diff --git "a/data/dm_maths/full_data/2230_11255.jsonl" "b/data/dm_maths/full_data/2230_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2230_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let f = -11 - -15. Let u = -1 + f. Suppose -d + 4*d = -3, 0 = a + u*d + 7800003. Round a to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32012331 (base 6) in base 5?\nAnswer: 214404400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 - 6*r - 6. Let x(v) = -v**3 + 3*v**2 + 5*v + 2. Let w be x(4). Suppose a + 8 = 1. Let o(s) = 8*s**3 - 7*s - 7. What is a*l(t) + w*o(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 139, -2.5.\nAnswer: -2.5, -0.1, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (918 + 12)*(18\/5 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - t**2 - 1. Let j(v) = v**3 + v**2 + 4. Calculate -j(h) - r(h).\nAnswer: -2*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21010.941ns in weeks?\nAnswer: 0.0000000000347403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**0*v))\/(v\/v**(-3\/7)*v))**(12\/11)*v\/v**(-1\/3)*v*v**(-3\/4)*(v**0)**(5\/4) assuming v is positive.\nAnswer: v**(-985\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1899 - 2734*m - 3812 + 1913 as q*m + u and give q.\nAnswer: -2734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + 2*d**2 + 4*d**2 + 3*d**2 - 2*d**2 + 3*d**2 + 1 - d**2 - 1 + (-4 + 4 + 1)*(4*d**2 - d**2 - d**2) to t*d**2 + b + f*d and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**5\/60 + 13*j**4\/24 - 11*j**3\/3 + 146*j**2. Calculate p(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 8) to base 10.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 430, 657, 886, 1111, 1326, 1525?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*j**5*m**3 - j**3*m**3 + 966*j + m**3 wrt j.\nAnswer: 1100*j**3*m**3 - 6*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0234 times 182\nAnswer: -4.2588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 270 = -12*a. What is the smallest common multiple of 30 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3 + 4 - f**2 + 7. What are the prime factors of n(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 0*h**2 - 2*h**2 + 2 + 3)*(-54 + 112 - 37) to b*h + d*h**2 + m and give m.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1299.96 + 1300. Suppose 6*p = 3*p. Which is the nearest to p? (a) t (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 6*l + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 + 3*f + f - 2*f - f + (2 - 1 - 2)*(-f + 0 + 0) + f + 2*f - 4*f + 11 - 18 - 43*f + 9.\nAnswer: -42*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201641315 - 18?\nAnswer: -201641334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 400\/30)*17\/(2244\/(-144))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -41.6. Let r = w - 5.2. Let y = r - 9.1. Which is bigger: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + (-144 - -145).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107459 is divided by 2283.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*f - 1090*f + 3479*f**2 - 412*f**2 - 687*f wrt f?\nAnswer: 6134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 5*c - 5*c + (1 - 1 - 5*c + 7)*(c**2 - c**2 + c**2).\nAnswer: -9*c**3 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*u - 930*u - 14 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -0.5 (c) 0.02 (d) -436796\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3783 - -3789. Solve 0 = -5*s + 4*s - d + r, -5*s - 3*d + 22 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(57\/38*(-2)\/(-1))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 7:23 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - -0.5. Let u = -2.9 - -3. Which is the closest to u? (a) -3 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c8a (base 15) in base 5?\nAnswer: 1112310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:29 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23 and 758?\nAnswer: 17434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 673932149 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -900\/824269 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32290899?\nAnswer: 3, 19, 37, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2386 - 382 = -68*r - 1186 - 6 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14134 and 3247.\nAnswer: 240278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/((sqrt(9)*-1)\/sqrt(3) - sqrt(3)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) -4 (b) 3\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 0.37 in ascending order.\nAnswer: 0.37, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -14*g + 16*g. Let v be (-170)\/(-36) + -1 + (-49)\/g. Determine h, given that -3\/2*h**2 - 3 + v*h = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnebnneennbneenb. Give prob of sequence bbe.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -135*y + 138*y, 2*k - 77 = 13*y. Let x(n) = -4*n**2 - 10*n - 13. What is x(y)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 + 24*o**5 - 24*o**5 - 2*o**2 wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -61. Suppose 0 = -4*j + j + c. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*j - 247*j + 3*a + 114, 0 = 3*j + 2*a + 75 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17460468 and 342.\nAnswer: 17460468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y**(-4)\/y)\/y)*y\/y**8*(y\/(y*y**(-4)*y*y)*y*y)\/(y\/y**3))\/(y**(1\/12)\/y*y**(-2\/3)*(y**(-2))**(-8)) assuming y is positive.\nAnswer: y**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/7))**(1\/26)*(l**(-2\/13)*l*l)**(-20) assuming l is positive.\nAnswer: l**(-517\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, o: 5, h: 1, x: 7, b: 1, z: 5}. Give prob of sequence ohbx.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -719 - -714. Let s(d) = -95*d + 252. List the prime factors of s(f).\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 110000?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5 - 189*y**4 - 1402*y**3 + 5880*y**2 = 0. Calculate y.\nAnswer: -10, 0, 3, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223883 = -4*g - 3*q, 4*q - 30543 + 86490 = g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 5*n + 13 + 8, -y = 2*n + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let p(z) = q*z**2 + 0 + 2*z**2 - 1 - 5*z. What is the tens digit of p(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -7*f**4\/24 - 2*f**3\/3 + 2*f**2. Let t(s) = -4*s - 2. Let p(x) = -3*q(x) + 5*t(x). Calculate p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35 (b) -0.7 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {k: 1, b: 2, t: 1, x: 4, a: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*f - 2*f + 125, 4*m = -4*f + 172. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:43 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9135)\/(-30450)*(-7)\/((-9156)\/(-40))?\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*y - 348 + 1320 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**4 - 50*d**3 + 2035*d**2 - 7020*d = 0. What is d?\nAnswer: -27, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**4 + 68*y - 5*y**3 - 29*y - 3 - 43*y + 3*y**2 - 5*y**2 + 0*y**2 to the form i*y**2 + f*y**4 + x*y + t + r*y**3 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 take away -10573800419?\nAnswer: 10573800337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1923 + -0.0523. What is the smallest value in 6, m, 4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3958275?\nAnswer: 3, 5, 89, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m + 12. Calculate v(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o**3*s*u**2 + 2*o**3*s - o**2*s**3 + 3*o*s**3*u**2 - o*s**2*u**2 - o*u**2 - u wrt o?\nAnswer: 66*o*s*u**2 + 12*o*s - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -105. Let o be (4\/6)\/(-2 + 5). Let i = -5.05584 - -0.05584. Which is the nearest to o? (a) i (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819415 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1*(-36)\/42.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 3*p - 13, -4*p = 386*g - 385*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-115)\/20*-4 - 1. What is the greatest common divisor of 154 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30232225*c**2*u**3 + 140*c**2*u**2 + 2*c**2 + c*u**2 + 3*c*u + 3*c wrt u?\nAnswer: 181393350*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*u - 2921 - 10119 = 7504 + 7468 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 10) + 11 - (-27 - 1).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/3, -0.7, -0.5, -0.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from zvve?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-185)\/(-925))\/((-2)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 54\/4 - (-42)\/28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 58. Put -1\/5, z, 77 in increasing order.\nAnswer: z, -1\/5, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5912.91 - 5943. Let a = 0.59 + h. What is a rounded to zero dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 213 - 213 - 71*y**2)*(-2*y - 4*y + 5*y).\nAnswer: 71*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16741, -33486, -50231?\nAnswer: -66976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*z - 10, -14*z + 10*z - 8 = -2*l. Suppose -q + 3*g = -14 + 4, -3*g - 6 = l. Let -3\/5*m**q + 0 + 12\/5*m**3 - 3*m**2 + 6\/5*m = 0. Calculate m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.1627 + 0.0813. Let f = -0.9 + -1.3. Let n = f + p. What is n rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Suppose 4*a = n*g + 11, 4*g - 4*a + 2*a = -4. Suppose d = -0 + g. Which is greater: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7167*i**3 - 7168*i**3 - 7239*i**3 + 28743*i**3 - 7166*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**3 - x**2\/2 + 4*x - 4. Is v(4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 15 - 11)*(3*v - 2*v + v)*(1 + 1 - 1) to t*v + l and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/2744 and 71\/1568.\nAnswer: 10976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611943960?\nAnswer: 2, 3, 5, 5099533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-245)*(-36113)\/240262\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from bbbbibibiibbibbbbi?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 9*h + 13*h to n*h + o and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 0 + 6 + 6*c + 3 with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004957 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42609487.9 + 0.\nAnswer: -42609487.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znzyeenenzznyee. Give prob of picking 2 e and 2 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 6*x**2 + 16*x + 15. Let d be t(-9). Let s = d + -109. Let o(g) = g**3 - 6*g**2 + 5*g + 9. Let f be o(s). Solve 0 = -2*l + 5*l + f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:32 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncbb when four letters picked without replacement from bbcn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -726*56\nAnswer: -40656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.989 + 0.011. Let r = y - 24.00000044. What is r rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 21*p**2 - 12*p - 153. Let f be i(20). Is 38\/(-133) - (-1276)\/f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6052.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10093863 to the power of 1\/2, to the nearest integer?\nAnswer: 3177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/11025 and 76\/3844575.\nAnswer: 26912025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1.4, 5103\/8 in ascending order.\nAnswer: -1.4, 5, 5103\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0344 - 0.0656. What is the nearest to w in -5, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14)*63\/(-9). Solve y*h = -h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1)*g)**(2\/43))**(-9\/2)*((g*(g**(1\/4)*g)\/g)**6)**(1\/17) assuming g is positive.\nAnswer: g**(-273\/1462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -2\/3, -3, -37 in descending order.\nAnswer: 4, 0, -2\/3, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490 and 166404.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 97 (c) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - ((-2004)\/42 + (-2)\/7). What is the highest common divisor of p and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by (6\/(-27) + 259\/(-252))\/((-10)\/680)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/3 + 4\/(-6). Let u be 12\/(-18) - f\/(-6). Sort u, -4, -5 in descending order.\nAnswer: u, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38004379.\nAnswer: 7, 461, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/24 and 43\/10752?\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 27*x - 3*x - 10*x - 13*x. Let v(l) = -l + 8*l**2 + l. Determine v(y(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnnnnhnmqdndi. Give prob of picking 1 n, 1 m, and 1 h.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d + 2 = 0. Suppose 4 = 11*n - 7*n. Let h(u) = 6*u**2 + u + u - 3*u - n. Calculate h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5638 is divided by 4809.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 4. Let t be l(-3). Let u be 11 - 8 - (1 + 1). Let r = t + u. Solve -r*d - 3*s - 7 = 0, 4*d + 5*s + 13 = 2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r + 19*r**2 + 30*r**4 - 13666*r**3 + 13666*r**3 wrt r?\nAnswer: 720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -351\/47, -12, -3, 2\/5, 50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550280119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5*p + 310, -310 = 5*k - 10*k - 2*p. Calculate the remainder when k is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**30*m**32\/m)**(1\/37) assuming m is positive.\nAnswer: m**(62\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49855 and 39.\nAnswer: 149565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 19.4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 23*l = 24*l + 66, -12*j - 381 = 28*j - 3*l + 305 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 211 (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*z, 0 = 45*z - 47*z + 3*n - 2. Let j be (0 + -1 - -1) + 661. Suppose 5*o = -z*f + j - 185, -f - 467 = -5*o. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -23*u**3 + 3*u**2 + 341*u + 8. Let o(g) = 15*g**3 - 2*g**2 - 227*g - 5. What is -5*h(t) - 8*o(t)?\nAnswer: -5*t**3 + t**2 + 111*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 21. Let n be p(-2). Solve -24 = 37*i - n*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18231\/2 - -9406. Let a = o - 290. Factor -1\/2*n**2 + 2 - 2*n + a*n**3.\nAnswer: (n - 2)*(n - 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228778 is divided by 228703.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -0.2, -14, 0.2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -192, -189, -184, -177, -168, -157, -144?\n\"Answer: l**2 - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/140 and -37\/2030.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -2. What is the first derivative of 2 + l - 6 + c - 9*l wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 26744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 14.842\nAnswer: -5.9368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**5\/240 + l**4\/3 - 32*l**3\/3 + 3*l**2 + 6. Factor u(a).\nAnswer: -(a - 16)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3751 is divided by 207.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from oossooooosss.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22330 - 10?\nAnswer: -22340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 409 - 724. Suppose 0 = 2*h - 0*h + 8. Let u be h\/(-10) + (-924)\/j. Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24062 is divided by 3426.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105888 is divided by 157?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40411051 (base 6) to base 13\nAnswer: 3146b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 336.86 + -133.026. Let n = c - 204. Round n to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 0*p**3 - 4 + 2\/35*p**5 + 1\/14*p**4 + 0*p + 0*p**2. Factor q(r).\nAnswer: 2*r**3*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-37)*p**(-1)*p**(-2\/3) assuming p is positive.\nAnswer: p**(187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9094754 milligrams?\nAnswer: 0.0009094754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1818, 9711, 22866, 41283, 64962?\n\"Answer: 2631*l**2 - 813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 1054539*m - 5272770.\nAnswer: 3*(m - 351518)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 9, 15, 23, 33, 45?\n\"Answer: j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552312?\nAnswer: 2, 3, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 118, -0.07, -2\/15?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59993 * 2.\nAnswer: 119986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1191 (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1985, -3942, -5875, -7784, -9669, -11530?\nAnswer: -13367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -20 - (-2 + -2)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - (sqrt(78) + (sqrt(78) + (2*sqrt(78) - sqrt(78)))*-2 + sqrt(78) + sqrt(78)))\/((-1*sqrt(6) - sqrt(6))*-5).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18390987 or 18390992?\nAnswer: 18390987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22268 - 21528. Calculate the highest common divisor of t and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*d = -10, -3*g - 2*d + 9 = 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5305.2 rounded to the nearest one hundred?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*w + 16*w - 13*w + 3*w to the form d + r*w and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/5 - 108222*m**2\/5 + 1463729568*m\/5 + 1464270728 = 0. Calculate m.\nAnswer: -5, 27058","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 3088 - 2906 = 0. Solve k*f**2 - 6\/7*f**3 + 176\/7*f + 72\/7 = 0.\nAnswer: -1, -2\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1727788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 2527, 26, 3 in ascending order.\nAnswer: 3, 19, 26, 2527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.047\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 84\/462 + (-840)\/22. Let j = 134 + v. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by -1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (-111)\/21) + (-8)\/28. Suppose -4*s = -2*q + r, 4*q - 7 - 1 = -2*s. Let d(f) = 459 - 3*f**2 - 5*f - 466 + f**3 - q*f**2. Calculate d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 13. Let s = v + 14.1. Which is the nearest to 0.1? (a) -2 (b) -1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012014003 rounded to 7 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 - (2 - (8 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = 7. Let v = 0 + 0. Let l = v + 2. Solve 4 - h = -l*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 8550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 288 = 3*h, 3*h = 2*w - 4*w - 177. Let m = 15 - w. Calculate the remainder when m is divided by (22\/(-6))\/(20\/(-120)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let d(v) = -4*v - 3. Let n be 3*(-2)\/(-15)*-5. Let w be d(n). Calculate the least common multiple of 2 and o(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - z = 10, -6*t + 3*z + 5 = -2*t. Suppose 3*n - 6 = 2*n. Solve -t*y + 2*y + 2 = -j, -5*j - y = -n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 5 = 0, 11 - 20 = 2*j + y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 273?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1 - -1)\/(-1). Let q(a) = -a + 11. Let p(t) = 11. Let c(i) = -4*p(i) + 3*q(i). Let f be c(-5). Sort 3, n, f in decreasing order.\nAnswer: f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52246608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from whmyzymzmrz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:43 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.2 (c) 27 (d) -0.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s. Suppose s = 3*k + k - 20, 5*k - 31 = -3*r. Suppose 2*a + 2*a - x + 2 = 0, -2*a + 2*x = -r. Which is smaller: -2 or a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237497 greater than or equal to 237542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1089*n**2\/2 + 357*n\/2 + 1821.\nAnswer: -3*(n - 2)*(363*n + 607)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 6849461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/16 - (-2093)\/13104)*54\/32.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = -0*t. Suppose -t*w = -7*w + 20. Let c(z) = -3*z - 3*z + w*z. Let l(g) = 3*g. Give c(l(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/22? (a) -1\/6 (b) 16016 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39\/112 + 1\/16. Let v be 5\/(-3)*(-1)\/15. Let t = 0.09 - -0.11. What is the nearest to k in -1, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2. Let i(u) = 25*u - 3 - u + 75*u + 16*u + 5. Calculate i(v(b)).\nAnswer: 115*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 2*q - 2*q + (-2 - 1 + 2)*(5*q + 1 - 1) + 2*q - 5*q + q)*(-10*q + 5*q + 2*q) in the form k + u*q**2 + m*q and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-14)*u*u**(-9) assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 0*b**2 + 7*b**2 - 7*b**2 - 2*b**3. Let q be g(-1). Suppose 3*h = q*z - 2*h + 17, z = 3*h - 11. Solve -z*k = 6 + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.66 + 3.63554. Round b to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4. Let z be f(-4). Suppose 5*y - 51 = -4*c, 2*y + z = 5*c + 7*y. Calculate the highest common divisor of c and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:55 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97.34 - 2.34. Let x = n + -89.9. Let i = 1.1 - x. Which is the nearest to -2? (a) i (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flllmlfllhml. Give prob of picking 2 l and 1 m.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396651?\nAnswer: 3, 109, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 = -19. Suppose 4*x - h*k = -205522, 3*k + 2*k = 3*x + 154147. Let w = x + 121379. What is w rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -72 and -49.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*c + 21, 0*c + 13 = 3*v + c. Suppose -a + 0*a = 0, 3*d - v*a = 6. Find the third derivative of -4*w**d + 5*w**3 - 4*w**3 + 2*w**2 wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100021000001 + 202?\nAnswer: 100021000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -49*d - 2. Let t(s) = s. Determine -h(v) - 6*t(v).\nAnswer: 43*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u. Suppose 19 = 3*p + 4. Let i be n(p). Let t be (-3)\/(-9) + i\/6. Solve 2*q + 0*o - 2*o = 8, -4 = -q - t*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-108) + 51\/(-68).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 7) to base 3.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccpc. Give prob of sequence pc.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7890 and 1380?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(3328)))**2 - (4 + -5*(sqrt(1300) + 1)**2).\nAnswer: 900*sqrt(13) + 89726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 - 39 = 27*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + sqrt(117) + 1 + -5 - 1*sqrt(117)*4)*4 + -5 + (sqrt(117) - (1 + 2 + sqrt(117) + sqrt(117) + sqrt(117))) + 5)**2.\nAnswer: 684*sqrt(13) + 4573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 + 19*l**4 + 86*l**3 + 134*l**2 + 91*l + 23.\nAnswer: -(l - 23)*(l + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 0.1 (c) -12\/2473 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c - 6. Let u(x) = x + 1. Let g(b) = d(b) + 6*u(b). Suppose -2*k - 2*k = -24. Let m(n) = 4*n - 3 - k*n + 3. Determine m(g(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1 - (19 + -26). Suppose 0 = -u + i + n, -2*u = u + 2*i - 5. Which is the third smallest value? (a) -12 (b) u (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.35 + 0.05. Let l = -10.8 - -10. Let w = l - 0.2. What is the third biggest value in 4, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -498519 * 3.\nAnswer: -1495557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g + 318. Calculate v(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 14) to base 12\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2 + 25*z - 54 = 0 for z.\nAnswer: -27, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.927 + -3.26. Let f = l + -1.886. Let k = 1.3 + f. Round k to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1887326 and -7784.\nAnswer: -1895110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.941359 nanoseconds in microseconds?\nAnswer: 0.004941359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*q + 138*q + 869 + 202 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1857 or -1854?\nAnswer: -1857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = w + 2*w - 5*i, 0 = 3*w + 5*i + 5. Let v = -98\/3 - -32. Is w greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-3 + 6 + 4)*(122 - 41*i - 122).\nAnswer: -287*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 23*f + f)*(0 + 2 + 0)*(-4*f + 1 - 1) + 4*f**2 + 19*f**2 - 16*f**2.\nAnswer: 191*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -148 - -1e?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26343521 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 6*h - 34 + 10 = -2*z, -13498*z + h = -13503*z + 234 for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 - -13)\/(1 + -2). Suppose -z + j*z - 13 = 3*m, -5*m - 55 = -5*z. Let c be m\/21 - 2\/(-8). Is 0 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2\/5 - 3711*k\/5 + 14796\/5 = 0.\nAnswer: 4, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 4306?\nAnswer: -1291.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*x, 4*v + 269 = 3*x + 274 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 = -0. Suppose 5*o = 3*p + 3*o - 4, -o = -1. Solve -p*r + j*r = 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, -1, -58, 4 in descending order.\nAnswer: 12, 4, 3, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101011110100101110100101 + 11011?\nAnswer: -1101011110100101110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.176 - 0.175859. What is s rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358331.231 rounded to the nearest one thousand?\nAnswer: 1358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 10:19 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 96*t + 5476. Determine a(136).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 - (-10 - (-1 + -9 + -16)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, -923, -2496, -4511, -6974, -9891?\nAnswer: -13268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from pevgooeoeyvvpoovpvyo?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 374756 (base 8) to base 13\nAnswer: 46c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**4 + l**3 + 2*l**2. Let s(d) = 126*d**4 + 946*d**3 + 1656*d**2 + 1088*d + 240. Let h(i) = -6*k(i) - s(i). Find a, given that h(a) = 0.\nAnswer: -5, -1, -2\/3, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -417*x + 3068. Determine t(5).\nAnswer: 983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14361, 23263, 32165, 41067, 49969, 58871?\n\"Answer: 8902*t + 5459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5*j = -37, -206*j + 205*j = 4*z + 41 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6359, -6356, -6351, -6344, -6335, -6324?\nAnswer: -6311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - 9)\/27*(-129)\/9 and 16\/33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dv when two letters picked without replacement from {d: 2, n: 5, v: 6}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 7*b**3 - b**2 + 50*b - 48. Determine z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45733*b**3 - 3*b**2 + 944931*b?\nAnswer: -274398*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*n - 16 = 0, x + 1 - 13 = 3*n. Let z(j) be the first derivative of 0*j**3 + 0*j**2 - 1\/2*j**4 + 3 + x*j. Factor z(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 4698?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4728 (base 10) in base 7?\nAnswer: -16533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-9)\/7)*(-40)\/(-245)*(-14665)\/12570.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1596 by -228.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 0 - 5 - 43*w - 8 - 5 + 17*w**2 - 22*w**2. Let k be j(-8). Solve -2*b = -10 + k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g + 17. Let w(m) = -2*m**2 + 2*m + 1. Calculate -a(y) + 6*w(y).\nAnswer: -12*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81, 175, 285, 411?\n\"Answer: 8*w**2 + 70*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, f: 1, k: 1, b: 1, p: 1, w: 3}. Give prob of sequence fw.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.212673 rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*n - 3, 4*n - n + 4*x - 21 = 0. Suppose 0 = 7*s + 3*s - 180. Let k be (-18)\/s*-4*(-2 - -4). Solve 4*h = 2*q - n*q + 10, k = 4*h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33406 or 33409?\nAnswer: 33406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - 2. Let v = 0.22 - 13.22. Let q = v - g. Sort -1, 2, q in ascending order.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 = 16*b - 55*b. Suppose -273 = d - 1075. Suppose 4*j + 130 - d = 0. What is the highest common divisor of j and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 1. Let g = 1 - -5. Let p(z) = 5*z + 6. What is the remainder when p(g) is divided by c(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.3 + 14. Let v = -1 - -1. Let z = 13\/6 + -5\/2. Which is the closest to v? (a) 5 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 13. Let r be t(9). Suppose r*b = -8 + 3. Is 217 - (b + (1 - 4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3047 + -2892. What is the greatest common divisor of 155 and x?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (28\/(-8) - -2)\/(4\/(-8)). Solve -4*k - 7 = d*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 600 - 602. Let x(n) = -2*n - 1 - 11*n + 1 - 3. What is x(o)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 11:41 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31128 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -490 + 1072?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6 or 9\/1940354?\nAnswer: 9\/1940354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 3*b**2 + 4*b - 2. Let k be h(2). Calculate the greatest common factor of k and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1620 * -0.1.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -18 - (-2 - 1) - -33?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.08 - 4. Let q = i - 10.08. Let d = q - -8. Which is the third biggest value? (a) 1\/6 (b) 0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*c - 62. Suppose 0*r + r = -4*u + c, -16 = -4*u. What is the first derivative of 2*a**2 - r + 6*a**2 - 4*a**2 wrt a?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/1 + -1)\/3. Let w = 174 + -121. What is the remainder when w is divided by 3 + h - (-16 + 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209 - 209 - 38*p to the form w + y*p and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92151 and 1647.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1119, 2267, 3415, 4563?\nAnswer: 5711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/84*9*(-524)\/1834?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 (base 5) in base 7?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*t**3 - 216*t**3 - 3*t**2 - 38 + 37 - t as p*t**3 + k*t + m + f*t**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(-4))*h)\/h**(2\/19))**33\/((h**(-5\/3)\/(h*h\/h**(-6)))\/(h*h**(1\/2)*h*h\/(h*h**(-2)\/h)*h)) assuming h is positive.\nAnswer: h**(-6077\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-28)*(200\/3 + 1)*(-219)\/730.\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 13 - 73. Let x(o) = -o + 8*o + 4*o**2 + c*o - 52 - 5*o**2 + 42. Determine x(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601996251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, -3, 4 in descending order.\nAnswer: 6, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36166 take away 0?\nAnswer: 36166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -87. Suppose 0 = j*b - 9*b - 4158. Calculate the greatest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18073515 is divided by 1643046?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 98.0958287 to the nearest integer.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/105*(-3)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848 is divided by 95?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11589 + -1392. Does 99 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011010100011000000111 - 10001?\nAnswer: -10011010100011000011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 28*k - 145. Let l be m(-7). Solve 4*r = v - 11 - 5, 8 = -l*r - 5*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*k = -726 - 340 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 434*j + 9158 + 1692 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 248618762 to the nearest ten thousand.\nAnswer: 248620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -6) + 1 + -5 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*o + 3504, 3*o - 3504 = 87*m - 85*m. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.6 and -8848.\nAnswer: -8849.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, w: 9}. What is prob of sequence wwq?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 982*b**2*k**2 - b**2*v - b**2 + 2*b*k**2*v - 2*b*k*v wrt v.\nAnswer: -b**2 + 2*b*k**2 - 2*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, r: 2, q: 2}. What is prob of picking 2 r and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4997.9 rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.0964.\nAnswer: -0.3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, -1028, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/240 and 89\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 + 2 - 2 + (16*s - 2 - 3*s + 8*s)*(6*s + 0*s + 3*s) as w*s**2 + v + z*s and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = 19*o - 1459. Solve 4*y - 67 = -o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.32 - 867.68. Let i = x + 880.9. Which is the nearest to i? (a) 4\/7 (b) 9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1126 + 1700 - 603)*(5*q**5 + q**5 - 4*q**5).\nAnswer: 4446*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 2*o + 13083 - 12996, 0 = -4*b - 3*o + 120 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011368061 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 498, 665, 818, 951, 1058, 1133?\n\"Answer: -p**3 - p**2 + 177*p + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 579172826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8392*a - 166988 - 349182 = 1091*a + 2201 for a.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.86 + 2.24. Let o = j - 29.82. Let v = 0.48 - o. What is v rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsrsrrrrrsrsr. Give prob of picking 1 s and 3 r.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4079*d + 4075*d + 72*v + 144, 5*v = 2*d - 41 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51801473*l - 11776068 wrt l.\nAnswer: -51801473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 8*l**2 - 5*l - 3. What is the units digit of g(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 255 and 104 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 18130*k - 18125.\nAnswer: -5*(k - 3625)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 380796856 by -71.\nAnswer: -5363336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -41, -85, -9 in decreasing order.\nAnswer: 2, -2, -9, -41, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -5*s - 264. Let l = 132 - s. Solve -3 = 4*r - 3*v, -5*r - 3*v = -l*v + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 2*t**2 - 212*t\/5 - 112.\nAnswer: 2*(t - 14)*(t + 4)*(t + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11. Calculate the least common multiple of 7 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -100 + 100 - 10*n**2 + (n + 3*n - 2*n)*(-6*n + 2*n + 2*n) as k*n + i + u*n**2 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 1 + sqrt(153))*-6*-2*-5.\nAnswer: -360*sqrt(17) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.148 + -83.648. Let l = o - -64. What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 30*i**2 - 1528*i - 97. Let n be z(51). Factor 16\/5 - 10*l**3 - 56\/5*l - 2\/5*l**n + 76\/5*l**2 + 16\/5*l**4.\nAnswer: -2*(l - 2)**3*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -17, -3, -4298, 4 in increasing order.\nAnswer: -4298, -17, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i - 2. Let b = -1 + 13. Let l be (1\/(-1))\/(4\/b). Let f be u(l). Let p(a) = -a**2 + 5*a - 3. Determine p(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 5}. Give prob of picking 1 u and 1 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/34968 and -17\/87420.\nAnswer: 174840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 31*p - 150. Let t be o(6). Suppose 682 = -2*w + 5*w + u, -u - 230 = -w. What is the greatest common divisor of t and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-819))\/((4\/(-2))\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.27114791.\nAnswer: 0.081344373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 32 = -39 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4264414 + 12?\nAnswer: -4264402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wtfw when four letters picked without replacement from usuusuvswvsssuufwt.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x - x + 3*x)*(-1 + 4*x**3 + 1 - 1 + 1 + x**3 + (-2*x**2 + 3*x**2 + 0*x**2)*(x - 1 + 1) - 3*x**3 + 2*x**3 + 0*x**3).\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o = -3*c - 29, -33 = 5*c + 55*o - 51*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 2. Let i be o(-2). Let x = i + 5. Sort 3\/5, 4, x.\nAnswer: x, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 9. Suppose 21 = 4*a - m. Let u(t) = -t**3 - 7*t + 6. Let s(f) = -2*f + 2. Calculate a*s(q) - 2*u(q).\nAnswer: 2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-45)*(-10)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 > -340\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 33?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minus -45?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 - g + 3. Let q(u) = 49*u - 54*u + 5*u**3 + 11*u**2 - 5 + 21. What is 4*q(m) - 22*x(m)?\nAnswer: -2*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - r + 0*r)*(-6414*r**2 + 528*r + 710*r - 1238*r).\nAnswer: -6414*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by -6?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315 a factor of 232773327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0 - 2\/5*h**5 + 26*h**2 + 0*h + 1\/12*h**4 - 1\/6*h**3. Find the second derivative of m(k) wrt k.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -5 + 7)*(-25)\/20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*h = 27, 5*u + 27762*h - 13 = 27764*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -101.5 from -142.3029.\nAnswer: -40.8029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32103 * 2.\nAnswer: -64206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1511, -5678, -12529, -22058, -34259?\n\"Answer: b**3 - 1348*b**2 - 130*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 55 + 25. Let h = 60 - x. Let t = 1098\/11 - h. Is t < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**5\/20 - 5*j**4\/12 + 25*j**2 - 42*j. Find the first derivative of y(p) wrt p.\nAnswer: -3*p**2 - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyaygygabaggr?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 5*z - 28 = -4*w, -3*z + 5 = -w. Suppose 33 = z*g + 2*x, -2 = g - x - 8. What is the highest common factor of g and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37404?\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175584.\nAnswer: 2, 3, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42c - a7?\nAnswer: -4d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 491 - 569. Let z = -2 - -2. Suppose -8*f + k + 119 = z. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6\/x**4)\/((x\/(x*x*(x*x*x**(-4)*x)\/x*x))\/((x\/(x*x\/(((x\/x**(-1\/7))\/x)\/x)*x*x))\/x)))**(2\/11) assuming x is positive.\nAnswer: x**(-40\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 231 + 21. Calculate the highest common divisor of b and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 5. Determine x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/645050 and 125\/35942186.\nAnswer: 898554650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66862837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**21*f*(f\/(f*(f**(-1\/29)\/f*f)\/f))\/f assuming f is positive.\nAnswer: f**(639\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/15))**(10\/7))**(-15\/7) assuming v is positive.\nAnswer: v**(20\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*t + 30*t - 16*t)*(8*t**3 - 5*t**3 - 31 - 2*t**3) as z*t**2 + q*t + u + f*t**3 + b*t**4 and give q.\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 3*v - 2*v + (3 - 4*v - 3)*(-5 - 1 + 2) - 4*v - 1 + 1.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 84. Let a = -335841 + 1285841. Suppose -t = i*t + a. What is t rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 379438 + -196155. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -302755291*f**2*g + 488*f*g + 898867*f wrt f?\nAnswer: -605510582*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 3140 (b) -266 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2027*p + 2022*p = -4*x - 25, x - 25 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313782, -627547, -941296, -1255029?\nAnswer: -1568746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3053255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 + 9*g - 29. Let m(k) = 34*k**2 + 44*k - 146. Let y(c) = 11*i(c) - 2*m(c). Let t be 0\/(-1) - (-59 - -54). Is y(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -105.\nAnswer: 43\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + -797. Let g = c + 3213\/4. Let s be 2\/3 + (-52)\/42. What is the closest to g in 1.1, s, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-9)\/w**(-3)*w**(-4\/3)\/w*w*w\/w**(2\/11) assuming w is positive.\nAnswer: w**(-215\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -2*v - 29, -5*v = 2*g + 3*g + 35 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 8*l - 6. What is the common denominator of -3 + (-4)\/(-1) + -2 + 930\/(-80) and o(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 1508*p + 1511*p = 16, -8*t + 64 = -0*t - 0*t - 2*p for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11240)\/90*(-70)\/(-8). Let u = i - -1095. Calculate the common denominator of ((-285)\/27 - -4)*-1 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*j - 17 = 0, a = -0*j + j - 5. Let i(f) = f + 5. Give i(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 4\/7, -0.394, -5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*o**3 + 5*o**3 + 0*o + 2*o**2 = 0 for o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 62460 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1766797 less than -245?\nAnswer: -245.1766797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrlrrl. Give prob of picking 2 l and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -27. Solve -y = -0*t - 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*((-105)\/(-10) + 0). Solve -19 + 5 = m*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 18*l + 79. Calculate c(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 74e - -e?\nAnswer: 75d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - y**2 - y**2)*(0*y + 4*y - y) + 2 + 0 + y**3 - 1 + (0*y + y + 2*y)*(-7*y**2 + 22*y**2 + 10*y**2).\nAnswer: 70*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 553, 2178, 4871, 8626, 13437?\n\"Answer: -n**3 + 540*n**2 + 12*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -53*q**2 - 19*q + 2. Let a be t(0). Factor 3\/2*r**a - 33\/4 - 27\/4*r.\nAnswer: 3*(r + 1)*(2*r - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 1898184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 1:21 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 31 = 29. Suppose 0 = 2*u - 6*u + 140. Let n = u - m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 - 57. Let p be 2*a*(-1)\/4*12. Find the third derivative of 3*q**2 - 2*q**2 + 29*q**6 - 34*q**p wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6095.988008 to the nearest ten.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677 is divided by 2663?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eecc when four letters picked without replacement from {d: 2, u: 5, c: 3, e: 3}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 3*u**2 - 3*u - 3. Suppose -z = -1 - 18. Suppose -3*g - 5*n + 0*n = -z, g - 11 = 3*n. What is the least common multiple of g and t(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - -3 - (-9 - 410\/(-30))?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -7 + 23, 3*n = 3*z + 6. Find the third derivative of -2*j + 6*j**2 + 0*j**z + 34*j**6 + 2*j wrt j.\nAnswer: 4080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 133*n**3 - 10*n**2 + 121*n**3 + 9*n**2.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 + u**2)*(-4 + 4 + u**3) + (3*u**4 + 0*u**4 - 2*u**4)*(-1 - 3*u + 1).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/15*(-102)\/8. Let w = c - -38. Solve -o = 2*o - 15, -26 = -w*f - 2*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/4 - 3*i**2. Let m be t(-2). Solve -q - 4 = 3*s - 0, 0 = -3*q - m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197*f - 1198*f + 4*l - 5 = 0, 5*l - 10 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -39, -6.3 in ascending order.\nAnswer: -53, -39, -6.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5522 - -3.5522. Sort b, 601\/4, 0.2 in ascending order.\nAnswer: b, 0.2, 601\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9449225*n**3 + 7248492 wrt n?\nAnswer: 28347675*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-2 + -3)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 8. What is the nearest to 1\/2 in 0.5, 0.4, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -1220001*n + 5. Let a be z(5). Round a to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 16. Let y be h(4). Suppose -7*w + 5*w - 60 = y. Let m be (-4)\/80 + 6\/w. Which is the nearest to 0.1? (a) m (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -25277706?\nAnswer: -25277704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c + 6. Let l be n(8). Let g = 33 - l. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/s**(-1\/4))**8 assuming s is positive.\nAnswer: s**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/8)\/((-54)\/24).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6273, -25128, -56545, -100524?\nAnswer: -157065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221221 - -10?\nAnswer: 20222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 63863\/3670 greater than or equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 422.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 232 + 1003143?\nAnswer: 1003415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82 (base 13) to base 3.\nAnswer: -10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 130 = -d, 2*w + 2*w - 168 = 4*d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1322, 2634, 3946, 5258, 6570?\n\"Answer: 1312*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(7)*1*-2*6 - (-2 + sqrt(847) + (sqrt(847)*1 + 5 - sqrt(847)))**2).\nAnswer: -5136 - 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4463 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1\/8, -17.8, 30, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 510 + -351. Suppose t - x - 90 = 0. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -16 + (-10)\/(-5). Let u be (-10)\/z*5*15. What is the highest common factor of 75 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 14. Let c be 2\/((39\/52)\/(3\/(-2))). Give p(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**2 - 13*x - 8. Let c be m(-9). Let p = 86 + c. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0. Let v = 8 - 6. Let w be v\/8 - 14\/(-8). Solve l = d + w*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402409231.\nAnswer: 7, 53, 1084661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 1:01 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t + 3 - 3)*(-2*t**3 + 3*t**3 - 3*t**3) - t**4 + 4*t**4 - t**4 + t - t + t**4)*(0*t + 4*t + 3*t).\nAnswer: 49*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - -117) + 7 + -16.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxj when three letters picked without replacement from xxxjxxdxxdjxxxd.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxxff. What is prob of sequence xfxx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 63\/(-5) - 2\/5. Suppose -5*c + 227 = 2*s, 0 = 2*s + s + 2*c - 324. Let m = s - t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 75*z**4\/8 - 68*z**3\/3 - 32*z**2 - 3. What is the first derivative of v(d) wrt d?\nAnswer: 225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.607706 rounded to 1 decimal place?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142 - -4012?\nAnswer: 4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6, 1, -36, -105?\n\"Answer: -16*g**2 + 43*g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -980.999998926 + 981. What is d rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 12 = -4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20522*t**2 + 902*t**2 - 4757*t**2 + 15646*t**2.\nAnswer: 32313*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -82 + 84. Suppose j = -6 + z. Put 1\/4, 1, j, -0.4 in ascending order.\nAnswer: j, -0.4, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 11000110000011101110100010?\nAnswer: 11000110000011101110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -4*h - 3. Let t be (h - -2)*2\/(-426). Let a = -1359\/710 - t. Calculate the common denominator of a and -42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*l - 13*l - 3. Let i(p) = 2*p - 8*p**l + 7*p**2 + 18 - 9 + 9*p**3. Calculate i(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1219*b + 6. Let f(a) = 2437*a + 10. Give 3*f(m) - 5*q(m).\nAnswer: 1216*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 64*i + 19. Determine y(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 26*y**2 - 3*y + 3*y - 36 + y + 3*y. Let s = -2682 - -2683. Let k(u) = u**2 + u + 2. Let t(g) = s*r(g) - 4*k(g). What is the derivative of t(l) wrt l?\nAnswer: 44*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 take away -2.4?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.3 + 2.4. Let i = -0.3 + -0.7. Let u = -4\/5 - -3\/10. Which is the biggest value? (a) u (b) i (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -4 (c) 1\/45 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1773cb (base 16) to base 10\nAnswer: 1536971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -7*q - 9. Let m be (-1 + 1)\/((-6)\/q). Solve 3*j - 5*c - 1 = m, 2*c + c - 3 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -233311\nAnswer: -69\/233311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - t**2 + t + 1. Suppose j - 4*w + 3 = -7, -w - 3 = -3*j. What is z(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 18*a = -20*a + 321, 5*t - 2*a - 551 = 0. Let i(g) = -2*g + 4. What is the remainder when t is divided by i(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 4*l - 5. Suppose -45 - 39 = 21*w. Let u be (0 - 1) + 4\/w*1. Let i(p) = 2*p**2 + 5*p + 6. Determine u*i(n) - 3*h(n).\nAnswer: 2*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b**3 + 34*b**3 - 115*b**3 + 39*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 + 342*m**2 - 162*m**2 + 424 - 122 - 175 - 173*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 79504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 3, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 - 46\/(-10). Let j(d) = 2*d + 47. Let n be j(-21). Solve n*h - f = -0*z + 3*z, 0 = 5*z + 5*h - 45 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3*a + 1)*(0*a**3 - a**3 + 2*a**3) - a**4 - 4*a**3 + 4*a**3)*(13 - 111*a + 262*a - 107*a - 237).\nAnswer: -176*a**5 + 896*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -65546*l - 917654. What is x(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*n + 3*n. Suppose -101 = -5*a - c, -5*c = 2*a + n*a - 85. What is the lowest common multiple of 50 and a?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2692 and 2.\nAnswer: -5384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 3.8. Let y = 1 - 6. What is the second biggest value in g, -2\/21, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 179753 - 30533 = 4*z, 0 = -3*w - 5*z + 111899. What is w rounded to the nearest 100?\nAnswer: 37300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2379107\/6300960 + 13\/26254. Find the common denominator of -73\/160 and i.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 14. Let t = -3 + -3. Let b be s(t). Find the second derivative of d**3 - b*d**3 - 2*d + 2*d**3 wrt d.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 3, -877778 in descending order.\nAnswer: 5, 3, -1, -877778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 41*s + 49. Determine b(37).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*g + 26, -18 = 3*y + g + 2*g. Is (5 + y)*(-1 + 2 - -2018) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1190 - 1732. Let g = v + 987. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*s**3 + 181*s**3 + 170*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -52*l - 76. Solve -5*p = 4*b + 20, -20 = 3*p + 2*p - l*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7359.891ml to litres.\nAnswer: 7.359891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10417 + -723\nAnswer: 9694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 214 = 6*f. Suppose 4*d = 4, 0*b + b + 3*d = f. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 6*k - 5. Suppose 240 = -3*m - 3*q, -2*q - 17 + 325 = -4*m. Suppose -341 = -4*u + 3*b, 263 = 4*u - 2*b - 79. Let j = u + m. Determine t(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 26*f + 450 = -78*f + 11*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 23 + 54)*(-8*b + 18*b + 14*b) as q + s*b and give s.\nAnswer: 1656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4136 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:04 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**4 - v**4 + 5*v**4 + (-17*v**2 + 127*v**2 + v**2)*(-v + 0*v - 5*v**2 + 3*v**2) to m*v + g*v**2 + s*v**3 + d + i*v**4 and give i.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*1*sqrt(448) - sqrt(448) - -4*sqrt(448)*-2) + -1)**2 + -1 + -3 + (0 + sqrt(448))**2*-3)*5.\nAnswer: 240*sqrt(7) + 13425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t - 14. What is o(10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4 - 2*i**2 - 4*i**2 - i**3 + 6*i + 3*i**2. Let y be f(-4). Suppose 4*u - 3*u = 1. Put u, -2, y in decreasing order.\nAnswer: u, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 8, p: 5}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586838547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 27 + 3 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 0*h**3 + 2*h - h**4 + 2*h**3 + 2*h**4 + h**2 to l*h**2 + g*h + x*h**3 + r*h**4 + a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*k = 388*k + 3, 0 = -5*s + 4*k - 19 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*m + 5 = 0, 8 = -5*b - m + 81. Let y(c) = -c**2 + 18*c + 4. What are the prime factors of y(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695613.\nAnswer: 503, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 11*b - 8. Suppose -7*y = 31 - 80. Calculate z(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1422 and -0.307458164.\nAnswer: 1421.692541836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-1 - -23)\/(16\/192)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 - -88. Let r be (-104)\/18 - l\/(-36). Is -11 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 1377.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3. Let u be 24 - (f + 0 - -3). Let i be u\/(-28) - 11\/(-4). Solve y + 3 = i*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3092197 + 6184081 + 26*i - 3091884.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -43.99. What is the second smallest value in o, 0.2, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7. Suppose 4*w - r = 51. Suppose 0 = -2*u + 3 + 5. Solve w = u*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t + 3. Let m(h) = -6*h + 4. Let q(p) = -6*m(p) + 7*z(p). Let s = 9 - 6. Suppose l - s - 1 = 0. Give q(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 + -62.9. Let b = x - 8. Sort -0.3, -1\/2, b in decreasing order.\nAnswer: b, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/146 and 159\/130969300.\nAnswer: 130969300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53900708 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - r + 8, y + r + 1 = -0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 57*z**2 - 8*z - 74. What are the prime factors of i(-6)?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - (-8 - -2 - (-17 + 5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.359 from 0.94.\nAnswer: 2.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 939662507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2 = -3*v, 5*u - 14 = -v + 9*u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**4\/4 + 5*p**3\/3 - 3*p**2\/2 + 3*p + 15. Calculate f(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1768 + -1710. Suppose 84 = -4*c - 0*c. Let a = c + h. Is a a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3297700 to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3737737229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -924, -3221, -6940, -12081, -18644?\nAnswer: -26629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-66)\/14 - -7 - 4\/14. Let u be (-4)\/k + ((-104)\/(-4) - -3). What is the highest common divisor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 0 - sqrt(3) - (1 + sqrt(300) + sqrt(3))**2) + (sqrt(3)*2)**2*-4 + 1*sqrt(6)\/sqrt(2).\nAnswer: -412 - 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75, -90, -139, -240, -411, -670?\n\"Answer: -3*j**3 + j**2 + 3*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h - r, -h + 1 = r - 0*r. Let d be ((0 - 0) + h)*5. Let b = -1296 + 1298. Sort d, b, -4.\nAnswer: -4, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -14 and -85.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or 289038?\nAnswer: 289038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 3*c**2 - c**2)*(c + 0*c - 5*c + (2 - 2 + 2*c)*(1 + 1 - 4) - 12*c + 4*c - c - 2*c - c + 2*c).\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**4\/4 + u**3\/3 - 2. Calculate m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54464 divided by -1184?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y + 5. Let r be t(5). Suppose -5*z + 110 = 85. Calculate the greatest common divisor of r and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 20, 0, -0.03, 12, 14?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9333 * -3.\nAnswer: -27999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325*-64.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -35*t**2 - 131. Let q(a) = -2540*a. Give q(b(g)).\nAnswer: 88900*g**2 + 332740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 12*b - 15. What is v(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, 0.1, 5, 181 in increasing order.\nAnswer: -0.2, 0.1, 3, 5, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23753 is divided by 73?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 472342 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(-128 + 214 + 908)*(-j + 0*j - 2*j)*(3 - 1 + 0) in the form r + l*j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. Suppose r*m = m + 12. Suppose m*b - 6 = -2. Which is bigger: -2\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13311 is divided by 513.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 9615104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*z + 84, -5*z + 0*z + 40 = -y. Let a = -23 - y. Is (412\/(-16))\/(a\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 - -0.01.\nAnswer: -113.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a. Let c(h) = 641*h + 6. Let s(t) = 4697*t + 44. Let p(l) = -22*c(l) + 3*s(l). Let u be -3*(-3)\/(3\/5). Give u*z(d) - 6*p(d).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*n + 3*z = -503*n - 2, -2*z = 2*n + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -12. Let k = 2\/561 - -175\/3366. Let o = 29\/126 + k. What is the third biggest value in o, -0.04, n?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 18*p - 2. Let k be z(-10). Let h be ((-4)\/k)\/(48\/(-324)). Let m = 7\/130 + h. Which is the second biggest value? (a) 9 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 19*c - 39. Let i be (168\/54 - -6) + (-2)\/18. Let r be (-6)\/i - (469\/21 + -6). Calculate u(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 11*j**2 - 5*j**2.\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/1464 and 17\/5368.\nAnswer: 16104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 10*r**2 - 15*r + 12. Let h be (9 - -1) + -12 + 10. Let u be d(h). Solve 2*l - u = -3*b, -6*l + 28 = 2*b - l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**(-3\/11) assuming w is positive.\nAnswer: w**(6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 65*t**2 + 1247*t. Let b(u) = 10*u + 3. Calculate b(r(y)).\nAnswer: 650*y**2 + 12470*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 402 - 217 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7526 + 1?\nAnswer: 7527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 take away 2310480.61974?\nAnswer: -2310410.61974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4898 divided by 4?\nAnswer: 2449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -169, -325, -481, -637, -793?\n\"Answer: -156*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -238, -362, -488, -616, -746?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 305, 610, 915, 1220, 1525?\n\"Answer: 305*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 0*t**5 + 0*t**4 + 0*t**2 - 5*t + 0 - 7\/6*t**3 - 1\/15*t**6. What is the second derivative of h(x) wrt x?\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*o + 66, -70 = 4*v - 6*v - 5*o. Suppose 16*q - v*q + 7083 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 times 0.77\nAnswer: -1.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 1. Determine l(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -301310122210?\nAnswer: 301310122213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.15966 and 1743.\nAnswer: 1742.84034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 4*x + x + (2 - 3 - 1)*(x + 2 - 2))*((15*x - 61 + 61)*(0 + 1 + 1) + x + 1 - 1 + x + x + 3*x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g**2 + 3108*g - 15800. Calculate d(340).\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Let f(u) = -253*u - 4542. Let s be f(-18). Let m(o) be the third derivative of 0*o + 1\/2*o**4 + 0*o**3 + s*o**2 + 0. What is x(m(j))?\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/(-8))\/(3\/(-8)). Suppose 3*n - 4*r = -2*n + a, 2*r = -5*n + 20. Suppose -n*o + 6 = -2. Calculate the lowest common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -5 (b) 1 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 67*x\/3 + 850\/3.\nAnswer: (x - 50)*(x - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, -90 in decreasing order.\nAnswer: 11, -1, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {j: 3, i: 3, l: 10, y: 2, w: 1}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -32.3. What is the closest to 2\/5 in 0.1, 1\/6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a millisecond?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 23 (b) -11 (c) 2 (d) -2\/7 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7*s = -10, 444 = 2*r - 3*s. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44883070 rounded to the nearest one hundred thousand?\nAnswer: 44900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2 - h**3 + 5*h**3 - 6*h**2 - 3*h**3 + 6*h. Let n be f(5). Find the second derivative of -n*t**2 + t + 3*t - 5*t - 2*t wrt t.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*j - 5063, 21*n - 20*n = 2*j + 5065. List the prime factors of n.\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 12. Which is bigger: b or -2\/241?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77)*-2 + sqrt(77) - sqrt(77))*1)\/(sqrt(891)*2) + (4 + 6*sqrt(70)\/sqrt(490))**2.\nAnswer: 439*sqrt(7)\/63 + 148\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4689322851 to the nearest integer?\nAnswer: 68479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(42\/(-8)))\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 101.8. Let v = g + -5.8. What is the third biggest value in -0.5, v, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7834*l + 2. Let q(o) = -2*o. Determine q(d(x)).\nAnswer: 15668*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*h**3 + 3425079*h**2 - 761130*h.\nAnswer: 3*h*(h + 126855)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/(-440)*(-16)\/12.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 44*a + 6426. What is s(-146)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -235306 plus 15015.7?\nAnswer: -220290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.3. Let i = 1.2 + -1. Let t = 0.3 - i. Which is the nearest to t? (a) -2 (b) 4\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3121025 times 9\nAnswer: 28089225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*p - 21 = 0, -5*g + 1146*p = 1145*p + 52 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/7 + (-132)\/231.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**7\/1260 + y**4\/24 + 2*y**2. Let b(k) be the second derivative of c(k). Let l(d) = -4*d. What is b(l(r))?\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17363\/84 + 90617\/252. Solve -64\/9*u**3 - 28\/3 - 676\/9*u - l*u**2 = 0 for u.\nAnswer: -21, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwahrffw. Give prob of sequence rwf.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*g = 407 - 327 + 424 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 4*w - w + 56101*w**2.\nAnswer: 56101*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100.356 - -96.8. Let y = j - 0.204. Let g = 0.84 - y. What is g rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/3 + 23\/(-24). What is the nearest to 1 in 4, -105, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77.8679 - 0.0921. Let j = 90 - 14. Let r = j + o. What is r rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 27. Let n be (2\/(-3))\/(y + -6). Which is the nearest to 0? (a) n (b) -1\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845019893 to the power of 1\/2, to the nearest integer?\nAnswer: 29069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10164 + -183053\/18. Find the common denominator of d and -32\/105.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3498 is divided by 140.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -140754855543+-5699\nAnswer: -140754861242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2467, 2\/3, -3, 1, 0.73.\nAnswer: -3, 2\/2467, 2\/3, 0.73, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -370220*x - 1491683 wrt x.\nAnswer: -370220","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round 796420.93 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.321 - 0.079. Let b = x - -9.4000094. Round b to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48696 is divided by 402.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 3*h - 30, 10 = -14*g + 15*g - 4*h + 5*h for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*l = -11*l + 283 + 278 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-35)\/(-21) - (-236)\/(-2). Which is bigger: m or -124?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 9*x**2 - 7*x - 25. Let d be j(10). Let l be (-3)\/d + (-220)\/50 + 7. Solve -3*c = n + 14, l*c - 18 = 6*c + 2*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l*l**(-2\/49)*l*l))**(26\/3)*l*l**33*l**7\/l assuming l is positive.\nAnswer: l**(5932\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 209, 847, 1983, 3719, 6157?\n\"Answer: 17*v**3 + 147*v**2 + 78*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 15*f**2 + 24*f - 37*f**2 + 2*f + 6*f**3 - 2*f.\nAnswer: 2*(f - 2)*(f - 1)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 4162?\nAnswer: 4155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*m - 5*m + 12*m - 12 wrt m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4265, 4192, 4017, 3698, 3193, 2460?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10860.617 rounded to the nearest integer?\nAnswer: 10861","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*((-2)\/(-6))\/1. Let c = 6.332 + -6.38. Let q = c + -0.352. What is the second smallest value in q, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -332*o - 5641. Give h(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -593 (c) -3\/2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 + 78 + 24*v**4 - 79 - v - 3*v**2 as r + l*v**3 + b*v**4 + i*v**2 + f*v and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 2*m**2 - 21*m + 21. Give a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -20. Suppose 7*b - 10*b = g. Which is greater: 1\/3 or b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -1, -4, -124 in decreasing order.\nAnswer: -1, -4, -22, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9484 + 15221. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and 0.003.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*o**2 + 412521*o + 481299.\nAnswer: -3*(o - 22919)*(6*o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 2*l**3 - 2*l**3 + (0*l**2 + 3*l**2 - l**2)*(2*l + 0*l - 4*l) - 6*l**3 + 0*l**3 + 4*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122289988 to the nearest integer?\nAnswer: 11058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(9\/2))\/(4240\/(-5936))?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2789.\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 2, e: 1, l: 1, r: 8, v: 2}. Give prob of sequence erij.\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 4*r = 23, -4*d + 4 = -0*d - 4*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7230 + 7233. Suppose 0 = 3*h - 0*h - 1122. Suppose -2*z = -s - h, -y*z = -2*z - 4*s - 180. Is 45 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -35*r**4 + 454500*r**3 - 324615*r**2 - 129850*r = 0.\nAnswer: -2\/7, 0, 1, 12985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.1, -2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)\/c)**(4\/5)*(c**1)**24 assuming c is positive.\nAnswer: c**(584\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 915873, 915871, 915869, 915867, 915865, 915863?\n\"Answer: -2*z + 915875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-27)*z**(3\/7))\/(z**(-13))**(2\/15) assuming z is positive.\nAnswer: z**(3167\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -3a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355 = -206*c - 122*c + 57*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/(b\/((b\/(b*b**5*b))\/b))*b**(-1\/2)\/(b\/b**(2\/3)) assuming b is positive.\nAnswer: b**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 3*u**2 + 36*u - 115. Suppose 18 = 3*t - 3*x, t + 0*x + 19 = -4*x. Let p(l) = 1. Determine t*g(a) - 36*p(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30)\/(71\/1420).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 11653*v + 361142. What is q(-31)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - 8*q + 6. Let w(h) = 4*h**2 - h + 11. Let c(a) = -7*a**2 + 3*a - 21. Let d(n) = -6*c(n) - 11*w(n). Give 7*d(i) - 6*o(i).\nAnswer: -2*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*h + 3*z - 104, h = 4*z + 32. Suppose -11*a = -5*a - h. Calculate the remainder when 14 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-720)\/(-1824)*(-475)\/(-500)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 25*a - 3. Determine o, given that a*o + 4\/3 + 2\/3*o**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121 - 1020020113?\nAnswer: -1020013332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 3*v**2 + 2*v - 2. Let z be c(4). Put -1, -0.5, z in decreasing order.\nAnswer: z, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3950*i**2 - 6202*i - 10. Let r(h) = -3*h**2 - 4*h - 1. Let p(o) = -10*r(o) + u(o). Find the second derivative of p(k) wrt k.\nAnswer: 7960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (13 + -7 - 13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 15*x - 16*x. Which is smaller: x or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 20*i + 329. Let w(s) = -33*s - 549. What is -13*o(h) - 8*w(h)?\nAnswer: 4*h + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -44. Suppose -5*y + 130 + 80 = m. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*x - 84 + 268 = -260. Let k(p) = p**2 - p - 5. Let g be k(4). Which is the second smallest value? (a) g (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1300)*-3 + -3)**2*-6 + (sqrt(1300) + sqrt(1300)*2 + 1 - (sqrt(1300) + sqrt(1300) + (0 + sqrt(1300))*4)).\nAnswer: -70252 - 1110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**5 - 15*u**3 + 10*u**2.\nAnswer: 5*u**2*(u - 1)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**6\/40 - 19*s**4 + 1956*s**3 - 74*s**2 + 21. What is the first derivative of q(d) wrt d?\nAnswer: -9*d**2 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-182)\/(-104)*4\/(-28). Which is the third smallest value? (a) u (b) -2 (c) 9.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 + 6) - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 6*p + 20 = -5*z, 2*z + 8 = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -163023 or -163022?\nAnswer: -163022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*o**2 + 31*o**2 + 59*o**2)*(o - 3*o + 0*o).\nAnswer: -454*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-10))\/((-316)\/1185). Which is the nearest to -1? (a) l (b) -2\/3 (c) 0.2 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4144 and 5102818.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74031.\nAnswer: 3, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 10*n**2 - 8*n - 10. Calculate k(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 74644)*1\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-105)\/(-10))*130\/(-234).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1483289822.\nAnswer: 2, 7, 2707, 39139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -90*x**2 + 29*x + 6. Determine h(2).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*l - 1296, 646 = -2*l - j + 5*j. Let f = l - -504. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-4))\/(-3)*-48. Let l be h*2*4\/(-8). What is l rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8883, -8491, -8089, -7671, -7231, -6763?\n\"Answer: y**3 - y**2 + 388*y - 9271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 7*g**2 - 7*g - 1. Is s(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009428603 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkcjckklkckckkkclkkc. Give prob of picking 1 z, 1 j, and 2 l.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 - 22. Calculate the common denominator of y and -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/112*573722 - 2\/(-7). What is w rounded to the nearest 1000?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532484?\nAnswer: 2, 3, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + 4\/22 + 4\/(-22). Let u(m) = 61718*m**3 + 6*m**2. Let o be u(b). Round o to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 f, and 1 d when four letters picked without replacement from {g: 1, f: 1, d: 3, i: 3, u: 3, o: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 145, 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -17749.0974?\nAnswer: -17741.0974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10748240 to the power of 1\/2, to the nearest integer?\nAnswer: 3278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-496)*-31)\/(23\/(-782)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22401 - -3020?\nAnswer: 30421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 11. Let q be ((-10)\/(-15))\/(1\/6). Suppose -v = -q*z + 21. What is the least common multiple of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.9 + 0.9. Let n = -2.2 + y. Let m be (12\/8)\/(12\/(-2)). What is the third biggest value in n, 5, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 6*r + 4. Let s be m(3). Suppose -154 + 1698 = s*y. Suppose 0 = 2*l - y - 248. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2304, 12, -38, 1 in ascending order.\nAnswer: -38, 1, 12, 2304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4712476567 to the nearest integer?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 - 3*q**2 + 3*q**2)*(2168 - 1130 + 11467)*(-2 + 5 - 4) to l + y*q + j*q**2 and give j.\nAnswer: 25010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 5*i - 22*i**3 + 18*i**3 + 0 + 1 in the form t*i**2 + a*i**3 + w*i + k and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 25*o + 142 = -57*b, -5*o + 3*b + 26 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 0.2 (c) -3\/4 (d) 0.068219 (e) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**5 + 2*p**4 + p**3 - 28*p. Let i(b) = b**5 - b**4. Let w = -131 + 134. Let o(h) = w*u(h) + 6*i(h). What is the second derivative of o(y) wrt y?\nAnswer: 480*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53429?\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 4314.\nAnswer: -3\/1438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*i + 95*i + 119 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*j + 18. Suppose -4*a + 20 = 4*o, o + 5*a - 7 = 10. Find the third derivative of 5*f**3 + o*f**3 - j*f**2 - 3*f**2 wrt f.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-16))\/d)\/d**(-8)*d**14*d**(-8) assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -a**6\/50 + 3*a**5\/100 + a**4\/20 - a**3\/10 - 9*a - 1. Let h(y) be the first derivative of f(y). Solve h(x) = 0 for x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -116\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 14 = -f - 2*h, 5*f + 2*h - 30 = 0. Suppose 0*y - 2*d - 2 = y, -2*d = f*y - 4. Find the third derivative of 5*n**2 + 6*n**4 - n**2 - n**y wrt n.\nAnswer: 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2885*h**2 + 3*h - 3*h + 1684*h**2 in the form x + s*h + z*h**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3974270157.\nAnswer: 3, 11, 13, 1029337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 19502985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*j - 27 - 109 = 37*j - 5*s, 0 = j + 5*s + 156 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2769, 2903, 3127, 3441, 3845?\n\"Answer: 45*n**2 - n + 2725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4058 is divided by 512?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.884 + 3.910228. What is r rounded to four dps?\nAnswer: 0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 838167232 to the nearest integer?\nAnswer: 943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6978 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -127.177546 and 28.\nAnswer: -99.177546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 375 - 376. Let y(t) = -11*t + 37. Let g be y(3). Let i = -26 + 16. Which is the third biggest value? (a) i (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6591?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35194 + 0.06?\nAnswer: -35193.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.179072218673 from -47.5.\nAnswer: -46.320927781327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b + 7 + 14 - 19)*(2 + b - 2 + (0 - 1 - 1)*(-b + 4*b - 5*b)).\nAnswer: 30*b**2 + 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161747 by 188.\nAnswer: -161747\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/443854 and 55\/276?\nAnswer: 2663124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.9485 + 52. Let x = 0.0514729 - o. Round x to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-2))\/(5\/20) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5 = -2*d. Suppose -25 = -2*j + 3*k, 0 = d*j + 5*k - 2*k - 10. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -a - 4*t + 9, -18 = 4*a - 2*t. Let m be 4\/5 + a\/(-15). Let p(l) = -5217*l**3 + 10465*l**3 - 1 - 5247*l**3. What is p(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2701, 2707, 2727, 2767, 2833, 2931, 3067?\nAnswer: 3247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*v - 26037 = 0, 3*v = -4*h - 9082 - 16953. Let r = 1911 - h. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -38319*w + 19887560. Give t(519).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - b - 25 = 0, -3*b = -5*o + 2*b. What are the prime factors of ((-7545)\/18)\/o - 2\/(-12)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 86 = -68. What is the third derivative of 19*k**2 + 18*k**2 + 120*k**4 + 2*k**i - 2*k**3 wrt k?\nAnswer: 2880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -13 + 8 + 0 + -5 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, w: 5}. What is prob of sequence wbw?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -i - 0. Suppose -i*h + 24 + 1 = 0. Let w = -2 + h. Solve -y + 2 = -l, 5*l + 15 = y - w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112029437 to the power of 1\/2, to the nearest integer?\nAnswer: 10584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 755555789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1136272, -1136178, -1135914, -1135396, -1134540, -1133262, -1131478?\n\"Answer: 14*g**3 + g**2 - 7*g - 1136280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 12*t**2 + 8*t - 5. Let a(i) = -2*i**3 + 26*i**2 + 17*i - 11. Let v(x) = 4*a(x) - 9*l(x). Calculate v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 1:35 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3) + 1 - (6 + -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -10 - (-73 + 17)) + (1 - 9).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19910015 is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1773 or 1776?\nAnswer: 1776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:49 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 6071200?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 294*z + 195*z = -46500 for z.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 7:51 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1509 + 4324. What are the prime factors of a?\nAnswer: 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-429)\/66)\/((-2)\/((-16)\/(-26))). Let q(m) = 38*m**2 - 75*m - 2. Determine q(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + 0.53. Let h = 67\/85 - 10\/17. Put -0.5, -2, z, h in decreasing order.\nAnswer: z, h, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juwuuuwwwu. What is prob of picking 1 j and 2 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/7, 1\/4, 1, -88, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 448*z + 12544.\nAnswer: 4*(z - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + 3 - (1 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22255799\/406 + -54818. Let n = v - 9\/29. Calculate the common denominator of 266\/24 + (-2)\/3 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17296\/9*p - 4\/9*p**2 - 18696976\/9 = 0 for p.\nAnswer: 2162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(190) - -2*sqrt(190))*-3)\/((sqrt(120)*-2*-4 + sqrt(120))\/sqrt(12)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 25. Let m(u) be the third derivative of 0*u**s + 0*u + 0*u**3 + 4*u**2 + 0 - 1\/40*u**6 - 1\/24*u**4. What is the second derivative of m(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102221212 + -12011?\nAnswer: 102202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-22) + (-167320)\/1034. Calculate the common denominator of -17\/18 and 0 + (-68)\/(-18) + z\/(-81).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -146939*p**3\/3 - p**2 - 3*p + 3. Let a be z(-7). What is a rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.64 + 0.04. Let r = g + 1.1. Which is the smallest value? (a) -3 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11*q - 1)*(-2 + 0 + 5)*(-5*q + 3*q**2 + 5*q).\nAnswer: -99*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 148*a + 19. Let b(v) = -63*v - 9. What is -7*b(w) - 3*u(w)?\nAnswer: -3*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1202 and (-1771)\/(-1540)*(2 - 0)\/(-2).\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10681*s**2*v**3 - 25*s*v**2 + 18*s + v**3 - 5*v wrt s.\nAnswer: -21362*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009183 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-9330)\/(-1244))\/((-5)\/(-22))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -a + 6*a. Let j = -3 - a. Suppose -j = 3*q - 60. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 greater than 828033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 109, 203, 325, 469, 629?\nAnswer: 799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 20 = -4*h. Suppose h*v - 220 = -764. Find the common denominator of 17\/11 and (0 - v\/44) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*i - 13936*a**3 + 37*a**2*i - 2*i - 2721 wrt a.\nAnswer: 24*i - 83616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3654)\/616 - -6)*56\/42.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 13. Let b be c(4). Let s(m) = 7*m**2 + 21*m. Calculate the remainder when s(-6) is divided by b*(28 - 0) + (-36)\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1206506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*p = -308*p + 108. Find a such that -5\/2*a**2 - p*a + 0 + 1\/2*a**3 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*g + 2 + 2 - 5 + 4.\nAnswer: -47*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1095 + 1096.23. Are 18 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l - 2*u - 10, -3*l - 3*u = 18. Suppose -5*n + 4 = -n. Suppose -h = -4*y + 17, -3*h + y = -4*y + 16. Sort n, -2, l, h.\nAnswer: l, -2, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 71*w + 18. Let o(i) = 153*i + 37. Calculate -13*j(s) + 6*o(s).\nAnswer: -5*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 618867769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - (sqrt(72) + -2 + sqrt(72))))*6)**2 + 2.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11062716879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-5)\/10*2\/(-10)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -3 - (-3 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 325 - 310 + 11*d - d**3 - 5*d**2. Let m be q(-6). Let f = 122 - m. What are the prime factors of f?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 3*j**2 - 2*j + 2. Let r be l(-2). Let z = -8 - r. Solve z*o = o - 2*s + 23, -3*s + 3 = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46437 - -230573\/5. Let s = o + 321. Put -8, -0.1, 1\/4, s in ascending order.\nAnswer: -8, s, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4239*b*i + i - 2962 wrt b?\nAnswer: 4239*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*h - 2*h = -40, 2*h - 6 = -g. Put 2, g, 5 in increasing order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*v + 404920 + 73082 = 0, r + v = 238993. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1181775796 to the power of 1\/3, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6\/1469 - -127887\/20566. What is the common denominator of -5\/14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6))\/(60\/(-408))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3\/43 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (3 - -1 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 163433356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 8*v**2 - 5*v - 1. Let h be j(-9). What is the highest common divisor of 50 and h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/5)*u)\/(u*u**7))\/(u**(44\/3)*u*u*u**(-12\/5)) assuming u is positive.\nAnswer: u**(-301\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - -18 - (19 + -31 - -18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/24 - 7*q**3\/6 + 5*q**2. Let z be l(-6). Let m be 6 - 8 - (-11)\/4. Sort 3\/8, m, z in decreasing order.\nAnswer: m, 3\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -18. Suppose 0*r = -r + f. Let z(b) = 8*b**2 + 136*b - 392. Let g be z(3). What is the greatest common divisor of r and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 349865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11133 + -4701. Let v = y - 21166. What is v rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*b*b**16)\/(((b*((b*b**(-4)\/b)\/b*b*b)\/b)\/b)\/b**(-11)) assuming b is positive.\nAnswer: b**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**3\/15 - 88*j**2\/15 + 222*j\/5 - 84 = 0.\nAnswer: 3, 6, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2. Let b(u) = -9*u + 1924 - 3853 + 1931. Let m(f) = -17*f + 3. Let q(c) = -5*b(c) + 3*m(c). Calculate v(q(p)).\nAnswer: -180*p**2 - 60*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = x + 3*x. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/495 and -133\/3476770.\nAnswer: 31290930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000058224563 to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -8) + (60 - 56). Solve -z*p + 3 = 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/74814 and 85\/6993.\nAnswer: 4713282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 63 = -609*s + 604*s, 0 = -3*u + u - 2*u - 12 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let k = -27 + 27.3. Sort -4, g, k in decreasing order.\nAnswer: g, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1160.89 times -0.044\nAnswer: -51.07916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 163759, 327871, 491995, 656137, 820303?\n\"Answer: t**3 + 164105*t - 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-12))\/(77 - 83)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from {f: 1, g: 1, b: 2, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -338 + 338.2. Which is the second biggest value? (a) 4 (b) 1\/6 (c) q (d) 5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + i**3 - i**3 + (i - 3 + 3)*(-4*i**2 - 2*i**2 + 4*i**2) + 1 - i**3 - 1 - 128*i**3 - 169*i + 169*i)*(-2*i + 3 - 4 - 4)*(3 + 2 - 1).\nAnswer: 1056*i**4 + 2640*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -495 - -13363\/27. Let r = 0.3 - -1.7. What is the third smallest value in r, -2\/5, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47788 and 4595.\nAnswer: 238940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0 - sqrt(700)) + 2 + sqrt(700)*-2*-4 + 1*(6*(sqrt(700) + (sqrt(700)*2)**2) + sqrt(700)).\nAnswer: 150*sqrt(7) + 16802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*s**3 - 15882996*s**2\/5 + 6334488*s + 181504\/5 = 0. What is s?\nAnswer: -1\/175, 2, 22688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -25. Let o = d + -10. Suppose 4*g - 644 = -4*y, -o*g + 110 + 212 = -2*y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*1*5 - 6*(sqrt(21) + sqrt(21)*-2))\/(2*sqrt(14)\/sqrt(2) + (sqrt(7) - sqrt(14)\/sqrt(8))).\nAnswer: 22*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 882994397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 426210269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = -5*u, 3*u + 23 = 5*d + 9. Suppose -3*h + 6 = -3. Let j = h - d. Solve j*v + 3*v = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 149 = 106. What is the greatest common divisor of 187 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 190269 and -4?\nAnswer: -761076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*((sqrt(77) + (-2*sqrt(77) - sqrt(77))*-3)\/(sqrt(11) - sqrt(1584)*-1))**2.\nAnswer: -21000\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-107)\/3 - 4\/(-6). Let t be 2\/14 + (-100)\/l. Let k(v) = -v**2 + 2*v - 3. Determine k(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 6*f - 5. Let h = -50 - -52. Suppose 0 = h*s - 0 + 8. Let j be q(s). Which is the third smallest value? (a) 1 (b) j (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(2\/9)*(s\/(s\/(s**(-4)\/s)*s))\/s*(s*s\/s**(1\/4))**(-9\/7) assuming s is positive.\nAnswer: s**(-289\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1953.25929 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*y - 6 = -3*s, s = 2*y + 2. Which is the closest to s? (a) -14 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20121021 + -100212?\nAnswer: -20222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -212 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 9*g + 23. What is h(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71, 154, 325, 632, 1123?\n\"Answer: 8*o**3 - 4*o**2 + 39*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*i - 25. What are the prime factors of (i\/(-5))\/(3\/14)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 6. Let t = -2.2 - -0.2. Let m = 2 - t. What is the closest to j in 3, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.824 - 0.116. Let o = 0.06 - g. What is the second biggest value in -2\/15, o, -0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {y: 2, t: 1, k: 1, n: 2, q: 1, h: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 y when four letters picked without replacement from {w: 4, t: 1, y: 3, f: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**3\/6 - z**2 + 3*z. What is the remainder when (1\/(-2))\/(2\/(-76)) is divided by f(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 4, 61\/3, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 536.6305m?\nAnswer: 536630.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 - 136. Suppose -i - g*t = -121, -4*t - 143 = 4*i - 639. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 0.5, 295, 10\/11, 2\/147, 0.01?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -r + 89. Let c = 322 + r. List the prime factors of c.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 - 25 + 22*c)*(83*c - 1 - 56*c + 2).\nAnswer: 594*c**2 + 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7410\/(-15561))\/(2\/(-7))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 700\/200*(-12)\/14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 18*q - 11*q**2 + 0*q**3 + 3*q**3 - 20*q - 8. Let s(v) = 2*v**3 - 10*v**2 - 3*v - 7. Let o(p) = 3*l(p) - 4*s(p). Give o(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 37*q**2 + 89*q + 28. What is the units digit of w(39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z + 169. Let q be d(9). Let f be ((-1 + -1)\/(-2))\/(-1). Sort q, f, 8 in decreasing order.\nAnswer: 8, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3\/4)\/h*h*h**(1\/3)*h*(h**(-1\/4))**(3\/8) assuming h is positive.\nAnswer: h**(47\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 3*g + 3. Let r(u) = u**2 + 2*u + 2. Let y(b) = 2*k(b) - 3*r(b). Let w(v) = 10*v**2. Calculate w(y(c)).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*h - 94*h = -5*x + 1, 0 = -3*h - 4*x - 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14427301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -57, -120, -205, -312, -441, -592?\n\"Answer: -11*z**2 - 8*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6559383 and 12048?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 19, 40, 79, 142, 235, 364?\n\"Answer: q**3 + 2*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11638*d**4 - 62*d**3 - 1211*d + 364?\nAnswer: -139656*d**2 - 372*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 8}. What is prob of sequence ll?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196463.\nAnswer: 223, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*j - 1173 = -271 + 394 + 510 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -296 and 0.509873753.\nAnswer: -295.490126247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (2 - (-2 - -5)). What is j in 4 + 3*j - 3*j**2 - l - 3*j**3 + 4*j**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - (-3 + (-1 - -1)). Let v be (0 + 8\/(-38))\/w. Let t = 5.12 - 0.12. Sort t, v, -4.\nAnswer: -4, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16975, -33928, -50905, -67906?\n\"Answer: -12*n**2 - 16917*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 284.7057ml?\nAnswer: 0.2847057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2148 and 144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlpaapa. Give prob of sequence lj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 + 5*i - 1. Let g be w(4). Let l(d) = 9*d - d**2 - 9*d + 6*d**g + 1. What is l(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 - 4*t + 4. Let p be g(1). Solve -5*q = 21 + p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 202972?\nAnswer: 3044580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/20640 and 71\/3390120.\nAnswer: 13560480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.8 - -101.2. Let x = 134 - w. Let k = -6 + 2. Which is the nearest to -2? (a) x (b) k (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 80 (c) -2\/3 (d) 14.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjzxzmmmjkmfzxjmxmm. What is prob of picking 1 x and 1 f?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1998849 (base 11) in base 6?\nAnswer: 200040110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/258 and -149\/205758?\nAnswer: 8847594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 9) to base 16.\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 - 3*r**2 + 4*r**2 + 7*r**2 - 4*r**2 - r**2 + (1 - 5 + 2)*(-3*r**2 + 2*r**2 - r**2) - r**2 + 2*r - 2*r - 7*r**2 + 8*r**2 + 31*r**2.\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811189.\nAnswer: 17, 47717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -121*m + 119*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 282 - 285. Let v = 0 + 0.6. What is the nearest to x in v, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 211375 - 1?\nAnswer: 211374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c - 6. Let u(z) = -6*z**2 - 11*z - 7. Let m be u(c). Let y(p) = -p - 20*p - 7*p + 44*p**3. Let d(w) = -8*w**3 + 5*w. Calculate m*d(j) - 5*y(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128 - -81. Let i = -46 - a. Is i greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(39)\/(sqrt(18)\/(sqrt(6) + sqrt(24)\/sqrt(4)) + sqrt(3)) + (-5 + 2 + sqrt(52)\/sqrt(4) + 2)**2 + -3.\nAnswer: -4*sqrt(13)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 9*c + 164. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0075188 rounded to 5 decimal places?\nAnswer: -0.00752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 7*y + 0*y + (1 - 1 + y)*(3 + 1 + 1).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/1)\/4 + -1. Let b(o) be the second derivative of o**5\/4 - o**4\/12 + o**3\/6 - o**2\/2 - 2*o. Let x be b(1). Solve 2*v - d = x*m, 4*v = -13 - 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61568*h**2 - 3 + 61568*h**2 + 68*h**3.\nAnswer: 68*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - -1) + -3 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*p - 32*p + 80 - 20 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxrwxwrfwici. Give prob of sequence rwxc.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -409c1?\nAnswer: 409b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**3 + 201*d**2 - 46*d + 241. Let o be n(40). What is the nearest to o in 1, 2, -5, -0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43, 204, 495, 934, 1539, 2328?\n\"Answer: 3*v**3 + 47*v**2 - v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = x - 2*u, 4*u + 1090 = 3*x - 600. List the prime factors of x.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a + 115. Let u = -177 + 184. Let n be j(u). Let b(f) = f**3 - 3*f**2 - f + 1. Give b(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 2\/4 + -2. Let w = 8 - 8. Let c = -0.4 - w. What is the third smallest value in -2\/3, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7041, 4\/13, 12\/5.\nAnswer: -0.7041, 4\/13, 12\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/17 (b) -2\/9 (c) 19 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 9*o + 22. Suppose -w = -634 + 626. Calculate z(w).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-3)*(-306)\/(-12) and 4 - (-4 + (-132)\/(-40)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010387214087 rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 431633 (base 13) in base 15?\nAnswer: 211608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*w**2 + 80*w + 1623*w**2 + 5 - 82*w - 276*w**2.\nAnswer: 1634*w**2 - 2*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnrnrnnnrr. Give prob of picking 1 r and 1 n.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3166970 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 3*c)*(-1 + 0 - 1)*(2*c + 2*c - 3*c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/16 + 15\/(-20). What is the closest to 1 in w, 2, -0.6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 + 2*m. Let c(w) = -w**3 - 7*w**2 - 7*w - 8. Let r be c(-6). Let s(t) = 16*t**3 + 11*t. Give r*s(i) + 11*p(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d*d**(-8)*(d**(-1\/2))**(-2\/21))**37 assuming d is positive.\nAnswer: d**(-7733\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:17 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*c - 305 - 22*c + 16*c)*(-16 - 57*c + 16) to the form m*c**2 + w*c + s and give w.\nAnswer: 17385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + (-4 - (5 - 3) - 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23, -57, -103, -161, -231, -313, -407?\n\"Answer: -6*z**2 - 16*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -388750*d - 1. Let q(s) = 598*s**2. What is o(q(t))?\nAnswer: -232472500*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y**(-1))\/(y\/y**(-1\/2))**16)\/((y\/y**(-6\/7))\/y*y*y*y**5)**(-16) assuming y is positive.\nAnswer: y**(691\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -379 and -183.817.\nAnswer: -562.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {v: 3, c: 2, g: 4, o: 4, w: 1, d: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 1111122100?\nAnswer: -1111122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -58 - (-32)\/(2080\/(-325))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 239220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 0 + 0)*(2*w - 2 + 2) - 4 + 4 + 2*w + (0 + 2 - 4)*(-2*w + 2 - 2))*(w + 2*w**3 - w) in the form u*w**3 + o + z*w**2 + q*w + t*w**4 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12) + (-150)\/(-180) + 17\/(-21)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 133920.\nAnswer: 133920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 6. What are the prime factors of 25 + k + 2 + 3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 3*x - 11. Let c(w) = 4*w**2 - 9*w - 35. Let d(i) = -2*c(i) + 7*m(i). What is d(-6)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/47)*u)**(13\/5)\/(u**(-22)\/u**(-1\/2)) assuming u is positive.\nAnswer: u**(11379\/470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 4 - 26*c - 2)*(3 + 0 - 2)*(2*c + 8*c + 8*c).\nAnswer: -486*c**2 + 36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 5 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2021 + -2026. Put 64, p, -1 in descending order.\nAnswer: 64, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -21 + 39 + 31 - 4*a + 32*a. List the prime factors of u(2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 26223, -2, 11, 1 in ascending order.\nAnswer: -5, -2, 1, 2, 11, 26223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 - 4*t**2 - t**3 + (-121*t**2 + 250*t**2 + 2*t**2)*(-t - t + t)*(0 + 0 + 3).\nAnswer: -394*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*p**4 - 169*a*p**2 + 2*a*p - 198*a wrt p.\nAnswer: 24*a*p**2 - 338*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 743258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -13*a**2 + 93*a - 12. Let k be n(7). What is the greatest common divisor of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.3 (b) 21147 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4 + 28*u**3 + 118*u**2 + 60*u - 207.\nAnswer: (u - 1)*(u + 3)**2*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/7 - (-64)\/(-14). Let u = 9 + o. Solve p = -p - u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 865, 863, 857, 847?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -2*t**3\/3 - 13*t**2\/2 - 1. Let h(a) = -4*a**2. What is h(p(y))?\nAnswer: -16*y**4 - 208*y**3 - 676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(746\/6 - -2)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 46720.\nAnswer: -3\/46720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(1\/2))\/(28\/70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -32*k + 2*k**2 + 32*k. Let d(q) = 4*q**2. Determine s(d(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 8038392?\nAnswer: -8038397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31994 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, p: 5, w: 3}. Give prob of picking 3 g.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8514831 is divided by 198018?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599.5423um to kilometers.\nAnswer: 0.0000005995423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 17*c**2 + 13*c - 6. Is g(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3, 4*v - 5*b = 2 - 17. Let t be ((v\/(-3))\/3)\/(-2). Suppose -3*o + o + 44 = t. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-129)\/(-4))\/(-1))\/((-261)\/696). Let c = n + 64. Let p be 59 - (2\/1 - 3). Calculate the highest common factor of c and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**4\/4 + 314313*s**3\/4 + 1257285*s**2\/4 + 1571619*s\/4 + 314325\/2 = 0.\nAnswer: -2, -1, 104775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*j - 4*t, -4*j - 22*t = -17*t - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*s - s. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9857*p = 3*o - 9859*p + 14, 2*o + 16 = 3*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l - 6. Suppose 6*i + 15 = 3*i. Let c be o(i). Suppose 0 = c*h - 2*h - 6. What is the remainder when 5 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, 39, 87, 149, 225, 315, 419?\n\"Answer: 7*g**2 + 13*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m + 16. Let s be t(-12). Let n = s - 72. Calculate the remainder when 76 is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 246008 and 9338?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1922006659, -1922006658, -1922006657, -1922006656, -1922006655?\nAnswer: -1922006654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 293*n**2 - 2*n - 4*n**3 + 5*n**3 + n - 294*n**2 + 1. Let t(d) = -5*d**3 - 7*d**2 + 2*d - 2. Give t(w) + 2*y(w).\nAnswer: -3*w**3 - 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.2, 1, -2\/3, 4, -2\/75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4672298747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2052490*o**5 - 980*o**2 - 4*o + 24 wrt o.\nAnswer: -123149400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0581 + -0.2\nAnswer: -0.2581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-28))\/(-4 - (-105)\/28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v + 19. Let g be i(-8). Let k = g - -9. Let f = -0.03 - 0.17. What is the smallest value in f, k, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2488\/11 + 226. Let w be (-3 + 1718\/110)*1. Let j = -64\/5 + w. Is k at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 6921 (c) -5 (d) -0.63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 take away 0.55?\nAnswer: -1.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + dd8f?\nAnswer: dd90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -206, -348, -490, -632?\n\"Answer: -142*r - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94567 and 5104.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1321169 is divided by 17853?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 2*p**4 + 2*p**4 - 1 + 1 + p**4 + (3*p**3 - 3*p**3 - p**3)*(2*p + 2*p - 6*p))*(3 - 30*p - 43*p - 5) - 4*p**4 + 2*p**5 + 4*p**4.\nAnswer: -290*p**5 - 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 855.977 micrometers?\nAnswer: 0.0855977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1885\/2*(-23)\/(253\/(-22))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9*x + 2*l + 6243, -3*l - 1246 = -x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*12.406.\nAnswer: 12.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/379? (a) -225\/7 (b) -26 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7371 divided by -21.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243 + -97. Suppose -1119 + y = -7*w. What are the prime factors of w?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (203750\/(-6))\/(8\/384). Round s to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let f(r) = -2*r**2 + 5*r - 5. Let y(o) = -o**2 - o + 1. Let m(q) = f(q) + 5*y(q). Determine m(h(d)).\nAnswer: -28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**6*t*t*t**(-4)*t)\/(t**(3\/5)*t**(1\/4))*(t**(-2\/7))**(-24)*t**3*t**(-3)\/t assuming t is positive.\nAnswer: t**(1401\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppqccpapkapqpac. Give prob of picking 1 p and 1 a.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -341428 - 0.1787\nAnswer: -341428.1787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 5) in base 11?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 37*i + 212. Let x be n(40). Suppose 0 = -17*d + 13*d + x. Solve 7 = -2*f + 3*f + 5*k, -5*f = -4*k + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 - 38229*l\/4 - 345033.\nAnswer: 3*(l - 12779)*(l + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:40 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 29. Suppose y = 3*n, n + 55 = 2*w - 60. Suppose -5*p - 5*q = -w, -20 = -2*p - 3*q + 2*q. