215\/2 + 28\/56. Suppose -220 = -s + j, 0*s + p = 5*s - 3*j. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 3*i - 3*i)*(-5*i + 13*i + 6*i + (3 - i - 3)*(4 - 4 - 2) - i - 3 + 3) + (3*i - 3*i - i)*(-3*i**2 + 3*i**2 + i**2) - 11*i**3 - 15*i**3 + 9*i**3.\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*u, -41 - 175 = -v - 2*u. List the prime factors of v.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 1. Let p = 2 - -10. Suppose 0 = 5*y - 3*i - 28, y - p = 5*i - 2. Solve 2*u + 7 = -l*s, -s - 4*s - y*u - 15 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 5*b - 330. Give v(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 462.27 + -462. Let v = 2.4 + 0.6. What is the nearest to 1\/4 in n, v, -2, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:31 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 6*r - 2. Let m be i(6). Let y be 35\/(-45) - m\/(-9). What is the smallest value in -1\/4, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5607773 - 16*r**2 - 4*r**2 + 5607773.\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b - 4. Let p be (20\/(-8) - b)*-8. Is 495\/36 - (-1)\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5\/5 + 852*f**4\/5 - 3421*f**3\/5 + 2572*f**2\/5 + 684*f - 3424\/5 = 0?\nAnswer: -856, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 49717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*o**2 - 73*o + 22.\nAnswer: -(2*o + 11)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3007\/7 - -432. Find the common denominator of (-82)\/(-12) + 0 + -2 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -54. Let a(t) = t**3 + 27*t**2 + 27*t + 1. Is a(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2013390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/5, 48, -3 in decreasing order.\nAnswer: 48, 19\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(20\/25)*-1. Suppose 13*l = 14*l - 1. Suppose -2*r = -4*g + 10, 2*g + r - 12 = -l. Solve -b*t - g = 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -607735, -0.3, 2, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2367 and 152?\nAnswer: 359784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2600 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 4*r + 123. Suppose r = 3*i - 49. Suppose 2*t - 2*z = 2 + 28, -4*z = -t + i. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 + 247*b**2 - 1884*b + 156. Give j(40).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-176)*(-4)\/(-3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/10)\/(9\/21348). Let y = m - 515. List the prime factors of y.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/11 or 1\/92?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2. Let o(b) = -224*b + 966*b + 1150*b. Give i(o(f)).\nAnswer: -3579664*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**9\/756 - w**5\/60 - 2*w**3\/3 - 2. Let h(r) be the third derivative of d(r). What is the second derivative of h(a) wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 657\/(-12))\/(9\/24). Which is the smallest value? (a) -1 (b) 2\/3 (c) -3\/4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -27, -4, 8\/3, 2\/9, -0.11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118110 is divided by 1081.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 22*h - 64 + 64.\nAnswer: 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 2*t + t + 16570*t**3 - 16568*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426445 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - w + 5*w)*(-3 + 1 + 3)*(8037736*w - 1883 + 5296 - 8037734*w).\nAnswer: 4*w**2 + 6826*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from ueypyupueeyueye?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 4*c + 10. Let x be a(5). Let b = -42 - x. What is the greatest common divisor of 280 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, -0.5, -5, -2\/5 in descending order.\nAnswer: -0.29, -2\/5, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1898711 - 8800685\nAnswer: -6901974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (176\/(-14))\/(15 + (-856)\/56). What is the highest common factor of 209 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/3 + 41035*s**2\/3 - 105257338*s\/3 + 26306641.\nAnswer: -(s - 5129)**2*(4*s - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2755\/21844 - 5\/508. Suppose 0 = -2*i - 0*i. Do i and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvpd when four letters picked without replacement from wpwpwwvda?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 10*n + 2 - 11 - n**2 + 3. Let u be j(-6). Suppose u = p - 9 - 3. Calculate the highest common divisor of 36 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y + y)*(-30*y**4 + y**3 + y**3 - 7*y**4).\nAnswer: -222*y**5 + 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 48 = -2*n, 212 = 3*n + 5*y + 264 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 6. Let z be k(5). Let j = z + -2. Which is smaller: -4 or j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 990288 and 832.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1) + 4 + 0. Suppose -r*m = -m - 284. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 + 3) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76454 + -2907. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*y - 4444, 7*x + 11110 = 2*x + 2*y. Let n be 3\/2*x\/(-33). Suppose 3*t - j = 109, 3*t - t - n = -5*j. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -2*n, -21 = -5*d + 6*n - 9*n. Suppose 4*s + 4*o + 32 = 0, -s - 2*o = o + 18. Sort s, -4, 0, d.\nAnswer: -4, s, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 18 + 3, -b = -3*a - 265. Round b to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by -3 + -1 + 9 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*u + 2*u - 2, 4*u = 20. Let r be 1*-30*((-55)\/(-15) + y). Calculate the greatest common factor of r and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uubb when four letters picked without replacement from {g: 1, j: 3, b: 5, u: 6, f: 2}?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5986.262 to the nearest integer.\nAnswer: -5986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**5\/20 - w**4\/6 + w**3\/6 - 3*w + 1. Let k(s) be the first derivative of g(s). Factor k(b).\nAnswer: b*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 5*l**2 + 6*l - 1. Let t be p(-6). Let j be (24\/(-6))\/(1 - t). Let c be 10*(3\/(-2) - j). Solve -2*y - y + 11 = c*u, y + 2*u - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:49 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.422 - -4920242?\nAnswer: 4920242.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d + 1. Let i(y) = 7*y + 15. Let l be i(-5). Let v be ((-2)\/(-4))\/(10\/l). Give w(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/6 - 12*g**2 - 4*g. Let k(j) = -7*j**2. Give p(k(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56277395 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 876607 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 2*w = 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 109*w + 512 + 1341 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35, 0.2, 11, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 24 = -2*q, -3*l + 12 = -6*l. List the prime factors of ((-118)\/8 + q)\/(4\/(-48)).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (5 - 6) - -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-3 + 4)*(-77)\/14. Let n(b) = 765*b + 91. Is n(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = c - 0*o, -28 = -3*c - 5*o. Suppose 0 = 4*a + 4*l - 0*l - 24, 4*a = -3*l + 27. Let n = 33 - a. What is the highest common factor of c and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**4 - 29856*y**3 - y**2 - 1318978*y?\nAnswer: 48*y**2 - 179136*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j + 10. Let d be w(1). Suppose d*k - 149 = 17*g - 12*g, -g - 98 = -3*k. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -8. Is 8 a factor of h + 1*-1 + (-26 - -144)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -105*k**3 + k**2 - 9*k - 10. Is z(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*b**5 + 2562*b**4 - 10443*b**3 - 102192*b**2 - 83520*b + 193536 = 0. Calculate b.\nAnswer: -48, -3, -56\/19, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 7*d + 146 = 0. What is the smallest common multiple of 9 and d?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2114053681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5085, 0.3, 5, 12, -0.08, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -33*t**2. Let o(a) be the third derivative of -a**4\/8 + 133*a**3\/6 + a**2 + a - 1527. What is h(o(b))?\nAnswer: -297*b**2 + 26334*b - 583737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*k + 4*u = 37*k + 18, -3*k - 41 = -5*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 + 2*v - 4. Let k(m) = -m**2. Let i(t) = -6*k(t) - z(t). Suppose u = 4*u - 9. What is i(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 + 4 + -3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723583036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84514181351\/327106580580 + 77\/8543988. Let u = o + 59\/806. Find the common denominator of u and 113\/12.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-132))\/((-29)\/(-348)*16)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -4*b + 49*a - 44*a, -b + 45 = 2*a. Suppose -13*t - 67 + 275 = 0. Calculate the remainder when b is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -17b?\nAnswer: -17b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(110)\/sqrt(539))\/sqrt(2))**2.\nAnswer: 25\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-16) + (2 - (-117)\/12). Let w = 335 + i. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 2132632?\nAnswer: -2132633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57100*h**5 + 604*h**2 + 2*h + 675?\nAnswer: 3426000*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -320 - -0.4\nAnswer: -319.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxwlxtvxwnttwx. What is prob of sequence lv?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + (-9 - (2 + -5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 761*g - 365*g - 1584. Sort 5, 58, 1, g.\nAnswer: 1, g, 5, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x - 3*x - 46*x**3 + 3*x + 45*x**3 - 5*x. Let o(b) = 5*b**3 - 25*b. Determine 25*d(a) + 4*o(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-23)\/4)\/(1780\/(-320)). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*s + 2784. Suppose -4*x = -a - 0*x + 135, 5*a = -x + s. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 7*f - 8. Let y be (-3 - -2)*(5 - 3). Suppose 33*i - 9*i - 24 = 0. Sort f, 3, y, i.\nAnswer: f, y, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129590633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-6 - -6)) + -4 + -2 + -39.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -7)\/((9\/(-654))\/(-1)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3048)\/(-510) - 334\/1670.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*m**2*p**2 - 9*i*m**2*p - 23*i*p**3 - 31*i - 2*m**2*p + m*p**3 wrt p.\nAnswer: 4*i*m**2 - 138*i*p + 6*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzivvwxiiwixuuu. What is prob of sequence xiwi?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(612) + 4*sqrt(153))**2 + (-2*sqrt(153) - sqrt(153))\/sqrt(9)*4 + -2.\nAnswer: -12*sqrt(17) + 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*n + 13, -c + 2 = n - 1. Let f be 428661\/(-72) - c\/2. Let k = f + 5948. What is the common denominator of k and -53\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8 + 4, 0 = 4*l + 5*k - 3270. Suppose -91*t = -86*t - l. What are the prime factors of t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07, 0.3, -4, -5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1843? (a) 3 (b) 4 (c) -4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1*sqrt(176))*1*-2)**2.\nAnswer: -96*sqrt(11) + 740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Let a(o) = o - 1. Let t(b) = 4*a(b) + 3*d(b). Suppose 4*y + 8*n - 5*n = -23, 5*y = -2*n - 34. Determine t(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2226 and 54?\nAnswer: 20034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24.19 - -25.579. Let x = q + -1.2. Let z = 0.19009 - x. What is z rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 3*h - 9, -4*u + h - 13 = 2*h. Let o = 2 + u. Let f = 3 + o. Calculate the remainder when f is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20697938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 94 = -4*z, 2*z - 48*a - 40 = -44*a. Solve 4*s + 4*o - z = 0, s - 10 + 9 = 4*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.3 (c) -1\/5 (d) 1 (e) 11.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1901717.\nAnswer: 1901717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 1)\/((-4)\/4). Let i be ((2 - 1) + -2)\/(o\/12). Let q(l) = -3*l + 1. Determine q(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 + 9 = -5*f. Suppose -13*l + f = l. Suppose l*c + 1966652 = 361652. What is c rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 1167*i - 1167*i + 1 - i**2 as g*i**2 + s + a*i**3 + v*i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 326 and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -862\/11 - -6071\/88. Let q be ((-35)\/168)\/(2\/(-71356)). Let b = q + -7427. Calculate the common denominator of c and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*n + 1 + 37 - 1 = 0, 58*a + 177*n - 260 = 172*n for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 3. Let i be v(2). Let q = 2 - i. Suppose -5*k - 3*h - 10 = 0, -3*k - 2*k + h - 10 = 0. Sort k, q, -4 in decreasing order.\nAnswer: q, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t + 3*t - 3*t)*(-27*t - 9*t - 41*t) as j + b*t**2 + x*t and give b.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 + 6*l + 6. Let j = -8 + 14. Let b be i(j). Suppose -b*g + 2*g = 3*w - 95, 99 = 3*w + 3*g. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2704824501 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -200002022?\nAnswer: -200002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97765*p**2 + 73257*p**2 - 3611*p**2.\nAnswer: 167411*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11*o = -21. Solve 4*n - 3*d - 3 = -2, -n + o*d = 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*x + 18, 4*x + 167 = 2*j + 139. Let v be -2*(2\/(-4) - 2). Calculate the remainder when (-6 - v)\/(-1 + 0) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16643 + 16598 - (-138 + 0).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1 + 5 + 3 + (-3 - 0))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -233 + 233. Suppose 17*n + n - 36 = s. Suppose -3*a + 9 = -24. What is the least common multiple of a and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:02 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Let h be (0 + b)\/(12\/(-30)). Calculate the highest common factor of 45 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 57, -50, -1, 8, -5 in decreasing order.\nAnswer: 57, 8, -1, -5, -7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24\/72 - (-5)\/3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 13, 0.2, -51\/4?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38.27412ml?\nAnswer: 0.03827412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4263*4.1\nAnswer: -17478.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1539 + -10.1461. Round w to zero decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -3\/4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/19 in 4, -0.3, -1, -0.08, -3, -324?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16396.\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1393871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 16*w**5 - 600*w**4 + 1433*w**3 - 1165*w**2 + 351*w - 35 = 0?\nAnswer: 1\/4, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 15 = -0*p. Let d = -11 - p. What is the second derivative of 0*s**4 + 3*s**4 + 0*s - s - 2*s**d wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 12*s = -n - 3, 0 = -n + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 50. Suppose -3*m = 14 - 71. Calculate the remainder when (0 + -9)\/((-2)\/r) is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -51 - (1 + (1 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 0*v + 70 = 0. Suppose 0 = -h - v*h + 162. Suppose -5*d + 4*w + h = 6*w, 2*w - 6 = -2*d. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2695*i - 2469. Determine p(1).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 145*z**2 + 531*z**2 + 3*z.\nAnswer: 386*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*l - 34, 3*l - 33 + 4 = v. Suppose 2*o + u = 3*o - 8, -4*u + l = 2*o. Differentiate -2*n**4 - 9 + o*n**4 + 3*n**4 with respect to n.\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 7*a - 26. What is u(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 2, p: 4, i: 3}. Give prob of picking 1 i and 2 p.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 236177297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:39 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2981 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 0.4. Let p = -0.0798 + -0.1202. Which is the nearest to -1\/2? (a) -1\/4 (b) p (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 76*c**2 + 1807*c + 47. Determine z(19).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 3. Suppose -4*q - q + 5 = 0. Let s(i) = 2*i + 1. Let n be s(q). Suppose 2*k - 3 = n. Give z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2742779 is divided by 3353?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27 - 1 - (1 - 7). What is the first derivative of 43*l**2 + 47*l + 2 + 2 - n - 44*l**2 wrt l?\nAnswer: -2*l + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 8:24 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*g + 3, 0 = n + 2*g - 5*g - 6. Let q(f) = -f - 38. Let b be q(-30). Sort n, -2, b in increasing order.\nAnswer: b, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246131 (base 9) to base 13\nAnswer: 52981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -29. What is the closest to i in 6, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 818979957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 142.2 + -143. Let y = 368\/247 - 18\/13. What is the nearest to g in y, 0.3, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(-78)\/(-260)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -89568*s**2 + 26*s + 34. Suppose -12*r + 7*r = 105. Let q be i(r). Round q to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Suppose -5*x - 20 = 0, 2*v - 2*x = m*x + 28. Let g be -3 + 4 + 1 + 1. Solve 4*p - g*p = -v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5977.45229 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 = u, 3*u = -u + 4. Let y(g) = -k*g + 0*g + 2*g**2 - 7*g**2 + 8. Let d(x) = 2*x - x**2 + 0*x + 3*x**2 - 3. What is 11*d(s) + 4*y(s)?\nAnswer: 2*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oooooovovvvvvooovvvo.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*s + 2*s. Suppose 5*q - s = 66. Let w = q + 29. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 270 - 141. Let t = r - 89. Calculate the remainder when t is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:41 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a = 39 + 10 - 88 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 3*n - 3*n)*(2 - n - 2) + 0*n - 759*n**3 - 17*n + 785*n**3.\nAnswer: 27*n**3 - 17*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595, 1761, 3705, 6427, 9927, 14205, 19261?\nAnswer: 25095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/(-8) - (56\/(-32))\/(-7). Put -79, 5, y in descending order.\nAnswer: 5, y, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 = -4*k, -4*m - 16 = -4*k - 0*m. Suppose z - 6 = -k*z. Find the third derivative of -3*c**2 + 8*c**6 + 5*c**z - 6*c**2 wrt c.\nAnswer: 960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -14. Let i = v - 2. Let w = -8 - -21. Calculate the greatest common divisor of i and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1177*y**2 - 68*y - 127. What is the ten thousands digit of o(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 4*c - 3. Suppose 0 - 10 = 5*b. Give x(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 5. Let z be g(-6). Suppose 3*l + 16 = 5*t, -l + z = t + 3. Let f = 6 - l. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g - 8 = -15*g, 3*k - 3*g = -6. Suppose -5*n + 2*v + 181 + 13 = 0, -2*n - 5*v + 95 = k. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213313 (base 4) to base 8.\nAnswer: -4767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 24 + -15 - (0 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -344919211 times -0.2?\nAnswer: 68983842.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from {g: 2, n: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 13*k**2 + 16*k - 27. Let x be u(12). Let b = -6 + 11. Solve b*h = 4 + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - 45 = -4*j, 5*j - z = 55. Let o(n) = n**2 + 3*n - 5. Let r be o(-7). Calculate the remainder when (-1 + r - 2) + -2 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 2}. What is prob of sequence cc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10767048 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 - 35*i + 29. Let w be q(7). What is the first derivative of 815 - 525 - 290*v + w*v wrt v?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 f when four letters picked without replacement from jjcjfjfjfjjgfcjjhjj?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1074.3475 rounded to the nearest ten?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332627 (base 8) in base 4?\nAnswer: 123112113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 2*u**2 - u**2 + (3*u - 3*u + u)*(u + 0 + 0) - 3423*u + 3423*u + 133*u**2 to the form n + f*u + y*u**2 and give y.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 3*m**2. Let l be d(3). Suppose 5*i = -3*w + 1050, 4*w + 659 = -l*i + 3*i. What are the prime factors of i?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13)*c*c\/c**(-2)*c*c**(-1\/3)*c**5)\/(c**(-4\/9)\/(c*c**5*c*c*c))**(26\/9) assuming c is positive.\nAnswer: c**(38747\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 314214 divided by 3\nAnswer: 104738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 + 329*h - 19. Give f(-47).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 1. Let b(m) = 109*m + 5. Determine -b(k) - 4*q(k).\nAnswer: -113*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g + 165*g - 100*g + 164*g + 140*g. Let r(j) = -2*j**2. What is r(c(t))?\nAnswer: -259200*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*i - 25800008 = 0, 2*i = 4*w + 5*i + 34400006. What is w rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816, -2070, -4162, -7092, -10860, -15466?\nAnswer: -20910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 4*q**5 + 4*q**5 + (-2 + 5 - 1)*(3*q**2 - 3*q**2 - 2*q**5) + (3*q - 7*q + 3*q)*(0*q**4 + 4*q**4 - q**4).\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137\/59 or 1?\nAnswer: 137\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12564 - 7839. What is the hundreds digit of ((-14)\/5)\/((-45)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1372124, -3\/2, -0.3 in ascending order.\nAnswer: -1372124, -3\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -125, -265, -393, -503, -589, -645, -665, -643?\n\"Answer: h**3 - 147*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = c - 124, 3*c + 3*c = -163*w + 161*w - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 41 = -q. What is the biggest value in 179, 0.5, -0.1, q?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(684) - sqrt(684)*1)*6 + sqrt(152)\/(-2*sqrt(968))*-1)**2.\nAnswer: 19\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 1033. Give t(-37).\nAnswer: -996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 222, 248, 290, 342, 398, 452?\n\"Answer: -r**3 + 14*r**2 - 9*r + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109626741?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -130.6 + 134.6. What is the closest to -0.1 in -0.01, -3, 2, h?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -476*w + 35459. Determine j(74).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-30)\/(-668))*(-15)\/(-10). Let b = 279 - g. What is b rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-5\/2)*q)\/q*q**(-3)*q*q**(-3)*q**(-1\/3))\/(q**0*q**(2\/7)\/q*((q\/(q*q**(-2)))\/q)**(-3\/20)) assuming q is positive.\nAnswer: q**(13\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 2, c: 3}. What is prob of picking 3 p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(16)*-2)\/(sqrt(24)\/sqrt(3)*6).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 655526 (base 7) in base 10?\nAnswer: 114827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5660 (base 14) to base 11\nAnswer: 10289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 7*w + 21. Determine s(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2335 + 2335.010378. What is v rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/12 and 41\/110?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8 - 14\/(-24))\/((-443)\/6645). Sort 13, x, 48 in descending order.\nAnswer: 48, 13, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27993353 divided by 1?\nAnswer: 27993353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 3471429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.179 - 0.164. Let w = -0.595 + t. Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - (-4 - (-24 + 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -444, 18 in decreasing order.\nAnswer: 18, 2, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = 0. Suppose -v - 2*v + 255 = f. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 + 2*s**2 + 0*s**2 + (s - 3*s + 0*s)*(-4*s + 1 - 1) + 2*s**2 + 4*s**2 - 4*s**2.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:34 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 11 (c) -0.38 (d) -0.019 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 12 = -2*b, -60 = -4*y - 5*b. Let a be (-896)\/y*(-11 - -6). Is a\/3 - 3\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 18 = 0. Suppose 2*h - 5*h = -f. Let s = 399088 + -399041. What is the smallest common multiple of h and s?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 - 4*b**2 + 6*b + 4. Suppose q - 15 + 17 = 0. Let y be (-1 - 4)\/(2\/q). Let k(j) = -4*j**3 - 5*j**2 + 7*j + 5. Give y*g(u) - 4*k(u).\nAnswer: u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-3\/4)*d*d*d*(d\/d**(6\/7))\/d*d**(-1\/3)\/((d*d\/(d\/d**(3\/11)))\/d*d))**(-1\/28))**(-6) assuming d is positive.\nAnswer: d**(1651\/4312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125060 is divided by 5268?\nAnswer: 3896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 12*s + 12910 = 4628, -3*s = 4*z - 16483. Does 115 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.07, 3\/7, 0.7, 13, 2\/5, -8?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214042*t**2 + 18976469*t**2 + 893720*t**2 + 7451848*t**2.\nAnswer: 27107995*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-675)\/(-35) - 6\/21. Let f = -15 + w. Find the second derivative of -f*m**5 - 19*m + 23*m + 13*m**5 wrt m.\nAnswer: 180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13493371\/21158660 + 1\/79844. Let j = l - 2\/53. Which is the second smallest value? (a) 4 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + m**3)*(-1 + m**2 + 1) + (2*m**4 - 4*m**4 + 3*m**4 + (m**2 + 0*m**2 + m**2)*(-9*m**2 + 112*m - 112*m))*(-2 + 2*m + 2).\nAnswer: -33*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000101647225 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 27*d - 72. Let s be k(-24). Let m be 40 - (s + 2 - -5). Solve -7*z - m = -12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0 + b**2 - 3\/10*b**5 + 0*b**4 + 0*b**3 - 2*b. What is the first derivative of n(r) wrt r?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 + -8 - -3)*(-5 - (-22)\/2)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -294.99999757 + 295. What is d rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11733 and 152937?\nAnswer: 598136607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/2290085 and -9\/1652410.\nAnswer: 682445330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - m + 39 - 32, -3*i - 12 = -3*m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2718390188756 from 0.03.\nAnswer: 2718390188756.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/167780660 and -139\/140.\nAnswer: 1174464620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3537)\/1179*(-2)\/(-66)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**3*t**5 - 2*s**3*t**3 - 60*s**3 - 6*s**2*t wrt t.\nAnswer: 60*s**3*t**3 - 12*s**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i + 20*i + 18 = 0. Which is the second biggest value? (a) 138 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -1. Let x = t - 2. Let q be x\/(-14) - 16\/105. What is the nearest to 0.1 in q, 2, 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -24. Let a = -35 + y. What are the prime factors of 3\/(-5) + (-13)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -54 (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -2*i**5\/5 + i**3\/6 - 2*i**2. Let z(m) = -163*m**2 - 179*m**2 + 343*m**2. What is o(z(n))?\nAnswer: -24*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)\/sqrt(3))\/sqrt(4).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 9*f + 9. Let h be (-160)\/(-100) - 222\/(-30). Determine p(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + y + 20 = 1, 2*s = -4*y - 38. Let q = 21 - s. What is the remainder when q is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50519, 101105, 151691?\n\"Answer: 50586*j - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Let v = -5 - -7. Let m be v\/6 + 52\/(-84). Is n at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21520 + -21518. Let y = 1\/169 + -345\/1183. Which is the closest to v? (a) -0.2 (b) y (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-54)\/(-99))\/(4872\/19140)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61 - -86. Let h = -43 + n. Is 1\/3 + (-1704)\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1003)\/68*(-5 + 1) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.76 - -2.76. Let j = 0.9 - 1. What is the closest to k in j, -0.3, -2\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 12:22 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2*y**2 + 0*y**2 - 1 + (22369*y - 6356*y - 7450*y - 6439*y)*(-5 + 2*y + 5) as n*y + f + p*y**2 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 4*d**2 + 4*d - 3. Let c be (7 + -14)\/((-2)\/4). Suppose 3*b - 13 = 2*k, 0 = 5*k + 5*b + 6 + c. What is h(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4109 and 9765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5578043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 9. Differentiate 9 - 4*z**3 + 3 - 5 + 6*z**f wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 4*l**2 - 16*l - 20. Let g be s(-6). Let k be 14 - g\/(-12)*-6. Let x be 8*(-5 - (-66)\/k). Solve p - x + 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-2)*(-1)\/1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.174 and -4.\nAnswer: 88.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121, -577, -1813, -4219, -8185, -14101?\n\"Answer: -65*t**3 - t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10 and 179\/20340?\nAnswer: 20340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 12*f + 1. Let j be s(12). Let i = -5 + j. Let a be 2\/i*-10 + 3. Calculate the highest common factor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552553, -552546, -552535, -552520, -552501, -552478, -552451?\nAnswer: -552420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*a - 6 - 2, -47 = -3*a + g. Suppose 0 = -27*n + a*n + 8086. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkex when four letters picked without replacement from {k: 5, e: 1, x: 4, g: 1}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - g**2 - 7*g - 7. Let y(s) = s**3 + 2*s + 2. Let r(d) = 4*q(d) + 14*y(d). Find the third derivative of r(p) wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18 + 595*203\/17748)*(-40)\/(-6)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.253 - 0.153. Which is the nearest to -2? (a) 3 (b) -4\/9 (c) -5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32682*s**6*x + 171*s**2 + 4*s*x wrt s.\nAnswer: 3921840*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose 3 - 9 = -t*b. Suppose -s = l - 115, 4*s + 230 = b*l - 0*s. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80)*2*4 + sqrt(80))) + sqrt(80) + sqrt(80) + -3*2*sqrt(80) + sqrt(80))\/(sqrt(90)\/(sqrt(36)*6)).\nAnswer: -264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 3 = k. Suppose 0 = -2*f + o + 15, -3*f - 24 = -k*f + 4*o. Solve -x = -f*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 10*o**2 - 10*o + 3. Let t be (-2 - -5)*8\/3. Is c(t) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*(sqrt(832) + 1 + sqrt(832))**2*-1 - -6*-2*(sqrt(78)\/(-2*sqrt(6))*-3)**2.\nAnswer: 96*sqrt(13) + 9636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + 6*y**4 - y**4 + (3 - 3 + 3*y)*(-19*y + 7*y**3 + 19*y) - y**4 - 11 - 25 - 71 in the form x*y**2 + m*y**3 + g*y + w + z*y**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -17 + 5*k - k - 2*k - k. Let l be b(9). Calculate the remainder when 36 is divided by 11 - 8 - l*2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(8\/5)*u**40 assuming u is positive.\nAnswer: u**(208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3910 and 16?\nAnswer: 31280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83410?\nAnswer: 2, 5, 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = 0, -3*u + 2*t - 2 = -0*t. Suppose u*c + c - 3 = 0. Suppose -4*b + 161 = c*d, -130 = -4*d + 3*b + 93. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4*x + 14*x - 9*x - 9*x. Let t(j) be the first derivative of -j**5\/60 + j**2\/2 + 1. Let i(r) be the second derivative of t(r). Calculate i(h(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 3*m + 2. Let a be f(-2). Suppose -a*r + 103 = 27. Suppose -6 - r = -5*d. Solve y - d = -0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*i - 20 = -g, -3*g = 2*i - 47. Solve -g*l + 4*l = -88 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-52 + 23 - -27)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -155\/49, 1\/3, -15.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/69 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14846738?\nAnswer: 2, 7423369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 + 45686*s - 457361. What is w(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1377) - sqrt(17))**2 - (sqrt(17) + (sqrt(425)*-4 - sqrt(425))**2)) + 0 + -3 + sqrt(153) + -5.\nAnswer: -9529 - 62*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6281 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 49 - 31. Solve 6 = -t*k + 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17)*-4 + 3)**2.\nAnswer: 24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -211863165+82\nAnswer: -211863083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 602 + -601.9478. Let s = -0.0184 - v. What is s rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 9) in base 6?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = 4*p - 2, -5*p - 9 = -2*n. Suppose -45 = 4106*d - 4121*d. Put 5, -4, p, d in descending order.\nAnswer: 5, d, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3915272 and 5168.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 7. Suppose -w = 1 + 5. Let z be (4\/w)\/((-2)\/15). Let u be y(z). Solve u*l - 7 = 2*g - 19, -3*g + 14 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46544112 divided by 46544112.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6576071?\nAnswer: 19, 283, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/6464 and 23\/128640.\nAnswer: 12992640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.576609 days in weeks?\nAnswer: 8.368087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 10*w + 119 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1088 - 368. Suppose 0 = r - 0 + 3, 0 = -3*j - 2*r + b. What is the greatest common divisor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1097 + 1096.6. Let z be (-5)\/2 - (0 - 0). Which is the nearest to 1? (a) 0 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + 4 + -7 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 730 divided by 365.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + 17*l + 54. Let b be j(9). Let r(f) = 9*f**2 - 3*f - 5. Let q be r(-4). Let y = b + q. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6 and 89\/278.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1779*q - 38. Let n(b) = 254*b - 5. Give -30*n(p) + 4*t(p).\nAnswer: -504*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -1887471?\nAnswer: 12\/209719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90693 is divided by 485.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.742297 - -2.11.\nAnswer: -50.632297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 76, 141, 236, 367?\n\"Answer: p**3 + 6*p**2 + 16*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3719633545 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(4 - -3)*(-3 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b. Let u(v) = -1165075 - 12*v**2 + 16*v + 1165075. Give u(o(g)).\nAnswer: -48*g**2 - 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1*g**7)**(2\/3)*(g*g\/g**(-1\/3))\/g**(-3)*g**1*g**(-2\/9) assuming g is positive.\nAnswer: g**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 85*t**2 - 1047*t + 22. Let j be i(-10). Let f = -12 - -17. Let h = -2.2 + 0.2. Which is the second biggest value? (a) f (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 1, z: 3, c: 1, k: 1}. What is prob of picking 1 k and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/4*3*(-276)\/(-18). Let z = t + 173. Solve 4*n - d + 7 = -16, d + z = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 10\/(-13))\/((-9)\/6). Sort -0.2, v, 36 in descending order.\nAnswer: 36, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/((-138)\/(-36)) - -96. Suppose 3*u = -5*l + 1170, l + 3*u = -d + 336. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 11 - 11 + (143 + 6*d - 143)*(-4 + 1 + 2))*(1 + 1 + 1) in the form b + m*d and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06192981082 rounded to 3 decimal places?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021873 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 413?