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -c + 3*l - 2*l, -865*c - 15*l = -860*c + 270 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2 + 5352*k + 249984 = 0.\nAnswer: -1736, -48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 272407\nAnswer: -272406.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -486\/5 - -97. Which is the third smallest value? (a) -0.3 (b) -102 (c) j (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395 + 2. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)*4\/24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Suppose w*z = -0*z + 32. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-6)*0\/(-2). Suppose y = -29*c + 126754 + 50175. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/40 - j**5\/20 - 4*j**2. Let c(p) be the third derivative of p**6\/40 + p**5\/30 + 96*p**2. Determine -3*c(k) - 2*u(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101100 (base 3) to base 2.\nAnswer: -11011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1260628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/31795536 and 111\/112.\nAnswer: 222568752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaynypnmanyan. Give prob of picking 2 n and 1 m.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0, -21, 0.1787, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0631 times 2.749\nAnswer: 0.1734619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m. Let s be t(-2). Let x be 3 - (s\/3)\/2. Let i be (-15)\/9 + 2*1. Which is the third smallest value? (a) -3 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.218949 and -5.\nAnswer: -1.094745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32045833*l**2 - 631935546*l wrt l?\nAnswer: 64091666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (15 - 35) + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27608, 55324, 83120, 110996, 138952, 166988?\n\"Answer: 40*q**2 + 27596*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus 383659955?\nAnswer: -383659939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 2*k**3 + k**3. Let p be j(1). Suppose 291 = 2*c + g + 2*g, -p*g + 449 = 3*c. What is the highest common factor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 + 5 = 0. What is the units digit of (b + 0)\/((-2)\/38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 3 - 3 - 1. Let m(d) = -8 + 15 - 5 - 1. Give m(n) + u(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 111 = -3*u, -3*o = 2*u - 38 - 21. Let f = 29 - o. Let d = f - 6. Solve -9 = -d*n - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 5*f + 2. Let j = -88 - -92. What is the remainder when 33 is divided by x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 2*i**2 + 4*i - 4. Let c be x(2). Suppose 0 + 16*y**4 - c*y**5 - 12*y + 0 + 8*y**3 - 48*y**2 - 24*y = 0. Calculate y.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 50.19493 weeks?\nAnswer: 30357893664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.006 times 38\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-1 + sqrt(160))\/sqrt(5)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 303789538 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 531 in 2\/11, -2, 0.4, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 8. Let s(f) = -17*f + 55. Let x(b) = s(b) + 6*z(b). Let u = 499 - 502. Let n(w) = -6*w + 4. Give u*x(q) + 5*n(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 6298542*n**2\/5 - 6298541*n\/5.\nAnswer: -n*(n + 1)*(n + 6298541)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/6 and -8 + 3 + 295\/(-1320) + 5.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {k: 1, m: 1, u: 10, j: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 684315*v**2 - 1368619*v**2 + 684299*v**2 - 1 + 4 - 8*v.\nAnswer: -5*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(245) + -1 + sqrt(245) + sqrt(245))**2 + sqrt(245).\nAnswer: -35*sqrt(5) + 2207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Suppose x*b + 4 = b. Let z(n) = 4*n**3 - 6*n**2 - 4*n**3 - n**3 - 4 - 4*n + 1. Calculate z(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 19416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2 (b) -3\/5 (c) -9423 (d) 1 (e) 0.2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18119036.\nAnswer: 2, 13, 348443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/26039 - -26043\/52078. Which is the closest to -1? (a) 2\/3 (b) m (c) -0.5 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 - -3)\/((-2)\/4). Let s(r) = 1 - v*r - 4 + 19*r. Let z be s(-1). Which is greater: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12120787 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -0.2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2. Let p(l) = l**3 + 8*l**2 + 5*l - 6. Let c be p(-7). Let x(i) = 20*i - c*i**2 + 12*i - 36*i. Let n(z) = 10*j(z) + x(z). Let n(f) = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + 301200324?\nAnswer: 301200240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 232?\nAnswer: 13\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562549348?\nAnswer: 2, 140637337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**4\/18 + 158*g**3\/9 - 6241*g**2\/3 - 54*g + 1. Factor k(u).\nAnswer: -2*(u - 79)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -544712813\/1656192 + -1\/87168. Let f = t - -329. Suppose 3*j - 10*j = 0. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/6 + 5585*m**2\/6 + 75004*m\/3 - 161182\/3 = 0 for m.\nAnswer: -5558, -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**3\/7 - 102*j**2\/7 + 552*j\/7 + 3648\/7 = 0.\nAnswer: -38, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1977, 2000, 2037, 2088, 2153, 2232, 2325?\n\"Answer: 7*g**2 + 2*g + 1968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266 + 98 - 127)*(8 + 7*t - 8) + (-1 + 3 + 0)*(-3*t + 3*t - 2*t) + 5*t - 5*t + 2*t.\nAnswer: -2067*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*h + 1350 = -29*h. Solve -14 = -h*y + 52*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/3)\/q)\/(q\/((q*q**6)\/q)*q)*(q\/(q\/(q\/(q*((q*q*q**(-2)*q)\/q)\/q)*q)))**(7\/3))\/((q**0)**(-1))**(-35) assuming q is positive.\nAnswer: q**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02552 plus -395894.509?\nAnswer: -395894.53452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -957, -947, -937, -927, -917, -907?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 723, 736, 751, 768, 787?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 - 2*c - 2*c + 6*c - c.\nAnswer: c + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(320)*2 - (sqrt(320) - 1*(sqrt(320)*-4 + sqrt(320))))**2.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 0.5 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 11*v - 9. What is c(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/74 - -139\/222. Let k(z) be the second derivative of 0*z**3 + 0 - h*z**4 + 5*z**2 + 3*z. Differentiate k(c) wrt c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 14) to base 8.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1542048549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 4\/157, 127, 0.24 in decreasing order.\nAnswer: 127, 0.4, 0.24, 4\/157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32763, 65518, 98273, 131028, 163783?\nAnswer: 196538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42647 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -72*o - 271. Let l be d(-4). What is the greatest common divisor of l and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18062778?\nAnswer: 2, 3, 3010463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0*-729879\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18*r**2 + r. What is y(-2)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 592 = -152. Let r(g) = -3*g - 6. Let m be r(-5). Let y = l - m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let y = 21144 - 148007\/7. Let p = 22 + -16. Which is the nearest to 0.1? (a) y (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 132a8 - c?\nAnswer: 1329c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**2*n**2 + 1471*k**2 + 303*n**2 wrt n?\nAnswer: -6*k**2*n + 606*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 38 * -0.10928\nAnswer: -4.15264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 16*w**2 + 2*w + 12. Let q be v(-8). Calculate the remainder when 73 is divided by (-300)\/q*3\/9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3986?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -439*i**4\/4 - 2*i**3 + 371. What is the third derivative of f(v) wrt v?\nAnswer: -2634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4470 + 133*o - 4473 - 137*o. Let w(d) be the first derivative of 7*d**2\/2 + 5*d - 1. What is 5*l(b) + 3*w(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/4 - 14*w**3 - 59*w**2 - 33*w - 136. Suppose a = -0*a + 16. What is the smallest common multiple of a and z(-39)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -9 (b) 2\/3 (c) -2 (d) 2\/127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 260997566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = c - 87, 0 = -m + 6*c - c - 95. Let u = 4 - m. List the prime factors of u.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 22*b**2 - 7*b**2)*(0*b + 3*b - 5*b) + 5*b - 5*b + 3*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 215723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 325 = -841. Let p = -85 - g. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1039 + -718. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(3\/5))*(q\/(q*(q\/(q**(2\/11)\/q))\/q))\/q)**34 assuming q is positive.\nAnswer: q**(-4522\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let v be w(4). What are the prime factors of 3 + -2 + v + 23?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 5*i + 55, -5*b + b + 4*i = -4. Let v be 0\/(b - 6\/2). Suppose -w = -v*w. Solve w = -3*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -13, 1\/2, 2\/3 in decreasing order.\nAnswer: 19, 2\/3, 1\/2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 97*a + 138. Give o(-47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218232239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - w. Let y be x(-1). Find the second derivative of 2*j - 4*j**y - 7*j - 3*j + 4*j wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*d = -96*d + 154. What is the highest common factor of d and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.94496 seconds in hours?\nAnswer: 0.0413736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:55 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + (4 + sqrt(847) + 0 + 4 + 3)*-3*5)**2.\nAnswer: 53460*sqrt(7) + 216817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164313 and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**5\/60 + 9*n**2. Let v(m) = -7*m**2. Determine u(v(b)).\nAnswer: -49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 645 and 20835?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u - 82 = -2*j, 0 = 2*u + j + 35. What is the common denominator of (1\/(3\/122))\/8 and ((-476)\/12)\/(11 - u)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 846 + -258. Suppose -t = -15*a + a. Let w = -186 - -311. Calculate the remainder when w is divided by a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a year?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9954231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/12)\/(6\/45). Let m(k) = 9*k**3 - 5. Let z(u) = -10*u**3 + 6. Determine d*z(p) - 6*m(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*3\/153*6\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53367829?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10910 a factor of 1621650492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*5*sqrt(52))\/(sqrt(576)*2).\nAnswer: -5 + 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 4*u - 4*k - 12 = 0, -9 = 4*u + 3*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43775718 divided by -6.\nAnswer: -7295953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 22*i + 38*i - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 54 = -0. Let x = 21 + -18. What is the remainder when m is divided by 1*(-20)\/(-12)*x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.5, 13, 5, -0.5, 5\/119, 0.1, 27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 74, 82, 94, 110?\n\"Answer: 2*y**2 + 2*y + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*v - 44 - 4, -2*v - 28 = 2*k. Let p(j) = j**3 + 16*j**2 + 53*j + 25. What is the remainder when 232 is divided by p(k)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-13)\/26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 267845 = -5*i, -i - 13*b + 53569 = -15*b. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h. Let v(x) = 27*x**2 + 1 - 22*x**2 - 1. Give b(v(t)).\nAnswer: -40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7690559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26137 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - d + d)*(-2 + 0 + 1) - 4*d - d + 3*d + 2 - 5 + 2 + 3*d in the form u + f*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-8)\/(-72))\/(-7 + (-558)\/(-80))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4 (c) 5 (d) -0.51 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 - 2*j**5 + j**5 + 3*j**5)*(1 + 0 + 1)*(-29 + 87 + 98).\nAnswer: 624*j**5 - 624*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(432) + 4 - (sqrt(1536)*1 - sqrt(1536))\/sqrt(8).\nAnswer: -24*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 29. Let c be a(13). Let m(h) = -h + 5. Let g be m(c). Solve 4*s - 4 = g*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 150*y + y**2 + 1\/24*y**4 + 0 + 1\/6*y**3. Let o(c) = -9*c - 12. Calculate -2*o(t) - 22*u(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-1*(-373)\/(-1). Let w be 4*(-3)\/(-30)*(-7 + -8). Is (v\/3)\/(2\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*462\/35*18\/(360\/(-25))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49754324947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 752942833 and 4.\nAnswer: 3011771332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -63)\/((4\/20)\/((-2)\/5))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6*z = 5. Solve -p = z - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2. Let p(n) = -858399*n**2 - 59. What is p(y(c))?\nAnswer: -7725591*c**4 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2649474 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/10*(-10)\/65.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/9 + g\/3 - 7. What is o in l(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 186.9245 and 5.\nAnswer: 191.9245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*j + 13 - 0, -j = -3*s - 13. Suppose y - 3*f - 17 = -j*f, -2*y = -2*f - 14. Solve 2*m + 8 = 0, n + 2*m + y = -0*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880789 (base 10) to base 2.\nAnswer: 11010111000010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 45359*m - 45360*m + 25, 19 = 4*m - 7*i for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n - 654 = -26*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 17. Let z = s - -1. Let y = z + 7. Solve -m - 5*t - 11 - 4 = y, 3*m - 3*t = 27 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 24 = 5*i, 65 = 3*g + 47 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-4)\/15))\/((2664\/64)\/(-111))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**2\/2 + 84*i - 1176 = 0?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -300?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393 by 3.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-53)\/(0 + -3 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 302 and 92714.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 4*o - 1. Let h be j(2). Suppose -h*q - q + 2*b + 2 = 0, 14 = q + 4*b. What is the nearest to -1 in 0.3, q, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/2 - 6984501*h - 48783254219001\/2 = 0.\nAnswer: -6984501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -162, -243, -324, -405, -486?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/9? (a) 2 (b) -5\/3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - s + (2*s + s - s)*(-5 + 1 + 6) + (3 - 2 + 0)*(-s - s + s) + (7*s - 11*s - 9*s)*(2 + 2 - 6).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4534150 is divided by 470.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 12*n + 18919 = 3*k, 3*k = -9. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -339, -6, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-12)*3*(-15)\/15.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 35 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/6 - (-10)\/(-18)*9.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 5. Let s be 3404\/4140 + (-6)\/10. Which is bigger: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b + 45*b = -j - 116, 5*j = -2*b + 36. What is the highest common divisor of b and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-3))\/((-7)\/(-630)) + 4. Let n = -65 + j. List the prime factors of n.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*s + 3*s - 4, 10 = 5*s. Let h be (5\/15)\/((-2)\/(-18)). Let j be (-1 - -1) + (-96)\/(-4). Solve -4*r = -0*d + m*d - 6, h*r - 5*d = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103.591826 rounded to the nearest ten?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -2*q - n, -9*q = -4*q + n - 811. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 2*u**6\/15 - 3*u**2 - 2*u. Differentiate o(g) with respect to g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) 3 (c) -73 (d) -3763\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/50, 3, 0.52, 0.2 in increasing order.\nAnswer: 3\/50, 0.2, 0.52, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -0*j - 2*f - 236, 0 = -4*j + 3*f + 186. What is the remainder when j is divided by 10*(0 + 5\/2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2671301*g**2. Let w(x) = 136*x. Determine a(w(p)).\nAnswer: 49408383296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s - 20*s - 180 + 266 - 86.\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**4*y + 79*k**2*y + 13432*k**2 - 10723140*y with respect to k.\nAnswer: 8*k**3*y + 158*k*y + 26864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - -1)*(-3)\/(-8). Let t(v) = 6*v**2 - 372*v + 3826. Let r be t(13). Is o at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 93*l**2 + 14*l - 1. Let d(t) = -40*t**2 - 6*t. Let m(v) = 3*b(v) + 7*d(v). Let q(u) = -6*u**2 - 16. Give 14*m(i) - 3*q(i).\nAnswer: 4*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7572562 divided by -3786281\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -104700 rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11*353.9\nAnswer: -3892.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62157?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40402*q**3 - 46785*q wrt q?\nAnswer: -242412*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2222*o**2 + 5367*o**2 - 3137*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 20*q**3 + q**2 - 2*q + 1. Let c be p(1). Let f be 2\/8 + 15\/c. Let r = f - 0. Put 2, r, -5 in ascending order.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 9*f**2 - 3. Let w be x(-9). Let r be (-2)\/w + (-16)\/6. What is the units digit of (-5)\/r - (-4)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 20 + 4 = 3*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 4472268*r + 2500147632978.\nAnswer: 2*(r + 1118067)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*c - 77*b*l - 244*b - c*l wrt l.\nAnswer: -77*b - c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -36. Let o = -28374\/41 - -692. Is l smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -101011001100100?\nAnswer: 101011001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17929298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*m + 206569 + 0*m - 7801*m**3 - 206754 with respect to m.\nAnswer: -23403*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.095*0.119\nAnswer: 0.011305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g - j + 35, -2*g = -2*j - 74. Let i be (35\/(-2) + 1)*-2. Suppose i*k - 3 = g*k. Is -3 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/81 - -278\/2835. Let f = y - -446\/105. Factor -11\/3*a + 2\/3 - f*a**3 + a**4 + 19\/3*a**2.\nAnswer: (a - 2)*(a - 1)**2*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -3*u**7\/14 + 3*u**3\/2 - 7*u. What is the second derivative of r(a) wrt a?\nAnswer: -180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50031 or -50032?\nAnswer: -50032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 301 or 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + i - 3 + 0 = 0, -l - 4*i = 15. Is 89 - (-3 - l\/1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4057759258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -88521158, 4, -4 in ascending order.\nAnswer: -88521158, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341700 is divided by 353?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 247000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 181\/10 in 2, -26, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385350 divided by -15414?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-3))\/(z\/((z\/(((z\/z**(-1\/8))\/z*z)\/z))\/z))*z**(-2\/3)*(z**(-1)\/z)\/z)**(-1\/46) assuming z is positive.\nAnswer: z**(-5\/1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 2920869792.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-1))\/(4\/6). Let x be s\/4*(-26)\/(-3). Let l = 41 - x. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 1. Suppose -4*b = 2*q - 4, 5*b + q + 1 = -3*q. Let d be y(b). Suppose -h = -16 + 4. What is the greatest common factor of d and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + 6 + -4 + 10 + -17.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31317552*v + 31317558*v - 62635109*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/3694352 and 53\/120468?\nAnswer: 11083056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6\/5)\/(l**(-8)\/l) assuming l is positive.\nAnswer: l**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11721731 to the nearest ten thousand.\nAnswer: -11720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 581\/(-189) + 6\/81\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 6*g**2 - 7*g - 7. Let k be z(-5). Suppose -j - 7 = 5*w, w - k*j = -0*w + 5. Let r be 16\/45 - 2\/9. Which is smaller: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -99, -114, -129?\n\"Answer: -15*c - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72.9 and 40119440.\nAnswer: 40119512.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 29.77 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = 42*j - 108. Calculate the remainder when 70 is divided by j.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 43. Let b = 14 - k. Is 5*(-2 + (-93)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/4 - 18\/(-10)*350\/(-30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 4. Let y be f(-5). Let n = 0.5 - 0. What is the nearest to y in 1, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*d - 2*d = -115, 4*v - 142 = -d. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39035 - -39155. Let p = 427 + -292. Calculate the highest common factor of p and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 7*i**2 - 2*i - 2. Calculate the lowest common multiple of t(-7) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 139.9.\nAnswer: 136.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3.2, 3, 0.4 in descending order.\nAnswer: 19, 3, 0.4, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y - 15*y + 27*y)*(8 - 8 - y**2) - y**3 - 3 + 3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 3*h. Solve h = 7*y + 112 - 112 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17453*z**2 - 5814*z**2 - 5781*z**2 - 5887*z**2.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 414, 398, 340, 222, 26, -266, -672?\n\"Answer: -3*s**3 - 3*s**2 + 14*s + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124858, 499301, 1123378, 1997095, 3120458, 4493473?\nAnswer: 6116146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 84795 times 0.1\nAnswer: 8479.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrtwtrrrwwrrrrrrrr. Give prob of sequence twrw.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 - 10 + 12)*(-35*v - 9*v + v + (-9 + 9 + 3*v)*(0 + 0 - 1) - 1 + 1 - v) - 2*v + 5 - 5 to z + d*v and give d.\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/22800061 and 36\/3931045.\nAnswer: 114000305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-3)\/((-3)\/2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*z - 2. Let d = -904 - -906. Let q = 3 + 2. Solve -d - z = q*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 120 - -185. What are the prime factors of d?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*n - 2*n + m - 3 - 2 = 0, -12*n + 1702*m = 1703*m + 86 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.123158 rounded to 2 dps?\nAnswer: 356.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-8)*6 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 308, 421, 510, 563, 568, 513, 386?\n\"Answer: -2*w**3 + 127*w + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*d - 18*d + 7*d - 22*d**2 - 5 + 282*d**4 + 16*d**2 + 8*d**2 wrt d.\nAnswer: 3384*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (84\/(-18))\/(1\/(-3)). Let x = -7 + 1. What is the common denominator of -13\/4 and 1 - m*x\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*s**5 + 1041*s**4 + 59*s + 1014.\nAnswer: 2120*s**3 + 12492*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 16*s**2 + 173*s + 55. Give c(-23).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-192) - 199675\/(-6). What is l rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-4))\/(4\/12). Is -9*(0 - 30\/r) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8927*f**2 - 8931*f**2 - 1196*f**3 + 17858*f**2.\nAnswer: -1196*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 1. Let z(f) be the third derivative of 11*f**4\/24 - 2*f**3\/3 - 4*f**2. Let m(i) = -17*d(i) - 6*z(i). Calculate m(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -11*p**2 - 6*p - 3. Let d(f) = 32*f**2 + 18*f + 8. Let w(c) = -3*d(c) - 8*o(c). What is the second derivative of w(y) wrt y?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 8*s - s + 1 - 5. Let l be y(3). Solve l = 3*a + 4*d, -6*d - 4 = -3*a - 2*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/20 - 2*i**2. Let h(c) be the second derivative of -1\/12*c**4 + c + 0*c**2 + 0*c**3 + 0. Determine h(k(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 939 - 933. Find the third derivative of -360796*f**5 + 360796*f**5 - 319*f**r - 44*f**2 wrt f.\nAnswer: -38280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*h + 13344, 152*h + 5*d = 148*h + 13304. Is h <= 3330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2230820572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 0 + 60*u + 6 - 10 + 5.\nAnswer: 60*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 - 2*c**3)*(c + 2*c + 5*c).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*j + 47, -21 = -2*r - 3*j + 44. Which is smaller: 88\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33700 divided by -16850?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -5. Suppose 0 = 8*x - 7*x - k. Suppose 0 = -4*u + 166 - 10. Calculate the remainder when u is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 1)*(-3*m**2 + m**2 - 2*m**2)*(-6*m**2 + 9*m**2 + 25*m**2) as u*m**4 + y*m + j + p*m**2 + t*m**3 and give u.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 258508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -102625*a**3*g**3 - 8*a**2*g - 4037*a*g**3 wrt a?\nAnswer: -615750*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/2 (b) 207707 (c) -0.06 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473273962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**4 + 340*k**3 - 4*k**2 - 39707 with respect to k.\nAnswer: -12*k**3 + 1020*k**2 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/1420 + 28473\/103660. Is 0 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(4\/(-120)*-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 1. Let i(j) be the first derivative of 8*j**3\/3 - j**2\/2 + 5*j + 11. Calculate 6*f(x) - i(x).\nAnswer: -2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-28)\/(-12))\/(150\/(-117)) and 79\/22?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 29*l + 152, -4*l = 7608*h - 7606*h + 38 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7266 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4 = 4*y, 0 = l + 3*y - 1 - 2. Suppose -15*f + 1806 + 804 = l. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -44. Let f = 134 - g. Factor 9*p**2 - 49 - 46 + f*p + 3*p**3 + 98.\nAnswer: 3*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000212503 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 - 25*o + 66. Let p be x(3). Solve -h = -s + 5*s - p, 5*s + 4*h - 3 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 731053432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19890934, 39781867, 59672800, 79563733?\n\"Answer: 19890933*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 14 - (1 - (7 - 10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 109681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/14)\/(2 - 142\/72). Sort -5, -4, w.\nAnswer: w, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*m + 0 + 7 = 0, 3*q - 2*m = 13. Suppose -13 + 1 = q*a. Let b be ((-6)\/4)\/((-2)\/(-4)). Put b, -5, a in decreasing order.\nAnswer: b, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*b - 21 = -25, 2*k = -2*b + 4. Suppose -3036 = -4*w - 2*y, -w - k*y = -268 - 497. What are the prime factors of w?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*y = 3*y + 40 - 26, -4*y = -6*x - 106 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtj when three letters picked without replacement from jnntjgtpjjtjjpnntpy.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.1 (c) 2 (d) 0.4 (e) 6\/3239\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d + 4*g, -4*g + 5*g + 1 = 0. Suppose 14 = -d*y + 5*y. Suppose -1725562 = -y*l + 157438. Round l to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8032607 less than or equal to 8032608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**2 - 4*w - 5. Let q(i) = 5*i**2 + 5*i + 6. Let y(r) = 15*r**2 + 16*r + 19. Let z(o) = 7*q(o) - 2*y(o). Determine 5*l(a) + 6*z(a).\nAnswer: 10*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/268 and 56\/11?\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172462 - -172468. Suppose 20 + 40 = i. What is the lowest common multiple of i and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 130 in 4, 90, 19.5?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -136.3 - -136.3626. What is g rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 2457.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a + -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 322178, 322172, 322170, 322172, 322178, 322188, 322202?\nAnswer: 322220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 298346 at least 298346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/3)\/((-2)\/(-6)). Suppose 0 = -2*r - 3*r - z*g + 10, 0 = r + 4*g - 2. Find the second derivative of -3*c + 5*c + 3*c**2 - 2*c**r wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + (33 - 49) + 43.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433299 is divided by 2832.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.404 + -4.3. What is j rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 3*k**3 - 14*k**2 + 0 + 0*k**5 - k + 0*k**4 + 1\/30*k**6 + 11\/210*k**7. What is the derivative of d(u) wrt u?\nAnswer: 44*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 55\/(-4) + (-6)\/(-8). Let x = -9 - y. Suppose -g - 42 = -x*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 73 - (-5 + 4). Suppose 0 = 14*p - r + 4. Suppose -4*n - p*v = -1, -4*v + 2 = 2*n + 6. Solve n*m - 4 = 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025822673 to six decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s - 52 = -5*v, v - 5*s = -4. Suppose 2*h = h - 3*a - v, 2*a + 10 = 0. Sort h, -1\/6, 0.3.\nAnswer: -1\/6, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 326*b**2 + 64*b - 8. Let k(g) = -324*g**2 - 65*g + 10. Let y(w) = -6*j(w) - 5*k(w). Find the second derivative of y(h) wrt h.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 569*m*o**2 + 3*m*o - 31*m + 86434*o**2 wrt m?\nAnswer: 569*o**2 + 3*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*3\/18*-3. What is l rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = d, -1114*a + d + 10 = -2237*a + 1119*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 149.263?\nAnswer: 74.6315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*a**3*h**2*r + a**3*h**2*z - 11*a**3*r - 2*a**2*h**2*z - 8*a*h**2*r*z - 2*a*h**2 + 38*h**2*z wrt a.\nAnswer: 132*h**2*r + 6*h**2*z - 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 6*v + 35. Let k be t(3). Suppose -k*h + 1936 = -3576. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474374 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -38.95118*5\nAnswer: -194.7559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 63040\nAnswer: 315200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/4 - (-1)\/1. What is the common denominator of -2 + -1 + r\/(-24) and 19\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 2*j. Let y(z) = 3*z**2 + 9*z. Suppose -25 + 29 = x. Calculate x*y(i) - 18*o(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 + 2095 - 2095 - 2*g**2 + 0*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -350 + 709. Suppose i = -2*g - 109641. What is g rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b348 (base 13) in base 5?\nAnswer: 31100342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*q + 30, -6 - 12 = -k + 5*q. Put 1, -5, k, 25 in decreasing order.\nAnswer: 25, k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 5*u**2 - 15*u + 8. Let m be y(7). Which is the fourth biggest value? (a) m (b) 1\/3 (c) 0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 295 + 548. Let o = -238 + w. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c**6*c)*c*c\/c**(-4\/7)*c**(2\/21)*(c*c*c**(5\/4))\/c)**(-49) assuming c is positive.\nAnswer: c**(-539\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = 8, -w + 3*n = -1. Suppose -w = g - 252. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2 (c) -2\/3 (d) 5 (e) -4628\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 45543?\nAnswer: 91086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.172 and 0.1.\nAnswer: -0.0172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 26. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -4 + 10 + -14 + 3 + -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1598561 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 3*w**2 - 12*w**2 - 2*w**2.\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 6*g + 5. Let b be ((-14)\/(-10) - 1) + (-13978)\/145. Let n = 102 + b. Suppose -s + n = 11. What is o(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -18. Let s = -16 + m. Let l = -157\/350 + 1\/50. What is the closest to s in l, 4, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 times -36\nAnswer: 1.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/1260*-21*10\/18.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 267786 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -2\/9, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 251*o + 395. What is the thousands digit of y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 42*o + 12. Let w(n) = -n + 3. Give -g(q) + 5*w(q).\nAnswer: -47*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 471.9 - 472. Let s = 241\/3 + -81. Which is the third biggest value? (a) t (b) s (c) -0.3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*b**3 - 7391*b**2 + 101*b - 7270 wrt b.\nAnswer: -852*b - 14782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhyzyzzyszhz. Give prob of picking 1 s and 1 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 0.5 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 less than 215702?\nAnswer: 215702.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 1. Let z(w) = -2*w - 2. Let l(q) = -3*b(q) + 2*z(q). Let h = 20 + -10. Let u = h - 4. What is l(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68848253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2666*q - 3521*q + 6165*q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-2)\/(-50)*810\/189?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 - 4*c**2 + 4*c**2 - 4*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 15*c**3 - 25*c + 42*c**3 - 9*c**3 - 11*c**3 to the form p*c**2 + j*c + u + o*c**3 and give j.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*p - 797 = -126*p - d, 597 = 4*p - 5*d. Calculate the remainder when 3628 is divided by p.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 20*m - 12. Let b be w(-17). Let j be (-26)\/b - (-8)\/(-6). Which is greater: j or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 89384060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*o**5 - 9*o**4 - 10*o**2 - 11 wrt o.\nAnswer: 12660*o**2 - 216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 138 - 108. Calculate the lowest common multiple of q and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.1 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**5\/5 + 1021*b**4\/5 + 7089*b**3\/5 - 9189*b**2\/5 - 63882*b\/5 = 0.\nAnswer: -1014, -7, -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -737.5 + 727. Let c = -6.5 - u. Let j = 869\/8 - 109. Put j, 1\/3, c in decreasing order.\nAnswer: c, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 6. Let q = -63 + 63. Let t be b(q). Suppose 0 = o - 2*o, 0 = -2*x - o + 10. Solve -x*w = -2*w - t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*d + 17*d - 130 = 0. Let i(a) = -3*a**3 - 8*a**2 - 5*a + 21. Is i(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8750, -26782, -75724, -171032, -328162?\nAnswer: -562570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*g + 3348 = 266*g. What is the least common multiple of g and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/15 + 4*p**2. Let i(v) = v. Calculate y(i(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -58, 3, -15, -26, -5 in ascending order.\nAnswer: -58, -26, -15, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 16*w - 38 = 12*w, 3*w = 3*o + 7*w - 46 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-4))\/(11\/44). Let i(u) = -u - 11. Let q be i(b). Let p = 3 + 2. Sort -2, q, p in decreasing order.\nAnswer: p, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113 + 296a?\nAnswer: 2a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 12. Suppose 0 = j - b - 0*b - 3, 3*j - 9 = 4*b. Suppose j*v + 77 - 104 = 0. Sort v, m, -4, 0.\nAnswer: -4, 0, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 36 = -8*o - 12, -j - 3 = -o. Solve z + 5*m = 21, -3*z + j*m - 27 = -3*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291 (base 12) in base 11?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-160)\/6*9\/2. Let j = -1983 - -1885. Let l = j - m. What is the greatest common divisor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 192?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 + 27bc?\nAnswer: 2796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cetacerceeaeeectec. Give prob of sequence arce.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.269 + -0.169. Let r = -10 - -10. Let t = 0.2 + -0.4. Which is the closest to q? (a) 2 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9813164663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23d77a (base 16) to base 4.\nAnswer: -20331131322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(3 + -1) - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/((-5 - -2)\/3). Put b, -4, 0 in decreasing order.\nAnswer: b, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6260 is divided by 892?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 27*u + 19. Let g be q(-2). Let i be (3\/5 - (-21)\/g)\/(-2). Solve 4*x - 5*l - 16 = -i*x, 4*l + 20 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 48 = 0. Suppose -4*y + h = -0. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 17*g - 2. Let w(h) = 23*h - 2. Let m(r) = 5*p(r) - 4*w(r). Give m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -1\/2*s**6 + 0*s - 64 - 12*s**2 + 0*s**3 + 0*s**4 - 7\/5*s**5. Find the second derivative of u(b) wrt b.\nAnswer: -60*b**3 - 84*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334859.\nAnswer: 3, 444953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*l - 6, -2*l + 5*d = -l - 19. What is the lowest common multiple of 6 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4797586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 3*t + 2*t + 4*t - 2*t.\nAnswer: t - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151791837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -7, 7\/144, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41\/5 or 9?\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401696, 1606647, 3614856, 6426323, 10041048?\nAnswer: 14459031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-208)\/(-65))\/((-2)\/(-15)). Solve 0 = -8*p + 5*p + 3*m - c, 2*p + 25 = 5*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 - -38. Suppose h = -5*n + 895 + 970. Let i = n - 199. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:04 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2693326456.\nAnswer: 2, 17, 19, 1042309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3355824 and 96036.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*z)*(-2*z + 0*z + 0*z) + 1232*z**2 - 10740*z**2 + z - 3611*z**2 - 14891*z**2.\nAnswer: -28006*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/w*w*w\/w**(1\/7)*w)\/((w**(-10\/9)\/w)\/w*w**(-21)) assuming w is positive.\nAnswer: w**(1447\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -4*l - 181. Is (-16)\/(-32) + l\/(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 69.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3816*c**5*l**2 + c**2 + 30182*c*l**2 wrt c.\nAnswer: 228960*c**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc9 (base 16) to base 7.\nAnswer: 13201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*y + y - 28, 0 = 4*j + y - 49. Suppose 0 = -j*h + 24*h - 2340. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 1296?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 112003405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 29*f + 7. Let o(k) = -2*k**2 + k**2 + 4357*k - 3 - 1 + 2 - 4367*k. What is -7*o(c) - 2*w(c)?\nAnswer: c**2 + 12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 21 - 22*j**2 - 46 + 45*j - 5*j**3 + 7*j**2 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 71)*(-2)\/4 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82045711 to the power of 1\/2, to the nearest integer?\nAnswer: 9058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/44)\/((-98)\/(-462))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8933?\nAnswer: 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 586783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 4*y - 6. Let t be i(-3). Let c(k) = -k**2 - 2*k - 1. What is c(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 83771?\nAnswer: 8377.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1080 + 545 - 2*s + 535. Let g(r) = 1968*r**2. What is b(g(f))?\nAnswer: -3936*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 359*z - 3041. What is d(9)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-5816)\/10 - (-100)\/(-250). Is -584 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*a + a - 5*b, -2*a - 17 = 5*b. Factor -4*n**3 - a*n**2 + 3*n**2 + n**4 + 3*n**3 - n**5 + 2*n**5.\nAnswer: n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -1)\/((-3)\/(-192)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 1:32 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13\/3428 (b) 3\/4 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 42*i**2. Let m(c) = -51368*c**2. Give l(m(x)).\nAnswer: 110824199808*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-6)*(-120)\/(-140). Let t be (7\/(-49))\/(w\/(-14)). Let p = -0.09 + 0.18. Which is the fourth smallest value? (a) p (b) -2 (c) t (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-4))\/(10116\/672 - 15). Calculate the greatest common divisor of s and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103742791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 11.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 430*k + 8. Let u be i(2). Suppose m - 8*m = -u. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3234, 1.7, 23\/10?\nAnswer: 3234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 2 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -687 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfqobbbloob. What is prob of picking 1 o and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 84*g**3 + 5.\nAnswer: 84*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1304.641202 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46741 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 39316590?\nAnswer: 39316590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319 + -2 + (2 - -1 - 9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 8*t**2 - 6*t + 36. Determine l(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k - 31. Let v(u) = -u. Let z(w) = -t(w) - 4*v(w). Let j be z(18). Solve 0 = -3*x - 3*p + 3, -p + 0 + j = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6 - 28420\/9. Let o = -3162 - j. Find the common denominator of (-36)\/160*-29 - (-2)\/(-5) and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -2*s + 2. 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 third biggest value? (a) 2\/11 (b) 0.04492 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47498201323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6260 is divided by 6250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 1:21 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(56)\/(sqrt(8)\/sqrt(2)))\/sqrt(2))**2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h\/(h**(1\/19)\/h*h))*h\/h**16)**(2\/99) assuming h is positive.\nAnswer: h**(-164\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -272 - 346*k**2 + 2*k + 476 + 432 wrt k?\nAnswer: -692*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/20 - i**4\/12 + i**3\/6 + 2*i**2. Let u be b(1). Suppose 0 = -u*f - 5 - 5. What is f rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/2)\/((-162)\/(-642)) and (-2)\/(-7)*72\/32.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -21. Let b = k - 16. Suppose 0 = a - b*p - 17, p + p = -3*a + 51. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21602 divided by -19.\nAnswer: 21602\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14)\/(((-216)\/(-84))\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = 2*s, -3*s - 3*o + 17 = 2*s. What are the prime factors of 54\/(s\/22 + 21\/308)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, v: 2, p: 4, o: 2, z: 1, r: 4}. What is prob of sequence iorr?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (329872\/(-16800))\/53 + (-620)\/(-1736).\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -15 + 58*n**2 + 32*n + 14 - 30*n - 10*n**2. Calculate f(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-3 + (-14)\/(-4)). Suppose -4*i + 4*m - u*m = -10, 0 = -5*i + 2*m + 10. Solve -4*r - 2 - 10 = i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18468, -73864, -166194, -295458, -461656, -664788?\n\"Answer: -18467*m**2 + 5*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2 - 2 + z**2 + z**2 + 0*z**2 + (-6*z + 4*z + 0*z)*(0*z + 0*z - z) + 0*z**2 + 2*z**2 - z**2 + 0*z**2 + 2*z**2 + 0*z**2)*(103 - 103 + 40*z).\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 19*v - 104. Let x be h(9). Let q = 50 + 242. Suppose -3*t - x = -q. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:35 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 20132104?\nAnswer: 20132101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/199 > -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - 13. Let h(j) = 20*j - 98. Let r be h(5). Let c be x\/28 + r\/4. Sort 5, -1, c in ascending order.\nAnswer: c, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -46.92. Let d = 31.18 - h. Let k = d + -33. What is the second smallest value in k, 5, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 643*-0.24627\nAnswer: -158.35161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25071813.2 rounded to the nearest 10000?\nAnswer: 25070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 595, 1163, 1727, 2287, 2843?\n\"Answer: -2*m**2 + 574*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3254756 and 149.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*p + 8, -4*l = p - 48. Let a(q) = q + 4. Let g be a(-2). Suppose g*n + 425 = 3*h, 4*n + n = 10. What is the greatest common divisor of h and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 25 (b) -0.18 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = z - 20, -2*i - 30 = -4*i - 4*z. Let p(u) = 8 + i*u - 1 + 23*u**2 - 24*u**2. Suppose 3*a - 13 = 2*k - 3*k, 2*a = k + 12. What is p(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 439 + -438. Let t(u) = -u + 1. Let f(l) = l - 7. Give c*f(q) + 6*t(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2789, -1210, -0.2, -3, 4\/9 in descending order.\nAnswer: 4\/9, -0.2, -3, -1210, -2789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 334680970 rounded to the nearest one million?\nAnswer: 335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12824 divided by -3206?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88\/7 in -2, -10\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7 - 58 = 0. Let f be 2\/(-5) - (-18)\/(-5). Let c = l + f. What is the remainder when 35 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 51. Determine z(21).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5302565742 by -6.\nAnswer: -883760957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3396 and 18407452?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 70003032?\nAnswer: -28001212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r**2 + 3*r - 3. What is u(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36102304 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112089 is divided by 8497.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:07 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 2\/3, 1\/422, 19 in decreasing order.\nAnswer: 19, 2\/3, 1\/422, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -243958*f**4 - 13382046*f wrt f.\nAnswer: -2927496*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 33*p**2 + 93*p - 230. Give a(30).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -4. Suppose -p + d = -2*z - 5*p, 4*p = -z - 16. Let q = z - -1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -27. Suppose 7*p - 252 = c*p. Suppose 2*a - 117 - p = 0. Calculate the greatest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11712 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4745 and 93925.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.267, -3\/2, -5, 9, 2, 1\/2 in decreasing order.\nAnswer: 9, 2, 1\/2, -1.267, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1591926 divided by -9149\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 19. Suppose -19 - 6 = -5*d. What is the remainder when k is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 - 1347*b**2\/2 - 2685*b\/2 - 1341\/2.\nAnswer: -3*(b + 1)**2*(b + 447)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 3, 172, 434, -2.\nAnswer: -122, -2, 3, 172, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -77 (b) -5 (c) 1\/2 (d) -22 (e) 89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*w + 142*w - 6 = 289*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -554300 rounded to the nearest 10000?\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, -1, -4, 3, -88 in decreasing order.\nAnswer: 3, -1, -4, -82, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 5, -5, -0.1, -33, 0.5 in ascending order.\nAnswer: -33, -5, -0.1, 0.5, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a + 65*a + 24 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5 + 2*z - 2*z + 6 - z. Let d be h(8). Solve 5*j + 22 = p, d*j + 4*p + 0 + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 1 + 0*z**4 + 1 + (z**2 - 5*z**2 + 2*z**2)*(2*z**2 + z**2 + 6*z**2).\nAnswer: -14*z**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 56. Let a be 2\/(-6) + y\/60. Let n = 2103\/11 - 191. What is the closest to -1 in a, n, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14169 is divided by 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 760.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 25 + 3*a**2 - 22 - 20.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5*-90\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Let n(d) = 321*d**2 + 15. Let s(b) = -46*b**2 - 2. Let y(m) = -2*n(m) - 15*s(m). What is h(y(r))?\nAnswer: -4608*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*n + n + 8 = 0, -3*n = -12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 + 4. Let a be (-192)\/30 - -4*2\/20. Let i be c(a). Solve -i + 2 = m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 17*y. Let r be f(17). Let a be (-4)\/6 - (-3)\/(-9). Sort r, a, -5 in ascending order.\nAnswer: -5, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8*d - 14 = 0. Suppose -8*b = d*b - 80. What is the remainder when 13 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 11860935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5776 - -5781. Determine i so that 0 - i**2 - 99\/4*i**x - 141\/4*i**4 - 14*i**3 + 0*i = 0.\nAnswer: -2\/3, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - t + 697, 304*t = 3*o + 308*t - 2095. Calculate the smallest common multiple of o and 891.\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/404820 and -77\/1248.\nAnswer: 3238560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3137946*g**4 + 555203*g.\nAnswer: -37655352*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r - 4. Let q be r - -4 - 0 - 0. Let c(v) = 2 + q*v - 2. Let i(s) = 3*s. Determine i(c(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378*w + 1656.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 815150 and 10247600?\nAnswer: 71733200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1)*o)*o*o**(-1\/10)*(o**(2\/7))**(2\/15))**50 assuming o is positive.\nAnswer: o**(2035\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 46588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 9 - n**2 + 24 + 2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -137, -479, -1039, -1811, -2789, -3967, -5339, -6899?\n\"Answer: j**3 - 115*j**2 - 4*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6 + 6\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 9*a**2 - 10*a - 16. Let r be o(10). What is the tens digit of 12\/r + 2123\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.024553 + -0.051532. What is v rounded to 3 dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 282140 + 2*h**3 - 282136 - h**2 + 3*h**3 + h + 0*h**3 in the form g*h**3 + w + j*h**2 + m*h and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1040 and 10.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -883*o**2 - 884*o**2 - 888*o**2 - 882*o**2 + 4430*o**2 - 890*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6957 - -6960. Let n = -8 + 16. Solve -b - b = i*z + 19, -2*z + b = n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 8*g**2 + 4*g + 7. Let z be s(-8). Let j = z - -40. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) - 732\/(-30). Let k = y - 28. Let v(c) = 5*c**2 + 3*c - 3. Is v(k) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 379*x**4\/6 + 37*x**3 + x**2\/2 - 3944*x. Find the second derivative of s(c) wrt c.\nAnswer: 1516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355252642 and 514.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q + 2. Let k be w(-2). Calculate the highest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*d**4 + 240472*d**2 + 53089372 wrt d.\nAnswer: -364*d**3 + 480944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 445, 890, 1335, 1780?\n\"Answer: 445*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.62256 to two dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11668*l**3 - 5033*l**3 - 5529*l**3.\nAnswer: 1106*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)*o*o\/(o\/(o\/o**(9\/7)))*o)**(1\/36))**(-21) assuming o is positive.\nAnswer: o**(-23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 4. Let i be o(-3). Suppose 0 = -2*c - 5*z + 6 - i, -c + 2*z - 11 = 0. Let w = 2 + c. Is w not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -8\/13789 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -3 (c) 0.4 (d) 77 (e) 0.04858\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717670652?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4474.\nAnswer: 2\/2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1010367631 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287634*w**5 + w**3 + 176*w**2 - 174*w wrt w?\nAnswer: -17258040*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84844.2 - 84844. Let w = 62 + -61.961. Which is the biggest value? (a) w (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Let w(b) = b**2 - 6*b + 5. Let l be w(f). Solve 17 = -l*q - q + 5*j, -2*q - 4*j + 22 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h\/(h**3*h))))**(5\/17))**(-43) assuming h is positive.\nAnswer: h**(430\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 3030*q**2 - 21015*q - 29950.\nAnswer: -5*(q + 2)*(q + 5)*(q + 599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {i: 1, x: 2, w: 1, b: 4, n: 2, r: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479613.\nAnswer: 3, 159871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230491487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 + 3*a. Let c(r) be the third derivative of 3*r**5\/20 - r**2. Calculate c(q(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/270*(-190)\/8.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 2*d)*(3 - 4 - 11).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*u**3 - 2*u**3 + 4*u**3)*(1 + 2*u + 0 - 4) to the form k*u**2 + i*u**4 + q*u**3 + h*u + g and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let i(a) = 2521*a**2 + 2911. Give s(i(u)).\nAnswer: -2521*u**2 - 2911","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-13)\/(-6) + -2). Let d be (v\/(-45))\/((-1)\/3). Let g be ((-14)\/(-196))\/((-1)\/(-4)). What is the closest to d in -5, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121093 is divided by 30218?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**3 + 11*q**2 + 14*q - 3. Let r(i) = 2*i**3 - 4*i**2 - 5*i + 1. Let b = -12 - -1. Give b*r(y) - 4*l(y).\nAnswer: 2*y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 526 divide 228989892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjp when three letters picked without replacement from {p: 1, j: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 28 = -5*o + 4, -3*m = 4*o - 38. Solve -2*j = 3*s + 17, 0 = -3*j + o*j + 5*s + 30 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t - t - 4 - 2*t**3 - 2 + t**2 + 4 to the form w + x*t**2 + n*t**3 + l*t and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -295, -652, -1025, -1420, -1843, -2300, -2797?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, i: 1, v: 1, l: 2, x: 2}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 324575634 to the nearest integer?\nAnswer: 18016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748*o**3 + 1 + 0 + 745*o**3.\nAnswer: -3*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25335*u**3*x + 412*u**2*x**2 - 2486799*x**2 - 10 wrt u.\nAnswer: -76005*u**2*x + 824*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 29 + -47 + -2 + 2 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 6 - -24 - -5) + -19 - 103?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - d - 1 - d + 2*d + d + (2 - 2 - 2*d)*(3 - 3 - 2) - 1 + 1 + d + 2 - 2 + 2*d + 2*d - d - 6*d - 109 - 5*d + 3*d + 128.\nAnswer: d + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/3 + 12\/3 + -1. Suppose 5*f = -0*f + 3*k + 2523, -4*k - 1012 = -y*f. Suppose 4*d + 2*d - f = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 53*u**2 + 2. Let a be c(1). Let v = -39 + a. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -22*g + 15*g. Suppose 0 = -2*z + g*d + 143, -5*z + 4*d + 369 = 8*d. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 6, 4, 4, 6, 10, 16?\n\"Answer: t**2 - 7*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 18*t**2 + t - 25. Let n = 6897 + -6879. What is p(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 3, k: 3}. Give prob of sequence xfk.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 10:05 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**5 - 2*l + 2*l + 114*l**3 - 51*l**3 + 35*l**3 - l**5 + (2*l**4 - 3*l + 3*l)*(6*l - 1 + 1).\nAnswer: 7*l**5 + 98*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-4)\/w)\/w)\/w)\/w**(-2))**(-10)*(w*w\/(w\/((w*w**(-2\/3)*w)\/w)))**(19\/5)\/((w*w*w**(-2\/7)\/w)\/w**(1\/2)) assuming w is positive.\nAnswer: w**(11519\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c**4\/8 + 1689*c**3\/8 + 4149*c**2\/8 - 993*c\/8 - 2415\/4 = 0. What is c?\nAnswer: -2, -7\/5, 1, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 67*l**2 + 28*l + 14. Is t(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.94? (a) -12.1 (b) 2\/7 (c) 2\/11 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4620735*p**2. Let c(u) = 6*u**2. Determine c(o(z)).\nAnswer: 128107151641350*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3438, -3442, -3448, -3456, -3466?\nAnswer: -3478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5 - 3. Suppose -15 = -t*m - 3*m. What is the third derivative of i**4 + 0*i**4 - i**2 + 0*i**m + 0*i**3 wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 3)*((3 + 1 - 5)*(7 - 2 - 3) - 4 + 6 - 1)*(1552*i + 1588*i**3 - 1552*i) as s + o*i + u*i**3 + m*i**2 and give u.\nAnswer: 3176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27704, -110875, -249502, -443591, -693148, -998179, -1358690?\n\"Answer: -l**3 - 27722*l**2 + 2*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w**2 + 6*w + 6. Let s(q) = 6*q**2 - 5*q - 5. Let y(p) = 5*g(p) + 6*s(p). Let a(t) = 10*t**2. Give a(y(j)).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 166 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 3*r)*(0 - 2 + 3) - 2*r + 0*r - r + 2*r + 0*r - r + (-3 + 2 + 3)*(-3*r - r + 5*r) - 4*r - 2*r + 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 10407*b**3 + 5 - 6481*b**3.\nAnswer: -16888*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7))**(2\/25)\/(q**(-2\/31)\/((((q*q*q*q\/q**14)\/q)\/q*q)\/q*q*q)) assuming q is positive.\nAnswer: q**(-53714\/5425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + (-7 - (3 - 10)) + -90 + 95?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 236*y - 235*y - 3*n, 2*n = 3*y - 43. Solve -s - y = -6 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.59 + -0.09. Let z = f + 0.5. What is the smallest value in 0.4, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 + 21. Let v(q) = -4*q**2 + 12. Let w(l) = 4*k(l) - 7*v(l). Let g(z) = 1185*z**2. Determine w(g(u)).\nAnswer: -5616900*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-22) - 1) + 11556324\/271623?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273106 and 4446.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - 7. Let j = 4.3 + v. What is the third biggest value in 3\/7, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*2)))*3)\/sqrt(9))\/(-6*sqrt(16) + (sqrt(4) - (sqrt(4) - (sqrt(4) + sqrt(4) + (sqrt(64) - sqrt(4))))*-6)).\nAnswer: -9*sqrt(2)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 322, 105, -274, -827, -1566, -2503, -3650, -5019?\nAnswer: -6622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-10) - 3\/(-15). Suppose -d + r = -1. What is the greatest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 + 3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/22 + (4 - (-324)\/(-88)). What is the nearest to 3 in 3\/7, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/2, -22 in increasing order.\nAnswer: -22, -6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6 + 90\/20. Let w be 0*((-35)\/10 + v). Solve w = 3*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 84507482*b**3 - 356092898.\nAnswer: 253522446*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 144 = 183. Let h(t) be the first derivative of -11*t**2\/2 + 13*t - 1. Let q(b) = -12*b + 6*b + 111 - 223 + 11*b + 106. What is f*q(j) - 6*h(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -1 + 1\/2*n**2 + 0*n. Let j(o) = -89*o**2 + 1640*o - 542*o - 367*o - 364*o - 367*o. Give z(j(h)).\nAnswer: -89*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bb - 15c0?\nAnswer: -189b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1172094\/5 - -233686. Let v = 726 + w. What is the common denominator of (8\/290)\/((-1)\/(-40)) and v?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*i - m, -6*i + 3*m - 22 = -11*i. What is the closest to 4 in -3\/4, i, -4, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 2 (c) -4 (d) 640\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 8 - 7)*(3*k**2 + k**4 - 3*k**2)*(-2 + 35 + 28)*(3 + 0 - 2) in the form n*k**4 + f + t*k + u*k**3 + z*k**2 and give n.\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + (-6 - -20 - 11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.285 * -122\nAnswer: 34.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 742*d**5\/9 + 8158*d**4\/9 + 10868*d**3\/3 + 56216*d**2\/9 + 35312*d\/9 - 64\/3 = 0. What is d?\nAnswer: -4, -3, -2, 2\/371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 9*j**2 + 6*j + 3. What are the prime factors of g(-8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2*p - 3*p)*(-36 + 41 - p**2 - 3*p**2).\nAnswer: 16*p**3 - 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 5*u - 6. Let r be b(3). Suppose 4*q - 5*q + 8 = r. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 - -78. Let m(p) be the second derivative of p - 1\/21*p**4 + i + 0*p**2 - 3\/70*p**5 + 1\/21*p**3. What is c in m(c) = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 933 (b) -1.9 (c) -5 (d) 309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -78 in 3, 0.3, 1, -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2140 and 1712.\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 16 = -3*u + 5, -u - 4*b = -7. Let h be (-3)\/3*(-1 - 14). Let x = u + h. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 5*m. Let r be 11 - (-7)\/((-7)\/3). Suppose 11*n - 15*n = r. Let d(h) = -h**3 - 2*h. What is n*j(w) - 5*d(w)?\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43936?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 19 - -19) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 2 - (-2 + 2 - (20 - 22)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 257 + -3857\/15. Let l = z - -23\/60. Suppose 2*b**2 - 4*b**3 + l + 7\/4*b = 0. What is b?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-1)*j\/j**0*(j**(-1\/2)*j)\/(j\/((j\/j**(-2\/17))\/j*j)) assuming j is positive.\nAnswer: j**(55\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9703*k + 97046. Determine l(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(595\/224))\/(56\/(-70))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/23, 4, 0.7, -2.\nAnswer: -2, 2\/23, 0.7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 16 + (-8)\/(-4)*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(54\/12)\/9.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -974551.\nAnswer: -87709.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24798 + -24803. Suppose -u = -3*u + 6. Sort y, u, 30.\nAnswer: y, u, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-14) + (-611)\/(-2) + 0. Let p = k + -201. Calculate the highest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/1105843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47793 - -74102. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -3, 13, 37, 69, 109, 157?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.2. Let i = -0.1 + -0.4. Let g = -0.46 + -2.54. Which is the third biggest value? (a) i (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**11*b**(-1\/18))**(-3\/8) assuming b is positive.\nAnswer: b**(-197\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-1) - (-2 + 25\/5). Suppose -3*b - g + 32 = 0, -b + g = o*g - 7. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8001 - 3*s**2 - 102830*s + 102830*s.\nAnswer: -3*s**2 - 8001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50801023 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 4. Let y(t) = -t + 0*t + 1 + 0*t. Let n be y(-2). What is the units digit of h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 12*v - 96, -4*v + 37 = 121*i - 118*i for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80225339 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 + 2*b**2 - 4*b**3 - 2*b - 6*b**2 - 9*b**3 + 10*b**2 - 2 in the form j*b + x + z*b**2 + y*b**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -37*w**2 + w. Let h(b) = -1125*b**2. Determine j(h(z)).\nAnswer: -46828125*z**4 - 1125*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/16 and 93\/19306478.\nAnswer: 154451824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6824725?\nAnswer: 5, 272989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2403\/32841*(-4)\/(-6).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23654 - -0.23682989. Round z to five dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i\/i**(6\/11)*i))\/i)*i\/((i\/i**(-1\/10))\/i))\/(i**1*i*i**(-6)))\/((i**2\/i)\/i**(1\/7)*i\/i**(-2\/19)*i**(1\/5)\/i) assuming i is positive.\nAnswer: i**(90591\/14630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 32\/6695, -4\/167 in ascending order.\nAnswer: -0.5, -4\/167, 32\/6695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36207 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + z**2. Suppose 10 = -4*o - o. Suppose 2 + 6 = -8*v. Let h(j) = -4*j**2 - 2. Calculate o*r(x) + v*h(x).\nAnswer: -2*x**3 + 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 646159 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1257*i + 54 = -1263*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 36830 = 776830. What is n rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-2))\/4 + 27\/9. Let b(m) = -m. Let y(a) = 55*a. Let h(t) = -44*b(t) - y(t). Let f(v) = -17*v. Let d(w) = -5*f(w) + 8*h(w). What is d(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -57*b + 1576449000. Round b to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 9816*(-26)\/(-9048).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-42))\/((-93)\/434)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12372 + 49491\/4. Which is the biggest value? (a) 1 (b) -5 (c) z (d) 780\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -59. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q + 13. Suppose 0 = 95*f - 92*f - 5*c - 41, -5*f = 2*c - 27. Let j(r) = 3*r + 7. Determine f*j(w) - 4*k(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1528 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12811954 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089*w**3\/5 + 359799*w**2\/5 + 30597931*w\/5 + 28826161 = 0. Calculate w.\nAnswer: -5369\/33, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012121211122220 - 0?\nAnswer: 2012121211122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/400368 and 7\/667280.\nAnswer: 2001840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 5 (b) 7 (c) 808034\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knn when three letters picked without replacement from nnnnnkpnpnknn?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 2\/5, -12\/5, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -744.9877 - -745. Let u = -0.0143 + j. What is u rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-2)\/120*-5)\/(-1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25614322 is divided by 566.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 1:33 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Let l be -8*(-4)\/(-16)*1*-6. Calculate the greatest common divisor of l and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 times -672\nAnswer: 26208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2 = 4*d, 3*a + 5*d = -a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 6*t - 24. Let f be (-176)\/(-24) - 4\/t. Is f != 35\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3196*d - 3 + 3250*d - 4*d + 5*d - 3*d + (-1 - 1 - 2)*(3*d - 4*d + 2*d).\nAnswer: 48*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5 = 5*k - 11, 4*f + 2*k = 22. Suppose 3*n - 9 = -6. What is the derivative of n + 7*m + 4*m**3 - 4*m - f*m wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**4 + 7*b**3 - 9*b**2 - 7. Let f(m) = -2*m**4 + 4*m**3 - 4*m**2 - 4. Let z(a) = 7*f(a) - 4*s(a). Find the third derivative of z(y) wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 2*l + 4. Let u = 2 + -5. Suppose 1 + 1 = k. What is the remainder when p(u) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 111*i**2 + 212*i - 204. Determine g(109).\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 1\/3*h**3 + 0*h + 1\/24*h**4 + 1\/120*h**6 + 4*h**2 - 1\/20*h**5 + 0. Give b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - ((-630)\/(-147) - 4). Which is greater: k or -2\/925?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g + 372*g = 22511 + 22521. Solve -68*s - g = -55*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-28)*((-5)\/(-30))\/1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13211748 and 86946?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) + 1 - 35. Let x = t + 83. What is the remainder when 101 is divided by x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**5\/19 - 56*l**4\/19 - 784*l**3\/19 + 704*l**2\/19 + 8224*l\/19 - 640 = 0.\nAnswer: -10, -4, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -999 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55 - -79. Let s be ((-76)\/b)\/(-1) + -4. What is the closest to -0.2 in 1\/6, 3, s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 120415702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) 3 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2863, 2864, 2865?\n\"Answer: h + 2862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3084 - 99 = 0. Is 7\/7*q*(2 + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 2048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.55, 2\/17 in increasing order.\nAnswer: -0.55, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 9*f**2 + 8*f + 2. Suppose 0 = -3*h - 15, -2*h + 6 = -2*n + 4*n. What is s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 11:20 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3*f + 0*f**2 + 0*f**4 + 1\/3*f**3 + 0 + 1\/10*f**5. What is the second derivative of k(a) wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**4\/4 - 8*n**3\/3 + 4*n**2 - 4*n - 2. Let h be u(7). Suppose h*q - 90 = q. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50852077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*w**3 - 2 + 3 + 257*w**3 + 249*w**3 + 246*w**3.\nAnswer: 26*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-8\/5)*n))\/n**(-2\/17))\/((n\/n**(2\/17))\/(n\/(n\/(n**3\/n)*n))) assuming n is positive.\nAnswer: n**(-201\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3419 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmmvngmgm. What is prob of picking 1 b, 1 n, and 1 g?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2) + (-2 - -4). Suppose 0 = t + 3*a + 13, 5*t + 13 + 2 = -5*a. Suppose -d - t*d = -12. Are n and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0.115536589.\nAnswer: -1.884463411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -76*i - 110. Suppose -u - b = -5, b - 6 = -4*u + 5. Let y(a) = 15*a + 22. Let h(p) = u*t(p) + 11*y(p). Differentiate h(c) with respect to c.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t - m + 2*m - 2*m - 7 = 22, -4*m - 16 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 52. What is the remainder when 1 - -216 - (1 + -5 + 2 + 1) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81\/18*32\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3470 divided by -5.\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3\/6 - 23*j**2\/4 - 70*j + 1767. Factor z(g).\nAnswer: (g - 28)*(g + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37774933.97 - 0.3.\nAnswer: 37774933.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 - -15795?\nAnswer: 15770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61982 is divided by 1008.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - -0.08. What is the biggest value in 1\/3, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + -50 + 66 - -15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2*q - q**2)*(-2*q - q + 4*q) - 47778*q + 70*q**3 - 115*q**3 + 48317*q.\nAnswer: -46*q**3 + 539*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 35 - 35 = 0. Let n be 3 + (0 - (0 + 1)). Solve h - n = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10469.431 - -10444.430969. Let v = -51 + 26. Let i = k - v. What is i rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-52))\/((-1)\/(-1 - -3)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249372?\nAnswer: 2, 3, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*c + 39 + 268, -310 = -2*c - 2*o. Suppose -180 - c = -3*g + l, 3*l - 428 = -4*g. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 - 4.2.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, w: 11}. What is prob of sequence zzw?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 339*a - 723?\nAnswer: 339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3342 + -1324?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6420.39299 rounded to the nearest one hundred?\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.23 and 0.094096.\nAnswer: -0.135904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(1300) + sqrt(1300)*-2 + sqrt(1300) + sqrt(1300)) - 5*(sqrt(117) + sqrt(117) + -3*(sqrt(117)*2 + sqrt(117)) + sqrt(117))\/sqrt(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37657, 75334, 113011, 150688, 188365, 226042?\nAnswer: 263719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*67931951\nAnswer: -27172780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 0*q**2 + 0*q**2)*(2 - q - 2) + 2 - q**4 - 2 + q + 20*q - 9*q**4 - 16*q to o + a*q**2 + z*q**4 + c*q + u*q**3 and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -1. Let o(g) = -g + 27. Let j(l) = 5*k(l) + o(l). Let z be j(0). Let x = z + -12. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m**5 - 6*m**3 - 17*m + 6. Let w(t) = -8*t**5 + 7*t**3 + 18*t - 7. Let h(o) = -7*d(o) - 6*w(o). Find the second derivative of h(f) wrt f.\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -8. Let n(b) = 0 - 9*b - 3*b**3 + 15*b - 13*b + 0. Let h(k) be the third derivative of k**6\/120 + k**4\/12 - 5*k**2. Calculate v*h(d) + 2*n(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -5. Suppose 0 = 2*v - 205 - 11. What is the highest common divisor of v and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 457664 and 457664.\nAnswer: 457664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 3676*y**2.\nAnswer: -2*y**2*(y - 1838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/16*68*1. Let u(x) = -26*x**2 - 17*x - 17. Let p(j) = 9*j**2 + 6*j + 6. Determine k*p(i) + 6*u(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z = 4*b + 9, -3*z = 4*b - 11. Find the second derivative of 2*s**5 - 5*s**5 - s + s**z wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15291.2 + -15291. What is the nearest to 5\/8 in 1, d, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 956305*n + 2. Let d(q) = 420*q. Determine d(k(w)).\nAnswer: 401648100*w + 840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 21*j**2 + j - 3. Let w = -74 + 71. What are the prime factors of p(w)?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77119034 - -1696481?\nAnswer: 1696481.77119034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 3. Let k be -1*(-5 + 1\/((-7)\/(-42)))*1. Let m(n) = -n - 1. Suppose 0*v - 9 = 3*v, o - 9 = v. Let z(p) = k*s(p) + o*m(p). Give z(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8182, -68675, -232870, -552619, -1079774, -1866187, -2963710, -4424195?\n\"Answer: -8642*p**3 + p**2 - 2*p + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/(-3960)*(-9)\/1*(-20)\/54.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -127*l**4\/3 + 1898*l**3\/3 + 926*l**2 - 2. Differentiate k(v) wrt v.\nAnswer: -1016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 3*j**2 + 2. Suppose 20 = 6*b - 2*b. Suppose b*s = -i + 3*i - 11, 1 = -s. Calculate a(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2127183, 4254362, 6381541, 8508720?\n\"Answer: 2127179*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stmisysyyyyyy. Give prob of picking 2 s and 1 t.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1114515 - -2?\nAnswer: -1114513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 97*i - 8835. Determine y(-56).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let a = 1 + -3. Let c be 180\/81 + a\/9. Let o(k) = 2*k**2 - 3*k**c - 6*k**2. Determine n(o(z)).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/166495 and 99\/20.\nAnswer: 665980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.363, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l + w - 0, 0 = 7*l + w - 11. Solve 0 = l*t + 31 - 35 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t - 120. Let k(o) = -6783*o + 1. Give r(k(w)).\nAnswer: 20349*w - 123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1576557 (base 8) in base 7?\nAnswer: -3615361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 339, 815, 1501, 2403, 3527?\nAnswer: 4879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7137 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) -3\/4 (d) -1\/4 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 10. Let b be a(-8). Suppose 3 = n - 0. Suppose 0*w - 2*w = -3*c + 19, -2*c - n*w - 9 = 0. Solve -b*u = -u + c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -28?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*5 - sqrt(833) - sqrt(833))**2 + -2.\nAnswer: 7495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 0.48, 387961?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 51*c**3 - 2*c**2 + c. Let z be d(1). Suppose j = -j + 2*l + z, -2*j = 4*l - 44. Find the common denominator of (-3)\/(-2)*(335\/(-15) - 9) and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + b + 78, 2*b + 465 = 5*g + 84. Let t(p) = 6*p + 2. Suppose -5*r + 26 + 14 = 0. Let y be t(r). Calculate the highest common divisor of g and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -4*a - 5*v + 20, -a + v - 5 = 0. Let t = -4 + 8. Sort t, 5, a in descending order.\nAnswer: 5, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3 - 4 - d)*(-1071*d**2 + 2125*d**2 + 2 - 1014*d**2).\nAnswer: -80*d**3 - 40*d**2 - 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182932905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -3*a**5\/20 + 3*a**4\/4 + 8*a**3 + 18*a**2 + 179*a. Factor g(n).\nAnswer: -3*(n - 6)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 301 - -3220603?\nAnswer: 3221104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101360, 101366, 101366, 101354, 101324?\nAnswer: 101270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 435, 683, 1109, 1713?\nAnswer: 2495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 1230955936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73817611 to the power of 1\/2, to the nearest integer?\nAnswer: 8592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.11288 - -1.322. Let z = q + -0.199. What is z rounded to 3 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (90\/25 - 4) + (-4)\/(-15). Let w be -6 + 1 - 1891\/(-341). What is the third smallest value in 2\/5, a, -2, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162734 < 162732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 6*w + 4. Let k be x(5). Let j = -0.02 + 0.52. Which is the closest to k? (a) j (b) 3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*q**2 - 37 - 34 in the form w*q + g*q**2 + u and give u.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -26*p**2 - 2*p + 1. Let m be a(9). Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251279*d**6 + 134253*d**2 wrt d.\nAnswer: -30153480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0132392 to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, z: 2, x: 1, a: 3, w: 6, s: 2}. What is prob of picking 1 s, 1 n, and 1 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 86687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f + 38. Let t(m) = 3*m - 38. Calculate 4*h(u) + 6*t(u).\nAnswer: -2*u - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d**2 + 19*d + 19. Let f(q) be the first derivative of q**3\/3 - 5*q**2\/2 - 5*q + 4. Let n(h) = 26*f(h) + 6*t(h). Determine u, given that n(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/9 - 2)\/(78\/(-351)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1341 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*z - 4*z - 4 = 0, z = -t. Solve -t*g = -0 + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4270890 and 23067.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 431821 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210542.65 + -210534.9499906. Let q = 1.92 + -9.62. Let h = f + q. Round h to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in decades?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44 and 29.5461.\nAnswer: -1300.0284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/33 + 68\/6. Solve -b = -5*n - 3*h, -n + 2*h = 2*n - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f**2 + 4*f**2 + 3*f**2)*(-2 + 4 + 2)*(194*f + 92*f - 170*f) to g*f**2 + x + q*f + u*f**3 and give u.\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b**2 + 2*b - 1. Calculate the smallest common multiple of 20 and u(1).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.34 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21780 divided by 1210?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.06387 and -0.3.\nAnswer: -0.36387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 0, 6\/145, 7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 127*g + 1. Let j be m(-1). Let w = -54 - j. Let c be 628\/w - 12\/54. Are 9 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 5. Let d be j(-5). Suppose -4*w + 26 - 6 = d. Let n = 3 + 2. Solve n*m = 2*c + 2*c - 30, 2*c = -w*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:29 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4058812?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513195 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 26*g + 458. Let v be q(39). Suppose t + 0*t - 132 = 0. Let l = v + t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2449\/8 or -305?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37271 is divided by 18569.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356, -1417, -3186, -5663?\nAnswer: -8848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvtvvvvvu. What is prob of sequence uvm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 5:52 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**12*n\/n**(-2\/13)*(n*n**(2\/9)\/n*n)\/n**(-2\/13) assuming n is positive.\nAnswer: n**(-991\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and -7.7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 79 = -l, 0 = 4*l + l + 2*v - 326. Suppose -l*p - 12 = -52*p. Let o = 0.01 + -0.31. What is the biggest value in p, 2\/3, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1799886 or -1799882?\nAnswer: -1799886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279324 less than -8980?\nAnswer: -288304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a - -8b16?\nAnswer: 8ada","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-14\/3)*j)\/j**(-31\/5) assuming j is positive.\nAnswer: j**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.4 (b) -0.1 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7436 and 6717412?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 1. Suppose -111 = -2*b - 113. Let l(r) = -12*r**4 + 4*r**3 + 40*r + 4. Let g(y) = b*l(y) + 4*v(y). Find the second derivative of g(k) wrt k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/6 and -43\/71.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1. Let u = -146332.6 - -146333. Which is the closest to -0.1? (a) -1\/2 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 13. Let o be t(10). Suppose -2*l + o*c + 4 = -51, 5*c + 109 = 4*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -5. Let x be (-1)\/z - (-258)\/10. Let w = x - 21. Solve -1 = 3*v + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553117 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 6. Suppose -g = -t - 5*w, -t = -2*t + 2*w - 12. Calculate the remainder when 31 is divided by (3\/2)\/(t\/(-44)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -8*y - 2*n, -n + 19 = -5*y - 19 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 27 (b) 36 (c) -0.18 (d) 1 (e) -5 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18968, -75354, -169156, -300374?\nAnswer: -469008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222299*r**3 - 705784*r**3 - 836466*r**3.\nAnswer: -1764549*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*x - x = 2, -3*c + 16 = 4*x. Suppose 14*t - 4284 = c*t. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 641 (base 9) to base 8.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2570347?\nAnswer: 13, 163, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 1. Let c be (-15)\/5 + 2*(0 - q). What is the lowest common multiple of 3 and ((-22)\/(-8))\/(c\/(-60))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 12:40 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*y = 1009*y + 7018 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 7*k + 70. Calculate the remainder when 52 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.5 and -4.888?\nAnswer: 3.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(27\/(-42))*-1. Suppose -80 = -2*l - z*l. Find the second derivative of -20*s + 18*s + l*s**3 + 8*s**3 wrt s.\nAnswer: 78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764856181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**3\/6 - o. Let z(c) = -c**2 + c. Let x(f) = 4*f**2 - 3*f. Let a(u) = -x(u) - 3*z(u). Calculate a(h(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -789\/5, 0.3, -1014, 2\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 8:30 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 28.6076?\nAnswer: -85.8228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1994587 is divided by 2055.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-3 - (-7 + -3)) - 11 - 30) + -7.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 18*i + 168. What is the lowest common multiple of 42 and o(-8)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 7:08 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7086044 divided by 5.\nAnswer: -7086044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.24 - -5. Let k = j - -2.1. Which is the second smallest value? (a) -0.1 (b) k (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3043, -6036, -8985, -11884, -14727?\n\"Answer: a**3 + 16*a**2 - 3048*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 4\/5, 0.4, -2\/57, 73?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-6) + (-13)\/(-10). What is the third biggest value in -2, s, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.1, 61, 0.07, 7\/17?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/515 + 2459\/29870. Find the common denominator of 91\/2 and y.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpqfrprrrprrr. What is prob of sequence pf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 131320?\nAnswer: -131323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-2\/23)*(r**(1\/3))**(2\/17))\/((r*r*r**(-6)*r**(-5))\/(r*r**(-3)*r**(2\/27))) assuming r is positive.\nAnswer: r**(76013\/10557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74950, -74954, -74958, -74962?\n\"Answer: -4*i - 74946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 + 0 = 0. Let m = 1 - r. Is 6 a factor of (-13)\/(-1) - (m + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548 greater than or equal to 351?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*b**3 - 2 + 1 - 9*b**2 + 12*b**2 - 258*b**3 - 516*b**3 in the form y + m*b**2 + r*b + n*b**3 and give n.\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 8:22 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/4 + c**4\/8 + c**2. Let o be n(3). Suppose y = -2*y + o. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/29))**(-39)*y*y\/(y**(-1\/22)\/y)*y*y**(-8\/5))**22 assuming y is positive.\nAnswer: y**(12091\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, r: 4, v: 3, x: 4}. Give prob of sequence rx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.9? (a) 3 (b) -204 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 658 and 3.\nAnswer: 1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1497 and 24?\nAnswer: 11976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2871 and 2900493?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose 3*c - 8 = 4. Suppose -s + c*s - 21 = g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*n**2 + 1254*n - 1251 - 40*n**2 - 38*n**2 + 158*n**2 - 51*n**2.\nAnswer: -3*(n - 417)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w - a - 2, -14 = -w - 3*a. Suppose -2*f + w = 4*j, 2*j = -5*f + 3*j + 38. Solve 1 = -4*n - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 0 = 2*f + 20, 0 = -2*f - v - 20 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -19*w**2 + 23*w + 9. Let g(t) = -5*t**2 + 6*t + 2. Let z(h) = -9*g(h) + 2*y(h). What is the second derivative of z(v) wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57.7 + 58. Let p = 30 - 91\/3. Which is the nearest to p? (a) 3 (b) i (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 80*g + 173. Let h be v(-2). Solve -5 = h*s - 8*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 7. Let y be b(-5). Let v(p) = 12*p + 30. Let r be v(-7). Let t = r + 57. Solve -12 = 3*j + t, 0 = 5*o - y*j - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 22 = -5*b. Let w(f) = -f + 3*f + 4 - 3*f - 3. Let c be w(-2). Solve 3*j = -2 + b, 0 = -d - c*j + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*s**2 - 74*s**2 - 1 - 8986*s + 9039*s to k + l*s + w*s**2 and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/(-16)*(-24)\/52*16\/6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3543\/10 + -3539\/10. Put 8\/3, d, 12\/83 in increasing order.\nAnswer: 12\/83, d, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111001 + 0?\nAnswer: 2111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*c**2*j**2*s - 4*c**2*j + 90*j**2 - 2*j*s - s + 4 wrt c.\nAnswer: 42*c*j**2*s - 8*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a = -20. Let i be (-24)\/52 + 426\/78. Put a, i, -5, 2 in descending order.\nAnswer: i, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/1 + (95 - -7). Let o = x + -61. What is the remainder when o is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 3. Determine y(29).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -272.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i + 3*t = 33*i + 446, -4*i = 4*t - 888. Calculate the highest common divisor of i and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167 smaller than 91492\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170 + 173. Let g be (-17)\/(-34) + 6*a\/12. Solve -5*v + v + 5 = -5*c, g*v - 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 757, 1\/1544, 2\/11.\nAnswer: 1\/1544, 2\/11, 757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16884 + -16881. Which is the fourth smallest value? (a) 2\/7 (b) -1\/8 (c) -0.5 (d) j (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/57 and -91\/2?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 5\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -209, -315, -421, -527, -633?\nAnswer: -739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/80*(-48)\/(-40)*((-9288)\/(-162))\/43.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 92011243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - z**2 - 724*z + 724*z to the form n*z**2 + x*z + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 33810000 to the nearest 100000.\nAnswer: 33800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 - 2*n**2 + 2*n**2 + (n**2 + 0*n**2 + 0*n**2)*(n - 2*n - n) - n**3 + 0*n**3 + 3*n**3 - n**2.\nAnswer: -4*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -9*b - 76. Let v be c(-9). Suppose 0 = -v*y + 5*w + 4190, 4*y - 1667 = 2*y + 5*w. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/102 - 2\/17. Let q = 285 + -285. Let l be (144\/240)\/((-7)\/(-5)). What is the second smallest value in n, q, l, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (9\/(-3) - -2). Find the second derivative of -3*y + 2*y**3 + 0*y + t*y**4 - 2*y**3 wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1522213 (base 6) to base 14\nAnswer: 24437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 590 + 591 + 86 + 335*u**2 - 319 wrt u?\nAnswer: 670*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.590844 centimeters?\nAnswer: 55908.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 31b055 (base 16) to base 13\nAnswer: 8a0289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c - 23*c = g, 0 = 3*g - c - 10 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.3 (b) -0.02 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 - 140 = 133*h. Suppose -2*o + 1 = 3*f - 4*f, 4*o + 1 = 3*f. Is h equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*q + 20 = 744*q - 1485*q, 0 = -3*g + 2*q + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 7*d - 6. Let g be r(5). Suppose 4*o + 3 = 23. Suppose -2*t + 0*p - 20 = -4*p, o*t + 15 = 3*p. Sort t, g, -3 in increasing order.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + -7 + (139 - 17 - 120)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 93, 137, 199, 285, 401?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -11271650217678\nAnswer: 11271650217674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139038.\nAnswer: 2, 3, 23173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 3:01 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133128 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 10. Let t be h(4). Let d = -8 - t. Let v(r) = -2 + r - 4*r + 4*r. Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5362495*a**3*o**3*t**3 + 587*a**2*o**3 - 1313*a*o**3*t**3 + 3*o**3*t**2 - 2*o**2 wrt a.\nAnswer: -32174970*o**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21696 - 15239. Suppose 11*u + 2101 = v. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 2*r. Suppose -r*p - 34 + 189 = 0. What is the common denominator of p and (-1370)\/450 - 4\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 - i - 1. Calculate h(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5383717.\nAnswer: 71, 191, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-19 + 5) - (-2 + -15)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36432 and 1056.\nAnswer: 72864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541.66419 microseconds to hours.\nAnswer: 0.000000150462275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152 and 8353.\nAnswer: 1269656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/12 - 2*g**3\/3 + 5*g**2\/2 + 9*g. Let k be j(4). Suppose k*i - 8 = 12. Sort -3, 1, i in decreasing order.\nAnswer: i, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7046 < -7066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 536540.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2341, -3020, -3697, -4372, -5045, -5716?\n\"Answer: l**2 - 682*l - 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20438*s**2\/9 + 17392742*s\/9 - 3404\/9 = 0 for s.\nAnswer: 2\/10219, 851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 15550f?\nAnswer: 15550e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/18 (b) 4\/9 (c) 0.3 (d) -97\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9848277035530 and -68?\nAnswer: 9848277035462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 + 369 = 2*z, -2*k - 144 = -3*z. Let v = -42 - k. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*t - 45*t**3 + 177*t + 0*t**2 + 0*t**2.\nAnswer: -45*t**3 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32101 - 11?\nAnswer: 32030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*31\/((-31)\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 976 and 137738?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1032 and 49\/916158?\nAnswer: 3664632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20293, 23326, 26359, 29392, 32425?\n\"Answer: 3033*w + 17260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 8 + (-6 - -6) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 4:07 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2612? (a) -0.3 (b) -1297 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - 6)*(-4)\/6. Solve 2*b + g = 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 44 = -16*l. Suppose 55 = l*c - 5*o, -8*c + o = -13*c + 49. Solve -u - u = c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 30*p**2. Let m(u) = 14*u - 51*u - 28*u. What is m(k(o))?\nAnswer: -1950*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -5. Let x = r + -4. Let p = 1 - x. Sort -5, p, 1 in decreasing order.\nAnswer: 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3438 and 201?\nAnswer: 230346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1491 - 1495. Sort s, 106, -3 in decreasing order.\nAnswer: 106, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.77005, -2\/11, 4?\nAnswer: -0.77005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (0 + -1 - 3). Let i be ((-48)\/(-9))\/4*t. What is the second derivative of l**i + 9 + 3*l - 9 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -5*g. Solve g*f - 2*k + 1 = -1, -2*f - 4*k + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13202 (base 6) to base 14\nAnswer: -a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 1. Suppose 4 = -2*s + 2*r, 8 = -s + 3*r - 0*r. What is the units digit of k(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 - 24. Let g(f) be the third derivative of -f**2 - 8\/3*f**3 + 1\/15*f**5 + 0 + 0*f**4 + 0*f. Let i(j) = -5*d(j) + 8*g(j). Factor i(r).\nAnswer: 2*(r - 2)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 30860004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 66 = 4*m - 18, 0 = -5*p. Suppose 7*r = -4*z + 2*r - m, 0 = 4*r + 20. Let j be (z - 2)\/(4\/(-16)). Solve j = -5*d + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 15*a**2 - 4*a**2 - 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7056)\/(-60))\/(-42)*((-150)\/4)\/(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**11\/h**(2\/57) assuming h is positive.\nAnswer: h**(625\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*u + 11036, 0 = -2*k - 35*u + 39*u + 4448. What is the greatest common factor of k and 1360?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 60 = 3*u. Suppose -p = 4*p + u. What is the units digit of ((-9)\/6)\/(p\/152)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100 - -50. Let y be (s\/(-15))\/(2\/30). Let b(r) = -3*r - 8. Let p be b(-6). What is the greatest common factor of y and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {m: 2, x: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67 + -62. Which is the closest to -2? (a) g (b) 0.2 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 + 1 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -8da9?\nAnswer: 8da6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/6389120 and 7\/166117120?\nAnswer: 166117120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23412451?\nAnswer: 17, 131, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k. Let a(d) = -138*d**2 + 690*d. Determine a(i) - 230*l(i).\nAnswer: 92*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-5)*l*(l**(1\/37)*l)\/l assuming l is positive.\nAnswer: l**(-110\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*x - 1104 - 13771 - 34529 = 0 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*86 + (-1)\/117*39\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 41756*i = 41750*i - 49, -25 = b + 3*i for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*t - 16. Solve 4*p - 4*c = -2*c - 22, 18 = -t*p + 2*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = -8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1430260 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 - 3. Suppose -4*n + 10 = 2*f, -4*f - 3 + 5 = -n. Which is the closest to f? (a) 5 (b) u (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5a4 (base 11) to base 6\nAnswer: -3155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**3 - 882*n**2 - 86304*n + 2475904 = 0.\nAnswer: -232, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/65)*d))\/d**(6\/5) assuming d is positive.\nAnswer: d**(-16\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -30*d**3 - 8*d**2 + 10*d. Let s(m) = -m**2 + m. What is 8*s(p) - z(p)?\nAnswer: 30*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, -713.6, 0.2 in decreasing order.\nAnswer: 5\/2, 0.2, -713.6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30374 + 0?\nAnswer: -30374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12763910 times 2\nAnswer: 25527820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let h(q) be the second derivative of -q**3\/6 - 8*q. What is h(z(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*v - 15 = 0, 8918278*m + 1 = 8918277*m + 5*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 30*w - 351. Calculate g(18).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.5 from -0.423108532.\nAnswer: 3.076891468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 7*c - 26. Suppose 0 = -3*x - 4*r + 65, x + 21*r - c = 26*r. What is the highest common factor of x and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 174 = 50. Let h = z + 223. Suppose -4*p = -25 - h. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -147, -302, -487, -708, -971?\n\"Answer: -n**3 - 9*n**2 - 121*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*p**2 - 13 - 71*p**2 + 3 - p to m*p**2 + a*p + s and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/928 and -29\/864.\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 7. Let x(n) = 19*n + 13. Determine 5*d(o) - 3*x(o).\nAnswer: -12*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231.6*-0.0503.\nAnswer: -11.64948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 5. Let m = -63 - v. Solve -1 = -5*q - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09113 - -0.09. Round z to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -11*y. Let h(n) = -3*n. Give h(z(w)).\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n = 0. Let y be ((-12)\/28)\/(72\/84). What is the biggest value in n, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3 - (12 - (-660)\/(-45)))*(-72)\/12\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/24 and 43\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 5*o - 5*u + 135, 2*o - 5*u - 75 = 0. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112*((-20)\/(-45))\/(126\/(-81))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u. Let y(a) = -4*a - 25534996. Give t(y(l)).\nAnswer: -12*l - 76604988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28006 and 2.345.\nAnswer: -65674.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*q**3*w**4 - 1369*q**3*w**2 + q*w**2 + 4090*q*w - 13605*w**4 + 33*w**3 - w**2 wrt w?\nAnswer: -1224*q**3*w - 326520*w + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124*h - 1264 = -1140*h. What is the remainder when h is divided by (-36)\/(-2) - (1 + 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -934 != -935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 divided by 172.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 2 + -20 - -40\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(52\/(-3))*(-52036)\/39027.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -4*sqrt(1008))*3.\nAnswer: -144*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 111*d**2\/4 + 131*d\/2 - 159\/4.\nAnswer: (d + 3)*(d + 53)*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 - 8 + 10159*y**2 - 2*y**3 - 10161*y**2 - 7 + 4*y to the form n*y + r*y**3 + q + m*y**4 + w*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354, 0, 5.\nAnswer: -354, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + 3*sqrt(2448) + -1 + (sqrt(2448) - (4*3*sqrt(2448) - sqrt(2448)))**2 + sqrt(2448).\nAnswer: 48*sqrt(17) + 244808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -9 - (1 + 3 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.97 - 17. Let r = 4.97 - d. Let k be (-18)\/(-3) + (-3 - -1). Which is the nearest to -1\/3? (a) r (b) -2\/19 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12554, -12553, -12552, -12551, -12550?\n\"Answer: q - 12555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s. Suppose s*v + 4*v + 48 = 0. Find the common denominator of -107\/12 and 65\/12 - (-8)\/v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*1*(1*sqrt(171) + 5))**2.\nAnswer: 750*sqrt(19) + 4905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000400307 to seven dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 199 in decreasing order.\nAnswer: 199, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:34 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 p when four letters picked without replacement from {t: 2, p: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -234, -234, -236, -240?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)\/(5\/(-15)). Suppose -679 = -t*n + 5*j + 65, 5*n - 2*j = 1259. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**4\/2 - 117*l**3 + 14577*l**2\/2 - 136826*l = 0.\nAnswer: 0, 43, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 3*d**2 + 2*d + 6*d.\nAnswer: -3*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -770 + 734.1. Let z = x - -36. Which is the third biggest value? (a) -1\/2 (b) -7 (c) z (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a + 98 - 3 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4676 * 15.\nAnswer: 70140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -1279\nAnswer: -6395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -29*j**2 - 11*j - 5. Let q(t) = -15*t**2 - 5*t - 2. Let h(r) = 5*q(r) - 2*y(r). What is the second derivative of h(l) wrt l?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 106, 293, 534, 829, 1178, 1581, 2038?\n\"Answer: 27*b**2 + 106*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5 - 2282*p**4 - 29314*p**3 + 15962*p**2 + 191604*p - 175968 = 0. What is p?\nAnswer: -1128, -13, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86a65 (base 16) in base 2?\nAnswer: 10000110101001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2821581?\nAnswer: 3, 7, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.21 in 2, 8, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-13))\/(3 + (-46)\/14). Let h = -17\/104 + n. What is the common denominator of h and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10 - 32\/(-20). Suppose -5*j = -4*m + 3, 5 = 3*j - m + k*m. What is the common denominator of -5\/4 and -1*(j + (-207)\/(-30))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38\/((-3344)\/44)*34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26 - -9 - -3) + (7 - 12)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 + 233. Is y at least 391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuspupustus. What is prob of sequence up?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119 + 15 - 71)*(-2*h + 2*h - 2*h) + h + 3*h - 6*h.\nAnswer: 348*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 72, -14, -120, -252?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 114 + -112. What is the greatest common factor of h and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -211*z - 7. Let c(r) = 209*r + 5. Determine -3*c(o) - 2*q(o).\nAnswer: -205*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 22*o + 309. Let j be d(-22). Solve -3*l + 324 = j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -6*h + h - 4, -2*u + 4 = 3*h. Let y(o) = 1. Let n(g) = -g**3 + g**2 - 7. Let l(z) = -n(z) - 5*y(z). Determine l(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.645 rounded to 0 decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(50) + 2*sqrt(250)\/sqrt(5) - ((sqrt(250) - sqrt(250)*1) + sqrt(250))\/sqrt(5))\/((3*2*sqrt(80))\/((sqrt(48)\/sqrt(2))\/sqrt(3))).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*-243\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let w(z) = 67*z - 9502. Calculate w(c(t)).\nAnswer: -67*t**2 - 9502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/6)\/(8\/(-12)). Suppose b + 1 = 3*j - 4*d, 5*d + 20 = -5*j. Is 6 a factor of j\/(-3) + (-40)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (2 - 20\/8)*178. Let l be q + (-2)\/(-2) + 3. Let v = 96 - l. What is the highest common factor of 100 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/6)\/(s\/(s**(-8)\/s))*(s**1)**26 assuming s is positive.\nAnswer: s**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -593 + 835. Does 29 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60746*k**5 - 265791*k?\nAnswer: -1214920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 30 = 4. What is the remainder when (15 - 0\/6)\/(h - 1) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1\/4*h**4 + 3 + 0*h**2 - 1\/3*h**3 + 0*h. What is the third derivative of o(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 0*m**2 - 1\/7*m**5 - 2\/7*m**3 - 3\/7*m**4 + 0 = 0. Calculate m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 23. Let o(x) = 3*x - 23. Let y(z) = -3*o(z) - 2*u(z). Let p be y(23). Solve c = -p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23 and -15946.84.\nAnswer: -15969.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1276 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21911 = -12*k + 79595. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19642 * -29\nAnswer: 569618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 0*i**2 + i**2 - 3*i**2 + i**3.\nAnswer: i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 at least -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11781, -47222, -106315, -189060, -295457, -425506?\nAnswer: -579207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/9)\/((-24)\/(-36)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 904 - 358. Calculate the common denominator of 75\/14 and (-2)\/(-13) - (-1359)\/d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrxxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbuu when four letters picked without replacement from xububbbjbjxbeu.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2387*u**2 - 2413*u**2 + 7218*u**2 - 2389*u**2.\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 195\/15 - (15 - 4608)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8 = 11 - 15, -2*v = -4*p + 40 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25217 - -7102. What are the prime factors of c?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80907460 divided by 2\nAnswer: -40453730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2)*n*n*n*(n\/(n\/(n\/(n*n*n\/(n\/(n*n**(1\/22)))*n*n))*n))\/n)**(-1\/7) assuming n is positive.\nAnswer: n**(111\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 1\/2*l**4 + 15\/2*l**2 - 7\/2*l**3 + 0 - 9\/2*l = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfffm. Give prob of sequence ffm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 13 - 5 + q - 20*q**2 - q as s + l*q + j*q**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -50*w**2 + 6893*w + 613. What is z(138)?\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -16491810.\nAnswer: 1\/3298362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -40, -127, -266, -451, -676?\n\"Answer: u**3 - 32*u**2 + 2*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-30)*6*145?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**3 - 18*m**2 + 2*m - 5. Let r be n(6). Suppose -r*b + 10 = -2*b. Solve -20 = 2*l - 4*w, -4*l - 3*w = b*w - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 117\/2?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59366011.\nAnswer: 71, 811, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 = -21*f - 163. Suppose -3*t = 3*n - 2604, -t - 32*n + f*n = -871. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133306 or -133311?\nAnswer: -133311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34104 divided by -98.\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*(-2 + 1 - 0). Let x(h) = -15*h + 81. Let i(p) = -3*p + 16. Let c(y) = -11*i(y) + 2*x(y). Let u be c(k). Solve 5 = -u*b - b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1956897 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86813698.\nAnswer: 2, 19, 571, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 3*z**2 - 9*z + 5. Let t be n(-5). Suppose -m + 891004 = 3*g, t*g - 4*g + 1187996 = -m. What is g rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66 (b) -7 (c) -17451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -17. Which is the closest to -0.3? (a) g (b) 2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 249709, 249713, 249717, 249721, 249725?\n\"Answer: 4*j + 249705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**5\/6 + 2*v**4\/3 - 4*v**3\/3 - 7*v**2 - 3*v\/2 + 9 = 0.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -11. Suppose -x - 108 = -j*x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m, -4*k + 2*m = 0. Let f be k\/5 + -4 + -138. Let z = 155 + f. Calculate the remainder when z is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(1 + l - 1 + 0*l + 3*l - 2*l + (-2 + 3 - 3)*(l - 3*l + 0*l) - 2 + 2 + l - 908*l + 2224*l + 6305*l).\nAnswer: 15256*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6*f - 594 = 3*f, c = 5*f + 586. What is the remainder when c is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, g: 8, h: 1}. Give prob of picking 1 h and 2 g.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3141*n - 2. Let o(q) = -3129*q + 2. Calculate -6*k(i) - 7*o(i).\nAnswer: 3057*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4) - (-14)\/(-4). Let d(g) = g + 4. Let r be d(n). Is 148\/8*(-6)\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 27 = -5*w, -3*f = -5*w - 8*f. Solve -5*b + w*b = -4*i, i - 6 = 2*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6884491.\nAnswer: 6884491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 41 = 3*t, -124*j + 65*j + 56 = -2*t - 64*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -275 - -271. Let s be w\/(-4 + 96\/27). Solve 2*o - u = 6, 2*o + o + 3*u - s = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/5 (b) -110 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m. Sort 5, m, 2 in decreasing order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*d + 3060 = -6*d - 91*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 29573, -7.\nAnswer: -7, 1, 4, 29573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/21 + 12\/(-7). Which is the closest to 1\/3? (a) g (b) 0.26 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 96. What is the nearest to -0.1 in -1, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26550 + 26550 - 515*m**2 + 85*m**2.\nAnswer: -430*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10576, -42490, -95682, -170158, -265924, -382986?\n\"Answer: -u**3 - 10633*u**2 - 8*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 792709016*c**5*j - 28014*c*j - 2120*j wrt c?\nAnswer: 15854180320*c**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 287448331?\nAnswer: 287448331.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 4*j**3 + j**2 - j - 1. List the prime factors of t(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**3\/6 - h**2\/2 + 6*h. Let f be v(5). Solve f*t - 7 + 23 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 17. Let l be k(-7). Suppose l*p + 3*u - 2542 = p, 5*p - 6377 = -2*u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196566 is divided by 2847?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17182*w + 58934.\nAnswer: 17182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 140, -0.2, 7\/6, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 531 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1791 divided by 2.\nAnswer: -1791\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*o**2 + 276*o**2 + 89*o - 176*o + 87*o.\nAnswer: 247*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -122422 (base 5) in base 14?\nAnswer: -1a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16611 and 116081?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -3\/20*g**5 + 19*g**2 + 0 + 0*g**6 + 0*g**7 + 0*g + 0*g**3 - 5\/84*g**8 + 0*g**4. What is the third derivative of l(n) wrt n?\nAnswer: -1200*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 59*s**3\/3 + 231. Let o(g) = 5*g. What is o(p(l))?\nAnswer: 295*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2574832712.\nAnswer: 2, 5437, 59197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5 = 3*u. Let h = 0 - 4. Let f be h\/(1 + -2 + 3). Sort u, -1, f in ascending order.\nAnswer: u, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/465130 and 17\/1928.\nAnswer: 1860520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*z + 89 - 281 = 0, -5*v - 4*z = -315. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.069*-1243\nAnswer: 85.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1906 = 6*u - 3824. What are the prime factors of u?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 14 = -4*g. Suppose -3*u - 2*u + 120 = -3*t, 0 = -4*u + 3*t + 93. What is the remainder when u is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -u + 2*u - 9, 0 = -2*z + 5*u - 21. What is the third derivative of 2*n**2 + 3*n**4 + n**4 + n**z - 2*n**4 wrt n?\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3036*t**2 - 15*t - 4. Is 132 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + 38 - 78 + 2*a + 42 to b*a + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1372, -1253, -936, -325, 676, 2163, 4232, 6979?\n\"Answer: 16*k**3 + 3*k**2 - 2*k - 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -284.71 + 286. Let x = t + -7.49. What is x rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2, 1016, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 80250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/8 (b) 11 (c) 0 (d) -0.0437 (e) 0.4 (f) 0.09 (g) 8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -112.907 and 1.1?\nAnswer: -124.1977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 - 128*i**2 + 2359*i + 13. Let y(m) = 2*m**3 - 59*m**2 + 1179*m + 6. Give 6*n(k) - 13*y(k).\nAnswer: -2*k**3 - k**2 - 1173*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**5 + f**5 + 2*f**5)*(1 + 3 - 3)*(-3 + 2 + 3).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.480538 to 3 decimal places.\nAnswer: -4.481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 + (-12 - -55 - 28)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 879357365.\nAnswer: 5, 71, 2477063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 - 2. Let u(x) = -22*x**3 + 51*x**2 - x + 19. Calculate 8*f(n) + u(n).\nAnswer: 2*n**3 + 51*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48975, 1\/7, 0 in increasing order.\nAnswer: -48975, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/10)*f*f**(-2\/3)*(f**(-1))**(-29) assuming f is positive.\nAnswer: f**(871\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620*u = 3776*u + 6895*u - 361575 - 317250 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166533 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1481804, 2963605, 4445406, 5927207, 7409008, 8890809?\n\"Answer: 1481801*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-13 + 1 - -4 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8476235526?\nAnswer: 2, 3, 11, 67, 1916833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/1119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4893 - -4899. Put g, -1, -2\/9, 0 in increasing order.\nAnswer: -1, -2\/9, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 3*b**2 + 6*b - 6. Let l be s(4). Suppose 2*a - 2 = 2*v, -7*v + 31 = -3*v + 3*a. Solve l - 14 = v*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -310778*f**5 - 2*f**4*t + 7*f**3 - 7*f**2*t - 1507928*f**2 wrt f?\nAnswer: -18646680*f**2 - 48*f*t + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 at least 286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 303.6561 grams?\nAnswer: 303656100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -69. Is (1 + q)\/(-3 - (-10)\/3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d**3 + 4*d**2 - 1\/30*d**6 + 0*d + 0*d**5 + 0 - 1\/6*d**4. Find the second derivative of g(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-50)*-2)\/((-2)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 3*r = 5*n - 9, 5*n + 3*r = 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 7*v + 10. Let c be o(8). Differentiate 461*w**c - 2*w - 444*w**2 + 3*w - 47 wrt w.\nAnswer: 34*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r = -3*f - 12, 3*f + 3*r + 9 = 0. Suppose f = -5*y - 0*y + 35. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5605 or -5584?\nAnswer: -5584","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 265*p**4\/6 - 921*p**3\/2 - 121*p**2 + 10*p. What is the first derivative of f(o) wrt o?\nAnswer: 1060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 4. Let o be 6\/(-8) - (-147)\/228. Let i be (-1 - -2)*2\/(-8). Which is the nearest to i? (a) o (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 89202, 713551, 2408204, 5708313, 11149030, 19265507?\n\"Answer: 89192*z**3 + 5*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436835459.\nAnswer: 827, 528217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1527650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**3\/3 - 3*j**2\/2 + 4*j + 3786. What is m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14 = 3*q. Let d = q + -4. Suppose h + 15 = -2*h - 4*w, -w - d = 0. Is h smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 190. Let n be q(0). Suppose -n - 50 = -5*s. Suppose -4*d = 2*l - 3*l - 74, -2*d = 5*l - s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c + 4*c + 14*c + 3 - 2. Does 18 divide p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/9)*z)\/z**3)\/(((z\/(z*(z**(2\/7)*z)\/z))\/z*z)\/(z\/z**(2\/5))))\/((z**(-1\/2)\/z)**31*z*z\/z**(-4)*z**(-2\/15)) assuming z is positive.\nAnswer: z**(24757\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -19 + 4. Solve 5*u + r - c = 0, -u + 5 = -r - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2079, 2091, 2105, 2115, 2115?\nAnswer: 2099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-520)\/12*10. What is f rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*l = -3787 + 695 - 4999 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 3631005603512?\nAnswer: -3631005603507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 7 = -g - 4, 16*d + 128 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.201575 milligrams to tonnes.\nAnswer: 0.000000000201575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.35 and -0.7487?\nAnswer: 1.0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -25*b - 89. Let o(w) = -6*w - 20. Let p(j) = 18*o(j) - 4*q(j). Let t(n) = 1. Calculate -p(v) - 4*t(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, t: 4}. Give prob of picking 4 t.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -542462269527.8?\nAnswer: 542462269531.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 5 (c) -134 (d) -3.2 (e) -3\/2 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -5. Let i = 0.161613 - 0.211613. Which is smaller: p or i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(10106\/(-1793))*(-156)\/22?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*-4 - (sqrt(126)*-1)\/sqrt(9))\/(-3*sqrt(567)*3*-3).\nAnswer: -19*sqrt(2)\/243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.61 + -0.1893.\nAnswer: 15.4207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 26?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 157676278713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2987*l - 4704 = 2819*l for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-540)*(30\/(-21) - -2). Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f. Suppose -6*n + 18 = -f*n. Suppose -3*x - 2*g + 1456 = -n*g, x - 3*g = 488. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 + (18 - 9))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -21. Let m(h) = l*h**2 - 3*h**2 + 28*h**2. Let o(i) = -2*i**2. Calculate o(m(y)).\nAnswer: -1682*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Factor -9*x**3 + 636*x**2 + 876*x - 864.\nAnswer: -3*(x - 72)*(x + 2)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, -7\/2, -0.01, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(95)*-2 + sqrt(95)))\/sqrt(5) + -4.\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - z)*(8*z**2 + 13 - 13)*(25*z**2 + 3*z**2 - 2 + 3).\nAnswer: 224*z**5 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98, 279, 560, 941, 1422, 2003?\n\"Answer: 50*y**2 + 31*y + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -17, 9, -0.3, -1 in decreasing order.\nAnswer: 9, -0.3, -2\/5, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, -1854, 3\/8?\nAnswer: -1854","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60230683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 940 and 1128?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3 + (-42)\/(-12)) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.075, 1\/4?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 6. Let k(a) be the second derivative of -1\/2*a**2 - 21*a + 0. Calculate 8*k(g) + v(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 4*r**2 + 326*r + 1689. Let x be w(-5). Calculate the greatest common divisor of 6034 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 13. Let k be w(-14). Let a be k\/(-6) + 140\/(-24) + 4. Let o be -14*(-1)\/2 + a. Sort -4, o, 11.\nAnswer: -4, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438.\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**2. Let i(t) be the second derivative of -5*t**4\/12 - 2*t. What is i(o(u))?\nAnswer: -320*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16294448 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3) + -16 + 0. What are the prime factors of (c\/(-2))\/(2\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4011.2703642 - 4035.7263. Let k = -0.0485042 + m. Let q = 24.5 + k. Round q to four decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -9*h + 2. Determine l(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 845835550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 27*f**2 - 2*f - 1. Let d(y) = 82*y**2 - 5*y - 3. Determine -8*b(v) + 3*d(v).\nAnswer: 30*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**(3\/8))**(2\/5)*(r**(-6)*r*(r**(-1)\/r)\/r)**(-2\/3) assuming r is positive.\nAnswer: r**(1271\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3399594, -6799232, -10198872, -13598514, -16998158?\nAnswer: -20397804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*54.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-384)\/(-704))\/(78\/231).\nAnswer: 42\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**3 - y**3 - 3*y**3)*(-2*y + 1 - 1) + 0*y**4 - y**4 + 2*y**4 + (3*y - 4*y - 8*y)*(-2*y**3 + y**3 - y**3).\nAnswer: 23*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 + -159. Suppose 0 = -j*f + 57*f - 96. Suppose k - 3*k + 40 = 0. Calculate the remainder when f is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 6*((sqrt(171) - (2*sqrt(171) - sqrt(171)) - sqrt(171) - sqrt(171)) + sqrt(171)))*-3)\/(2*-4*-1*sqrt(9)).\nAnswer: -21*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.846 + 0.154. What is the second biggest value in l, 11, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 - (8 + -68) - -51.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 6*r + 63. Is q(38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25907 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**3 + 2*m**2 - 8*m + 12. Let y(c) = -6*c**3 + 3*c**2 - 7*c + 12. Let p(i) = 5*k(i) - 6*y(i). Let v be p(8). Solve -3*g - g = -v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.86 - 0.46. Let x = a - 1.5. Let z = 37633\/260 - 724\/5. Is x smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98 - 8*b**2 - 97 - 79 - 8*b + 59 - 198 wrt b.\nAnswer: -16*b - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05851 - -0.15851. Which is the closest to -4\/7? (a) 1\/2 (b) i (c) 10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s. Let a = -12 - -18. Let y(d) = 6 - 2*d**2 - a. Determine y(k(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y + 2*y - 3*y)*(-11*y - 4*y**2 + 23*y**2 - 22*y**2).\nAnswer: -21*y**3 - 77*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44926001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 2*b + 4*b + (0 - 1 - 1)*(0 + 0 - 2*b) - 62*b - 18*b + 0*b + b - b + 2*b + 14*b + 22*b - 47*b + (4 + 0 - 3)*(2 - 2 + 3*b) to d + r*b and give r.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g. Let z = 3 - g. Suppose 0*l + 105 = 5*u + 2*l, -3*u - z*l = -72. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*-3*-3 - sqrt(121) - 4*(2*sqrt(121) + sqrt(121)))\/((sqrt(1100) + sqrt(1100)*-2)\/((-1*sqrt(400) - sqrt(4)) + sqrt(4))))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.069161629 and 877.4.\nAnswer: 877.330838371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/45 and -149\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.072? (a) 5 (b) 19.2 (c) -2.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 45520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 a when three letters picked without replacement from {n: 4, a: 3, c: 2, p: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30099998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {s: 2, e: 3, c: 2, l: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Let a = 2 + 3. Let w be a\/7 - (-4)\/14. Let x(l) be the second derivative of l**4\/6 - l**2\/2 - 20095*l. What is w*x(b) + 2*d(b)?\nAnswer: 2*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 563174, 3, -10 in descending order.\nAnswer: 563174, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -9, -3*w + 15 - 2 = 2*x. Calculate the remainder when (42\/(-5))\/((-8)\/20) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-18))\/((-2)\/(-753)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49 + -36?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 242*s - 245*s - 15 = 0, c + 5*s = -1 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-11)\/x*x**(-6\/13)*(x*x**(-2\/31))\/x*x**3 assuming x is positive.\nAnswer: x**(-3839\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -14*r**2 + 5*r + 2. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1)**7 assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1688)\/633*3\/(-22)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 706, 1403, 2102, 2803?\nAnswer: 3506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21795?\nAnswer: 3, 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 8488572\nAnswer: 1\/2829524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 15 = -21. What is the first derivative of -42*j**w + 395 - 165 - 168 wrt j?\nAnswer: -84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 4*j**2 - 2*j - 5. Let z be (-28)\/(-6)*(-120)\/(-140). Let h(g) = -g**2 - 1. Calculate z*h(d) - q(d).\nAnswer: -d**3 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:30 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 55. Let l be (-10)\/(-55) + (-3934)\/o. Let h = l - 108. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t - 3*t - 3*t)*(17*t - 31 - 12*t - 2*t) to u*t + q*t**2 + m and give u.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*c = 16, 0 = 4*t + 4*c - 1 - 7. Suppose 4*v + t*m + 33 = 0, 2 = -2*m - 8. List the prime factors of (-96)\/2*v\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 737928*c**2 + 738244*c**2.\nAnswer: 316*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = 5*f, -4 = -0*l - 4*l - f. Factor -1\/3 + 1\/3*z**2 + l*z.\nAnswer: (z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 691, 730, 769, 808, 847?\n\"Answer: 39*a + 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 296*k**2 + 10075*k + 404. What is r(-34)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 131122233 (base 4) in base 13?\nAnswer: 42acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4753*p**3 + 21*p - 4751*p**3 - 29*p.\nAnswer: 2*p**3 - 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*j**3 - 50\/7*j**2 + 332\/7*j - 480\/7 = 0. Calculate j.\nAnswer: 2, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -23, -38, -57, -80?\n\"Answer: -2*l**2 - 5*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -aff5fc (base 16) in base 4?\nAnswer: -223333113330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000705598221 to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyx when three letters picked without replacement from ybxyyyyyyyy?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*a = -3*a + 12, -4*i - 3*a - 14 = 0. Let g = i - 0. Let r(u) = -9*u**3 - u**2 - 2*u. Let x(j) = 4*j**3 + j. Calculate g*x(q) - 2*r(q).\nAnswer: -2*q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**3 + 3*z**2 + 2*z - 3. Let h(m) = 9*m**3 + 4*m**2 + 2*m - 4. Calculate -4*a(f) + 3*h(f).\nAnswer: -9*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01313614431185 + 6.4.\nAnswer: 6.38686385568815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + z**3 - z + 203 + 70 + 10466*z**2 - 10472*z**2 - 42 in the form u*z**2 + n*z**4 + k*z + h + s*z**3 and give h.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17110 and 913910?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*u**2 + 24*u**2 - 177*u**2 as a*u + r*u**2 + m and give r.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1641 or -1642?\nAnswer: -1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1386 times -0.072?\nAnswer: 0.0099792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2898 + -2842. What is the highest common factor of 848 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t**2 - 11*t. Let h(a) = 10*a**2 - 21*a. Calculate -3*h(m) + 5*z(m).\nAnswer: -5*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 8*g**2 - 3*g + 5. Suppose 5*c = 14 + 16. Let a be d(c). Find the common denominator of 59\/20 and a\/(-3)*(-1)\/(-6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2514000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -1)*2\/(-3) - (-41 + 38)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1101130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (63\/12)\/(9\/48). What is the highest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-1))\/18)\/((-5)\/(-40)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19643 + 10107. Round c to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6473362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + (-8)\/18. What is the nearest to 0.1 in -0.2, o, -0.1, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a + 3*a - 4*a + 0*a - 5*a + a + (0 + 2 - 4)*(3 + a - 3).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100763 is divided by 629?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkff when four letters picked without replacement from kfyk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1311953463 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from fxxffffqfqqbxfxfffbx.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 11 = 2251*o - 2250*o, 9*o + 279 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {p: 2, m: 1, w: 1, s: 3, c: 5, a: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*q - 3*l, l = -4*q - q + 117. Suppose 3*s + h = q - 0, 2*s - 8 = 2*h. Suppose -4*x - 39 = -s*x. Calculate the remainder when x is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i + 72 = -3*l, 4*i + 3*l = 48. Suppose 4*v - 153 = i. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*u - 4039 = 54*u - 6934. Let b(r) = -4*r - 1. Let f be b(-5). Suppose -4*h + 139 - f = 0. Calculate the greatest common factor of u and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 1440*r - 1437.\nAnswer: -3*(r - 479)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-21)*(-39865)\/41004?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.959 - 0.041. Which is the closest to g? (a) -4 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 334 - 211. Suppose 140*w - f*w = 17. Solve 0 = -2*z + w - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3363 is divided by 177.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let n(y) = -5*y**3 + 3*y**2 - y. Determine -6*g(r) - 2*n(r).\nAnswer: 10*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4964 (base 14) to base 11\nAnswer: -9702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -175\/613 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-4)*(-26 - -12). Let v = -57 - k. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -25, -109, -279, -565, -997, -1605?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 70, -1\/3, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 18\/5 of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Let a(x) = c*x**2 + 0*x**2 + x**2 + 3 + 4*x. List the prime factors of a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 11 = -5*o, 7*p - 4*o = 2*p + 24. Find the common denominator of (-9)\/(-2)*(-29)\/15 and ((-164)\/(-100))\/(p\/(-5)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14427 (base 12) to base 13.\nAnswer: cb26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50661\/(-1299)*(-5)\/(-13)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 47*b**3 + 6*b**2.\nAnswer: -47*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*f**3*l**4 - 133064*f**3*l**2 - f**3 + 6070932 with respect to l.\nAnswer: -348*f**3*l**3 - 266128*f**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 8*f - 8556. List the prime factors of f.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/4*(-1372)\/35. Let z = x - 69. Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c04041 (base 13) in base 6?\nAnswer: -1222332555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 41*i**3 - 2*i**2 + i. Let f be u(1). Suppose -k - k = -f. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101011001111010 (base 2) to base 14.\nAnswer: b944a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 13736067?\nAnswer: 13736065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2655 = -149*v - 867 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = 3*n. Suppose 2*h = -2*b + 3 + 3, 2*h - n*b = -15. Which is bigger: -10\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305970118 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 37942 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*d = 53, 6 = -d + 1. Let s(y) = y**2 - 8*y + 17. Calculate the remainder when s(q) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + ((4*1*sqrt(76))\/sqrt(4) - (5 + sqrt(2736) + sqrt(2736) + sqrt(2736) + -4 - sqrt(2736) - sqrt(2736)))**2.\nAnswer: 16*sqrt(19) + 1214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -572 + 1018. Suppose z = 5*z - 20, -z = 3*i - d. Suppose -3*v + 48 = -i. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17379831 to the nearest integer?\nAnswer: 4169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3972\/179 equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00992 to four dps.\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496049266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14098065 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c + 1951. Does 12 divide o(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 90*o + 38. Is 9 a factor of c(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40218, -80409, -120594, -160779, -200970, -241173, -281394?\nAnswer: -321639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 18*c = 72. Let l be (-17)\/(-51) - -5*(-3)\/c. Solve b - l*b = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 19170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-202)\/(-42) - 5)\/(10 + (-31)\/3). What is the second biggest value in -3, 1, q, -1, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1344051299 to the nearest integer?\nAnswer: 36661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (27 - 14)) + -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 18 - 4*q**2 - 26.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -84.815 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2316 or 2318?\nAnswer: 2318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 5:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -91628645318 less than -507?\nAnswer: 91628644811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(72) + -2 + sqrt(72))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 31 = -46. Let i(m) be the first derivative of m**4\/4 + 5*m**3\/3 - m**2 + 5*m - 1. Is 4 a factor of i(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00469211688 rounded to six decimal places?\nAnswer: 0.004692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 - 182*n - 1 + 193*n + 1 in the form z*n**2 + c*n + m and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1340\/(-8))\/((-2)\/60). Let m = -50089\/10 + b. Let f = -158\/5 + m. Calculate the common denominator of 101\/4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -42. Which is the closest to p? (a) 9 (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24886 - 25893.1. Let p = g + 1052. Round p to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2. Let v(c) = -11*c - 366. What is w(v(t))?\nAnswer: -363*t**2 - 24156*t - 401868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z**2 - 6*z. Let a = -277 - -41. Let x be a\/2 - ((10 - 19) + 12). Let q(c) = 341*c**2 + 121*c. Calculate x*y(k) - 6*q(k).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3678.2623 to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**5 + u**5 + 2*u**5 + (-u - 4*u + 6*u)*(-u**2 + u**2 - u**4) + 2*u**5 + 2*u**5 - 7*u**5 + 2 - 4*u**5 + 13*u**5 - 3.\nAnswer: 3*u**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/9 - 2252410*p**2\/9 - 4504828*p\/9 = 0. Calculate p.\nAnswer: -2, 0, 1126207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415 + 414. Which is the third smallest value? (a) 0.07 (b) m (c) 5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292236103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -208707, -208705, -208703, -208701?\n\"Answer: 2*d - 208709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541509.\nAnswer: 3, 180503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + -2 + -5 + sqrt(176) + (1*sqrt(121))\/sqrt(11) + -4)**2.\nAnswer: -144*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 13936.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1. Let u(r) = -2*r**2 - 15*r - 1. Let i(g) = -g**2 - 7*g. Let v(l) = -5*i(l) + 2*u(l). Let f(h) = 4*s(h) - v(h). Give f(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/7601 - 273598\/144419. What is the common denominator of -43\/3 and y?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 1. Suppose -4*r - 3*h = -10, 0*r + 3*h = -3*r + 9. Let w be 10 - r\/(-2)*2. Let n = -16 + w. Determine u(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9234901 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 248 - 12*n**2 - 248 as a*n + w*n**2 + i and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.259391 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8177712 decades?\nAnswer: 98.132544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 149*b**2 - 11*b + 3. Let f(u) = 142*u**2 - 11*u + 3. Let g(x) = 2*f(x) - 3*i(x). Find the second derivative of g(m) wrt m.\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 - 5302*j**3 + 2*j**2 - 30*j?\nAnswer: -120*j**2 - 31812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*p - 320*p + 442 = r - 243, 3*r = 3*p - 111 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 845, 5, 0.01?\nAnswer: 845","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 102*x.\nAnswer: 3*x*(x - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 6 = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 855 and 60268779?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*o - 58, -2*o = -2*u - 5 - 17. Suppose -3 - o = -3*v. Suppose -3*s = -v*g + 5045 + 6605, 6979 = 3*g - 4*s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + sqrt(320)*-2 + sqrt(320))**2 - (sqrt(125) + -1)*-5) + -2.\nAnswer: 73*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*n - 0. Find the third derivative of -n*y**2 - y**5 + 6*y**5 - 6*y**5 wrt y.\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 234, 2 in decreasing order.\nAnswer: 234, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*k - 61 = 0, -5*s + 2 = 5*k - 158. Suppose 0 = 2*z - s - 65. Calculate the highest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, m: 5}. What is prob of sequence qq?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-5)*(3 - 6). Put -3\/2, r, -0.13 in ascending order.\nAnswer: -3\/2, r, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 77*n**4\/4 - 2*n**3\/3 + 30*n**2 + 17*n + 2. Is x(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27976560 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*c*h**2*o**2 + 6*c*h*o**2 - 2*c*h*o - 13*c*h - h**2*o - 4*h*o wrt o?\nAnswer: -602*c*h**2 + 12*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.358875 years to decades.\nAnswer: 0.3358875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13085 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 238 - 118 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5008.257 years in millennia?\nAnswer: 5.008257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + i - 1. Let w(x) = 20*x**3 + 6*x**2 + 4*x - 5. Let a(p) = -5*t(p) + w(p). Let n be a(1). Solve 7*q - 2*q - n = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 58 = -10*k. Let g be (3\/14)\/(3\/(-4)). Which is the nearest to g? (a) -1\/7 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*k + 6 = -13, 10 = -5*k. Let t = -36.8 + 36.1. Let f = -1 + 0. Put g, t, f in descending order.\nAnswer: g, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 20, 4, 13 in descending order.\nAnswer: 20, 13, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 8 - 548*b**4 - 140*b**2 + 547*b**4 to y*b**4 + d*b + q*b**3 + x + u*b**2 and give u.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 12*x = u - 18, -2*x = 2*u + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 5*c**2 - 7*c + 2. Let s = -43 + 49. Determine d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 2*a**2 + 6*a + 4. Let u be c(-4). Let n(g) = 25*g - 3. Let m be n(-4). Let j = m - u. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (2 - 0)\/(-1). Suppose 0*q = -t*w - 2*q - 2, 2*q = 4*w + 26. Let n = -12 + 6. Is w smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(20)\/sqrt(2))*3.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 13 = -4*h, 4*p - 67*h + 66*h + 19 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vii when three letters picked without replacement from {v: 1, x: 2, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t**2 - 2*t + 1. Suppose -11*z = 5*i - 10*z, 4*z + 18 = -2*i. Give x(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.65 - 96.\nAnswer: -106.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**2 + 356. Let y(g) = -18*g**2. Determine k(y(u)).\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -0.38. Let r = 2.67 + o. What is the nearest to 0.1 in 1\/3, 5, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 84. Let r be m(27). Suppose 10*d - r = -45. Let j = 0 + 12. What is the highest common divisor of j and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*r + 1122 = 0, 573 = c - 0*c - 2*r. Suppose -u = 5*d - 710, d - u = 5*d - c. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*y + 8026132 - 8027057 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725212047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -109 divided by -579250\nAnswer: 109\/579250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 21*f**2 + 3510*f + 480. Calculate o(-167).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -11. Let t(w) = -w**3 - 7*w**2 - 2*w - 11. Let h be t(-7). Let r(c) = 3 - c**2 - 1 - 21*c**h + 22*c**3. What is r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 5:30 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -175 (c) -3.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k - 200 = -13*k - 64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-315)\/70)\/(0 - 6\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 181*c - 175*c. What is the remainder when c is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(1\/2)))\/y**(-4\/5)*y**(2\/5)\/y**(-4)*(y**0)**(-42)\/(y**(-1\/6)\/(y\/y**0)) assuming y is positive.\nAnswer: y**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -743 (base 8) to base 11.\nAnswer: -3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 30*u**2 + 484*u + 66. What is f(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -362*q + 358*q = -8. Suppose 2 = -9*w + 7*w - 2*n, q*w + 4*n + 10 = 0. Solve 0 = -w*f - 0 + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/675, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/19)*t**(3\/29) assuming t is positive.\nAnswer: t**(-1\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 310, 2\/19, -3\/5, 1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*m - 2*j + 11, 4*j + 20 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 * 0.72\nAnswer: 9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 10. Suppose -3*m + 39 = -138. Let o = -59 + m. What is g(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:59 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/19 (b) 0.5 (c) 1 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505 = 6*v + 487. Solve 7*x + 5 = -v*y + 3*x, 2*x = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-510))\/(8\/(-120))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 6*g - 125. Let r be s(11). Solve 4 = -r*a + 60*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -78*i**2 - 1. Let v(l) = 624*l**2 + 5*l + 6. Let d(y) = 1118*y**2 + 9*y + 11. Let s(o) = 5*d(o) - 9*v(o). Calculate z(s(g)).\nAnswer: -52728*g**4 + 4056*g**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/236, 24, 52?\nAnswer: -9\/236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 + -65.36. What is w rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 531067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3\/(-12)*6. Let x(w) be the third derivative of -w**6\/40 + w**5\/12 + w**4\/8 + w**3\/2 + 25*w**2. Is x(m) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1453 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -106915 and 65.02839.\nAnswer: -106849.97161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*(sqrt(7) + -1)*1)**2.\nAnswer: -50*sqrt(7) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/13)*a*a)**2 assuming a is positive.\nAnswer: a**(74\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 + 0*y**4 - 2*y**4)*((-2 + 3 + 0)*(1 + 2*y - 1) - 3 + 3 - 3*y - 5 + 5 + 5*y).\nAnswer: -4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 8:59 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7193*d - 8273*d + 263*d - 1402*d + 180*d as r + v*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 9*b = 4*b + 98, 13 = -2636*p + 2641*p + 2*b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5013931\/15030 - 29951\/90. Let p = q + -1\/167. Let j = -6.5 - -7. Which is the third biggest value? (a) j (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 1059 = b + h, -b = -h - 1069. Suppose -38*d + 4*d = 64*d - 5488. Calculate the highest common divisor of b and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:39 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 6*u**2 + 7*u + 2. Let y be s(-7). Suppose -p + 2*i + 6 = 0, 0*p - 5*p + y = 4*i. Which is greater: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 3:53 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.8 - -9.3. Sort a, 8, 3, -0.4 in ascending order.\nAnswer: -0.4, a, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 46, -3, -9 in decreasing order.\nAnswer: 46, -3, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1 (base 15) in base 6?\nAnswer: -1424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 12*o**2 + 12*o + 4. Let l be g(13). Let p be l\/(-3) - -3 - 3. Solve -2*x + 3 + 1 = -4*y, -p*x = -2*y - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -1\/16*o**4 - 3\/2*o**2 - 2*o - 1\/2*o**3 - 29. Solve v(h) = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-76)\/6)*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6501950 divided by 928850.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 217 (b) 0.5 (c) 4 (d) 0.6 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(3*(-1)\/(-36))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1368*c + 1413 - 11089 - 46412 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3161, -11370, -24919, -43802, -68013, -97546, -132395?\n\"Answer: g**3 - 2676*g**2 - 188*g - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w - 9. Let b(u) = u - 5. Let a(c) = -7*b(c) + 3*t(c). Suppose 64*r + 252 = 22*r. Calculate a(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**7\/5040 + u**6\/144 + u**5\/30 + 2*u**2. Let z(c) be the third derivative of t(c). Calculate z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*n = 25, -4*z + 2*n = -3*n - 29. Let m(l) = 28*l - 3. Let f(d) = -28*d + 4. Let y(j) = z*f(j) + 8*m(j). Let i(p) = -2*p**2. Determine i(y(s)).\nAnswer: -6272*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:59 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2877907837 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 - 4*g**2 + 4*g**2 + (-3*g + 3*g + 2*g**3)*(4 - 2 - 1) + (69*g - 907*g + 489*g)*(-g**2 + 0*g**2 + 2*g**2).\nAnswer: -351*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-6) - 2)\/((-2)\/(-3)). Put -2\/9, -12, o in increasing order.\nAnswer: -12, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 - 230*j**3 + 3165*j**2 - 10600*j - 14000.\nAnswer: 5*(j - 20)**2*(j - 7)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.11958 (b) -5\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 234522 (base 7) to base 9\nAnswer: 64206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -2 + (-3 - -2). Let d be -5 + 0 - (m + 0). What is the tens digit of 4 + (d - -3) + 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4845 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 246*j**2 + 8*j + 7. Let g be d(-1). Let t = g - -19. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85919 at most as big as 85919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3.1. Let c = -2 - -1. Let d be 8\/(-24) + 7\/(-15). Sort c, d, v in ascending order.\nAnswer: c, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*1 + 210\/(-42). Solve 2*p - o*p + 2*u = 0, -3*p + 4*u - 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3\/3 - 7907240*s**2 - 23721705*s.\nAnswer: -5*s*(s + 3)*(s + 4744341)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*y - 5*y**2 - 442*y - 4*y**2.\nAnswer: -9*y**2 - 320*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/21)\/g)\/(g*g**8))**(-4\/37)\/((g*g**1\/g*g*g)**30*(g*g**(1\/12)\/g)\/(g**4*g)) assuming g is positive.\nAnswer: g**(-261047\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*2\/(-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2 + (-3 - 7 + 4)*(-1 - 2 + 0))*(3*o + 2*o - 3*o)*(-3*o**2 + 3*o - 3*o) to the form f*o**3 + l*o**2 + w + d*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4344 or -4333?\nAnswer: -4333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -2\/11, -1\/10, 3, 1\/10 in decreasing order.\nAnswer: 3, 1\/10, 2\/25, -1\/10, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 - -3) + (1 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 43 - ((-4)\/4 + -1). Suppose -48 - 312 = -8*m. Calculate the highest common divisor of j and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.84 + 0.83. Let t = p + 2.81. Which is the third smallest value? (a) -0.3 (b) t (c) 196\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**3 + 19542*t**2 + 19533*t - 39078 = 0. What is t?\nAnswer: -6513, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/627 - -1\/19. Let s(r) be the second derivative of -i*r**4 + 0 - 6*r + 0*r**2 + 1\/110*r**5 + 4\/33*r**3. Let s(o) = 0. Calculate o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 2*x + x + x - 4*x + 0*x + 0*x + 2*x + 0*x + 3*x + 3*x - 5*x + (-5 + 3 + 1)*(x - x - 2*x) + x + 2*x - 5*x + 32 + 6*x - 32.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3185 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-342)\/1254 + (-406)\/(-440). Let h = 9 - 8. Are h and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 7*b**2 - 6*b. Let h be ((-6)\/(-4))\/(6\/(-8)). Let q be h + (-2 + -6)*-1. Let o be j(q). Solve o = p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**4 - 15 + b**3 + 11 + 6 to the form v*b**2 + u*b + q*b**4 + y + s*b**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {i: 1, f: 10, m: 3, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 26060*o + 417049. Suppose 0 = -u - u + 98. What is the remainder when r(-16) is divided by u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 13*o + 101. Determine d(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h**2 - 111*h - 299. Let p be w(-3). Solve -186 = -p*f + 48*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.258419, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/15)\/(-1))\/((-7)\/(-21)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/5 (b) 0.2 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 416*j**3 + 9*j**3 + 399*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/9)*u**12*u)**(-47) assuming u is positive.\nAnswer: u**(-5546\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -16.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170943 and 153677757.\nAnswer: 153677757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1453342.5 nanoseconds to days.\nAnswer: 0.00000001682109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-930)\/(-248))\/((-9)\/(-21576)). Calculate the highest common divisor of m and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:05 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937 is divided by 277.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 s when four letters picked without replacement from {s: 5, p: 2, w: 4, v: 2}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1867077678.\nAnswer: 2, 3, 4007, 77659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3.7. Let u = f - -0.4. Let p = -0.8 - -1.8. Which is the nearest to p? (a) -1 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/192 - 2\/(-8). Let t = 0 - 0.2. Put -4, b, t in decreasing order.\nAnswer: b, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + -4 + 1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = l - 16, 0 = -3*t + 2*l + 13. Let m(g) = g. Let u be m(t). Suppose u*z - 506 = -5*d + 84, 0 = z - 5*d - 124. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 7178 = -8147. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -15, 0, 1.\nAnswer: -15, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 11430*g**2 - 11563*g**2 + 4 + 2*g. Let j(h) = 3*h. What is j(f(d))?\nAnswer: -399*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 10*q - 8. Suppose -88*r + 90 = -79*r. Determine f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-546))\/(2\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 3. Let x be v(-5). Differentiate 3*h + x*h + 5 - 5*h - h with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 46 in decreasing order.\nAnswer: 46, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*j - 0*j. Let a be (-6)\/(-76)*((-6)\/90)\/(6\/(-120)). Let 0 + 8\/19*r**3 - 8\/19*r + 2\/19*r**4 - a*r**j = 0. Calculate r.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + 1*sqrt(2160) - sqrt(15))\/sqrt(3) + -5 + -5)**2.\nAnswer: -240*sqrt(5) + 820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 511 - 510.94. Which is the closest to p? (a) -3\/5 (b) 0.1 (c) -0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -1 + 8 + -6. Let i(w) = -3 - 3 - w + 7. Calculate i(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26556971281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -282, -39, 6, -8.\nAnswer: -282, -39, -8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + l - 3024 = 0, -52*t + 51*t = 5*l - 3012. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 164 + 2*l**2 + 2*l - 2*l.\nAnswer: 2*l**2 - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*w**3 + 639*w**2 - 5304*w.\nAnswer: -66*w + 1278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0 + (-4*f + 5*f + 0*f)*(0 + 1 - 2))*(-f**3 - 2*f**3 + 4*f**3).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*j**3*k*y + 6*j**3 + j**2*k**2 - 7*j*k**2*y + 10*k with respect to y.\nAnswer: 5*j**3*k - 7*j*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.79 + -15.2. Let a = -0.71 - n. What is the second biggest value in a, 2\/5, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Let s(w) = -2*w**3 - 2*w**2 - 2*w - 1. Let p be s(-1). Let j(m) = 197 - 571 + 190 - 5*m**2 + 190. Give p*j(n) + 6*l(n).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 81 - 75. Suppose -k*s = -3*c - 2177 - 2119, c = 5*s - 7152. Let o = -849 + s. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36440420201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1235477, 4, -29 in decreasing order.\nAnswer: 1235477, 4, 3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((3 - ((8 - 4) + -8)) + -11 + -10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146634 bigger than 146633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 1017*k + 4068. Calculate q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -68876 divided by -17219\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + 111206?\nAnswer: 111231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -438*u + 482*u - 22220. What are the prime factors of u?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(6\/5)\/v*v\/((v\/(v**11*v*v))\/v))**(-3\/13)*(v*v**(-2\/15)*v)\/v*v*v**(-1\/2)*(((v\/v**3*v*v)\/v)\/v)\/v*v*v*v*v**(-1\/10)*v assuming v is positive.\nAnswer: v**(-197\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20012640 divided by -173?\nAnswer: -115680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149 + -93. Let t = o + -101. What is the units digit of 32\/(-3)*t\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1087\/11957*(-33)\/114.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*n - 3481 + 3566 = 0, -5*n = q + 111 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120133 + 0?\nAnswer: 120133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-4))\/(3\/(-210)). Let n be ((-20)\/w)\/(2\/(-5)). Which is the second biggest value? (a) n (b) 3\/2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.5 (c) 3 (d) -1\/104810 (e) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -14*u - 37*u - 45*u - 103. Let n(s) = -95*s - 102. Let r(t) = -5*m(t) + 6*n(t). Find the first derivative of r(f) wrt f.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -164*d**2 - 174*d**2 + 4*d + 10 + 0*d + 337*d**2. Let p(o) = 2*o + 5. Determine -2*n(z) + 5*p(z).\nAnswer: 2*z**2 + 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2925, 5856, 8793, 11736?\n\"Answer: 3*p**2 + 2922*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 56742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*b**3*r*t**2 - b**3 - 545482*b**2*r*t + 8190*r*t**2 + 2*r*t wrt t.\nAnswer: 108*b**3*r + 16380*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 535*v - 535*v + 2*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((34\/15)\/17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 0)*(0 + 3 - 1) - 2 - 1 - 1)*(-1403 + 806 + 4540*y + 597 + 2624*y) to i + f*y and give f.\nAnswer: -14328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 5*l - 5, -1 = 2*a + 3*l + 1. Let o(m) = -839999*m + 1. Let k be o(a). What is k rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - l + 3. Let u be y(0). Suppose -u*a - 351 = -0*a. Let p be a*(1 + -2)*1. What is the greatest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -447, -1583, -3813, -7503, -13019?\n\"Answer: -61*r**3 + 2*r**2 + 13*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 + 265 = 2*p, 0 = -y + 4*p + 1730. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 15*c + 55. Let j be z(3). Let g(k) = -2*k**3 + k. Let m(v) = 1. Let h(f) = -f + 3. Let w(b) = -h(b) + 3*m(b). Give j*w(l) - g(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 250.197 millennia?\nAnswer: 2501.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2825*n**3 + 16*n**2 + 136397*n wrt n?\nAnswer: 16950*n + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-8))\/((-21)\/81). Let j = -1920083\/28 - -68583. Let i = j + k. Find the common denominator of i and -65\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -7*a + 7440. Suppose -13*c = a - 4309. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + 0*o)*(-3*o**3 - 2*o**3 + 2*o**3 + (4 - 4 - 2*o**3)*(-2 + 0 + 0) + (3*o**2 - 4*o**2 + 2*o**2)*(2*o - 5*o + 4*o) + o**3 + 4 - 4).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 76 (c) 3 (d) 2 (e) 198 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 - ((-5)\/(-5) + -4). Suppose 6*h - 5*j = 3*h + 8, q*h - 3 = -j. Put 4, -5, h, 5 in decreasing order.\nAnswer: 5, 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2982, -8323, -13668, -19017, -24370?\nAnswer: -29727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggrgrgrrgggrg. Give prob of picking 4 g.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2 = -2*u + 3*u, 0 = 5*g + 3*u - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.73651 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1b25 (base 13) to base 4\nAnswer: 333313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 10*n**2 - 9*n - 6. Suppose 24 + 14 = 2*t + 4*g, 3*t + 3*g = 42. Calculate o(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/9 (b) 0.2 (c) -5.1 (d) -4\/3 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (210\/28)\/(-1 + -1) and 109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8183*h**5*t - h**5 + h**2*t + 3831*h**2 - 2*h*t + 2*h wrt h?\nAnswer: -490980*h**2*t - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -4 (c) 2\/11 (d) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. Let j be 36\/(-15)*2\/f. Factor -6\/5*w**2 - j*w**3 - 2\/5*w**4 - 2\/5*w + 0.\nAnswer: -2*w*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1796 = -4*v, -3*v - 6*w = -w - 1351. What are the prime factors of v?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:44 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h + 2. Let l be j(3). Let b be (-1)\/4 - 13\/l. Let r be 3 - (-4 + (2 - -3)). Solve -2*k + 9 + b = -4*i, -2*k = -r*i - 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 30*p + 577 = 33*p, 0 = 5*k - p + 1449. Let h = -288 - k. Solve -h*s + 2 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + r + 6395, -2122 = -4*c + 2*r + 3000. Suppose c = -2*w + 8*w. List the prime factors of w.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20182157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + h + 53. Calculate q(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3 + (-51)\/18). Let f = k + 9. Suppose 26 + 31 = 2*s + 3*w, -15 = -f*w. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3920*z**2 - 12719*z.\nAnswer: 7840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 13*f + 0*f**2 - 43 - 48 - 56 + 37.\nAnswer: -4*f**2 + 13*f - 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 486 = -16*p. Let g = 34 - 17. Suppose p*s - 49 = g*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 10:07 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p + 3*p + 6*p)*(-589 + 28 - 476 - 79 + 35).\nAnswer: -21620*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from {b: 6, j: 2, m: 7}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 696 (b) 8 (c) -2\/15 (d) -2\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 1 + 7. Let n(a) = -21*a - 87. Let p be n(-5). Solve -u = -d*l + 3, -2*u - 5*l = -3 + p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/35 - (-18)\/7. Let x(b) = 3*b + 2. Let y(s) = -3*s - 4. Let h(p) = -4*x(p) - 3*y(p). What is h(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/3 - 483220*u - 1449662\/3 = 0. Calculate u.\nAnswer: -1, 724831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*r + 18, 4*r - 27 = r - 3*y. Let v be (1\/18)\/(3\/r). What is the smallest value in -2, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4749349 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 12, w: 2, r: 4}. What is prob of picking 1 r, 1 x, and 1 q?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 11*r**2 + 2*r + 20. Give u(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (3 + -14)) + (-41 + 16 - -45)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58005 is divided by 57769.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 1 - (-259 - -280)) + 17\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20277 < -20299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.15 + 1.05. Let u = 16.7 + -18. Let w = u + 0.3. Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 28 = 2*g, g = 5*k + 2*g - 16. Solve -3*x + 3 + 16 = 4*j, k*j - 14 = 2*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -526342, -1052665, -1578990, -2105317, -2631646?\nAnswer: -3157977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eie.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 353232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-3))\/(10\/45). Suppose 4*i = 9 + k. Suppose -2*h + 3*h = 3. Solve i = t + h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**5 + 9*r**4 + 23*r**3 - 9*r**2 - 108*r - 108 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 0*w - 5\/3*w**2 + 5\/9*w**3 + 5. Factor k(h).\nAnswer: 5*h*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 0*n**2 - n**2)*(8 - 7 + 13)*(-4 + 6 - 11)*(5 - 4 - 3).\nAnswer: 504*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6413 less than -3.6?\nAnswer: -0.9587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -259700 divided by -371?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2130 + 59*p - 2130)*(-3*p + p + 6*p) + 0*p**2 + p**2 + 0*p**2 + (-4 - 1 + 6)*(-2*p + 2*p + p**2).\nAnswer: 238*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:39 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2091)\/153*6\/(-56) + 2\/7?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymn when three letters picked without replacement from {y: 3, o: 2, f: 3, m: 1, n: 1, q: 2}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 587819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*u - 28 = 2*y, -4*u = 20. Put -4, -2, y in ascending order.\nAnswer: y, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1159 and 1158 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 g when four letters picked without replacement from hgppgpzphgppgppppzpg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/60*8\/(-14)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44185*l + 62057*l - 173999*l - 227823*l.\nAnswer: -295580*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**4 + 30085*c**3 + 210800*c**2 + 241040*c - 481920 = 0. Calculate c.\nAnswer: -4, 1, 6024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125230 + -22?\nAnswer: 125204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, o: 10}. Give prob of picking 1 m and 1 o.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 1) + 92 + (-27 - 34).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q**4 - 3660*q**3 + 101*q - 2171 wrt q?\nAnswer: 108*q**2 - 21960*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**19\/(l\/(l*l\/(l\/(l*l**(4\/3))))))\/(l**(-8)*l**19) assuming l is positive.\nAnswer: l**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -25822767?\nAnswer: 2582276c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1788211ml in litres?\nAnswer: 0.0001788211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v + 4. Let d(w) = -w - 1. Let n = -25 - -24. What is n*h(r) - 5*d(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 115*z - 4604. Let n be m(40). Put 5, 807, n, -2 in descending order.\nAnswer: 807, 5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 7:39 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -4*u**3\/3 - 8*u**2 - 16*u - 2. Factor p(n).\nAnswer: -4*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, u: 3, f: 6, s: 1, h: 1, y: 5}. What is prob of sequence yuyh?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131778*i - 131795*i - 187 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/6831 and -44\/13887?\nAnswer: 10540233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613336 = 3*a - 4*w - 38513, w - 1086392 = -5*a. Suppose 269988 = -3*k + 4*g, -2*g - 667285 = 5*k - a. Round k to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 - 12*z**2 + 11*z - 14. Calculate j(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*x**5 + 20*x**5 - 7*x**5 + (10*x**2 - 13*x**2 - 103*x**2)*(-x**2 + x**2 + x**3).\nAnswer: -134*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14306738641 - 14306738641 + 8*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:00 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23*5 + -37 + 39. Is l at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 28657.\nAnswer: -5\/28657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/4 - 103331*t\/4 + 654189\/2.\nAnswer: (t - 34431)*(3*t - 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233 + 24\/(-32) + 105\/(-20).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 89 = -5*r, -14*j + 9*j + 137 = 3*r. Put -5, j, -2, 4 in ascending order.\nAnswer: -5, -2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + -730?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/5 of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9230000 = 13*a - 0*a. What is a rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -5*k**7\/42 - 413*k**5\/10 - 1271*k**3\/3 - k**2\/2 + 2554*k. Find the second derivative of m(u) wrt u.\nAnswer: -100*u**3 - 4956*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 3348\/24073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54506 (base 10) to base 15.\nAnswer: 1123b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 103*u - 130. Give h(50).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*15\/(23100\/20).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5012 - -16606. Suppose -5*m = m - c. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-15) - 3\/(27\/(-48)). Suppose 1 = p - u. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b - 15a5d?\nAnswer: -15a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2407\/(-3480) - 48\/128?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6219655 and 1720615?\nAnswer: 6695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/9 - 64474*v\/9 + 128924\/3 = 0. What is v?\nAnswer: 6, 32231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/10 + 2*v**4\/3 + 5*v**3\/3 + 2*v**2 - v. Let b(t) = 0. What is t?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259246?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1423093642 to the nearest integer?\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xua when three letters picked without replacement from axcccbcuc.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2020888, 2020896, 2020916, 2020954, 2021016?\n\"Answer: c**3 + c + 2020886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11111101101?\nAnswer: -11111110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**3 + 3*s**2 + 46*s + 6. Let l(q) = -12*q**3 - 8*q**2 - 91*q - 15. Determine -2*l(g) - 5*o(g).\nAnswer: -6*g**3 + g**2 - 48*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882.043050262 plus -5?\nAnswer: 1877.043050262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11993.508 - -11992. What is n rounded to 2 decimal places?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**2 + 10*g + 3. Let d(a) = 2*a**2 - 3*a - 1. Determine -11*d(i) - 4*s(i).\nAnswer: 2*i**2 - 7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18604833*i*r**6 - i*r - i + 1585*r**2 + 5218*r wrt r?\nAnswer: 2232579960*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 times 0.5?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 267\/2937 + 57\/99*1. Find k, given that -1\/3*k**4 + 4\/3*k**2 + 8\/3*k + 0 - a*k**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213840)\/(-5508) + (-60)\/(-51).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -j + 264, 0*j = -3*j + 3*y + 801. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -18*y + 60. Calculate the highest common divisor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 6*b - 8*b - 4 = 0, -4*b + 12 = 0. Is -15\/8 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 18*z - 32*z + 62, -3*z + l + 19 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltwl when four letters picked without replacement from wtwluwtwwwwlwwww?\nAnswer: 11\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 75*u**3 + 2*u**2 + 5*u + 2. Let i be z(-2). Let a be 8\/(i\/(-1435)) + (-4)\/30. Suppose a*k = 20*k - 100. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*h + h + 19 = 0, v + 4*h = -11. Suppose -v*w - 15 = 0, -3*g - 2*w - 8 = -g. Is ((-3)\/6)\/(g\/382) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 14*z + 38. Is s(-18) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from jpjjjixiv.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 13523885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1619212921.\nAnswer: 1619212921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by 42361?\nAnswer: -85\/42361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 0*b**2 + 0*b**4 + 0 + 2*b - 1\/6*b**3 + 1\/20*b**5. What is the second derivative of a(f) wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 11) to base 15.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d - 79*d + 7*d - 7*d + 38*d.\nAnswer: -135*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.84 - -0.16. Let u = m + -3. Let x = -1613.2 - -1613. Which is the closest to 0.2? (a) x (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -4*m - 7*b, 2*m - 3*b + 67 - 72 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 4. Let h be x(-5). Suppose -2*y = -h*y - 260. Let k = y - -130. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*c + 569*c + 19074 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 250 - 2752\/11. Let l = -673\/5 + 135. What is the biggest value in l, o, 3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163436 is divided by 27235.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 56.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 651285693?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 3 - (61 - (-18 - (-59 - -11)))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 - -201. Let s(l) = -155*l - 576. Let y be s(-4). Calculate the highest common factor of y and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -438 + 144. Calculate the common denominator of 42\/m - 253\/336 and ((-3)\/(-72))\/((-1)\/47).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425721 is divided by 212838.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q - 27*q = -14*q - 23232. Calculate the remainder when q is divided by 158.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662113449 to the power of 1\/4, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 90729, 181432, 272115, 362772, 453397?\n\"Answer: -i**3 - 4*i**2 + 90722*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -230. Suppose -t = -h - 90. Calculate the remainder when h is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a - 1506299 = 30*a - 37*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6387 + 18919?\nAnswer: 25306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127653697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i + 127. Let m be x(-12). What is the greatest common factor of m and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - v + 3)*(v + 1 - 1)*(-141 + 30*v + 141) to the form q*v**2 + m + y*v + k*v**3 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2554, 5109, 7664?\n\"Answer: 2555*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(2\/3)))**(-2\/23)\/((y\/(y**(-2\/11)*y))\/y**(-8)))**(13\/3) assuming y is positive.\nAnswer: y**(-80158\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217401, -869610, -1956607, -3478380, -5434917?\nAnswer: -7826206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -30*-2.1\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9630857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -487\/5150 - -3\/206. Is x at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326051*u**3 + 3*u**2 - 22664*u + 2?\nAnswer: 1956306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 29*x**2 - 72*x - 101. Calculate n(7).\nAnswer: 473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + -1504.\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-10))\/(t\/(t\/t**(-3\/5))*t)*(t\/(t\/t**(-2\/5)*t))**(2\/31) assuming t is positive.\nAnswer: t**(-1471\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 1.3, -95.4, 3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 7*c**3\/6 - 11*c**2\/2 - 3*c + 44071. Let n(o) = 15*o + 2 - 4 - 21. Give 13*k(j) - 6*n(j).\nAnswer: j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -12, 4*b + 2 = 2*q - 18. Suppose 2*v + 0 = -q. Let s be (-1)\/(-4) - (2 + v). Is 0 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-2 - -3))\/(-1). Suppose -5*u + 2*z - 4 = -6*u, 0 = 5*u + 2*z - 4. Solve 6*b + y + 11 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + (-57 - -61) + -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -249.0527708489 and 0.4.\nAnswer: -248.6527708489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 137\/3 at most -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/(-26) + 1 + -7 - -5. Let f(o) be the third derivative of 0*o**3 + 3*o**2 + 1\/3*o**4 + 0*o + i. Let z(d) = d**2. Determine f(z(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 750 = -5*p, 746 = 5*c - 4*p. Let o = c - 147. Let b(l) = -l**2 - l - 1. Let x(k) = -2*k**2 - 8*k - 3. What is o*x(i) + 4*b(i)?\nAnswer: -2*i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**4 - 778*a**3 + 2*a**2 + 2*a + 581. Let d(z) = 4*z**4 + z**2 + z. Let g(v) = -c(v) + 2*d(v). What is the derivative of g(w) wrt w?\nAnswer: -8*w**3 + 2334*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 23 = 3*f, 4*f = -5*o - f + 75. Solve -y + o = 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304 + -247. Suppose -f*g + 94*g = 11470. Calculate the greatest common divisor of 31 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5895 and 153.\nAnswer: 100215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2)*(4 + 3 - 5)*(-45*s**3 - 804 + 804).\nAnswer: 180*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from pupyppyuulfpfu?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*(l*l**12)\/l)\/(l**6\/(l*l**(4\/9))) assuming l is positive.\nAnswer: l**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/14)\/3)\/((-44)\/88).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 2:53 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2839837 (base 10) to base 7\nAnswer: 33065260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from hwwdhwjhjjjdwhw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(18)\/sqrt(9) + 3 + (-5*sqrt(18)\/sqrt(9)*1)**2.\nAnswer: sqrt(2) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irc when three letters picked without replacement from {l: 1, c: 1, r: 1, i: 1, a: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 233845 - 65845 = 0. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 584222288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(375) + sqrt(375)))\/(5*sqrt(720)\/sqrt(9)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96659 is divided by 96616?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 39. Let w be (-80)\/p + (-3 - 140\/(-44)). Suppose -2*o = -2*k + 764, -w*k - 2*o = -k - 373. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 4:15 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 6*g + 3*g)*(-5652 - 3129 - 2806) to d + i*g and give i.\nAnswer: 34761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/20 - 7*h**2. Let v(r) = 3*r**2. Calculate v(x(d)).\nAnswer: 27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3) + 0 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 1898 - 1913 = -p, 2*c - 6 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {x: 2, i: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 9*i - 9 = 0. What is the nearest to 0.2 in 2, i, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 15 = -5*v. Let s(q) = 0*q**v + 2*q**2 - 7 - q**2 - q - 3*q. Let g(d) = -d**3 - d**2 + 5*d + 2. Let j be g(-3). What is s(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 7747?\nAnswer: 3873.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -22. Let y = 32 - p. Let w = 6 + y. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99743309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 9 - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 9:04 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 13, -1 in decreasing order.\nAnswer: 13, 8, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166673, -166675, -166677, -166679?\nAnswer: -166681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 128 + 208. Let o = w + 167. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11400787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Let o(b) = 5*b - 5. Let a(l) = 2 - 3 - 6*l + 6. Let w(j) = -3*a(j) - 4*o(j). Give w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 533\/6977 or 1?\nAnswer: 533\/6977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z + 17*z**2 - 2*z - 5*z**2 - 5*z wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.4 (c) 0.27 (d) 1151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, t: 2}. What is prob of picking 2 h?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103104, 206212, 309322, 412434, 515548, 618664, 721782?\nAnswer: 824902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3796416*t**5 - 15112656*t**4 - 14894100*t**3 + 290161*t**2 - 1868*t + 4 = 0. What is t?\nAnswer: -2, 1\/156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h, -2*q - 45*h = -50*h - 22. Let a be (-6)\/(-4)*(-4)\/(-3). Calculate the highest common divisor of q and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/63)*((j*(j\/((j**(-6\/11)\/j)\/j))\/j)\/j*j)\/j*((j*j**14)\/j)\/(j*(j**(1\/26)*j)\/j) assuming j is positive.\nAnswer: j**(279977\/18018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, k: 6, u: 6}. Give prob of sequence puu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4 + 62*r**3 + 602*r**2 + 1962*r + 1980 = 0.\nAnswer: -15, -11, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {t: 1, k: 1, z: 1, y: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Suppose -15 = -3*t + 2*x, -t - g*x = 3 + 9. Suppose -2*q = 2*z - 22, -5*z + 7 = 3*q - 24. What is the highest common factor of t and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c - 85. Let q be k(11). Suppose -2*y + q = 3*x, -14*y - 2*x - 90 = -17*y. Calculate the remainder when 65 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 14*q - 23. Let b be r(2). Suppose -3*j - 18 = -2*p, -b*p + 12 = -3*j - 15. Sort -30, -5, j, 3 in increasing order.\nAnswer: -30, -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 1563199.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 3*r**2 - 2*r + 2. Let d = -33 + 29. What is the units digit of h(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p**2 + 18*p + 9. Let h(w) = 3*w**2 + 4*w + 2. Let m(l) = -4*a(l) + 18*h(l). Let b(c) = -20*c. Calculate m(b(s)).\nAnswer: 800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2336*p + 2337*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2. Let g(w) = -12*w - 7. Let t(j) = -23*j - 13. Let s(b) = -7*g(b) + 4*t(b). Calculate y(s(r)).\nAnswer: -128*r**2 - 96*r - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9257 times -0.846?\nAnswer: -5.8591422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/23189 in -0.2, -0.4, -6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.8 - 11.80000089. What is y rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4617 + -1db?\nAnswer: 442b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2 + 4. Let t(l) be the first derivative of 2*l**2 - 2*l**s + 19 + 11*l**2 - 7*l. What is the derivative of t(r) wrt r?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 11*g + 19. Let j(y) = 4*y**2 - 11*y + 18. Let s(q) = -3*c(q) + 4*j(q). Let h be s(10). Solve 3*f - o - 3 + 19 = 0, h*o = 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -5\/4, 3, -141.3, 0.5, -4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29880 and 240?\nAnswer: 59760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {k: 2, v: 11, d: 7}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -148985 times 4\nAnswer: -595940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -17*q - 4*q**3 - 62 + 1\/2*q**2. What is the second derivative of v(l) wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -39. List the prime factors of (-12)\/18*134*6\/d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1310194, 2620388, 3930582, 5240776, 6550970, 7861164?\n\"Answer: 1310194*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 495 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 divided by -2?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31434 and 124527?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 3:10 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82446, 164889, 247332, 329775, 412218, 494661?\nAnswer: 577104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2553*t**2 - 2727*t**2 + 4353*t**2 + 7*t to the form i*t + a*t**2 + y and give a.\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 118*z - 2501 - 5331. Solve 55*n + 21 + z = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + 531 - 543 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 897 (b) 2\/11 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 16*j - 22. Let f be m(-10). Suppose -249 = -a - 5*v, -4*a - a - 5*v = -1185. What is the greatest common divisor of a and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1273 + -85)\/(-2 + (-11)\/(-4))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 124.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2 - 10 = 0. Let x(y) = 10*y - 7. Let n be x(q). Calculate the greatest common factor of n and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 13 + 7. Let b be (-16)\/40 + -2 + (-44)\/k. Suppose i - 3 = 5*i + s, -4*i + 6 = -b*s. Solve l = -3 - i for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r + 2. Let t(j) = -j. Calculate 3*t(o) - v(o).\nAnswer: -8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373006556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*f = -167, -5*f - 7 = 3. Calculate the highest common divisor of u and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466106280.\nAnswer: 2, 5, 11, 2089, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 3*o + 3*o)*(0 - 29 - 39 - 34).\nAnswer: -408*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -47*(-7)\/(42\/(-18)). Let x = 152 + w. Calculate the greatest common factor of x and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2 + 30 - 5*k - 7 - 6*k**3 + 5*k**3 + 13*k + 46*k**2. Is v(36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -136, -318, -588, -958, -1440, -2046?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -24\/19, -0.11, 4\/57, -16, -0.3?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 1\/4*g**4 + 0*g**2 + g - 3 + 0*g**3. What is the first derivative of r(j) wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20\/(-110)*1 + 102522\/11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = 3*q. Suppose 25 = 2*a + 5. Suppose -2*f + 3*m = -q*m + 11, 0 = -2*m + a. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -873.124 - 1.876. Let q = -876.663537 + 0.845537. Let v = q - y. Round v to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 + 222. Is 1802 + l + -1*(-1 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 38147.\nAnswer: 343323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786 is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034274779 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 52 = -198. Let b = t + -22. Solve 4*z - 3*s = -b, -3*z = -0*z - 3*s + 24 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/5)\/((c\/c**(2\/11))\/c)*((c\/(c**(-1\/16)\/c)*c*c)\/c)\/c**(-9\/2) assuming c is positive.\nAnswer: c**(6639\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822116*k + 822360*k = -9272 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -29*v**2 + 123*v + 124. Calculate b(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2698?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 162*h + 32876. Give b(-203).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250689680.\nAnswer: 2, 5, 433, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aappapp. What is prob of picking 2 p and 1 a?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4096 + 7837. Let k(o) = -o**2 + 3741 - y. Let a(x) = 7*x. Give k(a(f)).\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7919, -5, -3, -0.48 in descending order.\nAnswer: 0.7919, -0.48, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -677 - -678. Let u be ((-42)\/10)\/((-1)\/5). Suppose 2*o - u - m = 0. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 9. Let w = 10 - -38. Suppose 0 = g + 3*g - w. Let f = 6 - g. Determine a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, e: 4, s: 1, u: 2}. What is prob of sequence usl?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81486359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106478, -106344, -106012, -105392, -104394?\nAnswer: -102928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1582 + -0.207. Round q to 3 decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + 9*y - 12. Let k be l(8). Let h = 542 - k. Suppose -4*g - 82 = -h. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2035 - 736 = -3*p - 2*x, -5*p = 4*x - 4615. Let b = -86 + p. Is 30 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-27)\/81)\/((-1)\/54). Suppose -x - 3*k + i = 0, -19 + 7 = -2*x + 2*k. Which is the biggest value? (a) -4 (b) -2 (c) 1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a288 (base 11) to base 8.\nAnswer: -123662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-18)*y)\/y**1*y**(-1\/47)\/(y\/y**(-1\/41)*y))**(-13) assuming y is positive.\nAnswer: y**(502164\/1927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulyuuyyuuuffiiff. Give prob of sequence ffuy.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 580057756.\nAnswer: 580057756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 6. Suppose 10 = 5*t, -2*z = 2*z + 2*t - 24. Let s be m(z). Let g(c) = -235*c + 6. What are the prime factors of g(s)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*l + 12, 4*l - 2*p = -3*p - 9. Which is bigger: l or -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 2 - 8*a + a - 3*a. Let p be z(10). Suppose 7*v = 3*v + 40. Solve -p*j + 5*j = -k - v, -2*k = 3*j + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*g**3*n*v*w + 2*g**3*v*w**3 + g**2*n*v*w**3 + 41*g**2*v + 4*g*w**3 + n*v - 1 wrt n?\nAnswer: 51*g**3*v*w + g**2*v*w**3 + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7.7. Let m = r - 1.175. Let s = m - -1. Round s to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 2*y**2 - 10*y + 29. Let u be c(-14). Suppose -1382 - u = -3*m. Does 46 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 24 = 0, -3*v - 5*i = -9*i + 33 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.075, 5\/2, -107, -2\/173 in increasing order.\nAnswer: -107, -2\/173, 0.075, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207735874 by 37729.\nAnswer: 5506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 184*g**2 + 3527*g + 588. Give a(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44146*p**4 + 3767276*p**2 wrt p.\nAnswer: -1059504*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 smaller than -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4 = 0, -2 + 0 = 4*j - 2*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -420442113?\nAnswer: -420442103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/1 + (1 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 1141853559.\nAnswer: 3425560677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 2*r + 2. Let g be y(-2). Let i be -1*g + 6 + 0. What are the prime factors of -2 + (6 - i\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/13? (a) -0.1 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a = -31*a - 45. Let y(t) = -11*t**3 + 4 + 6*t**3 + 4*t**3 - 13*t**2 + 4*t**2. Give y(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -3 + 2)\/(1\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/31? (a) 3 (b) -2 (c) 2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3110 is divided by 518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, 85, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.57 - 5.43. Do -5.2 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2176)*-2 - sqrt(2176) - sqrt(2176)) + sqrt(34))\/(-2*sqrt(32)).\nAnswer: 31*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kacffacrafcackaf. Give prob of picking 2 a, 1 f, and 1 c.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 633 - (6 - 0 - -1) and 6.\nAnswer: 1878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5 - 2 = 2*s, 5*s - 5*w - 70 = 0. Solve 3*h = 5*b - s, h = -4*b - 0*h + 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28 and 0.3013?\nAnswer: 28.3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28759105 is divided by 266288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 94 = 20*y, 3*y = 4*u - 47 + 87 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70253480)\/(-176))\/(3 - 15\/6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 + -276. Let p = c - -63. What is the remainder when p is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(0*g - 2*g + 3*g) - 3*g + g + 3*g - 4 + 4 - 2*g + 0 + 0 + 2*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*x = g + 115, -5*x = -4*g + 454. Suppose 2*j + 185 = 5*v, -2*j = -3*v - 6*j + g. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 6. Let r = v + -0.4. Let k be (-50)\/(-72) - (-3)\/(-12). What is the smallest value in 2, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30182?\nAnswer: 2, 15091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*x = -q + 17, 0 = -5*q + x + 9. Let k be q + 2\/(-4)*-2. Let p be (-2)\/4 + (-59)\/k. What is p rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/12 (b) -6141\/2 (c) 5 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*q**2 + 97*q**5 + 126*q**2 - 1 + 5 - 2 wrt q?\nAnswer: 5820*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -18.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 c, and 1 n when three letters picked without replacement from cggnnnggcgnggggg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 4*s**2 - s - 3. Calculate o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/((-2)\/10). Let a = -1611 - -1616. Solve a*m = -2*p - d, -4*p + 5 + 13 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2 + 48\/28 + 1920\/2016\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 62\/(-1)*((-4)\/(-8) - 0). Let p = q + 41. Suppose -2*h = 3*z - 217, -5*h - 105 = -z - p. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(884\/(-39))\/(-17).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (-21 + 30 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.1 (b) -1\/7 (c) 53778 (d) 1.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -191*q + 386*q - 14*q**2 - 183*q + 10 + q**3. Let v be t(13). Is 2\/v - (-5235)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpr when three letters picked without replacement from rpprrpprrr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -22*v + 79*v - 240. Calculate the highest common factor of 190 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 + -1 + 0 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -10*r**2 + 2836*r - 11350. Calculate b(4).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 11*b. Let q(t) = -t**2 - 6*t. Suppose 2*m - 7*m - 55 = 0. Let p(j) = m*q(j) - 6*o(j). Let v(w) = 2*w. Give v(p(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1698038 is divided by 7648.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 862207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1221 - -332320?\nAnswer: 333541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-19)*d*d**(-12) assuming d is positive.\nAnswer: d**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 - 29?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 33\/35*r**7 + 2*r**2 + 0*r**4 + 0*r**6 + 0*r + 22 - 13\/12*r**5 + 0*r**3. What is the third derivative of g(b) wrt b?\nAnswer: 4752*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.119 - -0.081. Let k = 296\/7 - 42. Which is the closest to 4\/5? (a) o (b) -5 (c) k (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.1909 - 0.0909. Let h = f - 37. Is h greater than 0.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -626 - -995. What are the prime factors of u?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674 * -4\nAnswer: -2696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dc6 + -1b?\nAnswer: dab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1308\/221 - -98\/17. Suppose -3*u - 3 = -0*u. Is c bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**2 - 4*u + 5. Let t(a) = 1028*a**2. Calculate c(t(b)).\nAnswer: -11624624*b**4 - 4112*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149050 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -863.\nAnswer: 20\/863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*v - 9*v + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 132.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002118 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f - 8. Let u be r(5). Let b be 2\/(-7) + 4718\/49. What is the greatest common factor of u and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 243201*c**3 - 6*c**2 + 7*c + 2. Let o be l(5). Suppose 2*g = -0*g - 4*m + 15200012, 4*g = -4*m + o. What is g rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 2. Let x be c(-3). Let b(m) = -m - 1. Let h(r) = -2*r - 3. Let g(i) = -5*b(i) + h(i). Let f(t) = -15*t - 10. What is x*g(v) - 2*f(v)?\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 25 = -6*h. Suppose 3*j + 6 = -4*r, r + r + 16 = h*j. Let y = r - -19. Calculate the highest common factor of y and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 6*w. Let a be j(5). Suppose 0 = a*g + 1 - 16. Determine q, given that g*q - 23*q**4 - q + 27*q**3 + 7*q**5 - 6*q**2 - 7*q**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxgoxxgqsxxgqxqoq. What is prob of picking 1 o, 1 s, 1 g, and 1 q?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10575 is divided by 10461.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 13*n = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2 = -r, -2*r = 2*d + 27 - 11 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 2 (b) 6 (c) -0.0793 (d) 0.6 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (64 - (148 + -46)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7 (base 16) in base 9?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -5858.\nAnswer: -2\/2929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18294123 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: Divide 72 by -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4374*u - 4379*u - 4*n = 34, 2*n + 20 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -53. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 82, 120, 158, 196, 234?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -98 + 48 - (0 - 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) -0.64 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b588 (base 15) to base 8\nAnswer: -112752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p - 27*p - 48 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12253*u - 12254*u - 5 = c, -3*c - 11 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 177*y**2. Let l(z) = -2213*z**2. Calculate x(l(s)).\nAnswer: 866834313*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g. Suppose n - 1 = -2. Let j = n + 8. Let f(o) = 8*o - 8*o - j*o**2 - o**2. Calculate f(r(v)).\nAnswer: -128*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 338, 1364, 3046, 5360, 8282, 11788, 15854, 20456?\n\"Answer: -4*g**3 + 352*g**2 - 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 0.1, -0.06 in ascending order.\nAnswer: -0.06, 0.1, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488 = -13*k + 1489. What is the remainder when (0 - 0)\/(-1) + 690 is divided by k?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 7 = -3*r, 32*h - 25 = 20*h - r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -227608380, -455216760, -682825140, -910433520, -1138041900, -1365650280?\n\"Answer: -227608380*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/22 - (-7)\/(616\/(-16)). Sort -2, -1, h, 5\/4 in ascending order.\nAnswer: -2, -1, h, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r**3 + 55*r**2 - 34*r + 84. Let a be x(-19). Solve -3*c - 39 = -16*i, -a*c + i + 12 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 2. Calculate the smallest common multiple of (-10 + -2)*12\/(-18) and y(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 1. Find the second derivative of 0*w**2 + 27*w + z*w**3 - w**2 + w**2 wrt w.\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2004000 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/4 or 1594196?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(4875\/(-232)) - 3\/(-6). Let r = 6\/125 - t. Which is the closest to 0.1? (a) -2\/9 (b) r (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008411487 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -157, -314, -471, -628, -785, -942?\n\"Answer: -157*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5086 and -0.35.\nAnswer: -1780.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53325, -53309, -53293?\nAnswer: -53277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*z - 172. Let r = z + -30. Let u(x) = 5*x + 11. List the prime factors of u(r).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3842*d - 3841*d + 3*q + 59, 0 = 5*d + 2*q + 61 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + 8*x**2 + x + 8. Let w be i(-4). Which is the third smallest value? (a) w (b) -4 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000107359578 to 7 decimal places.\nAnswer: -0.0001074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850.78 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12320\/80 - (-1 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3203.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 - 41*m\/2 + 81\/4.\nAnswer: (m - 81)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -9. Let n = -7.869 - 0.131. Let i = -1.8 + 2.2. What is the nearest to c in -0.3, i, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -423272 divided by -8\nAnswer: 52909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 4. Let i(r) = -7*r - 9. Let s(y) = -2*i(y) + 5*o(y). Let f(x) = x + 4. What is the remainder when f(0) is divided by s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 - 2 - 2 + 2 + (-2 - 1 + 4)*(-3 - 2 + 3))*(-2 - 2 + 3)*(-5 - 4 + 2)*(0 + 4 - 3)*(167*q + 80*q - 155*q).\nAnswer: -3220*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 5 - 5)*(-7*q**3 - 8*q**3 - 3*q**3)*(3 + 0 - 1).\nAnswer: 36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -162*g**3 + 1131*g**2 + 7*g + 102. What is k(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1110047 - 386307. Let d = -1496393.00000512 - a. Let t = 39 + d. What is t rounded to 7 decimal places?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194500387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5999*g**2\/5 + 788*g + 636\/5 = 0.\nAnswer: -318\/857, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - 1599 + 1599.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -494119099154.\nAnswer: -494119099153.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36018 - -4862471\/135. What is the common denominator of -12\/35 and d?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13140, -13150, -13174, -13218, -13288, -13390, -13530?\n\"Answer: -y**3 - y**2 - 13138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**3 + 0*v**3 + 0*v**3)*(48 + 58 + 2 - 27).\nAnswer: 405*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4103101 (base 6) in base 10?\nAnswer: 195085","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 6. Let p be q(5). Let h(z) = -3*z + 27. Let w be h(6). Which is the nearest to p? (a) -3 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2*f - 1\/3*f**4 - 2*f**3 + 1\/3*f**2.\nAnswer: -f*(f - 1)*(f + 1)*(f + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 23*d**2 + 495*d + 1841. Calculate x(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -144302 + -3?\nAnswer: -144305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 465864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*(13761\/(-330))\/(-139)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49602, -49595, -49586, -49575, -49562, -49547, -49530?\nAnswer: -49511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(160) - (sqrt(160)*-1 - sqrt(160))))\/(sqrt(55)\/(sqrt(55)\/sqrt(5))) + sqrt(18)\/sqrt(324)*6*-2.\nAnswer: -13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -3, 22, 77, 174, 325, 542, 837?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {s: 1, a: 5, u: 1, p: 2, c: 3, g: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 2. Let s be 2 + k + (4 - 2). Suppose 14*h - 54 = 13*h. What is the greatest common divisor of s and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*y**3 - 37*y + 9418.\nAnswer: -120*y**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-532)\/(-1995))\/((-32)\/12).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 + 19*s**2 - 8*s + 16. Let x(u) = u**2 + 13*u + 42. Let i be x(-4). Calculate the smallest common multiple of l(i) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elleeleececll. Give prob of sequence cell.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -103. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 5*c**2 + 6*c + 15. Let m be j(6). Solve 3*q - 3*x - 3 = -12, -2*x + m = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*s**2 + 9*s - 4.\nAnswer: (s + 1)*(13*s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 - 1\/2*j**2 + 0*j.\nAnswer: -(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 - 232. Solve 6*b = -6*b + d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*(-11)\/(-660))\/(((-7)\/20)\/(-1)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2439 - 2439.0004388. What is p rounded to 6 decimal places?\nAnswer: -0.000439","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424761 is divided by 2082?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/31)\/c**1)\/(c**(2\/7)*c**(4\/7)) assuming c is positive.\nAnswer: c**(-417\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4a07 (base 11) to base 15\nAnswer: 1e11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 499.7 - 500. What is the nearest to -1\/3 in 1\/3, h, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.464647 centuries in years?\nAnswer: 46.4647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 356 divide 190981896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11605086?\nAnswer: 2, 3, 19, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - u - 2331, -3*q - 5*u = -3*u - 1762. Suppose 968 = 5*i + 2*g, -2*g = 3*i - 0*i - q. Calculate the greatest common divisor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:10 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvkv when four letters picked without replacement from vgptkvvpvvpwp.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1890 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14499 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3028309 is divided by 331.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 8*c**5\/15 - 120*c**2. Let z(k) = k**2. What is o(z(v))?\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -13*q + 15*q. Is 2\/18 + 363008\/q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2848 is divided by 409?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l**2 - 319*l - 319. Let r be s(-1). Suppose -3*b = 3*u - 87, 4*u + u - 3*b = 177. Calculate the highest common factor of r and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 3:29 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -5. Let i be (f\/(-3))\/((-2)\/(-4)). What is the nearest to 0 in -4, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146605 - (15 + -14)\/(3\/24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8041*w - 54. Let p(a) = 16083*a + 135. Calculate 2*p(f) + 5*u(f).\nAnswer: -8039*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 1\/2 (b) -68 (c) 5 (d) 61 (e) 0.1 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -20 (b) -1\/2 (c) 1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, n: 8, d: 9}. What is prob of picking 4 n?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2, -4\/3, 1908\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-14 - -11)) + -8\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -193665.819*0.1\nAnswer: -19366.5819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-18\/7)*g)*g)\/g)**(5\/3) assuming g is positive.\nAnswer: g**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -3. Suppose 23 = 3*d + o. Solve m + 15 = d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 521690 + 1348485. Let h = -674035 + x. Round h to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835 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: Put together -0.3 and 4.231.\nAnswer: 3.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138870 and 72?\nAnswer: 555480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*2\/60*2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2135*d**2*g*y**3 - d**2*g*y - 3*d**2*y**2 - 404*d**2 wrt y?\nAnswer: 12810*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001131 to seven dps.\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(-14)\/x))**(1\/79)*(x**4)**(35\/3) assuming x is positive.\nAnswer: x**(11108\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 180*((-954)\/(-72) + -12). Suppose -2*j + 28 = -2. What is the greatest common divisor of h and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2396484 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-303)\/(-101))\/((-1)\/2). Which is smaller: h or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*v = 0, 20524*o - 20528*o - 2*v + 40 = 0 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-180) - (-2 + 44\/24). Let g be (1 - 8\/10)\/1. Which is the third biggest value? (a) u (b) 3\/4 (c) g (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1347 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20227536 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 19371, -3, 3 in descending order.\nAnswer: 19371, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 4. Let b be a(5). What is the remainder when 63 + (b - 0 - 0) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 + 4*b + 4. Let y(o) = -10*o**2 - 61*o - 9. Let j be y(-6). Let r(f) = -f**3 - f - 1. Calculate j*p(a) - 12*r(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u - 6. Let l be b(-5). Suppose -21*f - 6 = -l*f. What are the prime factors of (207\/15)\/(f\/10)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 5*6\/15 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**6\/90 + j**5\/12 + j**4\/18 - 4*j**3\/3 + 1032*j. Let d(g) = 0. Calculate g.\nAnswer: -2, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0.1. Let n = 2768 - 11069\/4. Which is the fourth smallest value? (a) k (b) 5 (c) n (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*b = 66*b + 688 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h + 193. Let v be z(26). Let p(a) = -2*a + 10. What is p(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/2 (b) -1 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/(-25))\/((-2)\/(-15)). Let q = w - 8. Suppose 6 = -2*v + 5*a - 1, -16 = -v - q*a. Solve 0 = -3*y + v*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-8) + 50\/(-4). Let t(r) = -2518*r**2 + 0*r + r**3 + 16*r + 0*r**3 - 2512*r**2 + 27 + 5045*r**2. What are the prime factors of t(u)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/30 and 97\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11230 - 444?\nAnswer: 10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 139\/51?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 196 times 0.6\nAnswer: 117.