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:54 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 1. Let h(p) = -6*p**4 + p**2 - 4. Let q(b) = -h(b) - l(b). Differentiate q(o) wrt o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -109 greater than or equal to -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 3*b**2 + b + 7. Let m(p) = 4 - 62*p**2 - 2*p**3 + p + 82*p**2 - 18*p**2. What is 3*f(v) - 5*m(v)?\nAnswer: v**3 - v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -926 (base 16) to base 2.\nAnswer: -100100100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 148 + 52. Suppose x = 7*h + 158. Calculate the least common multiple of (-110)\/(-6) + (-2)\/6 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 77.317 and 0.1.\nAnswer: 7.7317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-52)\/26)\/(2\/12 - 0). Let y(j) = -2*j - 14. Let k be y(g). Calculate the greatest common factor of k and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = -5*c, 0 = -3*g - c + 111. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z + 4. Let g(m) = 84*m + 3 - 178*m + 101*m. Calculate 5*a(s) - 6*g(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100000000010 - -101?\nAnswer: 1001100000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7544060702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -13.3, 1\/5, 0.46, 8.2 in decreasing order.\nAnswer: 8.2, 0.46, 1\/5, -13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148.9 + 138. Let w = f + 10.13. Let j = 0.7700053 + w. What is j rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - (-5 - (-3 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0*n**2 + 0*n**3 + 0 + 0*n**4 + 5*n - 1\/10*n**5. Determine i, given that a(i) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -946 - -970. What is the second biggest value in -8, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150 by 609.\nAnswer: -50\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2950.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b - 94 = -5*z, -4*z + 62 = -2*b. What is the highest common divisor of 34 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2. Let u be y(2). Let z = 7 + u. Suppose 3 - z = 3*q, -4*h = 4*q - 116. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.8 + -24. Let t be 30\/(-4) - 3\/(-2). Let f = t - -10. Which is the closest to n? (a) -0.2 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 12 = -2*c, -1 = -t - 4. Let m be (-1 + 1)*(1 - c). Solve m = -y - 0 + 2, -3*n = -3*y - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 6*z**2 + z - 22. Let u be w(-5). Let d(q) = -32*q**3 + 2*q**2 - 2*q - 1. What is the units digit of d(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -4*d - 9, 4*d - 12 + 9 = -3*h. What is the greatest common factor of d and 1695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-466)\/288 - 47\/(26226\/(-868)) - 2846\/32.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131923618.\nAnswer: 2, 65961809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17943401 divided by 2563343.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -42*r - 434. Let t be o(-10). Let h(l) = -20*l**2 - 18*l - 20. Let b(d) = 7*d**2 + 6*d + 7. Give t*b(f) - 5*h(f).\nAnswer: 2*f**2 + 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/40*8\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 3, -302 in increasing order.\nAnswer: -302, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2297, 1978, 1107, -592, -3395, -7578, -13417?\nAnswer: -21188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 smaller than -20346.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 9 + 25. Let n be (44 - 48)*5\/c*2. Solve 2*l = n - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(56)\/sqrt(112)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**3 - 3*b**2 + 4*b - 4. Let c(w) = 15*w**3 + 6*w**2 - 7*w + 7. Let o(a) = 4*c(a) + 7*r(a). What is the third derivative of o(j) wrt j?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-183)\/(-12)*(3 - -1). Let h = c + -33. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/17 (b) 0.1 (c) 0.3 (d) -54 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18679423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 26 - 4 = 0. Suppose 3*t + 3305 = q, -q - t = -z*q + 6600. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -104 - 5?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 82681832.\nAnswer: 413409160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 - 590*a + 3360.\nAnswer: 5*(a - 112)*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 324*q**3 - 11 + 6*q**2 - 8*q - 6*q**2 + 8*q wrt q?\nAnswer: 972*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62925787?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 + -2. Let h = f + 0.41. Let v be ((-6)\/(-10))\/(8 + 272\/(-40)). Which is the closest to -1? (a) h (b) -1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**2 + 8*v - 13. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -2856*k**2 + 9730. Let b(x) = -2*x. Determine l(b(j)).\nAnswer: 11424*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41919813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1989 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 15676796 is divided by 1136?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60175, 241642, 544087, 967510, 1511911, 2177290?\n\"Answer: 60489*h**2 - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 528433 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 529 - 330. Suppose 111 = 3*b - 0*b - t, 5*b + 3*t - i = 0. What is the derivative of b + 7*p - 33 - 3*p wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 42*x**3 - 601*x**2 + 61*x + 129. Give l(14).\nAnswer: -1565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.7026269 and 104471?\nAnswer: 104464.2973731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - y + 4607 = 0, n = -4*y + 862 + 301. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 13*o + 1060 = -d, 3*o - 636 = -3*d. Calculate the greatest common divisor of o and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 2*f + 3*f)*((3 + 2 - 7)*(2 - 2 + 2) + (-2 - 1 + 1)*(-1 - 1 + 4)) as y*f + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + -1312433430?\nAnswer: -1312433412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9431109 - -18357709. What is t rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 413070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 - 10*g**4 - 2*g**3 + 10*g**2 = 0.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -50. Let h(o) = -o**2 + 36*o + 119. What is the remainder when h(31) is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -61*d + 53. Let j(m) = 300*m - 293. Let v(g) = 11*f(g) + 2*j(g). Let k(a) = 7030*a + 296. Calculate 3*k(s) + 296*v(s).\nAnswer: 74*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -953.\nAnswer: 14\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + o + 8, 4*t - 13 = 7*o - 8*o for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 185482134 and -26.\nAnswer: 185482108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 176 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1800 - -1803. Let l = -0.01 + 5.01. Put m, -1, l, 1.7 in descending order.\nAnswer: l, m, 1.7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 16 = -x, 3*s - x = -7 - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.2 + 67.2. Which is the closest to -0.2? (a) -0.5 (b) -5 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*t**2 + 4 - 54\/13*t = 0. Calculate t.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 y when three letters picked without replacement from baaabiya?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-4) - 1)\/(5\/(-40)). Let o(w) = 1 - 78*w + 79*w - z. Determine o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2173 - 1964. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 814424.1ml?\nAnswer: 814.4241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 10. Let c be (-1 + 2)\/(3 + -2 - 2). Let t(q) = q**2 + q + 1. Let b(x) = -x**3 + 9*x**2 + 8*x - 1. Let j(m) = c*b(m) + 4*t(m). What is j(f)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 1e9?\nAnswer: 1e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 479 = -11*k. Let a be (30\/40)\/(1 + k\/(-20)). Let u = 47\/5 + -9. What is the closest to 2 in a, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460909053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 73*n + 1146. Determine f(50).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 9*k**2 + 8*k + 2. Let f be a(-8). Solve 5 = -5*r, 4*u - f*r - 11 = -3*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2255 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-8))\/(4*4\/(-128)). Let b(g) = 4*g + 26. Let n be b(x). Suppose -q + 6 = 1, -n*i + 61 = 5*q. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5*i**2 + 3*i - 3. Suppose m - 4*m + 6 = 0. Let d(l) = l - 5*l**2 + 4*l**m - 1 + 2 - 2*l. Let y(b) = -3*d(b) - j(b). Let s(o) = 11*o**2. Give s(y(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 1. Let t be s(0). Let k(a) be the third derivative of 0*a**3 + 2\/15*a**5 + 0 - 1\/24*a**4 + 0*a + a**2. Calculate k(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**5 - 2*j**2 + 2. Let m(x) = 2*x**5 + x**4 + x**3 + 2*x**2 - 3. Let p(r) = 3*c(r) + 2*m(r). Find s, given that p(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13458?\nAnswer: 2, 3, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i - 3 - 7 - 4 + 31 - 8 - 9.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7008590 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2 - 1 - p - 3. Let o = -7 - -6. Give w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 4*f - 1. Let d be c(-2). Suppose 12 = -d*o + 6*o. Suppose 5*t - 2*s = s + 16, 0 = o*s + 8. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 111? (a) 5 (b) 1 (c) 3\/5 (d) -0.2 (e) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/1 - 1\/(-2)) + (-5346)\/(-3564)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Suppose -6*g = b*g - 88. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 431379 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {m: 3, n: 17}?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -44756 greater than -46026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 l, and 1 t when three letters picked without replacement from {l: 1, j: 1, t: 5, c: 1, v: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -x - 115, 0 = 4*x + 7 + 5. What is the highest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 28849989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**2 - 26*h - 1. What is the tens digit of w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (128\/320)\/(9\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-11) - 3048\/(-1397)) + -1. Does j = -1\/23142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) + 60\/9. Let h = g + 3. Let t(a) = 2*a**2 - 6*a + 1. What is the smallest common multiple of t(4) and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {m: 7, a: 4}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7\/25, -2, 4, 33, -6, 0.3?\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578 divided by 1598?\nAnswer: 789\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26 = y, 11*o = 9*o + 4*y + 24. Let p be ((-570)\/o)\/(84\/(-224)). What is the greatest common factor of 20 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11672?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 1:01 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m + 21 = -5*s, 5*s = m - 13. Let w(o) = -o**3 + o + 1. Let t be w(0). Which is the closest to -0.1? (a) t (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -0.108928?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.005, -5, 2, 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136868, -136651, -136432, -136211, -135988?\nAnswer: -135763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 24. Calculate the highest common divisor of 126 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 8:47 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -35*d**3\/3 + 45*d**2\/2 - 10*d - 2. Suppose s(z) = 0. Calculate z.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 9) to base 14\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqegelbeeegeeljejlge. What is prob of sequence ql?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 + 8*b + 11. Suppose 0 = -5*y + 4*l - 28, -42 = 3*y + 5*l - 3. Is k(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 3044*m - 193126.\nAnswer: 2*(m - 1583)*(m + 61)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*u = -30, -2*v - 8*u = -7*u + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 34. Let w(t) = t**3 + 3*t - 3. Let o be w(3). Let s = o + -15. Calculate the remainder when q(0) is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37429, -71671, -105913, -140155?\nAnswer: -174397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 40 = y - 8, 0 = 2*i - 3*y + 36. Is 10 a factor of -2 + i\/(-4) - -19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*d**2 - d**2 + 0*d**2 - 6*d**2 + d to the form j*d**2 + r*d + y and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535 (base 8) to base 4.\nAnswer: -11131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p + 6 = 0. Let f = 16 + p. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39720561 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 54 = -4*j. Sort j, 2, -3, -1 in decreasing order.\nAnswer: j, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 65 - 33 - 40*l**3 - 3*l.\nAnswer: -40*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-1)\/(-15) - (-156)\/10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -126 * -0.2\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135331, 135188, 135023, 134830, 134603?\nAnswer: 134336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/5265)\/((-5)\/25*-1)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t - 55 = 0. Calculate the least common multiple of t and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 21\/2*h**2 + 0 + 15\/4*h**3 + 40*h + 1\/8*h**4. Suppose p(q) = 0. What is q?\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 28489498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -569, -3 in decreasing order.\nAnswer: -3, -29, -569","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 339*h**2 - 5715*h + 151875.\nAnswer: 3*(h - 125)*(h - 15)*(h + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 f when four letters picked without replacement from ibufifffiu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150968 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -12) + (-1 - (12 + 7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - h. Give q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -0.005?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 33679\/35 and 961 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869304 is divided by 18875?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*d + 110, 2*d - 44 = 3*x - 5*x. Find the second derivative of -25*m - 3 - 28*m**2 + 8 - 3 - x*m wrt m.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdvddd. Give prob of sequence dvdv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-9)*-9*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -458117 and 16.2?\nAnswer: -7421495.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 2:41 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0) + (-5)\/(-5). Let p(x) = 0 - x**f + 0. Let a(b) = -4*b. Determine a(p(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Solve -6 = -p - 2*m - 2*m, 4*m = p + x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705 - 89 = 28*f. Let m be ((-11)\/(-3))\/((-4)\/(-108)). Calculate the greatest common divisor of f and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1223 - -16269. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19226567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2539448079 to the nearest one million.\nAnswer: -2539000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83.9 - 16.9. Let z = -66.7 + l. Sort z, 2, 24 in ascending order.\nAnswer: z, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*i**3 - 72*i**3 - 16*i**3 + 8*i**3.\nAnswer: -116*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7863536*n**4\/5 - 12*n**3\/5 = 0. What is n?\nAnswer: 0, 3\/1965884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5\/7 - 34*m**4\/7 + 160*m**3\/7 - 200*m**2\/7 = 0.\nAnswer: 0, 2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 4953222?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11061\/8 - -1387. What is the common denominator of v and -53\/948?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-24)*-12*3\/54.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17645097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75781046 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13619, -13552, -13485, -13418?\n\"Answer: 67*n - 13686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1720*g - 98013. What is o(-57)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8847 + 8839 - 6882*d - 17686 to k*d + f and give k.\nAnswer: -6882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-155 - -66) + 115 + -1 + -50\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 24*f = -498. Suppose -5*t - 366 = -5*d + f, 3*t - 119 = -d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/96975 and -47\/246445800.\nAnswer: 739337400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010 (base 3) in base 16?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 8) to base 11\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (63\/(-210))\/(15\/(-20)). Which is the nearest to v? (a) -0.2 (b) -1\/30 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000413366042 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2\/3 - 29*c\/3 - 208\/3 = 0. What is c?\nAnswer: -16, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtdt. What is prob of sequence tdr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10096 + 10568 = 82*y. Calculate the remainder when y is divided by 92.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2 - 1 + 4 + 0 + (1 - 3 + 1)*(-4 + 3 + 2) - 21 + 3 - 34)*(4*m + 2*m - 4*m).\nAnswer: -102*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 + 2*s - 3. Let r(j) be the second derivative of 13*j**4\/12 + j**3\/2 - 5*j**2\/2 + 27*j - 2. Determine 10*b(x) - 6*r(x).\nAnswer: -8*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -221, -237, -269, -323, -405, -521?\n\"Answer: -g**3 - 2*g**2 - 3*g - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4 - 2. What is z in j*z**3 + z**3 + 10*z**2 + 5*z + 2*z**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(116 - 125 - 34\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, -4, -0.2 in increasing order.\nAnswer: -4, -0.2, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 19 - 19*z - 41.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36842321123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 277372?\nAnswer: 277374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 193827681 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 963*r**2 - 25950*r.\nAnswer: 3*r*(r - 346)*(r + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 0 - 5*t**2 + 1\/60*t**5 + 0*t + 1\/3*t**3 + 0*t**4. Does 19 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 989002?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7*1\/49*(-294)\/(-21)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 176, 624, 1504, 2960, 5136, 8176?\n\"Answer: 24*k**3 - 8*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*q + 2714091 = 0, 100974 = -3*n + 4*q + 2815086. What is n rounded to the nearest ten thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035924308 to 5 dps.\nAnswer: 0.00359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1*2\/(-2). Solve -5*n = -r - 5, 4*g = -3*n + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 571*g**4\/6 + 2285*g**2\/2 - 134*g - 1. Find the first derivative of f(d) wrt d.\nAnswer: 2284*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 5*y - 6. Let k be h(4). Let z(p) = -20*p**3 + p**2 + 7*p + 11. Is z(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506680 + 4*q**3 - 506680.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 5 = 7*a, 5*v - 7500 = 3*a. Let b = -40478\/27 + v. Let n = 41653\/9 + -4633. Find the common denominator of b and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**(-2\/9)*z))\/(z*z\/((z\/z**1)\/z)))\/(((z\/(z*z\/(z**(-1)\/z)*z))\/z)\/z)**(-28))**42 assuming z is positive.\nAnswer: z**(-21518\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -22. Suppose 3323 = l*n - 1724. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivixixvvvivv. What is prob of sequence ixi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1796420 - -2689909. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 1, f: 4, l: 2, j: 1}. What is prob of sequence lj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116692807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3827103?\nAnswer: 3, 7, 182243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1553889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by 5?\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikkk when four letters picked without replacement from {k: 4, n: 5, i: 4, t: 2}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**5 + 35*y**3\/3 + 15*y**2 - 302. Determine k so that x(k) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/5)\/u)*u)\/u**2)**(-1\/56)\/((u**1)**(-8)*u**(1\/2)*u**2*u) assuming u is positive.\nAnswer: u**(179\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345.37 + -347. Round g to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 524502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2772)\/(-1155)*30\/(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -90, -91, -92?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 17*z - 1. Let b(x) = -6*x. What is 4*a(t) + 11*b(t)?\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/21 - (-16)\/3. Let d(g) = g**4 + g + 1. Let x(l) = 4*l**4 - 6*l - 14. Let p(c) = o*d(c) + x(c). Differentiate p(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20255 smaller than 20257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -316*h**4 - h**3*p**3 + 101*h**2*p**2 + 3*h*p**3 wrt h?\nAnswer: -7584*h - 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.94 - -0.06. What is the third biggest value in 2\/7, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 475 and 197159631625?\nAnswer: 197159631150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -2*d, 0 = -2*m + 3*m. Let y(k) = -4*k**d + 4*k**2 + k**2 - 4*k**2. Let j(g) be the third derivative of g**5\/60 + g**2. Give j(y(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -0.6 (b) 4 (c) 0.0671\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12981 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -19 - (1 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*k + 110*w = -58*k + 106*w - 22, k + 13 = 14*w for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.3 (c) -5 (d) -1.3 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 69\/(-18) - 6\/36. Let i be (6 - 5)*c\/36. What is the fourth smallest value in -0.1, 1\/3, i, 1\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.73383 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38861390*y**5 + 392*y**2 - y - 5935 wrt y.\nAnswer: -2331683400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 1443*n**2\/4 + 2883*n\/4 + 1441\/4.\nAnswer: (n + 1)**2*(n + 1441)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = 57 + 159. Put 3, t, -3 in decreasing order.\nAnswer: t, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f*f**(1\/4)\/f*f))\/((f**(-4)*f)\/f))\/(f\/((f**(-4\/19)\/f)\/f))**(-1\/38))**45 assuming f is positive.\nAnswer: f**(249165\/1444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v + 13 = -53*v. Let o(u) = -u**2 - u. Let j(y) = -17*y**2 - 5*y + 1. Let p(w) = -j(w) + 5*o(w). Give p(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*c - 2 = -5*y - 265*c, 2*y + 4 = -2*c. Let a = 468369\/1360 + -1722\/5. Which is smaller: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 h, and 2 r when four letters picked without replacement from rrrfrrrrrfrrhrffhrmm.\nAnswer: 176\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 + 13073132*a + 42726695072356 = 0. What is a?\nAnswer: -6536566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*2.6\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 16*v**2 - 18*v**2 - 2 in the form x + n*v**2 + p*v and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 9967?\nAnswer: 995b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172059564?\nAnswer: 2, 3, 14338297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -0.3, 2, -1\/4943?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**2 + 8*w**2 - 5*w**6 + 4*w**2 wrt w?\nAnswer: -600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(1 + (-15)\/51). Let l = n - -70\/51. Let k be (6 - 0\/(-2)) + -2. What is the nearest to 1 in k, l, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232000023 (base 4) in base 15?\nAnswer: -3ac6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20933 + -20925. Which is the nearest to 48? (a) w (b) -2\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 + 3)*(-1 + 1 + 6*n).\nAnswer: -48*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750*x + 16580 + 52659 = 989 for x.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 574.323 + -574. Round d to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3663 + -142?\nAnswer: -4025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by -20.\nAnswer: -137\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1138095 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -2.27875.\nAnswer: 0.09115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, g: 1, i: 1, d: 2}. Give prob of sequence dgi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15601295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7274527 divided by 3433\nAnswer: 2119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 130 = 5*l, 2*m = 5*m - 4*l - 98. Let j be (-318)\/(-27) - 4*1\/(-18). Calculate the greatest common factor of j and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 3876756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqqqqqqyqqk. What is prob of sequence qkq?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-5 - -7) + 5)*1 + 8364\/1148\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8110*d + 195. What is the ten thousands digit of x(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5241, 10482, 15723, 20964?\nAnswer: 26205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*v = 6*p - 43, 96 = 4*p + 3*v. Differentiate 37 - p - 28*o**2 + 12 wrt o.\nAnswer: -56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0070993 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = 87*i - 62*i. Let t(b) = -b**2 - 17*b - 20. Calculate t(i).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6388 + 912. Suppose -3*u + h = -8*u - x, -2*u - 4*x = 2920. What is u rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*d = -6 + 3, 0 = 5*d + 25. Suppose -5*w - 2*x + 168 = 0, x - 174 = -5*w + 5*x. What is the remainder when z is divided by (-8)\/20 - w\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14281, -14917, -15553, -16189, -16825, -17461?\n\"Answer: -636*y - 13645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 4*k**2 - 2*k**2 + (-2*k + 0*k + k)*(-2 + 2 + k) - 1 + 2*k**2 + 1 + 2*k**2 + 17 - 18 + 2*k - 5*k)*(25*k - 9*k + 15*k).\nAnswer: 124*k**3 - 93*k**2 - 31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 0*h - 2*h + (-25 - 24 + 15)*(-h + 0*h - h) + 4 - h - 4 + (0 + 0 - 2*h)*(0 - 1 + 2) - h + 2*h - 4*h - 3*h - h + 2*h.\nAnswer: 57*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.89 - 0.11. Let n = r - -13. Let q = -1.9 - -2. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11055, -21561, -32065, -42567?\nAnswer: -53067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190678 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 107.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 297*j**2 - j + 2*j**3 - 10*j**3 + 2 + 10*j**3 as i*j + p + w*j**2 + a*j**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 45*v + 302. Let l be i(-51). Suppose 4*j - 13 + 5 = 0. Put l, 5, 1, j in decreasing order.\nAnswer: 5, j, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -50, -70, -90?\n\"Answer: -20*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -322*x - 10804*x**2 + 168*x - 4 + 148*x wrt x.\nAnswer: -21608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccppcpccc. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 696?\nAnswer: -45\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**23*i**(-2)*i*i**(-1\/3) assuming i is positive.\nAnswer: i**(134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3065*o**3 + 1640*o**3 + 3073*o**3 - 7784*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 4.8\nAnswer: 139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -46841682*k. Let n(t) = -2*t**2. Determine n(j(v)).\nAnswer: -4388286345178248*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {e: 2, t: 2, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/6 - 25229*q**3\/6 + 1743316*q**2.\nAnswer: -q**2*(q - 408)*(q + 25637)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 365.01 - 374. Let u = j + 9. Let p = u - 0.012. Round p to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 60*w**2 - 138*w - 259. List the prime factors of z(26).\nAnswer: 36713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -563733, -563730, -563727?\n\"Answer: 3*n - 563736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10*r - 5. Let o = 661003\/246 - 2687. Let d = -109\/82 - o. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.169157963 - 0.08.\nAnswer: 0.089157963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 115. Let j be q(37). Solve -3*a + 2*a + j = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8\/101 + 335\/404. Determine n, given that 1\/2*n + j - 1\/4*n**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 - 16 = 29. Which is the nearest to 0.03? (a) -0.2 (b) 0.3 (c) t (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3\/3 - 3*f**2 - 3*f - 1. Suppose -3*t + 25 = -8*t. Let v be g(t). Sort -5, 4, v in ascending order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + 0.13. Let m = -21 + 18. Let t be 1 - 25\/10 - m. What is the third smallest value in p, t, -0.6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16 - 2) + -14 + 738 is divided by 58.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 127995330.\nAnswer: 38398599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1865319365 or -1865319364?\nAnswer: -1865319365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + w**2)*(5 + 1 - 2)*(-11 + 11 + 6*w) as z*w**3 + u*w**2 + o + p*w and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3339 by -3.\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93\/(-15) + 154\/22.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(27\/(-9) - -8). Let f(j) = -2*j**2 + 11*j - 8. What is f(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0*m**3 + 2*m**3 - 3 - 4 - 9*m**2. Suppose 24*f - 13 = 25*f - 4*t, -2*f - t + 19 = 0. What is the tens digit of p(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -137783, -137845, -138015, -138347, -138895?\n\"Answer: -9*g**3 + g - 137775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 57 = 3*j. Let n = j + -19. Solve -2*x - 8 = 2*h, -5*x = -2*h - n*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1862961415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/182)\/(2\/(-14))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + 264*w - 3977. What is h(115)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**4 - 519*r**3 - 2*r + 520*r**3 - 2*r**4 to q*r**3 + u*r + b + y*r**2 + l*r**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -3, 5, -29, 1, -4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/33 + (-7 - 0 - 363\/(-33)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*n**4 + 50 - 50 + (1 - 3*n + 5*n + 2)*(0*n**2 + 3*n**3 + 0*n**2) to w*n + v*n**4 + l*n**2 + m*n**3 + b and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a millennium in centuries?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.35 + 0.35. What is the closest to -1 in 3, 2\/5, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/23922 and 107\/34554?\nAnswer: 310986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 1191*n + 164 - 1192*n to the form r*n + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9 + 31261*b**3 - 28322*b**3 + 2005*b**2 + 9 wrt b.\nAnswer: 17634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -32*x + 905. What is the remainder when 430 is divided by d(27)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*r - 319*r - 142*r + 224*r.\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*w + m, -3*m + 47 = -2*w + 38. Suppose w = -4*i - 2*t + 4154, -6*i - 2*t = -8*i + 2080. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*l - 4119 = 0, -3*l = 21*s - 17*s - 5495. Does 16 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(8*j + 12*j - 38*j)*(5*j**2 + 0*j**2 - j**2).\nAnswer: -144*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 293664 and 506.\nAnswer: 3230304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 607093502 and 4?\nAnswer: 1214187004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -422 + 394 + (13 - (4 - 6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 - 2*a**2 + 4*a + 2*a**2 - 3*a - a**3 as t*a**2 + c + d*a**3 + u*a and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -611477, -611484, -611491?\nAnswer: -611498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 3:20 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.093 + -0.147. Let h = 177.76 + -183. Let f = h - i. Sort -0.1, f, 5 in decreasing order.\nAnswer: 5, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -81163.\nAnswer: -9\/81163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 5*w**2 + 7*w + 1. Let d be u(3). Suppose 350 = d*p + 3*p. What is the remainder when p is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*b + 3*t - 11, 0 = 2*b + 4*t - 14. Suppose -2*x + b*y = 26 - 0, -5*x + 5 = 5*y. Does 15 divide (-77)\/x - 2\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2942*z - 1488*z + 8*z**2 - 1482*z to q*z + p + f*z**2 and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7406 in -2\/7, -785, -0.5?\nAnswer: -785","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + 0*x)*(-2 + 7 - 1) + 3*x - 10*x - 8*x + 5*x + 9 - 9.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 20705?\nAnswer: 49\/20705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 1, w: 1, h: 2}. What is prob of picking 1 s, 1 h, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 0 - -4 - (2 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49315\/11 - -4483. Which is the second smallest value? (a) 100 (b) -1\/3 (c) -1 (d) -2 (e) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5*k + 2*k)*(3*k - 3*k + 2*k**2)*(4 + 0 - 1).\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -2*s**3 + 9\/2*s**2 + 1\/4*s**4 - 63 - 2*s. Factor f(p).\nAnswer: 3*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -266 + 130. Let r(l) = -l**3 + 30*l**2 - 3*l - 31. Let o be r(30). Let q = o - t. What is the least common multiple of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (160\/112)\/((-1)\/(-7)). Suppose j = -2*z + 6, 3*z - j + h = 24. Let f = 25 - 24.9. What is the closest to z in f, -0.3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 21.6. Let h = d + 0.3. Which is the second biggest value? (a) -0.4 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 97*r - 10726 + 16338 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -13*p + 5. Let a(i) = -918*i - 26 + 924*i + 19. Let g(d) = -78*d + 93. Let m(y) = -27*a(y) - 2*g(y). What is 3*b(t) - 5*m(t)?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*u + 3*g**2 + 2*g*u**4 - g - 253*u**4 + 604 with respect to u.\nAnswer: g**2 + 8*g*u**3 - 1012*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z - 73 - 29*z + 26*z.\nAnswer: 29*z - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7359 + 18.2641. Which is the smallest value? (a) 7 (b) 4 (c) m (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 1 - -5) + -2. Let t be (0 + v)*-6 + 4. Let h = 5 + -10. Which is the smallest value? (a) -1 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -19*x**2 + 95. Let c(i) = 1. Give 95*c(l) - f(l).\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 106*c + 862*c + 337*c to g*c + v and give g.\nAnswer: 1305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(70)\/(3*sqrt(90))*3.\nAnswer: sqrt(7)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 946 and 78395834.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -66*h + 1. Let r(w) = -66*w + 1. Determine -4*r(p) + 5*v(p).\nAnswer: -66*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.41 - 1.40999886. What is q rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 955549774 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 100. Let i be p(-17). Suppose 1646 = 4*j - 2*l, 2*l + i*l = 5*j - 2062. List the prime factors of j.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130833251 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44, 72, 92, 98, 84, 44?\n\"Answer: -f**3 + 2*f**2 + 29*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -289 less than -16.2?\nAnswer: 272.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*d - 3. Let g(a) = a**2 - 3*a**2 + a**2 - a**3 + 0*a**3. Let m be g(d). Solve m = -4*f + 6 + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 - 135*v**2 - 51*v**2 + 33*v**2 - 165 - 3*v**3 + 62.\nAnswer: -3*v**3 - 153*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 2549582.\nAnswer: 2549581.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:00 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 35. Let c(z) = -z + 7. Let y(l) = -11*c(l) + 2*p(l). Let s be y(11). Is 6 a factor of 23\/s - 6\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - 50*d + 50. Let v be b(9). Let z(q) = -q**2 - q + 24. Determine z(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p + 5. Let f be b(0). Suppose -4*m = 5*g - 47 - 52, 4*g - 90 = -5*m. Suppose -3*r = 2*k - 8*r - g, f*k + 9 = -3*r. Solve 4 = -k*d + d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:33 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2220 (base 3) to base 8.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*u - w - 2, -5*u - w = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*l + 11*l + 32*l + 18*l + 12*l + 10*l.\nAnswer: 25*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -26. What is the nearest to 0 in -3\/2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 242 + 226 = -21*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162426580 - 511*i**2 + 3745*i**2 - 162426580.\nAnswer: 3234*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (66\/88)\/(1\/(-12)*-1). Suppose m + 4*m = 375. Suppose -y*l = -10*l + m. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 92*u**3 - 11983*u**2 - 11931*u**2 + 23954*u**2 in the form f*u**3 + i*u + y*u**2 + c and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11 = -2*k - 0*l, 2*l = k - 17. Let c be (k - 6)\/(1\/3). Suppose 8*p**2 + 2*p**5 + 6*p**c - 8*p**4 + 297 - 297 - 8*p = 0. What is p?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -430\/2091 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 1 (b) 2\/9 (c) 2\/7 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123 + 126. Which is the third biggest value? (a) 1 (b) -1 (c) i (d) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2\/9, -0.39 in descending order.\nAnswer: 6, 2\/9, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9815 + -0.0185. What is the closest to 0.1 in -5, 1\/3, k, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 378 - 132. Let p = -110 - m. Let o = -1906\/9 - p. Which is the closest to 2? (a) 1 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120231 - -113?\nAnswer: -1120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g**4 + 5*g**4 - 7*g**4 - g**4 - 4*g**4 + 17*g**4 + (0 - g**2 + 0)*(-2*g**2 - 2*g**2 - 2*g**2) + 5*g**4 - g**4 - 3*g**4.\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrhjrhjerjhjj. Give prob of sequence rhe.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -32. What is the units digit of (0 - -5)\/(h\/296)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -12.999988. What is h rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.565925 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -56701013?\nAnswer: 56701016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/35 - (244\/366)\/(-4 - 6818\/(-1707))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 5*y**2 - 12*y + 35. Let q be n(4). Factor -2*t + q + 1\/3*t**2.\nAnswer: (t - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227618943.\nAnswer: 3, 75872981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47778 = 1757*k + 85509 + 2002 for k.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 133512?\nAnswer: -133514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, f: 3}. What is prob of picking 2 o?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 2. Let h be k(3). Suppose -b = -3 - h. Suppose -3*o = -5*j - 13, -2*j - b = -5*o + 1. Let m(s) = -s**2 - 3*s - 1. Give m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3370*z - 78211 + 47594 - 110923 = 0 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1425256 to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15*w**2 + 57*w - 20. Calculate m(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1471000 to the nearest 10000.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 13*u. Let l(t) = 3*t**2. Determine l(i(b)).\nAnswer: 12*b**4 + 156*b**3 + 507*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -r - 2*r + 12, 5*j - 25 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 845 - -6166?\nAnswer: 7011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*d + 111*d - 1401451 = -45677. Is d a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:23 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2. Suppose -a + 3*r = 0, -a + 2*a = 5*r + 2. Let p(q) = -q**3 - 3*q**2 - q. Let o(c) = 13*c - 145. Let m be o(11). What is a*g(u) + m*p(u)?\nAnswer: 2*u**3 - 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 2032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uebb when four letters picked without replacement from ubuuubebububwuebe.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3150?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4 + 0 - (-1037)\/(-244)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*f - 15704 = 0, 0 = -5*j - 28*f + 30*f + 26180. What are the prime factors of j?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 169, 405, 643, 883, 1125, 1369, 1615?\n\"Answer: l**2 + 233*l - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmmwmmwwm. Give prob of picking 2 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -7 + (6 - 5 - -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*h**6 - 3*h**5 + 2*h**4 - 12232*h**2 wrt h?\nAnswer: -24960*h**3 - 180*h**2 + 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -130.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30488173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1148*4\nAnswer: 4592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-12)*2*-30. Let z = -42 + i. Solve 7*d + z*h = 4*d - 12, -d - 5*h - 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -66, 0.2, 22\/3, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.95 and -40729.7?\nAnswer: -242341.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 17*n**6\/120 - 49*n**3\/2 + 2*n**2 + 34*n. Differentiate o(h) with respect to h.\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, 54, 562, 1126, 1764, 2494, 3334?\nAnswer: 4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, i: 4, g: 2, d: 1}. Give prob of picking 3 i and 1 e.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(343) + 3 + 3*sqrt(343))**2 + (-3*sqrt(28)\/(sqrt(64)*1))**2.\nAnswer: 840*sqrt(7) + 439823\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1553*f**3 + 14*f**2 - 14*f**2 - 390*f - 1551*f**3.\nAnswer: 2*f**3 - 390*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -11, -4, -14985 in descending order.\nAnswer: -4, -11, -49, -14985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -6 - -20) + -30 - 36\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/10687 or -170?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108363 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -5. Let v = 25 - p. Is v at least as big as -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 78*t**3 + 6*t**2 + 20*t - 54. Is m(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 249821 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1436.\nAnswer: 3\/718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 1 u when three letters picked without replacement from {d: 7, u: 1, q: 2, x: 2, r: 2, g: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/9 and (-22005)\/671895 + (-2)\/(-28).\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 7. Suppose -l - 42 = -4*t - 0*l, -5*l - 10 = 0. Calculate the remainder when g(-5) is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 10*p - 10. Let x(l) = -14*l**2 - 29*l - 29. Let q(t) = -11*s(t) + 4*x(t). Suppose j = -y - 8, 0*j + 2*j = -4. What is q(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/25 and -48\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 9 - 21. Suppose 3*b - 5*b + y*q = 25, q = -3*b + 5. Suppose b = 17*r - 279 + 24. Solve 2*z = -3*z - r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 4935\/225)*(3 + (-240)\/85)?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 17 (c) 3\/286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 * -15.68.\nAnswer: -0.58016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkqkkqkkkkkkkkkkq. What is prob of sequence kqqq?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 9*i + 3. Let r(q) = -q**2 + 9*q + 4. Let p(j) = -3*r(j) + 2*x(j). Give p(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + x = 3*x + 8, 5*i = -2*x - 24. Suppose 0 = 23*m + 17 + 144. Are i and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2376, 2384, 2414, 2478, 2588?\n\"Answer: 2*j**3 - j**2 - 3*j + 2378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.94. Let w = 5.04 + s. Let c = 5.206 - w. Round c to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*q - 12. Suppose -q*r + 8 = -2*r. Suppose -r*z - 3*z**2 + 3*z**2 + 3*z**2 = 0. Calculate z.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.9 from -490749035279.\nAnswer: -490749035280.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*g + 16, 4*g - k + 28 = 4*k. Let f = g + 26. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 204474 and 204474 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 400*k + 3582. Let q be y(9). Determine x so that -q*x - 147 - 9*x**2 - 3\/7*x**3 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3\/7)*f*f**(-1\/2)\/f*f*(f\/(f\/(f*f**(-5\/4)*f)))\/(f\/(f*f*f**(-1\/4)))*f*f\/(f*(f*f*f**1)\/f*f)*f**(1\/8)*f*(f**(-2\/5))**(2\/31) assuming f is positive.\nAnswer: f**(14501\/8680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(((221\/17)\/39)\/(-11))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2491077882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*u + 105*u - 44*u**2)*(-2*u + 1 - 1)*(3*u + 2 - 2 + (0 + 2*u + 0)*(-2 + 0 + 4) - 2*u - 2*u + 5*u - 7*u - 5*u - u).\nAnswer: -440*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29750758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -55?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 0*d**2 + 1\/3*d**3 - 3*d - 1\/10*d**5 - 14 + 0*d**4. Give k(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 - 249*l + 271. Determine o(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let k = -2817 - -2002. Let q = k - -818. Solve 6 = -g*t - 3*u, 2*t - 2 = q*u + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124538710853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 698*m - 2076.\nAnswer: -2*(m + 3)*(m + 346)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((6*(-1 + sqrt(720))*1)**2 + (5 + sqrt(720) + (sqrt(720) + 1 + 2 - sqrt(720)))**2)*-2 + -3).\nAnswer: -5376*sqrt(5) + 213932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -3 (c) -4\/5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 231828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**4\/24 - m**3\/6 + 4*m**2. Calculate h(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.14 times -0.03?\nAnswer: -9.9642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1473, -2947, -4425, -5907, -7393?\n\"Answer: -2*j**2 - 1468*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9*n + 5*n = 231, 6*k + 5*n - 1618 = 0. Solve -k = 16*u - 151 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -330?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 14*g + 244. Let w be x(-10). Which is the smallest value? (a) 31 (b) 2 (c) -2\/7 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*f - 709*f = 3065. Let j(g) be the first derivative of -g**3\/3 - 3*g**2 - g + 1. Calculate j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/626232 and -64\/7749621?\nAnswer: 61996968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwc when three letters picked without replacement from bpwpuvwubbuwcucv.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 943385 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 1325974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7097\/3 > -2367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -2\/11 (b) 4 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1298790833 to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -37092 at least as big as -37739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + 0 + -1 + 18 + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 28 = 3*j - 5*n, 5*j = n + 24. Suppose -2*y + j*y + 14 = 0. Let f be y\/(-15) - 1\/(-5). Which is bigger: f or -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -12. Let w be (0\/a)\/(11 + -13). Suppose w = -3*r + 7 - 1. Sort -3, 3, r in ascending order.\nAnswer: -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from {k: 1, t: 2, u: 1, s: 1, j: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + (sqrt(5) - (sqrt(180) - sqrt(5))*-1) + 0 + 0 + sqrt(5) + 0 + -4.\nAnswer: -4 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - -1*(sqrt(605) - (-1 + sqrt(605))))**2 - sqrt(605)) + (sqrt(605) - (1 + sqrt(605)))*4 - ((sqrt(605) + -2*sqrt(605) + 1)**2 + -1).\nAnswer: -3 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -12. Let b = -8.1 + 2.1. What is the second smallest value in v, 0.3, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1600\/((-7200)\/(-72))*36\/16*10\/6\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 5) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 5*b**2 + 1141420*b + 91281600 = 0.\nAnswer: -228204, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*s - s = 11, -5*q - 4*s + 9 = 0. What is the second smallest value in q, -1\/5, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-40)\/12*-3. Find the first derivative of i*a**2 - 3*a + a + 248 - 254 wrt a.\nAnswer: 18*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -576685 + 576700. Factor -65\/2*m + 25\/2*m**2 - g.\nAnswer: 5*(m - 3)*(5*m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 - -32. Let n = -12 + l. Is n < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v*v)**35\/(v**(-3\/2)*v**(-5)\/v) assuming v is positive.\nAnswer: v**(225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 8 + 7)*(3*y - 2*y - 2*y) to s*y + k and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -0.234206726\nAnswer: -3.765793274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5 - 515\/(-25). Suppose -k + t = -4*k. Let n = k - -9. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 42482.466 microseconds?\nAnswer: 0.000011800685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 9 + 20 + (1 + 2 - 4)*(-4 - 1 + 7))*(-i**3 + i**3 + i**4) to the form g*i + d + m*i**4 + y*i**3 + h*i**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/10 and -47\/15540?\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-19)*q\/(((q*q\/q**(-20))\/q)\/q))\/((q\/q**12)\/q**15))**11 assuming q is positive.\nAnswer: q**(-132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, k: 3, o: 3, a: 5, z: 3}. Give prob of picking 1 k and 2 x.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000292441 to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 1 (c) -3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.1 + 57. Let w = -5.1 - z. Let r be ((-8)\/(-40) + (-4)\/10)*3. Which is the third biggest value? (a) 0.5 (b) r (c) -0.1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8747584821 to the nearest integer?\nAnswer: 93529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241157 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*i**3 + 40*i**3 + 31*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*z, -3*z + 20 = -0*p - 4*p. Let m(a) = -a - 4. Let q(u) = -u + 1. Let v(b) = m(b) + 2*q(b). Let c be v(p). Solve 0 = -c*j + 7 + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4057.759mm?\nAnswer: 4.057759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1943 - -2821. Let d = w - 811. Calculate the remainder when d is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + u - 5*u)*(2 - 1 + 2) + 106 - 106 + 72*u.\nAnswer: 66*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206.4 + -184. Let j = 22 - g. Let v be 5\/3 + -1 + 1. Which is the second smallest value? (a) -0.1 (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(832) + sqrt(832)*-3)**2 + -4*(sqrt(104)\/sqrt(4))\/sqrt(2).\nAnswer: -6656 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 794*x + 3648 + 1974 + 18198 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -23 - (14 - 43)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*b + 19*b + 51*b**4 - 58*b**4 - 71*b**4 wrt b?\nAnswer: -936*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34\/(-8))\/((-13)\/104). Let c be ((-9)\/(-27))\/(1 - p\/36). Solve 3*f = f + c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(1650\/560))\/((-16)\/(-24))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903686867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -70*w + 197. Let z be o(3). Let d(f) = -f**2 - 13*f - 3. Give d(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2773 - 19.7227. What is the fourth smallest value in -0.3, 1, 25, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + q**2 - q + 1. Let j(u) = 9*u**2 + 6 - 6*u + 3*u**2 + 2144092*u**3 - 2144096*u**3. Calculate -j(s) + 6*k(s).\nAnswer: -2*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 484238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 352342 and 84847?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/4 - 3*u**4\/4 + u**3\/4 + 3*u**2\/4 - u\/2.\nAnswer: u*(u - 2)*(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010101 - 11?\nAnswer: -1000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276523.\nAnswer: 23, 55501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 19 = -8*j. Let o = j - 14. Suppose 3 = -g + 2*g. Which is greater: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-21))\/(2\/372). Suppose 8 = 2*a - j. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -88, -91, -94, -97?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 159545779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 506*z - 59254. Calculate v(184).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 287 - 283. What is the least common multiple of 18 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(3*sqrt(1452)) + -1*1*(0 + sqrt(19)).\nAnswer: -32*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, b: 1, e: 4, g: 3, p: 7, o: 4}. What is prob of picking 1 p and 2 o?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 1498.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -15 in ascending order.\nAnswer: -15, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*c**3\/17 - 112630*c**2\/17 + 3678924*c\/17 + 2040192\/17 = 0. What is c?\nAnswer: -5152, -6\/11, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-20)\/(-144616))*13. Let i be k\/(-10) + 2\/(-10). Round i to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -269. Let c be 7\/((-14)\/a) - (-8)\/(-4). Calculate the highest common divisor of 90 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -11052, -5, 0 in decreasing order.\nAnswer: 4, 3, 0, -5, -11052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nonologoooogogzloog. What is prob of picking 2 n, 1 g, and 1 o?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (sqrt(12)*-1)\/sqrt(4) - (-4 + -4 + sqrt(27))))**2.\nAnswer: -792*sqrt(3) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byv when three letters picked without replacement from {b: 4, v: 2, y: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-3)\/9)\/(170\/204))\/(-22). Which is the second biggest value? (a) q (b) 2\/5 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10710)\/280)\/(99\/(-88)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -252a92 (base 13) to base 5.\nAnswer: -212012334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + -121?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from 1440277.\nAnswer: 1440287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 5, i: 1, e: 3}. What is prob of sequence si?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2465\/9, 5, 0.09, -28 in ascending order.\nAnswer: -2465\/9, -28, 0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 402785586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56402556, -56402559, -56402562, -56402565, -56402568?\n\"Answer: -3*s - 56402553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-1)\/(-4) - -2. Suppose 5*z + 2*o - 12 = 0, 753*z + 7 = 758*z - 3*o. What is the third biggest value in z, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 64? (a) -5 (b) 4 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.11 (b) 2\/33 (c) 43\/5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4520*r**4 - 2054*r + 1.\nAnswer: -54240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/4 + 2049*n\/2 - 317501\/4 = 0. Calculate n.\nAnswer: 79, 4019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 3*j)*(2416184*j + 5*j**2 - 2415835*j + j**3 + 5*j**2) to the form u*j**2 + s*j**3 + b*j + a + r*j**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:54 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + j - 4*j + 21 = 0, -3*w - 15 = -3*j. Suppose 2*i - 26 = -4*m, 2*m + 3*i = -2*i + 25. Sort m, w, 10, 3 in ascending order.\nAnswer: w, 3, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/4 - 22*o**3\/3 + 11*o**2 - 30*o - 5509. What is t(-23)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2021044 - -40143?\nAnswer: 2111242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {m: 2, v: 1, j: 2, b: 2, z: 2, g: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28071 - 24594 = -563*y + 56962 for y.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from hfmyiif.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18937874, -18937875, -18937876, -18937877, -18937878, -18937879?\n\"Answer: -c - 18937873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110111 + 11001111?\nAnswer: 1110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89655336 + 89655326.9999946. Let v = x - -9. What is v rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 60. Calculate the remainder when m is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -20. Solve n = d*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 30 = 3*o, -y + 33*o + 8 = 34*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.29 (b) 13 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 2*c + 9. Let k = 1155 - 1155.4. What is the nearest to 2 in 3, c, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -32*q - 1. Let w(c) = -11*c. Give 6*v(f) - 17*w(f).\nAnswer: -5*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, r: 7}. What is prob of picking 4 r?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17997215.4 - -0.5\nAnswer: -17997214.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1643 + 936. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212862864 by -1.\nAnswer: -212862864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**3\/3 - 3*s**2\/2 + s + 3. Calculate y(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377952554.\nAnswer: 2, 7, 131, 206081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/5 + 2*f**4\/5 - 12*f**3\/5 + 4*f**2\/5 + 2*f - 6\/5.\nAnswer: 2*(f - 1)**3*(f + 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b. Let h = -91 + 151. Let v(u) = h - 60 + 7*u. Give z(v(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4\/2 - 7092*t**3 - 2087109*t**2\/2 - 1036464*t = 0?\nAnswer: -4576, -151, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 6 + 3\/2*c**3 + 1\/2*c**4 + 0*c**2 - 6*c. Let n(s) be the first derivative of g(s). Find the second derivative of n(r) wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/21)\/((-6)\/(-51))*8\/14?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5123.3 - 5123. What is the nearest to 6 in 2\/7, 13, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3888.143 millilitres to litres.\nAnswer: 3.888143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 34470?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 0.05307.\nAnswer: 0.15307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 = -2*p + 63. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83.2 - -0.08?\nAnswer: -83.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2829*g - 77616 = -2045*g for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 874315781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -95 + 100. Let h(u) = -8*u - u - u**2 - m + 2*u**2 + 13. What is the remainder when 8 is divided by h(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -17 + 57*s - s**2 - 24 - s**2. Let x(m) = -m**2 + 29*m - 21. Let w(h) = 4*b(h) - 7*x(h). What are the prime factors of w(10)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 57, 47, 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/41)*x\/(x\/x**(4\/7)))**(5\/7) assuming x is positive.\nAnswer: x**(2185\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1192*s + 99*s = 24161 + 18442 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14572\/93 + -470\/3. Which is smaller: a or 0.17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4854.\nAnswer: 4850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 45, 128, 253, 420, 629, 880?\n\"Answer: 21*g**2 - 22*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(30)\/(sqrt(10) - sqrt(160)))**2 + (sqrt(30) + sqrt(30)*2)\/sqrt(10) + sqrt(3) + 0.\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-1\/15)\/k))\/(k**(-33)\/k))**25 assuming k is positive.\nAnswer: k**(2705\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79118488897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134300 and 1612025?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/36882 and 2 - (4 - 44\/32)\/((-189)\/(-196)).\nAnswer: 36882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.617 + -0.627. Let s = 0.01 + z. Put s, 5, -1 in increasing order.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -5*t - 4. Let q be (t\/(-6))\/(-2)*9. Solve -b = 3*b - 2*g + 12, 0 = -q*b + 4*g - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1008) + 5.\nAnswer: 5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 5 - 3)*((3*j - 5*j + 0*j)*(-3 + 4 + 1) + 4*j + 3*j - 4*j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 183436 (base 10) in base 14?\nAnswer: 4abc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 9 = -3*h, -12 = -187*h + 191*h - 14*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.4. Let n = -0.2 - u. Let k = 12.3 + -12. Which is the third smallest value? (a) 5 (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(((-18)\/(-9))\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 428 - 428 - 5*b to c + a*b and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -200*501\nAnswer: -100200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952298 is divided by 212?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.43, -5\/4, -1, 4\/3 in decreasing order.\nAnswer: 4\/3, -1, -5\/4, -1.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -580245, -1160221, -1740197, -2320173, -2900149?\n\"Answer: -579976*d - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1858907 is divided by 36446?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 62836 divided by -7\nAnswer: -62836\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b + 85. Let f be u(-5). Sort -2, f, -279 in decreasing order.\nAnswer: f, -2, -279","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) 4\/7 (c) -10 (d) 2\/511 (e) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4)*-1*(-3)\/6)\/(4\/(-152)).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20564?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*a**3 - 6*a**2 + 121*a**4 - a - 2*a**2 - 120*a**4 + 1 + 10*a**2 to v*a**3 + b*a + q*a**4 + p + t*a**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23242, -46305, -69368, -92431, -115494, -138557?\nAnswer: -161620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 249 - 237. Solve -m = 3*a - 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 279 (b) -2 (c) 3 (d) -0.1 (e) 48\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 2\/7, -1179, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z. Let r(s) = 3445660*s. Calculate r(x(m)).\nAnswer: -13782640*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 21*v**3 - 4*v**2 - 22*v + 10. Let i(s) = -14*s**3 + 3*s**2 + 15*s - 7. Let w(o) = 7*i(o) + 5*y(o). Is 17 a factor of w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - 132\/(-3 + 0). Let k be ((-171)\/76)\/((-6)\/d). Solve 2*z - 5*z - k = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70459 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, 19022\/5 in descending order.\nAnswer: 19022\/5, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*c = 2*s - 1904, 5*c + 3775 = 2*s. Let d = 14814584\/55 + -1337299\/5. Let x = s - d. Calculate the common denominator of x and -24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g + 321 = v, -3*g = -2*v + 964. Suppose 2*p - 2 = 12. Is 23 a factor of (9\/(-2))\/(p\/g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171030?\nAnswer: 2, 3, 5, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxlalcw. What is prob of sequence xla?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 3:39 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3 + 4*d**2 - 2*d + 0*d**2 + d**3 + 2*d**3 - 4*d**3. Let y be s(3). Let c(i) = -i**2 + 6. Let p be c(y). Solve k + k + p = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6) + (-2 - 1 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180705920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8933 + 8966 = -11*d - 4*y, 4*d + 3 = 4*y - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**4 + 40*c**3 + 80*c**2 + 30*c + 15. Let w = -11 - -26. Let h(p) = -p**4 + p**2 - 1. Let m(r) = w*h(r) + z(r). Factor m(x).\nAnswer: -5*x*(x - 3)*(x + 1)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250050 and 240000?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 330.\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 116175 (b) -35\/2 (c) 2\/11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 893742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and 121058.\nAnswer: 121058.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Suppose -5*v = -0*v - 30. Suppose 0 = -45*d + 13*d + 32. Let c(i) = 2*i + 5. Let y(b) = d*c(b) + v*a(b). Find the first derivative of y(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 132?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42526 is divided by 61.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12) - 22\/(-8). Let c be (0 - (-6 + a)) + -2. Let g(b) = 3*b + 5. Let q(j) = -j - 1. Let y(h) = -g(h) - 4*q(h). Give y(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-85))\/((-28343)\/(-40490))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 437*k**2*w**4 + 937*k**2*w**2 + 4*k**2 + 5*k*w**4 wrt w.\nAnswer: 10488*k**2*w + 120*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 10. Let r(z) = 3*z + 8. Let k(m) = -m**2 - 2*m + 43. Let a be k(-8). Let v(c) = a*r(c) + 4*s(c). Let x(g) = 112*g. What is x(v(d))?\nAnswer: 112*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rsrrrrrsrsrr.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*((4*(sqrt(228) - sqrt(228)*2 - sqrt(228)))\/(sqrt(108)*-6) + 0))**2.\nAnswer: 1135\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:36 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/457830 and 29\/2746980.\nAnswer: 2746980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 - 120*j**2 - 428*j - 312 = 0. What is j?\nAnswer: -26, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65939007?\nAnswer: 3, 643, 34183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -c8c?\nAnswer: c89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q - 49*b = -54*b - 55, -2*b - 8 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - 12. Suppose v = 4*v + i, -5*h - v = 531. Is 8 a factor of h\/(-8) - (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.963 + 0.037. Let d = -2\/21 + -53\/105. Let m = 0.01 + 0.09. What is the closest to m in 2, d, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3\/2 + 360*o**2 + 43911*o\/2 + 42483 = 0. Calculate o.\nAnswer: -119, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-21)\/6)*2. Let p be -1 + -1 - (i + -3). Suppose p = -2*r + 11 + 11. Solve -r = -2*j - 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 129*o - 133*o = 30, -4*w - 45 = 5*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 1:54 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**5\/10 - i**4\/4 - 23. Factor v(s).\nAnswer: -s**3*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2617 - 11015*k**2 + 2621 + 10984*k**2.\nAnswer: -31*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from ccckppkyychkczccc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 16.\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30 times 1.2\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3457*u + 3480*u + 0 - 6876*u.\nAnswer: 61*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 15*u**2 + 22*u - 22. Let p be o(16). Let j = -74 + p. Solve -2*w + 5*h + 0 = -2, j = 4*w - 4*h + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((187\/44)\/17)\/((-2)\/(-313032)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*m - m, 3*v - 652 = -m - 642 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 2*s - 22. What is the units digit of (3880\/s)\/(12\/(-18))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -62. Let q = h - -35.9862. Round q to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10263, -10269, -10279, -10293, -10311, -10333?\nAnswer: -10359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32589, -65216, -97835, -130446, -163049, -195644, -228231?\nAnswer: -260810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + b**2 + 0*b**2)*(0 - b**2 + 0) + (-16*b + 16*b + 14*b**3)*(-4*b + 2*b - 2*b) + b - b + b**4.\nAnswer: -56*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 102.05. Let t = o - 99. Let a = -21\/4 + 27\/4. What is the third smallest value in t, -4, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/20 + -3 + 3. Let x = t + 8\/3. Let p = -13.99 + 14. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 0 + 4*a + 3\/2*a**3 - 2*a**2. Find the first derivative of f(z) wrt z.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6234700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 0*j + 3*j)*(2*j**3 + 4*j**2 - 4*j**2) + 21*j**2 + 16*j**2 - 11*j**2 - j**4 - 5*j + (-2 + 2 - 2*j**3)*(0*j + j - 3*j) + 4*j**4 - 5*j**4 - j**4.\nAnswer: -3*j**4 + 26*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 9*a - 28871. Determine p(-118).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -23159*c + 231539. Determine l(10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585233 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 3*y**5 + 5*y**2 - 25. Find the second derivative of f(x) wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + v**2 - 6*v + 2. Let x(y) = 2*y**3 - 2*y**2 - y - 9. Let l(u) = x(u) - z(u). Let n be (27\/45)\/(1\/5). Determine l(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9300331 is divided by 321?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + z**3 + 2*z**2 - 12*z. What is u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 680\/3 - 1549\/6. Let f = q - -33. Solve -1\/2*c**2 - f*c - 1 = 0 for c.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 5*i**2. Let n(l) = 25*l**2 + l. Calculate n(b(s)).\nAnswer: 625*s**4 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70901043*w**4 - 28523407 wrt w?\nAnswer: -283604172*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 198.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a3 (base 12) in base 3?\nAnswer: 120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + -2. Let r(x) = -5*x**2 + 3. Let o(c) = -15*c**2 + 8. What is n*r(p) + 3*o(p)?\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 123 = 2*w, -j = 3*j + 2*w + 150. Let t be (7374000\/18)\/(13\/j). What is t rounded to the nearest 10000?\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*a = 35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = -8*t + 311. Suppose -4*a + 16 - t = 0. Let w(n) = -n**3 - 12*n**2 - n + 2. Let i be w(a). Solve -i = 5*j + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9086 - 9086 - 9*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*g**3 - 169*g**3 - 50*g**3 - 16*g**3 - 7*g**3.\nAnswer: -332*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64620943139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 2*a + 2*a - 2439 - 3*a.\nAnswer: 4*a - 2439","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1266\/963 + (-3140)\/2355.\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)*g*g**(2\/3)\/g*g)\/(g*g\/g**(-4)*g*g**4) assuming g is positive.\nAnswer: g**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 74.03?\nAnswer: 296.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-742)\/(-12)*(-12)\/84 and -43\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -62.64. Let j = -97.64 + q. Let c = -99 - j. Which is bigger: c or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(14948\/222 + -66)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12b27 (base 13) to base 8\nAnswer: -104037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.67 and -0.0011?\nAnswer: -0.000737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -73661?\nAnswer: 5\/73661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28851, -29724, -30599, -31476, -32355, -33236, -34119?\n\"Answer: -g**2 - 870*g - 27980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42276743?\nAnswer: 1361, 31063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -2.97. Let l = g - -2. Let k = -13\/8 + 23\/24. What is the smallest value in 1, k, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 236249 = -3*i, 0 = -14*l + 18*l - 4*i - 236248. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(-2\/5)\/w)\/w)*w*w**5*(w*w**5*w)\/(w**(4\/3)*w) assuming w is positive.\nAnswer: w**(211\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 7*g**2 - 2*g - 9. Let j be s(-7). Let h(i) = -5*i + i**3 + j*i - 4*i**2 + 3*i**2 - 2. What is the units digit of h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 + 6*x + 5. Suppose 0 = -6*d + 1949 - 1925. Let c(l) = 427*l + 8*l**2 - 5 - d - 438*l. Determine -6*c(n) - 11*t(n).\nAnswer: -4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 194 and 21631?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-3)*(-18)\/(-8)*(-1110)\/(-666)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17\/(-51))\/1*-6582.\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 1 - 7. Solve 4*t = 2*z - 8, -3*t - v*z - 6 = -0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + t + 12. Let j = -466 + 476. Suppose -j*k + 92000 = -t*k. Round k to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 106. Suppose 2*z + y - g = 0, 102 = 3*z - 2*y - y. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 + 39 = 41*z. Solve 0 = -0*v - 5*v - 5*l + 20, 0 = -4*v - z*l + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-10))\/((-8)\/10). Let y = 2.98 + -3. Let z = y + 2.02. Which is the biggest value? (a) 1 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m - x = 13, -20 = -4*m + 4*x. Suppose -i + m*u - 41 = 4*u, 0 = 2*i + u + 91. What is the remainder when 26 is divided by 124\/9 - 10\/i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 5 + (13 - (4 + 4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*i**2 + 334104*i + 1429627 with respect to i.\nAnswer: 14*i + 334104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 356, 450, 544?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 18. Let j = r - -8. Let u = 2\/39 + -133\/312. What is the smallest value in j, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -759162 and -759158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 - 256*d + 84 - 38 + 76)*(d - d - d**2) as o*d**3 + y*d + n + m*d**2 and give o.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9867248*p**2*v**2 + 4*p**2 - 905*p*v + 9*p - 3*v + 2 wrt v.\nAnswer: -19734496*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(147) - (-1 + sqrt(147))) + 4 - (sqrt(1458) + (sqrt(1458)*-2 - sqrt(1458)) - sqrt(1458))\/(sqrt(6)*1*1))*-6.\nAnswer: -162*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -746 - -1959. Let n = -47303\/39 + u. Let o be ((-8)\/(-3))\/2 - 1\/3. Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaasaosass. What is prob of picking 2 a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*w + 2*w. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -11*g**4\/4 + g**2 - g. Let u(t) = 277 + t + 285 - 842 + 280. What is u(f(h))?\nAnswer: -33*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2\/7, 5, 7, -1622, 0.1.\nAnswer: -1622, -2\/7, -1\/6, 0.1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -870659, -3482460, -7835397, -13929464, -21764655, -31340964, -42658385?\n\"Answer: w**3 - 870574*w**2 - 86*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 10*k**2 - 37*k + 159. What is m(9)?\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = -n - 4, -4*n - 2*b - 4 = 0. Suppose n*t = 2*t - 28. Suppose -m = m - t. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10519829377\/1232 + -8538822. Let m = 1\/1232 - c. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let g(y) = -8468*y + 18. What is g(q(d))?\nAnswer: 8468*d + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 - 7 - 2*w**3.\nAnswer: -2*w**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 25 + y**2 + 2*y + 28 + y**2 - 54. Let h be d(-2). Put h, 2, 0 in decreasing order.\nAnswer: h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71.80000714 + 71.8. Round r to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 167992802, 167992804, 167992806, 167992808?\n\"Answer: 2*v + 167992800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7899, -15799, -23701, -31605, -39511?\nAnswer: -47419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*a + 17063, -a = q + 2011 - 19050. Is q a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 597690 a multiple of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 3\/6184906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -1\/8*i**4 + 0*i + 1\/6*i**3 - 10*i**2 + 0 - 1\/60*i**5. Determine h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-91.527.\nAnswer: -27.4581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/2 - 3)*0. Find the second derivative of h*s - 2*s - 2*s**3 - s**3 wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 + 16*b + 17. Let o be y(-7). Solve 18 = c - 4*t, t - o*t - 18 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -80*g**4\/3 + 10*g. Let t be v(-5). Round t to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22165 and 837.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2574684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18151 + 18393. What is the remainder when 501 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*11\/22)\/(30\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 2:58 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*y + 1 = -c, 0 = 3*c + 4*y - 29. Suppose -5*t - 3*r = -48, 24 = -0*t + t - 3*r. Suppose 16*a - t*a - 8 = 0. Solve a*j = -c*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6 + 6 + ((-2)\/1 - -116)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -1314054350?\nAnswer: 1314054341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwmwwwww. Give prob of sequence mwww.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-504)\/(-45)*(-5)\/(-2*-2*12\/24)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -45. Suppose -2919 = 12*q - 759. What is the second smallest value in q, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Let n(z) be the first derivative of -z + 6176. Let h(f) = f - 3. Determine o*h(l) - 9*n(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2202144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 25.1, -2\/7, -0.01?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149552*x**3 - 149525*x**3 + 272*x**2 + 137*x**2 + 299074*x**3.\nAnswer: -3*x**3 + 409*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*f + 2. Let g = 10 - 6. Suppose 35 = -b + 4*b - g*o, -5*o - 5 = 4*b. Solve -r - 1 = -u, 5*u - u - b*r = f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 3*k**2 - 2*k - 3. Let o be q(-2). Suppose 7 + 8 = o*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372*3.\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001129 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 20 = 1. Suppose 9 + a = -3*g. Does 14 divide g\/(-2)*(-56)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -148*p**5\/5 + 343*p**3\/3 - 115. Find the third derivative of w(a) wrt a.\nAnswer: -3552*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t**2 - 2*t)*(-4*t**3 + 5*t**3 + 5*t**3) + (2*t - t - 3*t)*(21*t**4 + 18*t**4 - 8*t**4).\nAnswer: -56*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 + -3.94. Let q = t + 0.24. Sort 3\/5, -18, q in increasing order.\nAnswer: -18, q, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4546654 (b) 0.07 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13886430931 - -0.2\nAnswer: 13886430931.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:18 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47440 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**3*m + 5232*f**3 + f**2*m + 6*f*m - 2094*m wrt f?\nAnswer: 6*f*m + 31392*f + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 166, 182, 202?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**7\/14 + q**6\/2 + 9*q**5\/20 - 13*q**4\/4 - 5*q**3 - 23*q + 1. Find u such that p(u) = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 10*o + 78. Let w be v(5). Solve w*b = 55 - 67 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10887, 21613, 32339, 43065, 53791?\nAnswer: 64517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 12 = -7*s. Suppose 0 = -5*y + 3*q + 26, 2*y + 0*y - 16 = s*q. Suppose -y*t = -t - 24. Solve 6*x = 2*x - 3*j - 6, -4*j - t = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -5 + 5 + (-4 - -1) + 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -374*c + 376*c - 260. Which is bigger: 132 or c?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-984)\/(-10) - -2)\/(8\/40). Suppose b = 16*z + 70. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 39 (c) -19\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*k + 5. Which is bigger: k or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 + 4 + (-1437 - -1536).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 p when four letters picked without replacement from {p: 2, e: 2, l: 5}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 642*u + 3774*u + 1900*u + 1959*u as m + b*u and give b.\nAnswer: 8275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 4. Let m = -77852 - -77856. What is the closest to -3 in u, -2\/7, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.06 (c) 1\/2 (d) 178 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 16 + 5*n**2 + 39 - 23*n + 3*n.\nAnswer: 5*(n - 3)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.314 - 17.264. Put 5, 60, c in ascending order.\nAnswer: c, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4993811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -176*d + 347*d + 8*d**3 - 174*d - 3. Let t(z) = -33*z**3 + 13*z + 13. What is 6*t(l) + 26*v(l)?\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 - 6*m + 2. Suppose -2*j + q = -20 - 33, 0 = -3*j + 5*q + 62. Let f = 34 - j. What is the smallest common multiple of y(f) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**4\/4 + 805*j**2\/4 - 585*j + 385 = 0.\nAnswer: -14, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.07 + 0.07. Let j = r - -5. Let h be -2*(-1)\/(-2) + 5. Put j, h, 2\/19 in increasing order.\nAnswer: 2\/19, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15990.6347 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1747867 divided by -275\nAnswer: -158897\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048272008?\nAnswer: 2, 3, 67, 83, 103, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from doysooadaooooa?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 11*p + 5*t - 13 = 0, -7 = 3*p - 5*t. Let u(w) = 118*w**2 + 4*w - 19. Is u(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, -3, 0.0726609, -2, 3?\nAnswer: 0.0726609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3362520 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 4 - 3 + 2*b**3 - 1 - b as x + w*b**2 + t*b + s*b**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (1*(1 + sqrt(162)) + sqrt(162)) - (-3 + 1 + sqrt(162)))**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/5 + 1515947*p - 30318956\/5 = 0 for p.\nAnswer: -7579739, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -17. Let t = -1 - -3. What is the smallest common multiple of r and 5*(-2)\/t*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t + 35. Let i be l(-10). Which is the nearest to 1\/4? (a) i (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7664832871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 61. Suppose v*g - m - 20 = -0*g, g - m - 5 = 0. Solve 11 + 14 = g*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 9) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -4, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17*k + 845. What is the remainder when 1141 is divided by i(46)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/434 and -74\/35.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*d = 42*d + 23 - 233 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/3 - 5*c**2 + 4*c - 562. What is t(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, -35, -403, -1117, -2291, -4039, -6475, -9713?\nAnswer: -13867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 195876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 9*a**2 - 44*a - 68. Let o be g(-12). What is the highest common factor of o and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - 2 - (-4 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 36907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 78 = 9*y. Suppose 4116 = -y*z + 18*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*v - 2 = -v, 3*l - v = -6. Put -38, 2, l in decreasing order.\nAnswer: 2, l, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -50*a - 358. Let l(u) = -25*u - 180. Let j(r) = 13*l(r) - 6*p(r). Calculate the remainder when 197 is divided by j(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**8\/80 + b**6\/90 + 3*b**3\/2 + 7*b**2. Let i(r) be the first derivative of k(r). What is the third derivative of i(m) wrt m?\nAnswer: 504*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65787.73757 + 0.3.\nAnswer: -65787.43757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176 - 126 + 481 + 2*x - 179.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -1037, -1555?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 - 57 + 23*y + (-2 + y + 2)*(0 + 0 - 1).\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + z + 2*z + 1)*(-3 + 15 + 2)*(14*z - 7*z + 9*z + (-7 + 3 + 3)*(4*z - 7*z + 10*z)) to w*z + j*z**2 + i and give j.\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 22*f**2 + 82*f**2 + 0*f**2 + 79*f**2.\nAnswer: 139*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 49*l + 204. Calculate the least common multiple of 42 and b(0).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 5. Let f be p(3). What is the common denominator of 25\/18 and ((-3)\/f)\/((-6)\/(-34))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2044010 (base 5) to base 15\nAnswer: -a23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-5)\/((-10)\/6). Suppose -3*r + 5*l + 31 = -0*r, o*r = 4*l + 30. Suppose -3*h - 26 = -f, 37 + 25 = r*f - h. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 2:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 9 + 9)*(840 - 2637 - 7051 - 7006 - 2289 + 2045) in the form v*t + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2479 = 16*p + 107*p - 2810. Solve b = h + 7, -b - 17 = -38*h + p*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:55 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 361380348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) - 2\/3. Let p(l) = -l**3 - 4*l**2 - l + 3. Let v be p(-3). Let r = 1 + v. Put 0, r, y in descending order.\nAnswer: 0, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose g*x - 1 = 11. Suppose 4*u = -x*u + 462. Calculate the greatest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h**4 + 4*h**3 + 4*h**2 - 10*h + 4. Let x(o) = -o**4 + o**3 + o**2 + 1. Let l(f) = -3*d(f) + 12*x(f). Find the second derivative of l(n) wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -9*f**5\/140 - 37*f**4\/56 + 23*f**3\/7 - 61*f**2 + 3*f. Factor b(w).\nAnswer: -3*(w - 1)*(9*w + 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:32 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f - 533. Calculate w(20).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-40))\/((-6)\/(-16))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(1 + 0) - -12. Let x = k + -1. Calculate the highest common factor of 120 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, -214, -1, -3\/8, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/46)*s)**30*(s*s*s**(2\/131))\/s**(-6\/25) assuming s is positive.\nAnswer: s**(4738503\/75325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 30 (b) -0.0328 (c) -109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -6912 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3347709 != -3347678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*c + 121*c + 116*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516 is divided by 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -555 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*v*y**4 + v*y**2 + 2*y**4 - 42*y**2 + y wrt y?\nAnswer: 384*v*y + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 10 + 25 + 15 - 4*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 4*f - 7*f + (-8 - 2 + 1)*(-9*f + 11 - 11))*(-f + 2*f - 5*f).\nAnswer: -316*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**4 + m**4 - 5*m**4 + (-1 + 0 - 1)*(6*m - 6*m + 4*m**4).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0095 in 0.02, 2\/3, 0.4, -2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1+1596550160468\nAnswer: 1596550160467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/897 and 34\/15?\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*f + 322, 4*z - 576 = -5*f + 42. Let k = -71 + z. Let m = 37 - k. Is m equal to -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30.1 times 24\nAnswer: 722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026155.\nAnswer: 5, 13, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.071 (b) -0.9 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/20 + (-64)\/(-10). Solve 23*a - 60 = -f*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2 + sqrt(13))*-5*-5.\nAnswer: 75*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 5. Let p(l) = -3*l + 10. Calculate 7*f(y) - 4*p(y).\nAnswer: -2*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 18, 48, 90, 144?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - p + 24, b - 10 = -2*b + 5*b - p for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3351 - -2205. Suppose h + 3691 = 2*p, -9*h + 4*h + z = 3*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -34*h + 96. Calculate r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/11 - 7274*v**3\/11 - 6829908*v**2\/11 - 173636456*v + 349761808 = 0. Calculate v.\nAnswer: -2363, -638, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:21 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206\/3 - -69. Factor -v*r**2 + 1\/3 + 0*r.\nAnswer: -(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-82)\/28 - (-57)\/(-798). What is the nearest to 2 in 3, -0.2, j, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:36 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:16 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 4*y**3\/3 + 6*y**2 + 18*y + 56. Let w be z(-2). Is w less than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmrrmmm. Give prob of picking 4 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 730*b*y**2 - 3683*b*y - 118*b - 4*y + 87513 wrt y?\nAnswer: 1460*b*y - 3683*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*g**4 + 16*g**2 - 32*g - 812?\nAnswer: 12*g**3 + 32*g - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**2\/2 - 4*x + 17. Let j(o) = -4*o + 5. Suppose -3*a + 3*v = 6, 2*v - 3 = 3*a - 2*v. Determine a*i(f) - 4*j(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1836, 1848, 1872, 1914, 1980, 2076?\nAnswer: 2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 677 = -39*d + 303 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -989, -1946, -2877, -3770, -4613, -5394, -6101?\n\"Answer: 2*l**3 + l**2 - 974*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10021 - 6438. Does 49 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by 597?\nAnswer: 80\/597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15652388 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r + 20. Let x(f) = -f + 3. Let l(y) = w(y) - 6*x(y). Suppose 2 = -q - q + u, -5*u = 4*q + 4. Calculate l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64881 (base 10) to base 15\nAnswer: 14356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 9*w + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -1, 2\/13, 5\/34 in descending order.\nAnswer: 2\/13, 5\/34, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2124189900 to the nearest one million.\nAnswer: 2124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 9:26 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 8*u + 11800000. What is u rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39, 67, 87, 99?\n\"Answer: -4*f**2 + 40*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/48*(-1188)\/(-144)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 3*h - 45, 2*l - 30 - 7 = 5*h. Solve -1 = -w - i + 1, l = -2*w + 2*i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 188651.350556 and -14.\nAnswer: 188637.350556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -92063 - -2?\nAnswer: -92061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a72 (base 15) in base 2?\nAnswer: 10011100001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/215749 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55361905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12561 and 0.96?\nAnswer: 12560.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*h*m**4 + h*m**2*z + 272*h*m*z + 2*h*z - 3*m**3 + 2*m wrt m?\nAnswer: 672*h*m**2 + 2*h*z - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x + 180 - 180.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from {n: 6, a: 5, d: 2}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + -104240102?\nAnswer: -104240222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 8. Let o(c) = 6*c**3 + c**2 - c. Let a be o(1). What is the remainder when 24 is divided by 40\/3 - x\/a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*f + 8. Let r(c) = 306318*c**2 - 4 + 4 - 5*c - 92430*c**2 + 2. Let a be r(f). Round a to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*m**3 + 15*m**3 - 63*m**3 + 13*m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (456008*i**3 + 1062*i**4 - 456008*i**3)*(23*i + 224 - 224).\nAnswer: 24426*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)\/(a*a*a**(-7)*a))\/(a\/(a\/a**0))**(4\/15) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*r - 444 - 306. Is 10 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8248 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 72*s**2 - 35*s. Let a(n) = 109*n**2 - 53*n. Let k(j) = 5*a(j) - 7*g(j). What is the second derivative of k(l) wrt l?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 320 = 410 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 9*m - 20. What is c(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2 - 2*z + 2. Suppose -18 + 26 = -2*v. Let f(a) = -9*a**2 - 3*a + 4. What is v*f(l) + 7*i(l)?\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((0 + sqrt(700) - sqrt(700)) + sqrt(700) + -4 + (sqrt(700) - (sqrt(700) + sqrt(700)*-2 + -3)))**2)*6.\nAnswer: -360*sqrt(7) + 37794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k = -40*k - 3*j - 7987, 0 = 3*k + 2*j - 11987. Is k a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, q: 5, b: 5, a: 1}. Give prob of sequence qbkk.\nAnswer: 25\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 597245543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, y: 5, a: 5}. What is prob of picking 2 s?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 876*a + 11018. Calculate p(-12).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*l = -13, 0 = -k - 2*l + 4 - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1171740?\nAnswer: 2, 3, 5, 59, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + -14 + (-2 - -6 - (5 - 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 + -10147247?\nAnswer: -10147268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -354432400 to the nearest one hundred thousand.\nAnswer: -354400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 less than -2944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66444 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abi when three letters picked without replacement from {e: 1, b: 1, a: 1, c: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (53 - (31 + -8)) - (4 + 1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.168019 + -1642?\nAnswer: -1642.168019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724964203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - 239 + 4 - 28*f**3 + f + 235.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + s - 4*s = -208, -3*b - 5*s = -156. Let d(j) = j. Let p be d(3). Suppose -p*w - 3*v + 57 = 0, 4*w = -3*v + 5*v + b. Solve 0 = 2*o + o + w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*a = -153, -3*a - a + 82 = 2*s. Suppose 0 = -w + 80 + s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 4*r - 22, 2*l - 4 = 2*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11100000100000100011000 (base 2) to base 13\nAnswer: -16a7699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 1:37 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) -121 (c) -3877\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 2*y + 3. Let p be r(2). Suppose 2*j - p*j = -40. Suppose -g + 5*g = j. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -3 (c) 22 (d) 3 (e) 7\/9 (f) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -9. Suppose -190*o + 15270 = -24250. Calculate the greatest common factor of o and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -152, -512, -1214, -2372?\nAnswer: -4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/9*0 + (-19 - -29). Solve 4*l = b + 5 + o, b + 3*l = 13 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*i + 91 = -0*o, 5*o = 3*i + 238. Let x be 9 + -1 - (-75)\/(-15). Let -2*h**2 + 52 - x*h**2 - o = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -167, -255, -343?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000099767703 rounded to 7 decimal places?\nAnswer: 0.0000998","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*m + 9. Let s be (-58)\/10 + m\/(-10). Let g(j) = -5*j - 7. Let h(r) = -6 + 0*r - 2*r + 0*r - 2*r. Calculate s*h(v) + 5*g(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 23*a**2 + 361*a - 6629. Give v(-27).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwejwjwjewwjwew. What is prob of picking 3 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -64.044 - -0.044. Let s = -2865.99 + 2801.9912. Let l = n - s. What is l rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 0.22, -2\/5, 3, -8, 6 in increasing order.\nAnswer: -8, -5, -3, -2\/5, 0.22, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 5*n - 5. Let i be j(7). Suppose -24 - 6 = -w. Let y = i - w. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -75, -140, -195, -240, -275, -300?\n\"Answer: 5*g**2 - 80*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 2*r + r)*(6268 + 2908 + 5482 - 95 + 692) in the form s + w*r and give w.\nAnswer: -30510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1822, -6606, -14588, -25774, -40170?\nAnswer: -57782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*q - 48 = t, -12 = t - 5*q. Suppose -11 = u - 8. Is u\/18 - 230\/t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/172 + (-9102)\/(-119884))\/((-10)\/(-180))?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*z - 14, 3*r - 3*z + 43 = 37. Is r > -5\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 164. Find the common denominator of -3*(f\/396 + 8\/36) and -21\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92446635?\nAnswer: 3, 5, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w - w + 3*w)*(4*w - 3*w + w) + 7*w**2 + 2*w**2 - w**2)*(-4*w**3 + 2*w**3 + w**3 + (-5*w + 0*w + w)*(-5*w**2 + 2*w**2 + 4*w**2)).\nAnswer: -60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31185*z**3 + 20027*z**2?\nAnswer: -187110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-4))\/((-21)\/(-28)). Suppose 0 = -b*w - 2 - 0. Is 1 + w + -1 + 536 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 5:34 PM and 4:34 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3936 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:59 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2285, -4529, -6727, -8855, -10889, -12805, -14579, -16187?\n\"Answer: 4*a**3 - a**2 - 2269*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from ddadadd?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 0.018, -28406?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558884 is divided by 1609.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*j + 13 = 488*j + 5*q, 0 = -q + 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inigrnixrginnigin. Give prob of picking 2 g and 1 r.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**2. Let r(q) be the third derivative of -q**5\/60 - 6*q**2. Calculate r(l(u)).\nAnswer: -169*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 10 = -18. Let m be 1\/3*3 + p. Suppose 0 = -4*v + 8, 3*q - v - 7 = m*v. Solve -4*n = a + q, 2*n = -a + 4*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*1*-2)\/(-5*sqrt(150))*-3 + 1)**2.\nAnswer: -12*sqrt(2)\/25 + 697\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*d**4*y - 2*d**3*y**2 + 4*d*y - 45*y**2 wrt d.\nAnswer: 948*d**2*y - 12*d*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.7. Let n = 17.1 + -12.2. Let r = 3.1 + n. Which is the third smallest value? (a) r (b) s (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-974)\/(-2) - (-1 + -5 - -2). Suppose 4*h - 2*v = -v + 400, -v + s = 5*h. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/7))**(-47\/2)*z**(-2\/5)\/((z*z**(6\/5))\/z*z) assuming z is positive.\nAnswer: z**(144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhxxhidhmdxx. Give prob of sequence im.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*x + 11, -3*a + 2*x = -a + 10. Is 3\/a*(-10*1 + -2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(42\/77))\/(6*(-6)\/216).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -12*s + 17*s. Suppose -46*g - 945 = -s*g. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*r + 288 - 723 = 447 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**3\/9 - 6*b**2 + 1354*b\/9 + 156 = 0.\nAnswer: -26, -1, 27\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - ((-4 + 1 - (46 - 56)) + 5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/15 - -13\/30. What is the nearest to p in 40, 5, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 + 2. Let j(d) = -d**3 - 2*d**2 - d. Let v(l) = 12*l**3 + 17*l**2 + 10*l + 3. Let t(r) = 10*j(r) + v(r). Give 10*q(s) - 6*t(s).\nAnswer: -2*s**3 - 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p + 1. Let d(k) = -2*k + 8*k - 2 + 3. Suppose -3*w = -6*w + 3*s - 9, -w - 2*s = 6. Let g be 3 + 4*8\/w. Calculate g*d(v) + 4*n(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 1. Let b = 3 - 4. Let h be n(b). What is the units digit of (-6)\/h*4\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 238*q - 97 wrt q.\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310 - 327. Which is the nearest to 0.08? (a) -2 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21135 and 71905497?\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -0.5, -4, 31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 + 57 = -3*h. Let u = 400\/7 + h. Let m be -1 + (-16 - 0)\/4. Put m, 1, u, 0 in ascending order.\nAnswer: m, 0, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38431 or -2?\nAnswer: 38431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*w - 9*w + 5*s, -31 = -5*w + 3*s. Solve -k - 2*d + 2 = -w, 3*d - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1467 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (908164\/23487)\/((-10)\/3).\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3839115 litres to millilitres.\nAnswer: 383.9115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10e08 (base 16) to base 6\nAnswer: 1252012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1913, -23, -2 in ascending order.\nAnswer: -1913, -23, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 373*m + 3435 - 25442. Calculate the remainder when 278 is divided by m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337643123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -4. Let n be 45\/60*40\/75. Let t = -20 - -20. Which is the nearest to t? (a) s (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2420 and 26752.\nAnswer: 1471360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6214 divide 4587199759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**2 + d + 2. Let n be (-1 - (0 - 0))*-5. Suppose 0*q + n = q. Suppose -q*r = -2*r + 9. Let i(y) = -4*y**2 - y - 1. Determine r*u(w) - 5*i(w).\nAnswer: -w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 - 5*w + 2. Let m be f(5). Suppose 2*i = -5*n + 8, 4*i + 0 = n - 6. Which is the nearest to i? (a) m (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48443 = -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, j: 5}. What is prob of sequence hjh?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*w = -6, -i + 3 = -4*w - 0. Put i, 27, -3 in descending order.\nAnswer: 27, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from lmlltttltllttllmmml.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75365493, -150730988, -226096483, -301461978?\nAnswer: -376827473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 4:36 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -116495.\nAnswer: 46598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.024166 + 0.024166. Let r be 7\/((-147)\/(-36)) + -2. What is the nearest to -2\/5 in r, 2\/13, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*7\/7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u**3 + 5*u + 13. List the prime factors of i(-4).\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*z + 8 = 0, -4*z - 18 = 449*p - 447*p. Solve 41*q - p = -46 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -10. Let g be ((-43)\/(774\/216))\/(-3 + 2 + -1). Solve -b + 7 = -q, d - g = -5*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86136689*k - 86136689*k + 5*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*b + 1621 = -5659 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2. Let c(s) = s + 3. Let u(b) = -4*b - 10. Let f(g) = -10*c(g) - 3*u(g). Determine q(f(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2061*l**3 - 21*l + 2060*l**3 - 3*l.\nAnswer: -l**3 - 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, w: 5, g: 1, u: 1}. What is prob of sequence bg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/21 + (-30)\/(-7). Suppose 0 = -4*v + 3*l - 62, 2*l - l = 4*v + 66. Let h = v - -22. Is h less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {o: 2, b: 1, n: 4, u: 3, k: 3, e: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6284 divided by 11446?\nAnswer: -3142\/5723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/25)\/(4\/10). Suppose -5*p - 99 = -z*p. What is the common denominator of -11\/8 and 6 + -4 - p\/(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2 + 11*y - 32. Let l(u) = 3*u**2 - 12*u + 32. Let m(x) = -4*l(x) - 5*z(x). Let s be m(6). Calculate the highest common factor of s and 784.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5366 + 5369. What is the remainder when 177 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.239 - 6.6774. Round u to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 10 = 5*d, -4*g + d + 0*d - 2 = 0. Suppose -2*x = -g*x - 4. Let h = 65 + x. Round h to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 21*p - 53. Let a(m) = -10*m + 25. Determine 13*a(q) + 6*j(q).\nAnswer: -6*q**2 - 4*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/10 + -29\/60. Let q(l) be the first derivative of -1\/2*l**2 - 7\/9*l**3 + 0*l - 1\/15*l**5 + 5 - r*l**4. Find o such that q(o) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132)*2 + sqrt(132) - sqrt(132))*-3)\/((sqrt(132)*-2 + sqrt(132))\/sqrt(11)*3).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (35\/(-15))\/(1008\/(-135) - -7). Put -4, 4, 2, y, 50 in descending order.\nAnswer: 50, y, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 6 = -4*a. Let d(y) = 21 - 1 - a - 11. Let v(h) = h - 4. Determine -5*d(f) - v(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 3)*-5 + sqrt(99) - (1 + sqrt(99))*4 - 5*((sqrt(99) - (sqrt(99) + 1)*6) + sqrt(99) - (sqrt(99) - (1 + sqrt(99)))*2))**2.\nAnswer: 72*sqrt(11) + 14257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116.03109 days to weeks.\nAnswer: 16.57587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6 = 2*z + 8, 2*b = -3*z + 11. Suppose -17 = -5*t + 28. Suppose t = -b*c + 49. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16186, 17911, 20786, 24811?\nAnswer: 29986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 742193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72549 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6262956323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 417 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164067, -655000, -1473223, -2618736?\nAnswer: -4091539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-5) - 306\/90\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10332 - 10330. Solve 2*x + 4 = -n*c, -21*x - 20 = -17*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/20)\/((-21)\/35). Let z(b) = 3 + 5*b**2 - w + 3*b + 3*b**2 - 7*b**2. What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -105. Let h = 72 - l. Is h\/(-4 + (-165)\/(-42)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*s + 34, -98*i = -66*i - 33*i - 5*s - 42 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53550421553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2717 is divided by 193.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9543 is divided by 2211.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*y = 5 + 19, 5*d - 9 = 2*y. What is the highest common factor of d and 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610674.\nAnswer: 2, 3, 17, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 4*m**5\/5 + 11*m**4 + 24*m**3 + 96. Find s, given that t(s) = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848562398.\nAnswer: 2, 3, 101, 112979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278 at least 6832\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/(a*a*a**7\/a)*((a**(2\/11)*a*a)\/a)\/a*a**(-5\/2)*(a*(a**(-12)*a)\/a*a*a**(-2\/5))**(24\/13) assuming a is positive.\nAnswer: a**(-3137\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 4*v. Suppose -3*g + v*g = -6. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 4*x - 11. What is j(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -v - 5*g, -3*v - 5*g + 81 = -2*g. Suppose -p = v - 138. Does 37 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194\/9 at most -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 315 - 2117?\nAnswer: -1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59703.33 years to decades.\nAnswer: 5970.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -26*w - 10 - 18*w + 88*w. What is the units digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2)\/((-3)\/(-15)). Let r = -0.1 + 0.23. Let i = -0.33 + r. Which is the nearest to i? (a) -2\/5 (b) 0.2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1468, 1465, 1460, 1453, 1444?\n\"Answer: -j**2 + 1469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - a85b8?\nAnswer: -a85bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -425 and -6.9732.\nAnswer: 2963.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffc when three letters picked without replacement from ggwagacwwfww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, a: 1, j: 11}. What is prob of sequence jk?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3968 and 145\/192.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 456\/71 - 38288\/213. Let m = s + 175. Sort m, -10, -2 in ascending order.\nAnswer: -10, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.85 and -237170?\nAnswer: -201594.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14831 (base 10) to base 13.\nAnswer: -699b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*p = -2*k - 8, -p = -3*k - 10. Let l be k*(-3)\/6 - -2. Suppose -4*j - 8 = -l*s, -5*j - s = 3*s - 8. Solve 3*c - 3 = c - u, j = 3*c + u - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 828, 4079, 9678, 17625, 27920?\n\"Answer: 1174*l**2 - 271*l - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111000 (base 2) in base 3?\nAnswer: 20211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3\/5 - 86*q**2\/5 + 1976*q\/5 + 11520 = 0. Calculate q.\nAnswer: -100, -18, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21653 at most 21652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**2 - 3. Let f(c) be the third derivative of -c**4\/3 - 51*c**2. Determine w(f(s)).\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70839, 141715, 212591, 283467, 354343, 425219?\n\"Answer: 70876*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((5145\/150)\/(-49))\/(105\/30))\/(37\/(-10))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3069654023 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*g + l - 9, 2*l = -5*g + 16. Let u = -4 - -4. Let v(w) = 4*w**2 + 0*w**3 - 3*w - w**3 + 1 + u*w**3. Give v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4019940401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2785.\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213270.\nAnswer: 2, 3, 5, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, 0.5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -247, 124, 15, -1, 2, 0.5 in increasing order.\nAnswer: -247, -3, -1, 0.5, 2, 15, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**7\/840 + i**5\/30 - i**4\/4 - 3*i. Let c(r) be the third derivative of n(r). What is the first derivative of c(g) wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l + 51*l**2 - 56*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1646 and 36\/5?