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35117*0.4\nAnswer: 14046.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2447 + 2380. Let k = -2357.572885962 + 2424.5728858. Let n = s + k. Round n to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 + -1798.4?\nAnswer: -1798.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = a - 19, 0 = -4*a - 2*r - 8 + 84. Let w = a - -9. Calculate the remainder when w is divided by 10\/4*(4 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-7 + 11)) + -1 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -6\/13 (c) -31679\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 + 0 - 4 - 3*c.\nAnswer: -3*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*l + 16 = -13, -2*f + 26 = -5*l. Let u = 4 - 2. Find the second derivative of -2*y**3 - u*y + y**f - y**3 + y**3 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 188 + -103. Suppose 4*j = o + 95. Calculate the remainder when j is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*a + 53. Suppose h - 14 - a = 0. Let l = -6 + 20. Calculate the remainder when h is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x**3 - x**2 - x. Calculate the remainder when 35 is divided by s(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31271701 + -105?\nAnswer: -31272006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5902, -11802, -17702, -23602?\nAnswer: -29502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:03 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (-42 - (-43 + 15))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38559903499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 585048899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -17*g**2 + 14. Let n(l) = 6*l + 6*l - 10*l - 3*l. Give c(n(z)).\nAnswer: -17*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = 2. Suppose -4*f = -5*f - 9. Let d be 0 + ((-6)\/p - f). Solve 4*z - 3 = -2*g + 11, 3*g = z + d for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 686 + -691. Which is the nearest to t? (a) -3 (b) -2 (c) -2\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5802941612?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/163? (a) -17\/5 (b) -3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.014 and 234631.\nAnswer: -3284.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**3 + 23*x**2 + 6*x - 12. Let m(a) = -3*a**3 + 11*a**2 + 2*a - 5. Let l(v) = 5*m(v) - 2*y(v). Give l(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634167546.\nAnswer: 2, 3, 23, 257, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 6:04 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 9:54 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(18)*3)\/(sqrt(9) - sqrt(45)\/(sqrt(5)*-1 - sqrt(5))) + -1 + ((sqrt(126)*3)\/sqrt(7))**2).\nAnswer: -24*sqrt(2) + 966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196 by 49.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by 4?\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -621 divided by 87227\nAnswer: -621\/87227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 67*f - 20*f + 86, 2*r = 3*f + 36 - 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 = 0, 3*l + 2432 = -3*z + 8*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 540 + 1353?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -5. Suppose -2*v = -3*f - 16 - 210, -2*f + 452 = o*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/295 and 28\/5015.\nAnswer: 5015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2112030330 (base 5) to base 7\nAnswer: 52316640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 70, 158, 306, 526, 830, 1230?\n\"Answer: 2*j**3 + 18*j**2 + 20*j + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**3 + 38190*j**2 - 4648017*j + 141651028 = 0.\nAnswer: 61, 38068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 49*o**2 - 223*o + 2870. Give w(-42).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 6\/(-1 + 4). Let w(p) = 1940729*p. Let n be w(u). Let f = n - -1077813. Round f to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64839 < 64811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 3*i - i + 0*i. Suppose 2 = -5*n - 3*l - 0*l, -2*l + 2 = 0. Let u(b) = -b. Let j(w) = 2*w**2 + 2*w. Let q(d) = n*j(d) - 2*u(d). Give s(q(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*(-1 + (-3)\/2). Let m(t) be the third derivative of -t**6\/120 + 3*t**5\/20 + 11*t**4\/24 + t**3\/3 + 14*t**2. Is 4 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 3292\nAnswer: -3292.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/(-7))\/(-40))\/((725\/5750)\/29)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25616 divided by 6469.\nAnswer: 25616\/6469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/4 - 5\/20. Let o(t) be the second derivative of -t**3\/3 + t**2 - 3*t. Let x(r) = -2*r + 1. Give c*o(m) + 3*x(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12818, -12824, -12840, -12872, -12926?\nAnswer: -13008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 6. Let w(h) = 14 - 43 + 13 + 15. Let y(q) = -a(q) - 6*w(q). Let p(z) = -6*z. Determine y(p(u)).\nAnswer: -36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 2:01 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21710, 86830, 195362, 347306, 542662, 781430?\n\"Answer: 21706*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -1261*h + 66824. Let v be g(53). Let i = 1 + -1.1. Let t = 128 - 261\/2. What is the nearest to i in t, v, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1604*g**3 + g**2 + 3*g - 6. Let w be l(2). Let r = w - 9051. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = 3*c + 4, 3*c = -5*u + 10. Suppose g = u*g + 5*z + 2, 5*g = 3*z + 18. Solve g*j - b = -9, -2*j - 5*b + 10 = -1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d. Let c be a(2). Suppose 3*j + 2*j = -25, c*y + 3*j = -9. Suppose -y*t + 31 = -5. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845 is divided by 1397?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - r - 1145 = 0, -5*n + 6*r - 3*r - 1410 = 0. What is the units digit of (-4)\/(-24) - n\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0201965266 rounded to 6 decimal places?\nAnswer: -0.020197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s - 2. Let r be n(-3). Let z = -3 - -2.8. Let w = -3.1 - -3.1. Which is the biggest value? (a) r (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*o = 126801 - 131481 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 569688 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80067, 80068, 80069?\nAnswer: 80070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/7 + 233*a**3\/7 - 2682*a**2 + 91476*a - 1132488 = 0. What is a?\nAnswer: 42, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36*((-1645)\/(-20) - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(156)*4)\/(sqrt(48)\/(sqrt(16)\/sqrt(4))).\nAnswer: -60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 13424?\nAnswer: -13417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 773469 and 576123?\nAnswer: 3183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 less than 357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j = -4. Suppose -2*z = -z - 1, -j*v = -2*z - 2. Let i be (v + -5)*33\/(-9). Calculate the highest common divisor of i and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-5 + (1 - (-5 + 0))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 7*u**2 + 218*u + 24. Determine y(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59, -209, -465, -833, -1319, -1929?\n\"Answer: -w**3 - 47*w**2 - 2*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.4 - -0.6. Let p = 8.99996 - u. What is p rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -15 (b) 172.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from yyjaayayayayajyyaaa?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: How many kilometers are there in 531.416 meters?\nAnswer: 0.531416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from dhhyhbbhhbydhhy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 - -27) + (-8)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -31*n - 128. What is i(-11)?\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2 - 668*z + 669 = 0.\nAnswer: -669, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u + 29. Let p(o) = -10 + 36 - 3*o - 3 - 6. Let l(y) = 8*p(y) - 5*t(y). Let g = 3 - -7. What is l(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1112299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 746088 and 846?\nAnswer: 105198408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(11\/(110\/25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-57 + (-2845)\/(-50))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-380 + -25) + 28\/9 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.423011 millilitres in litres?\nAnswer: 0.000423011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117300 and 234600.\nAnswer: 234600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*m - 25 + 9, 0 = -5*m - 2*b - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/36, -0.3, 1\/7, 21464?\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146390018 is divided by 2848.\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10513105 (base 6) to base 7\nAnswer: 2504165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -93\/4, 0.4, 3\/5 in increasing order.\nAnswer: -93\/4, -2, 0.4, 3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02586264 rounded to five decimal places?\nAnswer: 0.02586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -89040 divided by -14\nAnswer: 6360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/1)\/((9\/(-108))\/((-7)\/42))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*l - 3*v, 4*l - 5*v + 19 = 34. Suppose 60 = 7*k - l*k. Suppose 0 = s - 5*s + 12. Calculate the lowest common multiple of k and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 1. Let z(r) = -r**2 + 2*r. Let s be z(2). Let q be p(s). Suppose h - 3 = q. Solve 3*m - 2*m = -h*a + 21, -16 = -4*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 + -1.98. Let j = t + 1.98. Let k = 5\/211 + 201\/422. Which is greater: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:31 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(132\/99 + (-35)\/24). Which is the biggest value? (a) -6 (b) -5 (c) 4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3337, -8532, -13727, -18922, -24117, -29312?\nAnswer: -34507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 + 2*d. Let k be w(-1). Let g(x) = -x - 4. Let n be g(k). Solve -n*t + 1 = 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 309729 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 14*z**2 - 18. Let v be b(14). Which is bigger: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 8.6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 14) in base 8?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4418000 and 35\/4.\nAnswer: 4418000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 427\/3294*-27*16\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -21*i + 431*i**2 - 437*i**2 - 45 + 0*i. Let a(z) = -11*z**2 - 43*z - 90. Let u(c) = -3*a(c) + 5*o(c). Factor u(p).\nAnswer: 3*(p + 3)*(p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -133*o - 522. What are the prime factors of s(-12)?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29655 and 3975.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g - 6*g**2 - g - g**2 + 1 + g**3. Let v = -6067 - -6074. What is s(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.812 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 3)\/(2\/(-4)). Suppose -h*t + t = -1. Differentiate -2*y**2 - 3 - 2 + t with respect to y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 517 (c) 13 (d) -0.1 (e) 3 (f) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkkktkkkkwkw. What is prob of picking 1 k and 1 w?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 - 3*m**2 + 3*m + 8. Let f be q(-3). Suppose -6*n - 4*n = -f. Calculate the lowest common multiple of n and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*u - 4*n, 4 - 15 = 2*u + 3*n. Let t be (6\/(-3))\/(2\/(-10)). Suppose 3*j - t = -u*j. Solve -1 - 3 = -j*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a\/(a*a*a**(3\/5)*a))**10)**(-2\/7) assuming a is positive.\nAnswer: a**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 56.53841 weeks?\nAnswer: 34194430.368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21547*h - 408*h**2 - 21547*h + 409*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40680664?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4183016 is divided by 36693.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 + 5?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40174 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240950007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 37*i**2 + 35*i + 1390. Let h be g(-37). What is the highest common divisor of h and 14915?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.6383153 + 13.6303. What is o rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.4 - -4.40046. Round c to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1028569133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arraaara. What is prob of picking 3 a and 1 r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 199 - 70. List the prime factors of p.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 774 = 5*q. Calculate the remainder when q is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*y**4 + y**3 + 19*y**2 + 111056*y?\nAnswer: -648*y**2 + 6*y + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-4)\/24 + 1 + 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9 + -0.1. Let s = -0.035 + -0.025. Let t = 0.36 + s. Which is the closest to 0? (a) k (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 6*n + 5. Suppose 3*m = 7*m - 24. Suppose -8 = m*h + 4. Let s be q(h). Which is the third smallest value? (a) s (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 7*u**2 + 6*u - 2. Let m be a(6). Let l(c) = -3*c. Let b be l(m). Determine s so that 5*s - 4*s**5 + 6*s**2 - b*s**4 - 2*s + s**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4*z - l**3*t**3 + 69*l**3*z + 6*l**2*t**3 + l*z - 3*t**3 - 4*t**2 wrt l?\nAnswer: 24*l*z - 6*t**3 + 414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.044645591 or 3?\nAnswer: -0.044645591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338525 plus -0.5?\nAnswer: 1338524.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 11. Let g = t - -4. Suppose g*b + 105 = 5*b. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 120*f**3 - 10*f**2 + 2981*f + 20345798?\nAnswer: 360*f**2 - 20*f + 2981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + -41. What is the remainder when 75 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26574 - 5?\nAnswer: 26568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 18*r**2 - 3*r + 35. Determine l(18).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 314*p*q**2 + 2*q**2 - 153*q wrt p?\nAnswer: 314*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/9)\/(2\/(-57)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 3*h + 293*a - 302*a, 4*h - 14*a + 138 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 953131443 is divided by 3413.\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-370)\/148)\/(5\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 729495.3 hours to minutes.\nAnswer: 43769718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3127700 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:29 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -23521*w + 23529*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11286, -22663, -33586, -43827, -53158, -61351, -68178, -73411?\n\"Answer: 38*r**3 - r**2 - 11640*r + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*k = 20503 - 17863 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 7120366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*q = -206*q + 15190. Calculate the greatest common divisor of q and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*f - 21*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -355, -357, -359?\n\"Answer: -2*v - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/4 - 10*z**3 + 4*z**2 - 48*z + 32. Let r be d(-30). What is r rounded to the nearest ten?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155\/(-62)*6\/15)\/((-20)\/5)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.784322 + -1.796. What is a rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98136 and 18864?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -514751, -2058714, -4631979, -8234540, -12866391?\nAnswer: -18527526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 70 = -r. Suppose -3*a - r = 4*c, 3*a + 2*c - c = 1. Factor 0 - 10\/3*z**a + 4\/3*z.\nAnswer: -2*z*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 29510 = 16*k, 2*v - 257 - 11547 = 3*k. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333459 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - (-39)\/12*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2789 + 3592. Suppose 0 = -6*c + i - 327. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**3 + y**2 - 8*y + 4. Let j(x) = 11*x**3 + 3*x**2 - 17*x + 8. Let a(n) = -9*b(n) + 4*j(n). Calculate the remainder when a(3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3796 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -8\/7 (b) -3\/2 (c) 2\/2473\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 186024 divided by -7751\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, m: 8}. Give prob of sequence pm.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 26*j**2 + j - 1. Let q be h(1). Let b be 4\/(-12) + q\/6. Suppose -s = -2*s + b. Solve i - 6 = -i, s*t + 3*i - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.581812 millennia to centuries.\nAnswer: 55.81812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 4. Suppose r + r - 2*f - 22 = 0, -5*f = n*r - 55. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.429024 meters in nanometers?\nAnswer: 7429024000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 + -9. Suppose -5*z - x + f = 0, -1 = -z - 2*x + 3*x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*5*3)\/(sqrt(6)\/(sqrt(2)*5)).\nAnswer: 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*n + 3*n = 191, -5*l = n - 476. Suppose -2*f - 11 = -d + 12, 3*f - 32 = -2*d. What is the highest common divisor of d and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) + 394\/10. Let w = a + -15. Does 24 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1464 (b) -0.05 (c) -1\/3 (d) -0.5 (e) 2\/5 (f) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*4\/4)\/(1*-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (-1 + -8 + 4 + -13).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 + 8*x - 5. Let p be d(7). Let h = 6 - p. Solve -q + 5*q = h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**3 + a**2 - 7*a - 12. Let q(r) = 5*r**3 + r**2 + 7*r + 11. Let l(j) = -4*q(j) - 3*t(j). Determine l(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 533246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -28728 - 31217. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 2*v - 2*v - 7*v + 3*v + 2*v + (-v - 2*v + 2*v)*(-2 + 1 + 0))*(-14*v - 2 + 2*v**3 + 14*v) to p*v + z + d*v**3 + y*v**4 + x*v**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*c - 7 = 2*c, -4*s - 2*c - 16 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1303 (base 6) to base 7\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -316, -329, -364, -433, -548, -721, -964, -1289?\n\"Answer: -2*n**3 + n**2 - 2*n - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -556, -551, -532, -493, -428, -331?\n\"Answer: z**3 + z**2 - 5*z - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1130 and 3015?\nAnswer: 681390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 2, j: 6, g: 1, e: 2, s: 5}. Give prob of sequence gj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.046925 + -0.7.\nAnswer: -0.653075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 27. What is the common denominator of (-2 - b) + (-335)\/20 and ((-4)\/1)\/(36\/70)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 87 = -0*l + 3*g, 4*g + 20 = 0. Let v = l + -70\/3. Determine t so that 2*t**2 - 2\/3*t**3 + v - 2*t = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10675803 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:37 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7488*x**2 - 23721*x + 3771 = 0 for x.\nAnswer: 419\/2496, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21594406181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3623 is divided by 132.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32681014 to the nearest integer?\nAnswer: 5717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((680\/(-36))\/5)\/(44\/14256*-36).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*u + 4*u - 22*u + 17*u.\nAnswer: -42*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1636705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1272)\/6 - (-1*1 - 0). Let a = b - -397. Suppose 6*q = 8*q - a. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/5 + s**4\/3 + 2*s**3\/3 + 5*s**2\/2 - 44*s. Let z(h) = h**2 + h + 1. What is g(w) - 4*z(w)?\nAnswer: -4*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 7, g: 1, p: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 114*b + 680. Let l be f(-6). Which is bigger: -2\/305 or l?\nAnswer: -2\/305","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96.8? (a) -18 (b) -0.4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412 divided by 455?\nAnswer: 1412\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -334*k - 7. Let h(c) = 13*c**2 + 36*c - 207. Let d(o) = -3*o**2 - 8*o + 46. Let b(a) = -9*d(a) - 2*h(a). Calculate f(b(j)).\nAnswer: -334*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5649, -11296, -16943, -22590, -28237, -33884?\n\"Answer: -5647*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32372684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 2. Let c be b(0). Let n be -3 + 0 + (-2)\/c. Is ((-179)\/n)\/(11\/22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - -0.97. What is the nearest to i in 2\/23, -0.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1409 - -1344) + 0 + -3 + -18 - -21.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 9. Let f be h(-4). Let r(o) = o**2. Let a(i) = -4*i**2 - 1. What is f*a(g) - 6*r(g)?\nAnswer: -2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 9*p**2 + p - 5. What is the smallest common multiple of 9 and k(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = 9 + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 404*p - 5047. Give x(-13).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -502 by 135.\nAnswer: -502\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 + -91. What is the lowest common multiple of k\/(-25) + 2\/10 + 2 and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u - 120 = 0. Let h be (-4)\/((-216)\/40 + 5)*(-3)\/(-5). What is the greatest common divisor of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c + 25. Let r(q) = -q. Let k(h) = g(h) + 2*r(h). Suppose -5*t - 11 = 3*z - 6, -5*t - 5 = 5*z. Is 12 a factor of k(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 46026*d + 176532723.\nAnswer: 3*(d + 7671)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - -1.02. Let p = j + -4.9. Which is the second smallest value? (a) p (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 46?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 8*j - 4*j. Find the first derivative of 7*v**j + 2 - 15*v + 15*v wrt v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r - 5. Suppose 0 = 3*a, 18 - 6 = 3*x - a. Suppose -12 = -x*w, -4*w = 2*i - w + 11. What is the units digit of h(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 99929\/254 (b) 5 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 15 + 17 + 5 - 51 - 10*b.\nAnswer: -10*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 + (6 - (3 + -2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**4\/6 - 2*p + 6. Let b(z) = 11*z**2. Determine b(c(i)).\nAnswer: 44*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13026, -44934, -98114, -172566, -268290?\nAnswer: -385286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 59*t**2. Let p(u) = 237*u**2 - 5*u + 1. What is p(a(m))?\nAnswer: 824997*m**4 - 295*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31911649 and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*s + 260 - 34 = 0, -3*i + 5*s - 172 = 0. Let c = i - -21. Let l = 51 + c. What is the greatest common divisor of 72 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 5*f = 18 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*w = -476764 + 479936 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 60*q**2 - 21*q + 75. Let i(a) = -15*a**2 + 5*a - 19. Let n(k) = 5*h(k) + 21*i(k). Differentiate n(f) with respect to f.\nAnswer: -30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:09 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347 = -157*d - 736 - 644 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 + 11.26. Let o = 1.4401 - 1.1401. What is the closest to t in o, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -980844 less than or equal to -980845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 3. Let t(u) = -2*u**3 + 5*u**2 - 5*u - 10. Let w be t(0). Let m(l) = l + 2. Determine w*m(a) + 4*p(a).\nAnswer: -2*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -j - 1, -7 = j - 3*b + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5753071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3 - 1. Let u(o) = 8 + 0 - 4*o - 8. Give u(i(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 0 in descending order.\nAnswer: 9, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 11. Let s be h(-6). Suppose s*n - 15 = -5*m, -n = 5*m - 3 - 0. Determine v, given that 3*v - 6*v**3 + 9*v**n - 6*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6770*o**3 - 1041*o**3 + 271*o**3.\nAnswer: 6000*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 3, z: 12, q: 2}. Give prob of picking 1 x and 3 z.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 22?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -3, -0.05, -11, -2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 171 and -78?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20666 + -20234. What is the highest common divisor of 279 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(11\/5)*x)\/(x**(-1\/4)\/x))\/(x*x\/(x*x**(4\/11))*x)**(-7\/9) assuming x is positive.\nAnswer: x**(1259\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhzhhhzzhh. Give prob of picking 2 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 455, 456, 457, 458, 459, 460?\n\"Answer: n + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9176 - 9173. Solve 0 = 7*i - 10*i - s + 14, 0 = -h*i + s + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 549459 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 32 = -t - t, t + u = 16. Let s = 20 - t. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129734 - 42006 = -10*s. Suppose 15*b - 81419 = -s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58106*c = 63967*c - 216857 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*t + 10 = -7, -3*t - 24 = -3*z. Suppose 0*u = z*u. Suppose -s + 12 + 12 = u. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 12*y - 7*y + 9919 = 0. Is 1413 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399492?\nAnswer: 2, 181, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 15*d**2 - 9*d. Let i(n) = -n**3 + 7*n**2 + 4*n. Suppose 5*k - 13 = 4*k. Suppose 0 = -4*z - 11 + 35. Calculate k*i(b) + z*j(b).\nAnswer: -b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 675 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50243 * -21.\nAnswer: 1055103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116634095 or 116634091?\nAnswer: 116634091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s**3 + s**2 + 2*s. Let o(z) = -1030*z**3 - 5*z**2 - 10*z + 4. Determine 5*h(d) + o(d).\nAnswer: -970*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 3:35 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110111101101 (base 2) to base 8.\nAnswer: -106755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4 + 4 - 3 - h. Let c be x(3). Let a(k) = -4*k - 168 + 172 + k**c - 4*k. Calculate a(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0.2. Which is the nearest to 1\/3? (a) x (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 3*l + 11205*l**2 - 560*l**2.\nAnswer: 10645*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.63 - 2.73. Which is the third smallest value? (a) 2.5 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.888 - -2905795839.\nAnswer: 2905795838.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/9 - (-1)\/(-3). Let c be p*1\/4*2. Let d = 6 - c. Is 6 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17054178*i**5 - 1958187*i**2.\nAnswer: -1023250680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 14, g: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -5\/4, -29, -756?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -93 + 345. Let y = 220 + m. Let a = -98 + y. What are the prime factors of a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(95\/(-30))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9703, 9716, 9721, 9706, 9659, 9568, 9421, 9206?\nAnswer: 8911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-7))\/(392 + (-37950)\/100)?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 262 (b) -0.3 (c) -2 (d) 1\/5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*a = a - 2, 0 = 4*q + 5*a + 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*v**4 + 11*v**3 + v**2 - 32685*v.\nAnswer: -2508*v**2 + 66*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9974988 to the power of 1\/2, to the nearest integer?\nAnswer: 3158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0, -0.4, 23 in descending order.\nAnswer: 23, 0, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18023965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-5)\/2))\/(-1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/8*(-4)\/45. Let r = -9 - -8. Is r < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-100)\/288 + 1\/8. Let j = 86.4 - 88. What is the second biggest value in q, j, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.089 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(3564) - sqrt(3564)) + 3)**2 + sqrt(264)\/sqrt(54) + -1 + sqrt(44) + -3.\nAnswer: 5 + 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 18. Let u be b(-10). Let c(l) = l - 8. Let n be c(u). Let p be n + -90000 - 0\/2. Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 17589915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + -33. Let q = c + 154. Suppose r + r - q = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 0.856.\nAnswer: 7.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 times 0.3?\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4454033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 816320019 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 3*g**5 - 35340*g**3 - 7*g + 71295?\nAnswer: 60*g**3 - 212040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4959 and 2451?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -0*i + 14. Suppose 4*j - 2*t = 30, 2*t + 5 = -3*j - i*t. Suppose 7*s = j*s + 8. Let p(f) = f - 3. What is p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13914174559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y**2 + 0*y**4 + 12228*y - 5*y**2 - 12228*y + y**4 + 11*y**3 = 0 for y.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 310?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 501477 to the power of 1\/2, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1512017 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (60 - 109 + 47 + 3*w + 33*w**2)*(-w - 10*w - 11*w) in the form m*w**2 + s*w**3 + t*w + p and give s.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 + p - 609. Let d(m) = -4*m. What is d(k(a))?\nAnswer: -8*a**2 - 4*a + 2436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15052 by 3763.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 - -197. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 141\/14 (b) -5\/6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 19 = 2*r, -4 = 2*r + 1777*z - 1775*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1317 - 1311. Solve -5 = h*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0*a + 5*a + 18, 5*j = -3*a + 6. Let d = -184 + 192. Let s be 13*(0\/d + (-1 - 0)). Put s, 0, j in descending order.\nAnswer: j, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-5) - -5*2. Suppose 4*p + h = -p. Let u be (800\/(-3))\/(p\/(-102750)). Round u to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 408548608*d**2 - 444170685 wrt d?\nAnswer: 817097216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017763 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(7) - (sqrt(63) + sqrt(7))) - (2 + sqrt(21)\/sqrt(3))**2.\nAnswer: -7*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 16, 27, 42, 61, 84, 111?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33571 and -140?\nAnswer: 4699940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1657 divided by 1906\nAnswer: -1657\/1906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4929 + -4 - (-9 - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0, -1, 1, -9, 17, -5 in decreasing order.\nAnswer: 17, 1, 0, -1, -5, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 125. What is the second biggest value in p, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*u = -0*z - 12, 0 = -z - 2*u + 7. Suppose 0*b - 76 = -4*b. What is the remainder when b is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/7))**(-17)*(t*t**10)\/(t**(-1)*t*t) assuming t is positive.\nAnswer: t**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*z**4 + 404*z**3 + 488*z**2 - 416*z.\nAnswer: 4*z*(z + 2)*(z + 13)*(7*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 32. Let h = 18 + -10. Suppose 2*a - h = 0, 4*l - 2*a = -6*a + 96. Calculate the remainder when l is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 9278, 31243, 74018, 144539, 249742, 396563?\nAnswer: 591938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/5 + (-5 - -5) + -1. Does 3 divide 157\/(1*(1 - 4 - g))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovt when three letters picked without replacement from ttoqqpqqpvpbpo?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860372989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = o + o, 2*o = -4*s + 16. Which is smaller: 6\/13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5750, -6875, -8000, -9125, -10250, -11375?\n\"Answer: -1125*w - 4625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {c: 1, a: 2, t: 1, z: 1, f: 1, n: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1 + 26\/10. Suppose 6*v + 3*r - 20 = 2*v, 4*v + 5*r = 28. Let p be 2\/14*v*-1. Which is the closest to l? (a) p (b) -3\/5 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99134 + -99056. Suppose -2*h - 2*h = -40. What is the remainder when f is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2413557043 to the power of 1\/4, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21830 = 29*j + 21714 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(4\/7)*v)**(1\/2))**(3\/4))**(-2\/83) assuming v is positive.\nAnswer: v**(-33\/2324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2))\/sqrt(4) + -5 + (sqrt(18))**2.\nAnswer: sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/210)\/(3\/(-9)). Sort -1\/3, -7, d, -2\/5 in increasing order.\nAnswer: -7, -2\/5, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2975)\/1275*8\/42.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 57707, 233401, 526225, 936179?\n\"Answer: 58565*n**2 - n - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/10 + -59\/30. Which is the smallest value? (a) 0.016 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 139 - 139.1. Which is the nearest to 6? (a) k (b) -3\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101012102 (base 3) to base 8.\nAnswer: 16414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 283 - 135. Suppose 5*v - k = -5*m - 28, 3*m + 2*v - 70 = 0. Let j = 25 - -7. What is the remainder when j is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*z**(-2)*z))\/z)\/z)**(-6\/7)*(z**(-2\/5)\/z)\/z**(-1) assuming z is positive.\nAnswer: z**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 + 422 + w + 462 - 485 + 394.\nAnswer: w + 1104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-36)*(-72)\/(-135)*24\/16?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/(-24)*(-4)\/6. Let q = -2 - -1.7. Let r = 0.5 - 0.6. What is the nearest to r in y, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(4 + (-3)\/(-3)). Let d = 7 + -12. Let z = -3.04 - -0.04. What is the smallest value in l, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 5 - 4 - (-25 + 37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3830 + -2485. List the prime factors of l.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 + -35. What is the greatest common divisor of o and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 176*j - 1. Let a be n(1). Let o = a - 91. Suppose 0*g = 4*g - o. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*o + 1236, -1666 = -6*n + 2*n - 2*o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, k: 4, y: 3, e: 4, v: 4, x: 1}. Give prob of picking 1 e, 1 x, and 1 v.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 3. Let k(i) = 64. Give -2*g(h) - k(h).\nAnswer: -2*h - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1684.7 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*q + 6, 2*i - 5*q + q = -22. Is 1934\/12 + i\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5\/26, -5, -1\/4, -9\/4?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14451791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -888 - 2495 - 43*y + 3*y**3 + 3383.\nAnswer: 3*y**3 - 43*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 5. Let q = v - -4. Let g = q - -22. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99*l**4*t - 4828*l**2 - 1624485*t wrt l.\nAnswer: 396*l**3*t - 9656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -3.95, -79\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 60847590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3472*v + 17360. Determine j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1174791736572 and -3?\nAnswer: 1174791736569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 441670 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 14 = 5*j, j + 4*f = 5*f + 1. Suppose 3*o = j*o + 4. Suppose o*z - 7*z + 12 = 0. Calculate the remainder when 6 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -63 and -17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-4*(23530\/(-40))\/(-13). Let l = 284 + z. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 454, 3, -3, -1, -5, 36 in ascending order.\nAnswer: -5, -3, -1, 3, 9, 36, 454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11530794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 3:38 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 762 and 2032.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2036733 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1277 divided by -103\nAnswer: 1277\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5383*p**4 + 97*p**3 + 10659646*p**2 - 3.\nAnswer: -129192*p + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 - 128. Let s(y) = -10 - 8*y + p*y + 2 + 4*y. Calculate s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 9 - 1. Suppose 5 = -5*b - y + 20, 6 = l*b - 2*y. Solve c - 4*c + 5 = 4*r, 5 = 2*c + b*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -16 + -9 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 37 - 18 = -i + 2*o - 52, 0 = -5*i - 5*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1412.2 - -184125170\nAnswer: 184126582.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*x - 5*g, 44 = 2*x - 5*x + 5*g. Let z = -7 - x. Solve 0 = 4*m + z + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 36*g - 1. Let s = -8 - -9. Is 7 a factor of d(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*t + 13 = -1, w - 4 = -3*t. Let y = 6.8 + -7. Let l = -0.1 - y. Which is the closest to l? (a) -5 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510402?\nAnswer: 2, 3, 257, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 - 7 = 0. What is the units digit of -1*17*(-8)\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k**3 - 2*k**2. Let d be r(-5). Let h = d + -406. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/2)*a)**(2\/135)\/(a**7*a**2) assuming a is positive.\nAnswer: a**(-404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1782574 divided by -48.\nAnswer: -891287\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.05 + 579968.\nAnswer: 579966.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.9 + 12. What is the nearest to x in -5, -2, 95?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 42*b**2 - 82*b**2 + 0*b - 91*b**2.\nAnswer: -215*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 343259084 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/2 + 1212663*j**2 - 2425323*j\/2.\nAnswer: -3*j*(j - 808441)*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5105009 and -773156.68.\nAnswer: -5878165.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*g + 13 = 1, -4*w = 2*g + 2. Let y(o) be the first derivative of -2*o + 1\/4*o**4 - 1\/2*o**2 + w - 4\/3*o**3. Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 42 + -40.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100651886 rounded to the nearest 100000?\nAnswer: -100700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-4) - (-5)\/12. Suppose 0 = -u - 10 + 24. Suppose 10 = -4*v + 3*l, 3*v + 0 = -l - u. Which is the closest to -0.1? (a) 3\/8 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -5.6. Let o = 1 + x. Let c = o + 0.539. What is c rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108117.\nAnswer: 3, 41, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p + 380 = 0. Let t = p - -116. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7522160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 403363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - (1 + -3385) - (-237 + 233)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*(b\/(b**(-2\/5)*b*b*b)*b*b)\/b))\/(b**(-8)*b)*(b**0)**(-33) assuming b is positive.\nAnswer: b**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {m: 3, v: 2, c: 6, k: 1, d: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*y + 320 = 0, 22*y - 25*y = -4*j - 1215. Let n = -300 - j. Solve n = 10*q - 12*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54.9 - -55. Let s = 0.03 + 1.97. Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210110 + -1120?\nAnswer: 201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50394*b**3 + b - 50983*b**3 + 101414*b**3 + 3*b**2 - b - 3*b**2.\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (-24 - (13 + -50) - (-1 - -7) - 3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 112*d + 125. Let w(y) = -28*y - 31. Let f be 10 - (1 - 2\/1)\/(-1). Let k(h) = f*w(h) + 2*l(h). Is k(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-423)\/(-281)) - (-2 - -4). Is 1 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12475 + 1889. Let q = j - -18201. Suppose 4*m + z = q + 2434, -2*z = -4*m + 10058. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43562 at most 174253\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-514*a**3 - a**2 - 523*a**3 + 972*a**3)*(2*a + 3 - 3).\nAnswer: -130*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/25)\/1*(1 + 4) - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = 18 - 178. Suppose i = -8*d + 3*d. Put 0, -5, d in decreasing order.\nAnswer: 0, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d3e4 - -3?\nAnswer: 8d3e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1, 5.7, 2\/21?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/(w**19\/w)*w)\/w)\/((w**17\/w)\/w) assuming w is positive.\nAnswer: w**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(6*(sqrt(171)*2 - sqrt(171)) + 4*1*sqrt(171)))\/((sqrt(9) + sqrt(144)*4 - (sqrt(9) + (sqrt(9) - -2*sqrt(144))))*6).\nAnswer: 20*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-4)*(-18)\/63. Let c be ((-1238)\/25)\/(288\/(-30)). Let n = -26\/5 + c. Is n > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -65*n**2 + 7*n - 89. Let w(g) = 44*g**2 - 5*g + 60. Calculate -5*a(f) - 7*w(f).\nAnswer: 17*f**2 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -37669?\nAnswer: -37669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + 21*a + 15. Let b be k(11). Let u(s) = 3*s + b + 6*s - 5 + 11 - 4*s. Determine u(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8*(-3)\/(-14))\/((132\/(-77406))\/11)?\nAnswer: 2, 3, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 320641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 2*i**2 - 3. Suppose 2*r = -3*y - y + 6, 0 = -4*r - 5*y + 9. Let k be (-3)\/r + -1 + 1. Does 11 divide x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 37*d - 97. Suppose -143 = -40*l + 1457. Calculate the remainder when 89 is divided by t(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 e when three letters picked without replacement from tezeezexeet?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*m + 1 - m + 17*m**2.\nAnswer: 17*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 18. Which is the smallest value? (a) n (b) -0.1 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-65)\/(-7) - (-4)\/(-14) and (5 + -7)*11\/(-2)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.7 + -1.3. Let d = 11 + k. Let w = 2.7 - -0.3. Sort w, 0.1, d.\nAnswer: 0.1, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 44 = -161*c + 166*c, -4*c + t = -11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(-64097*c - 90*c**3 + 64097*c).\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -24.1922 - 1218.7707\nAnswer: -1242.9629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 756000 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*j - 10 = 0, -5*f = -j + 2 - 0. Let w = -3 - f. Let k(d) = -d + d - 2*d + 1. Determine k(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54423 times 2.482?\nAnswer: -135077.886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 + 9*u**2)*(2 - 7*u + 2*u + 3*u).\nAnswer: -18*u**3 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k + 19 = -3*x, 0 = -3*x - 2*k - 4. Suppose -7*u + d + 2595 = -x*u, -3*u - 3*d + 1539 = 0. Is u a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 2 - ((9 - 5) + -4). Suppose 110 = 12*l + v. Solve -10 = -l*d + 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 95\/(-171) - 1\/(-2 + -1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 473197164*x**3 - 26079762?\nAnswer: 1419591492*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h)**(-2)*h**11\/(((h**(-3\/2)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n + 4. Let v(l) be the second derivative of -3*l**3\/2 + 3*l**2\/2 + 7*l. Let s(h) = -6*v(h) + 7*z(h). What is s(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53050 by -10610.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from {c: 10, v: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*i + 56 = 56*i + 61*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + 74 - (-3 - (-2 - (0 + -5)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5 + 9 - 7 + 4*m. Let b be j(-7). Let n = b - -31. Solve -3*g + n = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in 6, -4\/19, -1?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(112)*-5*2.\nAnswer: -160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25583 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 3:47 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1561895*i**2 + 4513432*i wrt i?\nAnswer: -3123790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p + 13. Let b(v) = 28*v + 83. Let i(l) = 14*l + 41. Let t(f) = 3*b(f) - 7*i(f). Let a(s) = -11*j(s) - 4*t(s). Give a(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/24282 and -23\/29146.\nAnswer: 18624294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 2*z**2 + z - 1. Let q = 5 - 3. Let t be g(q). Put t, -2, -1 in descending order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 36 (b) 2\/9 (c) -6 (d) 0.3 (e) -1 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 128309004274.\nAnswer: -128309004270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 21 = -3*m, -4 - 11 = -3*m. Suppose 0 = 5*h - h + x. What is the lowest common multiple of 3 and h\/(1 + -4)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3441962470.87 + -3440239268.869848. Let y = h + -1723178. Let k = -24 + y. What is k rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 d when four letters picked without replacement from {d: 16, r: 4}?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -0.04 (c) 46 (d) -5 (e) -2\/11 (f) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27397, 109148, 245399, 436150, 681401, 981152, 1335403?\nAnswer: 1744154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50527861 and 3317.\nAnswer: 3317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - (4 + -8))*0. Suppose v = -2*h - 1 - 1. Is (148\/4*-1)\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(2\/5)))\/(l\/(l**(-6)*l))*(l\/l**(2\/5))**(-4))**44 assuming l is positive.\nAnswer: l**(-1936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 33*u**3 - 2*u**2 + 5*u + 5. Let r(m) = -17*m**3 + m**2 - 3*m - 3. Calculate -5*r(l) - 3*v(l).\nAnswer: -14*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 6*k**2 - 6*k - 3. Let b be s(-5). Let r(d) = -22*d + 7. Let v(w) = 7*w - 130. Let c(o) = 64. Let a(u) = 2*c(u) + v(u). Give b*r(x) + 7*a(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 142*l**2 - 1994*l - 64. What is v(-12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31249.29 years?\nAnswer: 374991.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*o + 446*o**2 + 66*o - 2*o**3 - 29*o - 85*o**4 - 114*o**4 wrt o.\nAnswer: -4776*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 190001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(14)\/(sqrt(6)\/sqrt(3))))\/(-2*(sqrt(2) + (sqrt(2) + sqrt(2)*1)*-1)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 3. Let c(i) = -9*i - 126. Let z be c(-14). Suppose -d - d - 5*n = 31, -v*d + 3*n = z. Put 2, d, -4 in increasing order.\nAnswer: -4, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 54. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 2, 36, -65, -41 in ascending order.\nAnswer: -65, -41, -1, 1, 2, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0*k\/((k*k**(-3\/10))\/k))**(5\/12)*(k\/((k\/k**(6\/5))\/k))\/(k*k**(1\/9)*k)*k**(1\/4)\/(k*k\/(k**1\/k)) assuming k is positive.\nAnswer: k**(-403\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28606 or -38134?\nAnswer: -28606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/11*110\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqwc when four letters picked without replacement from {c: 4, e: 1, a: 4, q: 5, w: 5}.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33182745.\nAnswer: 3, 5, 2212183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -11. What is the units digit of (2 - 0 - y) + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3817 in -5, -1849, -1\/6, 0?\nAnswer: -1849","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/(-4 + (-132)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48508961 to the power of 1\/2, to the nearest integer?\nAnswer: 6965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15150519 or 15150530?\nAnswer: 15150519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -80, 75, 262, 481, 732?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let z(k) = 2*k - 1. What is -5*j(i) + 4*z(i)?\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 9. Let b be r(-7). Let t(k) = k**2 - k - 1. Let z be t(b). Calculate the greatest common divisor of 45 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 12. Let d(i) = -i + 15. Determine d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 3*m + 0 + 0 - 4. Let n be x(-2). Let q = 0.1 + -0.3. Put q, n, 2\/3 in increasing order.\nAnswer: q, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-20228)\/130*((-64)\/4 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 199680*j**3 - 2491407288*j**2 + 14953835520*j - 22433449284.\nAnswer: -4*(j - 3)**2*(j + 24963)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -275, -264, -257, -254?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 10. Let w(a) = a**3 + 4*a**2 + 3. Let k be w(m). Suppose 2*c + 4*t = 90, -2*t - 3*t - 91 = -k*c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 280, 582, 984, 1480, 2064, 2730?\nAnswer: 3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/8 of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -278 + 277.671. Round x to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -31, -3\/5, -1, 1\/5.\nAnswer: -31, -1, -3\/5, -2\/17, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -14801*l + 3912. Is o(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - -48 - 77 - (-1 + -1 - (-6 + -30)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 3)*-1 - -3. Suppose k = -u*k. Solve p + 3*z + 9 = k, 5*p - p - 2*z - 6 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1680 + 1680 + 24*n**4 - 23*n**2 wrt n?\nAnswer: 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u**3 - 154*u**2 + 124*u + 40 = 0.\nAnswer: -10\/41, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2144 - -2123) + (23 - (-5 + 6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 366.2866 decades to months.\nAnswer: 43954.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*(sqrt(1872) + 3)*-3*-1)**2.\nAnswer: 93312*sqrt(13) + 2437776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184565.\nAnswer: 5, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97419 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5\/5 + 2*q**4 + 28*q**3\/5 = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -6)*2\/4. Let x be (-1 - -1)*(a + -1). Solve -2*w + 2 = -x*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in seconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*q + 54*q + 57*q + 43*q + 62*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8752 = 4*z, 10936 = 5*z - 6*m + 2*m. Suppose -4*y - z = -3*q, -9 = -13*y + 16*y. What is the remainder when q is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2077222440?\nAnswer: 2, 3, 5, 29, 59, 67, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*h = 199*h + 4050. Calculate the remainder when h is divided by 106.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/615*330 + 37?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4910 - -4910. Which is smaller: 4514 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5)*-3 + 0)**2 + ((-1*sqrt(17) + 5)*3)**2.\nAnswer: -90*sqrt(17) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*w + 19 = -0*w, -5*w = -2*g - 11. Suppose 0 = g*s + 5*z - 2, -3*s + 5*z = 6*z - 16. Let h(i) = 0*i**2 + 4 - s*i + 0 - 7 - i**2. Give h(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 4. Let h = 7 + -4. Let d be r(h). Let l(b) = -5*b + 1. Let a be l(1). Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 19 + 0*l**3 + 0*l**4 - 31\/6*l**6 + 0*l**5 + 7*l - 3\/2*l**2. Find the second derivative of o(g) wrt g.\nAnswer: -620*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*l = -4*f + 56, 2*f - 2*l = 44. Let r = f - 19. Let c(v) = -5*v - 22. Let s be c(-8). Solve -5*m + u - s = -0*m, 0 = 5*m - r*u + 30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/880 and 131\/220.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g - 3. Let a(p) be the third derivative of -19*p**4\/24 + 11*p**3\/6 - 133*p**2. Give -6*a(c) - 22*y(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/68 in -1\/3, -7, -8, -5\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 68. Let j be p\/10*5\/(-1). Suppose 0 = -4*t - j, -2*f - 5*t + 2 = -3*t. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 370 - 384.4. Let g = -14.6 - l. Which is the nearest to 1? (a) -2 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 12720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112 (base 4) in base 5?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 2*q - 40. What is the remainder when u(9) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/20 (b) 1\/6 (c) -11 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/1058, 3, -1, 50?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -970054 divided by 34.\nAnswer: -28531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 3*s - 2*s)*(1021 + 315 - 139) to the form y*s + f and give y.\nAnswer: -7182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-1150)*((-36)\/(-96))\/(2*33\/440).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 734, 1531, 2330, 3131, 3934?\n\"Answer: h**2 + 794*h - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 16) in base 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + sqrt(1458) + -3*((sqrt(1458)*-4 - sqrt(1458)) + sqrt(1458) + sqrt(1458)))\/(-3*(sqrt(216) - sqrt(216)*-2) - sqrt(216)).\nAnswer: -33*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 414*j - 420*j + 3 - 4 + 7. Let v(h) be the third derivative of h**3\/6 + 2*h**2. Let i(s) = p(s) - 2*v(s). What is the derivative of i(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168323*q**2 + 222782*q?\nAnswer: 336646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**2 - 2*j**4 - 6*j**2 + (-2*j**2 - 4*j**2 + 5*j**2)*(j**2 + j**2 + 0*j**2 + (0*j + 0*j - j)*(3 - j - 3)).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2589, -10384, -23377, -41568, -64957, -93544?\nAnswer: -127329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8849 + 8259 = 10*s + 3*s. What are the prime factors of s?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 8*u - 82 = 22*u - 2*a, -7*u = -6*u + 3*a + 36 + 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -15.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 151, 304, 457, 610, 763?\n\"Answer: 153*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001742748 rounded to six decimal places?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251 - 125. Suppose 0 = 5*z - 204 - x. Calculate the remainder when z is divided by 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 - 12*s**2 - 2*s**3 - 2*s + 5 - 4*s**2 - 3*s**2 - 4 as q + c*s**4 + g*s**2 + j*s**3 + i*s and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50 + (-74 - -18) - (-1 + -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 577*g + 42267. What is s(-154)?\nAnswer: 841","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - p + 3*p - 4*p**2 - p**3 + 2*p**3.\nAnswer: 2*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 734 = 2*v + 732 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4329*x**3 - 4*x**2 - 2*x + 4. Is r(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8589145 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34\/(-51))\/((-1)\/3). What is the second derivative of 2 + 2*o**l - 2500*o - 23*o**2 + 2506*o - 2*o**4 wrt o?\nAnswer: -24*o**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:33 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = -3*r + 13, -r - 5 = -2*j. Suppose -p = -s - 3, 3*s - 4*p - 16 = -6*p. Let n be s\/(-28)*4*-14. Solve 4*b - n - 12 = 0, -4*b + 25 = -j*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 204, -36, 7, 9 in decreasing order.\nAnswer: 204, 9, 7, 2, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2*p + 0*p - 7*p + 2*p.\nAnswer: -3*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 + -46. Put -9, -1, c in increasing order.\nAnswer: -9, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3910 - 3854. What is the remainder when z is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 3.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 + 401 = 66*m + 17*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 396*b + 8413. What is a(-20)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 228760888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49259040 and 600?\nAnswer: 246295200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -58. Let i = -11 - -27. What is the remainder when g is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2590 * 0.14\nAnswer: -362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -4707?\nAnswer: -4702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2401, -2404, -2407, -2410, -2413?\nAnswer: -2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73657 is divided by 7029?\nAnswer: 3367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, -18, -157, -366, -645, -994, -1413?\nAnswer: -1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250002 and 23579?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 290, 1, 4, -5, 896 in decreasing order.\nAnswer: 896, 290, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.037, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*u - 41 = 0, 24 - 4 = 4*u. Let l = 11227 + -11229. Put i, 0.5, l in increasing order.\nAnswer: l, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32548511 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 - 667028*l**3 - 222462509360*l**2 - 74193249022137700*l\/3 + 74195251202731750.\nAnswer: -2*(l - 3)*(l + 333515)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnaa when four letters picked without replacement from naaann?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23664790.\nAnswer: 2, 5, 41, 57719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + (-1 + sqrt(931) - sqrt(931)))**2 + 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 632 and 35234?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 5*j + 3*j)*(4*j**2 - 2*j**2 + 0*j**2) - 15*j**3 - 13*j + 13*j.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -1.58\nAnswer: -0.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -7*t**4\/6 + t. Let d(i) = 17*i - 78*i + 19*i + 20*i + 21*i. Determine d(q(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1773.0476 and 0.28?\nAnswer: -496.453328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4 - g + 0*g - 5 + 5. Let f be q(-7). Find the first derivative of f - 4*c**4 + 3 + 5*c**4 + 0 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 24 in descending order.\nAnswer: 24, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 809568223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(931))**2*-2 - (-4 + sqrt(19) + 4))*6.\nAnswer: -67032 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m - 38. Let t = m - -15. Let z be t + 2 + 10 + 1. Solve -4*l - 3 = -y - 0, z = -4*l - 5*y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 12 + 32, 0 = -4*m - 3*z + 272. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 1363*t\/5 + 1358.\nAnswer: (t + 5)*(t + 1358)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1739, 1750, 1761?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 228*j - 1. Let w(k) = 3*k**2. Give w(g(q)).\nAnswer: 155952*q**2 - 1368*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5400 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - 2*y**2 + 8*y - 5. Let j be t(1). Let p be 9\/9 - (j + 11\/7). Which is the second biggest value? (a) 0.1 (b) -1\/32 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j. Suppose 2*p - 3 = -b - p, 5*b - 3*p = -3. Let y(d) = b + 0 - 5*d. Calculate r(y(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-3\/2))\/(q*q\/((q**(-4)\/q)\/q)*q*q)*q**(-7)*q**(1\/4)*q*q*(q\/q**(-1))**(-15)*(q**(-2\/3))**46 assuming q is positive.\nAnswer: q**(-899\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771 - 770. Let a = -10.13 - -0.13. Is a >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = -7*s. Let w be (-14)\/8*-4 - (3 - s). Solve -1 = -w*y + 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1158*x + 367*x + 135*x + (9*x + 0*x + 0*x)*(1 - 2 + 3) to the form h + a*x and give a.\nAnswer: 1678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2. Let d(y) = -6*y**2 - 1. Let m(c) = 7*c**2 + 1. Let k(n) = 6*d(n) + 5*m(n). Let s(i) be the first derivative of k(i). Give s(g(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**3 + 2*s - 2*s**2 - 2*s - 2*s + (3*s**2 - 8*s**2 + 2*s**2)*(-3*s - 2*s + 3*s).\nAnswer: -2*s**3 - 2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 3804 - -5*(-24)\/(-40). What is h rounded to the nearest one hundred?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 185 - 185)*(-4 - 1 + 3) + 2*w + w - 4*w as y*w + q and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18.2 and -52322248547.23?\nAnswer: 52322248565.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - b = -13, 0 = -m - 0*m + b + 7. Let u = -19 + 27. Calculate the smallest common multiple of m and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.003 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -8347.\nAnswer: 9181.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by 2\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/64228 and 81\/160570.\nAnswer: 321140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-361350)*-33)\/(1\/(-5)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64765 is divided by 122?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -39*d**4 + 5*d**2 + 5*d + 31. Let i(w) = -40*w**4 + 6*w**2 + 6*w + 31. Let y(u) = 5*i(u) - 6*z(u). Differentiate y(v) wrt v.\nAnswer: 136*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 1. Let s(m) = 4*m. Suppose -3*g = -0*g + 12. Let w(u) = g*s(u) - 5*h(u). What is the first derivative of w(f) wrt f?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riviyviviiviyivbrnv. Give prob of sequence ir.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 24*v = -29*v + 5, 5*b + 4*v = 31 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75732318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 37. Let a be k(-10). Let v(y) = y - 5. Let t be v(a). Suppose t*f = 7*f - 15. Let n(p) = p**2 - p - 4. Give n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 373000 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 44.581.\nAnswer: -8.9162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/30)\/((84\/15)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 258*d - 1. Let j(n) = 257*n - 2. What is -4*j(l) + 5*y(l)?\nAnswer: 262*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 16*o**3 + 16*o**2 - 60*o - 72 = 0.\nAnswer: -3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*t*u - 973265*t - 341*u with respect to u.\nAnswer: 67*t - 341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3861283?\nAnswer: 37, 79, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6*a**3 - 2*a**2 + 2. Let y be m(-1). What is the nearest to y in -5, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 5:13 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -259 + 259. Let n(h) be the first derivative of -2\/35*h**5 + 1\/7*h**4 - 2\/21*h**3 + 1 + k*h**2 + 0*h. Determine s so that n(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6804 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-8) - 251572\/(-9232)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 1220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**5\/30 + 89*t**4\/12 + 30*t**3 + 271*t**2\/6 + 181*t\/6 + 2771. Determine v, given that h(v) = 0.\nAnswer: -1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 25*p - 2. Let f(o) = 5*o**3 + o**2 - 1. Calculate f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 - 4*c - 8. Let a(d) = 28*d**2 - 38*d - 76. Let i(u) = -6*a(u) + 57*s(u). Let p(g) = -11741*g. What is i(p(m))?\nAnswer: 413553243*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178085259 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 s when four letters picked without replacement from {s: 2, l: 1, g: 2, k: 1, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -58.1. What is the biggest value in 6, m, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + 8*o**2 + 2*o + 2. What is z(6)?\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 560 and 38808?\nAnswer: 388080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.038.\nAnswer: -0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 - 2.6. Put -12, -3, l in increasing order.\nAnswer: -12, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614450 to the power of 1\/2, to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 169*u - 1246. Give m(7).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301.6331562 take away 5?\nAnswer: -1306.6331562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 6249103*l.\nAnswer: -l*(l + 12498206)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**7\/630 + w**6\/180 - 2*w**2 - 90*w. Factor b(l).\nAnswer: -l**3*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + -417355?\nAnswer: -417386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3 + 7. Suppose -3*c + 4*k = -2*c + v, -5*c + 13 = k. Solve -2*f + 2*z + 7 + 7 = 0, 5*f + c*z - 21 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72*-5.8\nAnswer: 417.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.1 (c) -3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2109 and 33116221.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 - (-28 + 10 + 44).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9069 is divided by 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*v**2 + 90*v**2 - 146*v**2 + ((0*v + v - 3*v)*(-4*v - 3*v + 5*v) - 3*v**2 - v**2 + 3*v**2)*(0 - 4 + 1) as m*v**2 + l*v + t and give m.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) - (-2)\/4. Calculate the remainder when ((-2)\/(-5))\/(b\/55) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2 - 36*a - 34 = 0. What is a?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*q**2\/4 - 127*q\/6 - 2 = 0. Calculate q.\nAnswer: -6\/77, 4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of 0 + 6*m - 1\/3*m**3 + m**2. Determine o(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - l - 3*l - 2*l + 7*l - 7*l - 5*l**2 as n*l**2 + t + q*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 119*h = -249*h - 3751 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/6 (b) -2\/5 (c) 758\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**2 + 33*y**2 + 21*y**2 - 96*y**2 to the form n + i*y**2 + k*y and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 722909*h**2 - 550*h - 825. Let k(u) = 10477*u**2 - 8*u - 12. What is 4*j(d) - 275*k(d)?\nAnswer: 10461*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -46*y**2 + 6. Let w(r) = 12789*r**2 - 1666. Determine 1666*t(f) + 6*w(f).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225 - -119) + 95 - (2 + 4 + (0 - 1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 106 = -10. Suppose 8 = -d*t + 20*t. Let a be (-18)\/(-5) + 2\/5. Calculate the highest common divisor of a and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a = -12*a + 1294. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 969*k - 152. Let r(f) = 19*f - 3. Give 152*r(q) - 3*w(q).\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3147.1 - -2946. What is q rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 1029.\nAnswer: -1543.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -341 + 3754\/11. Suppose 10*c + 45 = 9*c. Let i be 6\/c - (-2)\/15. Is t greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -263 - a100?\nAnswer: -a363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.1 + 0.1. Let h be (56\/(-5))\/2 - -3. Let i = h - -3. Which is the second smallest value? (a) -2\/13 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58733412 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + -1 + (sqrt(204)*2)\/sqrt(12) + -2.\nAnswer: -3 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 182601818 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 3*u - 7, 3*t + u + 5 = 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -57 + 13 + 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.53204 to 0 decimal places.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -377*f + 275. List the prime factors of c(-18).\nAnswer: 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -136*f + 106. Let a be l(-3). Let i = a - 362. What is the greatest common factor of i and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7333255 to the nearest integer?\nAnswer: 2708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00144361538 to six dps.\nAnswer: -0.001444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -28*r. What is the remainder when z(-2) is divided by (-19)\/(855\/(-825)) - 4\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 less than -47\/140588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -294 - -2053\/7. Let c be -3 - 1\/(4\/20). Let b be (3\/1)\/(12\/c). Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3791, 7579, 11361, 15137?\n\"Answer: -3*n**2 + 3797*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14899075 rounded to the nearest 100000?\nAnswer: 14900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**2 + x - 5. Let l(y) = -12*y**2 + y - 9. Let z(d) = -3*l(d) + 5*w(d). Give z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22694, -24371, -26048?\n\"Answer: -1677*l - 21017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/937 - 1400783\/1874. Let r = l - -720. Let b = 10\/1019 - 94967\/20380. Calculate the common denominator of r and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -18178.\nAnswer: 1\/9089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(8 - 12). Suppose -r = 4*r - 20. What is the closest to -0.2 in -1\/3, q, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*q + 2*p - 43, 3*q - 3*p - 27 = 0. Let o(b) = b**3 + 5*b**2 + 6*b + 1. Let x be o(-4). Let t = 13 + x. Solve -q = -5*s + t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0.3 (c) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 + 3*o**2 + 5*o**2 + 2*o to the form q*o**2 + b*o + t and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + 5 + sqrt(405) + 2 + 1)**2.\nAnswer: -2104 - 792*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 87 (b) -0.04 (c) 1 (d) -0.05 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/1073 - -2164\/9657. Suppose -5*s = -2 + 12. Which is the smallest value? (a) -2\/9 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 5*g**2 + 2. Let y be u(-4). Suppose -r + 5*r - 16 = 0. Let j be (-6)\/r*(-40)\/12. Solve -2 - y = -j*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61, -83, -151, -289, -521, -871, -1363, -2021?\n\"Answer: -4*l**3 + l**2 + 3*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 13. Suppose 0*r + 3*r + 5*a - 76 = 0, -3*r - a + 56 = s. Suppose -r = 3*m - 4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-14\/5)\/w**6 assuming w is positive.\nAnswer: w**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 - -164. Calculate the remainder when 90 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -695 - -710. Calculate the remainder when (112\/6)\/((-3)\/(-9)) is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*d, -5*s - 25*d + 21*d = -23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4038, 4027, 4006, 3975, 3934, 3883, 3822?\n\"Answer: -5*z**2 + 4*z + 4039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5907114 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 13.3. Let h = x + -1.1. What is the second biggest value in 0.1, -10, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (4 - (-3 - 0 - -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*g - 3*m, -1 = -4*g + 2*m + 5. Let s be 25\/(6\/(-4) + 2). Suppose 3*i - l - 158 = g, -2*i - s = -3*i + 3*l. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 74*n - 13)*(3 - 7 + 1).\nAnswer: -222*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 5) + (0 + 5 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 888197 is divided by 806?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6 - -1057073581.\nAnswer: 1057073576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = 24. Let g be (-1*1)\/(4\/p). Suppose 0 = 2*j - 6 - g. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 - (8 - (-9 - -12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 23.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -114162?\nAnswer: 25\/57081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -704145 by -10205.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -6757 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -701, -1579, -2809, -4391?\nAnswer: -6325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h**2. Let f(u) = -2*u - 6. Let p(n) = 5*n + 14. Let v(g) = 7*f(g) + 3*p(g). Give v(z(t)).\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 36 = 6. Calculate the remainder when 40 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -404323433 + -5?\nAnswer: -404323441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + ((-7)\/(-21) - 28\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 0*o**3 - o**3)*(4167*o - 11899*o - 1879*o - 4471*o).\nAnswer: -14082*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 145385?\nAnswer: 5670015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-20))\/((-17)\/(1904\/(-1974)))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/18561 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 1597718*i - 43136928.\nAnswer: -2*(i + 27)*(i + 798832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 12) in base 13?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -0*a + 2*j + 8, -16 = 2*a + 4*j for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -14260.8 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 14?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 135450*p + 270888.\nAnswer: 3*(p + 2)*(p + 45148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 7177231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 2*s + 25. What is the units digit of v(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -2 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) - (-8)\/(-36). Suppose -3*z + 2*g = -14 + 10, 0 = 3*z - 3*g. Put r, 2, 3, z in increasing order.\nAnswer: r, 2, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-768)\/(-480)*(-1)\/((-4)\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**3 + 9*r**2 + 11*r - 18. What is n(2)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/11 + 2082*y**4\/11 - 675108*y**3\/11 + 43273440*y**2\/11 + 10735545600*y\/11 - 851565312000\/11 = 0.\nAnswer: -117, 78, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255 - 290. Let v = b + 35.00365. Round v to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1)*17\/(-3). Solve h - 7 = -5*d + 5*o, 6 = d - 5*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 1)*(-121)\/(-66)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2028125?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 2*w + 11. Let r = -17 + 17. Let x be g(r). What is the greatest common factor of 77 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*n, 12*n = 3*q + 13*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 - 2*v. Let a(m) be the second derivative of 0*m**2 + 1\/6*m**3 + 0 + 8*m. What is a(f(q))?\nAnswer: 6*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccww when four letters picked without replacement from {c: 2, w: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2819 + -2.28. Round q to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 2:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133\/38*7\/(49\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15, -58, -99, -132, -151?\n\"Answer: d**3 - 5*d**2 - 35*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 67*w + w**2 - 198*w + 63*w + w**2 + 59*w + 4. Give h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -t + 24, -5*d + 2*t + 0*t = 61. Let m(a) = -a**3 - 11*a**2 + 18*a + 11. What are the prime factors of m(d)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 1 (c) -0.08 (d) -2 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y. Suppose -2*w - 4*m - 163 + 183 = 0, -3*w - 6 = -3*m. Determine b(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f. Suppose f = -0*i - 3*i - 5*m + 616, 3*i - 612 = -3*m. Let j = 2220\/11 - i. What is the third biggest value in 0, j, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001 (base 2) in base 8?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(119)\/sqrt(7) + -2))**2.\nAnswer: 216*sqrt(17) + 936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from kkkokookkkkkkkkkokok.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 12) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 + 4 + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.22 + 0.32. Let y = z + 6.9. Which is the biggest value? (a) -0.04 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {j: 2, f: 3, z: 1, k: 4, y: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 + 2 - 1 - 5 to v*b + l*b**3 + d*b**2 + j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/20 - -4\/5. Let v = -64892 + 64893. Which is the second biggest value? (a) 1\/3 (b) 0.05 (c) v (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 1 = 5. Suppose x + 18 = i*x. Calculate the remainder when 34 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*f + f + 36, -3*f - 2*p = -76. Let k be (607\/(-2))\/((-14)\/f). Suppose -k = -z + 4*u - u, z = 4*u + 605. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o**2 + 3*o**2 + 0*o**2 + (-o + o + 2*o)*(0*o - o + 0*o).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -53800 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*n**3 - 18*n**3 + 3*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -271a?\nAnswer: -2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -180112000 rounded to the nearest one million?\nAnswer: -180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030567 to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/72)\/1*18*(-2)\/(-8).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2375 - 2090. List the prime factors of b.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - (-74 + 42 + 54).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 64*m**2 + m + 1. Let q be b(-1). Suppose -q = -4*i + 28. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605764081517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/450 and 41\/41891050.\nAnswer: 377019450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 89\/43?\nAnswer: 89\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 333*f - 332. Let n be p(-112). Solve 0 = -2*i - r + 3 - 6, -n*i = r + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 459 - 86.\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30\/33253, 4\/5, -1\/4 in decreasing order.\nAnswer: 4\/5, -30\/33253, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 5) to base 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -112212021122?\nAnswer: 112212021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 99152693158 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261351 divided by -3681.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.0211 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*p - 21*s + 22*s, -4*s - 90 = 98*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:41 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + -2.04. Let w(u) = u**2 + 2*u - 23. Let f be w(-6). Let m be f\/(-4)*(3 + 15\/(-3)). Which is the closest to j? (a) m (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z - 1. Suppose 5*c + 12 = -3*f, -2*f + 14 = -3*c - c. Let m(t) = 5*t**2 + t + 1. Determine f*m(h) + w(h).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 240 = -5*n. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:31 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z + 15 = 0. Suppose 5*x = 5*y - 30, -15 = 2*x - 0*y - z*y. Let i(q) = q**3 + 6*q**2 + q - 7. Give i(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1315*h + 45488 = 3408 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -11. Which is bigger: i or -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4717221.\nAnswer: 3, 1572407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -49\/4. Let s = -132\/413 + 2\/59. Put 4, s, c in descending order.\nAnswer: 4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31b6 (base 12) to base 6.\nAnswer: -41150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 18*f**3\/7 - 8*f**2 - 66*f\/7 + 8\/7 = 0?\nAnswer: -1, 1\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 + 28 - -26) + 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 2678*y**3 + 1350*y**3 - 3*y**2 + 1332*y**3 + 10*y**4 to the form r*y**2 + l*y + h*y**4 + v + a*y**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -3?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*a - 21, 44*a - 13 = 47*a + b for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 295 + -173. Suppose k = 11*r - 9*r. Suppose 0 = -0*d - 4*d - 3*j + r, -2*d - j = -29. Solve -5*y = -d - 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1084 (b) 5 (c) 8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75.50465ug?\nAnswer: 0.00000007550465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-h**3 - h**2 + h**2) - 319*h**3 + 1127*h**3 + 2106*h**3.\nAnswer: 2913*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10391401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 28 = 4*g + 5*d, -2*g + 16 = 2*d. Suppose b + 5*c - 6 = 0, g*b + 0*b + 8 = -4*c. Let s be 513 + 0 + 1 + b. Round s to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 1203233111220?\nAnswer: -1203233111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/60*y**5 + 1\/24*y**6 + 4*y**2 + 0*y - 1\/6*y**3 - 1\/24*y**4 + 0. Calculate f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 1627680.\nAnswer: 17904480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -12, 2, -1, 9, 4 in increasing order.\nAnswer: -12, -1, 2, 4, 9, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 + 436*x**2 - 22606*x - 451. Give r(133).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5810 + 5812. Which is the biggest value? (a) 0.3 (b) -17 (c) -7 (d) k (e) -3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 514099. Let x(k) = -59*k. Determine s(x(i)).\nAnswer: 59*i - 514099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*15\/2*18. Put -2, 0, c in increasing order.\nAnswer: c, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 163\/(-3) + (0 - -2). Let t = j + 53. Which is the closest to t? (a) 1\/5 (b) -4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, s: 6, r: 1}. Give prob of sequence ssr.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*u - 15, 4 = 3*u + p + 7. Is 12 a factor of 1 - 1 - (u + 3 + -1037)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 1505*p**2 - 18600*p - 56340.\nAnswer: 5*(p - 313)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + 1*sqrt(72))*-4)**2 + 2)*1.\nAnswer: 4610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 = -2. Let a(o) = 6*o**2 - o - 1. Determine a(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*l - 194*l + 2656 = -1942. What is the greatest common factor of l and 10527?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22080653.\nAnswer: 7, 3154379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = -4. Is 10 - (-2 - m*3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243.1642 + 243. Let t = 0.0358 - r. Which is the nearest to 0? (a) t (b) 1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*r + 375 = -65*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/((((m*m\/((m\/(m*(m**(-15\/4)\/m)\/m)*m)\/m))\/m)\/m)\/m)*m)*m**(3\/8)*m)**(-44))**(-1\/59))**(-2\/9) assuming m is positive.\nAnswer: m**(187\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.144 - 0.044. Suppose 3*z - 4*y + 1 = -12, 0 = -5*z - 5*y + 25. What is the closest to c in z, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -208 - 70. Let y = n - -277. Let z = -1\/317 + -619\/4755. Is y smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(10)\/(sqrt(12)\/sqrt(6)) + sqrt(5) + sqrt(5) + sqrt(5) + (sqrt(5) - (sqrt(80) - sqrt(80)*1)))**2.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35692151281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 + 2*k**2 - k**3 - 2*k**2 + 6*k**2 - 3. What is the units digit of x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 122. What is the remainder when b is divided by (30\/(-9))\/(4\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -0.5 (c) -18 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -301284*m**2*r**2*s**2 - 16*m**2*r**2*s + 2*m**2 + m*r*s**2 + 21*m*s**2 - 3*m*s + 23021*r*s wrt r.\nAnswer: -602568*m**2*s**2 - 32*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 413951 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: What is the second smallest value in 0, -0.6, 56, 0.131, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**4 - 450*m**3 = 0?\nAnswer: 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 76*d\/9.\nAnswer: 2*d*(d + 38)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12351954, -12351999, -12352080, -12352203, -12352374, -12352599?\nAnswer: -12352884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 336\/49 + 3 + (2 - 102\/21). Let v(d) = d. Let m(r) = -r. Calculate i*m(w) + 4*v(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12500*s**4 + 4*s**2 + 792274*s wrt s.\nAnswer: 150000*s**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-292 - 25*p**2 + 292 + 0*p**2 - 3*p**2 + 0*p**2 + (-2*p + 2*p - p)*(0*p + 0*p + 2*p))*(-4 + 3 + 3).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w**3 + 3*w**2 - 2*w - 5. Let u be d(3). Let n = u + -54. What is the remainder when 299 is divided by n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -67 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79140 is divided by 11302.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4521, 4519, 4517, 4515, 4513?\n\"Answer: -2*g + 4523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33348\/5 - 6669. Suppose -t + 0*n - 8 = -2*n, 8 = 4*t + 2*n. Factor 0*v + 3*v**3 - 6\/5*v**2 + s*v**5 - 12\/5*v**4 + t.\nAnswer: 3*v**2*(v - 2)*(v - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 13, o: 3, u: 2}. What is prob of sequence uo?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1700) + 5) + sqrt(1700) + -2*(3 + sqrt(1700)))**2*-2.\nAnswer: -3432 - 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t**2 - 120*t - 20. What is h(-15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*z - 45, 6*y = -2*z + 2*y - 34. Let a(q) = -5*q. Let t(j) = 16*j + 1. What is z*a(g) - 2*t(g)?\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*r**4 - 52*r**4 + 67*r**4 - 3*r**2 - 11*r wrt r?\nAnswer: 2784*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -4*p**3\/3 - 37646. Let q(n) = -2 - 68*n + 2. Give j(q(z)).\nAnswer: -18496*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -315200, -315033, -314866, -314699, -314532?\nAnswer: -314365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiivzzz. What is prob of picking 1 i and 3 z?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -302\/1615395?\nAnswer: -302\/1615395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -12. Let m(t) = -t**2 - 10*t + 6. Is 16 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, 4, 1695 in decreasing order.\nAnswer: 1695, 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49885 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 432421411 (base 5) to base 3\nAnswer: 10110120220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73028888 rounded to 2 dps?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-47 - -37)\/(4\/(-24)) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/(-25))\/(1\/(-55)). Let l be (-17562)\/(-33) + (-12)\/k. Let y = 897 - l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -2080200616.35?\nAnswer: -2080200616.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 19*r - 10. Let t be 4 - 1 - (-7 - (-42)\/6). List the prime factors of u(t).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0 + 5. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 - -9. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 331636.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 - 105*g + 247. Let h be w(3). Let u(f) = 7*f**2 + 6*f + 2. Let t(s) = 3 + 4*s - s**2 + 0 - 4 - 5*s. What is h*t(n) - u(n)?\nAnswer: -2*n**2 - n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 4*p**2 + 8*p + 10. What is g(-4)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 889740113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1368 + 5634*d**3 - 1368 - 5636*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 266*t. Let d(l) = 7*l. Let z(v) = -77*d(v) + 2*o(v). Let r(p) be the second derivative of -1\/2*p**3 - 3*p + 0*p**2 + 0. Determine z(r(q)).\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, k: 4, u: 3, e: 2, d: 2}. What is prob of picking 2 d and 1 i?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 5:54 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 10 = 7*j. Suppose 6 = -2*w - j*o, -2*w = w - 3*o + 9. Let x(k) = 2*k**2 - k - 2. Calculate x(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - (18 + -14) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 9. Let b(d) = 3*d + 10. Let l(i) = 4*b(i) + 5*v(i). Let r be l(5). Suppose -k + 4*a = 15, 2*a - 5 - 2 = k. Solve -r*c = k + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*m - 63. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585882 = 89*v + 10*v. List the prime factors of v.\nAnswer: 2, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24206c (base 14) to base 10\nAnswer: 1234896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3712)\/208 - -18) + 11\/13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 383 = 401. What is the lowest common multiple of 15 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 369?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/5 - 13\/15. Let x be (0 - -1)\/(15\/(-6)) + 0. Which is the smallest value? (a) x (b) 4\/9 (c) l (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, -1\/2, -2\/23, -2, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 5:38 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsnu when four letters picked without replacement from fubunbs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + 163. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 18 - 22, -10*n = -3*r + 26. Solve 2 = -d + w + 6, 9 = d - r*w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -21*r + 389. Give t(18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 3 - 3 + 0*r**2. Let a(h) = -3*h + 0*h + 0*h. What is a(o(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2) - 30\/(-4). Suppose -j*s + 9*s = 95. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 601316394.8 to the nearest 100000.\nAnswer: 601300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 + 58669*z**3 + 2 - 30 - 58671*z**3 to the form d*z**3 + c*z + x + h*z**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 157256326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3)\/d)\/d)\/d**12)\/(d**(2\/25)*d*((d**2\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(-427\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 41*g - 44*g - 40518 = 0, -13*l = -3*g - 175498. What is the remainder when l is divided by 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 29 = -3*u, -4*u - d = -3*d - 36. List the prime factors of (-1506)\/(-27) + u\/(126\/4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = h - 7, -5*h - k + 0*k = -16. Calculate the remainder when 3 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 7. Suppose -2*b = b - o. Let r(l) = -l + l - 5*l**b + 3*l**2. Let g(x) = x**2. Determine r(g(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2\/5 - i\/5 - 2\/5 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 10, -37, -136, -305, -562, -925?\nAnswer: -1412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 + 157. Sort -5, -27, m in decreasing order.\nAnswer: m, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 21 = 280. What is the common denominator of (r\/86 + -3)*25 and 113\/20?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = 10*q + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 80, 6 in ascending order.\nAnswer: -5, 6, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:48 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 182, 275, 366?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (100\/(-20))\/(35\/(-14)). Put 14\/9, x, -2\/3, -1\/9, -0.06 in decreasing order.\nAnswer: x, 14\/9, -0.06, -1\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42039671?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/10 - 11*o**3\/6 + 6*o**2. Differentiate i(d) wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4231 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k + 7*k - k - 9. Let q(z) = -z. Give l(q(m)).\nAnswer: -3*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24313994.\nAnswer: 2, 1979, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 23, -1\/8, 21, 5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**3 - u**2\/2 + u + 1. Let a(i) = i**3 + i**2 - 3*i + 2. Let k = -45 + 46. Let b be a(k). Determine w(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813840191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3552 and -109\/84.\nAnswer: 24864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 14 = 2*r, -3*q - r = q + 15. Suppose 4*y - 8*y + 16 = 0. Suppose 3 = c - w, -2*c + 10 = 2*w - y. Sort 1, q, 3, c in decreasing order.\nAnswer: c, 3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -10*p. Let b(h) = 659*h - 4. What is b(s(g))?\nAnswer: -6590*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*p + 66, p - 6*p = -2*q - 45. Let o be (3\/5)\/((-3)\/q). Factor g**2 - g + 1\/3 - 1\/3*g**o.\nAnswer: -(g - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k + 2*k. Let y = -4 + k. Let t(q) = -q - 6. Let h be t(y). Solve -2*r + 10 = -2*g, 6*r - 2*r - 12 = h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 11*a**2. Let t be b(11). Let s be (-2)\/9 + 2\/9. Let v = t + s. Solve v = z + 2*z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g*i**3 + 7*g*i + g*m + 2*i**4*m + 2*i**3*m - 6*i**2*m - 2*i*m wrt i.\nAnswer: 12*g + 48*i*m + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from lbjeeqqjjbmj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199243 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 3*m**3 - 11*m**2\/2 - 8*m + 39. Calculate h(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 33*l - 229. Let f be x(6). Solve 0 = 3*b - 2*b + f*u + 5, -9 = -b + 2*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 1.16, -97?\nAnswer: 1.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 291655449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0 - 1\/8*s**2 + 5\/4*s = 0?\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -3) + 5 - 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8*(-469)\/(-469).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -105455, -421714, -948813, -1686752, -2635531, -3795150, -5165609?\n\"Answer: -105420*x**2 + x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (-18 - -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 33. Let o be 2*-1*(-20 + a). What is the common denominator of -139\/6 and 0 + -2 + ((-68)\/o - 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 6*u - 2. Let s be k(4). Suppose -g - 24 = -s*i + i, -2*g = 3*i - 4. List the prime factors of (i\/2)\/(0 - (-4)\/538).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9706227.\nAnswer: 3, 3235409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 19*i**3 - i**2 - 2*i - 1. Let g be p(-1). Let z = g + 17. Is 1*((256 - 3) + z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2619?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 77 = 10*g - 31. Which is the third smallest value? (a) -4\/3 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 46. Let q(n) = -n**2 - 670*n - 3313. Let u be q(-5). Calculate the greatest common divisor of s and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 8. Let c be l\/4 + (-4)\/8. Solve -4*p + t - 11 = 0, c*t = p - 23 + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by (-733)\/(-6) + (-332)\/1992.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z - 44 = 238 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**4 + 2 + v**3 - 3*v**4 - v + 3*v**4 + 7*v**4 as r*v + i + p*v**3 + o*v**2 + u*v**4 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22986 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1114, 2223, 3356, 4519, 5718, 6959, 8248, 9591?\nAnswer: 10994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p**3 - 5*p**2 - p + 3. Let m be (4\/(-10))\/((-6)\/30). Let q(c) = -c**3 - 3 + 2 - 73*c**m + 74*c**2. Calculate 3*q(a) + w(a).\nAnswer: a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 415086227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrlt when four letters picked without replacement from {l: 2, m: 1, f: 1, t: 1, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by -2017?\nAnswer: 368\/2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*i = 124, -5*i - 6 = -2*a + 28. Let l = -10 + a. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, r: 1, w: 9, g: 5}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 9, -4, -13, -12, 5, 44?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -165001439158 and -0.04.\nAnswer: -165001439158.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(5\/14)\/(d**(-1\/3)\/((d*d**5)\/d))*(d**(-1\/6)*((d*d\/(d\/(d*(d*d*d**1\/d*d*d)\/d)))\/d)\/d)\/(((d*d**(-3\/5)*d)\/d)\/(d**(4\/7)\/d)) assuming d is positive.\nAnswer: d**(808\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, 9.6, -12?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a = -120. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 + 205*v + 210 = 0. What is v?\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - (-31 - (-29 - -9)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11386 is divided by 3461.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 46, 33, 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14841 and 5712.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + w - 33 = -22, -6 = 2*k - 2*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2914283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(2*-1)*189\/(-1701)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 23, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 16223435?\nAnswer: 16223433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200 divided by 1200?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/20)\/(526\/3945)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2232 - 2243) + -1 + 47 + (-1 - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08341817 from 0.1.\nAnswer: 0.18341817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 + -54. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 2*r + 1. Let d(u) = -4*u**3 - 15*u**2 - 7*u + 5. Let j(n) = -n**2 + 4*n - 1. Let b be j(2). Let m(g) = b*y(g) - d(g). Give m(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/14 and (6 - 2007\/378)\/((-2)\/18).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1\/2 + -2433*(-55)\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -757 - -756.999946038. Round d to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18662 * -313.\nAnswer: 5841206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -48, -54, -48, -24, 24?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764.594 months in decades?\nAnswer: 14.70495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 12. Determine c(9).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 2*k = -8. Is (-4 + 6 - (k - -3)) + 114 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201201200 (base 4) to base 8.\nAnswer: -414140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101.528 * -0.1\nAnswer: -10.1528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -20. What is the nearest to 2\/7 in -4, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Let v = -6 + d. Is 1\/5 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n - 35 = -25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x + 631 - 537 - 542 - 10*x + 448.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -1274 (b) 17 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) - -2*-1*sqrt(616))\/(sqrt(495)\/sqrt(5)))\/((5*(sqrt(192) - 3*sqrt(192)))\/sqrt(6)).\nAnswer: sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 + 102.9867. What is l rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twqjzqjqqjwqtqj. What is prob of sequence tzj?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 117797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2953 (base 15) to base 6.\nAnswer: 104553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1099595712.96 take away -5?\nAnswer: 1099595717.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22916763 and 7452?\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 2 - (-6)\/3. Let u(k) = 23 + 6*k**g - 6*k - 22 - 3*k**2. Let b = -1 + -5. Let i(f) = -4*f**2 + 7*f - 1. Calculate b*u(s) - 5*i(s).\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 10. Let r(g) = -777*g**2 + 2. Give k(r(v)).\nAnswer: 1811187*v**4 - 9324*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - k + 6*k**2 - k**3 - 7 + 2*k. Let g be x(6). Put 1, g, 0 in increasing order.\nAnswer: 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -27*r + 3398. What is the hundreds digit of t(49)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + 38759?\nAnswer: 38772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -881? (a) -5 (b) 2\/11 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, t: 2, a: 1, h: 1, g: 1}. What is prob of sequence hwg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5))**(-39)*p**25*p**14 assuming p is positive.\nAnswer: p**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 14100563 and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1380 and 1380?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.49 not equal to 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.3358ml to litres.\nAnswer: 0.0413358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*q - 68*q - 38*q = 205 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:49 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*w + 9, 5*w - 1 = 3*s - 6*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 816000 rounded to the nearest ten thousand?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 21*y**2 + 24*y + 17. Calculate the remainder when (-1 - 212\/2)*-1 is divided by g(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -3*w**5 + 12*w**4 - w**3\/3 + 1239*w**2\/2 + 6632. What is the third derivative of q(l) wrt l?\nAnswer: -360*l + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2*1\/(-80)). Let i(w) = 5*w**2 - 1557*w + 3110. Let t be i(2). What is the highest common divisor of t and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.7 - -3.5. Let y = -8.3 - o. Let h = y - -4.1000168. What is h rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*v + 20, -4*v = -a - 12 + 4. Suppose 52 = 2*d + 4*u, d = a*u - 3*u + 47. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37481144749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83010002\/3 or 27670000?\nAnswer: 27670000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15698 - 3073 = -25*a. Let w = -342 - a. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867 - 1173 = -2*p. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/3, 100, -14?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3284*y = 30010 + 154614 - 30276 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1257204278 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 30 = -26*c - 3*y, -3*y = -2*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*q - 4993, -8*d - 2*q + 4978 = -6*d. List the prime factors of d.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**3 + 34*k**2 + k + 62. What is o(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 q when three letters picked without replacement from {t: 2, q: 1, x: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*(-264)\/(-400400)*((-10)\/(-6))\/((-1)\/(-3)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 3*n - 3. Suppose 6*c - 6 = 6. Let a be f(c). Let m = a - 7. What is the least common multiple of 6 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(3)*1))\/(sqrt(3) - (sqrt(54)\/sqrt(2) - sqrt(27))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (18 - ((-2 - -15) + -5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -31467545?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) - 1\/(-2). Let r be (-999)\/(-148) - (6 - -1 - 0). What is the second smallest value in 0.2, r, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1934321?\nAnswer: 163, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*z + 17*z + 9*z)*(z + 1 - 1) + 1 - 1 - z**2)*(1 + 1 - 1 + (2 - 3 + 2)*(-6 + 1 + 3)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:10 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 3*j + 0*j)*(2 - 1 + 4) + (5*j - 4*j - 4*j)*(-1 - 5 + 0) + 42*j + 1 + 41*j - 77*j to n + t*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-11)\/3)\/(((-7)\/1)\/1071)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -771945630*p**3 + 407636138*p?\nAnswer: -4631673780*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-u + 9*u + u).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1623, 1633, 1655, 1695, 1759?\n\"Answer: n**3 + 3*n + 1619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122722?\nAnswer: 2, 43, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*sqrt(36)\/(sqrt(24)\/sqrt(2)))**2 + 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74 + 2*j + 136 - 79 to x + w*j and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 749 and 285155.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -724.9184 + 726. Let b = v + -1.17217. Let l = -0.09 - b. Round l to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3040 and 68704.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(2 - 1132\/564). Let s be 3\/(-6)*c - (-2)\/(-1). Suppose s = 4*k - 19. Calculate the remainder when 79 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-10))\/((-12)\/30). Suppose -y*m + 51 = -5*q, m + m - 50 = -2*q. Let g = 26 - m. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2470.00001337 + -2470. What is z rounded to seven decimal places?\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10944 - -22937. Suppose -28*p + 8867 + j = 0. List the prime factors of p.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z + 305*z**3 - 1 + 44*z**4 - 46*z**4 - 276*z**3 as p*z + r*z**3 + o*z**4 + t + n*z**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1179 and 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**1)**(-43)\/((m\/m**(-2\/7))**(-1\/25)\/(m\/m**(-6)*m\/(m*m**0\/m))) assuming m is positive.\nAnswer: m**(4419\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6924507.\nAnswer: 3, 2308169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42388\/3655 + -2\/731. Let v = o + 12. Factor -v*w - 2\/5*w**4 + 2\/5*w**2 + 0 + 2\/5*w**3.\nAnswer: -2*w*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i*r**3 + 252*i*r**2 + 9*i*r - 83*r**4 - r**3 wrt r.\nAnswer: 30*i - 1992*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 - t**4 - 5*t**4)*(3*t - 2*t - 3*t) - t**5 + 0 + 0 + (5*t - 5*t + 2*t)*(117*t**4 + 84*t**3 - 84*t**3).\nAnswer: 239*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 395 - 234. What is the greatest common divisor of m and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.176 + -0.056. Which is the second biggest value? (a) -3 (b) s (c) 4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(96) + (sqrt(96) - (sqrt(96)*1 - sqrt(96))))\/(-2*sqrt(392) + sqrt(8))*5.\nAnswer: 100*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 3*w**2 + 15*w - 20. Let r be g(5). What is the greatest common factor of 40 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 91*m**5\/30 + m**4\/24 - 5*m**3\/3 - 2*m**2. Suppose 5*q - 2*p - 22 + 15 = 0, 3*q + 4*p = 25. Is w(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-156)\/130*(-5)\/42*-3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1908164880.\nAnswer: 2, 3, 5, 2650229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 - 30 = -100*f - 808 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 14 = 20. Let d = 1 - -4. Suppose 3*z = -n, -d*o + 6*z + 3056 = 3*z. Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13034300 (base 7) to base 10.\nAnswer: -1185212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 6*u**2 - 6*u - 4. Let q be m(7). Solve -l - q + 7 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/25, -1, -2, 3, -0.02, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/(-219)*(-3)\/11*-253.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4e - -2?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181145 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 - 64. Let j = p - 132. Which is the nearest to -2\/7? (a) -6 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 16. Let a = 12 + d. Calculate the remainder when 30 is divided by (22\/a)\/((-2)\/(-4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-115)*(-11 - 7923\/(-703)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 94*t - 7037. Determine d(97).\nAnswer: 2081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 50*t - 93. Let f be z(25). Suppose 0 = -3*p + 5*b - 93 + f, 0 = 3*b - 3. 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: Let l = -62 - -66. Suppose 0 = -3*i + l*i - 73. Calculate the remainder when i is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*j**5 + 420*j**4 - 31*j**3 + 67410906*j wrt j.\nAnswer: 4060*j**3 + 5040*j**2 - 186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217.9 - -207. Let v = x - 1.1. What is the closest to 2\/9 in -2\/15, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161375 = -21*m + 23*m - f, 0 = -4*f - 4. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkrkxrrkkxrrkxk. Give prob of sequence xrrx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22288156139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6219*-15.4.\nAnswer: 95772.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a1816 (base 14) to base 3.\nAnswer: 2202101102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 428, 825, 1246, 1703, 2208, 2773, 3410?\n\"Answer: 2*q**3 + 383*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.7 + -1.7. What is the nearest to -2\/5 in x, 2\/37, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2594272 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -7\/6*j**3 + 1\/2*j**2 + 1\/20*j**5 + 0 + 4*j + 1\/3*j**4. Is d(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59000)\/32)\/25 - 1*3\/(-4)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173 - -252. Let x = w - 75. Solve 5*z = x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 1\/60*b**5 - 37 - 5\/6*b**3 - 25\/2*b**2 + 0*b + 1\/6*b**4. Let n(s) be the second derivative of u(s). Factor n(h).\nAnswer: (h - 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10843683*s**2 - 13345695*s?\nAnswer: 21687366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3203*r - 777*r + 56514 - 167954 = 0 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -0.44. Let w = -29 - -57\/2. What is the closest to -1 in -0.3, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3 + 798*u**2 - 273*u - 534.\nAnswer: 3*(u - 1)*(u + 89)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(((y\/(y\/y**(-6)))\/y)\/y)))\/y*(y**3*y)\/y)\/(y*y*y**(-10))**(-12\/5) assuming y is positive.\nAnswer: y**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 4}. What is prob of picking 3 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 159 - 156. Find the second derivative of -3*p**2 + 10*p**t + 420 + 2*p - 434 - 3*p wrt p.\nAnswer: 60*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79604, 159567, 239528, 319481, 399420, 479339, 559232?\nAnswer: 639093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -35*f + 30. Let c be d(-6). Let w = 275 - c. Calculate the least common multiple of 10 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 3*g + 2. Let f(v) = v**2 - 4*v + 3. Suppose -2*z + 3*w - 30 = 2*w, -20 = 5*w. Let o = 12 + z. Give o*t(l) + 4*f(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -267766188.\nAnswer: -1\/89255396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**3\/2 + a**2 + 12*a. Let i(s) = -s + 20. Let d be i(23). What is j(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -0.21.\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-17))**(-46)\/(x**(-3\/11)*(x*x\/x**(-14\/5))\/x) assuming x is positive.\nAnswer: x**(-45734\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -29. Find the first derivative of -6*o - 4 - r*o**2 + 6*o - 3 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -113203400?\nAnswer: -113203312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18716 times 50\nAnswer: 935800","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 48*l**2 - 46*l - 69. What are the prime factors of g(-46)?\nAnswer: 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 46106*a**2 - a. Let p be l(2). Suppose -5*i - 3268129 - 1359761 = 0. Let f = i - p. Round f to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 51*m - 3. Let i(d) = -154*d + 10. Determine -5*i(s) - 16*v(s).\nAnswer: -46*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*t = 339 - 49 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3451*l**3 + 118*l**2 + 16490*l - 110.\nAnswer: -20706*l + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80975.\nAnswer: 5, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (392\/294)\/(70\/(-3))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116750 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 3 + 3. Let x(p) = p + 10. Let t(a) = -a - 5. Let o(q) = 10*t(q) + 5*x(q). What is j(o(m))?\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 9 = -0*n. Let p = -58 - -67. List the prime factors of n\/(p\/(-42)) + 3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 24 - 12. What is the first derivative of -7*a**4 + 3*a**4 - 14*a**4 + t - 8 wrt a?\nAnswer: -72*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -4*x - 177. Let p = 36 + x. Suppose p = -4*k - 6*z + 4*z + 16, -5*k = -2*z - 11. Solve 7*b = k*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13722391 at most as big as -13722393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 2 (c) -554 (d) 44 (e) 159\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1274 divide 32922708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33740818 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + (-5 - (16 + 14 - 20))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 15*c**2 - 16*c - 28. Let n be y(-14). Which is greater: n or -5\/22?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, d: 4, s: 6, f: 1}. Give prob of sequence dsd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 168, 4, -0.42, 0.5, 1.2?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + f - 1. Suppose -2*o = 4*h - 8, 0 = 4*h - o + 17 - 7. Determine q(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1632 + -1637. Sort f, 1, 11, 2, 0 in ascending order.\nAnswer: f, 0, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 6 - 3 - -3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73716 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 12. Let s = -1.26 + 1.6. Let f = -1.34 + s. Is f at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3 + 166056*s**2 - 1716249600*s - 148828160000 = 0. Calculate s.\nAnswer: -86, 20800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -55, -78, -101?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose k - z - z = 36, 250 = 5*k + o*z. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z + 1\/2*z**4 + 0 + z**3 - 2*z**2.\nAnswer: z*(z - 2)*(z + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 6\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**4 - 10075*q**3 + 23362067*q**2 + 10327637275*q + 71145261516 = 0.\nAnswer: -372, -7, 5227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/5 + (-162922)\/(-145)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(50\/4))\/(473\/605). Let p = 246\/817 + b. Is p greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -4.\nAnswer: -7, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2))\/(k*k*k**(-3\/4)\/k))\/(k**1)**(2\/13)*k**(-6\/7)*k*k**(-2\/7)*(k*k*k**(3\/4))\/k**1 assuming k is positive.\nAnswer: k**(37\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**5\/40 + 2*b**3 - 2. Let z(n) be the third derivative of y(n). Let j(s) = 2*s. Determine z(j(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:55 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 6 - 118 = -3*f, 5*f = j - 51. Let c = -26 + j. Suppose -3 = t + t + 3*n, -3*t + n = 10. Put t, -10, c in ascending order.\nAnswer: -10, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e9 - 150?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 16) to base 10.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409938144?\nAnswer: 2, 3, 7, 11, 55457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**4\/4 + 4*p**3 + p**2 + 18*p + 5. Let v be b(-12). What is the tens digit of -6*-8*(-4)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-4)\/(-12)). Let q be 5 - 4 - (1 - 0). Does q = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - sqrt(99)*-3*4)**2.\nAnswer: 16731","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -878713.1 + -6832140.9. Let g = m + 7710853.96400029. Let h = g + 0.036. Round h to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - r = -4*r + 8, 3*i = -4*r + 22. Put 1, i, 3, 30 in decreasing order.\nAnswer: 30, 3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**4 - 916*z**3 + 13564*z**2 - 10796*z - 25272 = 0.\nAnswer: -243, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1357273*r**3 + 3*r**2 - 7089255*r.\nAnswer: -8143638*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**15\/c))*c*c**(-5\/3))\/(c*c**(2\/11)\/c*c)**(-41) assuming c is positive.\nAnswer: c**(2039\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/14)\/((-85)\/714). Let t = -5 + 10. Let l = c + t. What is the greatest common divisor of l and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/3936 and -51\/223.\nAnswer: 877728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**3 + f**3 + 4*f**3.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-48)\/(r**11\/r) assuming r is positive.\nAnswer: r**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221840 and 2115?\nAnswer: 1996560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 72841862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36414*y**3 + 25873*y**3 + 13045*y**3 + 13575*y**3.\nAnswer: 88907*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 4*b**2 + 14*b**2 + 2 - 15*b**2.\nAnswer: -5*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 8*o + 12. Suppose 5 = -5*d - 40. Let w be u(d). Suppose 0 = w*f + f - 20. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2. Let j(b) = -108455*b**2. Determine t(j(p)).\nAnswer: -11762487025*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20551465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2501481*g**3 - 1579776*g**2 wrt g?\nAnswer: -15008886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 + -361. Solve 0*a + 5 = c*w - 2*a, -3*a - 17 = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u**2 - 2*u + 16. Is z(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*b = -2*p - 21, 4*p + 8 = b. Let g = -3 - -5. Sort g, p, -4 in increasing order.\nAnswer: -4, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.2 - -11. Let z(m) = m**2 - 111*m + 2940. Let a be z(44). Put a, 0.4, t, -0.1 in decreasing order.\nAnswer: 0.4, -0.1, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-915*h**2 - 843*h**2 + 648*h**2)*(-4 + 6 - 3)*(-2 - 1 + 2 + (6 - 2 - 1)*(0 + 5 - 3)).\nAnswer: 5550*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -151)\/(1 - (3 - 3)). Let i = t - 139. What is the smallest common multiple of i and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232 - -248. What is the least common multiple of 72 and a?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(-2\/3)*k)\/k)**6*((k\/((k\/k**0)\/k))\/k)**(3\/8))**(-5\/17))**(-17) assuming k is positive.\nAnswer: k**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71645568 by -1376.\nAnswer: -52068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x = 129*x + 83 + 25 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3575 - 20*g + 3575 - g - 4*g + g + (2 + 0 - 1)*(-4*g - 2*g + 5*g).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/4 - -4. Let v = -5 - -3. What is the third smallest value in p, 3\/2, v?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 5:57 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = -2*j, z + 16 = j + 12. Let v(u) = u**3 - 5*u**2 + 3*u - 2. Determine v(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4920)\/(-420) - (-3)\/(21\/2). Solve 0*g - x = 6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17812 + 32583. What are the prime factors of m?\nAnswer: 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/20 - 25*r**4\/2 + 1250*r**3 + 253*r**2. Solve c(q) = 0.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 + 252. Let x = -21 + 71. Let f = w - x. Which is smaller: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -835066 and 14.\nAnswer: -11690924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 15*f - 20. Let k be h(-16). Let d be 3\/(-9)*(k + 6). Which is the nearest to d? (a) -3 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1636*v**2 - 5*v - 11. Let y = 12 + -9. Suppose -28 = y*p + 5. Let x be i(p). What is x rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1715)*-1)\/(2*3*sqrt(125)).\nAnswer: -7*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 23. What is the remainder when 24*(1 + 1)\/2 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 357*u**2 + 1480*u + 13000. Calculate g(-361).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 5*i = 10*n - 1276, -3*i + 1558 = 5*n. List the prime factors of n.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297360 and 864?\nAnswer: 1784160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-6 + 5) - 12\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801937?\nAnswer: 29, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -6*a + 2*a. Calculate the greatest common factor of a and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*c + 72 = 4*h, 0 = 4*h - 2*c - 144. What is the greatest common factor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*p**2 - 3)*(-p**3 - 3*p**2 + 3*p**2) + p**5 + 0*p**5 + 3*p**5 - p**2 - 2*p**5 + p**2 - p**5 + 3*p**4 - 3*p**4.\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 65681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -67*k + 2. Let p be t(-2). Let q = p + 40. What is the greatest common factor of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238326 and 751410?\nAnswer: 117971370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.10893 decades to millennia.\nAnswer: 0.9110893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -24. Solve 2*w + o + 7 = -w, -5*w + p*o - 40 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*756\/(-504).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -b + 3*b. Suppose -2*h + 2*d = -6*h + b, 0 = 3*d + 15. Suppose -5*y + 0*y = -q - 74, h = y - q. Solve -4*u + 1 + y = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -38*c + 1. Let j(h) = h**3 - 8*h**2 + 6*h + 4. Let i be j(7). Is n(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 101*d - 4306. Let i(n) = 91*n - 4310. Let w(v) = 3*h(v) - 2*i(v). Differentiate w(f) wrt f.\nAnswer: 121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*z + 96*z + 95*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/28 and 17\/310?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 538*g**7\/21 - 71*g**3\/3 - 1581*g. Find the second derivative of p(f) wrt f.\nAnswer: 21520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/403748 and -87\/20.\nAnswer: 2018740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 18340*f - 36704*f + 18351*f - 114. Determine o(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/177 and 16\/355003.\nAnswer: 1065009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -36*w - 178. Let m be f(-5). Solve -m*x - 1 = p, -3*x + p + 4 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {a: 1, v: 5, n: 5, e: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 30160 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 33*p = 228. Suppose 0 = 116*l - p*l - 70. Suppose -3*i = 3*m - 1149, -4*m = i + 220 - 597. What is the greatest common factor of l and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.02257831 to four dps.\nAnswer: -7.0226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3 - 3)*((-2 + 1 - 1)*(-2*f**3 - f**3 + f**3) + 5*f**3 - 4*f**3 + 0*f**3 + 4*f**3 + 0*f**3 - 2*f**3 + 3 + 2*f**3 - 3)*(24177 + 2059*f - 24177).\nAnswer: -18531*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 120747232 - -5?\nAnswer: 120747237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 26*v + 156. Let h be s(-24). Calculate the greatest common factor of h and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**5*r + 68866*k**3*r - 271*k**2*r + 156*r wrt k?\nAnswer: -60*k**2*r + 413196*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31676 is divided by 165.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13777\/41 - 336. Let h = 47\/246 - f. Which is the closest to 1\/3? (a) -1 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10915*c**2*k*n - 1737*c**2*n*w + 1985*c*k*w - 2*c*n*w - 924*k wrt c.\nAnswer: 21830*k*n - 3474*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1459*m**5 - 3454*m + 3454*m + (m**2 + 1 - 1)*(-2*m**3 + 0*m**3 + m**3) - 3*m**5 + 3*m**5 - m**5 + 2*m**3 - 2*m**3 - 2*m**5.\nAnswer: 1455*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -141 - y**2 + 3*y**4 + 279 - 5*y**4 + 3*y**3 - 139 as m + g*y**3 + q*y + v*y**2 + r*y**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36879, -36886, -36893?\n\"Answer: -7*k - 36872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 13*b - 4. Let w be i(6). Let r(x) = 1095 - 1095 - w*x**2. Let d(y) = y + 0*y + 0*y. What is r(d(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in -2\/7, -2843, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2254095180 = -38*f. Let h = f - -135713755. What is h rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 11) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 6. Let r be t(9). Let c(d) = 1 + 4 + r*d**2 - 2*d**2 + 8*d - 1. Determine c(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07602257 rounded to four decimal places?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259 and 25271?\nAnswer: 176897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 + -99. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1)*(-54*o**2 - 1 + 49*o**2 - 24) in the form y + s*o + g*o**2 and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -678, -1032, -1410, -1818, -2262?\nAnswer: -2748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 170874 less than 0.106212886?\nAnswer: -170873.893787114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-72 - 90100\/(-1250))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l - 4. Suppose -189 = 3*c + 111. Let s = -71 - c. What is the remainder when s is divided by h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.7. Let p = 0.1 - 2.1. Which is the nearest to p? (a) -2 (b) r (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 19. Suppose q - 28 = 3*w, 3*w - x = -q - w. Calculate the remainder when 378\/8 + 2\/(-8) is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 677 + -873. Which is the third biggest value? (a) -1\/2 (b) 4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.29 - 0.01. Let x = b - -0.8. Let m = 3.4 - 3.9. What is the closest to 2 in -1, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-1 - -13) - (-4 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/10 + (-1 - 3)\/1. Let u = 16 + -6. Let d = u - 11. Put d, l, -3 in ascending order.\nAnswer: l, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46 and 1654.\nAnswer: 38042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.079 - 0.079. What is the closest to 21\/4 in -2\/7, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 + 0*d - d + 3*d + 8*d**2 - 2*d**3 as g*d**2 + o*d**3 + c*d + t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(76) - ((-3 + sqrt(76) + -1 - sqrt(76)) + sqrt(76)))*-1 + (sqrt(76)*-2*-3 - (-2 + sqrt(76) + -2 + sqrt(76))))*-6)**2.\nAnswer: 700416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 108 = -4*a, -80*a - 28*a + 1284 = -4*w - 11*a - 1545 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 12*y**2 + 3*y**2 + 0*y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005532 rounded to four dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 1744635.\nAnswer: -1744639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119934 by -54.\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 873 = -c, 16*c - 4221 = 21*c + w. Is -844 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 39*h - 131. What is n(-41)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -1\/7, -5, 978?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - (25 - 2)) + (-19 - (-14 + (13 - 7))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -5, -2, -34, -1, -3 in decreasing order.\nAnswer: 30, -1, -2, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/80 and 59\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 17, 3, -11, -25?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -4)\/(2\/23926). Let o = 5263 + h. Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.97, -2, 3\/160.\nAnswer: -18, -2, 3\/160, 0.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 4*q**3 + 19*q**2 + 4*q. What is the derivative of s(t) wrt t?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 36.03. Let r = h + -0.13. Which is the smallest value? (a) 2\/11 (b) 1\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {k: 1, l: 7, f: 1, w: 4, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -6\/7, -6, -2\/3, -4, -22, 0.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -16 - (-16 + 0 + 4) - -34?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 342.12163 to the nearest integer.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*c + 7 = 0, 4*h + 5*c = c - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bd1fd (base 16) to base 11.\nAnswer: -1035901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -622, -991, -1400?\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dt when two letters picked without replacement from tddbbbddttbdd.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 242 + 0*k**3 - 233.\nAnswer: 2*k**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5996 - -16905. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123966 and 93862?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260199930 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-3))\/(4\/(-60)). Let w be ((-4)\/v)\/((-4)\/(-10)). Let u = w - -3. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9940 - 5935. What are the prime factors of j?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x = 36*x. Suppose 648 = -x*j + 9*j. Does 24 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 101 + 24. Let z be 5*(-5)\/(x\/(-4)). List the prime factors of (1 + z)*(-22)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798*r - 975 - 23715 = 1671*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.2 + 1. Let x = y + 0. Let p = -0.20000045 - x. What is p rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (268\/33567*3)\/(-2)?\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 11:47 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 399 (b) 1 (c) 0.153 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 58) + 34 + 4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5092, 5093, 5094, 5095, 5096, 5097?\n\"Answer: z + 5091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/72 and 35\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 31 + 0 = -3*v, v = -4*g - 18. Let q(k) = -4 + 7*k**3 + 5*k**3 + 5 - 2*k**v. Give q(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 28 + (-70 - -83).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*10\/(-15) - (-72)\/27. Solve -5*y + 7*l = 12*l - 35, -p*y + 5*l - 21 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (5 + 11 - 4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-25)\/(-1) - 3. Let l = g + 31. Suppose f = 2*f - l. Calculate the remainder when 12 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2. Let q(s) = 20*s. Calculate q(n(m)).\nAnswer: -80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2147.256 nanograms to milligrams.\nAnswer: 0.002147256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - g + 4. Let a = 1624 - 1618. Calculate the least common multiple of r(-4) and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 19 - v)*(3*v + 2*v + 2*v) + v - 2*v**2 - v to the form s + q*v + k*v**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Let j(s) = -52*s - 3. What is i(j(m))?\nAnswer: -2704*m**2 - 312*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, i: 1}. What is prob of sequence mk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(112\/32*28\/(-637)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2\/2 + 3876195*c - 62018480 = 0 for c.\nAnswer: 16, 1550462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8) + (-30)\/(-24). Suppose 3*n - 21 = -3*x, 5*n + s*x - 42 = 4*x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 35. Suppose y - 1 = p. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z**4\/4 + 1335*z**3\/4 - 35001*z**2 - 3638567*z + 1042440 = 0 for z.\nAnswer: -238, -73, 2\/7, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 14. Let j be z(12). Let s be (2 - 1) + (-4)\/j. Let x(f) = -f + 1. What is the least common multiple of x(s) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 9 = 4*i, l - 7*i - 23 = -3*i. Let p = l - 5. Sort -0.3, p, 0.\nAnswer: -0.3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*a + 80, 5*v - 3*v + 64 = -4*a. Let l be 4\/a - (-99)\/81. Sort -2\/11, l, 4 in increasing order.\nAnswer: -2\/11, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -34204, -68068, -101956, -135874, -169828, -203824, -237868, -271966?\n\"Answer: -f**3 - 6*f**2 - 33839*f - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251280535.\nAnswer: 5, 11, 4568737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.284 + -0.2839284. Round t to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -7466006.\nAnswer: -5\/3733003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 - 3076*x**3 + 44*x**2 - 7*x?\nAnswer: -24*x - 18456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-2\/13)))**(12\/13)*(f**(-3))**(-31\/5) assuming f is positive.\nAnswer: f**(15597\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/11 + 929122*z\/11 + 15794496\/11.\nAnswer: 2*(z + 17)*(z + 464544)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 3*s**2 + s - 8. What is z(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 119 in decreasing order.\nAnswer: 119, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -55177*18.3\nAnswer: -1009739.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38637, 38705, 38773, 38841, 38909?\nAnswer: 38977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + r + 241, -3*r = 4*k + r - 188. Let h be -15 - -18 - (-1 + 18). Let l = h + k. Calculate the highest common factor of l and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24533*i**2*q**2 + i**2*q - 16*i*q + 91*i - 2*q wrt q?\nAnswer: -49066*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-1053) + (-148)\/(-156).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 9 + 3. Let s be (-32)\/308 + (-4)\/(-14). Sort s, -1, n in decreasing order.\nAnswer: n, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 31. Let b(n) = -895. Give b(z) + 5*u(z).\nAnswer: 5*z - 1050","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6853539 + 6853404.00278. Let v = q + 135. Round v to 4 dps.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1\/(a\/a**(-6\/7)) assuming a is positive.\nAnswer: a**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -127340*g**2 - 77. Let t(s) = 2*s. Give d(t(r)).\nAnswer: -509360*r**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiiieieiii. Give prob of sequence ee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**2. Let l(t) = -5*t**2. Give h(l(r)).\nAnswer: 375*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -6*l**3 - 9*l**2 - 4. Is g(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 482673468 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-19)*d*d**(-4\/5))\/(d**(-6\/17)*d*d*d*d\/d**42) assuming d is positive.\nAnswer: d**(1662\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -822b - -11?\nAnswer: -821a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/9*h**2 - 4\/9*h + 2*h**3 + 0 = 0. What is h?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-15) + 3\/(-15). Let u = 3 + o. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2541\/14*6\/(-9). Let f = 130 + n. Solve -f*j + 6 = -3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/17))\/j*j*j**(-2))\/(j**(2\/7))**15 assuming j is positive.\nAnswer: j**(-524\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 36*a. Suppose -15 = 5*q, y - 34 = -0*q - 3*q. Let x = -48 + y. Let m(c) = -198*c. Let b(f) = x*m(f) - 27*w(f). What is b(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4029 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: Let i = -9564 + 11878. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 18*s + 16. What are the prime factors of d(6)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxhhdxxwxxhw. Give prob of picking 1 d and 1 x.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 = 13. Suppose 3*j = n*j. Is -14\/11 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9252348 and 828.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -19, -4, 29, 86, 173, 296, 461?\n\"Answer: j**3 - 4*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 20. Suppose -2*x = n*l - 5*x - 121, 5*x + 26 = l. Let i(v) = -6*v - 1. What is the remainder when l is divided by i(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 + 5 - 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2057)*2 - ((sqrt(34)\/(sqrt(4)\/sqrt(2)) - sqrt(17)) + -2).\nAnswer: -2 + 22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4*y - 22, 3*t = 2134*y - 2139*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (-3 + 4 + 0)*(-3 + 3 - 1))*(6*x + 2*x - 2*x).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 + 32*l - 35*l + 3*l - 4*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 35*r**2 - 1143*r + 5092. Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:04 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u + 7*u)*(-u - 2*u**2 + u).\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4, 3*d = 3*q + 4*d - 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*l - 3*l - 50, 0 = -2*s - 3*l - 5. Let j = s - 4. Suppose j = -2*q + 3*h, -4*q + h + 13 = -0. Calculate the remainder when 14 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 487 - 486 + 5914*y**2 + 6674*y - 6674*y to t + w*y + s*y**2 and give s.\nAnswer: 5914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(18)\/sqrt(3)*-4*-6)\/(sqrt(36)\/((sqrt(144)*-4)\/sqrt(12))).\nAnswer: -192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - -3 - (-765 - -820).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1007b + -306?\nAnswer: b975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112528, -224158, -335788, -447418, -559048, -670678?\nAnswer: -782308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 2)\/((-5)\/((-20)\/(-6))). Which is the closest to -0.1? (a) -1 (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = x - 23, 5*x - 5*k - 85 = 0. Solve -4*r - 4*g = -3*r + x, -2*r + 2*g = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386136 and 527.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 10*g**2 - 23*g + 10. Let k be s(-12). Let q(j) = 56*j - 4. Let o be q(k). Which is smaller: o or -115?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p - 6. Let y be b(5). Suppose -2*q + 3*q = 4. Suppose q*n = 7 + 5. What is the highest common divisor of n and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -883.87395 - -53.92805. Let g = 830 + b. What is g rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*r - 115 + 379, r - 266 = -3*k. Let d = k - 58. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + 5*r**2 - 2*r**2)*(-2*r**2 - r**2 - 1 - 1)*(4*r - 2*r - r).\nAnswer: -6*r**5 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**3 + 8*q**2 + 4*q. Let d(h) = 6*h**3 + 9*h**2 + 5*h - 1. Let n(p) = 4*d(p) - 5*k(p). Give n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a7 - 1c9?\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -180.512?\nAnswer: 36.1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from kekskskssksccscs.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 18 = 15*a. Suppose -4*o + 164 = l - 5*l, 3*o - 5*l = 125. Suppose -a*p + 4 - o = 0. Is p != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 200?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -211*d*z - z + 37 wrt d?\nAnswer: -211*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1338 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/12 + 5*d**4\/24 - 19*d**2. Factor q(s).\nAnswer: -5*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + 8) - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/2561 or 0?\nAnswer: -20\/2561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017919309 rounded to 7 decimal places?\nAnswer: 0.0001792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2795302226 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21\/4 + -23\/4. Let h = -7\/6 - p. Sort h, -6, 0.4 in decreasing order.\nAnswer: 0.4, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1296 divided by 27.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 57.21259ml?\nAnswer: 0.05721259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99615914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54204847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 0 - 1\/120*d**5 + 0*d**3 - 1\/24*d**4 + 1\/240*d**6 + 14*d**2 + 0*d. Factor k(w).\nAnswer: w*(w - 2)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -21, 419, -4 in descending order.\nAnswer: 419, -4, -21, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 76 - 10 = k, -10*k = -13*k - 2*r + 29 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -13\/5, 4, 13, -0.127, 63\/5?\nAnswer: -0.127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 60*c**2 + 348*c + 480.\nAnswer: 3*(c + 2)*(c + 8)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3518595 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1020 + 1055. What is the greatest common factor of 5915 and w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9551*l**2 + 13834.\nAnswer: 19102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. What is the closest to z in 0, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9389.3 + -8944. Round z to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 10\/15 + 52\/12.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 6) + 2 + 1. Let f(u) = 9*u**3 - 2*u + 1. Let p be f(s). Suppose 26800 = -p*j + 4*j. Round j to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -199, -415, -629, -841, -1051, -1259?\n\"Answer: m**2 - 219*m + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4, -3*m - f - 8671 = -5*m. Let i = -30407\/7 + m. Let z = 268\/35 + i. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 94?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 133*v**3 - 158*v**2 + 24*v - 9. Calculate h(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, w: 7}. Give prob of sequence wwww.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -1, -1\/3, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*1560\/(-10)*(-28)\/1176.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 318 - 271. Calculate the highest common factor of 94 and g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 44, -160, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 5:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.94 + -13. Let c = -0.26 - d. Let q = -683 - -687. Put c, 0.1, q in decreasing order.\nAnswer: q, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12843 rounded to the nearest one hundred?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -14*i**2 + 6*i**2 + 10*i**2. Let a(u) be the second derivative of 0 + 1\/2*u**4 + 0*u**3 - u + 0*u**2. What is l(a(c))?\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2668*r**2 + 295*r**2 + 6320 - 6320 to the form d*r + s*r**2 + u and give s.\nAnswer: -2373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c = 2. Put -1, 5, c in descending order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (59 - (10 + -2))\/(-2)*-202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 3020?\nAnswer: -3019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Suppose 4*m = 2*z - z + v, 0 = 3*z - m - 46. Suppose -c - 5 = -z. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -491 or -828018\/1687?\nAnswer: -828018\/1687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by 13.\nAnswer: 110\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 3*x - 44*o - 68 = -75*o, 3*x = 3*o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((12296\/265)\/(-58))\/(3\/(42\/(-4)))\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70821.\nAnswer: 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 428*m - 214*m - m**2 - 2 - 215*m + 6. Give x(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 + (0 - -5 - (13 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11435, -11458, -11505, -11582, -11695, -11850?\n\"Answer: -f**3 - 6*f**2 + 2*f - 11430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30, -35, -38, -39?\n\"Answer: c**2 - 8*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in 3\/2, 9, 2\/5, -0.12?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:11 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 49 = -8*x + 4*j, -4*x + 3*j = -144. What is the remainder when 329 is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -236, 2, -3, 5, 1 in decreasing order.\nAnswer: 12, 5, 2, 1, -3, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 10 = -31*a + 35*a, -a = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -8*m**5\/11 - 3150*m**4\/11 - 369108*m**3\/11 - 10918246*m**2\/11 + 14136456*m\/11 - 2845944\/11 = 0.\nAnswer: -174, -47, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.604836 kilometers in meters?\nAnswer: 1604.836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 0.2 (c) -4 (d) 4\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 13. Let m be 2*(-1)\/r + 10. What is the first derivative of -m*q**2 - 56 - 50 + 115 wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d - 2. What is l(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546*y - 2*l + 4518 = 550*y, -y = 3*l - 1112. What is the greatest common factor of 1648 and y?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-5))\/((-11)\/55). Solve 3*n + 0*n - g = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 7*h**2 - 21*h**2 + 15*h**2 + 12*h**2 - 2*h**2.\nAnswer: 11*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 32, 70, 124?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15979701 a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 + 4*f + 2. Suppose 20 = 5*z, 2*t + 3*z - 3 = 1. Let i be r(t). Suppose i*w + 20 = o, 2*o - 3*w = -2*o + 95. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2616.9735266 + -2763.97352723. Let f = l - -147. Round f to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -5, -60539, 1521 in descending order.\nAnswer: 1521, 5, -4, -5, -60539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 4*j**2 + 2*j. Let w be h(3). Let v be ((-1)\/(-14))\/(5\/(-650)). Let m = -67\/7 - v. Which is the closest to 1? (a) 0 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2878498, 2878486, 2878474?\nAnswer: 2878462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + w = -11 + 3, 5*w = 5*g + 50. Let z be 78\/18 + (-4)\/g. Suppose 3*u + 2*o - 5 = -2, 2*o - 9 = -z*u. Let q(k) = -6*k + 1. Determine q(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5513 is divided by 68?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.36, -1, 202, -3, 2\/5, 2\/9 in descending order.\nAnswer: 202, 2\/5, 0.36, 2\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 480 + -485. Is x greater than -33\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = f + 4*f - 3*h, 0 = -3*f + 5*h + 16. Suppose -2*y + 204 = f*y. Let t = y + -14. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -79\/12*h**4 + 163\/6*h**3 - 82*h + 0 - h**2. What is the first derivative of g(w) wrt w?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295 or 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 34*i - 608 = -1633 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Let o(l) = -l + 27. Let z be o(12). Solve -i*m = m - 3*u + z, 2*u = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 76 = -5*n + n, 88 = 4*n + 4*o. Solve 0 = -3*k + 8*k - n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4 + 1 - u + 0 - 1. Let v be k(-3). What is the remainder when 17 is divided by 2 - v\/2*14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 35*t - 44. Let c be s(-16). Suppose 3*r + 6*p = 5*p + 29, -12 = -4*r + c*p. Solve 3*l - r = -5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85381, 166240, 247099, 327958, 408817, 489676?\nAnswer: 570535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342583 and 23878961.\nAnswer: 9259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 101\/2*p + 147\/2 - 1\/2*p**3 - 47\/2*p**2 = 0.\nAnswer: -49, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13900 and 3200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687697 is divided by 529.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**9\/42 - 19*l**5\/60 - 7*l**2. Find the third derivative of f(j) wrt j.\nAnswer: 1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.73 + -9.63. Sort -559, o, -0.4.\nAnswer: -559, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 0, 2\/17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35.63 + 33. Let s = -0.63 - m. Let j be (10 + -4)*2\/(-22). Which is the third smallest value? (a) s (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -43*r**2. Let h(a) = 37*a**2 - 71*a**2 + 33*a**2. Calculate h(l(w)).\nAnswer: -1849*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 69 = -5*a, -6*a - 991 = 4*q - 1071 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 - (2 + 2\/(-1)). Let r(b) = 2*b + 18. Let s be r(4). Suppose -h*j = 2*u - s, 0 = 3*u - 0*u - j - 73. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 + 44*g - 30. What is the remainder when n(-18) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-1))**50)**13)**(2\/21))**(-2\/27) assuming z is positive.\nAnswer: z**(2600\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 - 11 = 15*k. Calculate the highest common divisor of 21 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 3. Let k(w) = -3*w + 13. Let u(v) = -v**3 + 9*v**2 - 19*v - 3. Let q be u(5). Calculate q*k(p) + 9*d(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253\/316 + -1\/1580. Let y(q) be the first derivative of -11\/10*q**2 + 12 - 1\/20*q**4 + 3\/5*q**3 - 1\/25*q**5 + s*q. Factor y(w).\nAnswer: -(w - 1)**3*(w + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 3*u**2 + 2. Let g be a(-3). Suppose 55 = 2*h - 11*k + 6*k, 2*h + k - 25 = 0. Solve g*w = -x - 0*x + 3, -w + 5*x = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 148.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2533 is divided by 97.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/12 - (-7)\/(-2). Let h(w) = -w**2 + 4*w + 3. Let t(c) = -c**2 + 3*c + 2. Let d(l) = a*t(l) + 3*h(l). Let p be d(0). Solve p = 2*n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + o - 47, 0 = -0*h + 2*h + 3*o - 36. Suppose 69 = k + 3*k - r, 45 = 3*k - 3*r. Solve -h*z = -k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1263 divided by 421.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 544656 and 184794.\nAnswer: 10348464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {q: 5, j: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 4*q + 140 - 283 + q**3 + 139. Give u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(27) + -2 + sqrt(27) + ((sqrt(3) - sqrt(6)\/sqrt(2)) + -5)**2 + 1*(sqrt(3) + sqrt(3)*1) + 5.\nAnswer: 8*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 6*u - 6. Let x be o(-3). Suppose -x*j + 0*j = -55500000. What is j rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270296842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/180)\/(4\/(-30)) + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (718\/21540)\/((-2)\/(-3))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 47*s**2 + 112*s + 54. Determine h(-13).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (589 - -3)*((-20)\/8 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1324780 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5706755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -18. Solve 0 = w*b + 3*b + 10, 2*s + 2*b + 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 + 105 - 2*w + 4*w.\nAnswer: 2*w + 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -131, -524, -1177, -2090, -3263, -4696?\n\"Answer: -130*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -7. Let h(w) = w - 8. Let x be h(s). Is 22 a factor of (-144)\/x + 0 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*a + 240 = -144*a. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 12:34 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -181 > -179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + -3 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 682255351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Suppose 84 = 2*c + b*w, 2*c - 7*c + 210 = 5*w. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-21)*(5 - -1). Suppose -5*k + 134 = y. What is the highest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6385 - 6355. Suppose 3*s = 4*o + 21, 6*o - 2*o = 5*s - 43. What is the smallest common multiple of s and h?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -203 + 200. Let k be 8 + (-44)\/9 - d\/(-27). Solve 0 = 4*h + 20, -k*t - 6*h - 20 = -5*h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32318?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 5086 - 5087 + t**3 - t**2 + 15266 - 5094. Let d(r) = 43*r**3 + 4*r**2 - 4*r + 4. Give d(m) + 4*k(m).\nAnswer: 47*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6274317 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24542179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - 114. Let v = t - -50. What are the prime factors of (-1)\/v - (-1414)\/12?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14332 + -20?\nAnswer: -14402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.5 + 1.9?\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 6*h**2 + 5*h + 3. Let c be i(-4). Let r(n) = 3*n**3 + n**2 - 1. Let p be r(-1). Let f = p + c. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4807911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 6*a - 2. Let j be z(-5). Suppose -2*w - 4*r = w + 5, -11 = -j*w + 4*r. What is the second smallest value in 0.2, -4, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(117) + 0 + sqrt(117))*-2*-3)**2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 - 710*n**2 - 68640*n = 0. What is n?\nAnswer: -66, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*851.\nAnswer: 110.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19644 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11107, 4, 5 in decreasing order.\nAnswer: 11107, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473 is divided by (-15 - -14)\/(-3*1\/132*4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12*d**3 - 2*d**2 - d. Let y be i(-1). Let v = 9 + y. Let z(k) = -k**2 - 4*k + 2. Let h be z(v). Solve 0 = h*b - b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*o - 357 + 351, 0 = u + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**7\/210 - 29*y**6\/120 + y**5\/60 + 29*y**4\/24 + 21*y**2 + 113. Factor p(q).\nAnswer: -q*(q - 1)*(q + 1)*(q + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, b: 6, k: 6, h: 4}. Give prob of sequence hkkh.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:34 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*c = -18, 2*h - 3*c + 8*c + 24 = 0. Put -4, 4, 1, h in increasing order.\nAnswer: -4, h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 10*w**2 - 8. Let z(l) = l**2 - 1. Let t be 1\/((-2)\/(-7) - (-12)\/(-140)). Suppose 3*s - t*f = -19, 7*s - 2*s + 4*f = -44. Calculate s*z(u) + p(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 2, c: 1, t: 1, w: 1, y: 1}. What is prob of sequence ht?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110012112 - -11?\nAnswer: -110012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*d + 2*f - 6*f, -3*f - 6 = 5*d. Suppose l - 45 + 15 = 0. Let k be l\/18*1*3. Solve y + k = p, 3*p + 3*y + d*y - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 17*d + 2*y + 84, 4*y = -d + 8. Suppose -n - 60 = -5*n. Let s = d - n. Is 1\/5 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 3, -6, 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69277 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13121666 + 3?\nAnswer: 13122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 6. Suppose i = 5*u - 14, 2*i - k = -3*u + 3*i. What is the second derivative of -2*d**u + 2*d + 0 + 0 + 0*d wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -16 - -6 - 8*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306430 to the power of 1\/2, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 14*s - 821. Give u(33).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-six fifths of a tonne?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, k: 4, e: 1, y: 1, l: 2, j: 7}. Give prob of sequence aa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1182, -1054, -700, -6, 1142, 2858, 5256, 8450?\n\"Answer: 19*z**3 - z**2 - 2*z - 1198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**2 - 5*s**2 + 14*s**2 - 4*s**2. Let k(c) = c**2 + 26. Determine v(k(y)).\nAnswer: -y**4 - 52*y**2 - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3 - 0. Let j be (-63)\/(-35) - v\/5. Solve j + 2 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttyddtuyrtrydtytty. Give prob of picking 1 d, 1 r, and 1 y.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -781 + 776. Let h(p) = 5*p + 10. Give h(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -270*t**3 - 4*t**2 - 59*t. Let p(v) = 2*v**3 + v**2 + v. Let k(g) = b(g) + 4*p(g). Find the second derivative of k(r) wrt r.\nAnswer: -1572*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 13300563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 2 k when four letters picked without replacement from {x: 2, v: 1, p: 1, k: 5}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1661 and -99.04?\nAnswer: 164505.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 6. Let i = a + 5. Suppose -16 = -4*h, 5*c + 4 = h + 15. Is c < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**3 + f**2 - f + 3. Let u be g(3). Let a be (-40)\/70 + 582\/14. Let n = a - 28. What is the greatest common divisor of n and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 - 10*b + 4.\nAnswer: 2*(b - 1)*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - 3*h - 2*h)*(-5*h + 0*h - 4 + 5) in the form c*h + g + y*h**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + -2. What is the common denominator of -93\/20 and ((-2)\/c)\/(48\/(-693))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from llmmlwrlfrlrlmlml?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1095\/286 - 57\/26. Solve 12\/11*u**2 + r*u + 2\/11*u**3 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 283\/4 + -11611\/164. Sort -0.1, v, -3\/4, 4\/7 in increasing order.\nAnswer: -3\/4, -0.1, v, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*((-1)\/7 + (-12561)\/4977).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453172394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/10, -2, -8, -3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 2 + (-5 - 2 - (5 + 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -0.1 (c) -19 (d) 0.5 (e) -1.469 (f) -2 (g) -59\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 302870497 + 2?\nAnswer: 302870499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(140\/(-8)))\/((330\/225)\/(-22)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13332 is divided by 3318?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a - 445 = -517 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*w + 28086 = 43212 + 60422. Calculate the greatest common divisor of 407 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(1\/2)\/((y**0*y)\/y**3) assuming y is positive.\nAnswer: y**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*i + 182, 278 = 3*v - i - i. What is the remainder when v is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 63. Let f(u) = 9*u**3 + u**2 - 6*u + 3. Is f(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6*70\/1400*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 2:35 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 8*i**2 + 3. Let o be u(8). What is the first derivative of -6 + 0*c**2 + 2 + o*c**2 wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x*x**6*x*x\/(x\/(x*x*x\/(x**(-14\/5)\/x)*x*x*x)*x)*x**(3\/5) assuming x is positive.\nAnswer: x**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) + sqrt(68)*2 - sqrt(68)) + sqrt(68) + 5*-2*sqrt(68))\/(2*(sqrt(4) - sqrt(4)*-2)*5) + 2.\nAnswer: -sqrt(17)\/30 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(350))\/sqrt(2) + (sqrt(280) + (sqrt(280)*2 - sqrt(280)))\/sqrt(10).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -363 - -188. Let o = -66 - k. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110297353 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 4:51 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2496 - 72*y + 2496 + 444*y in the form h*y + b and give h.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/420 - s**6\/180 - 23*s**5\/60 - 23*s**4\/6 - 5*s + 5. Let d(n) be the third derivative of z(n). Differentiate d(x) wrt x.\nAnswer: 12*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 > -26\/213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 228741*p**2 - 3 + 228726*p**2)*(-p**2 + 3*p**2 - 4*p**2).\nAnswer: 30*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 29*m + 6. Let f be n(-29). Solve j = -f + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3393, -6785, -10177, -13569, -16961, -20353?\nAnswer: -23745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -5*f - 32, -4722*f + 4725*f = 6*m + 60 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4692 and 29\/84939.\nAnswer: 5775852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5))**16*(m\/m**0)**25 assuming m is positive.\nAnswer: m**(157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 436, 1, -5, -10487.\nAnswer: -10487, -5, -2, 1, 436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - f + 7 = 0, 0 = -2*d + 29*f - 25*f - 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 1927 = -5*k - 1918, -k - 19 = -5*m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166.00000128 - 166. Round l to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrn when three letters picked without replacement from rrnrxnxnqnnn?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/5 - 12*n**3\/5 + 16*n**2\/5 = 0 for n.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-42)*-7)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggv. What is prob of picking 3 g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -334*t - 330*t + 667*t. Let j be 5*4\/(5 + -1). Let y(h) = -21*h - 49. Let b(l) = 2*l + 5. Let k(g) = j*y(g) + 49*b(g). Calculate 13*f(v) + 6*k(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -27 + 1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 4*b - 2319 - 2320 - 2324 + 6969 - b.\nAnswer: 5*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 1, 3*b = 2*m + 2*m + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i - 185*i - 59*i = -325*i - 3116 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4374*r**4 - 45036*r**3 - 67128*r**2 + 32080*r\/3 - 1216\/3 = 0.\nAnswer: -76\/9, -2, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2905, -2909, -2913?\nAnswer: -2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 18*i - 21. Suppose -2*x = -2*j - 28, 20 = 4*x - 3*x + 2*j. Let s be f(x). Suppose 6*n + 120000 = s*n. Round n to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2738, -5498, -8240, -10952, -13622, -16238?\nAnswer: -18788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9755.\nAnswer: 5, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1139*f**3 + 1328.\nAnswer: -3417*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (33 + -13 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57433\/8 - -7159. Is -20 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*t + 318*t = 89738. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188283 - 1302\nAnswer: 186981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 115.073 + -115. Let q = i - 0.473. Let p = 2.05 - 0.05. What is the biggest value in q, 1, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/34 - -77\/102. What is the closest to -7\/5 in -31, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -179, 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/686 and 65\/4116?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15380.025 hours in days?\nAnswer: 640.834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37 + 14.1.\nAnswer: -22.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*w - 94 = 139*w + 145*w + 8201 for w.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 281*j**4\/4 - 1069*j**3\/6 + 3073*j. What is the second derivative of a(y) wrt y?\nAnswer: 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -1\/7 (c) -17 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.43604g to kilograms.\nAnswer: 0.02043604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.56 + -8.44. Which is smaller: q or 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from {y: 4, p: 3, d: 1, z: 1, w: 4, v: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-15 - -10) + 18 - -81) - 11.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -63*f**3 + 151*f**2 - 92*f + 25. Let v(j) = -42*j**3 + 101*j**2 - 61*j + 17. Suppose 0 = 3*y - 2 - 19. Let u(m) = y*v(m) - 5*h(m). Factor u(n).\nAnswer: 3*(n - 1)**2*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -458246 + 458246. Let j = -6 - -11. What is the closest to u in 2, 0, 67, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 7*w. Let l be y(6). Let h(f) = -f**2 - 6*f + 3. Let u be h(l). Solve 0 = 5*j + 2*c + u*c + 10, -8 = 4*j + c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4524 = -4*d + y, 6*y = 3*d + 12*y - 3420. Calculate the lowest common multiple of d and 40.\nAnswer: 11320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 3257696.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -84*t**3 + 2*t + 1. List the prime factors of n(-1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + j - 9. Let t = 4\/309 + 15719\/3090. What is the common denominator of ((-236)\/(-48))\/((-4)\/j) and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -464.1 + 464. What is the third biggest value in 0.5, 1, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 1 + 5 + (sqrt(200) - (sqrt(200) + 2*sqrt(200) + 1)) - (-5 + sqrt(200) + 0 + sqrt(200) + -1).\nAnswer: -30*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 9*a + a as r*a + h and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**4\/7 + 256*c**3\/7 + 5696*c**2\/7 + 32768*c\/7 + 56832\/7 = 0.\nAnswer: -12, -4, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-16 - -32 - 72).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2270838 is divided by 1135392?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 9}. Give prob of sequence gp.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 146181842 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: Express 2*j**3 + 1 - j**2 + 0*j**3 + 0*j**2 + 2*j**4 + 0*j**3 as c*j**3 + b*j**2 + k*j**4 + r*j + n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712362050?\nAnswer: 2, 5, 17, 127, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**3 - 1593 + 1593 + (6*n**2 - 4*n**2 - 4*n**2)*(-n - n + 0*n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**3 - 4319 - 11*i**3 + 4319.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-4)\/(-1))\/(-4))\/1. Let f(q) = -q**2 + 1. Let z be f(m). Suppose z = p - 10 + 4. What is the remainder when 17 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 16 - 19 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 377 + -375. Solve 3*s = 2*o + 6, s + l = -3*o + 2*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u - 1. Let c(n) = -n - 1. Let q be c(-3). Let m be h(q). Let t = 21 - m. Calculate the remainder when 16 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3732, -13808, -30656, -54270, -84644, -121772, -165648, -216266?\nAnswer: -273620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (7\/21 + (-82)\/12)\/(13\/(-52))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -865 - -1275. Let w = -65415.69913 + 65825.6991059. Let l = o - w. Round l to six decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -669*w + 287618. Give c(430).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 27 (c) -16.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k. Let j(v) = -v**2 + 14*v + 18. Let p be j(15). Let y(f) = 8*f. Determine p*q(i) - 5*y(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/24 - 3*s**5\/4 + 115*s**4\/24 - 25*s**3\/2 - 7*s**2 - 7*s. Factor m(v).\nAnswer: 5*(v - 5)*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8951402, -8951399, -8951396?\nAnswer: -8951393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 591393 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -241024 (base 9) to base 14\nAnswer: -3ac3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 5231 = 5335. Solve -41*u + 37*u - t = -h, -h + u + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 11*p**2 - 759*p + 4154. Give d(63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 10 = b, -b + 372 = 358 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/7488 and -113\/468.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 149*n**2 + 4145 - 4145)*(-2 + 5 - 2).\nAnswer: 149*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + y. Calculate f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1100?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 - -146. Determine r, given that 10*r - 1 + 15*r + 17 + i*r**2 - 5*r = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5)**46 assuming a is positive.\nAnswer: a**230","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 244*k**6\/15 + k**4\/4 - 417*k**3\/2 - 1441*k. What is the second derivative of w(n) wrt n?\nAnswer: 5856*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 85*1344\/(-1923040)*(-2)\/6.\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 7 = p - 18, 4*p - 2*c = 28 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c - 1. Let p be x(-2). Suppose 3 = w + y - 3, 2*w + p*y - 27 = 0. Suppose b = 2*b + w. Let n(d) = d**3 - 2*d**2 - 2*d - 1. Calculate n(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*i - 234*i + 144 = 0. What is the greatest common factor of i and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**4 + 2535*d**3 + 1898*d**2 - 633*d = 0.\nAnswer: -633, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 574402.43 days?\nAnswer: 82057.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67798?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-10)*-6)\/((-81)\/6). Let g = -0.03 - 4.97. Which is the closest to 3? (a) l (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175860138 and 306.\nAnswer: 527580414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 957*p**2 + p. Let h be t(-1). Suppose -552 - h = -13*x. What is the highest common factor of x and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2\/17, 4, -2\/5, -2\/55 in ascending order.\nAnswer: -16, -2\/5, -2\/55, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 87641117*w - 65730840.\nAnswer: (w - 21910280)*(4*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**5\/20 - h**4\/4 + h**3\/2 - h**2\/2 - 3*h - 1. Let y(w) be the first derivative of i(w). Suppose y(v) = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 3 - 2 + 3. Let l be (6\/(-17) + 0)*38743\/4558. Give x(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21*j - 15. Let t(x) = 5*x - 4. Give -4*q(m) + 15*t(m).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in hours?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*z + 80 = 4*x + 185*z, -2*x - 4*z + 86 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1837498351 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c**3 + c**2 + c - 1. Let a be z(1). Let w = 9 + a. What is the second derivative of -3*d**4 - 3*d**2 + 3*d + d**2 + 2*d**w wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8150786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5992410352 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**3\/15 + 258*q**2\/5 - 28288*q\/15 - 9688\/5 = 0.\nAnswer: -1, 42, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1117\/7 + -160. Let f = -1.476 + 6.476. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*r + 64, 88 = 4*t - 0*t - 4*r. Determine g so that g - 4*g + 2*g**2 - 3*g**5 - 14*g**2 + 2*g**3 - 12*g**4 - t*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134219.\nAnswer: 134219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 12:27 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -65*z**2 - 6*z - 119. Let q(m) = 5*m**2 + 3*m. Calculate -2*q(a) - v(a).\nAnswer: 55*a**2 + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 71618 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 44*o + 109. Let q(v) = -22*v**2 + 140*v - 326. Determine 16*d(r) + 5*q(r).\nAnswer: 2*r**2 - 4*r + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 8*h**2 + h + 24. Let n be y(6). Let a = n - -52. Calculate the lowest common multiple of 18 and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*w - 14164, -2*w - 1414 - 2125 = -z. What are the prime factors of z?\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 7 - (1 + 3 + 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1677, -627?\nAnswer: 1677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4860 and 32308470.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j. Does 18 divide 19 + -1 - j\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -24378249.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9032 divided by 57.\nAnswer: -9032\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:23 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/(-10))\/((-4)\/25500*-6). Let w = h - -1871. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29387 - 63845 - 315838 = -4626*o - 20486 for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*k - 29 + 29 + (-3*k + k + k)*(4 - 1 - 2).\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243636 (base 8) to base 15.\nAnswer: -19cb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903531481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -144*a + 59*a + 689605. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130277 and -0.5.\nAnswer: -65138.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -34d185 (base 15) to base 4\nAnswer: -21220122302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*i = i + 14, -3*z = -2*i + 12. Let d be 4\/z - (-88)\/4. Suppose -5*h - 4*t = -27, 3*h = t + 3 + d. What is the remainder when 32 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/14*6\/(-5). Suppose 5*f - 155 = -4*y, 5*f - 62 = o*f + y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1020 - -691. Let h = 478 + k. Let i = h + -149.000000339. What is i rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {d: 2, z: 5, q: 3, l: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:32 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-74 - -55 - (-20 - 0))) + 1 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 39*m**2 - 26*m + 763. What are the prime factors of c(19)?\nAnswer: 2, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.1018857ms to hours.\nAnswer: 0.00000169496825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 0.15. Let l = -45.6 + 45.4. Let u be (-3)\/12 - (-2)\/(-8). What is the closest to y in u, -2\/11, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 7 = -3*p, 35808*j - 5*p = 35812*j - 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -187925.04 rounded to the nearest one thousand?\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*y + 6, 4*h = -5 + 21. Suppose -y*c - 16 = -2*v - 0*v, 3*v - 5*c - 34 = 0. What is z in 1\/2*z**2 - 1\/2*z**v + 1\/2*z + 0 - 1\/2*z**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4947, -4945, -4931, -4899, -4843?\nAnswer: -4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 - 5*c - 7. Give i(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(34)*-4)\/((sqrt(16)\/(sqrt(48)\/sqrt(6)) + sqrt(2) - sqrt(2)) + sqrt(2)) + 2.\nAnswer: 2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2436*j + 4850 = -2411*j. Calculate the remainder when 210 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b + 1. Let p be g(-2). Suppose 81 = -c + 81. Sort c, p, -3 in decreasing order.\nAnswer: p, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from wnnwnnwnnnwnnnnnnnw.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-2 - 3 + 2)*((-3 + 0 + 1)*(-5*s + s + 2*s) + 2*s - 2*s - s - 2*s + 4*s + 0*s - 4*s + 5*s + 2*s) in the form f*s + g and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 12111?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6221.\nAnswer: 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 7*a - 12*a. Let m be (-8)\/a - (-9)\/42. Find z such that -m*z**5 - 1\/2*z**4 + 0*z + 0 + 0*z**2 + 0*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 12:15 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*w + 216, w + 354 = 13*v - 8*v. Calculate the smallest common multiple of 15 and v.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, i: 1, r: 5, h: 2, k: 1}. What is prob of sequence hsk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 6*w**2 - 12*w - 73. Suppose 34 = -39*l + 38*l + 4*f, 3*l + 3*f = 3. Calculate t(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -45. Is 12 a factor of (-299)\/(-7) + (-8)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 565?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Suppose -14*h + 32 = 2*h. Let z be 1 - b*(0 - h). Solve p = z*p + 2*c + 14, -p = 4*c + 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -579652 divided by 263\nAnswer: -2204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 4. Let o(s) = -s**2. Let l(w) = -5*w**2 - 4*w + 3. Let p(d) = l(d) - 4*o(d). Let b be p(-4). What is r(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2240550*m**2. Let z(y) = -y**2. Calculate f(z(p)).\nAnswer: -2240550*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*-5*2.\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, w: 2, m: 1, s: 1, l: 3}. What is prob of sequence mw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.8. Let f = -42 + 42.42. Let b = f - 0.12. What is the closest to -2\/7 in u, 5, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f + 25. Let l = 9 + f. Solve -l*g - g = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 227\/4. Let q be ((-15)\/(-1185))\/(1\/2). Let w = -241\/158 + q. Which is the smallest value? (a) k (b) w (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 a when four letters picked without replacement from {o: 4, m: 7, p: 2, a: 3, z: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 45, -16, 13, -4 in ascending order.\nAnswer: -16, -4, 5, 13, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.973 - 5.773. Are p and -708 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422111044 - 403?\nAnswer: -422112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 13*j**2 + 30*j - 17. Determine i(15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2467, -2460, -2453, -2446?\nAnswer: -2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2983 - -5?\nAnswer: -2978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 120628?\nAnswer: -3\/60314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*t = -19, -695*s + 692*s + 17 = t. Solve 0 = -v + s*b - 16, 7*v = 12*v - 2*b + 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*g**4 + 2*g**2 + 48*g?\nAnswer: 1368*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 125 = -2*t, 5*w + 2*t + 625 = 0. Let f be (6\/9)\/(4\/(-6)). Let q be ((-19)\/(-19))\/(f\/w). Calculate the greatest common divisor of q and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/1212300 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01499 - -0.015. What is b rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 235 + 651 = 0. Solve 11*q - 84 = a*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62.7, -3, 1\/3, -170\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 22*u. Solve u = -17*l + 12*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 9, -7, -41, -99?\n\"Answer: -u**3 + 3*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 2*p - 1. Let l(x) = x**2 + 5*x - 5. Suppose 2*b + 6 + 6 = 0. Calculate the remainder when g(3) is divided by l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 328 - 134. Suppose -6*q = -2*r - 3*q + 96, -5*r - 4*q = -b. Let h be 4\/(-10) + r\/30. Solve 8 = -3*y + p, 2*p + 4 + h = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 781 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1490a76 (base 11) to base 5\nAnswer: -1123030302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 9 + -5 + 6 + -96 + (73 - 87).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-7)\/h)\/h*h)\/h)\/h**4)**(-2\/39)*(h**(4\/9)*h**(-5))**2 assuming h is positive.\nAnswer: h**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 18*d**2 + d + 41. Calculate a(-18).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t. Let w(l) = -5*l - 2159. Calculate w(u(h)).\nAnswer: 15*h - 2159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 143. Let i(o) = -g*o**2 - 32*o + 33*o + 6*o**2 - 3. Calculate i(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18642, -28863, -39084, -49305?\n\"Answer: -10221*t - 8421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -2 - (-6 + 6). Suppose 0 = -4*t - 16, -o*r - t = -98 + 12. What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 25, 3*o + 12*s - 10*s = -16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1612 and 9052?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 - 3*t + 5. Let f be u(0). Solve -3*p - 9 = -f*p + b, -2*p = -5*b - 29 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 10, -3*t = 4*r - 222 + 79. Suppose -5*a - r = -82. Is -1 + a*(-1 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450397 divided by 450397.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(3\/10)\/a)\/(a**(-5)*a))**(-19) assuming a is positive.\nAnswer: a**(-1197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72472 is divided by 17865?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 9*b**2 - 8*b - 5. Let l be c(8). Let d be 4\/5 - (0 + (-44)\/l). Let h(s) = s**2 + 6*s - 10. Determine h(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 103d + 21c6?\nAnswer: 3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228771692?\nAnswer: 2, 3, 67, 509441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 - 2*n**2 + 1. Let x be f(-1). Suppose -6*r + 20 - x = 0. Suppose r*k = 8*k - 295. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13.79218um?\nAnswer: 0.00001379218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23, -14, -3, 10?\n\"Answer: m**2 + 6*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.74 + -0.74. Let y = h - 34.00000054. Round y to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 47, 114, 239, 440, 735, 1142, 1679?\nAnswer: 2364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6437849*t**3 - 1061*t + 2638.\nAnswer: 38627094*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -l - 2*l. Let r(g) = g**2 + 4*g + 5. Let s be r(l). Suppose 5*j - 5*f - 12 + s = 0, -f + 18 = 4*j. Solve 0 = 5*w - 2*a - 3, 4*a - j = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = m - 6, -5*m - 2*y + 6*y = -21. Let o = -3.025 + 3.525. Let c(t) = t**3 - 7*t**2 + 3. Let r be c(7). What is the nearest to r in o, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -123. Suppose 4*i - r = -5*r - w, 4*i = -3*r - 82. Let d = i - -31. Solve 0 = 4*s + d, 3*o - s + 0*s = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/3213*1207*7.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - (38 - 28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 671 + -676. Sort -1\/38, 42, a in increasing order.\nAnswer: a, -1\/38, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001111130795 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15916120 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let m = 137 - 135. What is the second smallest value in s, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 - -1) - -1 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -14*b**2 + 8*b. Let n(l) be the third derivative of -l**5\/12 + l**4\/8 + 2*l**2 - l. Give 8*n(c) - 3*o(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8320 or -8330?\nAnswer: -8330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6533 = 258. Let b = d - -1266. Let y be (-99)\/((-2)\/(-2) + -2). Calculate the greatest common factor of y and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 663 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35188 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (36\/48)\/((-168)\/32)*2*(-462)\/15\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 297*n**2 - 317*n - 6214. Give a(-296).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 12179*d + 1144787. What is i(-94)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (11592\/210 - 30)?\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4131 and 1989.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11813.12 litres in millilitres?\nAnswer: 11813120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/21 + (-77)\/(-49). Let c be (s - 4)\/(-4)*18. Let n = c - -7. What is the lowest common multiple of 10 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 297\/(-495)*-10*(-1)\/(-42)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 14*g**2 + 63*g - 17. Is x(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u - 3. Let y(j) = j + 1. Let p(c) = -7*c + 444. Let a be p(64). What is a*y(z) - 2*r(z)?\nAnswer: 10*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*o - 6*o = 2, -6 = -5*u + 2*o. Suppose u*t - t = 6. What is the lowest common multiple of 2 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 149*i*k**2 + 7*i*k + 4*i + 207*k**2 - k - 3379 wrt k?\nAnswer: 298*i + 414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*x + 24, 2*x + 5 = -3*x. Let v = -2 - c. Calculate the remainder when 34 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**4\/12 - 13*l**3\/3 + 481*l**2. What is b(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 13*u - 10. Let r be p(14). Factor -8*h + 6*h**4 - 13*h**4 + 7*h**2 - r - 2*h**3 + 14*h**2.\nAnswer: -(h - 1)**2*(h + 2)*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 115\/35 - -1 - (5 - 1). Let w(z) be the second derivative of k*z**2 - 3*z + 1\/140*z**5 + 0 - 2\/21*z**3 - 1\/84*z**4. Factor w(l).\nAnswer: (l - 2)*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 30)*(-1 + 2 - 2)*(-3*i**2 - i**2 + 2*i**2) to the form x + m*i + o*i**2 and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25527, -51071, -76615, -102159, -127703, -153247?\n\"Answer: -25544*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 + 1) - -6 - (475 - 500)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 - 1. Let z = -18 + 21. Let l be (7\/(-21))\/(1\/z). Let m(a) = -3*a**3 - 2*a**2 + 2. Determine l*m(i) - 2*n(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*(1 + sqrt(243))*1 + (-4 + sqrt(243)*-1*-6)**2.\nAnswer: -441*sqrt(3) + 8766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 15 = -5*x. Suppose -3*t - 24 = -3*u, -3*t = -5*u - 2*t + 28. Suppose -4*h + x*h + 3*j = -4, u*h = 2*j + 33. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/305 and 21\/5?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 93740, 94417, 96256, 99839, 105748, 114565, 126872, 143251?\n\"Answer: 97*a**3 - a**2 + a + 93643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39098285*k**2 - 91111585?\nAnswer: -78196570*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 2. Let g be n(3). Solve -g = 3*s + 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83 - 116. Let p(v) = -v**3 + 4*v**2 - 7*v. Let n be p(6). Let k = n - m. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 265. Let o(c) = c - 1961. Give o(s(r)).\nAnswer: r**2 - 1696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.913480308 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 15*l + 135. Let s be g(-10). Let p be 2\/(-70)*s*1. Solve p*j**2 + 2\/7*j + 1\/7*j**3 + 0 = 0 for j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*g - 2*d + 7 = 351*g, -4*g + 99 = 19*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 13\/65*15. Let 8\/7*l**h - 30\/7*l**3 + 18\/7 + 0*l**4 - 10\/7*l**2 + 30\/7*l = 0. What is l?\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 823 + -95. Let t = 1219 - x. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a factor of 1829581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/5*40\/(-210)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 62. Let f be g(-15). Let l(c) be the first derivative of -5\/18*c**4 - 2\/27*c**3 + 8\/9*c**f + 1\/27*c**6 - 8\/9*c + 2\/45*c**5 - 6. Factor l(p).\nAnswer: 2*(p - 1)**3*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295414195 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -881930 times 0.019?\nAnswer: -16756.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**2\/3 - 272*x\/3.\nAnswer: -4*x*(5*x + 68)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255\/24 + (-26)\/39 + 25\/24.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 - 84325*l**4 + 472491780*l**3 - 870800997600*l**2 - 49262255136000*l - 139936792320000 = 0. Calculate l.\nAnswer: -52, -3, 5640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59324542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 87 + 18 = 0. Let z be (-6)\/21 + (-174)\/l. What is the remainder when 34 is divided by (-1 - 1) + 56\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**5\/30 - i**3\/2 + 2*i**2. Let k(p) = -8 - 3 - 10*p**2 - 3. Determine -3*k(n) + 14*w(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.418 (b) -5 (c) 41\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {k: 1, b: 6, w: 3, j: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -139166 divided by -2?\nAnswer: 69583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 255443091.44.\nAnswer: 255443092.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 2.4. Let l = 1.3 + j. Let p = -4\/17 - -54\/85. Which is the closest to l? (a) p (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 625, 975, 1333, 1699, 2073, 2455, 2845?\n\"Answer: 4*x**2 + 338*x + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*v + 7868 - 5052 = 0 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4.3, -3, 1\/2 in decreasing order.\nAnswer: 4.3, 1\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5727854056.555 less than -1.5?\nAnswer: 5727854055.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2046597?\nAnswer: 3, 7, 41, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:32 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486924 is divided by 69542?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 - 149*g**2 + 260*g - 144. Give u(48).\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3671907 + 9*b**2 - 275*b**2 - 3*b**2 + 3*b - 3671912.\nAnswer: -269*b**2 + 3*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 56*x - 3. Solve 0 = -x*y - 8*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**5\/20 + h**4\/12 + 143*h**2\/2 + 8*h. Is j(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498857?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 581*p**2 - 336977*p - 1663. What is h(580)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54381547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4*c. Let v = -7 - -5. Let p(t) = -2. Let l(k) = -1 + 1 - k**2 - 3. Let i(z) = v*l(z) + 3*p(z). Give r(i(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 9*k**2 - 6*k - 11. Let c be t(8). Suppose -c*p + 6 = -7*p. Do -0.2 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1283952.\nAnswer: 385185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*f - 88490, -17 = -5*f + 8. Is 2 + q\/(-9) - (-8)\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 40. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897613748 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 7*z**2 + z - 10. Let c be f(7). Let k = -8 - -6. Put c, k, 3 in ascending order.\nAnswer: c, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/(-1679) - 2176\/(-4416)*(10 - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 129 = -5*k + 27, -2*h = -4*k + 136. What is the remainder when k is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*t - 8*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, b: 3, u: 1}. What is prob of picking 3 b and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/17106 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.01, -2, 16681, -20?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2377977913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58393428 a multiple of 2601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*x - 3*x, x + 5*o = 0. Let m(u) = -2*u. Let f be m(-7). Suppose x*s = s + 4*q - f, 3*q = 5*s - 185. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150173.6 years to centuries.\nAnswer: 1501.736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**5\/20 - i**4\/6 + i**3\/3 - 3*i**2\/2 - 2*i + 27. Calculate u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 4, 60, 123.\nAnswer: -2, 3, 4, 60, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -91*x**6\/120 + 19*x**5\/12 - 15*x**2. What is the third derivative of l(v) wrt v?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51*3\/63*(-29 - -36).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*w**2 - 1\/2*w - 1\/3.\nAnswer: -(w + 1)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*r + 86*r + 44 = 0. Solve 4*t - 2*m - 2 = r, -5*t = 2*m - 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.58117 meters in millimeters?\nAnswer: 31581.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -6, -1\/6, 5, 2\/11 in decreasing order.\nAnswer: 5, 2\/11, -1\/6, -4\/9, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p**(3\/13)\/p)*p)\/p)\/p*p**(-14))**45 assuming p is positive.\nAnswer: p**(-7155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 9*r + 516 = 0. What is the remainder when 127 is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8)*u**(-5)*u**8\/(u**(-1\/3)*u) assuming u is positive.\nAnswer: u**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 divided by 571?\nAnswer: 283\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628 - 628 - 116623*r.\nAnswer: -116623*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3280 - -5613. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Suppose 0 = -45*t + 47*t - 6. Suppose -t = 2*j - 21. Let v(l) = -l - 7*l + 6*l + j*l. Determine v(g(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000030374 to 7 decimal places.\nAnswer: 0.0000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2405 and 41\/2340?\nAnswer: 86580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjjx when four letters picked without replacement from axnxnannjjjnxan.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279722109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(126)\/sqrt(2)*6 + 3.\nAnswer: 8 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 26*g**7\/15 + 307*g**4\/4 + 899*g**2. What is the second derivative of f(r) wrt r?\nAnswer: 4368*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 3*k + 56 = 12*i, -k = 5*i - 51. Suppose b = 5*b - 12. Suppose -b*c + 31 = -i. Calculate the least common multiple of c and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -90618, -181189, -271760?\n\"Answer: -90571*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5731\/1201732 + -1\/3598. Are i and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = -13*m - 5*y, -2*m + 3938004 = 3*y + 3938156 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 6?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8063*p**4 + 503*p**3 + 651609*p wrt p?\nAnswer: -96756*p**2 + 3018*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543900 - (826\/4956)\/((-106)\/108 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaaxsxxxpsxsxsksxsz. Give prob of picking 1 a, 1 s, 1 z, and 1 p.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) 2 (b) -0.3 (c) -5487 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*p - 20 = 0, -4*n + 34 - 6 = -3*p. Suppose -2*d + 36 = -5*a, 3 + 31 = -n*a - d. Let c(k) = -16*k - 5. List the prime factors of c(a).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypxy when four letters picked without replacement from {m: 1, y: 2, x: 2, p: 6}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:46 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - 7*v)*(-4 + 1 - 3).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.56 + -0.56. Which is the closest to v? (a) -0.1 (b) 0 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o + 2. Let w be ((-10)\/(-3))\/((-22)\/33). Let b be (-2 - 2)*(w - -4). Let m be c(b). Calculate the greatest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 1 - 1)*(7 + 2 + 0) + r + 0*r + 8*r - 2*r - r + 4*r.\nAnswer: 64*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 85.57154ug?\nAnswer: 85571.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.3012 kilograms in tonnes?\nAnswer: 0.6703012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = -4*m. Let r = 0 + 0. Solve m*f + 5*f = r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-1909)\/1912)*((-247)\/(-57) - 3). Which is the smallest value? (a) 3 (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.042\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 236 = 161 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1907598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26630320, -53260639, -79890958, -106521277, -133151596?\n\"Answer: -26630319*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b + 198. Let u(a) = 17*a - 28. Calculate the remainder when b is divided by u(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + 18*z - 6*z)*(2*z**4 - 4*z**3 + 4*z**3) + 2*z**5 + 4*z**5 - 2*z**5 - 2*z**3 + z**3 - z**5 + 0*z**3.\nAnswer: 13*z**5 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 1, 3, 10 in increasing order.\nAnswer: -18, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2. Let j(p) = 3399*p. What is m(j(w))?\nAnswer: -23106402*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17561\/6, 33, -2?\nAnswer: 17561\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 8:32 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6027 and 638862.\nAnswer: 638862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-15))\/(4\/(-6)). Let y be d\/5 - 6\/(-35). Let t be (2\/6)\/(1\/3). Which is bigger: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11) + 6*sqrt(55)\/sqrt(5) + sqrt(11))*-4)**2.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*v = -64, -5*q - 10*v = -6*v - 83. Solve -q*k = -2*k + 34 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2. Let k(z) be the second derivative of 8*z**3\/3 + 102*z. What is k(r(o))?\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5275454*l**4 - 8*l**3*v**3 - 369*v**3 - 272*v**2 + 2*v + 302 wrt l.\nAnswer: -21101816*l**3 - 24*l**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5 + (2*sqrt(64)*-1 - sqrt(64))\/sqrt(2) + (sqrt(32) - (-5*sqrt(96)\/sqrt(3))**2 - (sqrt(288)*1)**2).\nAnswer: -1087 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*j + 7*j. Let b be 0\/(j\/(-2)) + 4. Suppose b*i + 67 + 87 = 5*g, -3*g + 106 = i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x + 364. Let g be b(0). Let l(h) = 2*h**3 + 14*h**2 - 6*h - 24. Let r be l(-7). Suppose r*n - 22*n + g = 0. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 11*g**4\/12 - g. Let r(o) be the first derivative of -3*o**2\/2 - 677. Give j(r(l)).\nAnswer: 99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*y = -5*x + 10, 4*y = 2*x - 20 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 90\/21 - ((-16)\/14)\/(-4). Suppose 0*r = f*r - 48. List the prime factors of (-30)\/(-4) - 6\/r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - -51 - 73 - (-60)\/(-9)*3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3))**37)**32 assuming f is positive.\nAnswer: f**(-1184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 1:39 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632018746 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-30)\/(-24)*4\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692*i - 4181 = -148*i - 355*i + 4135 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38\/3 + 181\/15. What is the nearest to 3 in a, 0.5, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 5:11 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-43)\/(-688) - 1008606\/(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 0*a + 6*a**3 - 4*a.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24095 + 11?\nAnswer: -24084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 736 - 20abb?\nAnswer: -20385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 558796375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 1 + 1)*(0*j**4 + 3*j**4 - 5*j**4)*(6 - 2 - 6).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + l + 7 + 0*l - l - 6*l + 4*l + (1 - 5 + 2)*(-2 + 2 + 2*l) - l - l + l.\nAnswer: -7*l + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 3. Let f = -1323 - -1328. Let k(n) = -6*n + 6. What is f*c(l) - 3*k(l)?\nAnswer: 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Suppose q = -3*d - 6, 18 = 4*y - 6*d + d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212412 to the power of 1\/2, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - -0.13. Let k = -18 - -20. Suppose -3*d + 2*g = 0, d + 0*g + 8 = -k*g. What is the second smallest value in w, 2\/9, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (((sqrt(80) - (sqrt(80) + 4)) + sqrt(80))*-1*-2)**2 + 3) + -1.\nAnswer: -1916 + 640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z**(-16\/7)*z*z)\/z)\/z)\/z**(-1\/5))**(2\/29)\/(((z\/((z\/((z\/(z*z**(1\/3)))\/z*z))\/z)*z)\/z)**0\/(z\/z**(-6)*z\/(z\/z**(2\/23))*z)) assuming z is positive.\nAnswer: z**(187042\/23345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017 a factor of 4678086263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*r + 24609 = 643*r + 459 - 10026 for r.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1960)*-1 + sqrt(1960))*6)\/(-2*(sqrt(8) - (-1*sqrt(8) + sqrt(8))) + sqrt(72)*1))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21683446?\nAnswer: 2, 19, 31, 79, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 7.349\nAnswer: -22.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9 = -2*l + 33, -3*l = -4*w + 70. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*g + 12 = 4*g, -5*g = 3*c + 12. Let n(d) = -3182499*d + 4. Let v be n(c). Round v to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 764228, 764215, 764194, 764165, 764128, 764083?\nAnswer: 764030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1088309386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-8 - -13) + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 - 8*m**3\/3 + 4*m**2.\nAnswer: m**2*(m - 6)*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -121. Suppose -m = -4*t + j, 0*t - 3*t - 2*j = -35. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1162*b - 1159*b + 4*a - 25, 14 = 2*b + 2*a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1654, -5931, -13086, -23143, -36126, -52059, -70966, -92871?\nAnswer: -117798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*-35*(-3596)\/6510\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1120)\/(-18) - 2*6\/54. Let f = 1 - p. Let c = f + 72. Solve 0 = -c*h + 12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -128 + 0. Let l = t + 224. Suppose -4*i - l + 464 = -3*f, 0 = 5*f + 20. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1235169 to the nearest 1000.\nAnswer: -1235000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 8 - 3. Let b be 154\/35 - (-2)\/f. Let l = -15 + 23. Solve 4 = b*o + l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382512403 to the nearest integer?\nAnswer: 19558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/15*y**4 + 2\/15*y**3 + 0*y - 2\/15*y**5 - 2\/15*y**2.\nAnswer: -2*y**2*(y - 1)**2*(y + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 53*r**5\/20 + r**2 - 552*r. Let h(n) = -2*n. What is h(p(b))?\nAnswer: -318*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/148 and 71\/28?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z - 2*z + z)*(3*z - 3*z + 4*z + (-2 - 3 - 1)*(-5*z + 2*z - z)) to the form y*z + p*z**2 + r and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let g = -1.8 + 2. Which is bigger: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59893444 to the power of 1\/2, to the nearest integer?\nAnswer: 7739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 69. Let y(p) = 2*p**2 - 7*p + 4. Let q(s) = 1. Let c(j) = 4*q(j) - y(j). Let t(g) = -2*g**2 + 8*g. Give x*t(b) - 5*c(b).\nAnswer: 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 1. Let h(i) = i**3 - 6*i**2 - 7*i + 3. Let n be h(7). Let q be 1*n\/(-1 - 2). Determine o(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*v + 10*v + 51*v + 64*v - 105*v.\nAnswer: 76*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02412+2433\nAnswer: 2432.97588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13 + 225716*v + 0 - 1. Let n be f(-7). What is n rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215820 by -9.\nAnswer: -23980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6071 - 438217.73.\nAnswer: -432146.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3251\/602 - -8\/43. What is the common denominator of 65\/8 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 19. Let p be z(-13). Suppose -4*c - c + v = -p, -3*c + 8 = -5*v. Put -4, 3, c in ascending order.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 6. Let n(i) = i - 1. Let a(u) = -f(u) + 2*n(u). Let k be a(4). Suppose 3*z + k = 5*z. Solve -3*j + j = z*o - 26, -4*j + 2*o + 12 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5697027157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 10, -14, -76, -188, -362, -610, -944?\nAnswer: -1376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132 smaller than 1199605\/383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23266*-0.4.\nAnswer: 9306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -6*y + 49254*j - 49253*j, y + 10 = 2*j for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 33707*d + 33707*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxpvluu. Give prob of picking 1 x and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 1 + 0 + 1. Let k be w(-5). Is 830\/15 - (-1)\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/3 - 20*s**2\/3 + 18*s - 12 = 0 for s.\nAnswer: 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 552277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/7741 + -642407\/185784. Let r = -35 - -17. Find the common denominator of o and 159\/(-30)*9\/r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, 0, -9 in ascending order.\nAnswer: -9, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 13 - (-2 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + 108. Let b be -43 + y + 0 - (2 + -1). Does 19 divide (-16)\/b - 946\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.41 at least as big as 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1406 - -1.14. Round s to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 10*p - 1. Let m(l) = 3*l**2 - 11*l + 2. Let r(g) = 4*d(g) + 3*m(g). Is r(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3647 is divided by 215.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/9))\/i*i**(1\/9))\/(i**(-2\/7))**(-23)*(((i**(-2)*i)\/i)**(-24))**(-13\/3) assuming i is positive.\nAnswer: i**(-4499\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 13*f**2 - 73*f + 12. What is the tens digit of t(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 bigger than 6461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-15) - (-26)\/((-2600)\/(-1860))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-3 - 2\/(-1)). Suppose -20 = -2*h - z*h. Which is the third smallest value? (a) 2\/5 (b) -0.1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m. Suppose m = -5*y + 3649 + 44851. What is y rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1. Let m(d) = -520*d + 32. Calculate -3*m(g) - 96*p(g).\nAnswer: 1560*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357 - 333. Calculate the remainder when c is divided by ((-12)\/10)\/(102\/(-1190)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 191, 382, 573, 764, 955?\n\"Answer: 191*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7))**(-2\/45)\/(g*g*g**(-1)\/g)**(-13))\/((g\/(g**(-1)\/g))**(-20)*(g**0\/g)**(3\/5)) assuming g is positive.\nAnswer: g**(3817\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1121b453 - 1?\nAnswer: -1121b454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 85438688*g**2\/7 + 683509408*g\/7 + 1367018752\/7.\nAnswer: 2*(g + 4)**2*(g + 42719336)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-28 + 23 - (3 + 0) - -11) + 33\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6272 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -27, -95, -243, -501, -899?\n\"Answer: -5*t**3 + 5*t**2 + 2*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-8) - 13) + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Let k(t) = -2*t - 3. Let z be k(g). Is z less than or equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 4, 5.43, -1\/2, -4?\nAnswer: 5.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 4*f - 306851 = 7*j, 2*j - 4*f = 122746. What are the prime factors of j?\nAnswer: 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1007383 + 8*x**2 - 1007383.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-1)\/3*1015\/(31320\/(-216))?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 2356451455?\nAnswer: 2356451452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.5259366 rounded to 0 decimal places?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7872?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 85717584 divided by 2?\nAnswer: 42858792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9176800 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: What is 556 minutes after 11:13 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*x**2 + 0*x**2 - 5)*(3 - 13 - 14)*(11 + 12 + 0).\nAnswer: -1656*x**2 + 1104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i - 13998 = -65*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(243) + -2 + sqrt(243) - sqrt(243)).\nAnswer: -45*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 833*g + 130690. Calculate l(-135).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151.99999569 - -152. What is z rounded to 7 dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.117, 0.4, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, 0.117, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k**2 - 2*k - 3. Let h(c) be the first derivative of -c**3\/3 - c**2\/2 - c - 3. Calculate 2*h(r) - n(r).\nAnswer: -r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xw when two letters picked without replacement from {w: 4, x: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-46)\/(-42) + -1)\/(-2). Let p = -5\/7 - d. Let n(v) = v**2 + 4*v + 2. Let y be n(-2). Is y greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(48) + ((2*sqrt(240))\/sqrt(5) + sqrt(48))**2.\nAnswer: 4*sqrt(3) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*sqrt(77)\/(-3*sqrt(11)*4)*2.\nAnswer: -3 + 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 20*h**2 + 18*h + 4. Let w be v(9). Solve -4*c - w + 0 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111111 (base 2) to base 7\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 1030*b + 3*b**2 - 4*b**2 - 1017*b. Determine d(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from {o: 6, g: 1, n: 2, s: 2, h: 4, y: 2}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 4)*(-5*n**2 + 2*n**2 + n**2)*(-2*n - 3*n - 6*n) to the form k*n**2 + y + w*n**3 + o*n and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = 4*p, 2*p = y - 2 + 10. Suppose -3*o - 11 = p*u, -5*u + 2 = 5*o + 17. Let h be 1\/(1 - 12\/15). Solve -2*w - 8 = w + h*c, 5*w + 7 = -u*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 9*f**2 + 4*f - 8. Let n be d(8). Suppose 0 = 2*m - 4*m - n. Find the common denominator of m and 1\/5 - (-246)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9794, -19623, -29310, -38783, -47970, -56799?\n\"Answer: 12*b**3 - b**2 - 9910*b + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 7*z + 4. Let c(d) = -6*d**2 - 6*d - 5. Calculate -4*c(u) - 3*o(u).\nAnswer: 12*u**2 + 3*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 280 by -35.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1786 + 214 = 0. Let j be u\/(-30)*(-12)\/50. Factor 9\/5 + 24\/5*g + j*g**2.\nAnswer: (4*g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 + 7 = 0. Let y = 415 + -414. Which is the nearest to y? (a) 1\/4 (b) k (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 85413 and 85403 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64102 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1473187 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)\/((d*d\/(d*d**(4\/5)\/d)*d)\/d)*(d**(2\/9))**(1\/21) assuming d is positive.\nAnswer: d**(-2069\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -0.5 (c) -10 (d) -12 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 43365.\nAnswer: 346920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2356?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 0.3 (b) 1 (c) 0.5 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 + 0*t**3 + 10*t**3 + t**3 - t**3 + t**3 + (-3*t**2 + 5*t**2 - t**2)*(0*t - 3*t + 5*t) as o*t**3 + z*t**2 + a*t + k and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2352170 and 0.15?\nAnswer: 352825.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o + k + 38 = 0, 4*o + 5*k - 50 = 0. Let l(p) = p - 4. Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -10) + (-17 - -3) - (2 - 8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000489799 to 6 dps.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 3732, 4, -3, 26, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 5. Suppose v + 2 = i*v. Let g be (-1 - (-6)\/4)*-4. Sort g, -3, v in descending order.\nAnswer: v, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0189 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (130 - -5) + -98 + -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 + 62*j**2 - 3*j + 101. Let f be m(31). Suppose 2*o = -0 - 2. Sort 0, o, f, 1.\nAnswer: o, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41649\/16028 or 3?\nAnswer: 41649\/16028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 10*w - 2*w - 10*w - 1.\nAnswer: -26*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-10) - (-17)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 8*j**2 + 18*j - 22. What is n(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n. Let w(v) be the third derivative of -v**5\/15 - 50*v**3\/3 + 2460*v**2. Give l(w(j)).\nAnswer: -16*j**2 - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3290 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 19 - 14 + 15 - 15.\nAnswer: -2*y - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) -0.5 (b) -18\/13 (c) -10 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83140 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-3)\/18)\/((-14)\/(-728)))\/(18\/(-81)). Solve x + 121 = -32*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*v - p + 16, p = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 11, 0.12, -8.\nAnswer: -11, -8, 0.12, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/45 and -139\/330.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/10, -31\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/45, 0, -11, -1 in descending order.\nAnswer: 2\/45, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(9\/10)\/((j**9*j)\/(j\/(j\/j**(-11))*j*j)) assuming j is positive.\nAnswer: j**(-217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(102))\/(sqrt(726)*-1) + 4 - (4 + 3*(1*(5 + sqrt(17) + -1))**2).