\nAnswer: 8230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(4\/9)))\/y**(-4\/11)*y**(-4\/7)*(y**(-1\/16)\/y*y)\/y assuming y is positive.\nAnswer: y**(-9157\/11088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 2*p - 58, -1571354*p = -5*t - 1571353*p - 299 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (27\/36)\/((-3)\/(-20)). Solve 6 = -3*l - b, 6 = -t*l + 2*b - 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -266900635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-15) + 3304\/28320. Sort 4, 2\/17, b, 3, -18 in descending order.\nAnswer: 4, 3, 2\/17, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*v - 7, 4*v + 2*j - 1 = -j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 9:27 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1021348 and 0.5?\nAnswer: 0.0510674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/22 and (-97)\/(-22) + 0\/(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 10 + -30 + -16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.167 - -8.833. Put -3\/5, f, -2\/3, -0.4 in descending order.\nAnswer: f, -0.4, -3\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 13 - (185 - 155)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 28. Calculate the remainder when p(0) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-9 - -3) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 + 12*i - 23. Let s(h) = 9*h**2 - 20*h + 46. Determine -3*s(a) - 5*u(a).\nAnswer: -2*a**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 10*g**2 + 6*g - 14. Let y be o(-9). Let a = 280 + y. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 + -9b2?\nAnswer: -a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 7. Let n be f(-5). What is the greatest common divisor of n and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 2:10 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**5 - 180*d**3 + 153534*d**2 - 111571277*d?\nAnswer: -80*d**3 - 1080*d + 307068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29925 and 380.\nAnswer: 119700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/9)\/a)**(-19) assuming a is positive.\nAnswer: a**(247\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5157 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9338448 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 9:50 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*l + 22768, 8*l - 6*l - 45552 = -4*z. What are the prime factors of z?\nAnswer: 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 210, 3\/340, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-80)\/(-70))\/((-4)\/(-14)). Let a = -7 + 4. What is the third smallest value in v, 1\/9, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 104131 and 101297 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 33*x**2 + 85*x - 1. Give c(-30).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1014, 1030, 1046, 1062, 1078?\n\"Answer: 16*q + 998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -6893\/4 > -1724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 15*c**2\/2 + 1. Let q(h) = -2*h**2 - 4*h. Let y(l) = -16 + 16 - l. Let z(a) = -q(a) + 4*y(a). What is w(z(j))?\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 287.680183 rounded to one dp?\nAnswer: 287.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 10\/77 (b) 1 (c) -6.3 (d) 0.4 (e) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2018*31118.\nAnswer: -62796124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 65, 134, 241, 392, 593, 850?\nAnswer: 1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 12:26 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 10:42 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 3, 337, -1.\nAnswer: -5, -1, 0, 3, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29503663 and -0.024.\nAnswer: 29503662.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -188 at least -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115.065 + -0.065. Let d = 115.348 - b. Round d to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4\/7 (b) 3 (c) -106\/5 (d) 14 (e) -6\/11 (f) -4 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 486, 1690, 4084, 8064, 14026?\n\"Answer: 66*a**3 + a**2 - 55*a + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 2*d**2 - 7*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 58 + 98 = 0. Calculate the highest common divisor of 130 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17497167.\nAnswer: 3, 5832389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101202 - -2?\nAnswer: -101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.417, 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:53 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -8 + 15 + 250 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3851, -0.5, -1\/6?\nAnswer: 3851","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 191296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20 and 11\/2120.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 3*d + 45. Let w be c(0). Suppose k = -5*z + w, -2*z + 10 = 3*z. What is the smallest common multiple of 6 and k?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14528 and 2595064?\nAnswer: 20760512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*c = 4*c - 89, 202 = -2*k - 2*c. Let l = k - -602. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 53*f**2 + 25*f + 49. Let r be l(27). Suppose -3*x + 14 = -5*i + x, -i = -4*x + 6. Put 1, i, r in descending order.\nAnswer: 1, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**3\/3 + 21*p**2\/2 - 10*p + 9. Let h be d(8). Is h*(-5)\/(-4 + -6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05933 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from esukkiiiiss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/129 bigger than -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 - 16*o**2 + 3*o - 29. Let p(c) = -c**3 + c**2 + 1. Let b(q) = 6*p(q) + u(q). Let a be b(-11). What is the greatest common factor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105648 and 52824.\nAnswer: 105648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 11*x**3 + 7*x**2 + 11*x + 9. Let h = 2626 + -2619. Let k(v) = 5*v**3 + 3*v**2 + 5*v + 4. What is h*k(b) - 3*m(b)?\nAnswer: 2*b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 3663*q + 69 + 3656*q + 2*q**2 - 7313*q as s + u*q**2 + c*q + v*q**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7. Suppose 5*l - 3*l - 10 = q. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 less than or equal to 542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337292 is divided by 88.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, o: 2, v: 4}. What is prob of sequence ovo?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 7. Let q be j(-10). Suppose 3*m = -3*v + 9, -4*v = -2*v - m + q. Solve v = -0*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 231.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 682247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278864 is divided by 77?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Suppose -5*q + 4 = -1, -2*h - 4*q - 86 = 0. Let i = h - -41. Let k(z) = 4*z + 5. What is i*k(c) + 18*v(c)?\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, and 1 x when three letters picked without replacement from {z: 2, x: 4, s: 1}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17125 - -22.2153.\nAnswer: 17147.2153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*k + 4*y, -4*k + 6 = -3*k - 3*y. What is the derivative of -50 - o + 25 + o - 24*o**k wrt o?\nAnswer: -72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -9*w + 130. What is g(17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.754438086 rounded to five decimal places?\nAnswer: -0.75444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - -0.68. Let h = 39 - 34.4. Let n = h - y. Which is the nearest to -2? (a) n (b) -1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 10. Suppose k = -a + 23. What is the smallest common multiple of k and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(300) + 1 + (1 + sqrt(300) - sqrt(300)))*-6 + 1 + (5*(-6*3*sqrt(300) - sqrt(300)))**2.\nAnswer: -120*sqrt(3) + 2707477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 111.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677*f + 339*f + 337*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43, 2\/5, 1\/5, 1\/6, 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 4, 75 in increasing order.\nAnswer: 4, 32, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 2*i - 107*i**2 + 96*i**2. Let x(l) = -4 + 2*l**2 + 4. What is x(c(g))?\nAnswer: 242*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4986.5336 + -4983. Let s = -81 + 77.5. Let z = s + h. Round z to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-15)*1*135. Suppose -5 = -4*b + 7. Suppose v = z + z + p, 0 = -b*z + 4*p + 138. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2582409925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9886, 78941, 266298, 631087, 1232438, 2129481?\n\"Answer: 9855*f**3 + 21*f**2 + 7*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202552 + 8735 = -17*u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 10*q - n - 5, 5*q - 5 = n. Sort q, -2\/9, 268, 0.3 in ascending order.\nAnswer: -2\/9, q, 0.3, 268","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 72636 - 72636 - 781*j in the form a*j + z and give a.\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -108*b**3*f**5 - 6*b**3*f**3 + 2568*b**3*f wrt f?\nAnswer: -2160*b**3*f**3 - 36*b**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffhxfkfkhhfffffhhxhf. What is prob of sequence fk?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -c - 10, 3*c + 3*o = c + 16. Suppose -40 = x - c. Let s = -2122 + 2122.1. Do x and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.071, -1, 15, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**3 + 3*u + 2. Let x(r) = 7*r**2 + 1384*r + 12. Let l(b) = 6*c(b) - x(b). What is the second derivative of l(n) wrt n?\nAnswer: 72*n - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2702?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)\/o**(-4))**(1\/14))**32 assuming o is positive.\nAnswer: o**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 9 = 3*l, 5*t + 5*l + 7 = -3. Let m(a) = 26*a + 28. Let f be m(-1). Solve 0 = t*q - f - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15165, -30329, -45493, -60657, -75821?\n\"Answer: -15164*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 - 417*v**4 + 3567*v**3 + 5313*v**2 - 61740*v = 0 for v.\nAnswer: -147, -4, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(58 + 61 - 42)*(-3*q - 2*q + 7*q).\nAnswer: 308*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13\/19 (b) -5 (c) -8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91822 times 13605?\nAnswer: 1249238310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -3) + (-29 - (-108 - -67)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 185*o**2 - 6289*o - 13375. Give m(36).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 22*s**2 - 66. Let z(y) be the second derivative of y**2\/2 + 38*y. Let h(t) = u(t) + 66*z(t). Let x(f) = 3*f. Calculate x(h(b)).\nAnswer: 66*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1165 * 28.\nAnswer: 32620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 197352.693 microseconds to days.\nAnswer: 0.0000022841746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.17825ml to litres.\nAnswer: 0.03717825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 555 = -n, 333 = 2*l + l + n. Let o = l - 106. Solve f = -4*f - o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/43? (a) 17 (b) 0.4 (c) 153 (d) 5 (e) -0.4 (f) -2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-452959.4.\nAnswer: 2717756.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758793 - 106*r**3 - 758793 + 62*r**3.\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 13830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 16. Let a be y(-11). Is (-103417)\/(-114) - 1\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 812 and 691556.\nAnswer: 140385868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -548*m - 29589. Let d be x(-54). What is g in -4\/9 - 2*g + 14\/9*g**4 + 2*g**d - 10\/9*g**2 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 - 3*v**2 + 4*v**2 + (2*v + 3*v - 4*v)*(-v + 0*v + 0*v))*(8 - 10 - 4).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + 5, 5*q - 25 = -14*g + 13*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, 1, 20, 59, 124, 221, 356?\n\"Answer: c**3 + c**2 - 5*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-5))\/(2\/5). Let l be -25*42\/(-1575)*(-1)\/(-2). Which is the nearest to h? (a) l (b) -27 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) - (sqrt(63) + sqrt(63) + 1))) + sqrt(7) - (4*sqrt(1008))**2.\nAnswer: -16127 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 2. Let y be 3\/(u\/12 - 1). Let r = y - -6. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5212704 and 133\/48.\nAnswer: 5212704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*1*-1 - -3*(sqrt(204) + sqrt(204)*1))\/(1*sqrt(300)*3 - sqrt(300) - sqrt(300)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 2 - 18, 2 + 6 = 5*u + 2*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 10 + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(1\/12*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145 + 144.91. Which is the nearest to 1? (a) i (b) 4\/9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*q + 523 - 5 = 0, 5*q + 645 = -5*s. Let z = -76 - s. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1519.652 and 2.561.\nAnswer: 1522.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 113\/3390 + (-17)\/(-15) + -1.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2155)\/(-1724)*12\/(-10))\/((-6)\/(-22))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 70. Let r = d + -14. Let l = r - -2. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3831 - 3522. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7280 divided by 40.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*2 - (-2 - -2 - -2). Find the third derivative of 188*k**2 - 144*k**l + 14*k**3 - 77*k**2 + 145*k**4 wrt k.\nAnswer: 24*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 - -69. Suppose r*o + 3 = 4*o. What is the third derivative of 5*k**2 + 17*k**2 + 19*k - 23*k**o - 19*k wrt k?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 979013380 to the nearest integer?\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 1004*a + 1000.\nAnswer: 4*(a + 1)*(a + 250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 33*c = -84 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2)\/((-2)\/8). Let d be (21 + 1)*(y - 0). Let z be 4 + -2 - d\/21. Sort 1\/3, z, 5 in increasing order.\nAnswer: z, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p**3 - 11*p**2 + 18*p - 1. Let k(m) = -5*m**3 + 5*m**2 - 9*m + 1. Let f(g) = 7*k(g) + 4*w(g). Let v be (-637)\/(-77) + (-36)\/132. What is f(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -64. Suppose -2*r - 5*b = -5*r - 1, 4*r - b - 10 = 0. Calculate the highest common divisor of r and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770823061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6138, -6136, -6134, -6132, -6130?\n\"Answer: 2*r - 6140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-5)*s*s*s**(-5\/3)\/s*s**(2\/5)*((s*s\/s**3)\/s)\/s)\/(s**(1\/2)\/(s*s**(-6)))**(-2\/27) assuming s is positive.\nAnswer: s**(-926\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*i**3 + i + 7*i**4 - 2 + 0 + 5*i**3 - i**4 in the form o*i + u*i**2 + p + w*i**4 + l*i**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/3 + -8\/3. Let y = 13 - 18. Let l = 157 - 155. Put l, r, y in descending order.\nAnswer: l, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 12 = -y, y + 3 + 0 = 2*c. Find the second derivative of -53*u**3 + 36*u + 18*u + 9*u - 30*u**y wrt u.\nAnswer: -498*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547741162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 69743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 10. Let k be o(0). Let g = k - -80. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434204 to the power of 1\/2, to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d = 10 - 1180 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**3 + 88*f**2 + 88*f + 169. Let i be j(45). Are 2004\/25 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 3 + 50*h + 27\/11*h**2 + 17\/55*h**5 - 1\/77*h**7 - 21\/11*h**3 - h**4 + 7\/165*h**6. Suppose l(d) = 0. What is d?\nAnswer: -3, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -571, -572, -573, -574?\n\"Answer: -b - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(1\/2)*r**(-1\/9))\/(r**(-1\/27)*r**(-14\/3)*r))**(-16) assuming r is positive.\nAnswer: r**(-2200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*t - 4*o, -34*t + 5*o = -32*t - 29 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 10 - 3)*(-5 + 8 - 5)*(5*p**2 - 2*p**2 + 17*p**2) to m*p + q + r*p**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 945619765 to the power of 1\/2, to the nearest integer?\nAnswer: 30751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5988966 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 371 times 1.8\nAnswer: 667.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-300))\/(((-20)\/6)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 25. What is the greatest common divisor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/143108 and 115\/26863416.\nAnswer: 188043912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.15 - -4.85. Which is the nearest to 1? (a) m (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 - -0.01. Let r = -0.5 - d. Let g = 55 + -52. Which is the second biggest value? (a) 2 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -9. Let t be 2\/20*-4*h. Is 3 + (-54)\/(-1 + t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048488 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + k**3 + 0*k**3 + (6905 - 6905 + 72*k)*(-k**2 - k**2 + k**2).\nAnswer: -71*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.47 and -243279448928.\nAnswer: -243279448927.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2*q + 5. Let v(b) = b**2 + 7*b + 4. Let z(i) = i**3 + 3*i**2 - i + 5. Let h be z(-4). Let o be v(h). List the prime factors of u(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55194, -110389, -165584, -220779, -275974?\n\"Answer: -55195*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose -720 = -3*k + c*n, -n = n + 4. What is k rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.61818m to nanometers.\nAnswer: 82618180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000576 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 - (-1096)\/10. Let b = -107 + w. Suppose 0 = b*d + 8 - 2. What is the third biggest value in -55, -4, d?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = 2*b + 5*g, -5*b + 3*g = -22. Let q be (-3)\/(-6)*b*81. Let z = 137 - q. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/2 - (-5)\/10. Suppose 7 = -6*j + y*j. Suppose j*d + 15 = 2*d. Which is the nearest to d? (a) -1 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**3\/3 + 9. Let h(t) = -19*t**2. Calculate h(l(z)).\nAnswer: -76*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h**2 - 4*h**2 - 2 + 2*h**2 - 2*h. Let t be g(2). Suppose t*w = 13*w + 20. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4230 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -139085?\nAnswer: -139085.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 12) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516839547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.123 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3550664 and 31408?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**2 - 2*l**2 - 3*l**3 + (17 + 5*l**2 - 17)*(-l + l + 3*l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-87 - -11)\/19*-2\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 6*j + 610. Let h be 1\/4 - j\/(-8). What are the prime factors of 3\/h - 46\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 150*v - 3577. What is j(24)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of ((-15213)\/(-44))\/(-69*1\/(-60) - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24795, 48676, 72557, 96438, 120319, 144200?\n\"Answer: 23881*r + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-15))\/y)\/(y\/y**(-14)*y))\/(((((y*y\/((y\/(y**(1\/5)\/y))\/y)*y)\/y*y)\/y)\/y)\/y*y\/y**11))**(1\/20) assuming y is positive.\nAnswer: y**(-101\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/14*4 + 4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -187, -978, -2305, -4168, -6567?\n\"Answer: -268*h**2 + 13*h + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 150 = -2*u - 15*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 25*g - 21*g + 13, -3*s + 9 = -2*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/112 and 69\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s**4\/4 - 13*s**3 + 216*s**2 - 972*s - 2916 = 0. What is s?\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6631 - 6632. Which is the third biggest value? (a) -1\/4 (b) u (c) -0.5 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -32. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0172 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 8) + 4 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41510101 + 1131?\nAnswer: -41504530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*x**2 + x**2 - x**2)*(477 - 167 + 607)*(1 - 1 - 1)*(21 - 52 + 3*x + 25) to the form p*x**3 + w*x + r*x**2 + u and give p.\nAnswer: 5502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 8*g)*(2*g**2 + 3 - 3) + (3*g**2 - g**2 - 3*g**2)*(3*g + g - 3*g) + (-2*g - g + g)*(-3*g**2 + 3*g**2 - 2*g**2).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 461 - 17055\/37. Let g be (-1 + 1)*(4 + -3). Is v less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1004*a - 1002*a - 288578 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 612 and 88?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/((-2016)\/(-666870))*2\/(-20). Let u = n + 1776\/7. Find the common denominator of ((-2)\/(-1))\/((-20)\/(-21)) and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**4\/12 + z**3 - z**2\/2 + 20*z. Let f be r(6). Which is the third biggest value? (a) 2\/7 (b) -1\/3 (c) -0.2 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178509819 to the power of 1\/2, to the nearest integer?\nAnswer: 13361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-14))\/((-1)\/6). Let g = 625 - 625. What is the third smallest value in 3, p, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 4, 14\/27, 58.8, -4 in decreasing order.\nAnswer: 58.8, 8, 5, 4, 14\/27, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2366 - -16214. List the prime factors of l.\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = z - 7. Suppose y - z = -h, 20 + 17 = 2*h + y. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2 + 251*w - 36. Give q(50).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 34*n**5\/5 + 29*n**4\/4 + 162*n**3 - 6*n + 4410. Find the third derivative of g(b) wrt b.\nAnswer: 816*b + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 divided by 11737?\nAnswer: -398\/11737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11822 and 85581?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 689 + 1475. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/20)\/1 + 74\/8. Suppose -21 = -3*r - 7*x + 3*x, -2*r = x - h. Solve r*f + 6 = -9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000373875 to six dps.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2367034?\nAnswer: 2, 857, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27085 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*c + 8134 = -84*c + 21*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26053752*m**2 - 26053738*m**2 + 52107501*m**2.\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 5*t - 5. Suppose 0*s = -4*s - 2*l + 14, l - 5 = 0. Suppose 3*h = s + 5. What is the tens digit of r(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 1291*l - 1 - 8 - 8.\nAnswer: -1291*l - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -27*d + 180. Let h = 95 - d. Calculate the remainder when 33 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**5 - 3*w**4 + 2*w**2 - 288 wrt w?\nAnswer: -180*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 59, 84, 107, 128, 147, 164?\n\"Answer: -o**2 + 30*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -33 + 6. Let m(n) = -n**3 - 10*n**2 - 9*n - 6. Give m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88038)\/34237)\/(2\/7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108597?\nAnswer: 3, 53, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {b: 1, c: 1, h: 1, f: 1, k: 2, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 10:33 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1439 - -1438.7. Let q be (9\/(-36))\/(7\/(-12)). Which is the third smallest value? (a) -2 (b) t (c) q (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -576.7 - 191.3. Let n = 886.4 + r. Round n to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1135, -2405, -3675?\n\"Answer: -1270*m + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = -4*o + 5*b - 28, 0 = -o + b + 14 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*i + 12, 6*y - 3*y = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -0.1 (c) 1 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 233531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -96*a + 1081. Let h be t(19). Is -745 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 765, 3277, 7457, 13299, 20797, 29945?\nAnswer: 40737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*v - 3 - 5*v + 9*v)*(0 + 7 - 3) + 11*v - 7*v + 7*v)*((0 + 1 + 1)*(-2 + 4 + 0) + 2 + 0 - 3).\nAnswer: 45*v - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 9405420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h + h - 13860 + 13875, 5*h + 71 = -12*c - 10 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) + (-24)\/(-15). Suppose -4*x - 71*q = -67*q + 8, 0 = -x - 3*q - 10. Suppose -r*y + 2038 = -x*b + 6*b, 5*y + 3*b - 5060 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 81629.9km?\nAnswer: 81629900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3059251 - 6118209 + 43*i**3 + 3058958.\nAnswer: 43*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g. Let h(m) = -m**2 + 8*m - 5. Let z be h(6). Let t(f) = 7*f - 15*f + z*f. What is o(t(x))?\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -5*c**2 + 7*c - 4. Let p(l) be the first derivative of -3*l**3 + 13*l**2\/2 - 7*l + 63. Let s = 54 + -77. Let j = s + 12. Determine j*k(x) + 6*p(x).\nAnswer: x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = 2. Suppose 3*x + i = -2*w, 5*x = -w + 5 - 19. Solve -w = -3*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 2*s**3 + 0*s - 2*s - 4*s**2 - 4 + 2*s**2 - 2*s**4 to the form n + o*s**2 + h*s + g*s**3 + v*s**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*h. Let q be -2*(-2 + (4 - 4)). Suppose 2*u = -2*g - 4, -q*g = -2*g - 2*u - 8. Is h at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-3*7\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 178*j + 3. What is the units digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1533 and -53\/624?\nAnswer: 318864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -16. Let h(c) = 10*c - 7*c**y - 3*c + 6*c**2. Give h(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -57*j + 55. Does 35 divide c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/322755, 5, 4\/9, 0.2.\nAnswer: 2\/322755, 0.2, 4\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19155 is divided by 76.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1081*t**3 + 2404.\nAnswer: -3243*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -28 - 52. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122.544 - 120.5. Let n = 294.15 - 179.006. Let q = n - a. Round q to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 23. Let z be (9\/p)\/(2\/(-48)*3). What is the derivative of -z*v + 23 - 21 + 41*v + 30 wrt v?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/1439 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - 2*a - 8, -5*a = -4*p + 17. Suppose -j + p = 1. Is j\/9 - 64\/(-36) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*f + 4 = -5*h, 2*h - 3*f - 20 = 0. Let g = 244 - 16. Suppose -4*d + g = h*o, 3*d + 4*o - 74 = 100. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 1650?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 4*a + 2. Let l be v(-2). Suppose -4*m + 4*n + 4 = 0, -4*m - n + l = n. Sort 0, -5, m in decreasing order.\nAnswer: m, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 less than or equal to 22298\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -316*q + 4137435 + 1370129. Is 36 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4640 divided by 928?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 281001, 280660, 280095, 279306, 278293?\n\"Answer: -112*o**2 - 5*o + 281118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + a - 28, 250*q - 248*q - 24 = -2*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54594 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -190, -173, -156, -139, -122?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2. Let l(j) = 6*j**2. Let p(g) = -g**2. Let f(x) = l(x) + 3*p(x). What is f(w(u))?\nAnswer: 48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 432, 434?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 845 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 q when four letters picked without replacement from uccqccckkkucmmm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -286062643 + -5?\nAnswer: -286062648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**6\/360 + a**5\/24 - a**4\/24 + a**3\/3 - 3*a**2. Let m(k) be the first derivative of f(k). What is m(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45539532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 3. Let v = y - 6. What is the closest to -3 in 5, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46600?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31515?\nAnswer: 3, 5, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 3\/5, 0.2, -121, 23, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 4*j)*(6*j**2 - 7*j**2 + 4*j + 2*j**2).\nAnswer: 3*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3899154*w. Let u(i) = -12*i. Determine u(x(a)).\nAnswer: 46789848*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 708\/5, -8\/7, -3\/13 in increasing order.\nAnswer: -8\/7, -3\/13, -0.1, 2, 708\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*f + 3. Find the third derivative of -4*d**2 - d**6 + 0*d**6 + d**6 - f*d**6 wrt d.\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 15.34133 centimeters?\nAnswer: 0.0001534133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + a = -21 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22481566 rounded to three decimal places?\nAnswer: 0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 135382186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)\/k*k\/(k**(-3\/10)*k))**18 assuming k is positive.\nAnswer: k**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(5 + -3) - 0. Let q be (-4 + 3 + -3)\/k. Is -2 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -1\/34546 (c) -0.2 (d) 0.2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 + 14 + 11 - 2*q)*((-6*q + 2*q + 3*q)*(2 + 2*q - 2) + q**2 + q - q).\nAnswer: 2*q**3 + 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 6*v**2 + 2*v**2 - 38 to the form m*v**2 + l*v + c and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3047 + -0.08461534.\nAnswer: 3046.91538466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f + 4*q + 295, 4*f = 3*q + 235. Suppose -y - 50 = -f. Solve 3 = -y*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 398 - 254 - j**2 + 2*j + 32 as s*j + b*j**2 + z and give z.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 17*c**2 - 18*c - 5. Let t be i(18). What is the smallest value in -0.1, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17\/12 - 35\/4. Which is greater: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*t - 26, -3 = 5*t + 2. Let v = a - 3. Find the second derivative of 1725*l**3 + 14*l - 1725*l**v - 14*l**4 wrt l.\nAnswer: -168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**3 - 224*c**2 - 16*c + 896 = 0.\nAnswer: -2, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 25162*42\nAnswer: 1056804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21403241 (base 7) in base 14?\nAnswer: 35a091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -996079.6 to the nearest 1000.\nAnswer: -996000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-16)*(-9 + 11)*-682?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16084*u**2*v**3 + 252*u**2 + 101524*u - 31*v**3 wrt u?\nAnswer: 32168*v**3 + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -19*f + 13. Let o(v) = 39 - 37 + 17*v - 20*v. Give 39*o(d) - 6*u(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 + 16*i**2 - 2*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 565, 1400, 2715, 4594?\nAnswer: 7121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*z = -114*z + 63. Let u(k) = -5*k - 1. What is the smallest common multiple of z and u(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1183763726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 376, 503, 630, 757, 884?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4 - 45*g**3 + 166045*g**2 + 3422205*g - 37961000 = 0.\nAnswer: -175, -29, 8, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z**8)\/((z*z\/(z*z**10))\/(z**6*z)) assuming z is positive.\nAnswer: z**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.066622755 to three dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13468 = 3*r + 4*a, -r - 4476 = -2*r - 4*a. Let t be 1\/5 + r\/20. Calculate the highest common factor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282761 = -14*y - 3*y. Round y to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*i**3*t**3 + 3*i**3 - 8*t**2 wrt t.\nAnswer: -738*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20b + 64?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/45*3\/4. Let n be (12\/27)\/((-6)\/(-27)). Factor q**n - c - q**3 + 1\/2*q**5 - 1\/2*q**4 + 1\/2*q.\nAnswer: (q - 1)**3*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x + 10. Find the second derivative of -k - 22*k**4 + 1 + 14*k**x - 1 wrt k.\nAnswer: -96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -39, -59?\n\"Answer: -20*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -13*m**2 - 218*m + 5024. Calculate l(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 0 - sqrt(637))*-3*-5 + 0)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**3\/6 + 7*p**2\/2 + 5*p - 1. Calculate v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60562 is divided by 76.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 14, k: 1, s: 1, l: 1}. What is prob of picking 1 s and 2 h?\nAnswer: 91\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 18171?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:18 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/5 + 27802564*w\/5 + 96622820621762\/5.\nAnswer: 2*(w + 6950641)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 - 23)*(-1 + 1 + b**2) + 0*b**2 + 0*b**2 + 2*b**2 + 4 + 2*b**2 - 4 + (-6*b - 4*b + b)*(-b + 0*b - b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2. Let b(f) = 6*f**2 - 11*f - 11. Let p(y) = -y**2 + 2*y + 2. Let a(s) = 6*b(s) + 33*p(s). Give r(a(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-20)*(-1200)\/(-3360). Sort 0, -10, i, 9.\nAnswer: -10, 0, i, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/11 and -28\/36289?\nAnswer: 36289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 - -214. Let p = -0.869 + 96.789. Let d = p + w. What is d rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 18 - 6*p**2 - 2*p**2 - 5 with respect to p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11161, 26, -5 in ascending order.\nAnswer: -11161, -5, -3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(264))\/(2*sqrt(32)\/sqrt(4)))\/((1*sqrt(540) + sqrt(540))\/(sqrt(35)\/(2*sqrt(7)))).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 + 8*g + 32 = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6971689559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 21. Which is the nearest to 1? (a) -2\/7 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -r + 10309 - 10312, 2*r = -2*z - 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12971 - 7351. What are the prime factors of g?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1940 + -1939. Solve -5 = -5*z, -16*q + 3*z = -15*q + m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3 + 7290*y**2 + 4612131*y + 220540476 = 0.\nAnswer: -1189, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*q + 12. Let f be q\/(-9)*-3*(-14)\/(-4). Let n(r) = r - 3. Let a be n(f). Calculate the highest common divisor of a and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -72. Let w be (-1 - (4 - u))\/((-6)\/8). Calculate the highest common divisor of w and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**2\/2 - 2*u - 75. Suppose -3*q = -4 + 34. Let o = q - -5. What is r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/2*(-3)\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6581\/3 + -20897\/9. Let y = z + 128. Let h = 4\/513 - 1318\/37449. What is the nearest to 0.2 in 1\/10, y, h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 + 166 - 2*p**3 - 332.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 35 + 60 = 5*y, -5 = 5*a - y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85229 is divided by 42608.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -15. Let s(d) = -d - 9. Let o be s(p). Suppose o*c = c + b - 7, 31 = 5*c + b. Calculate the least common multiple of c and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3832041 is divided by 591.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 5*d**2 + 4*d - 2. Let i be t(3). Let y be 1*-3*i\/8. Suppose 0 = -a - 3*x, -3*a + 10 + 8 = y*x. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11174709877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183.7 + -170.7. Put s, -0.5, 1, -0.04 in decreasing order.\nAnswer: s, 1, -0.04, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*g - 78*g - 27*g - 2)*(1 - 2 + 4 - 3*g).\nAnswer: 510*g**2 - 504*g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -0.01370953\nAnswer: 0.009596671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.25. Let y be (-3)\/(-1)*14\/(-6). Let r = 11 + y. What is the closest to 1\/2 in r, f, -1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 23641.