\nAnswer: -99 - 252*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3)\/(-5 + (-9412)\/(-1884)). Let u = 341 + z. Calculate the remainder when u is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 5*k + 1. What is n(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0.9, 2, -3, -2\/35, -12 in descending order.\nAnswer: 2, 0.9, -2\/35, -2\/11, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, r: 4, m: 3}. Give prob of sequence mmrm.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-4 + -1) + 88?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j + 43. Let x be m(-7). Suppose 0 = 8*v - x + 1. Suppose -5*f - t + 2*t + 235 = v, 4*f + t = 188. Which is bigger: 48 or f?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(22\/(-66))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15071464.\nAnswer: 2, 199, 9467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/(-208) - (3\/20)\/3. Let w(m) be the first derivative of 1\/10*m**2 + 1\/15*m**3 - 1\/20*m**4 + 5 - b*m. What is h in w(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.2 * 2.72\nAnswer: 60.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*z + 845 = -55*z - p, 3 = -p. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 35*o**2 + 129*o - 16. Calculate v(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2918.9 + 2919. What is the fifth smallest value in -15, -0.1, -0.2, q, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c - 18. Let l(s) = 4*s**2 + 38*s - 42. Give a(i) - l(i).\nAnswer: -3*i**2 - 35*i + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + -179. Let w(b) = 25*b**2 - 14*b + 4. Let m(p) = 26*p**2 - 14*p + 3. Let t(j) = a*m(j) + 3*w(j). Find the second derivative of t(u) wrt u.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3769721587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*h - 12 = 0, 0 = -3*m - 4*h - 2*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5333825015955 and 1.6.\nAnswer: 1.0666174984045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 27 = -f, -f - 1 = -3*t - 12. Let g(q) = 4*q - 4. What is the remainder when g(9) is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/2 + 15540*u**2 - 121795584*u + 16278029312 = 0.\nAnswer: 136, 15472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47141.1168 + 9.1168. Let x = -47126.9982 - r. Let s = 5 - x. What is s rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let m be 2\/3*105\/14. What is the biggest value in m, -0.2, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*d**2*s**2 - 156*d**2*s wrt s.\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -6. Let i be 4020\/48 - 2\/(-8). Let f = i + -60. Calculate the least common multiple of f and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2.46. Let k = -353919 - -353919.459981. Let m = z + k. What is m rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2*h - 125, -4*p + 3*h - 4*h = -97. Solve -5*k = 2*t - p, 0*k + t - 19 = -5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 3. Let d(v) = -v + 1. Let f(j) = -j**2 + 8*j - 1. Suppose 18*o - 150 + 6 = 0. Let b be f(o). Calculate b*s(k) + 6*d(k).\nAnswer: -k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -814557 divided by -17331?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(448) + -4) - (sqrt(448)*4 + 4))**2.\nAnswer: -2304*sqrt(7) + 36544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33709656.\nAnswer: 2, 3, 1404569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/8 - 5*i**4\/4 + 109*i**3\/8 + 71*i**2\/4 - 141*i - 144 = 0. What is i?\nAnswer: -16, -3, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18))\/(((-624)\/(-130))\/(-6)*(-5)\/(-78))\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 11. What is the greatest common divisor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h**3 - 3*h**2 - h. Let z = -12 - -22. Suppose -2*d = 3*d + z. Determine y(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.6676\nAnswer: 0.13352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1695726 divided by -2\nAnswer: 847863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -1046 = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 165*t + 176 = 0. Let g(c) = -c**2 - 1. Let d(i) be the first derivative of -i**4\/2 + 2*i**3\/3 + i**2\/2 - 1. Give t*d(k) + 2*g(k).\nAnswer: -2*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**24\/(l**10\/l))**(4\/9))**12 assuming l is positive.\nAnswer: l**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1 (c) 0.5 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 19 + 5. Suppose -y*m + 4*m + 288 = 0. Suppose 10*j - m = 9*j. Calculate the greatest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (19 - (18 + 20)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**2 - 22*p + 12 = 0. What is p?\nAnswer: 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*(-76)\/(-57).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a + 1. Let x(d) = -d**3 - 7*d**2 - d + 9. Let u(c) = -2*l(c) - x(c). What is the remainder when u(-8) is divided by (-4)\/10 - (-107)\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17383 (base 9) in base 16?\nAnswer: -2ece","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/71)\/y)**(-2\/75) assuming y is positive.\nAnswer: y**(146\/5325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -37*k**2 - 5315*k - 10472. Determine m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.076 - 0.224. Let l = -0.38 - d. What is the nearest to -2\/5 in l, 1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 8536805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286384 is divided by 6225.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 - 84*c + 37. Let s(y) = 2*y. Let m be s(1). Suppose d + 4 = m*b, 3*b - 2 = d + 6. Calculate the remainder when g(-17) is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230 + -227.42. Let y = 6.74 - q. What is y rounded to 1 dp?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 0*l**3 + l**3 + 126*l**3 - 38*l**3 + 209*l**3 + 0*l + 0*l + 2*l**3 + (-2*l - 3*l + 4*l)*(-5*l**2 + 3*l**2 + 4*l**2) - 5*l**3 + 2*l**3 + 0*l**3.\nAnswer: 296*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixteenths of a week?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2. Let k(p) = -575*p**2. Calculate k(m(d)).\nAnswer: -575*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -216161 at most -216162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 1)\/(-12 - -11). Suppose -28 = -5*r - 0*o - t*o, -2*o - 18 = -4*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + -12 + -6 + -1 + 0 + (9 - -1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*j**2 + 2*j + 41*j**2 - 34*j**2 as u*j + b*j**2 + s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 - -23. Let b = -18 - u. Solve 5*i - 1 = -b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(60)\/sqrt(5)) - (sqrt(17) + sqrt(2057)*1) - (1 + sqrt(2057) + -2 + 1*sqrt(2057) + -2))**2.\nAnswer: -198*sqrt(17) + 18522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, and 1 i when three letters picked without replacement from ojbioopoppoo?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 41*v**2 + 402*v + 60. What is the thousands digit of s(-50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/33 and 74\/671559.\nAnswer: 7387149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -9267893889.7.\nAnswer: -9267893889.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-63)*((-25 - (-12 - -7) - 50) + 22).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1071*p**2. Let k(m) = -80*m**2. Calculate v(k(h)).\nAnswer: 6854400*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 409262 - 409261.8399972. Let r = 25.16 - 25. Let z = r - q. What is z rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*o - 6, -o + 3*o + 2 = 0. Solve 2*u + 26 = -4*y, u - 4*y - z = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1322*z**3 + 363*z - 6 wrt z?\nAnswer: 7932*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, 1, 2, -15, 7, -46 in decreasing order.\nAnswer: 81, 7, 2, 1, -15, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 e when four letters picked without replacement from bbebebbe.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.61 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703356847.\nAnswer: 703356847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - t - r - 28, -2*r + 21 = t. Let b(j) = -15 - 4*j + t + 0*j. Let c be b(-3). Solve 3*d + c = -4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145.8 - 120. Let w = -18480408 + 18480382.200258. Let c = i + w. What is c rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.85 + -0.05. Let j = w - 3.8. Let v be (-60)\/40 - -1*23\/10. Which is the closest to -1? (a) v (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218178061?\nAnswer: 547, 398863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**2 - t**2 - 6*t**2 - 2*t - 3*t**3 - 2*t**4 + 0*t**4 to the form y + d*t + b*t**4 + p*t**2 + a*t**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.222 - 0.022. Let h = a - 0.2. Sort h, -16, -0.1, 0.2.\nAnswer: -16, -0.1, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0476238 micrometers in centimeters?\nAnswer: 0.00000476238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2981065 rounded to two decimal places?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165261 and 81933?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 0.34\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrzd when four letters picked without replacement from {c: 2, r: 2, m: 1, d: 1, n: 1, z: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i + 56. Suppose 2*a = i + 72. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/544 + -805\/5984. Let y = 4\/11 - l. Find k such that -3\/2*k**2 - 1\/2*k**3 - y - 3\/2*k = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*i)*(-i**3 + 6*i**3 - 3*i**3) - 3 + 3 + 3*i**4.\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*o = 4*o + 5752, o = 3. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 135*k - 519. Calculate s(131).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41677559995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 153b (base 15) to base 2\nAnswer: 1000111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00019675 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 8*q**7\/105 + 8*q**6\/75 - 2*q**5\/25 - 4*q**4\/15 - 7*q**3\/30 - q**2\/10 - 19*q + 3. Factor p(w).\nAnswer: (w - 1)*(2*w + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 177210784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0 + 4*a + 1\/2*a**3 + 0*a**2. Let m(b) = -57*b. Let k(q) = -8*q. Let p(t) = 15*k(t) - 2*m(t). Calculate c(p(n)).\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75 and 10096?\nAnswer: 757200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -20?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssx when four letters picked without replacement from llllsxsxhxlls.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258691476?\nAnswer: 2, 3, 21557623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*sqrt(6)\/sqrt(8).\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 11 + 8. Let f(c) = -c**4 + c**2 + c - 1. Let n(j) = -5*j**4 + 4*j**2 + 4*j - 4. Let a(p) = s*n(p) - 4*f(p). Suppose a(m) = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 286622*n**2 - 38*n - 26092314.\nAnswer: 573244*n - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437397366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*c + 94*c + 90*c = -32 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3523 - 0.0007. Let s = d - -2.353. Let r = -3.2 - 12.8. What is the second smallest value in -0.5, r, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*x**3 + 78*x**3 - 158*x**2 - 17*x**3 + 5*x**3 - 2*x in the form o*x**3 + y*x + r + d*x**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 58 (c) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 114?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 15*m**2 - 30*m**2 + 21*m**2. Let r(c) = 3*c**2. What is r(h(v))?\nAnswer: 108*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x - 2. Let l = 12 + -9. Let j be 1*(-3 - l\/1). Give d(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124505\/497988 + -2\/124497. Factor q*r**4 + 21\/4*r**2 + 3\/2 - 19\/4*r - 9\/4*r**3.\nAnswer: (r - 6)*(r - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-58)\/(-4))\/(((-15)\/(-6))\/(-5)). Let p = z + 13. Let a be (-2 + 1)\/((20\/p)\/5). Solve 0*j - a = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(1*-3 - (-4582)\/1537)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5492 + -4629. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*z - k + 213, 3*k = -2*z + 146. Suppose -z = -13*m + 583. Calculate the remainder when 146 is divided by m.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzj when three letters picked without replacement from zphxhjhjhz?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -92, -156, -222, -278, -312, -312, -266?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 678? (a) -59.2 (b) -30 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-809.\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(sqrt(143) + sqrt(143) + sqrt(143)*-2)*-6)\/(sqrt(275) + (sqrt(275) - (sqrt(275)*1 - sqrt(275) - sqrt(275)))*3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2025 divided by -280.\nAnswer: 405\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87513 - -0.1?\nAnswer: 87513.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnzn when four letters picked without replacement from {p: 5, z: 6, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 at least as big as 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 5, 25, 63, 125, 217, 345?\n\"Answer: h**3 + h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 94 and 0.04.\nAnswer: 3.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.5 - -34.5. What is the nearest to -1.4 in 4, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*p + 14 = 0, 3*f + 2*p - 9 + 25 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4400)*-2 + (sqrt(132) + sqrt(132) + (2*sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(3))\/(-2*sqrt(32)\/sqrt(2)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) -5 (c) -4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 2059*w**7\/210 + 436*w**5\/15 - 9*w**2 - 58. Find the third derivative of b(q) wrt q.\nAnswer: 49416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, t: 8, b: 1, d: 4, f: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.8 - -11.27. Let u = 0.13 + d. Let i = -546 - -546. Which is the third smallest value? (a) u (b) i (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128365689*y**3 + 7*y**2 + 13339489*y.\nAnswer: 770194134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3)*a)**(-46))**(-6) assuming a is positive.\nAnswer: a**736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (1 + 2\/(-2)). Let s = 3 + i. Suppose -s*m + 4*h = -52, 2*m - 14 = -4*h - 6. Solve -4*l = l + m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 8 = -33*p + 32*p, -3*a - 13 = -2*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3*o + 15 = 0. Suppose -5*c + 5*r = 0, 4*r = 3*c - 4*c. Suppose 3*i - 140 = u, c*i + 5*u - 240 = -o*i. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14303 (base 6) to base 5.\nAnswer: 33041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3762641*p**4 - 2*p**2 + 160642*p wrt p?\nAnswer: -90303384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010110 (base 2) to base 16.\nAnswer: 1d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 637*b + 16 - 3*b**2 - 10*b**2 - 648*b - b**3. Let u be o(-12). Solve 0 = -5*a + 4*a - u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/5)\/(12\/10)*-9. Suppose z*n = -n. Suppose 5*y + 2*o - 62 = 0, -4*y = 5*o - 36 - n. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5090 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q**2 - 4*q**2 - 28*q**2 - 16*q**2. Let w(d) = 2*d**2. Determine z(w(j)).\nAnswer: -164*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 - 2*a + 8. Let k(h) = 9*h**2 - 5*h + 16. Let w(l) = 2*k(l) - 5*z(l). Let s(b) = b. What is w(s(i))?\nAnswer: -2*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13142616 * 1.\nAnswer: 13142616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*o - 4*i = -249*o + 35, -o - 4*i - 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1185 + -442. What are the prime factors of c?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1405684470 and 11370.\nAnswer: 11370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**3\/2 + 4*h**2 + 19*h\/2 + 6 = 0.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-265)\/(-10))\/((-63)\/(-14)) - (5 + 1). Put 7, -0.4, l, -0.2, 0.05 in decreasing order.\nAnswer: 7, 0.05, l, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (8 - (-50 - -13))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/129 - -1348\/387. Let g(d) = d**3 + 16*d**2 + 24*d + 27. Let b be g(-15). Find the common denominator of w and ((-2178)\/b)\/(-3*1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (25 + -37 - -9).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, v: 5, f: 2}. What is prob of picking 1 v and 2 m?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 3. Put -1, 8, v in ascending order.\nAnswer: v, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428262 (base 9) to base 7.\nAnswer: 2112341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.000864134 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8446368 rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1332438470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -321*c + 1256*c + 32725 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, a: 1, x: 1, e: 6, y: 1}. What is prob of picking 2 u, 1 e, and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 210*u + 294 = 74*u, 4*r + 17 = -3*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b*q**3*t**2 + 8*b*q**3*t + 2*b*q*t**2 - q**3 - 2*q*t**2 + 127*t**2 wrt q.\nAnswer: 24*b*q*t**2 + 48*b*q*t - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-640)\/(-1280))\/(((-1)\/7)\/(-1 - 1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7651 and -2\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1083, 481, -831, -3105, -6593, -11547, -18219, -26861?\n\"Answer: -42*v**3 - 103*v**2 + v + 1227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 1 + 6, 0 = -5*m - 4*b - 99. Let v(t) = t**2 + 19*t + 2. Let o be v(m). What is the tens digit of (0 - 8\/(-6))\/(o\/171)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416075772 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (51 + -51 - 60) - (-14 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.4 (c) 1306\/7 (d) 3 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. Suppose 0 = -4*t - t + w. Calculate the greatest common divisor of 9 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-346)\/8)\/(-4*15) and -121\/30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 9*a)*(3 + a - 3)*(3 - 2 + 1).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027837 rounded to five decimal places?\nAnswer: -0.00278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 0*l**2 - 25 + l**2 - 2*l.\nAnswer: l**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szij when four letters picked without replacement from {j: 5, s: 5, q: 2, z: 1, d: 2, i: 1}.\nAnswer: 5\/8736","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25258 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y. Let b be ((-30)\/25)\/((-2)\/(-5)). Let c = -1 - b. Let z(l) = l - 1 - 3*l + 9*l + c*l. Give -5*i(v) - 2*z(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 19, 14, 13, 16, 23?\n\"Answer: 2*t**2 - 15*t + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-12))\/(((-108)\/48)\/(-9)))\/((-2)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-5)\/(-25) + 4. What is the third derivative of 11*r**v - 3*r**4 + 34*r**2 + 24*r**4 wrt r?\nAnswer: 768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -268837 at most -268847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 422155 to the power of 1\/2, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**(-1\/2)))*g**(-1\/4)*g*g*g\/(g\/g**(-5))*g*(g**(-19)*g)\/g)**(-44) assuming g is positive.\nAnswer: g**869","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3\/4 - 785*o\/4 - 195.\nAnswer: 5*(o - 13)*(o + 1)*(o + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 8, g: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000854661597 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 48\/8)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) 1 (b) 0.2 (c) -166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 4, -4, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14812 or 14777?\nAnswer: 14777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 10 = 7247*u - 7246*u, -4*y + u - 14 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 7:17 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 3043 = 2969. Let y = s + -287. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**(4\/7)*(v**(-1))**39 assuming v is positive.\nAnswer: v**(-269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 1895918710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.8 + -3.9. Let y = -4.8 + b. Put 1\/7, -1, -1\/5, y in descending order.\nAnswer: 1\/7, y, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (3 + 3 - 3) + -11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*r**4 + 464*r**4 + 3*r**3 + 70*r**2 - 232*r**4 + r - 2*r - 187*r**2 - 2 to the form g + y*r**3 + b*r + x*r**4 + j*r**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*(t\/(t\/t**15*t)*t)\/t*t**(-19) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a + 3cc?\nAnswer: 3e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 170, 381, 676, 1055?\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/165 and 133\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27945 - -838477\/30. Find the common denominator of c and 43\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) -14 (c) 2 (d) 18314\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - 4*m**3 - m**3)*(1 - 2*m**2 - 1) + 0 + m**5 + 0 + m**5 + 3*m**5 - 3*m**5 + 2*m**5 + m**5 - 4*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -j - 3, -4*j - 8 = 5*o + 4. Let c(q) = -q**3 + q**2 + 3*q + 404. Let y be c(o). Suppose 3*d + d - y = 0. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = 2*d, -d - 16 = -5*d. Solve r + l*r = -z + 7, -5*r = -3*z + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 62, 57, 58, 71, 102?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 3666298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/12*-2*44. What is the remainder when 339 is divided by (-5)\/(-3) + 6\/(-9) - i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -743 + 990. Let d = 623 - o. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 32 = -2*m - 4*b, 5*m - 2*b = 48. What is the smallest common multiple of m and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-0.30731\nAnswer: -2.15117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 - m**2)*((2*m**2 + 2*m**2 - 3*m**2)*(3*m + 4*m - 6*m) + 3*m**3 - 2*m**3 + m**3).\nAnswer: 3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*-1 + 7 + -5. Suppose -5*k + c = -12, f*c - 6 = -2*c. Suppose -3*i = -y - 127, 4*i + k*y = -0*i + 191. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -bb0a?\nAnswer: bb0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 v when four letters picked without replacement from llvlllvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7865211 = -6*x, -9*k + 6*k = -5*x + 6554364. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let r(l) = -3*l - 1557. Determine h(r(m)).\nAnswer: 9*m**2 + 9342*m + 2424249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14*((-14)\/(-4) + -1*3). Let c(l) = -3 + l + t*l + 0*l - 3*l. Calculate c(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3789 and 9.\nAnswer: 3789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f + 2. Let c(h) be the third derivative of -h**4\/24 - 2*h**2. What is a(k) + 5*c(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 0, o + f - 2 = 3*f. Suppose -111*d - o = -110*d. Let j(p) = -p. Let w(k) = -3*k + 1. Calculate d*w(t) + 7*j(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Let u = -1.3 + 1.4. Let n = u + g. Is n not equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 6811 + 3584. Is 46 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13163 + 13165. Let v(b) = -6*b - 11. Let m = 2 + -13. Let q(i) = -i - 2. Let r(s) = m*q(s) + x*v(s). Let f(w) = 12*w**2. Determine f(r(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208 + 212. Suppose 3*p + 4*v = 304, b*p - 340 - 107 = 3*v. What is the least common multiple of 60 and p?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b03 (base 12) to base 6.\nAnswer: -11203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 23*y + 273. Let m be n(-12). Which is the third smallest value? (a) m (b) 1\/2 (c) -4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504355 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*q = 2 + 6, 5*y - 2*q - 26 = 0. Let w be ((-483)\/6 + -6)*2. Let b = -165 - w. Calculate the greatest common factor of b and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/9 + 904060*d\/9 = 0.\nAnswer: 0, 452030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46916629 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 64. Which is the biggest value? (a) 18 (b) p (c) -0.5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 235 = -5*w, -156 + 0 = -3*w - 2*p. Calculate the smallest common multiple of 25 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2 - 30*z + 92. What is b(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 6*g - 18. Solve -g*r = 9 - 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 666561*k - 1333119. What is l(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -110 + -7c61a?\nAnswer: -7c72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5412)\/(-246))\/(1*-1)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:42 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -925400 - -1395565. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1257.27358 + 4197\nAnswer: 5454.27358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let w(u) = 5*u**2 + 3. Let t = 8 - 13. Let d be t\/(-2) + 2\/(-4). Let h(x) = -x**2 - 1. Let r(k) = d*w(k) + 6*h(k). What is r(g(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798635 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-20)\/(-7))\/((-18)\/(-63))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2. Let a(m) be the first derivative of -19*m**3\/6 + 32*m + 13. Let s(y) be the first derivative of a(y). What is b(s(c))?\nAnswer: -1083*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-14)\/12 - -1). Let v(n) = n**3 - 6*n**2 - n + 6. Let d be v(g). Let r(i) = i**3 - i + 9. Determine r(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43384419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6*x - 6. Let c be y(4). Let l be (-2)\/((-2)\/c)*5. Let j be 9 - (-3)\/(1 + -2). Solve j*o - o = -l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -388 - -743. What are the prime factors of g?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -120, -133, -150, -171, -196?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6204 or 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*b + 3 + 25 = 0, -5*l = -4*b + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 4. Suppose -3*y + 6*y = 9. Let p = -2 - y. Put p, f, -3 in decreasing order.\nAnswer: f, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2970 and 330.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {s: 7, i: 4, f: 5, o: 3}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578377 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Let i(v) = 3268*v. Calculate i(a(x)).\nAnswer: 3268*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3348 + -8902. Let w be (-3 - 53)*1*l\/1. What is w rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p + 8. Let t = -128 + 130. Let i be y(t). Solve i = -5*h + 11 - 1, -3*r + 9 = 3*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-3) + 12402\/390*25\/270 and 29\/4317.\nAnswer: 25902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7581647.\nAnswer: 7581647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007286 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34.54 + -34.64. What is the closest to -5\/7 in 4, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365771 is divided by 121916.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -593 + 607 - (-20 + -7).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 307138.2 hours in days?\nAnswer: 12797.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 453383.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = -3. Suppose 0 = -k + 3, n*k = -2*s + 39 + 13. What is the remainder when s is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 + -83. Let f be 1 - (-6 + (-2 - -6)). Put x, -2, f in decreasing order.\nAnswer: x, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - p + 2. Let d(g) = 28*g**2 - 6*g + 12. What is 2*d(s) - 12*x(s)?\nAnswer: 68*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12089 or -12049?\nAnswer: -12049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-34 - -33)*(-21 + 2). Suppose -u - b = -2*m, 1 + 2 = -u. Calculate the highest common divisor of 92 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 123, 252, 381, 510?\n\"Answer: 129*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/12*-2)\/((-16)\/72).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001347 rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1 - -3 - 1). Suppose -5 = -v*i - i. Suppose 0 = i*c - 3*y - 179, 5*c - 4*y - 85 = 92. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5233 (base 7) in base 3?\nAnswer: -2112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*(2*sqrt(1377)*3 + (-2*-2*sqrt(1377) - sqrt(1377)))*-4 + -1)**2.\nAnswer: -2592*sqrt(17) + 7138372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -n - x + 47 - 59, 4*x + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:43 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/9, -4, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.073 - 0.073. Let d = 64.073 - o. Round d to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 397?\nAnswer: 3\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -2*o + 3*h, -5*o - 3*h + 27 = -16. Calculate the remainder when o is divided by (12 - 2)\/1 + 297\/(-99).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-27)*54\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38953, -38954, -38955, -38956?\nAnswer: -38957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 55481?\nAnswer: 5547a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f = 11*f - 144. Let j = -23 - f. Let g(i) = 29*i**2 + 3*i. Let k(s) = -14*s**2 - s. Let p(o) = -2*g(o) - 5*k(o). Calculate p(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2 + i**2 + 2*i**2. Let n be (-3 - (-1 + -3)) + -1. Let b(g) = -2*g**2 + n*g**2 + 3*g**2. Determine b(x(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -6 in increasing order.\nAnswer: -6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 47 - 27 - 3*z + 6*z + 0*z.\nAnswer: 3*z - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161437 and -0.3.\nAnswer: 48431.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 35*o**2 + 75*o + 45.\nAnswer: 5*(o + 1)*(o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 8*h**2 + 8*h + 7. Let b = 12 - 19. Let k be x(b). Suppose 4*r + 6 + 2 = k. Is -3\/5 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 343788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00407595 rounded to 5 dps?\nAnswer: 0.00408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6780 or 213?\nAnswer: -6780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m. Suppose 816*t - 813*t + 6 = 0. Which is the nearest to -12? (a) m (b) 1\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-12)*-6*2002\/(-26026)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 5:30 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*c - 35 = 0, -136 = -4*s - 4*c - 108 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from oippppippoppppp?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83*a - 26*a - 33*a + (4*a - a - 2*a)*(54 + 77 - 150).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -19 + 109. Let j = 33 - o. Suppose n - j = -3*b, 9*n - 4*n = 5*b - 5. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1215293 by 5.\nAnswer: -1215293\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -70253 (c) 1.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/15)\/(-1)*-3. Let c = 51 + -31.8. Let l = c + -19. What is the closest to l in -3, 0.4, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1045811893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g**2*s**2 - 48576*g**2*s + 4*g*s + 2*s**2 - 28*s + 87 wrt g?\nAnswer: -6*g*s**2 - 97152*g*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -6*v**4\/13 - 10*v**3\/13 + 18*v**2\/13 + 42*v\/13 + 20\/13 = 0.\nAnswer: -5\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x**9))\/x)\/x**(-3))**(6\/5)*(x**10*x*x\/(x*x**(-5\/4)\/x))**(-2\/55) assuming x is positive.\nAnswer: x**(-169\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-568)\/(-6) + 5\/15. Let b = -21 + 34. Suppose 6*n - 3*n = -i + b, -5*n = -3*i + q. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -5*b + n + 30, -5*b - n + 40 = 0. Suppose b = i - 6. Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-k**4 - 4*k**3 + 4*k**3 - 2*k).\nAnswer: 2*k**4 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2551*a - 189. Let v be i(-15). Does 56 divide (-1)\/((-34)\/v) - (-2)\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7\/5, 0.23, -0.12 in increasing order.\nAnswer: -7\/5, -0.12, 0.23, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Suppose 0 = 5*x + 3*s - 5 - 32, r*s - 3 = x. What is the greatest common factor of x and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -1138, -2\/31, -2\/5?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210273 (base 9) to base 16.\nAnswer: 4ae350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 2*v**5\/5 - v**4\/6 + 26*v**3\/3 + 1831*v**2 + 574*v. What is the derivative of m(s) wrt s?\nAnswer: 24*s**2 - 4*s + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (385\/44 - 8)*(10\/6 - 2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108194011 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:08 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 99*q + 7. Let r(l) = 4*l**2 - 98*l + 10. Calculate 3*g(a) - 2*r(a).\nAnswer: a**2 - 101*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 3*u - 49. What is the tens digit of z(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.889609 decades?\nAnswer: 58.89609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-618)\/(-162))\/(4\/6) and 77\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27228 is divided by 6807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1057.5, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5001104613.99999966 - 5001104570. Let b = m - 44. What is b rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2 - (-1)\/(-2). Let j(y) = -4*y**s + 0*y + 0 + 4*y - 1 + y**3. Let d = 1141 + -1138. Calculate j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -21.9. What is the nearest to w in -0.4, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 6. What is m(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 70. Let l(y) = -3*y**2 - 132. Determine f(l(n)).\nAnswer: 6*n**2 + 334","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 68612 - 220188. Suppose 156614 = 14*y + s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 - 104*y**2\/5 - 202*y\/5 - 20.\nAnswer: -2*(y + 1)**2*(y + 50)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + (sqrt(704) + sqrt(704) + -1 + 0 - (5 + 0 + sqrt(704)))**2 + 3)*-4.\nAnswer: -2986 + 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47103839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -35\/259362?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/3 in -5, -4, -7, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298589462?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53458319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -4*u + 9*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52184629, 104369257, 156553885, 208738513, 260923141?\nAnswer: 313107769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 22. Let x be d(-10). Solve x*b + g = -6, 0 = 5*b + g + g + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -d - 5, -4*d + 3*g - 2*g = -32. Let v be 37\/d - 4\/14. Suppose -4*j - v = -9*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18166 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 203 + 231. Find f such that 20*f**r - 15\/2*f**5 - 20*f**2 + 10*f + 0 - 5\/2*f**3 = 0.\nAnswer: -1, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*n + 393*n = 1738. Factor 0 - 10\/3*w**n - 2\/3*w**3 + 28\/3*w.\nAnswer: -2*w*(w - 2)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.022 - 38. Round k to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150703 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 439425599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 9*q + 7. Let v be b(10). Let c(i) = -i**3 - 4*i**2 - 3*i + 3. Give c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5746.41*-116.\nAnswer: -666583.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/14 - 12*t**3\/7 - 108*t**2\/7 - 25*t + 2. Suppose s(q) = 0. Calculate q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29876577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -37.2. Let y = c + -0.2. What is the biggest value in y, 0.3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 29, 4, -39, -5, -4 in decreasing order.\nAnswer: 29, 4, -2, -4, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9443 divided by -133?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) -291523 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfr when three letters picked without replacement from mvrvffvcmvf?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -523, -1188, -2111, -3286, -4707, -6368?\nAnswer: -8263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18653798 to the nearest integer?\nAnswer: 4319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = 0. Suppose 2*b - 2*c - 40 = 0, z = c + 4*c + 15. Suppose 0 = 4*t - 3*t - 6. What is the remainder when b is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2904 and -25\/3872.\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145983 is divided by 163710?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2175*a - 2173*a + 6 + 0 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 j when four letters picked without replacement from jflll.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.508 + -3.778. Let y be (1 - 3) + 0 + 3. Which is greater: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 + 0 = 0. Let r = 1435 - 1438. Sort h, r, 4 in decreasing order.\nAnswer: 4, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let l(f) = -25*f + 5. Let n(z) = -25*z + 5. Let g = -5 - -2. Let b(q) = g*l(q) + 2*n(q). Give i(b(s)).\nAnswer: -50*s + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0.1397 (b) -3 (c) 4\/3 (d) -5 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 731 = 5*g - 28*g - 258 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8.8. Let b = q + 15.8. Let w = b + -16.99999744. What is w rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 23.3. Let n = q - 2. Let l = -3\/73 - 125\/511. What is the nearest to l in n, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94256383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**5\/7 - 8990*o**4\/7 - 17972*o**3\/7 + 4*o**2\/7 + 17974*o\/7 + 8986\/7 = 0. Calculate o.\nAnswer: -4493, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndx when three letters picked without replacement from nddnxxxdnxxn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.92 + -0.08. Let f = 0.2 + -0.7. Let y = -3\/109 - -239\/763. Which is the closest to y? (a) -0.3 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3 - p + 1 + 6 + 0. Determine g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011111 (base 2) to base 11\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((49\/(-7))\/(-14))\/((-3)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**5 - 14*j**4*m + 5*j**2*m - 376*j*m - 2*j wrt j.\nAnswer: 40*j**3 - 168*j**2*m + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 w when three letters picked without replacement from jnnnssnrosnswononjsn?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23611 is divided by 113?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14026 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 + 36*h**2 + 36*h + 31. Let o be w(-17). Let z(x) = -4*x**3 - 3*x**2 + x + 11. Let l(b) = -3*b**3 - 2*b**2 + 10. Give o*l(i) + 2*z(i).\nAnswer: i**3 + 2*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538682525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7979891 - 656656 = -5*o. Let g = -609647 - o. Round g to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.046 + -51.046. Which is the closest to -1\/4? (a) -0.4 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 59534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 10080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/98*(-14)\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00023072 rounded to 6 decimal places?\nAnswer: 0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/36*1)\/((-17)\/34)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**14*z**(4\/7)*z)\/((z*z\/(z\/z**(2\/13)))\/z**(-1\/5)) assuming z is positive.\nAnswer: z**(6469\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7472 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 1458409*a - 2916830*a + 1458421*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.18 in 1\/10, -0.5, -0.04, -3, -123?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001344302 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-587889)\/180276 + 12\/1086?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**9)*i*i\/((i\/i**8*i*i)\/i))\/(i\/(i*i**(-8))*i\/(i*((i*i**(-2\/7)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 39*b**2 - 39*b + 40. Determine h(-40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266583715 is divided by 70?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.3, -2, 2\/75, 11\/3, -76?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i**2. Let o be y(-1). Let g be -3*(-14)\/o*-2. Let n be (-2)\/g*(-3)\/6. Which is the nearest to -0.2? (a) -3 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) 6 (c) 307\/5 (d) 0.1 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h**3 + 39*h**2 - 7*h + 8. Let o be k(-8). Solve 9*z - 11*z - 8 = o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*t**3 + 37*t**3 - 85*t**3 + 17*t**3 - 585*t**2 in the form v*t**2 + z + b*t + r*t**3 and give v.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-2 + 21\/6). Let p be 54\/y*(-24)\/9. Let g be (-2)\/p + 26\/12. Calculate the highest common factor of 14 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 5\/128 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158801 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39442 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-97*l**2 - 70*l**2 + 138*l**2)*(-3 + 5*l + 3).\nAnswer: -145*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040.28218 rounded to the nearest integer?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 15*w - 259. What is m(22)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1076*p = -488*p + 1665*p - 7644 - 8127 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107710 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 21*b + 24*b = 0. Solve 7*v = 4*h + 6*v, -4*h - 4*v - 20 = b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (1 - (47 - 8))) + -11.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1216 + -1209.09. Let t = 7 - p. Which is the biggest value? (a) t (b) -0.1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12021302330 (base 4) to base 12.\nAnswer: 659538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*x = 470140 - 486090 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 582*n - 587*n + 94385, -3*n + 56631 = 4*x. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + v**2 - 2. Let k be x(0). Let q be (2 - 0) + k + 48. Suppose -q = -6*c - 0*c. What is the highest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159263 at most as big as 159265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*i + 42, 3*p - 10 + 1 = 0. Let z be (-2)\/((-9)\/i*2). What is the closest to z in -3, -0.06, -0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -27*o + 1. Suppose h + h - 8 = 4*k, 3*h = 2*k + 8. Let s(d) = -d - d + h*d - 2*d. What is n(s(r))?\nAnswer: 54*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1. Let g(w) = w**2 + w + 1. Let i(n) = 3*n**2 + 3*n - 1. Let o(a) = 2*g(a) - i(a). Let v(x) = -4*l(x) - o(x). Is 15 a factor of v(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -296 + 298. Let p(y) be the third derivative of y**6\/60 - y**5\/20 + y**4\/24 - y**3\/3 - y**2. Calculate p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - 51. Let y be 1 + (5\/(-15))\/((-12)\/(-45)). Is y != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 1642?\nAnswer: 1642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13)\/6)\/(-13))\/((-7)\/(-98))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -32*o + 8 - 3\/2*o**2 + 5\/3*o**3. Calculate the remainder when s(-5) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 0*g = 3*g. Let d = g - -3. Solve -5*y + 3*y - r = -d, 18 = 2*y + 4*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -505591 (base 11) in base 6?\nAnswer: -25230035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58297 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 3, -1 in increasing order.\nAnswer: -29, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 713615 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 14*c + 15. Let z be t(-5). Sort -0.5, z, -1\/17.\nAnswer: z, -0.5, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1236446992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -s + 540, s - 3*p + 122 - 642 = 0. What is the highest common divisor of 76 and s?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 23*r. Let w(u) = 639533*u. What is l(w(y))?\nAnswer: 14709259*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**3\/6 - 116490*q. Let t be (-8)\/6*(-3)\/2. Let b(u) = 3 - 3 + t*u**2 + 11*u. What is b(a(p))?\nAnswer: 2*p**2 + 11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llhf when four letters picked without replacement from bbbbhbflbblhbhfb?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 3231189219\nAnswer: -3231189195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) + 8\/3. Does 11 divide 3\/y*(-104)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/6 + 3*q**2\/2 - 11*q. Give w(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**5 - 7*c**3 + 4*c + 7. Let a(l) = -3*l**5 + 4*l**3 - 2*l - 4. Let j(t) = 7*a(t) + 4*k(t). Find the second derivative of j(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 1923700*m = 1923704*m + 21, 5*m + 29 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*p**5\/7 + 477*p**4\/7 + 2283*p**3\/7 - 180*p**2 = 0. Calculate p.\nAnswer: -5, 0, 1\/2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1133 + -1134. Let k be -2 + 1*(2 - -1). Let r(w) = 2*w + 4. Let c(o) = -1. Let l(s) = k*r(s) + 4*c(s). Let m(p) = p. Determine d*l(z) + m(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113*p**3 - 290*p**2 wrt p.\nAnswer: 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - 2.7. Sort -2\/3, -1, m in descending order.\nAnswer: -2\/3, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*r - 11*n + 10*n, -3*r - 3 = -3*n. Solve -3 = 2*i + r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -14*o**2 + 2925*o - 14654. Give k(5).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*d**3 - 447*d**3 + 128*d**3 + 111*d**3 + 103*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/24 + 1208*x**2. Let n(c) = 285*c**2 - c. Give g(n(r)).\nAnswer: -285*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2762619, -5525235, -8287851, -11050467?\n\"Answer: -2762616*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 546*p**5 + 486*p wrt p?\nAnswer: 10920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 5*o**2 - 5*o + 5. Let p be s(3). Let t be 3 - (2\/(-1) + p). Let b = t - -5\/2. What is the closest to 1\/3 in b, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -94.22\nAnswer: -9.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -3*s + 4*c + 166, -s = -5*c - 96. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and (8\/10)\/((-6)\/(-135))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 9:55 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1064.3 - -1064.4. Sort 4, u, -0.3.\nAnswer: -0.3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one sixteenth of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7121655 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 460996106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**2 + 2 - 6 + 4.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24129 is divided by 1698?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.2. Let x = -2143.14 - -2141.14. Which is the second biggest value? (a) -0.1 (b) x (c) m (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gggj.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 107692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53413 rounded to the nearest one thousand?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 0)*3\/(-795). Let m = b + 2924\/795. Let w = 61\/15 - m. Sort 2, -5, w in increasing order.\nAnswer: -5, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112802644 and 3320?\nAnswer: 1128026440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-17640)\/2100)\/((-14)\/20). Suppose 21 = 2*u - 3. What is the greatest common divisor of y and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-90))\/((-18)\/(-10)). What is the biggest value in s, 1, 4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.12 + -0.24. Let l = 2.58 - v. Let t = l - 2.2. What is the second smallest value in t, 0.3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482760.\nAnswer: 2, 5, 7, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9\/c*c*c**(1\/4)*((c*(c*(c*c**(1\/8))\/c)\/c)\/c)\/c**(1\/11) assuming c is positive.\nAnswer: c**(817\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -h - 5, 3*f - h = f + 5. Solve -5*y + f*y + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (3 - ((-104)\/10)\/(-2)). What is the closest to l in -1, 1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**2*w**(16\/9)*((w**(-10\/9)\/w)\/w)**(-18))**(-44) assuming w is positive.\nAnswer: w**(-24068\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1836029 = 7*r + 408029. Suppose 28*g = 24*g - r. What is g rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 5, g: 3}. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-209)\/817)\/(33\/6)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -23*y + 9*y + 3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/4 (b) -2\/9 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80 - -186?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4*o = -2*t + 16, 2*t - 1754 = 45*o - 1746 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnantnnnabaaaaa. Give prob of sequence ab.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -651580 or 86?\nAnswer: -651580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.56 - -3.56. Let y = -0.02 - 0.28. Which is the biggest value? (a) y (b) -1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21*1 - 2 - (11 - 9). Suppose 0 = -16*n + r*n - 66. Calculate the remainder when n is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1716\/(-86) + 15440\/860 + -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, s: 1, t: 6, l: 1, g: 3}. Give prob of picking 1 l and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9542 divided by -367?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*g - 55*g = -12432. Let n = -887 - g. Solve -34 = -5*r + d - 4*d, -2*r + n = -3*d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-11) - 21\/(-7). Suppose -17 = w - 5*d, 4*w + 3*d + 0*d = 1. What is the smallest value in r, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in 4, 0.9036, 1?\nAnswer: 0.9036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3 (c) 42 (d) 113 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/45 - 657\/(-135)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101\/7 or 2588427?\nAnswer: -101\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7847210, -7847207, -7847204, -7847201?\n\"Answer: 3*g - 7847213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -372 + -12765?\nAnswer: -13357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 - -1231?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002619 rounded to six dps?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*k**2 - 271*k**2 - 6*k**2.\nAnswer: -746*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*(sqrt(80) + (sqrt(80)*1 - sqrt(80)) + 1 + -2)*-6)**2*2.\nAnswer: -20736*sqrt(5) + 209952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lpljllpljalpparllp.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 720 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 1*-4*3\/(-54)*-3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 246, 121, 2\/11 in decreasing order.\nAnswer: 246, 121, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000395248434 rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187*t*v*x - 45*t*v + t*x + 2*t + 3*v*x - 179*v - 7*x - 2 wrt x.\nAnswer: 187*t*v + t + 3*v - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2596*t = 18453 + 7507 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*11\/(231\/(-70)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 126\/(-33) + 4 - 64\/836. Let z(i) = -i**2 + 6*i - 4. Let n(p) = -p + 16. Let t be n(11). Let y be z(t). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttortfohrrtto. What is prob of sequence fo?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56863313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041178 - 32*m - 3*m + 520589 + 520589.\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:11 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39278029 and 0.5.\nAnswer: -19639014.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6071034*o**2 + 1379*o - 7569 wrt o?\nAnswer: -12142068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h - 2*h)*(-3 + 3 + 1)*(3 - 1 + 1)*(-12 - 3 + 7)*(6 - 5 + 6).\nAnswer: 504*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b. Let t(g) = 44*g - 35. Give -4*c(r) + t(r).\nAnswer: 16*r - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knnn when four letters picked without replacement from {n: 5, k: 7}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -951, -3369, -7267, -12645, -19503?\nAnswer: -27841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(269\/2690*(-3)\/((-15)\/10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7 - -32) + 8 - 9) + 11 + -2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(204) + (sqrt(204) - (sqrt(204) - sqrt(204)*-4)*6))\/(4*(sqrt(768) + -3*(sqrt(768) + (sqrt(768) - (sqrt(768) + 2*sqrt(768))) - sqrt(768)))).\nAnswer: -53*sqrt(17)\/224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/60 and -89\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/24360 and 179\/2336124.\nAnswer: 23361240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.71 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 161 = -154. What is the greatest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - (-2*sqrt(77) + sqrt(77)))*-4)\/(sqrt(33)\/sqrt(3)*5))**2 + ((sqrt(448) - 5*sqrt(448))**2 - sqrt(56)\/(sqrt(8) + 6*sqrt(8))).\nAnswer: -sqrt(7)\/7 + 179543\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:12 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 11*a**2 - 44*a. Let q(u) = -u**2 - 25*u - 10. Let t(j) = -2*j**2 - 27*j - 12. Let d(c) = -6*q(c) + 5*t(c). Calculate 8*d(w) + 3*p(w).\nAnswer: w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:53 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u - 3 - 4 + 2 + u. Is p(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3009028 and -5\/11649.\nAnswer: 3186560652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 217 + -222. Let p be (-4)\/(-3) + (-2)\/2. Let x = 1 - 1.4. Put r, p, x in descending order.\nAnswer: p, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294479, -1177875, -2650201, -4711457, -7361643?\nAnswer: -10600759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 17*r**3 + 6*r**2 - 7*r - 12. Let a(n) = 48*n**3 + 18*n**2 - 20*n - 35. Let w(x) = -6*a(x) + 17*q(x). Calculate w(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let j be (-6 - -9*(-10)\/(-15))\/(-2). What is the third biggest value in v, j, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cussadd. What is prob of sequence ac?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 4090230?\nAnswer: 4090230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2128, 4, 3, 49, -5 in decreasing order.\nAnswer: 49, 4, 3, -5, -2128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/7 + (364\/(-104) - (3942\/(-28))\/(-3))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 5\/2554?\nAnswer: 5\/2554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4976870 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -152560, -152552, -152522, -152458, -152348, -152180?\n\"Answer: 2*r**3 - r**2 - 3*r - 152558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*l**4 - 2*l**2 - 10336.\nAnswer: 4128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19195 and 1879365.\nAnswer: 20673015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6606734 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*d - 10, -5*d = 4*f - 8 - 7. Let g(c) = 4*c**2 - 11*c - 1. Let u be g(f). Calculate the highest common divisor of u and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.536 + 0.164. Let j = o + -8. Let z = -8 - -5. Put z, j, 2\/13 in descending order.\nAnswer: 2\/13, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -1094*t**2 + 2*t. Let x be n(8). Round x to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/9 (b) -4 (c) -1\/26 (d) -263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 8. Let m = -4 + n. What is the second derivative of 0*d**2 - m*d - 4*d**2 + d**2 wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q*q**(-6)*q\/(q**(-4\/5)*q)*q**(3\/7) assuming q is positive.\nAnswer: q**(113\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 10. Let p be w(9). Let y(g) = -g**2 + 3*g + 4. Calculate the remainder when 24\/4 + 4\/p is divided by y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60467522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-720)\/980*7*7?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -417 + -0.15\nAnswer: -417.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4059 and 1353?\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35469 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*p + 12. Suppose -2*q = 8*x - 10*x + 10, -p*x + 4*q = -10. Solve -2*t - 50 = 3*t - x*w, 5*w = 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/12 - 2*i**3\/3 - i**2\/2 - i. Let r be y(5). Let k(h) = h**2 - 4*h + 6. Calculate k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -7*n - 0*n. Let g = n - 13. Let c be -1 + 20 + 40\/g. What is the greatest common divisor of 136 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x + 14*x - 23*x to w*x + r and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, g: 2, s: 8, c: 1}. Give prob of sequence csqg.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30742 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35794.9923 - -0.2.\nAnswer: -35794.7923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4\/11, 0.00111 in descending order.\nAnswer: 13, 4\/11, 0.00111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 19 - 4. Suppose 3*l = y*l - 4. Find the third derivative of -l*g**2 + 5*g**2 - g**4 - 4*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82918.96 nanograms in kilograms?\nAnswer: 0.00000008291896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6638, 13521, 20662, 28079, 35790?\nAnswer: 43813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**4 + 3341*k**3 - 982*k**2 + 3 wrt k?\nAnswer: 24*k + 20046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 778 + -783. Let p be (-6)\/(-9)*((1 - 2) + 0). What is the closest to 1 in -1, o, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = 6*z. Suppose g + 2*c + 16 = 12, 2*g - 3*c = 13. Suppose 5*m + g*t = -z*t + 165, t = -2*m + 66. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-2)*(-189)\/36. Let y = w - 197\/5. Is y less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -517*i + 85937*i**3 - 2*i**2 + 517*i. Let m be c(-4). What is m rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4800) + -1.\nAnswer: -1 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 + 3*u**3 - 3*u**3)*(-u + 0 - 1 + 6)*(-4 + 1 + 2) as a + c*u**2 + z*u**4 + m*u + f*u**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*k = -94*k - 1820. Calculate the highest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 100c8b9 + 18?\nAnswer: 100c8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*s = 166*s. Let w(q) be the second derivative of s - 2\/21*q**3 - 5*q + 0*q**2 - 1\/42*q**4. Find r, given that w(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 12. Suppose 5*r - z = 14. Let h(t) = -698 + r*t + 698. Let m(c) = 3*c. Determine h(m(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 113 - 101 + 172 + b**2 as l*b + k + x*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7313 is divided by 7100.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 + 3)*1\/(-5). Let x(y) be the third derivative of -y**5\/60 - y**4\/12 + 5*y**3\/6 - y**2. Let w be x(-4). Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1.88231.\nAnswer: -5.64693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -206 (b) -2 (c) 4 (d) 3 (e) 220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*k = 118, -60 = 174*p - 175*p + 4*k. Calculate the highest common divisor of p and 2522.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*r - 43*r + 5356 = 245*r for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 7:24 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 874 - 864. Suppose 4*p - l*p = -456. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-19)\/(k**(-2\/17)*k)*(k\/(k\/(k*k\/k**(12\/7))))\/(k\/(k\/k**4)) assuming k is positive.\nAnswer: k**(-2808\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4900 and 3065650?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-28)\/(-9)))\/((837\/252)\/31).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1932 and 5749149?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 77 + 3. Let t be (-16)\/(-10)*(51\/2 - -2). Let c = 47 - t. Solve 2*j + c*j - v = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 g, and 1 t when three letters picked without replacement from {y: 1, t: 2, i: 1, g: 1, k: 1, o: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/908 and -23\/32.\nAnswer: 7264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -n + 3950, -2*n = w - 1298 - 683. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 2 z when four letters picked without replacement from {x: 1, a: 3, u: 4, m: 2, z: 9}.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 4*j**3 + j**2\/2 + 11*j + 5251. Let t(b) = -6*b**2 - b - 6. Calculate 5*t(q) + 3*x(q).\nAnswer: 6*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 15*t**2 + 4*t - 4. Let s be v(1). Suppose 5*m + 5*z + s = 0, 2*m = -z - 3*z - 16. Let -2\/21*y**m + 0 - 4\/21*y + 2\/21*y**3 = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/9*12)\/((9\/(-15))\/(126\/140))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*n**4 + 4*n**2 - 1\/8*n**5 + 9\/4 + 47\/8*n - 3\/4*n**3.\nAnswer: -(n - 2)*(n + 1)**3*(n + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107463.\nAnswer: 3, 113, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = g + 5*c, -7 = 4*g - c + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -73831, -73824, -73803, -73762, -73695, -73596?\n\"Answer: z**3 + z**2 - 3*z - 73830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55 - 51. Put k, -6, -3, 5 in decreasing order.\nAnswer: 5, k, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23682, -23696, -23710, -23724?\nAnswer: -23738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3))**41*(p*p\/(p**13*p*p*p))\/p**(-2\/5))**(-2\/139) assuming p is positive.\nAnswer: p**(-412\/2085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 421 - 131?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Suppose -3*w - 92 + 71 = 0. Let p(x) = -x**3 - 4*x**2 + 21*x - 5. Let n be p(w). Let k(i) = -9*i - 4. Give n*a(z) + k(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4076, 16267, 36572, 64979, 101476, 146051?\n\"Answer: -2*t**3 + 4069*t**2 - 2*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.25894 millilitres to litres.\nAnswer: 0.02025894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2018*h + 2002*h + 112 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/1)\/((32\/(-8))\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3737 and 0.23?\nAnswer: 859.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15110\/(-80)*-12*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13. Suppose -4*r + 4*f + 20 = c, -5*r = -f - 19 - 6. What is the remainder when 14 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8645\/171 - (-2)\/(-9)) + (11 - (-1054)\/(-93))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 62c7?\nAnswer: 62c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (63\/25)\/9*1364\/4774\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -47, -157, -281, -419, -571, -737?\n\"Answer: -7*h**2 - 89*h + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 837224456 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71.9 - 72. Let o = -24 - -14. Let v = -6 - o. Which is the nearest to 0.1? (a) 3 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-2 + (-3)\/(-9)). Let b(i) be the third derivative of -i**5\/60 - i**4\/6 + 7*i**3\/6 - 7*i**2. List the prime factors of b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78323 is divided by 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*d = -11, -2*h = -3*d + 16 - 1. Let a(c) = -4*c + 2*c + 3*c. What is a(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -75 + 74.5. Let b = 10 + -12. Put m, b, 0 in descending order.\nAnswer: 0, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**3 - 2*n**2 - 10*n - 15. What is l(-2)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 4 (b) 143 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 36 - 8. Put s, 2, 0, 3 in descending order.\nAnswer: s, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 0*w - 404. Suppose 2*c = -3*c + 2*l + w, -c = 3*l - 27. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (18 - 21) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 7. Let s be (m\/5)\/(8\/20). Let a = -1 + s. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3 + 0 - 6 - 9*x + 4*x**2. Let f(y) = 3*y**2 - 8*y - 3. Let o(i) = 6*f(i) - 5*m(i). What is o(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-36 + 17 + 10)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.371 - -3.23. Let q = 1.179 - c. Round q to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7990 is divided by 3976?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 6*t + 7. Calculate p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 570211483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85\/28 - -11\/4. Suppose 39 + 6 = 5*w. Suppose -j - w = l + l, -5*j = -5*l. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 22. Let w be (p + 1)\/(6 + -4). Which is the second smallest value? (a) -0.1 (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 29*q + 332. Let p be l(-10). What is the highest common factor of 246 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 236712 and 8424.\nAnswer: 83085912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 29 = -5*n. Let u(j) = 14*j**2 + 5*j. Let a(i) = 27*i**2 + 9*i. Let b(l) = -6*a(l) + 11*u(l). Give b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -51. Let v(g) = -g**2 - 8*g - 2. Calculate the remainder when v(-3) is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - 16. Suppose r*u + 20 = 0, t - 2*u = -2*t + 16. Sort 5, t, 4.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 568, 561, 554, 547?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**3 - 5*p**2 + 48*p + 15*p**3 - 3*p**3 - 8*p**3 wrt p.\nAnswer: -12*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 778 = -144*a - 1159 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*g = 10, -2*h + 2*g = -g - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/(b\/(b\/(b**17\/b))))\/((b*b\/b**(-2\/35))\/b) assuming b is positive.\nAnswer: b**(-492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85077, -85375, -85677, -85983?\nAnswer: -86293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -j + 544, -75 + 594 = j + 2*q. Round j to the nearest ten.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.39, 0, -2 in descending order.\nAnswer: 0, -0.39, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1502324.504 - 9\nAnswer: 1502315.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19.51 - 19.41. What is the second smallest value in m, -1\/9, 2\/5, -300?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*h - 3. Suppose -4*g + 5 - h = -3*f, 3*g = 6. Suppose -2*p - 48 = -2*o, f*o + 21 = 3*o - 4*p. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 1142?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 35814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.398, 0.4, 3, 17.7, 0.1, 5\/4, 5?\nAnswer: 0.398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a litre in millilitres?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sshs when four letters picked without replacement from {s: 3, h: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -328 - -329.31. Let n = 1.51 - h. Suppose -6*m = -m. Put -2\/3, m, n, -2\/9 in increasing order.\nAnswer: -2\/3, -2\/9, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-12)*(1 - 10\/12).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -10*f**4 + f**3\/3 - 109*f**2\/2 + 336*f. Differentiate i(s) wrt s.\nAnswer: -240*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 7. Let z be (5\/(-40))\/(1\/(-6)). Which is the nearest to 0? (a) -0.4 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32592735\/(-678834) - 3\/(-234)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -276. Let w = -157.6 + z. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*v - 2. Let t = v + 1. Let b = t + 11. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + 23*z - 14. What is the hundreds digit of k(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-14) + 86\/7. Let f(h) = 6*h**3 + 55*h**2 + 81*h - 75. Let a(l) = -l**3 - 11*l**2 - 16*l + 15. Let t(n) = -11*a(n) - 2*f(n). Is t(o) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -60. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinnbbnnii. Give prob of sequence bi.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 245084 times 0.03\nAnswer: 7352.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -19*z**2 - 95*z - 21. What is b(-4)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 21*h + 73. Let j be r(-4). Suppose 3*c - j*c + 560 = 2*q, 4*c = 2*q + 1120. Does 40 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0 = -5. Suppose 3*j + 5*w = 25, 0 = 4*j - 5*w - 42 - 3. Calculate the remainder when 224\/4*n\/(-2) is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + ((sqrt(243) + 1)**2 - (sqrt(27) + (-2 + sqrt(27) + 1 - sqrt(27))))).\nAnswer: 60*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 + 13 + 115 - (-4 - 27 - -4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.15. Let o = -137 - -136.948. Let s = t + o. What is s rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482458233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 + 6 + (-232)\/36 + 5 and 119\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:50 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 82, 4.\nAnswer: -32, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15282333 and 29667.\nAnswer: 473752323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 2*i**3 + 8*i**2.\nAnswer: -i**2*(i - 2)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8555, 10007, 12427, 15815?\nAnswer: 20171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6866 is divided by 6387?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 0.3. Let s = 0.4 - q. Suppose c + 4*c = -5*d - 15, 5*d = c - 27. What is the biggest value in s, c, -4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3734 + -74579\/20. Find the common denominator of -29\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39278499 is divided by 43546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*f - 1333*f - 42070 = -279*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20103330 - 13103?\nAnswer: -20123033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1479*s - 713*s - 762*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 4 (c) -4\/19 (d) 0.2 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 - o**2 - 5*o**2)*(-2 + 2 - o) + 4*o**3 - 3*o**3 + 3*o**3 + (-3*o + 5*o - 4*o)*(1 - 1 - o**2) in the form m*o + x*o**2 + a + r*o**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 715*q - 330. Let m(i) = -19*i + 1. What is -h(v) - 330*m(v)?\nAnswer: 5555*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2420303909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9 + 0.1. Let u = -275605 - -275605.17. Is v > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2268*w + 2339. What is z(1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 8 = 2*m - m, 0 = -5*i + 3*m + 19. Suppose -i = -4*w + 3*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -34, -49, -64, -79?\n\"Answer: -15*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*b - 1646 + 1673 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -20.01. Let v = 0.102 - 0.792. Let n = v - i. Sort 5, 0.3, n in descending order.\nAnswer: 5, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/897088 and -115\/12?\nAnswer: 2691264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/105 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 2034 - 738. What is the lowest common multiple of u and 54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/4 - 11*j**3\/3 - 7*j**2 - 1. Let f be p(12). What is the tens digit of f\/(-2) - (1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16, 10, 36?\n\"Answer: 26*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 3*v**2 - v**5 + (3 - 3 - 2*v)*(-v**4 - v**4 + v**4) - 40*v**3 - 38*v**5 + 40*v**3.\nAnswer: -37*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 + 58. Suppose -4 = -h + 1, -j = -s - 4*h. Let r = -2 + s. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 3*d**2 - 2*d**2)*(-18*d + 101*d + 3*d).\nAnswer: -172*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzz when three letters picked without replacement from bgzbgz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*0.5237.\nAnswer: -12.0451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 4. Let i be q(-2). Suppose i*d - 5 = -4*a + 21, a = -2*d + 14. What is the highest common factor of 30 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, 5, -8, 2, -1027 in descending order.\nAnswer: 233, 5, 2, -8, -1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtt when three letters picked without replacement from {t: 2, j: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -249*a**2\/2 - 8*a + 91. What are the prime factors of o(-5)?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 3487, 5, 59, -5 in decreasing order.\nAnswer: 3487, 59, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1.0592?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 9. Differentiate -6*l + 4*l + 8 - m*l wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -105*t + 1096. Calculate b(15).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(44\/(-16) - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.801296l to millilitres.\nAnswer: 7801.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -952*s = -958*s + 24. Let j(a) = a + 7. Let n(v) = -2*v - 6. Calculate s*n(l) + 3*j(l).\nAnswer: -5*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45566, 182348, 410316, 729470, 1139810, 1641336, 2234048?\n\"Answer: 45593*g**2 + 3*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52883165 divided by 18523.\nAnswer: 2855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4664984 to the power of 1\/2, to the nearest integer?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14\/9657 - -9689\/306878. Find the common denominator of y and -8\/27.\nAnswer: 7722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 7, 1, -5.\nAnswer: -5, 1, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 3. Let a be c(6). Let p be -536 + 0 - (3 - a). What is the common denominator of 2\/6 + p\/132 and -74\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11893 + 5953 + 5946 + 5*z**2 + 120*z to the form y*z**2 + j*z + m and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3*y**2 + 5*j**2*y**2 - 9714*j**2*y - 556*j*y**2 + 735*j*y + 5*y**2 wrt j.\nAnswer: -18*j*y**2 + 10*y**2 - 19428*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 - -0.26. Let b = -3 - -8. What is the nearest to 0 in 4, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1356177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7959152 to the power of 1\/2, to the nearest integer?\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = l + 2*l. Which is the third biggest value? (a) 0 (b) l (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:16 AM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 + 6*b**2 + 0*b**2 - 10*b**2. Let x(d) = -2*d**2 - 2*d + 6*d**2 + 2*d. Calculate t(x(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 16*s**2 + 17*s + 22. Suppose i = 3*l + 23, 0 = -4*i - 0*i + l + 70. Let j = -12 - -20. What is the remainder when b(i) is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111 by -3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 434242?\nAnswer: 434251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3))\/w**(-6\/5))\/((w*w**(2\/11))\/(w**(-3\/8)\/w))*((w\/(w*w*w**(-1\/4)*w))\/w*(w\/w**0)\/w)\/(w*w\/(w*w**0)*w)**4 assuming w is positive.\nAnswer: w**(-6207\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325376553.\nAnswer: 3, 108458851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 9 - 4) + -1 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*h - 2*h = 20, h = 3*y + 15. Let x = 14 + y. Suppose -x*i = -4*i - 165. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 0, 0.3, -1\/13, -23?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*159.5\nAnswer: -79.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 58*d**2.\nAnswer: -58*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 v when four letters picked without replacement from {v: 9, o: 5}?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 13*o**2 - 11*o + 14. Let l = 3863 + -3875. Give s(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192017\/3 < 64006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1107, -3808, -8281, -14478, -22351, -31852, -42933, -55546?\n\"Answer: 8*x**3 - 934*x**2 + 45*x - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-h**3 - 5 + 5) - 3*h - 12*h + 18*h + 6*h**3.\nAnswer: 7*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 11:28 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18970740353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 5. Let h(f) = 1. Let r(p) = -p**3 + 5*p**2 - p + 4. Let k be r(5). Let l(m) = 3. Let o(i) = k*l(i) + 2*h(i). What is j(u) + 4*o(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 725, 728, 733, 740, 749, 760?\n\"Answer: x**2 + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -404 - 75*u + 6*u**3 + 78*u + 402 + 55*u**3 in the form c*u**2 + m + i*u**3 + x*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + 154\/(-21))\/(41\/(-2460))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2842 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3296 at least as big as -0.55572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -2*u**2 - 5\/3*u**4 - 1\/2*u**5 + 0*u**6 - 5\/2*u**3 + 0 + 1\/42*u**7 - 9*u. Find c such that i(c) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 2)\/(1*-2). Suppose 68 = -7*i - 23. Let u(q) = -11*q - 10. Let g(b) = -5*b - 5. Let w(c) = i*g(c) + 6*u(c). Calculate w(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27036975*u**3 + 17995089*u**2.\nAnswer: 162221850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -44. Let w = -27 - i. Solve -3*q + 0*f - 2*f = -7, w = -4*q + 5*f - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -43, -4, 2\/7, 27, 2 in ascending order.\nAnswer: -43, -4, -0.4, 2\/7, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -15. Let d be (-1*(p + -1) - 19) + 4. Let j = -14 - d. What is the highest common divisor of j and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 19 = 3*k, -4*k + 3 = 7. Solve 5*b - 4*h + 0*h = -g, -5 = b + 2*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234464 = 0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -5 - 1\/4*j**4 + 0*j**3 - 1\/2*j**2 + 0*j. Find the second derivative of c(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -4, 11 in decreasing order.\nAnswer: 11, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -214030658 < -214030658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 68.8 + 180.6\nAnswer: 249.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 951, 956, 961, 966?\n\"Answer: 5*g + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -56*d + 241. Let s be f(4). Solve -s*z + 4*z = 39 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m - 1960 = -197*m - 14*m + 2040 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1826 + -571?\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -776, -1164, -1552, -1940, -2328?\nAnswer: -2716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:26 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + i = -4*i + 33, g = -3*i + 15. Suppose 0 = -g*m + 2*m + 4. Suppose -2*u + 53 = m. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/6 - 3*w**2 - 87*w + 1. Calculate b(18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42201, 84352, 126503, 168654, 210805?\nAnswer: 252956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j + 2 + 40 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-224)*-8*1\/((-51)\/(-2584))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*k**3 - 1 - 749*k**3 - 463*k**3 + 352*k**3.\nAnswer: -1472*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 29*z**2 + 14*z + 15. Let k(g) = 12*g**2 + 6*g + 8. Give 5*k(r) - 2*l(r).\nAnswer: 2*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2541) - sqrt(2541))\/((sqrt(98)\/sqrt(7))\/sqrt(2)))**2 - (1*4*(sqrt(27)\/sqrt(144) - 3*sqrt(48)))**2.\nAnswer: -5175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -866898*w. Let f(d) = -2*d**2. Give f(m(a)).\nAnswer: -1503024284808*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -x - b + 108, 4*x = 3*b + 356. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:12 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -22*w**2 + 181*w - 12. Calculate x(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7 + 13 - 4*b + 3 - 17 + 53*b. Let l(g) = -344*g - 43. Give 6*l(j) + 43*t(j).\nAnswer: 43*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(112))*1)**2 + 0.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595 is divided by 80?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21708.98 micrometers in millimeters?\nAnswer: 21.70898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1547, -2864, -4191, -5528, -6875?\n\"Answer: -5*l**2 - 1302*l - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -57 times -96\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2746*1\nAnswer: -2746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 16*y + 23. What is q(16)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaahahahhhahaha. What is prob of sequence ahha?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/49 in 1, -1, 0.06, -5.06, 3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 4*s - 6. Let a be j(-3). Is -25 + a - 1*(-288 + 1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*t - 122 = 118. Suppose 0 = -f + 6*f - 20. Solve -3*n = f*m - 2*n + 11, 4*n = t*m + 19 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 5166\/(-90))\/(2\/1630) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2*z + 18, 165*f + z - 6 = 166*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6828224?\nAnswer: 2, 13, 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 9*z - 3. Let m(k) = -k + 1. Let i(v) = 5*v - 2. Let n(r) = -i(r) - 3*m(r). Let s be n(-5). Is p(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -251563, -251459, -251355, -251251, -251147, -251043?\n\"Answer: 104*o - 251667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 0*s + 6. Suppose s*g = -2*c - 14, 6*c - 2*c + 19 = -g. Which is greater: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102 + 205 - 105 - 21*v - 3*v + v + 5*v + (-6 + 2 + 2)*(v - 1 + 1) - 4*v - 3*v + 5*v + (0*v + v + 0*v)*(1 + 3 - 6) + v + 3*v + v.\nAnswer: -19*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 56.4. Let c = 0.673 + n. Let s = c - 0.073045. Round s to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72.6882 to the nearest integer.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 5*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*-8*13\/(-780)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n - 1)*(0*n + n + n) - 2*n**2 + 0*n**2 - 9*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 209\/4. Let q(r) = 2*r**2 + 1. Let m be q(1). Which is the nearest to -0.2? (a) 5 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let l be 32\/2 - (-4)\/(-16)*0. Find the third derivative of -10*o**4 + 2*o**f + l*o**4 - 6*o**2 wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2) - sqrt(2))**2 + -2 - sqrt(2)) + -2.\nAnswer: -3 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3254 - 3244. Solve -11*x = -u*x - 2*y - 9, 0 = 5*x - 2*y - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.3, 17, 67, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p - 4 = 0. Let k = p - -4. Let g = -117 + 352\/3. Which is the second biggest value? (a) g (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4984515*m**2 + 893037*m wrt m?\nAnswer: 9969030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:45 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -20*n**3 + n**2 + n - 2. Let w be i(-2). Suppose -5*k = 20 - w. Suppose 2*v - k = v. Calculate the highest common divisor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*12\/(-20)*420\/(-63).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 30, -18, -62, -96?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73526 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4201 - -1.4201032337. What is x rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 18 = u, 14*u - 36*u = -14*u + c - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 4387462?\nAnswer: 4387460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31032688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) 0 (c) 0.004535\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -21*n**4 + 6*n**2 + 8*n**3 - 18*n + 5*n**2 + 20*n = 0.\nAnswer: -1\/3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -106.2 - -127. Let u = v + -20.81. Let p = 5 - 4. Are u and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 25, 81, 189, 367, 633, 1005?\nAnswer: 1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 5. Suppose -3*u + 7 = -125. Calculate the greatest common factor of c and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3689379 is divided by 1346?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 6*k + 12. What is c(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 1. Let h be t(5). Let w(y) = -y**3 + 5*y**2 + 9*y - 13. Suppose -2*v + 24 = 2*v. Let n be w(v). Sort -2, n, h.\nAnswer: -2, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2927*r = 73987 - 17396 - 9475 + 69964 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 10*c**2 + 5. Let z be l(10). Find the second derivative of 15*v**2 + 24*v**2 - 56*v**2 - z*v wrt v.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*m - 27, 3*g - 4*m = -2*g + 72. What is the remainder when 46 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111212111022 (base 3) to base 7.\nAnswer: 60655310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 47\/4 of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249394, -498791, -748188, -997585?\nAnswer: -1246982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = 1. Suppose -g*f + 40 = -f. Suppose 2*i - 2*r - 30 = 0, 3*i + 0*r = -2*r + 40. Calculate the remainder when f is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622970119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 1876512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5248861\/4082442 + -1\/583206. Let -6\/7*t + 3\/7*t**2 - n = 0. What is t?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.73 * 37954.1\nAnswer: 65660.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-432)\/(-192) + 4706\/(-104)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*d + 115*d - 23738. Calculate the remainder when 160 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 2*i + i)*(1521*i - 251*i**3 - 757*i - 762*i) in the form z*i + q*i**2 + w + v*i**3 + n*i**4 and give n.\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*w + 5*w**3 - 18*w)*(2*w - 2*w - 6*w - w) to f + p*w**3 + z*w + o*w**2 + u*w**4 and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1368*u + 4. Let m(v) = -1357*v + 5. Determine 4*m(n) - 5*q(n).\nAnswer: 1412*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1.1, 0, -2, -17, -4, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 3*g + 2*v = -1, 17 = -g - h*v - 4*v. Let y = -89\/115 - -4\/23. What is the smallest value in y, 0.4, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaattta. What is prob of sequence tt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 498680.80107 + -498705.5. Let g = 24.7 + b. What is g rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 0. Let m be 16\/(-12) - g\/(-3). Is ((-49)\/(-14))\/(m\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*u - 28 = 0, 3*u = v + 252 - 256 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 0 - 28. Find the common denominator of l\/1 + -7*(-98)\/(-168) and 139\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/63 and -37\/2466.\nAnswer: 17262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbpe when four letters picked without replacement from {b: 2, p: 2, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -27*b**5 + 345*b**4 + 159*b**3 - 981*b**2 - 924*b - 156 = 0.\nAnswer: -1, -2\/9, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -261*k. Let p(o) = 137*o. What is i(p(g))?\nAnswer: -35757*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 7. Suppose d = -4*f - f. Solve f = -4*a - 12 - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 39 = -9. Suppose -4*l = -w*l + 4. Suppose -2*u = -l*u + 4. Solve u*z + 0 = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57040689 less than -2?\nAnswer: 57040687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**4*r - 75120*p*r + 52893*r wrt p.\nAnswer: -4*p**3*r - 75120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 97.21405 hours?\nAnswer: 349970580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 25. Suppose q*b - 23 - 57 = 0. Suppose b = -4*f + 40. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55810.63ml in litres?\nAnswer: 55.81063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.018 - 0.348. Let y = t + 0.11. Which is smaller: y or 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 3*i**2 - 4*i + 2. Let k be d(-2). Let v be (-4 - 25\/(-4))\/k. What is the closest to 2\/9 in -2\/3, v, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -31. Suppose 2*s + 4*u - 22 = 0, x - 33 = -3*s - 4*u. Let o be 0*(s\/2)\/(1\/(-2)). Solve -i = -o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15154*i**3*s**2 - 2*i**3*s - 2*i**3 + 17*s**2 - 27*s - 401 wrt s?\nAnswer: -30308*i**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 628557533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4 and -83\/158175?\nAnswer: 632700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 + 3*g**4 - 2*g**3 - 5 + 5 - 4*g to the form b*g**3 + x*g + z*g**2 + o*g**4 + p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1161ac4d - -2?\nAnswer: -1161ac4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 493 - 78 + 131 + 58)*(6 + 2 - 3) to n + a*j and give n.\nAnswer: 3020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86141 and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) 2 (c) -14 (d) 0.07 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*w - 3 + 5 - 2 in the form k + a*w and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 23*i - 27. Calculate the remainder when f(8) is divided by 2 - (1*-2 - 14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/786 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n - a - 14514 = 41*n, -3*n + 43494 = 5*a. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a0 (base 13) to base 14.\nAnswer: ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -690468, -690364, -690260, -690156, -690052, -689948?\nAnswer: -689844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, s: 1, r: 2, p: 1, u: 1, j: 2}. Give prob of picking 1 p and 2 j.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -42 (c) -3 (d) 1\/5 (e) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 + 4 - 4 + 5*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3233 - 3235. Let f(n) = -2*n**2 - 2*n - 3. Determine f(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 7 - 18*w - 7*w.\nAnswer: -20*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22282 is divided by 202?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3908 divided by -6\nAnswer: -1954\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - t**3 + 2*t + 0*t)*(-776 - 4743 + 1630) to the form b*t + d + j*t**3 + p*t**2 and give j.\nAnswer: 3889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*m**4 + 35*m**3 - 10982*m**2?\nAnswer: -2664*m + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*r + 3, o - 5*r - 33 = 0. Calculate the remainder when 35 is divided by ((-6)\/(-7))\/(4\/o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/3 + 4)*10\/(640\/264).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oojz when four letters picked without replacement from lljoojpojjpolloppozl?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y**(-15)*y)\/y*y*y**(7\/5) assuming y is positive.\nAnswer: y**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 6192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 25.1. Let l = t - 4.9. Let s = -0.1 + -0.9. What is the nearest to s in -2, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -660623 (base 11) to base 8\nAnswer: -4014267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s = -18*s + 5. Let b be s*2*(-3)\/6. Solve -7 = -m - 3*y, -2*y - 1 = -m + b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 32. Let c be o(4). Suppose 4*i - c = 0, -5*k + 3*i = -1 - 22. Solve -k*b = -2*b + 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (10 + -12 + -57)) + 3 + -9?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1185*c = 2*j - 1181*c - 2, 5*j = 2*c + 53 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.43052481 - 0.045001.\nAnswer: -0.47552581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**3 - 11*w**3 - 7*w**3)*(2 - 2 - 2)*(-13 - 96 - 44) + 3*w**3 + 2*w**3 - 3*w**3 to k*w**3 + r*w + c*w**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 less than -364208.499051?\nAnswer: -364208.459051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/410256 and -15\/30128?\nAnswer: 110358864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17172 divided by 8586?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1474\/44 + (-2)\/4. Suppose -34*l + w = -33*l. Suppose -6*u = -l - 21. Calculate the lowest common multiple of u and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*6\/12)\/(5\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667231.\nAnswer: 43, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46270 (base 9) to base 8\nAnswer: -74173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1827493, 3654989, 5482489, 7309993, 9137501, 10965013?\n\"Answer: 2*t**2 + 1827490*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1058174*k**2 + 245363*k?\nAnswer: 2116348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 40. Let f(d) = 3*d - 61. What is -7*c(x) + 5*f(x)?\nAnswer: x - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + c**2 + c**2. Let v be (-76)\/(-16) - (-2)\/8. Let f(r) = 0*r + v*r - 3*r. Give b(f(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 4*p - p**2 + p + 6*p + (4*p - 3*p + 0*p)*(-6*p - 3*p + 2*p).\nAnswer: -8*p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -2456?\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1285936 and 70\/537.\nAnswer: 3857808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8577 less than -8778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*n - 54*n - 35*n = -1647 - 5421 for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2130 - 22330?\nAnswer: -20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/114 and 25\/38.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 6:14 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -144001402 (base 5) in base 16?\nAnswer: -baf9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/(1\/3*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 + -1 + 3. Let b be 2*((0 - c) + 2). Let r be b*244*3750\/(-3). Round r to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-four fifths of a micrometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 198781 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -815\/12 - -68. Let r(z) be the second derivative of 0*z**2 + 0 + 0*z**3 + 3*z - w*z**4 + 1\/10*z**5. What is the third derivative of r(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o**3 + 14*o**2 + 9*o - 1. Let f(s) = 5*s**3 + 5*s**2 + 3*s. Let k(n) = 6*a(n) - 17*f(n). Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11710.\nAnswer: 2, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3*(-1032855)\/(-74) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -839 - -2829. Round v to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.5792 - -895.2?\nAnswer: 885.6208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 1\/4 (b) -8\/5 (c) -5\/17 (d) 3\/4 (e) 1.44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 143, 410, 929, 1784, 3059, 4838?\nAnswer: 7205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 6 = -5*m. Suppose -m*t + 122 = -t - 4*x, 0 = -3*x - 9. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3997881 and 59\/18?\nAnswer: 7995762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 - 143*b**2 + 84*b - 457. What is the thousands digit of f(-76)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h - 2. Let b(r) = r**2 + 4 - 7*r + 3 - 8*r + 2*r. Let i be b(12). Let g(x) = -4*x + 1 + 2 + 0*x + 3*x. Give i*z(u) - 4*g(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-6))\/((-14718)\/14049)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/3 + 0\/(10 + -4). Solve 6*m - 2 + 8 = d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:05 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 32 - 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155 or 147?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - 4 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 + ((-58 - 8) + 57 - (-11 + (0 - -2)))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301221 + -1212?\nAnswer: 1300003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**6\/6 - 6*y**5\/5 + 37*y**2\/2 - 24. Find the second derivative of a(b) wrt b.\nAnswer: -20*b**3 - 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/35 - (-2)\/(-7). Let z(s) = -6*s - 3. Let n be z(-1). What is the closest to 1 in 2, n, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/416 and 12600\/112*(50\/24 + -2)?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o + 24. What is f(-13)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64\/7 in 4, 1\/2, 5, -0.04?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*y + 50 + 454 = -96*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + sqrt(119) + -1*sqrt(119) + sqrt(119))*-4)\/(4*(sqrt(7)*2 - sqrt(7))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 5. Let r(z) = z**3 + 2*z**2 - z. Let s(f) = -2*f + 32. Let w = -13 + 29. Let d be s(w). Let v be r(d). What is y(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1012)\/920)\/(22\/4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/7, 20, -0.2, 5.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35352*d*n**3*t**3 - 9*d*n**2*t**3 - d*n**2 + 17*t**3 wrt n.\nAnswer: -212112*d*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3356*r + 90752 + 197864 for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 4*c**2 - 4*c + 7. Let k be w(3). Let u be 2\/k*-10 - -1. Calculate the remainder when 66 is divided by (-165)\/(-9) - u\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 11*f - 7. Let b(q) = 9*q - 1. Let t be b(-1). Let a be j(t). Suppose -a - 11 = -2*o. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + w - 1. Suppose -2*g = 6, -s + 3*g + 6 = -5. Suppose -102 = 19*b - 26. Let n = s + b. What is d(n)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.3699400631 + 2.\nAnswer: -21.3699400631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, -7, -1, 2.\nAnswer: -7, -3, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137396447 + -16413.\nAnswer: 137380034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 217393*i**2*m**2 - 8*i*m + 181*m**2 + 32 wrt i.\nAnswer: 434786*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 149952 = 4*r - 3*r. List the prime factors of r.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 123*j - 7. Calculate b(-41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -53. Let d = -11 - n. Suppose 3*f - 6 = -s, -7*s + 12 = -d*s + 3*f. Solve s*p - p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15969b8 (base 12) to base 5\nAnswer: 2113203242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40041572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -20, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/86475 and 48\/25.\nAnswer: 86475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*f**5*o**2 + 7*f**5 - 107*f**2*o**2 - f*o**2 + 2*f*o wrt f.\nAnswer: -3780*f**2*o**2 + 420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60\/906247 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 39*t + 300. Calculate the remainder when 39 is divided by j(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.049093?\nAnswer: 0.049093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 267 and 1309617111?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/50)\/((-1)\/(-6)) + (-592)\/(-144).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42001200 + 3?\nAnswer: -42001153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 479, 1021, 1681, 2519, 3595, 4969, 6701, 8851?\n\"Answer: 10*u**3 - u**2 + 475*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -264 - -266. Suppose -39 = -5*o + s*v + 2*v, 0 = -5*o + v + 36. What is the least common multiple of o and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1450 (base 7) to base 15.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -43442545 greater than or equal to -43442547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 58300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 10:09 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.04, -1\/2, 2\/375, -0.3, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265174 a multiple of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1 + sqrt(252))*5 - sqrt(252) - 6*-1*sqrt(252)) + (1 + -1*sqrt(252) - sqrt(252)) + (sqrt(252) + 1)*-5)**2 + 3)*2.\nAnswer: -648*sqrt(7) + 4704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4120)\/(-100) - (8 - -30).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 244 = 233 + 153. Sort q, 3, 20.\nAnswer: 3, 20, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 + 2*c**2 + 4*c - 7. Give m(2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = 5*t. Let y be (0\/4)\/(t - 0). Suppose 0 = -r + 4*d + 116, y*r + 447 = 4*r + d. Calculate the highest common factor of 28 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9684 + -0.53.\nAnswer: -9684.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3169\/133 - -169\/114. Let k = 59\/3 - i. What is the common denominator of k and -79\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -106017 and -96386 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2831*l + 39575. Determine c(14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (34\/(-3) + 3)*1200. What is c rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -245\nAnswer: -980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -424051 and -0.39.\nAnswer: 165379.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let s = 384\/7 + -324\/35. Let l = s - 46. Which is smaller: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 4. Let t be z(-3). Is (t\/(-4))\/(7\/(-14)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8731 + 8733. What is the remainder when 1459 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/28 - (-3 - 3 - -13)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*p**4 - 4*p**4 - 6*p**4 + p**2 - 1 - 2*p - 2*p**3 to the form z*p + y*p**3 + s + b*p**4 + g*p**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -3.1. Which is the closest to -0.1? (a) m (b) 9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 3*a + 2*l + 1251 - 1256, 0 = 2*a - 4*l - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:37 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let d(n) = 10*n**2 - n + 2. Let c(t) = -t**2 - 2*t + 2. Let a(j) = -c(j) + d(j). What is l(a(m))?\nAnswer: -121*m**4 - 22*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*w**3 - 186*w**2?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -385, -310, -149, 128, 551, 1150?\n\"Answer: 5*j**3 + 13*j**2 + j - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**6*v))\/((v*v**(7\/4)\/v*v)\/v)*(v**(-2\/23)*v)\/(v**18\/v) assuming v is positive.\nAnswer: v**(-2193\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*a - 30, 3*p + 3*a - 23 = 5*p. Let b(m) = -3*m + 26. Let w be b(7). What is the closest to 0.1 in w, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 8*d**2 + 6*d - 18. Let l be m(-9). Let q be 0 + (-2)\/l - 1622\/(-9). Suppose 4*o = 8*o - q. Solve o - 15 = 2*t + 5*s, 0 = 4*s - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47925539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 141 = 55. What is the remainder when 55 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21026203 is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b)*(290*b**4 - 165*b**4 + 995*b**4 + (0*b - b - b)*(b**3 + 2*b**3 - 2*b**3)).\nAnswer: -2236*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456853655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:12 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470085?\nAnswer: 3, 5, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -108724*b**5 + 40640*b**4 + 354528*b**3 - 311048*b**2 + 24532*b + 72 = 0?\nAnswer: -2, -1\/353, 1\/11, 1, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -3*x + 362. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4796 (base 11) to base 14.\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17 + 14)*(-7)\/(21\/10) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k - 17. What are the prime factors of k\/(-5) + (-16)\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 2, -3, -5 in decreasing order.\nAnswer: 2, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1137\/9)\/((-2)\/78). Let n = 12427 + l. Round n to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/8)*s**(-18))\/(s\/s**(7\/2))**45 assuming s is positive.\nAnswer: s**(761\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*w = 955 - 902 + 1520 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2965.\nAnswer: 1\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - c**2)*(-10 - 20 - 58) in the form x*c**2 + n*c + u and give x.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + u + 5*z - 1 = 6, -4*z + 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 17*h + 12*h = 25*h - 17, 226*h + 678 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1516+1015\nAnswer: 1015.1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -77.67 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -438\/17 in descending order.\nAnswer: 3, -2, -438\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73160000 rounded to the nearest 1000000?\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2284367.646 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7 - 3*h - 3*h**2 - 1 + 4*h + 13*h**3 - 45*h**4 + 44*h**4 to n*h**2 + z + b*h**3 + t*h + q*h**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:45 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*b - 3*b. Let s(t) = 2 + 186*t - 3*t**2 - 96*t + 2*t**2 - 89*t. Determine s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1201 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (19 - 12) - (0 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7471 - -7468. Sort x, 4, 26, 2, -1 in descending order.\nAnswer: 26, 4, 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**2 - 4*a**2 + 5*a**2 + (-3*a + 2*a + 0*a)*(-2*a - a + 5*a))*(-3*a**2 - a**2 + 0*a**2).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 197 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.32 and -0.69918.\nAnswer: -0.37918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 203. Let v be ((-2)\/6)\/(8\/72). Let g = v - -3. Is u(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/12*-2*-16. Let p = -8 + 5. Let a be (-19)\/p - (-2)\/3. Calculate the highest common divisor of v and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-10)*20\/2. Suppose -5*o + d*i = -195, -i + 25 = -6*i. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 12*x - 3. What is g(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4706 - 5237.2. Let f = 37.2 + h. Let l = -407.2 - f. Round l to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7*f**2 + f. Let l be d(-1). Suppose -q + 18 + l = 0. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 232 - 232 - 6*t**2. Let c(u) be the third derivative of u**5\/60 - 2*u**3\/3 - 5*u**2. Let v(x) be the first derivative of c(x). Calculate v(l(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -2) + (-3 - -6). Let f(g) = 3*g - 3. Determine f(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - 0.35. Let m = -29.1 + -9.9. Let b = m - -38. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**2\/8 - 237*x\/2 - 6489\/8 = 0 for x.\nAnswer: -309, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((1 + sqrt(1584))*-4 + -3 + (sqrt(1584) + 0 - sqrt(1584)) + -2 + 4))**2.\nAnswer: 12000*sqrt(11) + 634225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Suppose d = 2*g - 3*g + 117. What is the highest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 7:58 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/147319896 or 1?\nAnswer: 1\/147319896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 8. Which is greater: c or -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 48*a. Let w(m) = -6*m - 34. Determine y(w(k)).\nAnswer: -288*k - 1632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + p**2 + p + 26. Let i be 9\/6*80\/6. Suppose -i = -4*x - c + 32, -2*x = 5*c - 8. What is the remainder when o(0) is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q + 56. Let j be c(10). Let a(z) = 2*z. Determine a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1126817 - -10.52.\nAnswer: 1126827.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678421 is divided by 6784?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8*v - 2*s - 82, -65 = -3*v - 2*s. Calculate the remainder when 72 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + i = 8, -2*o + 16 = -10*i + 12*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-35) + (-120)\/(-300)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.946 and -2478?\nAnswer: 22168.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3020582 (base 10) to base 8.\nAnswer: -13413446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -449728 (base 10) to base 7\nAnswer: -3552106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12)\/(g**(-6)\/g))\/(((g**(-9\/2)\/g)\/g)\/g**7) assuming g is positive.\nAnswer: g**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -320.1 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1579, -1623, -1775, -2089, -2619, -3419?\n\"Answer: -9*a**3 + 19*a - 1589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -88*l**3 + 15*l**2. Let b be v(-20). Round b to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 7*b**2 - 7*b + 8. Determine v(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 24 = 11*g - 3*h, -26 = 2*g - 5*h. Let u = 301 + -306. Which is the nearest to 1\/5? (a) -0.3 (b) -0.4 (c) g (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)\/(k**(6\/11)*k)*(k\/k**9)\/k**(-6\/11) assuming k is positive.\nAnswer: k**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 60 = 9*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -255 + 917. Suppose -j = -5*a - f - 172, 2*a + 2528 = 3*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**4\/8 - 2*t**3\/3 + 5*t**2. What is the units digit of v(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 4:15 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - -6.2. Which is smaller: o or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4103*o + 20519. Give a(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 116177\/36 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-240))\/(10\/40).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 2660.\nAnswer: -3\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4242*r + 8*r**2 - 3 + 4240*r + 5. Let t(u) = -105*u**2 + 27*u - 27. Give 27*d(f) + 2*t(f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 + 0*g**2 + g**2 + (g - 3*g + 0*g)*(g - 3*g + 3*g) + 278 - 278 + 23*g**2 - 2*g + 0*g - 7*g**2 + 10*g**2 to the form i*g + h*g**2 + o and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 + 23 = v, -v = -2*b + 7. Suppose 2*r + 68 = 2*c, -5*c - 2*r - v*r = -130. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 - 635*l**3 - 10335*l**2 - 44325*l - 57510 = 0 for l.\nAnswer: -9, -3, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - 11*c - 6. Let o(h) = -4*h**2 - 12*h - 8. What is 2*o(y) - 3*z(y)?\nAnswer: 4*y**2 + 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33046962 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-16.56.\nAnswer: -49.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of -8*(-91)\/156*18\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 127 - 135. Let j = 20 + -15. Put -2, i, j in decreasing order.\nAnswer: j, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/23))\/y*y)\/y**(-2\/5))**(1\/6) assuming y is positive.\nAnswer: y**(151\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 0.4, -0.02, 1\/12?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (10 + 3) - -19. Let m(u) = -2*u**2 - u. Let v(c) = -4*c**2 - c - 1. Calculate p*v(w) - 5*m(w).\nAnswer: 2*w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 + 1.3806.\nAnswer: 1.2706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from grrorocozoorgooogoro?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - 5*(sqrt(91) + sqrt(91)*-1))\/(sqrt(2401)\/sqrt(7) + sqrt(7)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8\/31 - -86\/93. Let w(a) be the first derivative of 1 + 0*a + 0*a**2 + d*a**3. Let m(t) = 6*t. What is m(w(f))?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 25*i**3 + 2*i**2 - 2. Let z(m) = -275 - 117660*m + 3425*m**3 + 275*m**2 + 117660*m. Calculate 275*o(a) - 2*z(a).\nAnswer: 25*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.001 - 0.301. Which is the nearest to -0.2? (a) r (b) 0.3 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*-1)\/((8\/14)\/((-150)\/(-350)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594 by 99.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2178\/102199 or 0?\nAnswer: 2178\/102199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3053485 by 8.\nAnswer: 3053485\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w + 10. Let x be q(5). What are the prime factors of ((-106)\/(-6))\/(20\/x)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403076.561 rounded to the nearest ten thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, 4, -6.2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11212886.3 to the nearest one hundred thousand.\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(98) + sqrt(98) + 0 + sqrt(98) - sqrt(98)) + sqrt(98) + sqrt(98))*6 + sqrt(98) + (sqrt(98) - (-2*sqrt(98) + sqrt(98) + 5 - sqrt(98))))*-1)**2.\nAnswer: -1960*sqrt(2) + 76857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.133 - 15860\nAnswer: -15859.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3353 + (-3 + 3 - 3). Suppose 0 = 5*s - 15*s + b. Does 52 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 1\/3 (b) 5 (c) -352\/3 (d) -2\/7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3)*12\/(-88). Suppose 4*b - 3*n = -4*n - 11, 3*n + 13 = -2*b. Let q be (b\/4)\/(5\/(-10)). Is r smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 8*b - 10. Determine p(-7).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 131, 141, 157, 179, 207, 241, 281?\n\"Answer: 3*z**2 + z + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 803, 0.1, -1, 4, 1\/6 in decreasing order.\nAnswer: 803, 4, 1\/6, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*p + 42 = 0, -5*p + 26 = v - 10*p. Suppose -2*o + 8 = -o. Calculate the highest common divisor of o and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*m*w**2 + 3*c**3*m*w - 4*c**3 - 5*c**2*m*w**2 - 26*c**2*w**2 + c*m*w**2 wrt c?\nAnswer: -12*m*w**2 + 18*m*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1982*q + 1979*q + 3*s + 24, 3*s + 18 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 + 5*t + 4*t**4 + 0*t**4 wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/9 - ((-28)\/12 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -103? (a) -2.3 (b) 2\/3 (c) 18 (d) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 183. Let j be y(31). Let d(b) = b**3 - 3*b**2 + 2*b + 1. Let p be d(4). Put -2, j, p in ascending order.\nAnswer: -2, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 577392 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11295.577203 - -401.\nAnswer: -10894.577203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - 2. List the prime factors of 240\/(-50)*f\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (-3 - -9) - (-1 - -2). Suppose -18 = -7*u - 4. Solve -u*b + 1 + 3 = f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 134, 0.5, -4, 27.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3662315 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 12.6749 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.1 in 7, -4, 2\/5, -0.205, 1?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-9 + 32) - 30096\/(-2280)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m - 1\/3*m**3 + 0 + 1\/2*m**2 + 1\/12*m**4. Is 5 a factor of k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*(-80)\/(-80)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:52 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -7 + 0*a**2 - 5*a - 2\/3*a**3. Differentiate y(b) wrt b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - m**2 - m - 1. Let j be o(0). Suppose -4*c + 0*c = 64. Let n be 4\/(-14) - c\/7. Put n, j, 5 in descending order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15921.\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -6482.\nAnswer: -3\/6482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 6\/7 (c) 2671 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-56) - (-138)\/16. Let t = k + 31. Calculate the highest common divisor of t and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -q, -46*q = s - 51*q + 16 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-5)\/15 - (-1 - 2). Suppose 77 = o*s - 73. Let j = s + 4. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -80\/191, -0.12, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y + 7. Let p be g(6). Factor p - 2 - 2*w**2 - w**2 + 3*w + 0*w**3 + w**3.\nAnswer: (w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/7245852 and 64\/1811463.\nAnswer: 7245852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/22 and ((-292)\/96 + 3)\/(6\/424).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**2 + 9*p - 10. Let x be f(5). Suppose -l + 0*l + x = 0. Suppose l = 5*m - 90. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 divided by 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 82*v.\nAnswer: -82*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/2 + (-10)\/15 - -5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*s = -180, -t - t - 2*s = -112. Let k = t - -35. Suppose 0 = -5*x + 117 + k. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 4*z**2 + 2*z + 3. Determine l(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1261 + -1255. Let s(m) be the third derivative of 4\/3*m**4 - 23*m**2 + 0*m - 1\/6*m**5 - 7\/60*m**n - 4\/3*m**3 + 0. What is d in s(d) = 0?\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148.4 - -18.6. Let z = -167 + n. What is the closest to 3\/7 in 8, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 24621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)**32\/(c*c**0*c*c**6*c)*c*c*c**(-1\/4)*c*c*c**(-5\/4)*c*c*c*(c\/(c\/c**(-1\/3)))\/(c\/(c\/(c\/(c\/(c\/(c*(c*c*c*c**(-1))\/c)))))*c) assuming c is positive.\nAnswer: c**(-215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 292*c. Let d(p) = -p**2. Calculate d(a(t)).\nAnswer: -85264*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31049*t - 31565*t - 31992 = 0 for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 2:37 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43028934?\nAnswer: 2, 3, 13, 551653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -3\/7 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -226*i + 933*i - 8484 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b - 2. Let i(p) = 4*p**3 - 4*p**2 + 11*p - 14. Let s(c) = -i(c) + 5*m(c). Determine s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9443 - 9443.3. What is the closest to 28 in 1, 0.3, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*x + 8315, 3*r + 16942 = 5*x + 6582. Does 83 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n + 3*k - 3, 0 = n - 5*k - 7. Suppose 1 = 3*u - 8. Let t(d) = 23 - 17 + 2*d - 6*d - d**u + 6*d**n. Calculate t(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60336, 60337, 60338?\nAnswer: 60339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22715834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(57) + (sqrt(684)*3)\/sqrt(12)))\/(1*sqrt(300) + (sqrt(12)\/sqrt(36) - sqrt(3))).\nAnswer: -3*sqrt(19)\/7 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 553 = -563. Let b(k) = 10*k + 1. What is b(n)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m**3 - 2*m)*(-3*m**2 + 6*m**2 - 5*m**2) + 2*m**2 - 2*m**2 + m**5 + 52*m**5 - 7*m**5 + 16*m**5 + m**2 + 3*m**5 - m**2.\nAnswer: 69*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 17952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - y)*(37 + 26*y + 29*y + 7*y**2 - 57*y).\nAnswer: 14*y**3 - 4*y**2 + 74*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 9*d**2 + d - 11*d**2 + d**4 + 0 + 3*d**3 + d**4 to j*d**3 + w + z*d**2 + m*d**4 + t*d and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 12*s + 2. Let m be w(9). Suppose 9*n + m = 10*n. Let x = n + -7. Calculate the highest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -5\/2, 23?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.381 (b) 4 (c) 0.05 (d) 0.4 (e) 5 (f) -3\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 239*j**2 - 3536*j - 1509. Determine g(253).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -32. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*i**3 - 8*i**3 + 1 - 226*i**2 + 14*i**3 + 303*i**2 + (-2*i**3 + 3*i - 3*i)*(0 - 4 + 3) to t + h*i + l*i**2 + z*i**3 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5952.075ml in litres?\nAnswer: 5.952075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 359, 1499, 2667, 3863, 5087?\n\"Answer: 14*n**2 + 1098*n - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = 0, 4*d + 20 = 3*l - 3. Let z(t) = 4*t - 1. Give z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -105217\/9 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*m - 43824, -2*m - 4*g + 17514 = -0*g. Suppose 0 = -139*d + 136*d + m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1 = 16. What is the highest common divisor of 150 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:27 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 4*i**2 + 5*i - 20. Let n be m(4). Which is the nearest to 4? (a) 2\/9 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9682432392 - 0.5?\nAnswer: -9682432392.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:48 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/40 + p**4\/2 + 13*p**3\/12 - 92*p. Solve x(t) = 0.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(11) + sqrt(22)\/sqrt(2) + sqrt(11)))**2 + ((-2*sqrt(50))\/sqrt(10))**2.\nAnswer: 185\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 0 = -4*w. Calculate the greatest common divisor of 6 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 165 = 3*w. Let i be (-3)\/(w\/(-24) - -1). Suppose -i = -5*x + 12. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*g, -4*p = -2*g - 25 + 15. Solve h + 7 = -2*c - 0*h, -5*c + 2*h - 22 = p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4106.369cm?\nAnswer: 41.06369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 4) + (4 - (8 + -1 + -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-42) - (-2)\/(-7). Let t = -4 + 5. Let j be 4\/(120\/26) - (-10)\/(-15). Put t, j, d in increasing order.\nAnswer: j, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (sqrt(175) - (sqrt(175) + 1 + sqrt(175) + sqrt(175))))*4 - (2*(sqrt(567) + -3) + 2 + sqrt(567) + 0))**2.\nAnswer: 1608*sqrt(7) + 31567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = o - 76, 0 = 2*g + o + 2 - 38. Let u be -2 - (10 - g)\/(-3 - -1). Let v(h) = h**3 + 7*h**2 - 1. What is v(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - c + 1. Let y be g(3). Solve y + 3 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1112 - 62 = -2*c. Let y = c - 582. Solve 0 = -5*r + y + 15 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -128, 8, -0.04, 2\/23?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c - 185. Let s be v(17). Let p(o) = -224*o**2 + 80*o**s + 75*o**2 + 78*o**2. Let b(r) be the first derivative of -r**3 - 1. Calculate b(p(x)).\nAnswer: -243*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19145, 38249, 57353, 76457, 95561?\nAnswer: 114665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1700 by -1.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1852800?\nAnswer: 1852802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from fffffeefffeepfefff?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 1\/2 (c) -0.37 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(2\/(-44)). Let v(s) = s + 16. Let c be v(w). What is the third derivative of 9*q**c - q**2 - 4*q**5 - 2*q**5 wrt q?\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 264842 divided by 132421\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 24 + 84. Suppose 0 = -b - 0*b + g. What is the remainder when 44 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -8, -3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.528498ng?\nAnswer: 0.000000003528498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168045209.\nAnswer: 168045209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 27711495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*i**2 + 4 - 6*i**2 - 102*i + 94*i.\nAnswer: 4*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3195*r**2 - 1062*r**2 - 1066*r**2 - 1063*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 23637*l + 97683*l - 1.\nAnswer: 121320*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*j - 10 + 19 = -223 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18354 and 1376382.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 - 6*s - 9. Let q(z) = -2*z**2 + 2*z + 3. Let y(f) = 6*b(f) + 17*q(f). What is the smallest common multiple of -4 - (2 - 10) - -3 and y(-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - -1)*30\/(-9). What is the second derivative of 4*o**3 + 9*o - u*o - 2*o**3 wrt o?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041133 is divided by 478?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 16 = 16*y. Let q = 19.3 - 19. Which is the closest to 4? (a) q (b) y (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33e45 (base 16) in base 11?\nAnswer: 135767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 86184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((6 - (-988)\/(-39)) + 14)\/((-1)\/6) is divided by 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(2 + 16355\/(-8180)). Let l = -311 - p. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/7250 and -3\/45475.\nAnswer: 13187750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21511021319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2 + d + 7 + 2 + 2*d**3 - 7*d in the form b + a*d**3 + z*d + x*d**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*u - 2*u - 2 + 2 + 2*u + u - 2*u + 4*u - 5*u + 0*u + (0 - 3 + 4)*(-2*u - 1 + 1) + 0*u - u - u + 2*u - 3*u - u + (-2 - 4 + 1)*(3*u - u + 0*u).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 - (-3 - -4)) + 3. Let z be (3\/((-12)\/40))\/(k\/5). Let v(r) = -r**2 + 31*r + 49. Does 35 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3208301*l**5*v - 21*l**2*v + 63*l*v - 227337*l - v wrt l.\nAnswer: 64166020*l**3*v - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-73*2261\/(-34748)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 3, i: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((5 + -3 - 2) + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -14. Let t(c) = -c**3 + 4*c**2 + 12*c - 6. Let b be t(h). Let z = b - -49. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 e when three letters picked without replacement from uyyyueuyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2*(0 - (-4 + 0)). Let w be (-6)\/m + 2\/(16\/414). Suppose -5*p - w = s - 5*s, -2*s = -3*p - 27. Calculate the lowest common multiple of s and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, w: 2, b: 4, n: 1}. What is prob of picking 2 w?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 + 60847 + 2*h - 9*h**3 - 60847)*(h + h + h) + h**5 + 3*h - 3*h.\nAnswer: 16*h**5 - 27*h**4 + 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from eeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*n + 238*n = -5104 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 827990 less than -113.22561?\nAnswer: -828103.22561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -59. Let k(y) = 4*y - 96 + 63 + 0*y. Let n be k(m). Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8868 - -8867.5. Let i = 0.3 + 0. Let l = i - 1.3. Which is the closest to l? (a) n (b) 0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13071)\/(-9) + 8\/12. Let p = n + 19. Does 64 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 27*o**3 - o**2 + 3*o - 4. Determine u(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -17*f**2 + 1977*f + 4032. What is r(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99475752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 36*i**2 + 41*i - 26*i - 12*i**4 - 17909 + 3*i**3 + 17903 = 0.\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-2052)*553527\/234\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277602 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23040695 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + -3. Let q be 14\/(-63) - 20\/d. Let r be q*(-2 - (-15)\/9). Which is the nearest to r? (a) -0.4 (b) 1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-124 + 4062135\/32760)*-16?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 121*z + 2993. Let b be p(-27). Which is smaller: b or -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 4*(sqrt(5) - (sqrt(5) + 2*sqrt(5))) + sqrt(5) + (sqrt(25)\/sqrt(5) + 5)**2 + 0.\nAnswer: 4*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90.1*0.11.\nAnswer: 9.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 - 12.6. Round g to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 619155.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6789359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1766757482?\nAnswer: 2, 7, 2141, 58943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7263 and 266041?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 7. Let u = 1 - z. Which is the biggest value? (a) u (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -1*(sqrt(114) - (sqrt(114) + (sqrt(114) - (sqrt(114) + 1*sqrt(114)))) - sqrt(114)))\/sqrt(6))**2 + sqrt(2299)*-2 + 5.\nAnswer: -22*sqrt(19) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 17\/((-68)\/(-46936))?\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/3 + 119*w\/3 + 686 = 0. What is w?\nAnswer: -98, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*-12*(-3)\/66?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17))**2*-5 - (sqrt(272) + 0)**2 - (-6*sqrt(187)*-5 - sqrt(187))\/sqrt(11).\nAnswer: -377 - 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/5 + 99*d\/5 + 242 = 0 for d.\nAnswer: -11, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/6 - 83*s**4\/6 + 245*s**3 + 8035*s**2\/3 - 233791*s\/6 + 72111\/2 = 0.\nAnswer: -13, 1, 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 41*f + 3*f + 58*f)*(2*f**2 + 1 - 1).\nAnswer: 8*f**4 + 204*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53741 and 2257?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 4106*o\/11 + 1309820\/11.\nAnswer: 2*(o - 1658)*(o - 395)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 195 = 237 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8)*o*o*o**7)\/(o**(-8)*o\/(o\/o**2)) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163052 is divided by 2523.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -0.5, 0, 0.02, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 8*v + 7. Suppose 0 = 6*l + 3*l - 18. Suppose -i = -l*i + 56. Suppose i = r - 9*r. What is u(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -z - z. Let g = z + 15. Suppose -46 = g*o - 666. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2171 + 2172. Let z = -938\/13 - -72. Which is the smallest value? (a) l (b) z (c) 4\/7 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 (base 16) in base 6?\nAnswer: 14403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**2\/2 - n + 490. Let w(u) = 4*u - 1. Give 3*a(x) - w(x).\nAnswer: -7*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u + 375 = -27*u. Let q = 433 + u. What is the highest common factor of 77 and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -277158733\/390 + 710663. Find the common denominator of -33\/130 and q.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.11 + 188.11. Let f = l + -187.2. Which is the nearest to -1? (a) -3\/13 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/40 + 61*v**5\/60 - 5*v**4\/6 + 16*v**3\/3 - 121*v**2. Let u be s(20). What is the highest common factor of u and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 8*i - 4. Let w be x(-7). Suppose 74 = w*d - 142. Suppose 0*o - d = -5*h + 3*o, 62 = 4*h + 2*o. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8 = 4*h, -5*f - 1 + 9 = -4*h. Solve f = -3*a - u + 6, 3*a + 2 = 2*a + u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 14*d**4 - 358*d**3 + 3000*d**2 - 8600*d + 4000 = 0.\nAnswer: 4\/7, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 0, 41*n - 46*n + 5*g + 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-12))\/((-5)\/45). Solve 18 = l + 4*l - 2*u, -l + x*u = -14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u + 7. Let c be x(3). Let b(o) = o + 6. Give b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t. Suppose 4*b - 7*b = t. Suppose -5*d + 15 + 0 = b. Solve d*s = 5*w + 5, 0*w = 5*w - 2*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*w - 5. Let s(p) = w*p - 5*p + 2 + 1 + 0. Calculate s(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6998\/26 - 18\/117) + -3. Calculate the highest common divisor of r and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/8)*i\/((i\/i**(1\/5)*i*i)\/i*i*i))\/(i\/(i*i**3)*i**(2\/3)\/i)*((i*(i**(-4)*i)\/i*i)\/(i**(-1\/4)\/i*i))\/(i**(-2\/3)\/i)**6 assuming i is positive.\nAnswer: i**(1159\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/368 and (-2378)\/123 - 3*5\/(-3)*1?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -36\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 18*h + 528. What are the prime factors of z(0)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5601*t**3 + 1164*t**3 - 4061*t**3.\nAnswer: -8498*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1523*b + 20698 - 1763 = -6956 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.58229 milliseconds to seconds.\nAnswer: 0.02658229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5959?\nAnswer: 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 157659?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 431, 1929, 5871, 13439, 25815?\nAnswer: 44181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 1) + -2 + 294\/57. Let q = 28\/57 - l. Factor -w + q*w**2 + 0.\nAnswer: w*(w - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -422 - -448. Suppose -43*r - 9*r - 32 + 10 - x - 4*r**2 = 0. Calculate r.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3 - 4*g + 0*g)*(0 + 2 + 0 - g).\nAnswer: 2*g**2 - g - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -678287.4 to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7903 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, 2, 1, 3, 0, 37 in descending order.\nAnswer: 150, 37, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1320\/(-792))\/(2 + 15\/(-9)). Let t(x) = 7*x**2 + 7*x + 17. Calculate t(p).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14677842?\nAnswer: 2, 3, 19, 199, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -143.75.\nAnswer: 158.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16740, -66921, -150558, -267657, -418224?\n\"Answer: -d**3 - 16722*d**2 - 8*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 3*j + 31 = 5*c, 0 = -5*j - 5*c - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -49*b**3 - 13*b**2 + 7*b + 13. Let a(g) = -8*g**3 - 2*g**2 + g + 2. Let q(i) = -39*a(i) + 6*s(i). What is the second derivative of q(j) wrt j?\nAnswer: 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/16 + (-585)\/360?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 13*x**7\/105 + 29*x**4\/6 + 5*x**2\/2 - 5. Let f(b) be the second derivative of m(b). Find the second derivative of f(k) wrt k.\nAnswer: 312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5794046 divided by 7.\nAnswer: 5794046\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -m**3\/3 + 2*m**2 + 166*m + 4945. What is v(-12)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**4 - 50*y**3 + 25*y**2 + 98*y + 42. Let n(f) = f**4 + 97*f**3 - 49*f**2 - 197*f - 85. Let x(q) = -11*m(q) - 6*n(q). Let x(v) = 0. What is v?\nAnswer: -1, -3\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 8*p**2 + 4*p - 5. Let g be l(-7). Let z(f) = -f**3 + 13*f**2 - 3*f + 51. Let m be z(13). Let u = g - m. Solve -2*d = -4*d + u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 2) + 21 - 3 - (4 - (-3 + 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.46 and -221431.62181.\nAnswer: -221414.16181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/4, -1.41, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 29*q - 50, -4438*x - 2*q - 8 = -4437*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6013 and 2445465985.\nAnswer: 2445471998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) -2 (b) 2 (c) -6 (d) -2\/18579 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1197, 1244, 1223, 1140, 1001, 812, 579, 308?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.25965\nAnswer: 1.0386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/1*(29\/2)\/(-29)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 6*z + 3. Let n be l(-6). Suppose 15*v = 10*v - 30. What is the remainder when 18 is divided by (20\/v)\/((-1)\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - n = 78. Let c(j) = j**2 - j - 6. What is the remainder when n is divided by c(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25015173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818*s - 1718*s - 34200 = 0 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 21 = -8. What is the second derivative of -14*h - o*h**2 + 8*h - 3*h**2 wrt h?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197, -298, -371, -404, -385, -302, -143?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 22, 3 in decreasing order.\nAnswer: 22, 3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/(-84) - (-563)\/(-280) and -1\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -878\/11. Put m, -4, -445 in increasing order.\nAnswer: -445, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, 3\/4, 25?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112333 (base 5) in base 7?\nAnswer: 14635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2. Let w be (-1 + 1)\/(20\/10). Let p be 4 + (w - (2 + -3)). Let c(m) = 6 - p + m - 1. What is c(b(h))?\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 568196 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 q = -4*q + 1620. Let b = q - 194. Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 122*i - 1. Let n(u) = u**2. Give n(a(y)).\nAnswer: 14884*y**2 - 244*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 16. Let z be (-1)\/(((-3)\/(-9))\/o). Suppose -3*k - 60 = -2*l + k, -z*l = -2*k - 82. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (11 + -2)) + 19\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 507 = -5*y + y, f = -3*y + 374. What is the smallest common multiple of 8 and (-4)\/8 + y\/6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -230, -328, -408, -464?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6283 = -u - 4*u, -5*u = -4*r - 6311. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 27*c - 32*c + 24, -3*j = 2*c - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*f - 57. Let g = f - -354. What is the remainder when g is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) + 73\/4. Suppose -b + 4*z - 5 = 0, -35*z + 39*z - 17 = -3*b. Solve -4*l = -l + 3*s + p, 0 = 5*l + b*s + 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/4)\/(u**(1\/7)\/u)*(u*u**2*u*u*u)**(5\/6) assuming u is positive.\nAnswer: u**(171\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2382 (c) -5.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 8*z - 7. Let x be u(6). Find the third derivative of 0*w**5 - 40*w**6 + 7*w**2 + 0*w**x + 37*w**6 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0.04, 1\/2, -2\/15 in decreasing order.\nAnswer: 3, 2, 1\/2, 0.04, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6 = 2*y + 5, 5 = 5*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, 2, 4, -7043, 0 in descending order.\nAnswer: 252, 4, 2, 0, -7043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.84 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(1134\/28))\/((-2)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -1.3, 0.95, 3\/26?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5240 at least -120486\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 e when three letters picked without replacement from {m: 6, e: 9, f: 3, j: 1}.\nAnswer: 54\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -407\/6, 3364, 0.2?\nAnswer: -407\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1921 + -1038. List the prime factors of n.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11598.\nAnswer: 2, 3, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316 - 14?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(((-4)\/(-56))\/(-1)). What is the common denominator of 653\/84 + (-20)\/(-140) and m\/(-5)*(-15)\/(-27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049135 to 6 decimal places.\nAnswer: -0.000491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 357 and -2066 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*x - 4324*x - 20*x**3 - 4576*x + 21*x**3.\nAnswer: x**3 - 9367*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3041990 and -90.\nAnswer: -273779100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/64 + -69\/320. Sort b, 2\/5, -0.5, 95.\nAnswer: -0.5, b, 2\/5, 95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3557433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 44\/33*(45\/(-6))\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 5. Let q be h(-4). Let t be (-2)\/(-4)*(5 - q). What is the greatest common factor of t and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*a**4 - 11*a**4 + 59*a**4 - 1246*a**2 + 2647*a**5 wrt a?\nAnswer: 158820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/4 (b) 35.2 (c) 2 (d) -2\/11 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.07 (b) -0.3 (c) -30 (d) 0.4 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 12. Give c(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*h*u**2 + 38208704*f**2*h - 10*f*h*u**2 - 2*f*h*u + f*h + 3001*h - 2*u**2 + 73 wrt f?\nAnswer: 2*h*u**2 + 76417408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b\/(b*b**(2\/3)*b)*b))\/b)**(-23)\/(b*b**(-1\/8)*b**3) assuming b is positive.\nAnswer: b**(-461\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - b**2 - b + 2. Let d be v(-2). Let i(o) = 2*o**2 - o - 6. What are the prime factors of i(d)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163972 a multiple of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -971001 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipi when three letters picked without replacement from ppii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046625 rounded to 5 decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1003184294\nAnswer: 1003184293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -49.\nAnswer: -20\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011378354 rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/45 and -52\/35.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325211196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202221000 - 1201021?\nAnswer: 2201012202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (-4 + (0 - 0) - -9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.7467 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 15) in base 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*s + 804. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 6:02 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11314, 11315, 11316?\n\"Answer: y + 11313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/6460*19*1240\/((-12)\/3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -3 (c) 413 (d) -44\/3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 1 + 6. Suppose -2*o - 120 = -128. Let i(a) = p - o*a - 4 + 3. Let h(j) = 2*j**2. Determine h(i(x)).\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11206 divided by 42.\nAnswer: 5603\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45684648.\nAnswer: 2, 3, 70501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p*((p\/p**(2\/21)*p)\/p)\/p*(p*p**(-3\/4)*p)**(5\/3))**(-1\/50) assuming p is positive.\nAnswer: p**(-1007\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 3327806 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkks when four letters picked without replacement from tftbssbfbsftfkkasbfs.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21213 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3 + -2*(sqrt(200)*1*4*-5 + -3 + sqrt(200) + 1 + 2))**2.\nAnswer: 13680*sqrt(2) + 1732854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s = 13*s + 146564. Suppose 27*y - s = 2275. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + 7*b**2 - 5*b - 5. Let z(k) = -k**3 + k**2 - k - 1. Suppose -u = -12 + 7. Let q(y) = u*z(y) - x(y). Find the third derivative of q(j) wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**3 + 2*m**3 + 3*m**3 + (-7 + 0 + 5)*(-9*m**2 + 5*m**3 + 9*m**2) to the form f + w*m + s*m**2 + v*m**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6621885 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 110\/(-3) - 4\/(-6). Let y = 57 + i. What is the greatest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21)*14\/24 - 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 154 - 154.4. What is the nearest to -29 in n, 2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, 10, -113?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 - 8404*k**4 + 575280*k**3 - 6926224*k**2 - 110717104*k + 244671360 = 0.\nAnswer: -8472, -10, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 480*q**3 + 33667*q**2 - 34146*q.\nAnswer: -q*(q - 542)*(q - 1)*(q + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/16 - 1) + (-12)\/(-8). Let n = -1549108\/13 - -119332. Let c = n + -170. What is the second smallest value in u, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 375 divide 15750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-14 + 26 - (2 - -3) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1021?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 9 = 0, j - 11 = 2*p - 2*j. Let c be 20\/p*1*-1. Solve 7 = b - c*v + 3*v, -v + 19 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5452547 and 0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14.1 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-5 - -2 - -6). Suppose -7*f + 49 = -2*f + 2*h, 0 = x*h - 10. Calculate the lowest common multiple of ((-2)\/(-3))\/(1\/12) and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 5637 - 5548 = -11485 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 6:03 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14\/3 - -1613\/345. Let l = i + -14\/23. Let w be ((-8)\/(-30))\/((-2)\/(-6)). What is the biggest value in l, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 147 + 35?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 0 - 2*147. Suppose -673 - 173 = -2*d. Let j = d + u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198.03 - 198. What is the second biggest value in i, -6, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5564 + -0.4564. Which is the closest to h? (a) -1\/34 (b) -1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 11. Suppose -2*j + s*j = 195000. Round j to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 4*f = -29*d + 13, -8 = -4*d - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1076223\/16 or 67264?\nAnswer: 67264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (24\/144)\/(2\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7023 + -6990. Solve -61*b - 28 = -w*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1\/4, -20\/167, -68396?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157779, -316308, -474837, -633366, -791895?\nAnswer: -950424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*h**3 + 157308*h - 253663770 with respect to h.\nAnswer: -513*h**2 + 157308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6113, -24411, -54901, -97583, -152457?\nAnswer: -219523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - 20\/6. Let n = 18994 - 19000. What is the remainder when 60 is divided by 92\/10*(9\/n - a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -144. Let v = -34 + k. Let f = v + -28.00076. Round f to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = c - 2*d, 3*c - 3*d - 8 = -5*d. Let v(p) = 6*p - 5*p + 6 + p - p. Let f be v(c). Solve 2*o - 2 = -x + 7, -2*o + f = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 6 (b) 10 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m + 12*m - 168 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-12)\/80 + (-2031)\/5076. Let v = -6\/47 + r. Which is the nearest to 0? (a) v (b) -0.5 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85031\/5900 - 904\/59. Calculate the common denominator of a and (4\/42)\/((-2360)\/10738).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1. Let v(x) be the second derivative of x**5\/20 + x**4\/3 + 3*x**3\/2 + 5*x**2\/2 + 3*x. Let k(w) = -5*a(w) + v(w). Let k(o) = 0. Calculate o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.59 + -12.6. Which is the third smallest value? (a) -0.2 (b) -2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71 + 803?\nAnswer: 806.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((32\/(8064\/140))\/(-5))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 8*p - 18. Let a be l(-10). Let v be (a - 1 - 0) + 9. What is the remainder when 33 is divided by 310\/25 - 4\/v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 18. Let z be 18*-2*3\/(-18). What is the units digit of b(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 103*j**2 - 2*j + 1. Suppose d + 16 = 2*s + 4*d, s = d - 2. Is r(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 1686534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 + 894*t + 4419. Let g be k(-5). What is the closest to g in -0.02, 4, -0.04, 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 9*w**2 + 4551*w + 22709. Determine h(-5).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2, -1\/4, 0.24 in descending order.\nAnswer: 2, 1\/2, 0.24, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 21 = 2*n. Suppose n = 3*o - o - c, -4 = -2*o - 2*c. Find the second derivative of 3*p**o + 4*p**5 - 5*p - 3*p**3 wrt p.\nAnswer: 80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5225 + -5025. Calculate the highest common divisor of 60 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36829*p - 36829*p + 112*p**3 + 73658*p.\nAnswer: 112*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2397 - -0.0797. Let p = -0.543 - -0.099. Let z = p - q. Round z to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55779448.12+-0.071687\nAnswer: -55779448.191687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1107, 2, 0 in increasing order.\nAnswer: 0, 2, 1107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3059 to two dps.\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 + (13 - 6). Suppose -2*n - 460 = -4*z, -2*n = 3*z - a*z + 345. Calculate the greatest common factor of z and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6157 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 6268056?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110001 (base 2) in base 15?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 59*w + 19*w - 2*w**2 - 51*w + 18*w - 23*w in the form b*w + d + h*w**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -81. Suppose -5*f - 2*c + m = -0*f, -5*f + 3*c = -64. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by -38\nAnswer: -53\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 134 - 550 = -70*n. Solve 5*q = -u - 21, n + 7 = 5*u + q for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.145 - 2.855. Sort 35, 0.5, v, 0.2.\nAnswer: v, 0.2, 0.5, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -2\/7 (b) -24\/13 (c) 2\/1269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**3 + 0*u**2 + 20*u**3 + 0*u**2.\nAnswer: 38*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -12119 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 61 = c, 3*p - 43*c + 44*c = 51. Let l(u) = -u**3 + 14*u**2 + 31*u + 18. What is l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(192)*-1)\/(-2*sqrt(196)).\nAnswer: -6*sqrt(3)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 58695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - 11a453?\nAnswer: -11a44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Let x(z) = -g + 0*z + 2 + 0*z + z. Let o(k) = -4*k - 3. Give -2*o(d) - 7*x(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 - 217. Let b be (136\/g + 7)*2. Sort b, 0, -7, 2.\nAnswer: -7, b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*j - 80, 3*z - 2*j + 48 = -j. Let o = z - -30. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 306035, 306108, 306161, 306182, 306159, 306080, 305933, 305706?\nAnswer: 305387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/8)\/y)**(1\/27)*y**(-1\/3)*y\/(y\/y**16))**10 assuming y is positive.\nAnswer: y**(625\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13708*w - 1 + 10334*w - 1 + 1.\nAnswer: 24042*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59690 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2574 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -3 - (-4 + 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16629 is divided by 124?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(6\/72*3). Let c(y) = -y**3 - 5*y**2 + 4. Determine c(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-17 + 8)) + 23*1. Let p(r) = -3 + 81*r - x*r + 17 - 56*r. Let y(a) = -a**2. Determine y(p(l)).\nAnswer: -4*l**2 + 56*l - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1136 - -1214. Calculate the highest common divisor of v and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 630 + 7059. Is 80 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 15590826?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and 2\/11227 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**4\/96 - 9*m**3\/16 + 30*m + 9. Find j, given that w(j) = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1443.76 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6390 + -6390. Solve -3*v - 122 + 104 = x for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.94 - -0.74. Let n = -2\/61 + 250\/183. Which is the closest to 0.1? (a) 38 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 11:39 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1520, 1551, 1582, 1613?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -339001 + 339022.9997. Let d = -22 + j. What is d rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 - 2*w - 6. Let o(g) = 14*g**2 - 6*g - 16. Let c(j) = -11*k(j) + 4*o(j). Calculate c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuuwxwxxxufxfffnfnx. Give prob of picking 3 f.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010100000011 - -10000?\nAnswer: -10010010011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -0.119, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvv. Give prob of picking 4 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -451015.172.\nAnswer: -451023.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*v**4 + 2*v + 5573*v**2 - 5575*v**2 - 87*v**4 - 4*v**3 to the form j*v + q + h*v**3 + z*v**4 + r*v**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4892\/57 - 29\/57. Let s = -1297\/15 - u. Which is the third biggest value? (a) 3\/8 (b) s (c) -133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/((-5)\/(90\/12)). Let b be 3*(-2)\/((-6)\/((-4)\/4)). What is the second biggest value in 1, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -137*l*o*u + l + 457*o*u wrt l.\nAnswer: -137*o*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-42) + (-792)\/(-56). Suppose -g - 6 = -2*d, -l - 1 = -3*d. Suppose -3*p + 32 = -7*p - 4*w, 5 = -w. Put 0, 3, p, g in descending order.\nAnswer: g, 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 61 - 134. Solve -5*m = -5*h - b, 1 = 5*h - 2*m + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-18)*(81\/6 + -9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -476, -954, -1432, -1910, -2388, -2866?\n\"Answer: -478*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.046\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 72 = -64 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:49 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-7))\/(44\/462). Let l be (1\/2)\/((-10)\/(-4060)*29). Solve -5*w - 17 + l = -3*b, -3*w = -b + h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 2. Let m be p(-5). Suppose 5 = d + 2*k, -k + m = 3*d + 2*k. Let x be (4\/(-6))\/((-20)\/24). Which is the smallest value? (a) d (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*g - 32 = 0, 2*s + g - 17 = -26. Is -1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 - m + 5. Let n(b) be the third derivative of -b**5\/10 + b**4\/24 - 2*b**3\/3 - 2*b**2 - 6. Determine -5*n(i) - 4*v(i).\nAnswer: 10*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 6*i + 6. Suppose t + 2 + 5 = 0. Let x = t - -3. Give n(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141962821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 0. Let c = -0.5 - 0. Let r = -42.5 + 43.5. What is the second biggest value in x, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31160935 divided by 510835?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32993877 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163599817449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 13 + (0 - 21) - -22.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p\/(p**(15\/7)\/p)*p**(2\/9)*p)\/(p**(-2\/13))**1)**47 assuming p is positive.\nAnswer: p**(162949\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23468962*d**3 + 92953324*d**2.\nAnswer: 140813772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -42*h. Let x(w) = -w. Calculate x(g(m)).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.34 + -19.34. Which is the nearest to 0.08? (a) -1 (b) 0.2 (c) l (d) -8\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 92.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-15) + 3624942\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -49898?\nAnswer: 19959.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 4*j**2 - 4. Let y be x(3). Let f = y + -13. Solve g + f = 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + (-1 - (-2 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-914)\/(-7) - (-75)\/175. Let c = 135 - j. Solve 20 = -c*g + 2*r, -4*r - 18 = 5*g - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1775\/(-28400))\/(-2 + (-19)\/(-12))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42023553 by 140547.\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8 - -39755 - ((13 - 4)*-1)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -5765772.\nAnswer: -5\/2882886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 3*x**2 + 6*x + 6. Let l be u(4). Calculate the greatest common divisor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(1800\/(-625)))\/(1\/(-2) - -1)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 13*j**2 + 15*j + 11. Let v(m) = -m**3 - 7*m**2 - 7*m + 9. Let t be v(-4). Let n(k) = 2*k**3 - 7*k**2 - 8*k - 6. What is t*n(z) - 6*b(z)?\nAnswer: 2*z**3 - z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1516435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-40)\/(-18)*6\/(-68). Let r = 2746\/561 - z. Calculate the common denominator of r and 19\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37392c (base 16) to base 10\nAnswer: 3619116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60 + 55*l**2 + 76 + 53 + 70 + 53*l**2 wrt l?\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + i = -8*n - 1983, 5*n = -4*i - 3312. What is the tens digit of n\/2*(-15)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s - 30. Let f(l) = 8*l - 29. Let p(y) = -6*f(y) + 5*m(y). What is p(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 22 = -20. Suppose 2*u + 4*f - 150 = 0, -70 = -u - 5*f + r. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.678185651 rounded to three dps?\nAnswer: -0.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8098593 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(x) = -2*x - 1. Let m(i) = -10*i - 864. Calculate m(c) - 6*w(c).\nAnswer: 2*c - 858","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35402334 - -33?\nAnswer: -35402301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 319*b**3*c**2 - 2*b**3 - 3*b*c**2 - 2*c**2 + 4819*c wrt c.\nAnswer: 638*b**3 - 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 + r**4\/8 + r**3\/3 + 3*r**2. Let k be f(2). Put k, 1, -4 in increasing order.\nAnswer: -4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/123 and -61\/115728.\nAnswer: 4744848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**5\/80 + f**4\/48 - 17*f**3\/24 + 15*f**2\/8 - 4*f - 24. Factor s(i).\nAnswer: (i - 3)*(i - 1)*(i + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8\/5 of a tonne?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 36. Suppose -413 = -s - 4*s - 2*z, 0 = -4*s + q*z + 335. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + 1 + -6*6*(-1 + sqrt(700))*-6)**2.\nAnswer: -950400*sqrt(7) + 32707596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31811093 - 0.28188895. Let r = 0.6 + w. Round r to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + w - 108 + 545 = 0, -a = -3*w - 123. What is the derivative of 10 + a*l - 43 - 146*l wrt l?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, s: 7}. Give prob of sequence sggg.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -132017368 divided by -8\nAnswer: 16502171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2*s + 2*s + (-14 + 7 + 16)*(3*s - s + 3*s).\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:52 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13075 - 13534. Which is smaller: m or -463?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2 - 2)*(-13898*l + 27270*l - 13915*l) + 3*l - 3*l - l**2 + 2*l**2 - l + l to g + o*l + n*l**2 and give n.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 5:16 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*f - 894, 0 = -4*f - 9*m + 5*m - 1212. Round f to the nearest 10.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2565 + -12827\/5. Sort -2\/9, 1, z, -3\/10, 13 in decreasing order.\nAnswer: 13, 1, -2\/9, -3\/10, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 107994*o = -107990*o + 22, 0 = -5*s - 3*o + 18 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1179?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*u + 103, 35*u - 15*u - 370 + 461 = -3*w + 16*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 192*h**5\/7 + 18096*h**4\/7 - 70869*h**3\/7 - 29787*h**2\/7 + 48402*h\/7 - 1512 = 0. Calculate h.\nAnswer: -98, -1, 3\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 8*f + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + -55?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -20*u - 7. Let t(a) = -21*a - 7. Calculate 5*d(c) - 6*t(c).\nAnswer: 26*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-3\/11))\/(z**(11\/4)\/z))**(-5\/3))**(-11\/6) assuming z is positive.\nAnswer: z**(-35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 1 + 213*g**2 - 157*g**2.\nAnswer: 56*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 7*k**2 + 10*k - 12. Let a be l(8). Suppose 0*s + a*s = 0. Suppose s = 3*p + p. Solve p*r + 12 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10418063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yw when two letters picked without replacement from {q: 2, b: 1, r: 3, y: 3, a: 5, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b - 6*b + 16*b + 6 - 50.\nAnswer: -2*b - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(4 - (-39)\/(-10)). Suppose a + l*b = -2 + 24, 4*b = -5*a + 131. What is the greatest common factor of 36 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260507.\nAnswer: 17, 132971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65524 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (76\/(-12) + 2)\/(11\/231). Is (12590\/35)\/((-26)\/i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/10 of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 264570*u**2 + 17500379457*u + 139986103688.\nAnswer: (u + 8)*(u + 132281)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 14 = -13*m - 31*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 2*i + i - 29228.\nAnswer: -2*i - 29228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16172437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -115 (b) -0.1 (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36\/7 + 398\/7*r**3 - 58\/7*r + 20\/7*r**5 - 222\/7*r**4 - 174\/7*r**2 = 0. What is r?\nAnswer: -2\/5, 1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2746595*b**3*s**3 - 367*b**3*s**2 - 8*b**3*s - 156*b**2*s**2 wrt s?\nAnswer: -16479570*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 7*r + 2189 - 1765 = -94*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 9*j + 15. What is the remainder when 11\/2 + 3\/6 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -52, -21, 44, 155, 324, 563?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012202202020020 + 1?\nAnswer: -1012202202020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - 0.37.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 459 = 6*j. Let m = j - 77. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/5))**6)**(-1))**(-4\/7) assuming f is positive.\nAnswer: f**(72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 748\/(-187) - 2*13?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - (-45)\/6)*-2. Let p = b + 21. Suppose 5*h + 51 - 281 = p. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + (-3*sqrt(432) + sqrt(432))*-5 + ((sqrt(432) + sqrt(432) + -1)*-3 - (sqrt(432) + -3 + 5*sqrt(432) + sqrt(432))))**2.\nAnswer: -504*sqrt(3) + 3937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -871*z - 7816. Let a be t(-9). Solve -9*y + a*y = 84 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4100*v**4 - 4*v**3 + 12*v - 1717. Let n(d) = 4099*d**4 + 5*d**3 - 15*d + 1717. Let m(a) = 5*h(a) + 4*n(a). Find the first derivative of m(u) wrt u.\nAnswer: -16416*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 10*d**2 - 10*d - 4. Give u(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.3855445?\nAnswer: -1.542178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 706254112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 21*a**2 - 115*a - 181. Determine j(-14).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 7*y + 4. Let k = 25 + -20. Give t(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(128) + -2*-1*sqrt(128) - (sqrt(128) - (sqrt(128) - (1*sqrt(128) + sqrt(128) - sqrt(128))) - sqrt(128))*-5)\/(sqrt(192)\/sqrt(3))))**2.\nAnswer: 648*sqrt(2) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.692413kg to tonnes.\nAnswer: 0.008692413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 516*17\/816 + (-5)\/(-4). Put c, -13, 1 in decreasing order.\nAnswer: c, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 15. Solve 8*z - 5 = x*z - 2*u, 5*z = 4*u + 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -0*g - 3*g + o, -g - 5*o + 48 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-13975671 - (-1 - -3)). Suppose 84527022 = -2*v - v. Let j = v - k. What is j rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228 + 248. Calculate the greatest common factor of d and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 5. Let b be u(0). Solve -5*d - b = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002059548252 to six dps.\nAnswer: 0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbxxbxbbbxbbb. Give prob of picking 3 x.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-30) - 4*(-12)\/15. Suppose 2*w + n*w - 15286 = -j, 5*w - j = 15284. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*4\/(-8) + 212. Suppose -5*q = -j + b, -2*j - 3*q + 418 = -2*q. Suppose -3*p = -j + 8. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. Let j = i + 3. Let b = -5.2 + j. What is the nearest to 0 in -4, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -2.5403?\nAnswer: -6.5403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52495930*a**3*f - 471207*a*f - 527*a wrt a.\nAnswer: -314975580*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 263*x + 1379. Let n be q(-6). Which is smaller: -202 or n?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5432 + 0.4601. What is v rounded to three dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70289953 times 0.3?\nAnswer: -21086985.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1406*q - 2068. Let b(w) = 2*w. Calculate b(g(f)).\nAnswer: 2812*f - 4136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 - 2*u**2 - 1 + 1112*u**4 - 1113*u**4 + 7*u - 9*u to o*u**4 + b*u + i + a*u**2 + c*u**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 + -114. Which is the nearest to -0.01? (a) 0.2 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/21 + 824*n\/21 - 27474\/7 = 0.\nAnswer: 171, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9)\/((-10)\/(-15))*4. Put n, -2, 1 in decreasing order.\nAnswer: 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - (sqrt(95) + 1*sqrt(95)*4)))\/(sqrt(245) - (sqrt(245)*-1 + sqrt(245))))**2 + 1.\nAnswer: 220\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -309017\/24 + 12873. Find the common denominator of 53\/120 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 685684683 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from yyjy.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = m. Solve m*p + 11 = -2*p + 5*a, -3*p - 17 = 5*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19392 + -40?\nAnswer: -19432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k. Let t(p) = p**2 - 5*p. Suppose -3*q + 2*q - 5 = 0. Let u(d) = 6*d. Let v(z) = q*u(z) - 6*t(z). Calculate m(v(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 60 (b) -0.0489 (c) -2\/9 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:54 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/32)\/9*(-3)\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 6:15 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17640*q + 17158*q + 54948 for q.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**5\/150 + r**4\/60 + 2*r**3\/15 - 34*r**2 - 145. Let b(w) be the second derivative of m(w). Factor b(k).\nAnswer: -2*(k - 2)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1343 - 84*u + 1343 + 0*u - 4*u + 3*u + (-4*u + 2*u + 3*u)*(-1 + 0 - 1) - 4 + 2 - u + 0.\nAnswer: -88*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (0 - (4 + 0)) - (-26 + 42)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80904548*f**2 - 161809098*f**2 + 80904556*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 1:37 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 3*p**2 - p - 4. Let z be l(4). Let k(m) = m**2 - 14*m + 6. Let s be k(z). Suppose -20*i - 26*i - 1886 = 0. Which is greater: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k**(-3)*(((k\/k**(-2\/7))\/k)\/k)**2)\/((k\/((k*k*(k**(-6)*k)\/k)\/k))\/k*k*k*((k\/(k\/(k*k**3)))\/k)\/k)**(-8\/13) assuming k is positive.\nAnswer: k**(192\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2061851 to the nearest 1000.\nAnswer: 2062000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/((-22)\/(-11)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 + 21 = -3*s, -4*j + 28 = -4*s. Let x(w) = w - 4. Let p(y) = -2*y + 8. Let h(q) = -6*p(q) - 11*x(q). Determine h(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/274 and 61\/8.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*m + 5, -4*m + m + 58 = 4*a. Let u be 6\/(-10) + a\/5. Solve -4*n + 6 = u*q + 14, 3*n - 3*q - 3 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6604863 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 30. Suppose 0*h = -q*h + 20. Solve -h*x - 31 = -11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 21*l = k + 410, -l = 0. Let x = -2048\/5 - k. Let x*n**2 + 4\/5*n + 0 = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*x + 1663, -2*o + 851 - 169 = -5*x. Let i = 112 - o. Is (-12)\/9*i + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + -3*sqrt(136)\/sqrt(4) + sqrt(34))\/(sqrt(6)\/sqrt(3)*-5).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3 + 2*b**2 + 3*b - 9*b + 11*b. Let c be p(-3). Suppose -2*v + c*l - 3*l + 63 = 0, 102 = 3*v + 2*l. Calculate the remainder when 106 is divided by v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-9)\/(-12)*8\/(-6). Suppose -p - 4 = 6*m. Which is the nearest to -2? (a) 2 (b) m (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from tmcnmcncmtm?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 635239\nAnswer: -2\/37367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (85 - 83 - (-1 - (5 + 0 - 47)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -191*h - 1201. What is the thousands digit of f(-30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(441\/30)*(-387)\/(-645)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let j(u) be the first derivative of 2*u**2 + 2 + 9 - 5. Calculate q(j(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a**2 - 2*a - 8. What are the prime factors of j(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z\/(z\/z**(-29))*z)\/z)\/z**(9\/7) assuming z is positive.\nAnswer: z**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/50 + l**4\/12 + 4*l**3\/5 - 109*l**2 + 1. Factor q(o).\nAnswer: -2*(o - 3)*(3*o + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176204 to the power of 1\/2, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 16 + 9 = 0. Suppose d*j - 2 - 6 = -2*y, 0 = -y + 4*j + 30. Calculate the lowest common multiple of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 69*g - 3240. Calculate the remainder when u(56) is divided by 308.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16766288 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 2:11 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1\/7 (b) -0.5 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*t = -91*t + 126. What is the remainder when 119\/4 - t\/56 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 86, 1 in ascending order.\nAnswer: 1, 2, 3, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2706 - -3049. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 + 203. Calculate the lowest common multiple of 22 and z.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 1165956*z + 1165952.\nAnswer: 4*(z - 291488)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 6 (b) 2217 (c) 2 (d) -10 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 1352283363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 94 = -2*c, 5*r = 4*r - 3*c + 36. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (192*d**3 + 166*d**3 - 483*d**3)*(5*d - 4*d - 8*d) - 3 + 5 - d + 2*d**4 - 3*d**4 to the form p*d**3 + r + k*d + y*d**2 + v*d**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -351\/3812?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/6)\/((-2)\/(32\/(-84))).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 25 = -3*p. Suppose -v + p = -0, -25 = -w - 4*v. Solve 3*f - 2 = -w*g - 0, 3*g - 4*f = 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 4*f**2 - f. Suppose 2 = -3*s + 8. Let j be (1 - s)\/(-6) + (-25)\/6. Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7571166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*c + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-46))**(-13\/5) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -22. Let l(i) = -10*i + 3. What are the prime factors of l(p)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1230547512 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 3*j**2 - 3*j**2 + (-j - 4*j + 4*j)*(3*j - j - 3*j) + j**2 + j**2 - 4*j**2 in the form v + z*j + o*j**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2064880 and 55\/54544?\nAnswer: 14454160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 8 - ((-39 - -4) + 7 + 5 + -3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9014, -18075, -27138, -36203, -45270, -54339?\n\"Answer: -m**2 - 9058*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 985 divided by 2.\nAnswer: 985\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-275)\/25 + -2 + (5 - 18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/(1815\/(-1452))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253974113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/12)\/((-120)\/(-36)). Let t = 3\/8 - -1\/8. What is the third biggest value in y, 1\/6, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.93 - 0.77. Let u = 8.642 + j. Let d = u - -0.05798896. Round d to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*k - 4*b - 7, -32 = -5*k + 3*b. Suppose -15 + k = -4*f. Suppose -f*s + 426 = -4*a - 6, -4*s = -4*a - 428. What is a rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) -1.9 (c) -13 (d) 3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*s = -370 - 6798 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 718421537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -197 - -203. Calculate the greatest common divisor of 32 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/3)\/c)\/c**(-16) assuming c is positive.\nAnswer: c**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b - 1. Let v be -1*(-2 + 1 + b). Round v to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-3)\/((-27)\/24). Let l = a - -8. Is 2\/(2\/115) + l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50021285039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 100101 (base 2) to base 9\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2\/5 - 6*o + 513\/5 = 0. Calculate o.\nAnswer: -19, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2933, 4, 0.3 in descending order.\nAnswer: 2933, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t**2 - 321*t + 42. Give n(35).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-90) + 4\/90.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.54 from 0.064.\nAnswer: -0.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15813525? (a) 5 (b) 0.1 (c) -0.4 (d) 1\/2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1077778 + -404778. Round p to the nearest 10000.\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 18*b**2 - 21*b - 27. Let u be a(-19). Solve u - 3 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 249 + -241. Suppose -147 - 258 = -3*m - 3*f, -d = -2*f. What is the lowest common multiple of 4 and m?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 12*o + 14. Let f be h(-7). Does 4 divide (-6)\/f + 1032\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -16. Let q(p) = p. Let o(u) = 1. Calculate l*q(m) + 2*o(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 17*j + 15\/2*j**2 - 1\/15*j**5 - 1\/30*j**4 + 0 + 0*j**3 - 1\/24*j**6. Let d(r) be the first derivative of s(r). Factor d(o).\nAnswer: -o*(5*o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286558243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 93958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 m when three letters picked without replacement from wwmbswmbwmmwwwd?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 17*a - 8. Let t be m(8). Let b be (-19)\/((-418)\/t) + (-4)\/(-22). Solve q = b - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12480, -24964, -37452, -49944, -62440, -74940, -87444?\n\"Answer: -2*y**2 - 12478*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 13*f + 33 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20012 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 2*q**2\/5 - 1619464*q + 1639164779560 = 0. Calculate q.\nAnswer: 2024330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1470) + (sqrt(1470) + -3*sqrt(1470) + sqrt(1470) - sqrt(1470)) - sqrt(3630)*2)\/(sqrt(72)\/(sqrt(84)\/sqrt(7)) + sqrt(6)*-1*4))**2.\nAnswer: 4205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**3\/3 + 5*t**2\/2 - t - 4. Let z be ((-3)\/(-9))\/(2\/18). Suppose 0 = -4*b + z*k + 3, k = 3*b - 6*b + 12. What is s(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*j - 23805*j**3 + 4*j**2 - 3*j**4 - 6*j**2 + 23805*j**3 + 1 to the form n*j**3 + b*j + z + v*j**4 + t*j**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 161344328 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 + 3 = 0. Suppose 0 = g*y + y - 100. Suppose -4 = -j + y. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mggmmmm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x**2 - 7*x + 9. Calculate q(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 24*(-48)\/(-126).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/3)*o)\/o)\/o**(2\/9)*(o**0)**(-4\/15)*(o\/o**(-1))**(-4\/5)\/(o\/o**(-1\/3))**(-2\/13) assuming o is positive.\nAnswer: o**(-166\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(60)\/sqrt(4))\/sqrt(5) + (1*sqrt(243) - sqrt(243))) + -1 + (sqrt(108)\/sqrt(75))\/(3*sqrt(192)))**2.\nAnswer: -241*sqrt(3)\/30 + 59281\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5251 and 11125.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 200160?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 10. Let c be s(-7). Let p = -3 + c. Suppose 0 = 5*n - p - 10. Solve -16 = 2*h + n*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/8, 1, -756, -3, 5 in descending order.\nAnswer: 5, 1, 1\/8, -2\/5, -3, -756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, v: 5, f: 4, q: 5, e: 1}. What is prob of sequence qsv?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -3. Let v be 4\/3*(-9)\/w. Suppose -v*n - 28 = -3*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(450)\/(sqrt(70)\/sqrt(7)) - (sqrt(45) - (-5 + (sqrt(45) - (sqrt(45) + sqrt(45) + 3)))))**2.\nAnswer: -654 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**5 + 4*q**5 + 6*q**4 - 5*q**4)*(2 - 2 - 3).\nAnswer: -15*q**5 - 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10) - (57\/(-15) - 0). Suppose 5*d + 536 = i, -g*i + 2*d + 2069 = 7*d. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 1 - 1 - o - 2*o - 3*o + (2*o - 6*o + 2*o)*(4 - 2 + 0) + (-4 + 2 + 1)*(-3 + 3 + o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 118*l - 185. Sort -0.5, 2\/11, 4.4, l, 1.\nAnswer: -0.5, 2\/11, 1, l, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 5*t + 2*r - 122, 7 = t - 5*r. Let a(p) = p**2 - 10*p - 20. What are the prime factors of a(t)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30789000 to the nearest one hundred thousand.\nAnswer: 30800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbku when four letters picked without replacement from kubkkknbknkknnkkk.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 d when two letters picked without replacement from rkdos.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9338.\nAnswer: 2, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2*b**2 - 19. Let v(z) = z. Let c(t) = h(t) + 2*v(t). Let g(s) = -s**2. Calculate c(g(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*f - 4*f + 5*s, 4*s = -5*f - 34. List the prime factors of (3 + 45\/f)*(2 + -60).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 3*z**2 - 4*z + 1. Let t be i(-4). Let h be t\/(-4) - (-15)\/(-20). Are h and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n**5\/n)\/n*n)\/(n\/(n\/n**7)))\/(n**5*n**(1\/8))*(n**7*n)\/n**(1\/5)*n**(3\/2)*n**6 assuming n is positive.\nAnswer: n**(367\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -89. Let w(p) = 5*p - 57. Let d(o) = -2*o + 19. Let h(q) = -8*d(q) - 3*w(q). What is the remainder when y is divided by h(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 1)\/((-5)\/(30\/12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -80802*d**2 - 589875504*d - 1076560945952.\nAnswer: -2*(201*d + 733676)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63134567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let l be (a - 0) + (-243)\/12. Let f = 18 + l. Is -1 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 7*x**2\/2 - 2*x - 4015. Let r be ((-4)\/12)\/(1\/(-15)). Let u(k) = 2*k - k + 4*k + k - 2. Give r*y(a) - 6*u(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - a + 4*a + 12 = 0, -2*a - 10 = -4*q. Let c(k) be the first derivative of 5*k**3\/3 - k**2 - 23. Let s be c(q). Solve 5*b = s + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -0.01 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.1 - 0.1. Let z = 2 + c. Let k = -0.22 + 0.02. Put k, z, 0.1 in increasing order.\nAnswer: k, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 4. Let v be n(3). Let l be (-3)\/(4 + 22\/(-4)). Suppose -5 = -l*a + v. Put -3, 1, a in ascending order.\nAnswer: -3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33905*w**3 + 35573*w**3 - 69481*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11013*k + 132281. Determine b(12).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*r - 3*c, -36*r + 34*r - 4*c = -16. Calculate the least common multiple of 120 and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1408 (base 9) to base 5\nAnswer: -13221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m - 186. Let f be p(-17). Let i = 18 - 12. Let b = -4 + i. Calculate the greatest common factor of b and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5010\/150 + 1\/(-10)*-6. Let x = -33 + f. Which is bigger: x or -5\/34?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2d?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/650*5*19\/57?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*s*z - 12*b**2*s**3 + 178773*b**2*z + 11*b*s**3*z + 4*b*s**3 - 2*b*s**2 + 2*b*s*z - 4*s**3 - 316*s**2 + 6*z wrt b.\nAnswer: 24*b*s*z - 24*s**3 + 357546*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193 + 20. Is 71 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 35 - 76 = 0. Let k be (-2)\/(-7) - h\/21. Let m(l) = -43*l + 13. Does 14 divide m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*v - 9808*v**2 - 11417*v**2 + 50*v + 4*v + v**2 - 4*v + (4*v - v - 2*v)*(-2 + 2 - 2*v) - 5*v + 2*v**2 + 5*v.\nAnswer: -21224*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - l - 4, -51*j + 5*l + 16 = -48*j. Let x(d) = 4*d**2 - 4*d + 0 + 0*d**2 + 2. Let z be x(j). Let u(s) = -s + 8. Give u(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96 - 88. Let w(t) = -x*t + t + 3 + 3*t. Let d(g) = -6*g + 4. Suppose -15 - 13 = 4*i. What is i*w(n) + 5*d(n)?\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52085\/8 - -6522. Calculate the common denominator of c and -23\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let o(h) = -2*h. Let g(k) = 6*o(k) - 13*y(k). Let z(p) be the second derivative of 0 + 1\/2*p**3 + 0*p**2 - 15*p. Give 4*g(b) - z(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.23 and 25?\nAnswer: 16.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/74 (b) 15 (c) -8 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -160b53 - 1?\nAnswer: -160b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15*h + 4. Let m(b) = -2989 + 4*b + 0*b + 2990. What is 22*m(a) - 6*q(a)?\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3024.61 - -2982. Let n = r + 42.47043. Let b = n + 0.139. Round b to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - 106. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4464*s - 112*s - 177280 = -144*s for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 54. Sort w, 2, -4, -3 in decreasing order.\nAnswer: 2, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.601 - -0.63. Let d = 7.271 + f. Let k = d + -7. What is the nearest to -1 in -3\/2, 6\/5, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -1\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.184 + -2.184. Sort -1, n, 764.\nAnswer: -1, n, 764","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.1 + 2. Let w = 4 + -7. Let q = -106 - -105. What is the nearest to 2\/5 in d, w, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -20, 2 in descending order.\nAnswer: 2, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 3*x**5\/40 - 15*x**4\/32 + x**3 - 3*x**2\/4 - 100. Factor n(y).\nAnswer: 3*y*(y - 2)**2*(y - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3361198 and 524.\nAnswer: 6722396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46042\/13587 + 5\/647. Calculate the common denominator of -19\/75 and b.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 272*y + 320. Let x(u) = -39*u - 46. Let l(g) = 3*b(g) + 20*x(g). Differentiate l(i) with respect to i.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 68 = -4*i, 3*r = 4*i - 8*i - 31 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((-7705)\/6700)\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 - -59. Suppose g*i + 2*s = -2*s + 5, 0 = 5*i - 5*s - 5. Let p(y) = 10*y - 1. Let h be p(1). What is the greatest common factor of i and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6149 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 15*g**2 + 51*g - 63.\nAnswer: -3*(g - 7)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 1. Suppose 3*v = 6*v - 135. Let p(w) = -43 + 2*w + 3*w + v. Let n(l) = 8*f(l) - 5*p(l). What is n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 242, 483, 708, 911, 1086?\n\"Answer: -d**3 - 2*d**2 + 254*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 27*q - 3 = 22*q, 16 = 3*y - 4*q. Solve -y*k + 5*j - 4 = 3*j, -12 = -4*k - 2*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + r + 2. Let i be v(0). Solve -i*d - s = -4*d + 2, 5*s + 24 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/22)*t*t\/(t\/t**(1\/12))*(t**(-3\/4))**(-1\/12))**(33\/7) assuming t is positive.\nAnswer: t**(83\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4)\/g)\/g**(2\/19)*(g\/(g*g**(2\/5)))**(28\/3))**(1\/70) assuming g is positive.\nAnswer: g**(-2519\/19950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/6437 + -212251\/547145. Let q = i - -10\/17. Let k = -0.06 - 0.44. What is the biggest value in k, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 14*j**2 - 19*j + 15. Suppose -3*z - 89 = -8*z - 3*t, -2*t + 54 = 3*z. Is p(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -4, -49, -254 in increasing order.\nAnswer: -254, -49, -4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 16*z = -16. Suppose -z = 2*v - 18. Solve 2 - v = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -28. Let i = -7 - b. Let r = i - 9.0000001. Round r to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and -439.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57)\/(-5) + 0 + (-6)\/(-10). What is the highest common divisor of j and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 321 and 24.\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57128.97 years to months.\nAnswer: 685547.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*p = 5, 2*c - 5*p = -12 + 45. Suppose 0 = -c*k + 936 + 1332. Let b = -90151\/159 + k. Is 1 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(9)\/(sqrt(3)*-2))**2*-1 + (-4 + (sqrt(12))**2)*-3 + 4.\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 47092 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5 = -i + 5*i, -3*k + 7 = 2*i. Let m(b) = -2*b + 8*b**3 - b - 17*b**3 + 2 + 9*b**3 + 4*b**3. What is the tens digit of m(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 7*v**2 + 13*v - 7. Let z be y(5). Solve 2*u - z = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144*m**2 - 349*m - 247*m - 52*m**2 + 788*m**2 + 518*m**2 wrt m?\nAnswer: 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1010 divided by -1.\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 5:20 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6913 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173712966?\nAnswer: 2, 3, 7, 4136023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 - -26. Let u = 15 + r. Which is bigger: 0.1 or u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 - 2*v**5 + (-2*v**2 - v**2 - 2*v**2)*(5*v**3 + 0*v**3 - 3*v**3).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 - 3104*y**2 + 469252*y - 3134040 = 0.\nAnswer: 7, 195, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - (-10)\/(-4))*-8. Let g be (-20)\/3*6\/o. Suppose g = 2*f + 3*f. Solve -2*d - 4 = f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-two fifths of a centimeter?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*3\/(-1 + -5). Calculate the smallest common multiple of 14 and (j\/(-2))\/(18\/12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-217*l**4 + 752*l**4 + 529*l**4)*(2 - l - 2)*(1 - 3 + 1).\nAnswer: 1064*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -7. Let o = r - 1. Is 1 not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**3 - 657*q**2 + 93*q + 61. Let n be g(-94). Sort n, -3, 5, -2, 3 in increasing order.\nAnswer: -3, -2, 3, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 22156134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 3*g - 30 + 15, -4*g - 8 = -2*i. Sort -9, i, 7\/6 in decreasing order.\nAnswer: 7\/6, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3 = 15. Suppose -3*i + i + m = 0. Suppose -i*u = 3*u - 330. List the prime factors of u.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15012 is divided by 3002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.092 + 0.592. Put x, -3\/4, 0.2 in decreasing order.\nAnswer: x, 0.2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 0.7 (c) -5 (d) 0 (e) -20 (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 0 - sqrt(2448))*-3))**2.\nAnswer: 9797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 1. Let f(z) = 39*z**2 - 4*z - 4. What is -f(d) - 4*t(d)?\nAnswer: -39*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4 - 11*a**3 + 14*a**2 + 24*a = 0.\nAnswer: -12, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6*6\/27*(-23)\/(-138)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 277*p - 6. Let b(o) = -2*o - 112. What is b(x(g))?\nAnswer: -4*g**2 + 554*g - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574295290 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1238, 5079, 11488, 20471, 32034, 46183, 62924, 82263?\n\"Answer: x**3 + 1278*x**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 26*g + 31*g + 1747 = 0, -3*z = g - 1717. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 4*k**2 - 4*k - 4. Let d(t) = -t**2 - t - 1. Let j be -13 + 2\/(-1) - -3. What is j*d(u) + 3*a(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 27 - 29, 5*f - 5*l + 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -8 - (-3 - 3)) + 11 - (24 + 6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -3*s + 0 + 0*s**3 + 0*s**5 + 1\/120*s**6 - 1\/48*s**4 + 0*s**2. Factor h(l).\nAnswer: l**2*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*j + 30, -2*l = -4*l - 2*j - 2. Suppose l*v - b - 1270 = 0, -4*b + 1579 = 5*v - b. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = -25*v + 22*v, -r - 2*v = 0. Solve -2*n = u + 17, -r*n + 4*u - 37 = 9*u for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1483554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12351*v + 41 = -5*z + 12350*v, 51 = -7*z + 5*v for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 814*z - 165649.\nAnswer: -(z - 407)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 775, 771, 765, 757, 747, 735?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 3*i**2 + 6*i + 11. Calculate c(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -2, -41.1, 2\/5?\nAnswer: -41.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1785041917 to the nearest integer?\nAnswer: 42250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 34. Let h(d) be the first derivative of -d + 4*d**o + 11*d**2 - 2 + 181*d**3 - 2*d - 206*d**3. What is s in h(s) = 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 73. Let c be (12\/126*y)\/((-2)\/28). Solve -c*d + 10 = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92798569 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvvvjvjjjjjkjvjj. What is prob of sequence jjv?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Suppose -2 = 4*l - p*l. Find the common denominator of 91\/16 and (-1 - -2)*(-83)\/l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6554 + 0.3446. Let v be (-18)\/14 - (-4)\/14. Which is the closest to v? (a) 5 (b) y (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -4*v**3\/3 - 5*v. Let l = 6 + -4. Let u(g) = 4*g + l*g + 0*g - 4*g. Calculate u(z(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 10*z**2 + 10*z + 6. Let u = 13 + -36. Let i = u - -14. Let a be g(i). Put -1, a, -5 in decreasing order.\nAnswer: -1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -277.98925 (c) -1 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-11)*-2*(-6)\/(-264). Let k = 303\/121 + x. Let g = 0.7 + -5.7. Which is the fourth biggest value? (a) k (b) 4 (c) g (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(4\/3)\/2. Let c(w) = -20*w + 30*w + 10 - 12*w. Let q be c(5). Solve q = -y*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. What is the remainder when (33\/2)\/(s\/8) is divided by (6\/7)\/((-1)\/(-14))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 24*r**2 - 4*r + 36. Calculate v(24).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/297?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/6 - f**3 - 949*f**2. Calculate d(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {m: 3, s: 1, p: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*o = 55, -401 = -4*g - 2*o - 151. Let f = 8898 + -8314. What is the remainder when f is divided by g?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5*(sqrt(1008)*-2)\/(-2*sqrt(1296)))**2 + 5).\nAnswer: 440\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190 + 180. Let q be 3*30\/(-18) - j. Solve q*c - g = 4*c, -3*g = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5149 = -3*b - 5*k, 3*k + 0 = -12. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 683 = 34*a, 4*y = 3*a + 269 - 197 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195666 = -21638*j - 713130 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 3:56 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/25 - -22\/75. What is the nearest to 43 in 1, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*q - m, 3*m = 4*q - 0*m - 19. Suppose -7 + 51 = q*l. Let x = -9 - -15. Calculate the remainder when l is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1343?\nAnswer: 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 21*u + 28. Let p(l) = 11*l + 14. Let z(b) = -6*d(b) + 11*p(b). Let x be z(7). Let n = x - -49. Solve n*j - 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w + 5. Give s(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 221, 227, 233, 239, 245?\n\"Answer: 6*r + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -7*x**4\/6 + 7*x**3\/6 - 5*x. Let u(n) = 13*n**2 - 6*n. Let a(o) = 6*g(o) + 7*u(o). Let l(h) = h. Calculate l(a(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 35*p - 1. Let q(a) = 101*a - 3. Calculate 17*d(w) - 6*q(w).\nAnswer: -11*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j = -2996 - 2428. Calculate the remainder when j is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10120446?\nAnswer: 2, 3, 7, 31, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 - ((-42)\/105)\/(2\/10). Suppose -7693 = u*s - 31869. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6644*y. Let q(t) = -3*t. What is r(q(z))?\nAnswer: 19932*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 13) in base 5?\nAnswer: -2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8399 - -0.1091. Let h = -82.949 - -83. Let o = h + i. What is the biggest value in o, -0.3, 0, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**2*o\/(o\/(o*o**2)))**(-30)*((o*o**(-3\/2))\/(o\/(o*o\/(o*o*(o\/o**(-1\/4))\/o))))**(-10) assuming o is positive.\nAnswer: o**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474538 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11490)\/1532 - (2\/7 + 9\/(-7)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314 - 311. Which is the nearest to l? (a) 5 (b) -0.5 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 188*s. Let v(d) = d**2. Give v(n(a)).\nAnswer: 35344*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*z = 258*z - 20. Let x(m) = -m**3 - 7*m**2 - 5*m + 5. Let d be x(-6). Let j be -4*((-7)\/(-4) + d). Sort z, 0, j in ascending order.\nAnswer: j, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -1486, 19\/2, 0?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 + -117.862. Let x = -32.862 - h. Let k = 37 + x. Sort 1\/8, k, 0.2, 1 in increasing order.\nAnswer: 1\/8, 0.2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 28. Let l be v(6). Suppose 4*y - 2*y = l. Calculate the remainder when 163\/3 - 2\/(-3) is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(45\/270)\/(17\/(-3))*2\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.2 - 9. Let p = t - 0.3. Which is the closest to p? (a) -2\/5 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2263 and 18\/1169971?\nAnswer: 1169971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -14451, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 4) + 1 + 1. Let g = 73 - 46. Suppose -26*m = -g*m + 3. Solve m*d + 18 = -d - 5*h, -3*d + 5*h = -p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95*(-46)\/92*(-2)\/(-15).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - y = 2*y + 1, 0 = 5*v + y - 3. Sort 6\/5, -0.2, -1\/6, v in descending order.\nAnswer: 6\/5, v, -1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/sqrt(384) - (sqrt(88)\/sqrt(8) + 3).\nAnswer: -3 - 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 706109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m - 3854. Let v(i) = -5*i + 7717. Let s(a) = 11*t(a) + 5*v(a). What is the first derivative of s(p) wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = 131*h - 571. Let q = 209 + -6. Suppose -50 = h*f - q. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.2303 to zero decimal places.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 7*q - 1. Let u be z(6). Suppose 0 = 4*i - 24 - 36. What is the highest common factor of u and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/16 and -29\/74.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -25*a - 1023. Let y be l(-41). What is the second smallest value in 1\/7, -46, y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3079, 3087, 3107, 3145, 3207, 3299?\nAnswer: 3427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**1*w)*w)\/(w\/(w\/(w*w*w\/(w**(-2)*w)*w))))**(-1\/2) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1059 + -1047. Let i = 67 + -47. What is the least common multiple of i and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-80))\/(17\/136)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 13*w**3 - 181*w**2 - 30*w + 214. What is p(14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/49 + 4)\/((-1520)\/(-133)).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-2)\/(-4) + -2. Let r = -22026\/7 - -3147. Which is the closest to r? (a) 0.2 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5446 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*j - 72*j = -463*j - 44380 for j.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/4 + 45219*a**2\/4 + 42514212*a - 640259280.\nAnswer: 3*(a - 15)*(a + 7544)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 179569 = 85*w - 929433. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -64*o**2 + 703*o + 7. What is c(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let b(o) = -35113498*o**2. Give b(x(h)).\nAnswer: -140453992*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2244 and 2132548?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -604*4.\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6))**(-29)*(d**(4\/9))**(5\/6) assuming d is positive.\nAnswer: d**(4708\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14196 divided by 770\nAnswer: 1014\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 3, 36\/31?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 2 - 3)*(3 + 3 - 4) + 299 + 418 - 199)*(-6*t + 0*t + 4*t) to the form j*t + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t = -20*t + 3 + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 60 - 31 + 3*f.\nAnswer: 3*f - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = -11, n = -h. Suppose -n*j = 3*d + 4, 23 - 4 = 2*d - 3*j. What is the third derivative of -6*m**2 + 5*m**5 + 4*m**d - 12*m**5 wrt m?\nAnswer: -420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1576, 1576, 1582, 1594?\nAnswer: 1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -431912*f**4 + 2*f**3 + 20*f**2 + 172794*f - 59?\nAnswer: -5182944*f**2 + 12*f + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhrwwhhwwwhwrhwww. Give prob of sequence rwr.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -126773 - 1410?\nAnswer: -130403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/33167616 and -41\/24.\nAnswer: 33167616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 79*a**2\/4 + 1175*a\/4 - 7975\/4.\nAnswer: (a - 5)*(a + 29)*(a + 55)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 60 = -9*p. Solve -p*n + l + 1 = -5*n, -n + 5*l = 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077477 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 0.14?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.031 and -25079926274?\nAnswer: 25079926277.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70, 64, 110, 74, -38?\n\"Answer: u**3 - 50*u**2 + 277*u - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 101000?\nAnswer: -100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*l + 8*l. Let d(x) = 3 + 3 - 8*x**2 - 1 - 4*x. Let c(i) = 1 - 4 - 7 + 4 + 5*i + 9*i**2. Determine l*d(a) - 5*c(a).\nAnswer: 3*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 17*k - 14. What is f(-14)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2. Let r be h(0). Let k = 1 - r. Suppose 3*i - k - 14 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -237*((-15)\/30 + (-4)\/8) is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(2\/11))*j))\/(j*j**(1\/26)\/j*j) assuming j is positive.\nAnswer: j**(-245\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/3*1\/9*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120811945?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 5. Let c be w(7). Suppose -t + 1 = -c. Suppose -90 = -t*l + p, -161 = -5*l + 2*p - 4*p. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 4789208420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*t - 4*i**3 - 33*i**2*t**2 - 12*i**2 with respect to t.\nAnswer: 2*i**3 - 66*i**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115804 - -195765. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-136)\/255)\/((-4)\/(-6)))\/(((-1144)\/3510)\/(-22))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27735275*a**2*j**4 + a**2*j**2 - 111580*a**2*j - 2*a*j**4 + 55*j**2 + 3 wrt j?\nAnswer: 665646600*a**2*j - 48*a*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*v - 142*v - 138*v in the form f + d*v and give d.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 272, 413, 554, 695?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -362 + 271. Are l and -91 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9910 and 675?\nAnswer: 1337850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2010 (base 6) to base 7\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 21 = 3*v - 4*v, -3*v - 103 = -5*t. Let o be ((-6)\/(-5))\/(6\/t). What is the third derivative of w**2 + 3*w**2 - o*w**6 + 0*w**6 + 2*w**6 wrt w?\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -10.7. Let r = -11.5 + q. Let a = 107\/165 - -5\/33. What is the third biggest value in a, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 2*q + 36 - 101 + 30.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3 - c**3 + 1 + 12*c**2 + 4*c**3 - 7*c - 4*c**3. Let k be r(8). Suppose l - 50 = k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 + 82. Suppose -l*x = -10, -2*x - 52 = -t - 6*x. Let k be (-6)\/(t\/(-8) - -4). Solve 2*a - 2*g = 10, 0*g = 3*a - k*g - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 14 - 7 - 138*b - 1 + 29 - 3.\nAnswer: -138*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-66)*20\/(-18)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2 - 7. Let v be 504\/231 + 2\/(-11). Let l(z) = -13*z - v + 14*z + 6. Let t(i) = i + 2. Determine u*t(k) - 3*l(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**4\/7 + 4842*g**3\/7 + 556065*g**2\/7 + 15298200*g\/7 - 7290000 = 0.\nAnswer: -4725, -60, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 23*r - 9. Let o be w(7). Let g = -426 - -718. Let c = g - o. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, n: 5}. Give prob of picking 2 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*b + 21, 1 = 3*j + b - 12. Suppose 0 = j*r + 3*y + 22 - 77, 3*r - y = 47. What is the highest common factor of r and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.1 - 1.1. Which is the third smallest value? (a) -3 (b) -0.4 (c) -10 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/5)\/l)**8*l**(2\/25)*l**7)\/((l\/(l**(1\/3)*l))**(2\/47)*(l\/(l*l**(2\/3)*l))**(-25)) assuming l is positive.\nAnswer: l**(-161348\/3525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13629 divided by 413?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404304, 808605, 1212906, 1617207, 2021508?\nAnswer: 2425809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 21*t**2 + 2*t - 2. Let q be u(-2). Let j be -1 + -16 - q\/(-26). Let l = j + 26. Solve 0*h = -4*h + l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 52\/1802681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 192\/21 - 252332\/26628.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**4 - 45*m**3 - 350*m**2 + 4740*m - 12600 = 0. Calculate m.\nAnswer: -10, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/40)\/(1\/4). Suppose -18 = -t*o + 141. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 36 = -4*f. Let r = f + 9. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**2 - 249914*v - 4486122 wrt v.\nAnswer: -8*v - 249914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/207644 and -25\/27084.\nAnswer: 622932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 343193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 892692.\nAnswer: 44634600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/((-60)\/450). Suppose -5*v - r = -u*v + 8, v - 2*r - 1 = 0. Which is smaller: 7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/15)*j*(j**(-10)*j)\/j)\/((j\/j**(-1\/4))\/j*j**(-2\/5)) assuming j is positive.\nAnswer: j**(-523\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 1. Let n be 88\/(-10) + 8 + (-251)\/5. Let y = -103 + 55. Let k = y - n. Determine x(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-14)*126\/(-6). Suppose -2*n - 10 = -2*w, h*w - 4*n - 20 = -0. Solve w*s - 5*l - 1 = 4*s, -2*s + 5*l = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - c - c)*(97 - 97 + 321*c) - c**2 + 0*c**2 + 4*c**2.\nAnswer: -1281*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 20*x**2 - 372*x - 312. Does 24 divide k(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 10:15 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 111153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -24. Let i be (-2)\/(-22)*(-1 + -5). Sort 0.01, u, i in decreasing order.\nAnswer: 0.01, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -613*f**2. Let u(r) = -2108718*r**2. Give -20638*p(y) + 6*u(y).\nAnswer: -1214*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 120, 135, 150?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4241, 4222, 4203, 4184, 4165, 4146?\nAnswer: 4127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27186 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6694*v - 101996 = 231*v + 5257*v - 1332378 for v.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**2\/2 + 5*d - 3. Let a be u(-4). Sort a, -2, 5 in descending order.\nAnswer: 5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9399176 + 6400824. What is t rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -13. Let c(o) = o**3 + 13*o**2 - 4*o - 12. What is the remainder when c(v) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(((-153)\/(-51))\/((-42)\/(-4)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1 + (3 + 4 - 5)*(4 + 0 - 2) - 11 - 22 - 78)*(5*y**4 + 0*y**4 - 4*y**4).\nAnswer: -104*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30700970 divided by -6140194?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13)\/m**8*(m**(2\/5)*m)\/(m\/(m\/(m**(-2\/7)*m)*m)))**(-2\/3) assuming m is positive.\nAnswer: m**(5606\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 = 5*u + 219. Suppose 3*i = -q - 2, -4*q + u*i = 3*i - 9. Is q not equal to 2\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 5. Let g be d(1). Let i(v) = 15*v - 2. Let f(s) = 16*s - 3. Let z(j) = 4*f(j) - 5*i(j). Let c be z(g). Solve 0 = 2*m + 2*m - c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 29. Let f be i(18). Suppose f*h = -0*h + 546. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 35*r - 365. Give d(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 5*i**2 + 2*i. Let a = 34 - 14. What is the least common multiple of a and q(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1441212402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 124542 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 194000 and 800.\nAnswer: 388000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*d**3 + d**2*x + 4*d*x - 3*x - 1 wrt d?\nAnswer: 366*d + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 5 + (6*sqrt(1216)*4 - sqrt(1216) - 4*(sqrt(1216) + sqrt(1216) + 0 + sqrt(1216))))**2 + 0.\nAnswer: 352*sqrt(19) + 147140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/5)\/z**24)**18 assuming z is positive.\nAnswer: z**(-2286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 3700\/3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 3. Let x(l) = -2*l**3 - 5*l**2 - 3*l - 5. Does 24 divide x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.083062 rounded to 3 dps?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1360*f + 1357*f = -2*l - 8, 24*l = 26*l - 4*f + 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 1. Let w(h) = h + 1. What is -12*o(t) - 3*w(t)?\nAnswer: -15*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (12\/3)\/1. Let y be 102\/9*(-1 + x). Let u be y\/(-8) - 4\/(-16). Put 5, u, 4 in ascending order.\nAnswer: u, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2590, -2445, -2072, -1363, -210, 1495, 3860, 6993?\n\"Answer: 18*n**3 + 6*n**2 + n - 2615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -2)\/(-3 + 4). Suppose b = -0*k + k - 4. Let h = 6 - -9. Calculate the remainder when h is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -222559736*k**2*z**2 + 70091*k**2 + 1486 wrt z?\nAnswer: -445119472*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257683.\nAnswer: 127, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/3)\/h)\/h**(-5))**27*(h**(2\/5)\/((h\/h**(2\/5))\/h*h))\/((h\/(h\/(((h\/(h\/h**5))\/h)\/h))*h)\/(h**(-5)*h*h*h)) assuming h is positive.\nAnswer: h**(689\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*a + 4 = x - 46*a, 5*x - 5*a = -10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -846 + 1325. Suppose 4*z - 20 = -z. Suppose -2*c - 1 = -3, -z*a + 5*c = -g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 130 + 70 = 0. Let g be ((-1)\/6)\/(k\/(-16) + -3). Sort g, -0.5, -0.2 in ascending order.\nAnswer: g, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-2\/23)*x**(-2\/13)*x**(-1\/9)*x**(-2) assuming x is positive.\nAnswer: x**(-3170\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -r, -r - 3*m = 2*r - 3. Let d = 6 + r. Solve -2*p + 3*b - d = -p, -5*b = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2763826, -2763822, -2763818, -2763814?\nAnswer: -2763810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttppttttttpptpttttt. What is prob of picking 2 t?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 - 4107)\/(((-9)\/27)\/(8\/24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2217*z**3 - 2208*z**3 + 4413*z**3 - 40*z.\nAnswer: -12*z**3 - 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828 = -4*o - 4*v, 3*o + 3*v = v + 618. Is (o\/9)\/((-12)\/(-18)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 6:40 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 280753924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axgggxxag. Give prob of sequence xg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103860 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -17*x + 85. Suppose 2*t = -3*j + 22, 4*t - 4*j + 14 = 18. Let g be h(t). Solve g = y - 3*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p - 6. Suppose -4*d + 929 = -2*i - 7*d, 25 = -5*d. Let t = i - -453. Calculate z(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -2.12. Which is the second biggest value? (a) -2 (b) y (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4, 5*b - 5*o = -0*o + 25. Let g be (4\/(-12))\/((-16)\/(-6)). Does g = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/2544480*80)\/(6\/(-93))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 81\/(-405)*(-30)\/(-18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 - 29*s + 6. Let q be c(3). Let m be 1 + ((-9)\/(-3) - (-1 - -2)). Let d be 7\/(-4) - 0 - (-3)\/(-12). Put -3, d, q, m in increasing order.