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 429650563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 6:00 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201120312 (base 4) in base 11?\nAnswer: -252779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59684 + 85419. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 671*o - 105880. Calculate p(-254).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 1 - 1 + (-4 + 3 - 3)*(68*l**2 - 200*l**2 - 99*l**2).\nAnswer: 922*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -0.5, 4, 0.1, -46, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 34. What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 1\/10*z**5 + 0*z**2 - 6*z + 1\/2*z**4 + 0 + 0*z**3. Find the third derivative of j(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 5*r - 5*r)*(-2 - 1 + 4) + (1 - 4 + 1)*(-r + 4*r - 2*r) - r - 3*r + 3*r - 1 - 2*r + 1 - r + 4*r - r + r - r - 3*r - 4*r + 6*r - 4*r + 3 - 3 + 3*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 721\/29959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*b + 2*b**2 - 31*b + 0*b**2 - 2 in the form z*b + i*b**2 + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/16458 and -3\/3536?\nAnswer: 2238288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5262 and 99012.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/5 - -5 - (-3)\/3. Let o = -1 + 1. Let l be 28 + (-2 - -1 - o). Solve -2*c - 2*c + 21 = -3*u, 4*u = x*c - l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*o - 12. Suppose 4*z + o = a, 0 = -11*z + 7*z. Let f(m) = -33*m**2 + 22*m - 22. Let s(h) = h**2 - h + 1. Calculate a*f(k) + 22*s(k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79278 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125 and -7.\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + w**3 + 0*w**3 + 526897*w**2 - 526897*w**2 + 1097*w**3 - w**3 + 4*w**3 - 2*w**3 + (w + 2*w**2 - w)*(-3 + 3 - 2*w).\nAnswer: 1096*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 11, 35, 79, 149, 251, 391?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -35?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 10*j = -16 - 2. Is j > 2\/25923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 27 = 357. Suppose -60*v - 380 = -k*v. Is 3 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24531 = 38*j - 20081. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 12. Suppose -5*z - 32 = -z. Let b be (-26)\/z + q\/(-12). Solve b*h = 5*g - 2*g + 9, 5*g = -5*h - 35 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/10599899 - 368473688992\/243797677. Let z = 1512 + f. Let x = 50\/69 + z. What is the closest to 0 in x, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7928)\/(-1232) + -6 - (288\/(-56))\/(-9)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41867.97 - 41638. Let a = -0.75 + -230.25. Let n = s + a. Round n to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1427 (b) 253 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/3*(624\/30 - -2). Let n = -152 + u. Solve -c = g - 4, 4*g + n - 9 = 3*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 132, 215, 298, 381, 464?\n\"Answer: 83*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161688451*a**4 - 157667103*a wrt a?\nAnswer: 1940261412*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*f + 4*f + 4 = 0, 2*z - f + 4 = 0. Sort 1, 4, 3, z.\nAnswer: z, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1975 and 126825?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -45. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < -28718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 2 - (-1 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9123 - 9123 - 447*t as n + g*t and give g.\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/8 in 1, 0, -5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in six fifths of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3048*a**3 + a*y**2 - 2*y**2 - 2*y + 5936 wrt a.\nAnswer: -9144*a**2 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8542 + 8541.7. Is z equal to 22\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + -81 + 204 + -101.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:15 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 20078168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 5*l - 16*l**2 - 2*l to the form b*l + w*l**2 + r and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1*(-2)\/1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/4577 - 4553\/18308. Which is the third biggest value? (a) 22 (b) -3\/5 (c) 1 (d) h (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x**(-2\/11))\/x)*x*x**(5\/7)*x**(-3\/10)\/(x\/x**8)*((x**(-5)\/x*x)\/(x\/x**(-2\/11)*x*x))\/((x*x**(-5))\/x**(-7)) assuming x is positive.\nAnswer: x**(-111\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 24*z = 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*a - a - 12, 4*a + 23 = y. Let l = 1 + -2. Let q be 1 - l\/(-1) - 4. Put 5, q, y in decreasing order.\nAnswer: 5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525665 and 155365.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**6\/120 - 5*s**3\/6 + 6*s**2. Find the first derivative of t(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/7 - 19505*j**2\/7 + 389476*j\/7 + 623520 = 0.\nAnswer: -8, 28, 19485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 716*c + 82809. Give a(-450).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 n when four letters picked without replacement from nennnppepnpppnpn.\nAnswer: 63\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2169864006 to the power of 1\/2, to the nearest integer?\nAnswer: 46582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*u - 32*u + 14*u**3 - 1 + 3 with respect to u.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p = 4*b + 12, 0 = -2*b - 10. Suppose p*c = -2*u + 18, -u - 7*c + 2*c = -21. 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: Calculate the highest common divisor of 29690 and 30810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5\/11 + 6494*d**4\/11 - 6*d**3\/11 - 19478*d**2\/11 + 12988*d\/11 = 0.\nAnswer: -3247, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 243329900?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(3*p - 5*p + p)*(-70 + 77 - 49) to the form g*p + l and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 110?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - 46\/(-44)) + (-1044)\/1914)*46\/3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437.1058km to micrometers.\nAnswer: 437105800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*c**2 + 509*c - 509*c + c**2 - 1 + 1 + (-2*c**2 + 5*c**2 - c**2)*(-4 + 0 + 2) in the form r + w*c + h*c**2 and give h.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22232 by 1588.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 207, 463, 821, 1281, 1843, 2507?\nAnswer: 3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*w + 2*o + 8, 0 = -5*w - o + 10. Let b(p) = -9*p + w*p + 5*p. Let u(c) = -c - 5*c - 4*c + c. Calculate u(b(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69\/4 + 205\/12. Is 0 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.75 and -0.1.\nAnswer: 0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + b + 1. Let r = 38 - 35. What is the units digit of a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - m - 3 = -5, -s + 18 = -4*m. Factor 53488*a - 53452*a + 3*a**4 + 16*a**s - 21*a**3 - 4*a**2.\nAnswer: 3*a*(a - 6)*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1862 and 20786.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 27 = -6*z + v, 4*v = -3*z + 38. What is the remainder when 26 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y + 13. What are the prime factors of j(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 3, -2, -5 in decreasing order.\nAnswer: 8, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 2055663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 - 15*w + 34. Let m be f(11). Let n = -463 + m. Solve -1 = -4*o + n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + (6 + -2)\/(-1). Let l(j) = -j - 5. Let v be l(-7). Solve v*d - h*k + 18 = k, 3 = -5*d - 3*k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115559\/34110 + 2\/1895. Let w = -374684207\/143934 + 8\/71967. Let s = 2593 + w. Calculate the common denominator of s and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j - 625 = 0. Let h = j - -175. Suppose -27*p - 200 = -35*p. Calculate the greatest common factor of h and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41538 and 130548.\nAnswer: 913836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.49 + -3.03. Let f = -4.54 - y. Put 3, -1\/7, f, -1 in ascending order.\nAnswer: f, -1, -1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -65, -171, -321, -515, -753?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r + 53 - 18 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -28. What is the biggest value in -0.9, n, -2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:39 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1425897 and 27.\nAnswer: 1425897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 5*f - 9. Let s(d) be the first derivative of -3*d**2\/2 - 5*d - 2764. What is 4*b(o) - 7*s(o)?\nAnswer: 4*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 15418?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from odrxzoddioodird?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30906 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, k: 2}. What is prob of picking 1 s and 1 k?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6038938.63*4.\nAnswer: 24155754.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 1, g: 1, m: 3, s: 2, l: 3}. Give prob of sequence lmls.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4095 and 3003?\nAnswer: 45045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0675 + 1.9\nAnswer: 1.9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 13. Determine z(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*n = 8*n - 2430, -4*n - 2385 = -5*q. Let j = 1087 - q. Suppose w = -a + 105, -5*a - 69 + j = -w. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/32, 4, -9\/13, 6 in descending order.\nAnswer: 6, 4, 1\/32, -9\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r = 36*r + 288 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p**4 - 4*p**2 + 4*p**2 + (0*p + 0*p + p**2)*(-4*p**2 + 6*p**2 - p**2).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -8. Let k be ((-32)\/(-30) + (-6)\/9)*l. Suppose 966 = 3*i + k*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/5 + 7347*s**2 + 337383423*s\/5 + 337346689\/5.\nAnswer: (s + 1)*(s + 18367)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 470108639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 38561300 to the nearest 100000.\nAnswer: 38600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from {b: 2, k: 1, x: 2, q: 1, n: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 + 0)*(-1 + 1 + 2*f) + 0*f + 2*f + 0*f)*(-5*f**3 - 10*f**3 - 8*f**3) to r*f**4 + i*f**2 + o*f**3 + a + k*f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -24*g - 9. Let k(x) = 2 + 315*x - 103*x - 102*x - 104*x. What is 2*d(j) + 9*k(j)?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/4878 and -71\/12.\nAnswer: 9756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346 = d + 345 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+-0.3262339\nAnswer: -0.7262339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 120\/329 - -3\/47. Let v(g) = -2*g + 15. Let u be v(7). What is the nearest to u in x, 0.2, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwddddwrddvdwzvvv. Give prob of sequence wz.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 517530 and 8.\nAnswer: 2070120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -28, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 7:07 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 51, 85, 129?\n\"Answer: 5*h**2 + 9*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 51\/154 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, k: 4, j: 2, g: 1, p: 3, l: 3}. What is prob of picking 2 l, 1 k, and 1 v?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**4 + 7659*n**3\/7 + 9862908*n**2\/7 + 12670380*n\/7 + 2815152\/7 = 0.\nAnswer: -526, -1, -2\/7, 892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69051375 is divided by 11421.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 6 = -5*o. Let i = o - -3. Let p = i - -6. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37248652 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:36 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1299 - 828. List the prime factors of v.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 15696.805.\nAnswer: 62787.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1326 + 2075. What are the prime factors of s?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*n + 26 + 12 - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*d**2 - 468*d - 7948?\nAnswer: 18*d - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 267\/(-2)*6\/(-9). Let l = r - 135. Let k = 64 + l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tte when three letters picked without replacement from {t: 12, e: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*m**2*s**2*t + m**2*s*t + 2*m*s*t - 4*m*t - s**2 - t wrt m.\nAnswer: -104*s**2*t + 2*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/7 + 3806*a**2\/7 + 195443*a\/7 + 882190\/7.\nAnswer: (a + 5)*(a + 47)*(a + 3754)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-16))\/(-3*2\/(-24)). Suppose -60 - 135 = -q*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4296 and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 403048\nAnswer: -1\/403048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/148041 and -127\/24?\nAnswer: 1184328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -432513.9 rounded to the nearest 1000?\nAnswer: -433000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -45cc9 (base 14) in base 8?\nAnswer: -513671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 6. Let x = 1 + h. Let k be (-6)\/(-2) - x\/(-2). Let b(c) = -c**2 - 2. Give b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -27, -30, -23, 0, 45?\n\"Answer: s**3 - 4*s**2 - 2*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1005, 1007, 1011, 1017, 1025, 1035?\n\"Answer: t**2 - t + 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-12))\/((-3)\/(-16)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1170 divided by 234\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 359, 1629, 4729, 10571, 20067?\n\"Answer: 152*c**3 + 3*c**2 + 197*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -23, -40, -57, -74?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-960)\/(-120))\/((-63)\/234*16\/(-28)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*d + 2. Let n = 9 + d. Calculate the smallest common multiple of n and 8\/(-28) - (-128)\/7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 557, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -0.5, 0.1, -8\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 3. Let u be q(5). Let d be -6*(-4)\/(-8)*1. Put d, 3, u in decreasing order.\nAnswer: 3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + 0 + -3 - 3)\/1. Let o be 3 - (i - 0)\/((-6)\/(-6)). Calculate the highest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230202 (base 6) to base 4\nAnswer: -10300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + m - 555 = -650, a + 2*m - 13 = 0. Solve -z = -a*z + 196 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 6 + 18*n**2 - 5 + 9 - n.\nAnswer: 18*n**2 - 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4.6. Let c = 1.3 - o. Sort 2\/3, c, -2 in descending order.\nAnswer: 2\/3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - q - 1 = 0, 16*v - 18*v = -5*q - 5. Solve v = -13*m + 12*m - 6 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let i be (z\/(-1) + 3)*-1. Let s = i + 6. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5807?\nAnswer: -1\/5807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 1123\/17. Let l = 37\/51 + v. Let t = 6.3 + -4.3. Put l, -1\/3, t in descending order.\nAnswer: t, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**5 + 33896*j**4 + 189464766*j**3 + 337624603960*j**2 - 64990694413664*j + 898253719224960 = 0.\nAnswer: -5708, 15, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2778959 is divided by 240?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 3. Let l = z - -6. Let r = l + -6. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3 - 19109007*c**2 - 2961602 wrt c.\nAnswer: 6*c**2 - 38218014*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -111001011101100111111011?\nAnswer: 111001011101100111111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*z - 22, 3*z = -5*o - z + 26. Suppose 0 = -y + 2*y + 2. Is (-1)\/(o\/y) - -6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/5)\/(132\/616661415). Let t = r + 1873497. Let z = t - 4827. Calculate the common denominator of 71\/22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 198197 or 198195?\nAnswer: 198197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1079b4 (base 14) to base 4\nAnswer: 2020131222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v - 25. Determine s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 26*d + 3 - 3*d.\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*w + 11 + 51, 0 = -4*w - 4*o + 92. Calculate the least common multiple of 14 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.125314kg in nanograms?\nAnswer: 2125314000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -1.9 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/20)\/(2\/(-25)*-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 11*l**2 - 2*l - 11. Let u be r(-8). Let m = u - 124. What is the remainder when m is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -2\/3 (c) 476\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 60843*o**2 + 4984083*o + 102139241.\nAnswer: (o + 41)**2*(o + 60761)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 53 - 7)*(-15*k**2 + 2*k**5 + 15*k**2) + (4*k - 5*k + 2*k)*(k**4 - 2*k**4 + 0*k**4).\nAnswer: -111*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**6\/360 + n**4\/24 + 13*n**3\/3 - 3*n**2\/2 + n + 19. Let a(f) be the second derivative of c(f). Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -3*j**8\/16 + 167*j**5\/60 - j**4\/24 + 5*j**2 + 13. Find the third derivative of m(l) wrt l.\nAnswer: -3780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) - -4*2*sqrt(135))\/(sqrt(9) - sqrt(45)\/(2*sqrt(5))))\/(sqrt(45)\/sqrt(441) - sqrt(5) - (sqrt(20) + sqrt(60)\/sqrt(3))).\nAnswer: -63*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 8\/800065, 1\/3, 0.4?\nAnswer: 8\/800065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q**3 - 10*q**2 + 5*q - 10. Suppose -4*p - 5*m + 19 = 0, p - m - 7 = -0*m. Let g(o) = o**3 - o**2 + o - 1. Let n(u) = p*g(u) - h(u). Calculate n(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1194 - 1196. Let y = 4.1 + -4. Sort f, y, -9 in descending order.\nAnswer: y, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115065 = 2850*x + 25612 + 18923 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 190671.66s?\nAnswer: 52.96435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p - p + p + 7*p to b*p + n and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 168\/(-35)*(-1 + -24). Suppose -k + h = k. Suppose 20 - k = -5*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 483126468 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(54)*6*-6)\/(6*(-1*sqrt(2)*2 - -3*sqrt(4)\/sqrt(2))).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 7880264 in descending order.\nAnswer: 7880264, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3998 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: In base 2, what is -110 + -1?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-44) - (-114)\/418)\/(9\/22)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwssswswqj. Give prob of picking 1 q and 3 w.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 40, -3, -98, -263, -516, -875, -1358?\nAnswer: -1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 7*f**2 - 5*f - 6. Let p be z(6). Let l = -266673\/40 + 6665. Let v = l - -17\/10. What is the nearest to p in -5, 3\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -903 - -568. Let s = -330.98 - b. Round s to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (130\/455)\/((-4)\/(-2614822)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3\/2 + 67410*x**2 - 539271*x\/8 + 134817\/8 = 0. Calculate x.\nAnswer: 1\/2, 44939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t + 3*f - 91, -4*t + 3*f + 89 = 0. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1253421*i**5*s - 27*i**4*s + 2*i**2*s + 12*i**2 - 2*i*s + 902*i - 1 wrt i?\nAnswer: 75205260*i**2*s - 648*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -14. Suppose 0 = -4*u - 2*z - 280, -2*z - 61 = b*u + 287. Let n = 121 + u. List the prime factors of n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -323*l**5\/60 - 4*l**2 + 472. Let h(z) = 5*z. Determine h(o(b)).\nAnswer: -1615*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2549563 (base 11) to base 5.\nAnswer: 2112411334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:59 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1418, 5579, 12514, 22223, 34706, 49963, 67994?\nAnswer: 88799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*n - 6*n. Let y be (n\/(-6))\/(14\/(-21)). Solve 12 = y*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*r = -5*o + 20, -2 = 3*o + 2*r. Find the third derivative of 4*k**6 - 406*k**2 + 403*k**2 + 4 + o*k - 12*k**4 - 4 wrt k.\nAnswer: 480*k**3 - 288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**2 + 12. Let x(a) = -1. Let k be 65\/10 - (-2)\/(-4). Let d(m) = k*x(m) + v(m). Find the first derivative of d(r) wrt r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by -141.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434*k**2 - 27*k + 11*k + k + 3*k + 9*k.\nAnswer: -434*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 6*h + 9. Let t be x(7). Suppose -5*o = 9 + t, -5*o - 31 = -3*p. Suppose w + 28 = p*w. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i - 5. Let n(b) = -2*b + 24. Let c be n(10). Put 3, -4, c, i in decreasing order.\nAnswer: c, 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -3, 0.4, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/15 + (-21)\/(-5). Suppose -5*v - 3*k = -333, 0*k + 3*k = -p*v + 264. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26021, -26022, -26023, -26024, -26025?\nAnswer: -26026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i**4 - 414688*i**3 + 29*i + 2 + 414688*i**3 as d*i + y*i**3 + u*i**2 + l*i**4 + r and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/32 and -17\/13380.\nAnswer: 107040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/3071 + -9020\/592703. Let n = m + 594\/965. Find b such that -6\/5*b**2 + 0 + n*b + 3\/5*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 1.2. Let b = 215.9 + -216. Sort -5, k, b.\nAnswer: -5, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/16 + 0*5\/(-15). What is the nearest to z in 3\/5, -5\/2, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*((-52)\/13)\/(14\/6)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24241102?\nAnswer: 2, 857, 14143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 347019 and 4176?\nAnswer: 483050448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a factor of 5522664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000175224 to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -8, -4 in decreasing order.\nAnswer: -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 3*g - 4. Let p(f) = -5*f**2 - 9*f - 11. Give -4*p(w) + 11*s(w).\nAnswer: -2*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-665)\/(-190)*1\/((-2)\/(-4)). Solve 12*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1074 divided by 54977\nAnswer: 1074\/54977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from pmmpmqprmqmpmqrmrmmq.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11402024124 - 103?\nAnswer: -11402024232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 22. Let t be (-52)\/(-10) - 8\/z. Solve 2*h = -t - 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.552 + 4.852. Which is the second biggest value? (a) -1\/2 (b) p (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 2 - 19747*u + 5033*u.\nAnswer: -14714*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7))**(2\/27)*w**(-3\/5)*w*w**(-2\/7)*w)**(-1\/9) assuming w is positive.\nAnswer: w**(-1073\/8505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwldddndnnld. What is prob of sequence ln?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8031197 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 1\/812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/480*d**6 + 0*d + 0 - d**2 + 0*d**5 + 0*d**3 + 0*d**7 + 1\/1344*d**8 + 0*d**4. Factor k(p).\nAnswer: p**3*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13349 in 0.006, -3, 0.3, 5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 339, 1\/4, 6916?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.4 + -8. Let c = v - 0.1. What is the closest to 0.1 in c, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -4, -0.5, 0.07 in ascending order.\nAnswer: -4, -0.5, 0.07, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + -4.89. Let y = u - -10. Let b = -4.62 - -0.62. Put b, -1\/7, y in decreasing order.\nAnswer: y, -1\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/4)\/((-2)\/(-12)). Suppose 5*s = -z + n, 0*z + 24 = 4*z + 2*s. Let j(y) = -y + 1. Let o(k) = 2*k - 2. Calculate z*j(x) + 2*o(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 62.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8483 and 2991.7.\nAnswer: -25378591.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/3 + (-9)\/(-3). Let f(t) = -6*t + 56. Let o(l) = l - 11. Let z(y) = 4*f(y) + 22*o(y). Calculate the remainder when 9 is divided by z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -40675237*t**2. Let l(j) = 2*j. What is a(l(o))?\nAnswer: -162700948*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from ooiiblyllnliyly.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-120)\/36*396\/88)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45c (base 16) to base 7\nAnswer: -3153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-20050721\nAnswer: -6015216.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -51*t + 35. Let j be u(3). Do -118 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14195427?\nAnswer: 3, 31, 152639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25\/490613 - -2079769007\/1187283460. Let y = i - 1\/605. Let g = -1007\/4 + 249. Calculate the common denominator of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3))\/(-29*150\/71775).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9 - (2 - 6)) + 9. Solve 24 = -j*u + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z**3 + z**2 - 2*z + 1. Let v be o(1). Suppose -v = 6*h - 27. Solve -5*y - h*c - 5 = 2*c, 2*y = -3*c - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 1219 (c) -1 (d) -18 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 25420 = x, -3*m = 424*x - 429*x - 127012. What is x rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39024765 + 5*s**3 + 39024765.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8872 or 13303?\nAnswer: 13303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-4968)\/345 - -22)\/2)\/(8\/(-10))\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*u + 4*d, 31*d + 30 = -2*u + 29*d. Sort -3, 0, -1, -5, u in decreasing order.\nAnswer: 0, -1, -3, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - -0.05. Let h = 0.11 - r. Let m = 130 + -132. Which is the nearest to -2? (a) h (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + a**3 + 27*a**3.\nAnswer: 26*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q**2 + 28*q**2 + 6*q**2 - 93*q - 161*q + 8*q**2.\nAnswer: 2*q**2 - 254*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-25)*((-45)\/(-660)*-11)\/((-3288)\/(-160))?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-50)\/5)\/(-100))\/((-1)\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 502786534 or 0.1?\nAnswer: 502786534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 7*s - 3*s - 3*n, -5*n + 80 = 3*s. Suppose 23 = y + 3. Solve -y = -s*f + 24*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (14 - 10 - (23 + -40))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513.8 times 0.4?\nAnswer: -1405.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v + 2. Let o be b(5). Suppose -19*q = -90 - 62. What is the third derivative of 28*x**3 - q*x**3 - 52*x**o + 37*x**2 wrt x?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17948?\nAnswer: 2, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223772890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 51 - (-23 + 2) - (0 + 2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 7, 37, 103, 217?\n\"Answer: 2*d**3 - 8*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 28. Let s = a + 37. What is the highest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 - 3*j**4 + 7*j**2)*(5*j - j - 5*j) + (0*j**5 - 8*j**5 - 3*j**5)*(-22 + 11 + 60).\nAnswer: -536*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (0 + 0 - 0). Let x = 3 + g. Let h(s) = 3*s**2 - 3*s + 17. Let a(z) = -4*z**2 + 3*z - 24. Let w(n) = 2*a(n) + 3*h(n). Give w(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 25*a + 9. Let t be x(11). Let w = -20 - t. Suppose 5*j - 28 = w*y + 53, j = -y + 9. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65337 + -1?\nAnswer: -65340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36228 less than -0.0329676?\nAnswer: -0.3952476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z - 10. What is the least common multiple of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1555 (b) -7 (c) -2\/19 (d) -4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0 = -8. Let x = 16 - l. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 171 = -f. Is 7\/(-3 - (-174)\/f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s + 6*s)*(-41 + 41 + 5*s)*(-1 + 5 - 2 + (2 + 1 - 5)*(0 - 2 + 1))*(2 + 0 + 2).\nAnswer: 480*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 70 - 35 - 35.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33535.\nAnswer: 5, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5712 minus -0.0430651308?\nAnswer: 5712.0430651308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3*d**4\/4 - d**3\/3 + d**2 + 2*d + 212. Determine t(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2188 or 401?\nAnswer: 2188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 3279755 + 62745 = 0. Let z be (7 - 332\/20)*x. Round z to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.049 - 0.711. Let v = 0.760178 + z. Round v to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 290?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234*m**4 + 788 with respect to m.\nAnswer: -936*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/2790 and -7\/465?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:28 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 218 and 1749668.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**3 + 19\/15*j**5 + 4*j**2 + 5\/24*j**4 + 0*j + 0. Let s be i(1). Calculate the highest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**2 - c - 2. Give r(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:43 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(-6\/11)*q)\/q*(q\/q**(-2\/11))\/q*(q*q**(-4\/7)\/q)\/((((q*q**(-3\/8)*q*q)\/q)\/q)\/q) assuming q is positive.\nAnswer: q**(271\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11.1. What is the closest to 0.3 in 5, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/601371 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/3 + -3)*(-15 + 0). Let m(z) = -5*z + 22. Let h be m(i). Is (-1082)\/h*(-12)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 222 = -2*a. Let r = 15 - a. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 18 = -z, 2*z = 63*w - 60*w - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 629 (b) 1\/2 (c) 1 (d) -0.2 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3\/3 - 5*u**2\/2 - 55*u - 37. What is the units digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 54*z**2 + 37*z + 225. Is j(-57) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42201 (base 5) to base 7.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001415 rounded to five decimal places?\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/30 - (-12)\/5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 156*v**5\/5 + 2*v**2 + 14*v - 63. Find the second derivative of s(b) wrt b.\nAnswer: 1872*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from qpzsvpqpqiz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 2607207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166246106 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: What is the third derivative of 241*c*u**3*x - 2*c*u**3 - 2*c*u*x + 2*u**3 - 3*u**2 + 9*u*x - 8*x wrt u?\nAnswer: 1446*c*x - 12*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + x + 192 = 190, f - 5*x - 10 = 0. Suppose -2*z = -0*z - 30. Let i = z - 10. Put i, f, -5 in ascending order.\nAnswer: -5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2891467 and -61?\nAnswer: 176379487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 2\/13, 0.18, 4\/39?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -206993506*i*j**2 + 230871273*j**2 wrt i.\nAnswer: -206993506*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -146, -346, -630, -998?\n\"Answer: -42*k**2 + 10*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -67615 - -2\nAnswer: -67613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgkkmmkgkkkmxggkggg. Give prob of picking 1 x, 1 k, and 1 z.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4543531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**1*t**(-10)*t**(-9)\/(t\/(t\/(t\/(t*t\/t**(7\/5)*t)))) assuming t is positive.\nAnswer: t**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (88\/110)\/((-4)\/(-10)). Let k(m) = -1 + 7 + 10*m + 5 - m**3 + h*m**2 - 9*m**2. Give k(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 4*v. Is -91*1\/(1 - v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -178.62 + -3.38. Let a = c - -182.000087. Round a to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/21)\/r))\/((r*r**(-2\/21))\/r))**39\/(((r**(-2)\/r)\/(r\/(r*r\/(r*r\/(r\/(r\/r**(-2\/15)))))))\/(r\/(r**(-2)\/r)*r*r**4)) assuming r is positive.\nAnswer: r**(1367\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 + 126. Let h be 6*(-1 + 76\/(-8)). Let q = z + h. Solve -q = -i - 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 0, 21 = 5*y + 5*f - 4. Suppose 2*j = -y*p + 3*j + 17, 3*p - 3*j = 3. Sort p, 5, -3 in increasing order.\nAnswer: -3, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71881440 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(44)\/(sqrt(12)\/sqrt(3)) - (1 + sqrt(396) + sqrt(396) - sqrt(396))) + -4 - (sqrt(176)*3 + 5 + -2))**2.\nAnswer: -12972 - 1088*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r - 18 = -45*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1638*k**3 + 5*k**2 - 5*k**2 + 1640*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512 (base 6) to base 10.\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 12:02 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/17)\/p)\/(p*p*p**(-12))*(p**2\/p)**(3\/20))**(-10\/3) assuming p is positive.\nAnswer: p**(-3151\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*-4*sqrt(500) + (3 + -3 + sqrt(500))*5 + 0)**2.\nAnswer: 144500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1163.789 + -96.8.\nAnswer: -1260.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**7\/280 - v**6\/240 + v**5\/80 - v**3\/2 + 3*v**2. Let z(b) be the first derivative of i(b). Factor z(a).\nAnswer: -3*a*(a + 1)*(2*a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1397, 5803, 13147, 23429, 36649?\n\"Answer: 1469*g**2 - g - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 10*c**2 - 23*c + 7. Give m(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -969 + 1939\/2. Which is the closest to 1? (a) w (b) -6 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5}. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*d - 2, 4*q + 0*d - 11 = 5*d. Suppose 3*a - q = -0*a. What is the tens digit of (-5)\/(-15) + 47\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -409556 or -449?\nAnswer: -449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 6:29 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/34887 and -101\/39092.\nAnswer: 47027676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2 = 4*g + 1, -3*g - 8 = -5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1024, 1, -11\/37?\nAnswer: 1024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1)*s*s)\/s)**(11\/4)\/(s*s**(-3\/10)*s\/(s\/(s*s*(s\/s**(10\/3))\/s))*s*s) assuming s is positive.\nAnswer: s**(83\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93 by 117289.\nAnswer: 93\/117289","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3396867043.\nAnswer: 53, 79, 811289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/51 in -12, -5, -15, 1, 102?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyyyhhhyyyyyyyyyyyy. What is prob of sequence hhy?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -301179.208 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooogbobg. Give prob of sequence ggo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 60584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3 - 6 - 11*g - 4712318*g**2 + 4712317*g**2 + 3. Give s(-14).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 + -56464?\nAnswer: -5640a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2964 + -1354. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135158?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 243 = 8*d + 5*d - 7*d for d.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 13 = -4*o, 4*q + 5*o - 12 = -7. Let m(k) be the third derivative of 1\/60*k**q + 0*k - 7\/24*k**4 + 3*k**2 + 0 + 4\/3*k**3. What is m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 13. Let j be (-2)\/(-3*b\/(-36)). Let h be -3*1 + j + 8. What is the greatest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 3 + 63 = 0. Suppose -s*a - 4*o + 437 = -43, -5*a + 2*o + 600 = 0. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*i, -3*g + 65*i - 24 = 70*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 325*y**3 + y**2 - 26. Let a(q) = -651*q**3 - q**2 + q + 43. Give -3*a(j) - 5*l(j).\nAnswer: 328*j**3 - 2*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 8:11 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = -15. Is d\/((-75)\/5)*915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9 + 6 + 92 + 2*1. Let h(t) = -t + 35. Let z be h(22). Calculate the highest common divisor of c and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/7339406 and -9\/5.\nAnswer: 36697030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 9*c - 2. Let f(t) be the second derivative of -2*t**3\/3 + t**2\/2 - 4*t. Calculate 7*f(k) + 3*r(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4 - -4) + 39 + -40?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + t - 3 = 0, -6*s + 69 - 72 = 2*t + t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 13 = -2*p + 2*t, 2*p = t + 11. Suppose 0 = -5*h - 5, f + 2*h = -p*h. Differentiate 2 + 4 - 2*w**4 - f with respect to w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and -6?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -113. What is the greatest common divisor of u and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4815105 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 51*h + 24*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*q - 16, 0 = -9*t + 12*t + 4*q - 9. Which is the third smallest value? (a) t (b) 1.6 (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -89 + 90 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 73116?\nAnswer: 146232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 4*t = 8*r + 28, 5*t - 29 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(14\/6 + -3). Suppose 0*w + y*w = 20. Suppose 2*m - 6 = 0, p = -m + w + 17. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5351063 (base 7) to base 16.\nAnswer: 9ef33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55562, 53813, 50898, 46817?\nAnswer: 41570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkzzwzzcnw. Give prob of sequence zncw.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409 is divided by 116?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -764 from -21500.4683.\nAnswer: -20736.4683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 17*d**2 + 99*d**3 - 93*d**3 + 18*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/((-4)\/(-18)). Suppose s + 2*n - 2 = 0, -l*s + 16 = -0*s + 4*n. Suppose 2*b + b - s = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 24 + 36. Let f be 2 + (1 + -1 - -1). Solve 0 - p = f*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*x + 5 = -3*x, -m = -21*x + 25*x + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -2*l**2 - 3 + 0*l**5 + 7*l + 146\/15*l**6 + 23\/12*l**4 + 0*l**3. Find the third derivative of j(q) wrt q.\nAnswer: 7008*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1750 and 560250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79, -74, -69, -64, -59?\n\"Answer: 5*h - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9038.369s to microseconds.\nAnswer: 9038369000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((-4)\/(-10)*5). Suppose -13 = q - j*q. What is the highest common divisor of q and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3249, -3261, -3281, -3309, -3345, -3389, -3441?\n\"Answer: -4*d**2 - 3245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 4*a + 1. Let t be i(-3). Suppose 8*c = -8, 2*c - 3*c = 5*v - 999. What is the highest common divisor of v and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 4:50 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**0*k)**(2\/37)\/(k*(k*k**5)\/k*k**(1\/6)))**(2\/33))**(-10) assuming k is positive.\nAnswer: k**(13570\/3663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**5\/10 - y**4\/6 + y**3\/6 - 10*y. Give k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118 divided by -2\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - 169 - 5*r + 168 + 429*r**3 - 3*r**4 - 434*r**3 in the form q*r**4 + v*r + p + o*r**3 + m*r**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26, -62, -110, -170, -242, -326, -422?\n\"Answer: -6*j**2 - 18*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 33.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/26 - (-35)\/(-42). Let r be (-6)\/14*4\/(-18). What is the closest to n in 5, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 7285?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 11) to base 10.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9466.\nAnswer: 2, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**4\/5 - 14*r**3 - 258*r**2\/5 - 306*r\/5.\nAnswer: -2*r*(r + 3)**2*(3*r + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 94*g**4 - 6 + g**3 - 92*g**4 - 4*g**3 + 7 - g**2 in the form w*g + y*g**4 + v*g**2 + a + d*g**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-4)*(-12)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/7049*(-10976)\/2352.\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.1, -2\/17, 0.809, -1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -244 (b) 11951 (c) 0.3 (d) -0.9 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 359.0844 + -1308.6147. Let g = m + 901.53051. Let j = g + 48. What is j rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1185\/(-79) + 1\/((-4)\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*((-19)\/38)\/(-1))\/(111\/6)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4532919, -9065837, -13598755?\n\"Answer: -4532918*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 0*o**2 + o**3)*(-99 + 99 - o + 25*o**2).\nAnswer: 25*o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 427055527?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 107268161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*i**4 - 3*i**2 - i - 167 wrt i.\nAnswer: 336*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 4, -3 in descending order.\nAnswer: 4, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532 - 84*w**2 - 532 + 70*w**2 + 6*w**2 + 43*w**2.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {r: 3, l: 1, p: 11}?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4 + 8. Suppose c - 42 = -b + p*b, -2*c + 48 = 2*b. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -368681378 from -0.1.\nAnswer: 368681377.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 5*q**2 + 3*q + 10. Let y be t(-5). Let d(l) = 3*l**2 - 4*l + 6. Is d(y) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 7*s + 2. Let j be f(5). Let o be j\/6*(-18)\/12. Suppose -o*y - 20 = 2*y. Are -6 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**2\/2 + 40. Let s(u) = -u**2 + 2. Let f = 4 + -6. Let c(i) = 3. Let z(l) = f*c(l) + 3*s(l). Give z(v(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.612 + -1.41. Let t = -0.292 + q. Which is smaller: t or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + -3*(sqrt(85)\/sqrt(5) - sqrt(17))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602000213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 2*w**2 + 2*w**2. Let u(t) be the third derivative of 0*t - 1\/12*t**4 + 4*t**2 + 0*t**3 + 0. What is u(f(q))?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 276\/((-27)\/4 - -6). Let s = -64 - v. Is 38 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*t - 35 = 0. Suppose -4*p - t = 5. Let o = -1 - p. Solve 0 = -o*j + 2 + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 18}. Give prob of picking 3 j.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 - 3016*w**3 - 565492*w**2 + 1140048*w - 571536 = 0. What is w?\nAnswer: -378, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 2. Suppose 0 = -0*o + o + 2. Let u be k(o). Suppose -3*n + 18 = -3*a, -u*n + 3*n - 14 = 5*a. Which is greater: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 10. Suppose -9*u - 42 + 132 = 0. Calculate the remainder when u is divided by 16\/s*(-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-256)\/(-1600))\/((-3)\/15). What is the closest to 1 in 1\/7, -0.1, i, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.162 less than -6?\nAnswer: -8.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooto when four letters picked without replacement from ddoddmdodoootododdot.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1771 divided by 1001.\nAnswer: -23\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 7*f - 5. Let z be d(-6). Suppose -b + 1 = -z. What is the lowest common multiple of 6 and -32*(b + 3)\/(-10)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265 - 313. Find the common denominator of 292\/576 + (r\/27 - -2) and -107\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*x - 447 = 756 + 936 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 210*k + 2205.\nAnswer: 5*(k - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, 2\/15, -0.03, -0.2, 1, -1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -98886863*n**2. Let s(p) = p. Determine s(r(d)).\nAnswer: -98886863*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Let d = 5 - 3. Suppose c*q = -q - d*u + 4, -q - 11 = 5*u. Calculate the highest common divisor of 28 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**3\/8 + 6*d**2 + 93*d\/8 + 54. Factor z(a).\nAnswer: 3*(a + 1)*(a + 31)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0*y + 1\/24*y**4 + 0 + 0*y**3 - 24*y**2. Let h(z) = -9 - 1 - 26*z + 10. Determine h(b(n)).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 7*c**4\/12 - 13*c**3\/6 - 45*c**2\/2 + 124*c. Is x(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-25)*0 + -1890000. Round v to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) + (sqrt(13) + 0)**2)*-1 + 5*sqrt(26)\/sqrt(2) + sqrt(13) + -2.\nAnswer: -18 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 16 = 3*r, -4*r + 3*r - 2*g = -6. What is the third derivative of 45*q**3 + 3*q**2 + 2*q**4 + r*q**4 - 45*q**3 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 5*z**2 - 6*z - 2. Calculate m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from lsxxslxssxxalsass?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u - 4. Let s be l(10). Is (-3 - -1) + s - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 3)*(3*h + 0*h - 5*h) + 160 - 162 + 50*h + 41*h as f*h + d and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266532?\nAnswer: 2, 3, 7, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 u, and 1 d when four letters picked without replacement from lummlumuluumllmuud.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p - 14*p - 1 + 6 + 10*p. Let b = 4 - 8. Calculate r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**3*j**2 - 255671*c**3*j - 78*c**2*j**2 - j**2 wrt j.\nAnswer: -12*c**3 - 156*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 17*j**2 - 859*j + 75. Let i be u(22). Calculate the greatest common divisor of 2544 and i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6, 23, 48, 81, 122, 171, 228?\n\"Answer: 4*h**2 + 5*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2 + 407608*x - 108156570 = 0. What is x?\nAnswer: -204069, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let s be (18 - (-11 - -3)) + -24. Let j(w) be the second derivative of w + 53\/6*w**4 + 0*w**s + 46 + 0*w**3. What is j(u(n))?\nAnswer: 424*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 463267597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -453 - -188. Let g = n - -265. Let d be 19\/(-9) - (-10)\/(-10). Which is smaller: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0*b**4 + 0*b + 0 - 3*b**2 + 0*b**3 + 1\/20*b**5. Let u(r) = -r**2. Give q(u(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1105 + 0.3\nAnswer: -1104.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-five eighths of a litre in millilitres?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 14*z. Let a be (7\/105*5)\/((-2)\/(-18)). Suppose -2*m = a*m - 140. Let r(w) = -77*w. Determine m*b(o) + 5*r(o).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64435*q*t**4 - q*t**2 - 111*q*t - 382*q - t**6 + t wrt t.\nAnswer: 1546440*q*t - 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6556*d*y**3 + 4*d*y**2 + 325*d + 2*y**3 - 2*y wrt y.\nAnswer: 39336*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 21*g = -72. Suppose 8 - g = 5*o. Calculate the lowest common multiple of 12 and 6 + -9 - (o - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -0.4, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:33 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0 - 1\/6*q**3 + q + 0*q**2. Let k be u(-10). Calculate the highest common factor of 90 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69005 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -11*k + 37. Let p be r(3). Suppose 2*w - 414 = -p*w. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 26*n**2 + 3*n - 11. Let w(x) = -17*x**2 - 2*x + 7. Determine 5*s(k) + 8*w(k).\nAnswer: -6*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 274*p. Let x(u) = 4*u**2. Determine d(x(k)).\nAnswer: 1096*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*j + 3 - 3 + 662*j.\nAnswer: -167*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2 + (7 - 4 + 1)*(2 + 4 - 4))*(0*h**3 + 22*h**3 + 0*h**3) in the form u*h**3 + p*h + t + d*h**2 and give u.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44363017.\nAnswer: 337, 131641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -32*o**2 - 802*o - 50. Let u be k(-25). Solve 5*f + 27*t - 14 = 25*t, u = 2*f - 2*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001788881 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -262, -388, -512, -634?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -m - 14 + 7, 7*c + 5 = -3*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**3\/7 + 30256*x**2\/7 + 271980*x\/7 = 0.\nAnswer: -7555, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**28)**11\/(l**(-25)*l*l)**(-27\/2))**(-24) assuming l is positive.\nAnswer: l**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 0*z - 2*z**2 - 4 - z**2 + 4*z**2. What are the prime factors of j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12839646.\nAnswer: 2, 3, 61, 35081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3251477 and 698852.\nAnswer: 1001454916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9803.\nAnswer: 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-9) - -1 - (-2057)\/13464.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*f + 5*f = -23, 29 = 5*g - 3*f. Suppose g*p - 10 = 6. Suppose v + p*v = 205. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2045281139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 8*w**2 + 4*w + 10. Let p(x) = x**3 - 4*x**2 - 2*x + 1. Let k(l) = h(l) - 3*p(l). What is k(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a + 19. Let c be g(10). Let t = c - 242. Let y = 130 + t. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 1970*u - 966277. Let x(c) = 2*c**2 - 3939*c + 1932557. Let q(d) = 7*o(d) + 4*x(d). Factor q(a).\nAnswer: (a - 983)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 318 + -163. What is the first derivative of 5*k**3 + 5 + f*k - 155*k wrt k?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9097 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 10 = h, -15 = -2*f - 3*h + 16 - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from amanmeneaynh.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -288*v + 1. Let m be n(-3). Suppose 6*j = m - 145. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/4 + 2303*j**4\/4 + 34817*j**3\/4 - 108715*j**2\/4 - 133822*j - 98515 = 0.\nAnswer: -17, -2, -1, 5, 2318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 - 52. Let p = 69.6 - q. Let i = p + 4.4. What is the second smallest value in i, 1, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*y + 171 = 42*y - 2*n, -y + n = -39. Suppose f = -4*f + 230. Calculate the remainder when y is divided by 2\/6 - f\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15752 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/7 (b) -142 (c) -2 (d) -0.4 (e) -3\/8 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*f + f - 12 = 0, -5*f = -20. Let w(a) = a - 1. Let y(d) = -4*d - 4. Let p(k) = w(k) + y(k). Give p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j - 15 = 5*x - 30*j, 21 = -54*x + 6*j - 141 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) 0 (c) -2\/15 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 139?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.3 minus -0.0376522217?\nAnswer: 215.3376522217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -83171*p + 83118. What is z(1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -216, -563, -1066, -1725, -2540, -3511?\nAnswer: -4638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3 - 2 + 9*f - 1. What are the prime factors of i(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 3) + 4 + (-3 - -18 - -3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 185.1947 kilometers?\nAnswer: 18519470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -18 (c) -2.9 (d) -5\/2 (e) 0.1 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad + -30?\nAnswer: -dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, -343, -1049, -2183, -3829, -6071, -8993, -12679?\n\"Answer: -14*h**3 - 88*h**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 7) in base 8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t + 6*t + 16*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r + 2 - 5*r + r**3 - 4*r**2 - 4*r**2 + 12*r**2. Suppose 0 = 3*h - 3 + 18. What is the least common multiple of q(h) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 at least -610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 258, -0.5, -298119?\nAnswer: -298119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 6*w - 1. Let a(x) = 156*x**2 - 30*x + 1. What is 2*a(c) + 10*l(c)?\nAnswer: 302*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112359, 225814, 339269, 452724?\nAnswer: 566179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3301 + 5040. List the prime factors of c.\nAnswer: 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -1, 39\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 31, 50, 71, 94, 119, 146?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -112121002?\nAnswer: -112121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-0.15\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144985 divided by -4.\nAnswer: 144985\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*t**2 + 110 + 6*t**2 + 2*t**4 + 2*t**2 - 9*t**2 + 6*t**4 wrt t?\nAnswer: 32*t**3 - 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 7*x. Let l be (-1 - 1) + 7 - x. Let z(v) = 6*v - 8*v + l*v. Let q(m) = -2*m**2. Calculate z(q(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 85085690 divided by 10\nAnswer: 8508569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/4 of a hour?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + (-6 - (-8)\/1) - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -6857*s**4\/4 + s**2\/2 - 56*s + 7004. What is the second derivative of c(p) wrt p?\nAnswer: -41142*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*6*sqrt(68)\/sqrt(4)*1)**2 - (-6*(sqrt(153) - (sqrt(153) + (sqrt(153) - sqrt(153)*1))))\/((sqrt(90) + sqrt(90)*1)\/sqrt(10)))*-3.\nAnswer: -16524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4210566 (base 7) in base 8?\nAnswer: 1736030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-57)\/((-11)\/704*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**3 + 11. Let o(q) = 10*q**3 - 21. Let l(a) = 4*o(a) + 7*z(a). What is the derivative of l(p) wrt p?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*r = -2218, 3*r - 446 = -2812*p + 2811*p. Is 107 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -221, -680, -1445, -2516, -3893, -5576?\n\"Answer: -153*m**2 - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12571665*h**3 + 2*h**2 + 5629*h + 1256.\nAnswer: 75429990*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (124\/(-155))\/((-1)\/515)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 11 - 6 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 315.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*c + 8906 - 8786. Let l be (4\/10)\/((-1)\/(-15)). Is c bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11333483.\nAnswer: 7, 1619069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2882 + -5153.62. What is l rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/5))**29)**(-1\/28)*(w*(w*w**8\/w)\/w*w*(w*w**(-1))\/w*w)\/(((w\/(w*w\/(w\/(w**(-2)\/w)))*w)\/w)\/w*(w\/w**(-3)*w)\/w) assuming w is positive.\nAnswer: w**(47\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5763 is divided by 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817403?\nAnswer: 817403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -661452, -1322890, -1984326, -2645760, -3307192, -3968622?\nAnswer: -4630050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -32*y + 2. Let p be b(1). Let o = p - -32. Let x(k) = 0 + 0*k**2 - o*k**2 + 0. Let h(c) = 23*c**2. Give x(h(w)).\nAnswer: -1058*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 653 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954166493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1566462*u**3*w**3 - 165*u**3*w**2 + u**3 - 4*u**2*w**2 - 4*u*w**2 + 2*w**2 wrt w.\nAnswer: 9398772*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -178*l**2. Let r(x) = 4*x. Calculate a(r(p)).\nAnswer: -2848*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2736 + -2826. Put -2, z, -1, 4 in descending order.\nAnswer: 4, -1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 1. Let g(a) be the third derivative of a**6\/120 + 7*a**5\/30 - 17*a**4\/24 - a**3 - 2*a**2. Let l be g(-15). Let u = l - 19. What is w(u)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103 - -98.15. Let q = -0.96 + 6.06. Let f = u + q. Round f to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 935733 - 935733.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/12 + 4*n**3\/3 + 9*n**2\/2 - 16*n. Let k be g(9). Solve -2*u = -u + 4*o, k = -4*u - 2*o + 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.389091 nanograms?\nAnswer: 0.000008389091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5919389 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 6*g**2 - 4*g - 3. Suppose 4*n = 4*b + n - 29, b = -4*n - 7. Let w be r(b). What is the derivative of -4 + u**4 + w - 2*u**4 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6553, -13157, -19759, -26353, -32933, -39493?\n\"Answer: g**3 - 5*g**2 - 6596*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-8) + 5\/20)*4. Suppose 0 = -i*p + 48 - 0. Let r = 11 + p. Is r less than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 21*k + 50. Let z be x(-10). Let l be (34 - 2) + (0 - 2). Suppose 370 = 4*t - l. Calculate the greatest common factor of t and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2. Let q(c) = 6*c - 5. Let x(a) = 7*a - 4. Let h(s) = -7*s + 3. Let t(y) = 2*h(y) + 3*x(y). Let n(d) = -6*q(d) + 5*t(d). Determine j(n(p)).\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17c111 (base 14) in base 9?\nAnswer: 1520074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 6*a**2 - 7*a + 2. Let d be k(7). Let b(w) be the third derivative of w**4\/24 - w**2. What is the units digit of b(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -519178\/35 - -14832. Calculate the common denominator of y and -41\/55.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-3 - -1) - 0) + 0. Solve p*r - 24 = 4*y - 4*r, 5*y - 2*r + 15 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202375 and 424178?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:41 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevvehhvtuehvv. Give prob of sequence uh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7297 <= 7298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1355.6 + -1351.6. Which is the closest to 1? (a) 1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3387 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i. Let g(c) = -c. Let h(d) = d. Let u(m) = -g(m) - 2*h(m). What is u(a(w))?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.1910567 milliseconds?\nAnswer: 0.000019850945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -56, -86?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) 16 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90508 is divided by 862.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 7. Let c be v(7). Let p(t) = t - 4. Let f be p(c). What is the biggest value in f, -1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2923381 is divided by 6425.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a210c2 (base 15) to base 5\nAnswer: 3432323212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1011200 and 1264000.\nAnswer: 5056000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1789886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from pfppfppp.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4853, 9703, 14567, 19451, 24361, 29303, 34283?\n\"Answer: b**3 + b**2 + 4840*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 25788.\nAnswer: 206304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2 + j + 5 + 2 + 6. Let d be i(0). Suppose -5*f - p + 6*p + 10 = 0, -d = 5*f + 2*p. Which is bigger: -3\/7 or f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3034 by -2.\nAnswer: -1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217258 - -59758. Round l to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6000)\/(-5040))\/(65\/(-39))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 18)\/(6\/(-9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 17*y**2 - 15*y + 23. Let t be c(-16). Sort 3, -1, t in increasing order.\nAnswer: -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 1135 = 5*b, -b = -d - 108 - 113. Let p be 27\/(-2 - (1 + -4)). Suppose -l + 5 = -p. Calculate the highest common divisor of b and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 + 47 - 1)*(-2*t**2 - 2*t**2 + 2*t**2) in the form j + u*t + f*t**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 838578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-33)\/7 + 5 - (-2)\/(-7). Suppose -2*f - 2 = -5*o, -5 = 3*o - 0*o + 5*f. Suppose o*q = -3*q + 9. Solve a*y + 30 = -5*y - 2*u, -2*u + 2 = -q*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 9 = 4*o + 41, -4*o = 3*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 152.56 to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 12. Suppose x - 3 = q, 0 = q + x - 2 - 5. Let i = q - 6. Let a be v(i). Solve 0 = 4*r - a*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.136 - -0.064. Let d = k - 4.1. Let u = 365\/8 + -46. Which is the nearest to 0? (a) u (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 5*g**2 - 2*g - 1. Suppose -2*l + 8*l = -144. Let f = 32 + l. What is the remainder when j(-4) is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0. Let m = 10\/53 - 256\/795. Let x = 2.44 - 2.54. Which is the second smallest value? (a) i (b) m (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 12) + 1 - ((1 - 0 - 5) + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 527*w - 5263. Let c be p(10). Which is bigger: c or -1068?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2. Let z(m) = m**2. Let v = -15 + 11. Determine v*z(i) + 3*h(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*h + 30 = 0, 51*g + 57*g - 105*g + 3*h + 30 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(130)*-5 + 2*(sqrt(130) - sqrt(130)*-2)))\/((sqrt(420)\/sqrt(7))\/sqrt(6) + 1*sqrt(60)\/sqrt(6)).\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 10*j - 15*j + 497, 245 = 2*i - j. Suppose -l - i = -125. Solve 0*n = -l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(5)*-2*3))**2 + (sqrt(539)*1)**2*-5.\nAnswer: -97009\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -8, 0.4, -0.4, -23, 125?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27648156 and -527.577.\nAnswer: -27648683.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 45894036.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 11\/39*w**3 - 4 + w - 5\/13*w**2 + 1\/130*w**5 - 7\/78*w**4. Factor y(u).\nAnswer: 2*(u - 5)*(u - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -p + 28, 48 = 3*p + 3*y - 6. Let a(o) = -o**3 - 131*o**2 + 156*o + 3200. Let z be a(-132). Calculate the highest common factor of p and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1\/(-2)) + 3. Let i = 0.132 + 0.068. Let q be (-13)\/2 + 35100\/5304. Which is the closest to i? (a) -5 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9d0a (base 15) to base 2\nAnswer: -1000001000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - (sqrt(176) + 0 - sqrt(176))) + -2 + sqrt(176) + -3 + -2 + sqrt(176) - (-6*sqrt(176)*1 + (sqrt(176) - (-1 + sqrt(176))) + -2)**2.\nAnswer: -6344 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7169 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 160 (b) -3\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/30)\/(103\/5150)*6\/25?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v**(1\/3)\/v)\/v)\/v)\/v)**(-14)\/(v\/(v**(2\/5)\/v)*v*v*v\/v**(-2\/29))*((v*v\/v**(-3\/16))\/(v**(-4\/5)\/v))**(-9\/8) assuming v is positive.\nAnswer: v**(313795\/11136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-255)\/(-17) - 4)\/107. Is l > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 537 - 476. Calculate the remainder when 485 is divided by u.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**3 + 0*z**3 + 6*z**3.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 2 - t + 2 - t**3. Let u be n(2). Let i = u - 2. Is i less than -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4) + ((-13908)\/(-48) - 4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-14)\/(-7))\/((-3)\/1))\/(-4*(-20)\/(-1800)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(7\/4)\/q))\/q**(-13))**(12\/13) assuming q is positive.\nAnswer: q**(159\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.04989053?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/2 + (2 - 1). Let z(k) = k - 1. Let u(n) = 4 - 1 + 2 - 3*n - 2. Determine b*u(s) + 2*z(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 53121600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(242) - (sqrt(242) - (2 + sqrt(242))*2))**2 + 4).\nAnswer: 1056*sqrt(2) + 5928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -24. Let j = -9 + l. Which is the third biggest value? (a) 4\/7 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 1\/4, 837, 1\/2, -2\/27 in ascending order.\nAnswer: -2\/27, 0.05, 1\/4, 1\/2, 837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 0.5 (b) -40\/3 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) 0.2 (c) 34 (d) -2\/25 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4162261, 8324520, 12486779, 16649038, 20811297?\n\"Answer: 4162259*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 17.08, -3, 4\/3, 1\/4, -2 in descending order.\nAnswer: 17.08, 4\/3, 1\/4, -2, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945210.\nAnswer: 2, 3, 5, 131507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 - -26.3. Let f = t - 26. Let o = 0 + 2. What is the second biggest value in f, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*((sqrt(153) - sqrt(153)*2) + sqrt(153)))\/(5*sqrt(18)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318688365 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) + (sqrt(99) - (((-1 + sqrt(99) + 2)**2 - sqrt(99)) + sqrt(99))) + -2 + 0 + (2*(sqrt(99) + -3)*-3 + 2)**2.\nAnswer: -720*sqrt(11) + 3862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*(sqrt(6300)*-1 + sqrt(6300)))\/(-2*((sqrt(9) + 4*sqrt(27)\/sqrt(3) - sqrt(9) - sqrt(9)) + sqrt(72)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001153822 to 7 decimal places.\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**3*f\/(f*f**5*f))**36\/(f**1\/f**(-2\/7)*(f**0\/f)**(-5)) assuming f is positive.\nAnswer: f**(-296\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 3, 2, -3 in descending order.\nAnswer: 5, 3, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 174*a**2 + 2*a - 3. Let v(f) = -2*f**2 + 2. Give -r(i) - v(i).\nAnswer: -172*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-4) - (-7)\/(-4). Let x = -1310 + 1288. Let a = n - x. Calculate the greatest common factor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 19.1966?\nAnswer: -18.7966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -1 - (-7)\/(-7). Suppose -53 = -3*o + 4*v, a*v = 3*o + o - 72. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyyhyyhyyyhhyhhyhydy. What is prob of sequence dhh?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o + 3. Let c(j) = 20*j + 17. Let i(x) = 3*x. Let l(n) = -c(n) - 3*i(n). Calculate -6*l(t) - 34*p(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 882840 and 37836?\nAnswer: 2648520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3685*p + 4 = 3689*p - 4*o, -3*o + 37 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + m = -3*m - 12, -3*m - 5 = -2*j. Let k = -5 + 10. Suppose p - j*z - 1371 = 1421, k*z = 3*p - 8390. Round p to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = 2*k. List the prime factors of 53\/k - (-21)\/14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 9*s**2 - 28*s - 249. Let a be t(-9). Solve -z + 3*w + 13 = -0*z, 3*z + a*w - 3 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6431974.29s?\nAnswer: 10.634878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 6*x. Let w(z) = -z**2 + 7*z + 4. Let a be w(7). Suppose 0*d + 12 = -a*d. What is q(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*j + 4*j**2 - 5*j + j - 3 as t + m*j + r*j**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -11. Let i(q) be the third derivative of -q**4\/8 + q**3\/6 - 3*q**2. What is i(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1340956*w + 1. Let l(n) = -4*n**2. Give m(l(t)).\nAnswer: -5363824*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62266 and 2674?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084 to 4 decimal places.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252543980 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 37341?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91128627.\nAnswer: 3, 59, 171617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -3*(sqrt(425) - (sqrt(425) + -1)))*5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let b be n(4). Let r = -100 - -188. Suppose b*o + r = 9*o. What is the least common multiple of 6 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 596147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m + 22. Give y(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 701*o**2 + 399*o + 2729. List the prime factors of y(-7).\nAnswer: 5, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 10 = -7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 + v - 33. Let d be f(-6). Let o(s) = s**3 + s**2 - s + 9. Let k be o(d). Put k, 2, 3, -12 in increasing order.\nAnswer: -12, k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74456 and 539191?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56245, -104890, -153535, -202180, -250825?\nAnswer: -299470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1088198487 and 7?\nAnswer: 7617389409","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 18 = 3*o + 5, 4*o = -d. Solve -4*u = -5*g + 5, -4*g + 0*u - 2*u + d = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/22 and (-4)\/(-28) - (-818)\/(-3080).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 973675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i + 4*i - 22*i)*(0*i**4 + 2*i**4 - 3*i**4).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -513*t - 1677*t - 2211*t - 2644*t.\nAnswer: -7045*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - ((-4)\/7 + 0). Let o = 3.13 + -3. Let y = -0.13 + o. Which is the closest to y? (a) m (b) -0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16336\/5 - -3268. Let i = -1 + 1.1. What is the closest to i in -1, 2\/15, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 - 3 - 2*w**2 + 1 - 19*w**2.\nAnswer: -29*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 18424500 to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - (-139 - -86 - -96)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*u = u, -u = -d. Suppose d*r - r + 28 = -c, 5*r = -c + 170. Let l = r - 14. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*a - 14 + 14)*(-2*a**2 - 1 + 1)*(-6*a + 4*a + 0*a) in the form q*a**3 + g + c*a + u*a**4 + h*a**2 and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 4*c + 31, 0 = 25*t - 13*t + c - 17 - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 70.86 * -1.6775\nAnswer: -118.86765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.7456124ns to minutes.\nAnswer: 0.00000000002909354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -7*l + 4704 - 4701, -2*n + 2*l - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/2 - 1751*k**2\/2 - 10549*k\/2 + 12299\/2 = 0.\nAnswer: -7, 1, 1757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2649 by -883.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -126*b**4 - 256 - 25*b**3 + 15*b**3 + 16*b**4 - 23 + 12*b**3 wrt b.\nAnswer: -440*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 372*j**2 - 499*j - 4. Let v(q) = -q**2 - q - 1. Let t(l) = c(l) - 4*v(l). Find the second derivative of t(o) wrt o.\nAnswer: 752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 3*c - 15. Let h(i) = 3*i**2 + 8*i + 44. Let s(u) = 3*h(u) + 8*l(u). Suppose 4*g + g = 0. Calculate the remainder when 23 is divided by s(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 230.336.\nAnswer: 92.1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -16.1. Let k = a - 0.7. What is the third smallest value in k, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1128 and -23\/179976.\nAnswer: 8458872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = -2*v + 3*w, -v - 11 = 5*w. Suppose 5*r + 5 = 2*z, 2*r + 4*z = 3*r + 1. Put v, -4, r in descending order.\nAnswer: v, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54)\/(-81)*(-3)\/7 - 8\/(-126). What is the third smallest value in -14, 0.3, m, 0, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/6 + 81*t. Let q(c) = c - 2. Let j be q(2). Let f(n) = -5*n + j*n - 2*n. Give f(b(g)).\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12817683 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-125)\/450)\/(4\/3)*(-2)\/(-5).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-14 - (-15 + 7) - -13 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 17 = 3*t - 10*n - 67, 1 - 20 = -4*t - 5*n + 48 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -101 - -100 - (-26)\/2. Solve -2*g = -4 + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/673 + -84287\/12114. What is the common denominator of o and -55\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgi when three letters picked without replacement from {g: 2, i: 1, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 216 = 0, 3*p + 50035*l + 45 = 50036*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2427 (base 9) in base 6?\nAnswer: -12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/238 and -47\/7418579.\nAnswer: 14837158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2202667 - 398684573\/2033061641. Let q = y - -3\/71. Which is the nearest to q? (a) -5 (b) 5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280553 is divided by 212?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -19*l + 24*l. Let r be 7 + (0\/l - -6). Solve r = d + d + 3*q, 5*d + 4*q - 15 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 2 + (-4)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2521*m - 551 = 2550*m for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2 + 64*d - 1185 = 0.\nAnswer: -79, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**4 - 3*t**4 - t**4 + (0 + 2*t**2 + 0)*(50*t**2 - 1064*t + 1064*t) as y*t + s*t**2 + l*t**4 + n*t**3 + w and give l.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1654*f - 65326 + 82091 = -84129 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-4)\/(-36))\/(8\/8)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 231318 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/46915561 and -37\/847.\nAnswer: 516071171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 2285973.\nAnswer: -11\/2285973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -213 + 317. Calculate the greatest common divisor of t and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q - 5. Let h = -213 + 210. Let f(m) be the first derivative of 2*m**2 + 4*m + 2. Let w be (-2)\/(-3) + 14\/(-3). What is h*l(a) + w*f(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 10*w**2 + 5*w - 1. Let b be s(-4). Let f = -30 + b. Calculate the greatest common divisor of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -145. Solve 5*d - 2*d - 2*c = 9, 4*c - l = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 33, 83, 153, 249, 377, 543, 753?\n\"Answer: k**3 + k**2 + 26*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1216, -1258, -1300, -1342?\n\"Answer: -42*k - 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4100, 4105, 4112, 4121, 4132, 4145, 4160?\n\"Answer: r**2 + 2*r + 4097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27255 and 4864155.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.35, -3, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 65\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h**2 - 2072*h - 33*h**2 + 2072*h + 11 in the form u*h**2 + r*h + k and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 1. Let m be ((-93)\/(-12) + 5)\/(8\/(-192)). Let j(k) = 170*k - 153. Give m*s(w) - 2*j(w).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866271 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 818 divide 27504178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 4662205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -311, -698, -1237, -1928?\nAnswer: -2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 213\/2. Put 0.4, x, -2 in descending order.\nAnswer: 0.4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**2 + j + 2. Let k(n) = 5*n**2 + n + 3. Let q(d) = 3*k(d) - 4*u(d). Let f(s) = 3*s**2 + 6*s - 4. Give -f(p) - 4*q(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6757 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = 120. Let r be 15\/(-6) + (-30)\/(-20). Is 1 + (-1)\/(r\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45497, 5, -2, -5 in descending order.\nAnswer: 45497, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*(103 - 101).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 8*l + 16. What is the tens digit of j(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x + 17. Let g be 2 - (-6 - 1) - 2. Let j = g - -6. Let s(m) = -70*m + 32*m + 5 + 34*m + 3. What is j*s(c) - 6*n(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5210?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1941 times -0.0427?\nAnswer: -82.8807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4242 - 4236. Which is the closest to 0.2? (a) -5 (b) 0.1 (c) t (d) -136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**3 - y**3 - 3*y**3 - y**2 - y**3 + y**2 + (2*y**2 - 6*y**2 - 2*y**2)*(3*y - 2*y - 3*y).\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*5930\/593\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 798075.\nAnswer: 5586525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6086, -6084, -6082, -6080, -6078?\n\"Answer: 2*d - 6088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1173 and 51.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1377) + -3 + -1 - ((-1 + sqrt(1377))*-5 + -2))**2.\nAnswer: -756*sqrt(17) + 49621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22519 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gld when three letters picked without replacement from qgdllluldlqd?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 505*h - 49230. What is x(373)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(12\/(-4) + 2). Let w be 5\/15 + 55\/b. Let n = w - -51. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -413*d - 4373. Is r(-27) a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-3\/8))*q)*q*q\/(q*q*q\/q**(-14\/5))*((q\/q**(-1))\/q)**14)**(-4\/15))**(-18) assuming q is positive.\nAnswer: q**(1179\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066 less than -28887864239?\nAnswer: -28887865305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 + 371450*z**4 + 17242243750*z**3 - 431288281250*z**2 = 0. What is z?\nAnswer: -92875, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 5. Calculate y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 931738 and 206.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -178661.\nAnswer: 893305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -7.3413.\nAnswer: -22.0239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101011110100100001101 (base 2) in base 13?\nAnswer: 3b3772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850.8816 minutes to microseconds.\nAnswer: 51052896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.4, -2\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-17120\nAnswer: -6848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**3*s - 730*n**3 + 32*n*s - 2*n - 10*s wrt n.\nAnswer: -18*n*s - 4380*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.1. Let d = 3\/791 - 49893\/15820. Let j = 11\/4 + d. What is the nearest to 1\/2 in w, j, -3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544543 is divided by 544497?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*i - 572*i + 1210 - 6709 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -37*i**2. Let d(n) = 9733 - 9733 - 6*n**2. What is z(d(s))?\nAnswer: -1332*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y - y - 9*y**3 - 3*y**3 + 13*y wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-3)*3\/2. Let v(n) = 1 + n**2 - 11*n + 18*n - j*n. What is v(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14195 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-2)*-2)\/((-112)\/(-58016)) is divided by 87.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47325 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -160*f**5 - 588*f**4 + 3680*f**3 + 16404*f**2 + 4184*f - 23520 = 0.\nAnswer: -4, -147\/40, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -1352?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 585, 586, 587, 588?\n\"Answer: x + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -88. Suppose -5*l = 20, -2*m - 3*m = -5*l - j. Let r = -6 + 10. Solve -r*x + 21 = m for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 6*2\/(-4). Let n = 22 - v. Let z(d) = 3*d**2 + 10*d - 6. Calculate the lowest common multiple of n and z(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t**5 + 53*t**4 + 67*t**3 - 21*t**2 - 76*t - 32 = 0. What is t?\nAnswer: -4, -1, -8\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 8*v**2 - 18*v. Let j(i) = -i**2 + 3*i + 8. Let a be j(4). Let n be r(a). Let o(c) = c + 10. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*n**4 + 16*n**3 - 4*n - 3 wrt n.\nAnswer: 168*n**2 + 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*m - 4900. Let v = 1009 + m. Is 46 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*d - p, p + 132 = 4*d - 2*p. Calculate the highest common divisor of d and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1643*i**3 - 280*i**3 - 673*i**3 + 2212*i**3.\nAnswer: 2902*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 38*t**2 - 35*t**2 + 3*t - 931*t**2 + 1004*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1119356 divided by 11422.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-4)\/(24\/27)*-26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 = -2*h + 3, -3*s = 5*h - 12. Suppose 5*g + h*g = 2104. Let r = 1222 - g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 0.3, 1, -2400, -0.8, -0.3, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14) + (-16)\/(-56).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 121 = -141*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*t + 14 = 0, 2*o + 74*t + 8 = 72*t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.08, 73, 5, -2\/21?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28.4 + -134.6. Let q = 163.000171 + r. What is q rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 + 20504*s**2\/3 + 26275876*s\/3.\nAnswer: 4*s*(s + 2563)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8149 at most as big as 8149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:22 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3497, 3496, 3495?\nAnswer: 3494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 42) + (-469 - -486)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16932849394243\/6421860921531 - 0\/21. Let s = t + -20\/113074867. Let r = s - 2\/5163. What is the common denominator of r and 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 12*v + 10. Let u be k(-8). Let c = -2 - u. Solve -4*q = q + c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 822, -1092, -0.1, 1?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 37697974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1677*t - 1020. What are the prime factors of z(3)?\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19735609, -78942428, -177620457, -315769696, -493390145, -710481804, -967044673?\nAnswer: -1263078752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f - 1350 = 0. Let w = f - 6833\/10. Calculate the common denominator of w and -97\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006631 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20204715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 883947567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 1.02. Let k = r - 0.32. Let f = 68\/27 + -1\/54. Sort f, -5, k.\nAnswer: -5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 62 in increasing order.\nAnswer: 4, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*w - 490 = -1102 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 - (-5 + 5 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**2 - 31 + 0*n**4 - 1\/3*n**3 + 1\/5*n**5 + 0*n. Suppose s(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -38, 11 in decreasing order.\nAnswer: 11, 3, -2, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-11))\/(6\/(-24)) + 1. What is the greatest common divisor of 136 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:51 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -71?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 9:26 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-72) - 6\/(-9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*g - g + 36, o - 6 = 2*g. Which is the biggest value? (a) o (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 7, n: 9}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5051*f**5 + 249*f**2 + 49*f + 9. Let z(a) = 2527*a**5 + 124*a**2 + 24*a + 4. Let k(t) = -4*o(t) + 9*z(t). What is the third derivative of k(i) wrt i?\nAnswer: 152340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**3\/5 - 696*v**2\/5 + 2836*v\/5 - 2136\/5 = 0 for v.\nAnswer: -178, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120950?\nAnswer: 2, 5, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n\/n**(-2))))**(3\/5)\/(n**(-11)*n*n*n*n**12*n))**(-16\/3) assuming n is positive.\nAnswer: n**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Suppose 0 = b*h + o - 19, o - 6 = 2*h - 2*o. Find the common denominator of 43\/18 and 1 - (-201)\/(-72)*h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 3 - (-1)\/1. Suppose 0 = 4*k - 7*k - q + 11, u = 4*k + q - 15. Find the third derivative of -2*m**4 + 2*m**2 + m**k - m**2 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let z(w) = 3 + 0 - 4*w**2 - w**3 + t - 3*w. Let u be z(-4). What is the greatest common divisor of u and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 950\/151?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3*(sqrt(304)\/sqrt(8) + sqrt(38)) + sqrt(342)*-3)\/(-2*(sqrt(50) + 1*sqrt(1250))))**2.\nAnswer: 475\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 15*g**2 - 57*g + 276. Calculate q(13).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 7:15 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -18\/12037 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/((-875)\/30))\/((-15)\/(-3700)*1))\/4\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -497706 and 322?\nAnswer: -160261332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 3\/28*y**4 + 16 - 3\/7*y**2 + 1\/7*y**3 + 0*y. Factor u(k).\nAnswer: 3*k*(k - 1)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*z + 303 - 303.\nAnswer: 136*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:55 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8725, 9412, 10101, 10792, 11485, 12180, 12877?\nAnswer: 13576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**8\/40320 + v**7\/2520 - v**6\/360 + v**5\/60 - 2*v**2. Let o(s) be the third derivative of r(s). Factor o(m).\nAnswer: -(m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.4659 + -0.0659. Let m = -51.4653 + k. Round m to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*h - 4*a - 23 = 207*h, -11 = -h + 2*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31.2 or -2\/163?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3571 or 3574?\nAnswer: 3571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f + f**2 - 2*f**4 + 4*f**4 + 5*f - 3*f - f**3 to v*f + n*f**4 + p*f**2 + u + m*f**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9584779 + 5484779. Round u to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 8*p**2 - 7*p - 3. Let q be n(7). Let h = q - -6. Suppose h*z = z. Solve z = 2*r - 3*r + 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279 - 18788?\nAnswer: -17509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 41*b + 57*b - 98*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*3*(-10 - 1488\/(-144))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*5*(-57)\/(-15). Suppose 4*t = 25 + f. Suppose -5*g - t = -51. What is the highest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.067 * 0.000218.\nAnswer: 0.000014606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 0*m**2 - 2*m**2 + (-7 + 2 + 3)*(2*m**2 - 5*m**2 + m**2) + (9*m + m - 3*m)*(4*m - 7*m - m).\nAnswer: -29*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51483 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 15) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10190 + 12711. What are the prime factors of a?\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.5017 milligrams in micrograms?\nAnswer: 959501.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -456\/67619 + 557645287\/98994216. Let p = -2\/122649 + -6254855\/14963178. Let c = p + v. What is the common denominator of 137\/24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 6\/5, -13155, 0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + (-4 - (-3 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49105 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*r**2 + 171*r**2 - 149*r**2.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/247 - 156\/(-38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 9*g**2 - 4*g - 4. Let w = 19 - 28. Let n be t(w). Suppose 5*h = -5*b + 50, h = -2*h - 4*b + n. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 402 + -751\/2. What is the common denominator of x and (-169)\/(-18) - (0 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -9. Suppose j + 2 = 18. Suppose 9*b - 7*b = -j. Sort q, b, 0 in decreasing order.\nAnswer: q, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(1*sqrt(9)) - (4*sqrt(2) + 4).\nAnswer: -3*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, -223292 in decreasing order.\nAnswer: 37, 3, -223292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12200 and 11712.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.98 + 0.02. Let u = 45.09 - s. Let v = 0.09 - u. Which is the third smallest value? (a) 4 (b) v (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 11 = 3*b - 0*w, b + 2 = 5*w. Find the first derivative of b*p**4 - 4*p**4 - 1 + 0 wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 + 65. Let h = s - -3. Let c = h - -49. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3 - 680*w**2 - 47920*w - 180480 = 0. Calculate w.\nAnswer: -48, -4, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -10769.944 to the nearest ten.\nAnswer: -10770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from {y: 4, g: 5, l: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) -209 (c) 3351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 554\/11 + -50. Put 2, -0.3, d in descending order.\nAnswer: 2, d, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-10)*p*p**(-1\/20))**33 assuming p is positive.\nAnswer: p**(-5973\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(2\/43)\/o))**(1\/19)*(o\/o**(-2))\/(o**(-3\/13)\/o*o) assuming o is positive.\nAnswer: o**(35406\/10621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11421\/2705 + 12\/541. Put 0.1, a, 41 in decreasing order.\nAnswer: 41, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -338 (base 9) to base 5.\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*y = 2*t + 8, 6904*y + 2*t - 1 = 6899*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 16*s**2 + 197*s + 1754. What is the remainder when l(-8) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27410270*b*j**2 - 80531*b - 599*j wrt j.\nAnswer: -54820540*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 6*y**2 - 5*y + 4. Let g be (5\/(-5) - -4)*-18. Let n = g + 59. Let t be p(n). Solve -t*c - 5*l = -16 - 15, -2*l = 5*c - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 4*n + 3. Let h be v(-4). Suppose h*p + 5 = 38. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/25 - (-336)\/(-175). Which is the nearest to -1\/4? (a) -13 (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0.1 (c) 0.4 (d) 3.5508 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 9 = l, 0 = -5*l + 3*w - 4*w + 12. List the prime factors of 3 + 3\/(l\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p - 4. Let s = -41 - -24. Let d be i(s). Suppose 0*m - c = 5*m - 135, 2*c = 3*m - d. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+4813368888366\nAnswer: 4813368888371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1357 and 54947.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v = 2*b + 10, 5*b + 4 = 2*v. Is b bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g = -5*g - 144. Let u = 14 + -14. Suppose -3 + u = -a. Solve 4*m = a*w - g, m + 13 = -w - 3*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24915745 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 7*x**4\/6 - x**3\/2 - 6*x. Find the second derivative of p(u) wrt u.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-4)\/26 + (-1175)\/1235. Suppose 1 = -2*w - b + 2, -5*b = -2*w - 29. What is the biggest value in w, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 199 + -68. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i + 1. Let m(r) be the third derivative of -2*r**5\/3 - 303*r**2 + 10*r. Determine m(h(d)).\nAnswer: -1960*d**2 + 560*d - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 298*f + 4780. What is v(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:38 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 406 and 2450819.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2\/9 - 2167*t\/3 - 307756\/9 = 0.\nAnswer: -47, 6548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*t = 20, -36*b = -37*b + 2*t + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-12 - -1)) + (3 - 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zccmsmrmmzrrumcmzr. What is prob of sequence zmr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1097 - -1099.0316. Let c = j - 0.0316. Put c, -5\/6, 0.05 in increasing order.\nAnswer: -5\/6, 0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 953086440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.266056 years to months.\nAnswer: 15.192672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4428 = -864*d + 27540 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3406651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 62*w**2 + 811*w + 58. Give x(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**5)\/f)**(-1\/90)\/(f**(-6\/11)\/(f*f\/(f**(-9\/4)*f))) assuming f is positive.\nAnswer: f**(1525\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -q + t, -3*q + 22*t = 27*t - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -28, -1\/6, 439, 55\/4 in descending order.\nAnswer: 439, 55\/4, 3, -1\/6, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**6\/15 + 5*v**4\/6 + 2*v**3\/3 - 6*v**2 - 36*v - 2. Find the second derivative of d(j) wrt j.\nAnswer: -24*j**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1043392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*b + 1822 = -8. Sort -6, 2, 3, b.\nAnswer: b, -6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 2858*d + 21 = 2857*d, 11 = 5*l - 3*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/21)\/(125\/300*16\/20)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79427\/15 - 5295. Let q = -4 + -1. Suppose -2 = 3*i - 14. Which is the second smallest value? (a) i (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 329 divided by 17456\nAnswer: 329\/17456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 6, 13.32, 11, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*5525\nAnswer: -11050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = b - 3*b + 5, -d + 1 = 0. Let w = -1 + -3. Let q be 92\/9 + w\/18. Calculate the greatest common divisor of q and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.20925127 from 3.31323.\nAnswer: 3.10397873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three thirds of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(sqrt(208) - (sqrt(208) + 2)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215701224?\nAnswer: 2, 3, 19, 31, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(84)*-4)\/(sqrt(24)\/(sqrt(2) - 2*sqrt(2))) + -1 + -4.\nAnswer: -24*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 455\/49 + 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (-11)\/(-3))*6. Suppose -4 = -r*n + 8. What is the smallest common multiple of 22 and n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 1. Let d(t) = -16*t + 146. Let k(c) = 34*c + 35. Let n be k(-1). Let s(g) = n*d(g) + 4*q(g). Differentiate s(v) with respect to v.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least -16.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15.7 and -11629246661.\nAnswer: -11629246645.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43877.0218 + 43881. Let q = -0.0218 - u. What is the third smallest value in 15, 3, q, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**5\/120 + 11*j**4\/24 + j**3\/6 - 5*j**2. Let z(o) be the first derivative of u(o). What is z(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000060080906 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1, -3\/4, -7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 >= 2233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 5. Let n(k) = -1. Determine -d(r) + 3*n(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 2. Suppose -15 + 40 = -5*x + 4*m, j*x = -4*m - 20. Let y(w) be the first derivative of -w**4\/4 - 4*w**3\/3 + 2*w**2 - 6*w + 1047. Determine y(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 8679372*w\/5 - 9416437289298\/5.\nAnswer: -2*(w + 2169843)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -2*t**5\/55 + 95*t**4\/22 - 4606*t**3\/33 + 2209*t**2\/11 + 555. What is p in n(p) = 0?\nAnswer: 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296900581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 8*x**2 + x - 3. Let b be q(8). Suppose c + b*d = -18, -3*c - 16 = 5*d - 2. Suppose -g = -c*g. Solve -z = -0*n - 4*n - 25, 5*n + 5*z = g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.1 + 72.1. What is the nearest to d in -4, 3\/5, -20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 36*x**2 + 39*x - 141. Let g be j(35). What is the closest to g in -0.4, 1, -1\/14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 + 120*a**2 + 625*a - 750 = 0. What is a?\nAnswer: -15, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 65, 124, 209, 320, 457, 620?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(4 - -1) - -49. Suppose 3*s = 51 + 45. Let b = w - s. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 18*t**2 + 33*t - 5. Let g(k) = 21*k**2 + 34*k - 4. Let d(h) = -5*g(h) + 6*u(h). Let l be d(-10). Solve l*s - 6 = 12*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22156296 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2510 - -3794. Is 1\/2 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 times -3838\nAnswer: -575.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-78)\/21 - 0. Which is the closest to -1\/2? (a) -5 (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*i - 7638 - 4244 = 3197 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 17*v**2 - 14*v - 18. Let q be c(16). Find the common denominator of (78\/15)\/((-8)\/q) and -19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228171*0.26\nAnswer: 59324.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8593554*g**3*s**3 - 8690*g**3 - 2*s**3 + 555*s wrt s?\nAnswer: -51561324*g**3*s - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 3. Calculate the least common multiple of 8 and o\/((-28)\/16) - 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-45)*(-10)\/(-4). Suppose z*a - 18 = -2. Differentiate a - 3*c - 7 + 4 + 3 wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 7, 4, -20, 2, 5 in decreasing order.\nAnswer: 7, 5, 4, 2, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - f + 5*u - 63 = 0, 2*u + 12 = f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -240, -234, -216, -180, -120, -30?\n\"Answer: b**3 - b - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/8 of a millisecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3362, 14611, 34158, 62657, 100762, 149127, 208406?\n\"Answer: 109*z**3 + 3495*z**2 + z - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -293.46 - -295. Let g = -1.94 + x. Which is the second smallest value? (a) -1 (b) g (c) -1\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*k**5 - 124*k**3 + 61*k**2 - 122.\nAnswer: 4980*k**2 - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 823, 1\/3, -1?\nAnswer: 823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72417233 is divided by 246.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 600 = 8*y - 328. What is the remainder when y is divided by -39*-4*6\/24?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/((-3)\/1))\/((-4)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -244. Calculate the highest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 377*p - 1896. Give b(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*f + 5*f. Let j = 3 + -2.9. What is the closest to j in f, -2\/3, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4669 by 4669.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 294 and -0.5?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u**2 - u + 2. Suppose 3*y + 18 = -4*a, -2*y - a + 4*a = -5. Let q be c(y). Solve -4 = 3*j - 5*m, j - 6 = -q*m - 2*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168702.\nAnswer: 2, 3, 31, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = -2*z. Let y be 0*z\/12 + 3. Suppose 0 = -y*a + 78 + 21. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/206665 and 93\/10?\nAnswer: 413330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 + 61*o**2 + 43*o - 6. Let j be u(21). Solve -10 = -w - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*u - 3622 = 12146. Solve 147*l - u*l = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1.9\nAnswer: 1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + x. Let g = -22 + 28. Let r(s) = -10*s**3 - s**2 + 5. Let f(d) = g*b(d) + r(d). Is f(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:35 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*x + 832335 - 53001281. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*r = 2*r - 36, 4*r = -2*q - 8. Let f = q + 10. Suppose 3 = -n + 2*g + 20, f = -n - g + 32. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = k, 0*a + 12 = 2*a + k. Suppose 0 = -a*g + 37 + 3. Calculate the remainder when 19 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 4*c = -5*i - 2*c + 279, -2*c - 119 = -3*i - 7*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 29*b**7\/14 + b**4\/6 - 29*b**3\/3 + 359*b. What is the third derivative of n(z) wrt z?\nAnswer: 5220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 + 72*h**3 - 156*h**2 + 80*h = 0. What is h?\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 2840*j + 403280.\nAnswer: 5*(j + 284)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 - r + r)*(23*r + 76 - 39*r + 23*r).\nAnswer: 21*r**5 + 228*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8637 divided by -2\nAnswer: 8637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 14766515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02074 - -28.97926. Sort -0.3, 0.5, -8, 2, a in ascending order.\nAnswer: -8, -0.3, 0.5, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -4\/7, 3, -9, -3, -7.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 402*o + 3125. Determine i(-5).\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*c = -30, 24 = -0*m - 2*m + 5*c. Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6273 = 7*h + h - 6281 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 minus -0.02731145713?\nAnswer: 0.49731145713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 14, e: 5}. Give prob of picking 4 p.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 575672*m**3*s + 1526*m**2 - 2*m*s + 5 wrt m?\nAnswer: 3454032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -3 + (-6 - -1) + 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z - 2*z + 3120 = 2778 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 - 14 + 32*o**2 + 14.\nAnswer: 43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = -5*u + 11, -4*u + 10 = -3*w. Let n = 1309\/874 + 1\/437. Suppose -i = -0*i + 4. Which is the smallest value? (a) n (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l. Suppose 0 = 2*z - 4*j - 72, l*j = 2*z + 5*j - 72. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.03, -3\/7, -2\/9, -65?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -26993?\nAnswer: -10797.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.15 + 0.15. Let b = 10 + c. What is the nearest to 1\/4 in -4, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1649, -1651, -1653?\n\"Answer: -2*n - 1647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/10 + (-6)\/(-15). Let a(d) = d**2 - 4*d. Let z be a(n). Let w(h) = 0*h**2 + 6*h - z*h + h - h**2 + 7. Give w(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5128 - -13173. Suppose 23*t = 22*t + w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3103608 = -2*a, 0 = 4*d - 4*a + 2*a - 12414462. Suppose 53468090 = 8*l - 3*l. Suppose d = 3*b + l. What is b rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 169 + -167. Suppose 3*y = d*y + 11. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 446. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 6*z - 5. Let y be (2\/(-4))\/((-4)\/40). Let r be x(y). Suppose r = 3*n - 8*n + 120. Solve -2*o = 4*c + n, 3*o + 42 - 18 = -3*c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 4) + (-10)\/(-2). Suppose -g*t + 712 = -4*d, -2*t - 4*d + 5*d = -703. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - -0.1. Let z = 0.05 + h. Let j = -0.4 + -0.6. Put z, 0.3, j in descending order.\nAnswer: 0.3, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 3*x + 18. Let a be q(-6). Is -49*(a + 36\/(-7)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 12, -3*a + 0*l = l - 15. Suppose -a*o = 4*u - 16, 5*o = 2*u + 29 + 5. What is the remainder when 8\/(1\/2 - 0) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)*(0 + -10). Suppose 0 = -3*l - 0*y + 4*y + 5, -4*l + 2*y - t = 0. Let p(i) = -i + 3. Is 5 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 182, 2, -10.\nAnswer: -10, -4, 2, 3, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x + 31*x - 28658 = 0. Let n be 89\/x + 20\/7. Factor 4\/5*a + 0 - 1\/5*a**4 - 3\/5*a**n + 0*a**2.\nAnswer: -a*(a - 1)*(a + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-1\/12)*z**(-2\/35) assuming z is positive.\nAnswer: z**(361\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 1\/2 (c) -2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -2. Let z = h + 7. Which is the second smallest value? (a) 0 (b) z (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3676)\/(-12) + 9)*3*18. Suppose -33*p - n = -211695. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c - 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dgdgddxddrxdgdgrgxd. What is prob of sequence xxg?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 22 = -23. Suppose -a + w + 26 = 0. Solve 5*j + a = 4*q, -j + 3*j + 3*q - 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6802 (base 16) to base 9\nAnswer: -40464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7.7. Let i be (-6)\/8 - 5\/(-60). Put a, i, -0.3 in decreasing order.\nAnswer: a, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 34*r.\nAnswer: -2*r*(r - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 79 + 2*r - 29 + 36 as f + y*r and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61612258 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 8:46 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6145*w + 112. Let m be f(5). Suppose 6*i - 100359 + m = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60995771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4406849 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(5 + -4)*(5 + -3). Suppose -4*p - g*u + 107786 = 0, 3*p + 4*u = -2*p + 134731. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214396766.\nAnswer: 2, 53, 73, 103, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y + 7. Let j be s(-1). Let u = -24 + j. Suppose -w + 2*r + 14 = -3, r = u*w - 19. Solve w - 23 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/4 - 2) + (-376)\/(-288). Does o = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - 5) + 4 + 2 + -14 - 6.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5729 - 5734. Let p = -642\/23 - -28. What is the smallest value in 0.5, -2\/15, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*k - 25 + 4 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d5f - 0?\nAnswer: -1d5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -287, -426, -545, -644, -723?\n\"Answer: 10*v**2 - 169*v - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -2*p - 28*y + 32*y, 15 - 31 = 7*p + 5*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 341307 times 0.22\nAnswer: 75087.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 514*d + 237*d - 262*d to a*d + u and give a.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**2 - 2*k - 11. Let p(z) = 11*z**2 + 2*z + 12. What is 5*p(f) + 6*t(f)?\nAnswer: f**2 - 2*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1655*h + 13716 + 3785 = 1946*h - 250 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2. Let o(j) = -4*j**2 + 3*j - 3. Let y(w) = 7*w**2 - 5*w + 5. Let t be 10*1*(-1)\/(-2). Let a(c) = t*o(c) + 3*y(c). What is a(s(x))?\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*s - 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 48, 92, 150?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, i: 3, m: 9, k: 2, d: 1, g: 2}. What is prob of sequence hhk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*i - 1214 = 250*i + 5936 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93398376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*q = -13 - 9, 2*q = -3*c + 13. Is c*5\/(100\/104) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3135.92 - -3137. Round s to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789 plus 0.9?\nAnswer: 2789.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1806.9 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 902 and 492.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153567.42497 + 951.\nAnswer: -152616.42497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obuujbufbfdfoj. Give prob of sequence bjo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44389151.\nAnswer: 61, 727691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) -1\/4 (b) 0.3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 822 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/61 - 609\/7381. Is f >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625 + 5*i - 209 - 203 - 213.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3112752.\nAnswer: 2, 3, 64849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/16*24\/(-27). Put 2, -2\/11, g, -4\/5 in ascending order.\nAnswer: -4\/5, -2\/11, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0.04. Let f = 4.214 - n. Let z = 0.026 + f. What is z rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + y = -7416, 2*d + 11123 = 5*d - y. Does 8 divide d\/55 - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14312 + 2?\nAnswer: 14314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 630 = 41*c. Calculate the remainder when c is divided by 87\/27 + 4\/(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 - 5172*q**2 - 2767600*q = 0. What is q?\nAnswer: -407, 0, 1700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - 6) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Suppose 8 = 4*v, 2*d + q*v = -0*d + 8. Let m = -1426 - -1428. Which is the third biggest value? (a) -2\/9 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}