\nAnswer: -3, d, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6148.4269 or -0.1?\nAnswer: -6148.4269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10455 + 0 - -8)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c + 4*c)*(-4735*c + 4735*c - 463*c**3).\nAnswer: -1852*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 750.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15\/7, -13, 26\/7.\nAnswer: -13, 15\/7, 26\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(3\/(-9)*-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b1 (base 15) in base 14?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3. Suppose -2*u - 8*p + 14 = -4*p, 14 = 3*u - p. Let y(n) = 4*n**3. Calculate u*b(j) - 4*y(j).\nAnswer: 9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*o + 137*o - 1378 = 0. Is 106 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, -2, 0.53?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/10)\/((-5)\/(-25)). Let i(v) = 6*v**2 + a*v**2 - v**2 - 4*v**2 + 7*v - 4 + v**3. Does 14 divide i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1125213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38039376 or 38039378?\nAnswer: 38039378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5078\/4635?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 equal to -268\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + sqrt(20) + sqrt(180) + sqrt(5) + -3 + 2*sqrt(5) + sqrt(5) + (sqrt(60) + sqrt(180)\/sqrt(3)*1)\/(sqrt(132)\/(sqrt(11) - sqrt(176)))).\nAnswer: -6*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 390432669.00000086 + -390432665. Let r = -0.6 - 3.4. Let o = k + r. Round o to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 7. Let o be k(-9). Suppose -6 = -2*l, o*l = 5*n + 8 - 2. Let s(f) = f. Give s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q*v**3 - 9*q*v**2 - 3400*q*v + 241926*v**3 + 11203*v wrt v?\nAnswer: -18*q*v - 18*q + 1451556*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*c, 4159 + 20502 = s + 4*c. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89409813 is divided by 438?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038275 rounded to 6 decimal places?\nAnswer: 0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 5*p + 19. List the prime factors of s(-8).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8071?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -6843, 10.\nAnswer: -6843, 10, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 9 - 5*a**2 - 45 + 13 to the form y + g*a**2 + f*a and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 9 - 1 = 5*o, -3*h = 5*o - 32. Let c be (-299)\/(-156) - 1\/o. Let -2\/3 + 1\/3*w**4 - c*w - w**2 + 1\/3*w**3 = 0. What is w?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6051126 and 4034084.\nAnswer: 12102252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.42 - 2.72. Which is the third biggest value? (a) 0.1 (b) t (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3222*q + 335*q + 195240 = 367*q for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 83.07663 hours?\nAnswer: 4984.5978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*k = -x + 114, -4*k + 18 = x. Let p = -15 + x. What is the greatest common divisor of p and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 8*f**2 + 7*f + 9. Suppose -4*d - 16 = 48. Let z = d - -23. What is the units digit of n(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 312*z - 640.\nAnswer: 4*(z - 2)*(z + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1392 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-29)\/783 - (-24)\/(-27). Sort -12, 51, 1, a in increasing order.\nAnswer: -12, a, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -95, 7, 9, 0.9 in decreasing order.\nAnswer: 9, 7, 0.9, -0.3, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -83.4. Round i to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 11:26 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 1 + f - 3*f - 1. Let k be m(2). Is 4\/k - 637\/(-21) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5\/7 + 330*h**4\/7 + 3189*h**3\/7 - 3520*h**2\/7 = 0.\nAnswer: -320, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 491431 != 491406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101427, -405269, -911531, -1620219, -2531339, -3644897, -4960899?\nAnswer: -6479351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4547*n**6 - 21*n**4 - n**2 + 139529*n?\nAnswer: 545640*n**3 - 504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/13))\/u*u**(-2\/5))\/((u\/u**(-7))\/u**4) assuming u is positive.\nAnswer: u**(-291\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((6 - 13 - -47) + (-45 - -51)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -1 + 3 - (sqrt(2448) + sqrt(2448) + sqrt(2448)*-2)*2) + 2)**2*6 + -4.\nAnswer: 576*sqrt(17) + 14780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -6 + 47. Let w = 39 - g. Is 5 a factor of (-405)\/6*w\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878265.\nAnswer: 5, 13, 44281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 1 - (-3 + -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:37 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1281? (a) -0.5 (b) 0.5 (c) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**2 + 43*f**2 + 42*f**2 - 144*f**2 + 13*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - -4.9. Sort g, -0.05, -0.2, -1 in decreasing order.\nAnswer: g, -0.05, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4340080 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -49*u**2 + 0*u + 0*u**5 + 0*u**3 + 5\/4*u**4 + 72 + 13\/6*u**6. What is the second derivative of y(v) wrt v?\nAnswer: 260*v**3 + 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 0, -2\/5, 0.46.\nAnswer: -103, -2\/5, 0, 0.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 20. Let d(t) = 2*t**3 + t**2 - 4*t. Let f be d(-2). What is the third biggest value in f, -1\/10, j, -4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((112\/(-90))\/(-4))\/(790\/(-1975))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from vsbssvsssaggsgggg?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 28*h - 52. Let l be z(-26). Sort 3, -10, 2, l in descending order.\nAnswer: 3, 2, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 28. Let u be t(0). Suppose 5*c - 3*v = 11, -c + 2*c + 3 = -2*v. Let p be c*(-2)\/(-4)*8. Calculate the highest common factor of p and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 22*v + 272. Let r = -2858 - -2846. Give q(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/30 and -109\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 1327746547?\nAnswer: 1327746547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 19\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380416593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, k: 8, d: 5, m: 2, t: 3}. What is prob of sequence dktm?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -216 (base 7) to base 13.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 99*y**2 + 912*y + 5. What is the hundreds digit of d(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1169*q - 2 - 7 + 219*q + 9 as a*q + j and give a.\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.118 - 32. Let j = -0.882 - o. What is the closest to -2 in j, 1\/2, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 188684*x + 754768.\nAnswer: -2*(x - 94346)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -4 - 0 - (-8 + 5) - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-77)\/(-28) + -2). Let o = -2 + 2.5. Let u = 0 + o. Which is the third biggest value? (a) u (b) m (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -642 = -19*l - 490. What is the remainder when 38 - ((-3)\/12 + (-3)\/4) is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/9 + (-1)\/3. Suppose -65 = -z - y*z. Suppose 4*l - 4*m - 11 - z = 0, -l + 4*m + 12 = 0. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -357313\/30 - -11905. What is the common denominator of -73\/27 and n?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 3*y**3 + 3*y**3 - 128 + 68 - 3*y**3 + 57.\nAnswer: 5*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*c**3 - 96*c**3 + 455*c**3 - 85*c**3 - 78*c**3 + c**2 - 99*c**3.\nAnswer: 9*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127023056 and 912?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 21*h = -65. Which is the fourth smallest value? (a) 1 (b) h (c) 1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c - 11. Let x(a) = -c + 0 - 8*a + 1. Let l be x(-2). Solve 0*p - 3*p - 5*o + l = 0, 0 = 2*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -1, -0.874, -1\/9, -1.9, -1\/12?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3798442 is divided by 6795.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*x**5 + 3*x + 447 + 15*x**3 + 3*x**4 - 4916*x**2 - 15*x**3 + 4914*x**2 wrt x.\nAnswer: 1920*x**3 + 36*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, q: 7}. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4152 divided by -8?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a - 634. Let j(n) = -2*n + 317. Let x(r) = 9*j(r) + 4*v(r). Find the first derivative of x(k) wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + 1 + 57\/(-95). Let h be -1 - (-1)\/((-1)\/(-10)). Calculate the highest common factor of h and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -202*p**2\/17 + 1030*p\/17 - 100\/17 = 0.\nAnswer: 10\/101, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*h**3 - 4*h**2 - 6*h**2 + 6*h + 6*h**2 + 2 - 2 wrt h.\nAnswer: 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-293*s**3 + 252*s**3 - 631*s**3)*(2*s + 0*s - 3*s) + 2*s**4 + s**4 - s**4 in the form j*s + v*s**3 + i*s**4 + t + h*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22177 and -0.3.\nAnswer: 6653.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/252 and -103\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5915908 divided by -57436.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*o = -o - 12, 0 = -3*z + 3*o - 12. Let k be (1 - z)\/((-12)\/(-48)). Suppose -4*m + 30 = m. Calculate the highest common divisor of k and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:55 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)*b)**(-4\/9)\/(b**7*b**(-2\/9)*b))**5 assuming b is positive.\nAnswer: b**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6645356 and -0.01?\nAnswer: 66453.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -471332651\/41730 - 124\/6955. Let i = m + 11270. What is the common denominator of i and 4*(-1 + 4\/(-44))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1867768 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 5211, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 628013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2554919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2338 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 116903*l - 116887*l + 5 + (3 + 0 + 0)*(-2*l - l + 2*l).\nAnswer: 13*l - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 2}. What is prob of sequence yff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 3301222330?\nAnswer: -3301222323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 13*r - 17*r - 37, 2*i + 4*r + 22 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 101. Let d = f + 69. Let a(w) = -w**3 + 8*w**2 + 8. Let b(j) = j**3 - 5*j**2 - 5. What is d*a(q) + 8*b(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:00 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -58.9999946. What is l rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 25*n - 23. Suppose -4*x + 13 = -5*x. Let z be j(x). Let w(i) = -4*i + 37. What are the prime factors of w(z)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/343)\/(280\/(-2940))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.02 + -0.02. Let s = k - 1.6. Let w be ((-2)\/(-16))\/(2\/12). Which is the closest to -1\/6? (a) w (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 33 - 8, -3*n + 3*h = -12. What is the nearest to -2\/3 in 4, 0.14, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, 0, 3, 10, 21?\n\"Answer: 2*q**2 - 7*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b = 8*b + 36*b. What is the nearest to b in -3\/2, -0.009, -15, 2?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 + 1)*(3 + 3*r - 3) - r + 3*r - 5*r + 16*r - 13*r + 13*r + (0 + 3 - 6)*(5*r - r - 2*r) + r + 0*r + r to w + j*r and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a kilogram in grams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 12:56 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11075102195370 and 0.5?\nAnswer: 11075102195369.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 879, 2.2, 2?\nAnswer: 879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86901547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -536 - -908. List the prime factors of b.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 30.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxpgxpw. What is prob of picking 1 f and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28914 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 12 = -5*q, 2*g - 36 = -5*q - 2*g. Let f(m) = 6*m**2 - m + 1. Let z be f(1). Let k = z + -4. Solve k*p - q = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6247560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -424*t + 408*t + 537*t + 213*t + 500*t to s*t + n and give s.\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423.11*0.053.\nAnswer: -22.42483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose 5*y - m*s - 8 = -6*s, 5*y + 3*s - 6 = 0. Suppose y = -3*d - 4*l + 3 + 26, -2*l = d - 11. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {l: 5, r: 1, g: 2, x: 6, y: 1, a: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -114*a - 6374. Calculate f(-57).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1855 divided by 371\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.74536 minutes to nanoseconds.\nAnswer: 2444721600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 4:25 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.272384 months to centuries.\nAnswer: 0.00106032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*m**5*v + 67612*m**3*v**2 - 8*m**2*v - 329831*v**2 wrt m.\nAnswer: 480*m**2*v + 405672*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, 16, 17, 18?\n\"Answer: r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482116 bigger than 1482774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzzzzwzozowwwbwwz. Give prob of picking 1 w and 1 o.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 5 - (4 + -2). Suppose w*h = z - 0*z - 12, 15 = -4*h + z. Calculate the remainder when 6 is divided by 4 - h\/(-3)*0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 30 - 27 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 2 + 11. Calculate the remainder when 25 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c - 442 = -118 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/72)\/((-3661)\/8368)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -296\/2357979?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 - 7*b**4 + 20*b**4)*((0 + 0 - 6)*(-1 - 3 + 2) - 4 + 2 - 2).\nAnswer: 96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231?\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*s**2 - 8*s + 20 wrt s?\nAnswer: -566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 9:32 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16636 divided by 2\nAnswer: 8318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + 1111?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1247249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16.1 + 15.8. What is the nearest to 2 in c, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128222347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*l = 4, 2*d + 5*l = -12 + 4. Solve -d*t = -16 - 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 2402244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 2*r - r)*((-2*r**3 + 2*r**3 - 3*r**3)*(2 - 2 - 2) - 2*r**3 + 4*r**2 - 4*r**2) as k*r**3 + j*r + d*r**4 + l*r**2 + y and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(637))**2 + (sqrt(104) + (sqrt(104) + sqrt(104)*-1)*5)\/sqrt(8).\nAnswer: sqrt(13) + 2548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110548 + 11228 = 52*s. Round s to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -t + 6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008) - sqrt(1008))**2 + -2 + (-3 + sqrt(7) + 0 + 2*sqrt(700))**2.\nAnswer: -126*sqrt(7) + 12166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 8:05 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -82114600 to the nearest 1000000.\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -2*z - 16, 13888 - 13899 = 7*z - 2*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 + 5*v**2 + 3*v - 4. Let z(f) = -2*f**3 - 4*f**2 - 2*f + 3. Let y(j) = 3*d(j) + 4*z(j). Let s(q) = q**2 - q. Give 2*s(x) + 2*y(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 0.3963\nAnswer: -0.1963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4676 and 22540?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.0001386.\nAnswer: -0.4998614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322765 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 t when three letters picked without replacement from lkdneklddttdddndlnk?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51566 and 209300.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and -29\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - d**2 + d + 3. Let s be c(0). Solve -s*n + 8*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 5*j**2 + 5*j - 2. Let g be k(-6). Differentiate 6*s - 3*s + g + s with respect to s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 4. Determine y(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 13\/3*r**3 + 4*r - 1\/2*r**4 + 78 - 23\/5*r**5 + 0*r**2. What is the third derivative of m(u) wrt u?\nAnswer: -552*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/219140 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 11*o - 25*o)*(-2*o**2 + o - o + (2 - 3 + 3)*(-2*o**2 - 2*o**2 + 3*o**2)) - 2*o**3 - o**3 + o**3.\nAnswer: 46*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-19)))\/(g\/(g**26\/g)*g))\/((g**39\/g)\/(g**12\/g*g)) assuming g is positive.\nAnswer: g**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 186663488.\nAnswer: 933317440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 17 - 1 = 0. Suppose 0 = -m*q + q + 66. Suppose 92*a - 95*a = -6. Solve -4*h = -4*j + j + q, 4*h = a*j - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 2*q - 10, 0 = w + 3*w - 5*q - 8. Suppose 3*o + 907 = 5*o + 3*m, -w*m = o - 451. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 - 2*k - 9. Let l(q) = 2*q**2 - q - 5. Let u be (2 - -2) + (-11)\/1. What is u*l(a) + 4*b(a)?\nAnswer: 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + (-20)\/(-6). Let l be 42\/8 - s\/16. Solve 14 = -l*n + 39 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3, 11*b - 13*b + 2447 = f. Calculate the highest common factor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/2 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42162 (base 9) to base 15\nAnswer: 83ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {n: 2, w: 2, i: 1, p: 6, u: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/28 + (-16)\/(-7). Let u = 2 - b. Let w be -250000 - (2 - 1)*u. Round w to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24634860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, o: 13}. What is prob of picking 2 w and 2 o?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.755078 nanometers?\nAnswer: 0.000755078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-9))\/((-450)\/405))\/((-1)\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 77. Which is the nearest to -1\/7? (a) -3 (b) l (c) 0.4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 2. Let q(f) = 3*f**2 + 7. Suppose -2*a + 0 + 6 = 0. Suppose -a*i = i - 28. Let h(m) = i*s(m) + 2*q(m). Let r(c) = 2*c**2. Give h(r(p)).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2484 and 1458.\nAnswer: 67068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1534140 and 14580?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 8:59 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -337.8 + 337. Let g = 47.4 + -47. What is the nearest to -1 in -4, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52533*j**3 + 12*j + 231?\nAnswer: 315198*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54 - 3\/(3\/(-2)). Suppose 0 = 4*k + k + 5*z - 50, -4*k + 4*z = -j. Solve -k = 2*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/4136 + 385\/376. Let b = -378499\/40 - -37861\/4. Calculate the common denominator of l and b.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/5 - 3599*a\/5 - 7202\/5 = 0.\nAnswer: -2, 3601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {s: 11, e: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 472\/2596 + (-30)\/44?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooooo. Give prob of picking 3 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7923 by -2641.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -25. Suppose p + 4 = 54. Suppose 2*j - 7*j = -p. Solve -k*i = -i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 - 456*y**3 - 913*y**2.\nAnswer: y**2*(y - 1826)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**7\/720 - q**6\/360 + q**5\/60 - q**2. Let f(g) be the third derivative of k(g). Is f(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5668*o - 5541*o + 21447*o to w + y*o and give y.\nAnswer: 10238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 614621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79276 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: Is 1826125380 a multiple of 6477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 + 23*o + 25. Determine b(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 69 in descending order.\nAnswer: 69, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-4)\/3)\/(2820\/31725).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 + 0.69. What is the third biggest value in f, -2\/3, 3\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*f = -435 - 525. Let c(z) = -66*z**2 + 5*z - 5. Let v(o) = -297*o**2 + 22*o - 22. What is f*v(u) - 22*c(u)?\nAnswer: -33*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3 - 18506*o**2 - 92511*o - 111006 = 0. What is o?\nAnswer: -18501, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109555162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14*k**2. Let m = -99 + 101. Let t(h) = 89*h**2 + 90*h**2 - 175*h**m. Calculate t(s(f)).\nAnswer: 784*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (-356)\/(-88))\/((-2)\/4). Suppose 0*o = -o - 1. Is o at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -13. Suppose x*p + 0 = 13. Let o be 1070\/(-2) - 3\/(p - 4). What is o rounded to the nearest ten?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.493567 and -6.\nAnswer: 218.961402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + -1*sqrt(3))**2 - ((1*sqrt(108))**2 + -5).\nAnswer: -98 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**7\/840 - 7*g**6\/480 + g**5\/40 + 82*g**2. Solve a(d) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -400 - -734. Let o = v - 330. Solve -4*f = 2*u + 14, -4*u + 2*f = 4 + o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 74*q + 450. Give f(-56).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*i - 154*f + 1535 = -0*i, -3*f + 26 = 4*i - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 r when four letters picked without replacement from {v: 1, r: 7, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -43, -5 in ascending order.\nAnswer: -43, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6*s**2 + 67*q**6*s - 149*q**2*s + 3*q*s**2 - 6*q + 2*s**2 wrt q.\nAnswer: 240*q**3*s**2 + 8040*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0, 13 in ascending order.\nAnswer: -27, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**(1\/13))\/j))\/j**8)**(-8\/7)*(((j\/(((j*j**(1\/3))\/j)\/j))\/j)**(2\/21))**9 assuming j is positive.\nAnswer: j**(772\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11225700 by 149676.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 28*c**2 - 3*c + 74. Give r(14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-22)\/(-4))\/((-2520)\/(-144))?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 39*o**2. Let k(s) = -32*s**2 + 5*s - 15. Let t(p) = 49*p**2 - 7*p + 21. Let y(a) = 7*k(a) + 5*t(a). What is y(r(q))?\nAnswer: 31941*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - v = -2, -2*v = 5*a + 2*v - 12. Let t be (-1)\/(-36) + (-1)\/a. Which is smaller: -0.1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 5)*(-1 - 4*n + 2 + 3*n).\nAnswer: -4*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 81.04 + -90.04. What is the second biggest value in -0.1, y, -58, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8*(8\/(-6))\/(672\/(-378)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 2*q + q)*(-25*q - 47443 + 0*q + 47413) in the form v + o*q + h*q**2 and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 108*c + 9. Let r(x) = -41*x - 4. Let y(d) = 3*g(d) + 8*r(d). Let a(t) = 3*t + 5. Give -7*a(n) - 6*y(n).\nAnswer: 3*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 406\/105)*-5. Sort -2\/11, 4, -27, w in decreasing order.\nAnswer: 4, -2\/11, w, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4257.0760235 - -4261.476. Let m = g - 4.4. Round m to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 0, 81 in decreasing order.\nAnswer: 81, 71, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(343) + 1) - 6*(sqrt(343)*1 + sqrt(343)) - (1*sqrt(343)*2 - ((sqrt(343) - (sqrt(343) + sqrt(343)*-1)*-4) + sqrt(343))))**2 + -5 + -3.\nAnswer: -560*sqrt(7) + 68600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 15. Suppose 5*x = 596 - 641, -t - 48 = 9*x. Calculate the lowest common multiple of t and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15908\/37 - 430. Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 203 + -11 + -9 + 11. Solve 3*c + p = 209 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2251 - 10171 = -240*p for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + -18. Let b = -42.00038 - r. What is b rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -111\/2*k**3 + 30 - 63\/2*k**2 + 3\/2*k**4 + 27\/2*k**5 + 42*k = 0.\nAnswer: -10\/9, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1902921114 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -57, -154, -291?\n\"Answer: -20*l**2 + 3*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 4)*6\/16. Solve -8 = t*r + r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 + 2*k - 3. Let t(z) = z**3 + 7*z**2 - 11*z - 27. Let p be t(-8). Is 10 a factor of d(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/15 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 6. Let h(d) = 5*d + 5. Let x be -21 + 18 + (-3)\/(-1) + -5. Give x*c(l) - 6*h(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 629*s - 550*s - 878*s in the form o + v*s and give v.\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*f - 635*f - 1073*f + 314*f - 111*f)*(-20*f**2 + 20*f**2 - 13*f**3).\nAnswer: 20969*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1208266 and 75063.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 + 2*n - 2. Let d be a(2). Suppose 3*h - 3*z - 66 = 0, -5*h + 157 = 4*z + 11. Suppose h = 10*s + 3*s. Put d, -8, s in descending order.\nAnswer: s, d, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 5)*(0*d - 3*d + 2*d) + 586 - 124*d - 586 + 2 - d + 2*d - 2*d as z + n*d and give n.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*b**2 - 124*b**2 - 8*b**4 + 6*b**4 + 65*b**2 - 1868*b wrt b.\nAnswer: -24*b**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-6) - (-4)\/12. Let i be 2*(0 - -2) - g. Solve 5*j - 8 = i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 + 58. Let h be (-84)\/(-8) - (3 - 36\/8). Calculate the remainder when (-3)\/(h\/208*-2) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68199.42nm to micrometers.\nAnswer: 68.19942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -c638c (base 14) in base 6?\nAnswer: -14125424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) - sqrt(441))*1)\/(-1*sqrt(175)) - -4*((1*sqrt(35))\/sqrt(5) + sqrt(14)\/sqrt(2)*2).\nAnswer: 62*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkmkkkkjwjhkmj. What is prob of sequence mm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 31610000 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 5. Suppose 0 = -3*o + 2*o - 13. Let b(i) = -i**3 - 14*i**2 - 13*i - 4. Let u be b(o). Let t be v(u). Which is bigger: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (324\/(-12))\/((-24)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 26\/6)*3. Let r(j) = 148*j**3 + 2*j - 1. Is r(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131\/3 at least 2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (78\/13)\/(-1 - (-2)\/(-4)). Let f(d) = d**2 + d - 3. Determine f(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003 (base 5) to base 13.\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10953, -21945, -32937, -43929, -54921, -65913?\n\"Answer: -10992*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.1, -0.03, 1716?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 8*d**2 - 14*d - 63. Determine l(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/(-136))\/((-21)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -7, -1\/4, -115.\nAnswer: -115, -7, -1\/4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -282 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r**2 - 9*r. Let s(c) = 7*c**2 - 4*c. Let i(u) = 9*s(u) - 4*y(u). Suppose -o + 2*o + 1 = 0. Is i(o) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 1118, 0, 3, -0.5?\nAnswer: 1118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1999.511 decades to millennia.\nAnswer: 19.99511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**2 - 20*f + 47. Let w be a(3). Which is greater: -79 or w?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -3*m + 8*h - 4*h - 13, 1134*m - 1127*m + 41 = -2*h for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294224 divided by -73556.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**6*s*s*s**(-6))\/((s\/s**(-1)*s)\/s*s**2))\/((s**(1\/5))**(-8\/7))**(32\/7) assuming s is positive.\nAnswer: s**(-234\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 265 (base 7) to base 5\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 3. Solve -x*l + 10 = 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 350 (b) 2\/19 (c) 13 (d) -3 (e) 2\/13 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800 (base 10) in base 12?\nAnswer: -1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78870 and 23980?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 8*n**2 + 3. Let y be l(11). Does 5 divide (-2)\/7 + y\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -363\nAnswer: -4\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o = 0. Suppose 8 = 2*z - o*z. Suppose z = -d + 9. Sort d, -4, 3.\nAnswer: -4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6263*n. Let t(a) = 13*a**2 + 12*a. Calculate t(m(k)).\nAnswer: 509927197*k**2 - 75156*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 146 and 932367826?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-121)\/22 + (-10664)\/(-2480).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 395\/11 + -36. Let w = -2\/13 - -19\/39. Let z be 54\/(-15) + 4\/(-10). What is the closest to 2 in n, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*l + 10549, 13*h - 10570 = 11*h - 2*l. Suppose h = 16*s - 3022. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43858 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 3*z - 6000 + 5980. Determine t(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. What is the second derivative of 3*h + 6*h**2 - i*h**2 - h**2 wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-1) - 3) + 1. Let d be (-3)\/(k + 33\/(-12)). Solve 0 = d*t - 5*f - 17, 2*t + 3*f + 21 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2119146 bigger than -12714871\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -101\/15, 5\/4, 23?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 73 - 53. Suppose -7*o + 30 + 33 = 0. Calculate the highest common divisor of o and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from wwawa?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 5*a**4\/24 - 5*a**3\/6 - 2*a**2. Suppose 4*y - 57 = 2*k - 5*k, y = -k + 18. List the prime factors of b(k).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3585139?\nAnswer: 3585139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2107*l**2*r - 574749*l**2 - 1600*r**4 wrt r.\nAnswer: 2107*l**2 - 6400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jujjujujujujjj.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4\/5 + 3*v**3\/5 + 27*v**2\/5 + 33*v\/5 + 12\/5 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28164)\/16429)\/(1*(-4)\/(-42))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223 - 158. Let w = f - 65.049. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6047833, 12095661, 18143489, 24191317, 30239145, 36286973?\nAnswer: 42334801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4107068414 and -8.\nAnswer: -4107068422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 + -2 + 8 - 7 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*j + 2*b = -74*j + 183*j + 4*b - 63, -b + 116 = -9*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2444514 - -4?\nAnswer: 2444518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 4. Let p be 25\/(-4) + (-15)\/(-60). Give b(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(204)*1*-5*-2)\/(sqrt(108) - (sqrt(108) - sqrt(108)*3)*3 - sqrt(108)).\nAnswer: 25*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4\/4 - 1836*s**3 + 11007*s**2\/2 - 5502*s + 7335\/4.\nAnswer: 3*(s - 2445)*(s - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 25*d**2 + 6277*d + 48613. Give l(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19395334?\nAnswer: 2, 7, 17, 227, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*s - 111 + 111 + 78*s to q*s + g and give q.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -312939 + -2.\nAnswer: -312941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1068 * 2.\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -23*z**3 + z**2 + 10*z. What is o(-2)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*h**3 - 40*h**3 - 18*h**5)*(-2 - 8 + 4)*(0 + 3 - 24).\nAnswer: -2268*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 103.52. Let g = 1337.541 - 1337. Let q = g - x. Round q to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*k - 631 - 5012. Sort -5, 2, k in decreasing order.\nAnswer: k, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -16. Let z = 25 - 21. Let w = 7 - z. What is the greatest common divisor of q and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*m = -21, -2*n = 2*m - 1 - 17 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*x - 9 = 0, 4*x = -5*a - 9 - 3. Let u(v) = v + 5. What is the units digit of u(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/16375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*k + 18. Solve k*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11163 - -11135. Sort -49, d, -5 in decreasing order.\nAnswer: -5, d, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 = 2*z. Let r(i) = -i**2 - 2*i. Let y(c) = -4*c**2 - 17*c + 5. Let t(a) = 6*r(a) - y(a). Let x(g) = -2*g**2 + 4*g - 4. What is z*x(p) + 4*t(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -20. Let h(m) be the first derivative of -1\/3*m**3 - j*m + 1 - 2*m**2. Factor h(l).\nAnswer: -(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-11 - (28 - 14)) + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 15*u**2 - 14*u + 2. Let w be t(-14). Let k(i) = 25*i + 1021. Let q be k(-41). Sort q, -22, w.\nAnswer: -22, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 87*o - 605. What is l(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**3\/6 - 11*c**2\/2 + 2*c + 11. What is the remainder when 61 is divided by d(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -323 - -35?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/22, 2, -2\/5, 2\/5 in descending order.\nAnswer: 2, 2\/5, 5\/22, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkmtkkkkhtkkkt. What is prob of sequence tmhk?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r + r**2)*(r - r - r**2) - 2*r**4 - 5*r + 5*r + 0*r**4 + r**4 + 41*r**2 - 37*r**2.\nAnswer: -2*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 307464?\nAnswer: 922392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1 (c) 23\/2 (d) -3\/2 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 33.6. Which is the nearest to -1? (a) 0 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/6655 greater than or equal to 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(76) - (sqrt(76) - sqrt(76)*-2)))\/((sqrt(4) - sqrt(576)*-2) + sqrt(4)) - ((1 + sqrt(19))*-1 + (sqrt(931) - (sqrt(931) + -1)) + 2))**2 + 2.\nAnswer: -68*sqrt(19)\/13 + 6505\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 12260?\nAnswer: 183900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*a + 36. Let x(n) = -6*n**3 - 3*n**2 + 1. What is the remainder when a is divided by x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**12)**(12\/7)\/(b\/(b\/(b*b*b**(3\/8)*b*b)))**(20\/7) assuming b is positive.\nAnswer: b**(113\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 119305812 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*d = -35, -2*d + 175 = 5*y + 210 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 - 17*x + 4. Let p(l) = 6*l**2 + 22*l - 5. Let z(u) = -4*p(u) - 5*q(u). Determine z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8771\/5 or -1754?\nAnswer: -8771\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 8379.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 1\/(-1) + -2. Let p be (6\/8)\/(1\/u). Let r(f) = -f**2 - 5*f + 7. What is the remainder when 1 is divided by r(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let a(t) = 23*t - 6450. What is a(o(z))?\nAnswer: 46*z - 6450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15c (base 16) to base 3\nAnswer: -110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3113284, 12453128, 28019532, 49812496, 77832020?\n\"Answer: 3113280*y**2 + 4*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 2, 5472 in increasing order.\nAnswer: -6, 1, 2, 5472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*u**3 + 54*u**2 + 80*u**2 + u**4 + 3*u**4 wrt u.\nAnswer: 96*u + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195576701 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 0 = -31*j - 18*j - 2371 + 656 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*t**4 - 11238*t**3 - 191*t**2 + 7723.\nAnswer: -912*t - 67428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/(11\/(165\/6)). Is a less than or equal to -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-2*-1)\/(sqrt(243) + 1*sqrt(243)*5).\nAnswer: 4*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*m**2 - 8*m**2 - 6*m**2 + (3 - 3 + m)*(m - m - m) + m**2 - 3*m**2 + 4*m**2 to the form l + a*m**2 + z*m and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y**2 - 24*y - 22. Let p be r(-1). Put -0.1, 0, p in descending order.\nAnswer: 0, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-465)\/1116)\/((-75)\/40)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 8*w**2 - 12*w - 14. What is the tens digit of c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2320*l*n**5 - l*n**2 - 16*l*n + 12 wrt n.\nAnswer: 139200*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34a11 (base 14) to base 3.\nAnswer: 20111212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 5*f**2 - 4*f - 5. Give h(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, -112, -98, -78, -52, -20, 18?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/16254)\/((-3)\/(-9)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 21*k - 752 + 2132 = -48*k, k + 40 = -k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(1 - 8 + 5 - 12*r).\nAnswer: -12*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + sqrt(2448).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5871008.08 rounded to the nearest one hundred?\nAnswer: 5871000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 362757 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7594*x**2 - 68330*x + 144.\nAnswer: -2*(x + 9)*(3797*x - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/146 and 3\/(-12) + (-262)\/88?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(2\/(-28)). Let o(a) be the first derivative of -a**4\/4 + 3*a**3 - 5*a**2\/2 - a - 366. What are the prime factors of o(y)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1632358 - 1632355. Determine r, given that -3\/2*r**z + 0 + 0*r - 3*r**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*a - 5 + 2, -2*y - 2 = 4*a. Let t(i) = 3*i - 1. Let f be t(1). Let m be 4\/6*15\/f. Solve -m*j - 8 - 12 = a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 8. Let k = 10 - x. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 1. Let n(w) = 6*w + 4. Suppose -5*g = -i - 6, -g + i + 2*i - 10 = 0. Calculate g*n(t) - 11*v(t).\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, d: 1, u: 1, k: 1, n: 2, h: 1}. Give prob of sequence hdu.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 9*n - 32 = -4*k, 0 = -5*k - 4*n + 4. Solve -k*q + 2*c = -0*c + 18, -q = 3*c - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 22*s**3 + 6*s**2 + 5*s + 28. What is w(-3)?\nAnswer: -527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273058*o + 16456 = 272871*o for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4, -5*u - 5*y - 30 = -0*u. Let b(a) = 163*a**3 - 77*a**3 - 10 - 85*a**3 + 7*a**2 + 3299023*a - 3299032*a. What is b(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -174*x - 3. Let n(z) = -522*z - 7. Calculate -8*d(q) + 3*n(q).\nAnswer: -174*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 908a7?\nAnswer: 908a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -25*v - 2. Let s(b) = b**3 + 17*b**2 + 21*b - 6. Let o be s(-9). Let p(i) = -453 + o + 2*i**2. What is c(p(n))?\nAnswer: -50*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99034909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93)\/21 - 100\/175?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268 divided by -134.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t + 7 - t**2 - 19\/40*t**6 - 1\/3*t**3 + 0*t**4 + 17\/20*t**5. Find the third derivative of n(s) wrt s.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 4. Let c(o) = -1. Let u(z) = -4*c(z) - j(z). Let b(r) = 4*r**2 - 3*r**2 - 9*r**2 + 3*r**2. Determine u(b(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-1) - -2)*-1. Suppose -3 + 9 = 3*r, 3*y + 2*r - 16 = g. Solve -4*i + y = -6*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 887834730 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 758*h. Let o(p) = 6*p**2 + 11*p**2 + 17*p**2 - 33*p**2 + 5*p**2. What is o(g(v))?\nAnswer: 3447384*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 0*f - 1\/60*f**5 - 11*f**2 - 1\/24*f**4 + 1\/120*f**6 + 0*f**3 + 0 + 1\/210*f**7. Suppose a(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2\/5 + 2*w + 12\/5 = 0. Calculate w.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 484715647633 - 1290?\nAnswer: 484715646343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 58 = -3*b + 6*h, -1502*b = -1497*b + 4*h + 81 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f**2 + 22 - 3 + f**3 + 9*f - 15. Let b be a(13). Let d = b + 70. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 19*v - 18. Let p be s(-16). Suppose 195030 = p*w - 916620. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*k**4 + 89 - 89 + (2*k**2 + 0*k**2 - k**2)*(-4*k**2 + 4*k**2 - 2*k**2) - 2*k**4 - k + k + 0*k**4 + 0*k**4 + k**4 - k**4 + k**4 + 4*k**4.\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -754847 and 7371626.\nAnswer: 6616779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113914*p**3 - 2*p**2 + p + 400123?\nAnswer: 341742*p**2 - 4*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = m - 4*m - 5*t, 40 = 3*m + t. Which is the closest to 2\/7? (a) m (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, y: 3, j: 6, v: 3}. Give prob of picking 1 h and 3 j.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 6*k + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*t + 183 = -0*t, 0 = 4*o - 5*t + 153. Let q = o + 53. Let j(u) = u**2 - 16*u + 6. Let p be j(q). Solve -p*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*r + 9 = 0, -4*m - r + 13 = -2*r. Find the third derivative of 4*x**6 + 37*x**6 + 3*x**6 + 26*x**6 - 5*x**m - 5 wrt x.\nAnswer: 8400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(66\/(-18))*(-49)\/((-3381)\/(-207)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5 - 308*r**3 + 14*r**4 - 12*r - 67*r**4 + 1881 - 2077 + 587*r**2 - 16*r = 0?\nAnswer: -14, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 0.449, -8, -29?\nAnswer: 0.449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110101100011 (base 2) in base 6?\nAnswer: 1251135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9\/5, 3\/19, -30, -1, -0.4?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.64 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 11*u**2 + 11*u + 13. Suppose 14*l + 145 = 19*l. Suppose 2*g = 3*n + 6*g + l, -2*g = 5*n + 39. What is the tens digit of y(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200692403 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:36 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 84 = -4*f, -2*f - 4 + 4 = -8*f + 3*f + 6*f for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44074 is divided by 13849?\nAnswer: 2527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5413 (base 14) to base 9\nAnswer: -21824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221\/4 + -55. Let r = -0.18 - 0.58. Let u = -0.26 - r. Which is the closest to t? (a) -0.1 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1448016 and 83\/3492?\nAnswer: 4344048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = t + 2*t. Let y = t - -3. Let h(n) = -n - 3. Let k be h(y). Solve -4*f + k*f + 20 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -0.4, -0.026?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7968 and 10144?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 3:48 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-18) - 11\/(-9). Sort x, -3, 5.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*u - 4776 = -3414 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 61 = 2*i - 3*g, -i - 2*g = -33. Let d be 16\/(-1) - -1 - 1. Let f = d + i. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81.3 - -40.271. Let o = n - -0.029. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 806.814 grams?\nAnswer: 0.806814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184426 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 3 + 29 + -31.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15584 divided by 1275\nAnswer: 15584\/1275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 - 62. Let v = -7 + 51. Calculate the remainder when v is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 1:26 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*o - 4 = 0, -3*i + o = -401 + 385. What is the greatest common divisor of 658 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -1587*t**3 + 5*t**2\/2 + 139*t + 2724. What is the second derivative of p(b) wrt b?\nAnswer: -9522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -12\/7, 0.033, -1703?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 71 + 71 - 9*i**2. Let l be a(9). Let h be 0\/1 + 0 + 1 + l. Let x(q) = -7*q**2 - 2*q - 5. Let c(s) = -s**2 - s - 1. Give h*x(k) - 5*c(k).\nAnswer: -2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8588000 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.85 - 0.54. Let m = w + -2.32. Let v = m + 2.010274. What is v rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 869 and -3.\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 31 - 41*k - 11*k - 14*k + 28 to w + y*k and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35069260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upp when three letters picked without replacement from uuuuuuuupuuuuuuuuu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48706 is divided by 5408?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186339*d**2 + 88*d**6 + 353*d**6 + 186575*d**2 wrt d?\nAnswer: 52920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6691350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 33273394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/4, -4, 1\/2, 1\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4. Suppose 20 = -2*r + 2. Let i(l) be the third derivative of l**4\/24 + 17*l**3\/6 + 15*l**2. Calculate r*v(s) + 2*i(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + q**3 - q**3)*(24 - 24 + q + (0*q + 4*q - 6*q)*(4 - 3 - 3)*(0 - 2 - 5)).\nAnswer: 81*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741034.\nAnswer: 2, 7, 41, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/15120 and 11\/160272.\nAnswer: 801360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1153 and -85.\nAnswer: -98005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 0*j**2 - 3*j**2)*(3 - 2 + 0)*(-26 + 9 - 26).\nAnswer: 215*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54852)\/(-2612))\/(((-1)\/(-4))\/((-3)\/(-54)))*-6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - n = -446928, -4*n + 25 = 5. Suppose q + 43077 = -i. Round q to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4338*k - 4237*k + 2727 = 0 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20218576733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 + 349?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - f + f)*(-37 - 9 - 28 + (3 - 1 - 1)*(-1 + 2 - 7)).\nAnswer: 160*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37\/120 - -1\/40. Let x be (-69)\/345*(-1 + 1). Factor x - d*t**2 + 0*t.\nAnswer: -t**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 13}. What is prob of picking 2 u?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50 + 50 - 6*j)*(3*j - 6*j - j)*(-j + 3*j - 3*j)*(14 - 14 - 4*j) - 7*j**4 + 11*j**4 - 6*j**4 in the form c*j**4 + m + d*j**2 + k*j**3 + x*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 - (-45)\/(-567)*-1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d - 37*d = -234. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m + 14 = 306 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let o = k - 5. Let j = o - -5. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 11, -16, -1.04, 5?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z*z\/z**(-21\/2)*z)\/z*z)\/z)*z\/(z**(5\/3)\/z)*(z**(-2\/91)*z)\/z*z*(z**(-4\/13)\/z)\/z*z*z assuming z is positive.\nAnswer: z**(-5731\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 5, 4, 0, 2 in decreasing order.\nAnswer: 5, 4, 2, 0, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 562, 558, 552, 544, 534, 522?\n\"Answer: -g**2 - g + 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*s**3 + 1 + 66 + 78*s**3 + 84*s**3.\nAnswer: s**3 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 9*g - 3. Let w be s(-6). Let f be (2 - w\/6)*-6. Let a(c) = c**2 + 0*c + 3 - f*c + 5*c**3 - 4*c**3. Determine a(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56421 + 98733885.\nAnswer: 98677464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = j - 49, 7*o - 9*o + 20 = -4*j. Solve -4*k = 0, 3*w - 6*k = -9*k - o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 411, 14, -2, -1, -4, 1 in decreasing order.\nAnswer: 411, 14, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from uddcdcucdcbubccuubu.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveaddgydgegegedddge. Give prob of picking 2 d and 1 g.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154085 is divided by 524.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 2 + 15)*((2 + 0 + 0)*(-2*s + s - s) + (-2 - 2 + 5)*(-4*s + 6*s - 3*s)) - 3*s + s + 3*s + (-2 - 1 + 1)*(-2*s + s + 0*s).\nAnswer: -147*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 288\/(-30) - 2\/5. Let z = 12 + n. Suppose s - 15 = 4*y, z*y + 5*s + 50 = -3*y. Which is the third biggest value? (a) 0.5 (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11977.9 microseconds?\nAnswer: 0.0119779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -48. Let s = 14 + d. What is the units digit of 22\/8 + s\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + -2 - (sqrt(32) - (sqrt(160)\/sqrt(5) + 0)))*-1*-4.\nAnswer: -8 + 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125264404 (base 7) to base 3.\nAnswer: -120010222010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -95\/3, -234, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14815847610 rounded to the nearest 1000000?\nAnswer: -14816000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:58 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 390, 391, 392?\n\"Answer: y + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 141. Let k = 277 - v. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrbbrmrbm. Give prob of picking 2 b.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12629, 12625, 12619, 12611, 12601, 12589, 12575?\n\"Answer: -f**2 - f + 12631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 17*t**2 - 58*t - 21. Let m be c(12). Solve 58 = m*h + 67 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0 + 13\/120*r**6 + 0*r + 89\/30*r**5 + 0*r**4 - 242*r**2 + 0*r**3. Find the third derivative of y(t) wrt t.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 6*y**4 + 4*y)*(y - 4*y + y) - 2*y**5 + y**5 - 2*y**5.\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-7))\/(-2 - (-11)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10600 and 12133025?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from bkcbc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) - (sqrt(95)*-2)\/sqrt(5)) + -4.\nAnswer: -7 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14052994 by 2.\nAnswer: 7026497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -391 * -182\nAnswer: 71162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 3:17 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19562 and 1522?\nAnswer: 14886682","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3269615, -13078430, -29426463, -52313720, -81740207, -117705930, -160210895?\nAnswer: -209255108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 62608 and 64.\nAnswer: 250432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3201100 + -2?\nAnswer: -3201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244 + 314. Let s = 352\/5 - i. Solve -1\/5*b**5 - 1\/5*b**3 + 0*b**2 + s*b**4 + 0*b + 0 = 0 for b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3057\/201106 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1933 = -16*j - 131. Let c = 135 + j. What is the highest common factor of c and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43 and 85?\nAnswer: 3655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -140\/3. Suppose 38*o = 43*o + 5. What is the nearest to -1 in x, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:08 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 33 + 7. Let j(l) = l + 10. Let c be j(w). Let d(k) = 27*k**2 - 2*k - 2. Does 34 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12333967013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-seven fifths of a gram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12.2? (a) 310 (b) -2\/5 (c) 0.4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from rrffrxorgrxrxfrxf.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -43*b + 14. Let w(n) = 47*n - 13. Give 5*f(a) + 4*w(a).\nAnswer: -27*a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 92788528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 656097.7 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/544 and 85\/220096?\nAnswer: 3741632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 10:09 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 0*f - 1\/18*f**6 + 0*f**3 + 0*f**5 - 1 + 0*f**2 + 1\/12*f**4. Solve j(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j**3 - 8*j**2 + 31*j - 84. List the prime factors of m(13).\nAnswer: 2, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from sssssssissssssssss?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*sqrt(90)\/sqrt(2)*1)\/(sqrt(72)\/(sqrt(8) + (1*sqrt(200) - sqrt(200)))))**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19602629.\nAnswer: 229, 85601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.79 and 594.\nAnswer: 469.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = -2*u, 4*s + 5*u = -16 - 9. Sort 0.3, 2, s in decreasing order.\nAnswer: 2, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 724684.\nAnswer: 3\/724684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18758127 a multiple of 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2565 and 1684665.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/197, 38, 1?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -591274 divided by 295637?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Factor 4*a**3 + l*a**4 + 2*a**3 + a**2 + 2*a**2 + a**4.\nAnswer: 3*a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -b + 12, -b + 2*b - 5*j - 32 = 0. Let w(g) = -4 - 3*g + b - 6. Calculate w(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551774310.\nAnswer: 2, 3, 5, 41, 448597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 41.8. Which is smaller: o or 3.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.44641 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (-81)\/108\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.28 - -0.02. Let z = r + -0.2. Suppose 58*w = 16*w + 126. Which is the third biggest value? (a) z (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -0.2887322.\nAnswer: -0.25985898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/4*(-1 + (-40)\/(-28))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6442 rounded to two decimal places?\nAnswer: -1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 1. Let h be w(4). Suppose 2650*o + 5728 - 12126 = 9502. Suppose -s + 2*l - l + 8 = 0, 2*l = s - 13. Solve -s*x + h = -o*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 272\/80 + (-116)\/(-10). Solve f*h - 21 = -10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2*w + 5*w)*(-136*w + 40*w + 6*w).\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -3\/545155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from nkttnttztttktzknnkt?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*(-3)\/24*6\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 206560979, 413121953, 619682927, 826243901, 1032804875?\n\"Answer: 206560974*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 2*n + 1. Let v(w) = -5*w + 4. Let h(u) = -u**2 + 9*u - 7. Let o(p) = 3*h(p) + 5*v(p). Let g(x) = 6*f(x) + 5*o(x). Determine g(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3 - 13. Let t be (-18)\/(-9) - (b + 3). Solve k + 0*k = t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1*3\/(-8). Let d = 20 + -24. Let q = -3.3 + 3. Put q, w, d in descending order.\nAnswer: q, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (15 - 6) - -11 - 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*(-15)\/2. Suppose -33 = -d*j + 42. Suppose j + 11 = t. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 111*v + 3510. Is t(18) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 1034, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 84359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-40)\/3 + 0)*(-12)\/5. Let l be (v\/20)\/((-1)\/(-15)). Let x be ((3 - 6) + l)*1. What is the greatest common divisor of 28 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 0.2, 1\/27, -2\/15, -1\/4, -10, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334 (base 12) in base 10?\nAnswer: 7384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 6*y**2 + 8*y + 7. Let x be v(7). Let t be (x\/(-35))\/((-2)\/(-1)). What is the second biggest value in 1\/3, t, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t**2 + 6*t + 38. Let z = -145 - -137. What is the tens digit of j(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993 a factor of 32315920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**5\/5 + 54*l**4\/5 + 262*l**3\/5 - 1566*l**2\/5 - 216*l + 1080 = 0?\nAnswer: -15, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 678204013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4 (base 13) to base 14.\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*c - 13 = -5*q, 2*q - 4*c - 2 = 0. Suppose -m + q = 1. Calculate the least common multiple of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184\/305 + -12\/61. Let x = -0.65 + 0.55. What is the second smallest value in o, 19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -6 (c) -0.04 (d) 1 (e) -1 (f) 233\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0*i**5 + 15*i + 0*i**2 + 0*i**6 - 2\/21*i**7 - 23\/6*i**3 + 0 + 0*i**4. What is the second derivative of g(h) wrt h?\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -96. Which is the nearest to -1\/3? (a) 0.4 (b) -6 (c) x (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -69*n**2\/8 - 1683*n\/8 - 3345\/4 = 0?\nAnswer: -446\/23, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.19 and 0.1?\nAnswer: 1.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*o - 1666, -1532 = -2*p + 2*o + 126. Let j be (p\/(-2))\/(1\/(-2)). Suppose -j = -5*b - 4*k, k = -4*k - 5. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591.5226 centuries to millennia.\nAnswer: 59.15226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9 - 125916.\nAnswer: -125917.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396 and 660?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6 + 341*h + 13 - 318*h + h**2 + 1. Let j be m(-25). Let w = -67 + j. Put -2, w, -1 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1*sqrt(1331) + sqrt(1331))*3*6)**2*6 + 4).\nAnswer: 31049580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/7, -29\/17, 0.4 in descending order.\nAnswer: 0.4, -3\/7, -29\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 13. Calculate o(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 55420, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-4)\/(-8))\/(2\/4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 67*q**2 + 3889*q + 171. Determine m(-58).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6, 3\/8, -1\/6, -5, -60, 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**6 + 0*y**2 - 3*y + 2\/7*y**7 + 1\/8*y**3 + 0 + 99\/80*y**5 - 5\/8*y**4. Suppose l(v) = 0. Calculate v.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-517)\/(-44)*3 + 171\/228\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-1)\/(-3)*(2 + 1). Suppose -k*v = m - 4*m + 2, -6 = -2*m - 2*v. Solve 3*x - 3 = m*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + l - 27 = 0, -35 = -5*z + 4*l - 5*l for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.6. Let y be (-2)\/5 + (-3)\/(-5). Which is the second smallest value? (a) -4 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 55*p**2\/2 + 50*p + 77. Find the first derivative of f(y) wrt y.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1725791 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -286 (base 14) to base 8.\nAnswer: -776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let p = 3 + f. Solve 2*y = -3 + p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -83 (b) -1.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6783, 6815, 6895, 7047, 7295, 7663, 8175?\n\"Answer: 4*n**3 + 4*n + 6775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*q + 1044 - 129 = -464 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 16 + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15666\/36554)\/(2\/364)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - -44. Let m = z - 25. Suppose 4*j - 141 = -2*s + 1, -2*j - 2*s + 70 = 0. Is m <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-92)\/(-40)) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/14 - (-1200)\/210.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 3\/4*f**4 + 0*f**3 + 0*f + 2 + f**2. Find the second derivative of t(g) wrt g.\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4483065 + 4482890.999925. Let z = 174 + m. What is z rounded to six dps?\nAnswer: -0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 4:06 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10857 by 3619.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a72040e + -3?\nAnswer: -1a720412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + (-5)\/(-3))\/((-8)\/36). Let o = 89 - 94. Let u(z) = z**3 + 5*z**2 - 5. Let l be u(o). Sort 1, l, b, 3 in ascending order.\nAnswer: l, b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z - 3. Let l(m) = -3*m + 7 + 4*m + 8*m. Suppose -9722*p + 33 = -9711*p. Determine p*l(k) + 7*x(k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0*3\/15)\/(-1*2). Solve x = -2*y + 3*i - i + 12, -4*i - 4 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*g, 4*h = -2*g + 5*g - 9. Suppose 39 = 3*n - h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5800000 = -3*r. Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 27 = -2*r, 4*w - 4*r - 128 = -6*r. Let x = -34 + 125. Calculate the remainder when x is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.35 + 1.2. Let u = 5.15 + j. What is the nearest to 0 in u, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 9*f**2 + 5*f + 2. Let b be i(5). Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**4\/9 + 146*n**3\/9 + 2354*n**2\/9 + 230*n - 3500 = 0.\nAnswer: -50, -21, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 78*s - 15. Let u(q) = -11*q + 2. Let r = 1405 + -1409. What is r*f(n) - 30*u(n)?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - u - 42, 4*u - 9*u = -3*d + 70. Solve 23*j - 3 = d*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**4\/4 - 4*w**3\/3 + 2*w**2 + 4*w + 997. Let f(g) = -21*g**3 - 27*g**2 + 27*g + 27. What is -4*f(t) + 27*z(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 - -289. Sort 4, -3, -5, i in decreasing order.\nAnswer: 4, i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -20*u**3 + 19079820*u**2 - 171717165*u + 386362710 = 0.\nAnswer: 9\/2, 953982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/107928 and 83\/173884.\nAnswer: 3129912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 7*o - 2. Let q be y(-5). Suppose 2 + q = 5*h. Is h > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 490.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23822108, 47644217, 71466326?\nAnswer: 95288435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2033001 (base 6) to base 7.\nAnswer: 555163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231562795.\nAnswer: 5, 2269, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -305.917 and 13\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/63 + 3*f**6\/10 - 91*f**5\/60 + 687*f. Suppose w(u) = 0. What is u?\nAnswer: 0, 13\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1098125?\nAnswer: 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 104922539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g - 7*t + 4*t, 0 = -5*g + 4*t + 30. Let o be 0 - (g - 11\/4). Suppose h + h - 8 = 0. Which is the second smallest value? (a) 4\/7 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7282 (base 13) to base 7\nAnswer: -64063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 - c**2 - 3*c + 3. Let o(q) = -5*q**3 + q**2 + 4*q - 3. Let p(n) = -6*a(n) - 5*o(n). Let f be 6\/18 - (-7)\/(-3). Calculate p(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -473, -942, -1411, -1880?\n\"Answer: -469*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + o + 46 = 4*o + 3, 2*s + 2000*o = 2008*o - 132 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -85 - -78 - (-2 + (-1 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -202, -7, 526, 1565, 3278, 5833, 9398, 14141?\n\"Answer: 28*a**3 + a**2 - 4*a - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + -18. Let n = k + 61. Let t(a) = -a**2 + 8*a + 7. What is the remainder when n is divided by t(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51255 = 6984*m - 6219*m for m.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 538*y + 539*y - 11, -3*q + 2*y = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 3*q + 8. Let u be f(4). What is the remainder when u\/10 - (-3)\/(-30)*-146 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8062 divided by -12.\nAnswer: 4031\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*((-41)\/(-1) + 0). Let z(u) = -10*u - 87. What is the hundreds digit of z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 881.\nAnswer: -5\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 2117*r**4\/4 + 1317*r**2\/2 + 3*r + 1178. Find the second derivative of w(y) wrt y.\nAnswer: 12702*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-10))\/(3 + (-216)\/60). Which is the closest to 1? (a) -5 (b) -0.4 (c) v (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 3:24 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3989193\/2 or 2?\nAnswer: 3989193\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/6)\/(-20)*1*(-1)\/(-3)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-452 - 352 - 64*q**2 + 748)*(3 - 3 - 2*q**2)*(2 + 3 - 3) to the form p + s*q**3 + k*q**2 + b*q + y*q**4 and give y.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 424*a + 1282*a - 425*a - 433*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1705 (base 11) in base 12?\nAnswer: -131b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 413 = 5*t, 2*z + 0*t - 5*t + 209 = 0. Let f = 113 + z. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/12)\/(8\/(-12))*-36*47\/(-352359)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1329517 or 1329518?\nAnswer: 1329518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/10858392 and 61\/28955712.\nAnswer: 86867136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9074, -18143, -27210, -36275?\n\"Answer: b**2 - 9072*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215386 = 62*j + 208938 for j.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 35. Let l = 14 + n. Suppose 4*j = -l*v, 2*v = 2*j + 6*v. Solve 2*k + 0*k + 3*q + 5 = 0, -2*k + 2*q = j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011101 (base 2) in base 4?\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-23)*l)\/l**(-22) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -4135410?\nAnswer: -4135415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v**4 - 5*v**2 + 3*v**2 + 7*v**4)*(0 + 4 - 1) - v**4 + 0*v**4 + 0*v**4 + (0*v + 2*v**4 + 0*v)*(1 - 5 + 3).\nAnswer: 39*v**4 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r - 1. Let d = -8 - 1. Let g = 14 + d. Let f be (6\/5)\/(-3)*g. Determine u(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t - t - t)*(0 - 1 + 3) - 2 + 2 - t + 0*t - 3*t + t - 27*t + 29*t - 120*t)*(-5 + 1 + 2).\nAnswer: 246*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Let d = 3.2 - 3. Which is bigger: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, q: 2, z: 3, x: 4}. Give prob of sequence qxzq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/71 - -1067\/142. Suppose -b*h**4 - 21\/2*h**3 - 3\/2*h**5 + 12*h + 6 + 3\/2*h**2 = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmllmnnflllf. Give prob of sequence nmf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2342 + -1465. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*l + 9. Let w be l\/(-26) - 524\/(-26). Suppose 358 - w = 2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + g = 2, 2*g - 7*g - 12 = 4*k. Let y be (0 + 4)*-150*4. Let x be (y\/9)\/(k\/43500). What is x rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*v = -8503, 5*g + 3*v = 2*v + 42504. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43796 and 0.865.\nAnswer: -37883.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 2*m + 9, 3*m + 21 - 9 = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-1260)*72 - (-4)\/(-7).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 9. Let z = 6 + g. Put z, -1, -0.2 in decreasing order.\nAnswer: -0.2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/125992 and -73\/164720.\nAnswer: 2594175280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4552*l**2*v**2 + 711766*l**2 + 16*v**2 wrt v?\nAnswer: -9104*l**2*v + 32*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000128067093 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -307.72 and -8.\nAnswer: 2461.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 388199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 214368.501?\nAnswer: -214373.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63 + 12\/(-4) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 1\/4 (c) 0 (d) 96.2371 (e) -225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42609286 or -42609285?\nAnswer: -42609285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**3 + 3*u**2\/2 - 18*u + 107. Determine q so that z(q) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 76*z**7\/7 + 3*z**4\/4 - 669*z**3 - 2352. What is the third derivative of h(y) wrt y?\nAnswer: 9120*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4370 = -s, 99*l = -4*s + 103*l + 17464. List the prime factors of s.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82909 divided by -542\nAnswer: 82909\/542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Suppose 0 = f*v, -3*t - 4*v = -1 + 4. Let q(g) = 19*g - 1. What is q(t)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*u - 2*u - 11, -3*p + 8 = -u. Suppose p*n + 4*t - t = 117, 5*t = -3*n + 107. What is the remainder when n is divided by -3 + (-18)\/(-1) - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/41 and -3\/164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 0*z**6 + 0*z**5 - 8\/105*z**7 + 0*z**3 + 19\/24*z**4 - 4*z**2 + 0*z + 0. What is the second derivative of v(r) wrt r?\nAnswer: -192*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(-15)*311550\/6030?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) + 2)*6 + ((sqrt(189) + sqrt(21))\/sqrt(3) - sqrt(7)).\nAnswer: 12 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(8\/5)*b**3\/b*(b**2)**34*((b**11*b)\/b*b**3)**(-2\/7) assuming b is positive.\nAnswer: b**(327\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -0.2 (c) 1\/2 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -11 + 11 + (-5)\/1. Is 6 a factor of 27\/(-45) + (-138)\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-32))*(x\/x**(1\/27))\/x*x*x\/x**11*(x**(-1\/25)\/x)\/x assuming x is positive.\nAnswer: x**(14123\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57112, 56928, 56746, 56566, 56388, 56212?\nAnswer: 56038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 7. Suppose 2*y - 3*y + 32 = 0. Suppose -y - 8 = p*s. Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256737223.\nAnswer: 256737223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 4) + (16 - 33) - (6 + 0 - 27)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b + 51. Give d(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o - 52. Let t be g(16). Suppose t = -6*a + 272. Calculate the highest common factor of 40 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 107*l + 4277301 - 328097 = 0. What are the prime factors of l?\nAnswer: 2, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 84 = 4*g, -5*j - 2*g + 3*g = -93. Let r = 25 - j. Let p be (3 + -6 - -1) + 65. What is the greatest common divisor of p and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11*s**3 + 3*s**2 + s + 6. Let z be h(-2). What is the highest common factor of z and 448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(2736) + -3*sqrt(2736) - sqrt(2736)))**2.\nAnswer: -1152*sqrt(19) + 394000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2003745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (48\/88)\/((-96)\/4928)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -47821, 0.4, -0.3?\nAnswer: -47821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 450183758 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 6*t. Give g(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = -16. Suppose -d*u = 13 - 65. Suppose l = g + u, 0 = -5*l - 5*g + 2 + 43. What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**0\/u)*(u**(-2)*u)\/u)\/(u*u\/(u**(-1)*u)*u)**(46\/7) assuming u is positive.\nAnswer: u**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(2 + 0)*3. Suppose i = i - d*i. Suppose -5*k = -5*o + 100, -5*k + 8 + 7 = i. Solve w = -w + 2*u + 14, -u + o = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62203964 divided by 4.\nAnswer: -15550991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 17*o**2 + 76*o - 9. Calculate a(-9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -3\/2, -22, 2.\nAnswer: -22, -2, -3\/2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/728)\/((-1)\/8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**2 + 3*s**2 - 4*s**2 + (-4 + 3 + 2)*(2*s**2 + 2*s**2 - 6*s**2) + s**2 + 2*s**2 - 2*s**2 as r*s + g*s**2 + p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 10*n**2 - 13*n + 27. Let i be y(11). Let v be 2 - 0 - (7 - 132\/11). Solve v = -12*x + i*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 3*r + 66. Let h be i(7). Let z be ((-982)\/(2 - 0))\/(-1). Is z + h*(-4 + 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 4*q**7\/21 + 11*q**3\/6 - 7*q - 9. Let o(y) be the first derivative of u(y). What is the second derivative of o(j) wrt j?\nAnswer: 160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-3\/10)*i)*i*i)**(-1\/51) assuming i is positive.\nAnswer: i**(-23\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - y**2 + 1. Suppose 0*o - 1 = -o. Let s(f) be the first derivative of -f**4 + f**3 - 2*f + 5. Give o*s(q) + 3*h(q).\nAnswer: -q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11138\/19 or 0.00794?\nAnswer: -11138\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01123255 to five dps.\nAnswer: 0.01123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657531647.\nAnswer: 3, 727, 84443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 + 7 - 14*w - 46*w**2 - 4 wrt w?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4086437922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1216)*-6 + -1)**2 + (1*sqrt(1216) + sqrt(1216))**2*-4*5.\nAnswer: -53503 - 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.675 - 21. Let r = o + 0.062. Let j = 0.063 + r. What is the third smallest value in 6, 5, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2264072.\nAnswer: -1\/566018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, 2, 4, 0.8, 0.03, 4.662?\nAnswer: 4.662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21454541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 331836 divided by -4\nAnswer: -82959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3282 and 1335.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92351, 184678, 277023, 369386, 461767, 554166, 646583?\nAnswer: 739018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222929 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*110775\nAnswer: -88620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13502839?\nAnswer: 7, 1231, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5\/2, 1.1, 0, -0.043, -1\/6 in descending order.\nAnswer: 5\/2, 1.1, 1, 0, -0.043, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 106574.6 hours?\nAnswer: 6394476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 2*x**2 - x - 3. Let q be g(3). Suppose o - 47 = 3*h, -2*o - 218 = -6*o - q*h. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 12*a**5 - 3*a**4 - 72*a**3 + 114*a**2 - 60*a + 9 = 0.\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 143*h**2 + 538*h - 2509. Determine l(-139).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + (3 - (-3 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4 + (0 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l - 6. Let u(w) = 2*w - 2. What is j(b) - u(b)?\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238225982 + -27.95.\nAnswer: -238226009.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1814 divide 824432062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 405*i**3 - 2*i**2 + 14*i - 3. What are the prime factors of w(3)?\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z. Let d(s) = -697*s. What is r(d(l))?\nAnswer: -7667*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4 + 78*y**3 - 977*y**2 + 1968*y + 3024 = 0?\nAnswer: -1, 4, 12, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 468583047?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128, -272, -418, -566?\n\"Answer: -m**2 - 141*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17519616.\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23977550 to the nearest integer?\nAnswer: 4897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 599999*s - 2. Let k be m(-2). Round k to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = -0*q. Suppose -q*n = -3*r, 5*r + 2*n - 4*n - 12 = 0. Suppose -2*z + 3*c = -8, r*z + 5*c - 31 = 7. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 15*h + 4*h - 6*h - 4*h.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -888316.7 to the nearest one thousand.\nAnswer: -888000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/28 + (-129)\/172.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001 + 101000001000001?\nAnswer: 100111111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 4. Calculate h(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3475 by -11.\nAnswer: 3475\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -2*q + 3 - 341\/2*q**4 - 2\/3*q**3 - q**2. Let l be t(-3). Round l to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-six fifths of a kilometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000173132 rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 200*c + 1820. Is h(30) a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7))**(-1)*(((b*(b*b\/(b**6*b))\/b)\/b)\/b)\/(b*b**(2\/5)*b) assuming b is positive.\nAnswer: b**(-319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2 (c) -0.05 (d) 0.2 (e) 2\/11 (f) -5 (g) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540\/30 + 1 + 1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 55\/(-4)*(-2)\/(-5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4846.821ns?\nAnswer: 4.846821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39936 + -20947. List the prime factors of d.\nAnswer: 17, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -351 - -367. Calculate the smallest common multiple of m and 154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 2*p - 0*p - 24, 2*p = -4*z - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-744)\/180 - (-1 + 3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**5\/420 - 5*s**4\/84 + 3*s**3\/14 + 33*s**2\/2 - 27. Let k(g) be the second derivative of a(g). Factor k(z).\nAnswer: (z - 9)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02687 + 5.02687. Which is the third smallest value? (a) 4 (b) -0.4 (c) k (d) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/36)\/(38\/(-234) - 14\/(-91)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-61195)\/(-2)*(-4)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*j - 157*j = -64. Let a(t) = t**3 + 7*t**2 + 3*t + 5. Let v(o) = -o**3 - 11*o**2 - 5*o - 8. What is j*a(i) - 5*v(i)?\nAnswer: -3*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -130 times -0.3\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 5*x**2 + 12. Give y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24216*m = -24219*m - 12, -6 = -3*r + 3*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 4, h: 4, i: 4, j: 4}. What is prob of picking 2 i and 1 j?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 552614788?\nAnswer: -552614788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*5\/(-30))\/((-29)\/((-116)\/(-8))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + i)*(6291 + 6032 - 6504 + 15868).\nAnswer: -21687*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.354 + 0.059. Let b = d - -14.995. Let n = 14.5 - b. Is n < 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8\/15, -0.4, 5, -5, -4 in decreasing order.\nAnswer: 5, 8\/15, 0, -0.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/396)\/(1\/(-21)). Let l = 116\/429 - q. Which is the nearest to -0.1? (a) l (b) 0 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10066241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2445, -1, 12 in increasing order.\nAnswer: -2445, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(((sqrt(200) - sqrt(8)) + -5)**2 + 5)*1.\nAnswer: -320*sqrt(2) + 632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 427 - 427. What is the closest to h in -0.1, -1\/8, -2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 10. Suppose 3*g + 1 = f*g. What is the common denominator of 93\/4 and ((-79)\/12)\/(g\/2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {y: 2, j: 1, c: 1, n: 2, t: 2, o: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 797456 and 187?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-187)\/11*((-12)\/(-18))\/(-1).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -311 or 7\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o*o\/(o\/(o\/((o\/(o**(-3\/2)\/o))\/o))*o))\/((o**(-25)\/o)\/(o\/o**(1\/11)*o*o)) assuming o is positive.\nAnswer: o**(383\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2699 take away 125592036287?\nAnswer: -125592033588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 5 (c) 0.3 (d) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4889.87 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**3 - 4*o**2 + 5*o - 2. Let d be c(1). Factor -d*h**2 - 2\/3*h + 0.\nAnswer: -h*(9*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 284 and 20.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/4 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millennium in decades?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*z**2 + 96900*a**2*z - 31860*a*z**2 + 2*z**2 + z wrt z?\nAnswer: -4*a**2 - 63720*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9925, -79326, -267703, -634546, -1239345, -2141590, -3400771?\nAnswer: -5076378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5345 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 354872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 l, and 1 v when four letters picked without replacement from vylzglltvytzzlt.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10029 + 0*t + 2*t + 20026 - 9998.\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 8583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 27\/4 of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -1 - (313 + -325) - 27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 1523975*w - 7619883. Give k(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r**3 + r**2 - 1. Let f be d(1). Suppose 3*y + 17 = -x - y, 2*y + 10 = 0. Suppose -5*l + 2 = 3*k - 1, x*l - f = 2*k. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8229 - -8249. What is the smallest common multiple of s and 248?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5))**(-19\/4) assuming x is positive.\nAnswer: x**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0223 + 0.2223. Which is the second smallest value? (a) -0.2 (b) -3 (c) t (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:22 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 22. Suppose g = -3*f + n + 12, -5*f = -4*g + 52. What is the remainder when 49 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -2\/7 (c) 0 (d) -4\/3 (e) -2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-8)\/192*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420227321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-seven fifths of a milligram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1370919607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11817.786 take away -1.2?\nAnswer: -11816.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -533, -430, -271, -38, 287, 722?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 12*u = 23*u - 414 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5760) + sqrt(5760)*-2)\/(sqrt(80)\/(sqrt(10)*-2) + sqrt(8)) + (-2*sqrt(90)\/sqrt(2))\/(sqrt(18)\/sqrt(2)*4).\nAnswer: -49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(252) - (sqrt(448) + -3).\nAnswer: -2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -249 - -139. What are the prime factors of (g + 2)\/(-2) + 2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:46 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 349*d + 8272. Calculate t(-116).\nAnswer: -5300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - q + q + (3 - 1 - 4)*(3*q - 3*q + q) + 0 - 2*q + 0 - 3 - q - 1 + 6.\nAnswer: -4*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2116 divided by 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*s - l - 2*l, 3*s - 2 = 4*l. Let v be 2\/(-4) - (8449\/s)\/7. Suppose -7*b = 2*b - v. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 7. Let o be (3 + -3)\/(2\/(-1)). Let k be 0 - (1 + (-6 - 2)) - o. Calculate the remainder when 41 is divided by d(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + 1. Suppose 4*w = -2*m + 6*m - 10320020, 4*w = -t*m + 5159980. Round m to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225 - -229. Let z be (3\/s)\/(33\/88). Solve z - 14 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-717)\/(-9) - -6). Suppose 0 = 4*q + c - 827, 4*c + m + 338 = 4*q. What is the remainder when q is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9790273151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctlgsulclucs. What is prob of picking 1 g, 2 c, and 1 l?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.791738 millilitres to litres.\nAnswer: 0.001791738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 - 32*q**3 - 59 - 179*q**2 + 507*q**2 + 32*q - 268*q**2 + 4*q**4.\nAnswer: 4*(q - 4)**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-8) + -6 + 2. Solve -2*r = -2*b - 18, u*b + r = -0*b - 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + -3*(-4*(0 + sqrt(1539)) + sqrt(1539) + sqrt(1539) + (sqrt(1539) - ((sqrt(1539) - (sqrt(1539) + (1 + sqrt(1539))**2) - sqrt(1539)) + -5))).\nAnswer: -4635 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 415*f + 2. Let m(i) = 835*i + 5. Determine -6*m(v) + 13*x(v).\nAnswer: 385*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3633, -4909, -7037, -10017, -13849, -18533?\n\"Answer: -426*w**2 + 2*w - 3209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25843 and 35002.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705422968 to the power of 1\/2, to the nearest integer?\nAnswer: 41297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/m**(-3\/5))**(-11) assuming m is positive.\nAnswer: m**(297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/873 and -17\/6?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-6 - (-3)\/(-1)). Let b be (-2 + 7)*133\/n. Let v = b - 47. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 90\/(-10)*(-1 + -40). What is the highest common divisor of u and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5920.7 + -5921. Let z be (27\/12)\/((-2)\/(-8)). Let g = z + -37\/4. What is the third biggest value in g, v, 7\/2, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x = -20*x - 4*g - 12, 0 = -5*x - 5*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 5:45 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4493 by 3.\nAnswer: 4493\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**3 + 40*w**2 - 98*w. Let g(h) = 4*h**3 - 27*h**2 + 65*h. Let u(v) = -8*g(v) - 5*j(v). Find i, given that u(i) = 0.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*t**4*y**2 + 158640*t**4 + 87*t**2*y**2 - 10*t**2 + 2*t + 407*y**2 wrt t?\nAnswer: 1560*t*y**2 + 3807360*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 - -2 - -2 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.98653 rounded to 1 dp?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 9) + 5 + (3 - 33)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 19*k**3 + 4*k**2 - 4*k + 13. Let a(j) = 6*j**3 + j**2 - j + 4. What is 7*a(y) - 2*c(y)?\nAnswer: 4*y**3 - y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55590 and 357?\nAnswer: 389130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 0.2, -17, 6, -15 in decreasing order.\nAnswer: 38, 6, 0.2, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11011101110111111100 (base 2) to base 16\nAnswer: -dddfc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 848 - -3?\nAnswer: 84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g - 650. Let m be 17 + (2\/10 - (-364)\/g). Solve 4*x + 2*o = -2*o - m, 1 = x - o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*k + 1. Let s be -3*-3*(-1)\/k. Let h be -2 - (-3 + 25\/10). Which is the closest to -7? (a) h (b) -0.3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17629, 33839, 50049, 66259, 82469, 98679?\nAnswer: 114889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + x - 29. Let u be d(-4). Let o(n) = -n**3 + 6*n**2 - 4*n - 4. Let t be o(5). Which is greater: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by ((-4)\/(-18)*-21)\/((-2)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {m: 5, c: 11, w: 1}?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 2*c**4 + 2*c**3 + (2 - 1 - 3)*(2*c**4 - c**4 + c**4).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 7*z**3 - 6*z**3 + 0 + 0 - z**4 to o + w*z**3 + n*z**2 + a*z**4 + b*z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 2 (b) -5 (c) -0.4 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 23*t**6\/5 + 703*t**4\/12 + 5*t - 1. What is the third derivative of s(u) wrt u?\nAnswer: 3312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313933 minus 1071?\nAnswer: 312862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6346 = -5*r, -15*r + 13*r + 2532 = 2*i. What is the remainder when r is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -314) + 1 + 2. Suppose -x = -s - s. Suppose 0*f + 2*f = s. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**7 + 11*c - 1\/20*c**5 + 0*c**3 - 1\/6*c**4 + 7 + 17\/28*c**8 + 0*c**6 - 7*c**2. Find the third derivative of p(f) wrt f.\nAnswer: 4080*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l + 1. Let i(x) = 3*x**3 - x**2 + 5*x - 5. Let n(u) = i(u) + 5*t(u). Find the third derivative of n(p) wrt p.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2\/5 - 246548*m\/5 + 33947448\/5 = 0.\nAnswer: 138, 61499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3492 and (-15)\/(-23280)*(168 + -2).\nAnswer: 6984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2270*d - 2275*d - 15 = 0. Let v(o) be the second derivative of 1\/3*o**3 + 1\/12*o**4 + 1\/2*o**2 - 2*o + 0. Calculate v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 14*d + 3. Let b = 3213 + -3210. Let y(l) = 42*l + 10. Determine b*y(k) - 10*m(k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2934, -11726, -26384, -46908, -73298, -105554?\nAnswer: -143676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2*-14 + 0. Let p(g) = -g + 9. Let y be p(o). Solve 5*q + 9 = -n, 0 = 4*q - n + y*n + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 692 and 1557.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - q)*(30*q - 36*q + 52*q) in the form l + s*q**2 + g*q and give s.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.21072m to centimeters.\nAnswer: 2721.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*v = -936*v - 889*v + 32824 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-708*y**2 + 2*y**3 + 708*y**2)*(2 + 9*y - 4 + 7*y).\nAnswer: 32*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1833.34 - -7582\nAnswer: 5748.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfufuffdllccff. Give prob of sequence cdfc.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2229763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 - 5*r**2 + 6*r - 3. What is p(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 4*t - 3*t - 16*t + 1 to the form s*t + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2379195594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55525?\nAnswer: 5, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -239522 - 166?\nAnswer: -239688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijd when three letters picked without replacement from nsssnnsdnidnjnns.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509724 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7502 and 18264.\nAnswer: 68508264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/9 - 998*g**3\/9 - 6019*g**2\/9 - 5020*g\/9 = 0 for g.\nAnswer: -5, -1, 0, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 11 = -k - k, 5*g + 5 = 0. Let o be 340 + -2 - (0 - 1). Suppose -2*s + 2*n - 3*n + o = 0, -k*s + 658 = -2*n. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.6 - -5. Let d = -2 + 2.9. Let v = b - d. Sort -1\/3, 3\/7, v in decreasing order.\nAnswer: 3\/7, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + ((sqrt(133) - sqrt(133)*-2 - sqrt(133)) + sqrt(133))*-2 - sqrt(133))\/(2*sqrt(63)) - (sqrt(684)*-3*1 - sqrt(684))*-1.\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65730 and 4410.\nAnswer: 1380330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294060 and 20128320?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2043 or 1872?\nAnswer: 1872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 g, and 1 j when four letters picked without replacement from {g: 2, s: 4, j: 1, d: 3, l: 1, f: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8742480 a multiple of 998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**7\/2100 - g**6\/450 - g**5\/100 + 12*g**3 + g**2 + 35. Let o(z) be the first derivative of w(z). Factor o(c).\nAnswer: 2*c*(c - 3)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 2*i**2 + 3*i - 1. Suppose 61 = 3*q + g + 53, 4*g = -4. Let l(w) = -5*w**3 + 4*w**2 - 7*w + 3. Calculate q*l(b) + 7*p(b).\nAnswer: -b**3 - 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is (-606)\/(-14544)*(-552)\/(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5*3\/(-255)*-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.274233271 to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 9*f = -18. Let t be 54\/15*(-10)\/3. Calculate the remainder when (-3)\/4 - 285\/t is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*x - 18. Let d(h) = -h - 1. Let p(y) = 9*y + 6. Determine x*p(k) + 6*d(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/22 - 50*p**3\/3 + 19312*p**2\/11 - 110976*p\/11 - 2387. Let h(u) = 0. What is u?\nAnswer: 3, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/(-24 - 243169\/(-10132))?\nAnswer: 2, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, 4.\nAnswer: -12, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 27273*c**3\/4 - 115911*c**2 - 1036323*c\/4 + 57\/2 = 0. What is c?\nAnswer: -2, 1\/9091, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*k**2 + 134*k**2 - 101*k**3 + (2*k - k**2 - 2*k)*(0*k - k + 2*k).\nAnswer: -102*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o**2. Calculate z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2486879*m**3 - 10963116*m**2.\nAnswer: -14921274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v + 20 = 0. Let s be ((-66825)\/v)\/((-2)\/(-1424)). Let o = s - -381030. What is o rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5 = m, -m - 5*q = -13 - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*-75.3\nAnswer: -150.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Let r(x) = -x**3 - 8*x**2 - 4*x - 7. Let z be r(-8). Suppose 0 = 6*m - 47 - z. Solve -2*d - 15 = -7*d + s, t*d = 2*s + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -2.79 (c) 1\/5 (d) 1 (e) -1\/20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, f: 9, n: 2}. Give prob of sequence nf.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11059 (base 11) in base 3?\nAnswer: -210222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4\/5, -128, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, 1\/16, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 256\/12 - 1\/3. Suppose -y = 2*i - 43 - o, 2*i + 60 = y. Suppose 4*w - 2 = y. What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 43 = 5*h, 4 = -2*v + 4*h + 36 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 19. Solve 2*p - k - 10 = -y*k, k = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6396.37193 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, i: 1, s: 1}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t + 3. Let g(b) = 1. Let x(o) = 2*g(o) - j(o). Let m be x(-3). Let i(y) = 2 + 8 + 3*y + 0*y. What is i(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/3219972 and -37\/20929818.\nAnswer: 41859636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, 4, 34809 in decreasing order.\nAnswer: 34809, 12, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -2*i + 12, 3*i - 96 = 3*r - 123 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*q - 14915*q**2 + 14915*q**2 - 2*q**3)*(-4*q + q + q).\nAnswer: 4*q**4 - 142*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/5 (b) 16 (c) 0.17 (d) 0.5 (e) 1205 (f) 0.4 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13075466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.112 - -13. What is i rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*w + 387*w = -8892 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/29 - 89\/290. Sort -0.4, d, 0, 2.\nAnswer: -0.4, d, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - o + 5*o - 1136 = 0, 2*w = -4*o + 572. Calculate the common denominator of 9\/34 and w\/(-24) - (0 + 2).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 34139532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 - 8214 + 8214 - 24413*g**2 + 24413*g**2.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 243 and 4356?\nAnswer: 1058508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -g - 0*s + 7, 3*s + 7 = 5*g. Suppose d + 5 = h, 0 = 4*h - g*h + d - 7. Solve -4*b - h = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1158688569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 12, 0, 3.1, 4.\nAnswer: -0.3, 0, 3.1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25343572, 1, -6\/7?\nAnswer: -25343572","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttvtttttttttti. What is prob of sequence tvt?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -29.1. Which is the nearest to l? (a) 0.3 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.59999872 - 1.6. Round x to 7 dps.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 293 - 387 = -5*b, -3*g + b = -420. What is the remainder when g is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -53163, -64233, -75303, -86373, -97443, -108513?\n\"Answer: -11070*u - 42093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kzv when three letters picked without replacement from zzzvjekvze.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*y + 3*u, -5*y + 2*y - 2*u - 14 = 0. Suppose -3*r - 23 = -3*m + 7, 0 = 5*m - 25. Put r, 13, y, 5 in ascending order.\nAnswer: r, y, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sym when three letters picked without replacement from {s: 6, m: 7, y: 4}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, -30, 2, -3\/4 in descending order.\nAnswer: 17, 2, -3\/4, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 390\/(-117)*(6\/5)\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111 (base 2) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 50 = 50. Solve d = -12*g + 8*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3\/188, 0.3, 19.184?\nAnswer: 3\/188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*l*t**2 + 2*l*t - 55*l - 3*t**4 wrt t?\nAnswer: -90*l - 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132165 and 54.\nAnswer: 264330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 + 6*l**3 + 2 + 13*l**2 - 7*l**3 - 14*l**2 as b*l + d*l**3 + q*l**4 + n*l**2 + p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 48*q + 1948 = 0, 12*a + 10*a - 27*a + 4*q = -2*a + 152 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/(-107*114\/(-1341780)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.239404 meters to millimeters.\nAnswer: 5239.404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4204 rounded to two decimal places?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2218189 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-20)\/12 + 6. Let k be 1\/((-3 + 2)\/(5\/(15\/(-99)))). What is the highest common divisor of k and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000213441 rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v, -37*x + 5*v = -41*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 2*n - 21. Let m be k(5). What is the remainder when 368 is divided by -3*(80\/m + 3\/(-9))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319354592?\nAnswer: 2, 71, 367, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404716889?\nAnswer: 1907, 212227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -324.3 (b) 4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 6 = -266 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46452725, -92905450, -139358175, -185810900, -232263625?\nAnswer: -278716350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -12\/11 (b) -1\/2 (c) -27\/5 (d) 0.403\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4 = -k, 3*k + 153 = -4*o + 151 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = i + 1, -3*g + 6 = -2*i. What is the remainder when 5 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52950093 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2368*y - 4830. Determine v(2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 123077\nAnswer: -24615.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 166417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjijaijjjxjjjjjjj. Give prob of picking 1 j, 1 i, and 1 x.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnkr when four letters picked without replacement from {p: 4, n: 3, f: 2, k: 3, r: 2, d: 2}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23146, -92620, -208426, -370564?\nAnswer: -579034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - g = 129, 4*j = j - 4*g + 92. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -4*c + 4*c - 3*c**3 - 22. Let s(t) = -3*t**2. What is i(s(k))?\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8979.\nAnswer: 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3)*-1 + -5 - (1*sqrt(363))**2).\nAnswer: -365 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1747*z**2 + 4*z + 751. Let k(i) = -3495*i**2 - 9*i - 1528. Let y(w) = 4*k(w) + 9*t(w). Differentiate y(j) with respect to j.\nAnswer: 3486*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zttatzttzttzzaazaaz. What is prob of sequence ztaz?\nAnswer: 245\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -439, -558, -765, -1066, -1467, -1974?\n\"Answer: -c**3 - 38*c**2 + 2*c - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ssjjssjjsjjjjjjjjs?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010100111111100 (base 2) to base 14.\nAnswer: 1db2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45543.\nAnswer: 3, 17, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*s - 212*s = 20*s + 233 - 1005 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1733.8 - -1888. Let w = r - 154. Let g = 35\/18 - 4\/9. Which is the second smallest value? (a) w (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90009 divided by 1295\nAnswer: -90009\/1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/360 + c**5\/120 - c**4\/24 + 2*c**3\/3 - 8*c**2. Let k(n) be the first derivative of f(n). Determine k(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -46*i**7\/3 - i**6\/30 - 955*i**4\/12 - 1914*i. What is the third derivative of a(r) wrt r?\nAnswer: -38640*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7*h - 298. Let t be n(37). Which is greater: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 19. Let w = -37 + 26. Let g = w - -8. Sort 1, h, g.\nAnswer: g, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2144080 and 1876070?\nAnswer: 15008560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + (-216)\/(-45) + 3. Which is bigger: w or -13.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 537, 1095, 1597, 2031, 2385, 2647?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 290193, -15, 71 in descending order.\nAnswer: 290193, 71, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31946?\nAnswer: 2, 15973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 88 - 31 + 6 - 14*m + 4*m. Calculate z(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, v: 1, e: 3, a: 2}. Give prob of picking 1 a and 2 e.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*((-2*x - 2*x + 3*x)*(-2 - 3 + 1) - x - 3 + 3 + (3*x - x + 0*x)*(-2 + 4 - 3) + 0*x - 2*x + 3*x - 3 + 3 + 2*x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 4*u - 6. Let v = -809 - -809. Suppose v = 29*f - 10*f + 95. Calculate a(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(459)\/(sqrt(1089) + sqrt(1089)*3 + sqrt(1089) - sqrt(1089) - sqrt(1089)))\/((sqrt(3) + (4*sqrt(300) - sqrt(3)))*6))**2.\nAnswer: 17\/62726400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2. Let u(b) = -13638*b + 1. Give u(y(l)).\nAnswer: -54552*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -80*m**3 + 11*m**2 - 143*m + 11. Let d(y) = -20*y**3 + 3*y**2 - 35*y + 3. Give -22*d(o) + 6*j(o).\nAnswer: -40*o**3 - 88*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36681 minus 26032500.23?\nAnswer: -26032499.86319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195080449 and 8727?\nAnswer: 2909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-8) + -6 + (-10)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7 - (-50)\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9328267867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6748*f + 40 = -6753*f + 5*k, -f = -5*k + 12 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-3)*(-2)\/(-4). Let p be c\/8*-2*-2. Which is smaller: 1\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.181 + 0.032. Let j = m - 9.751. Let l = -9.9000305 - j. Round l to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5\/5 + 112*x**4\/5 + 856*x**3\/5 + 128*x**2 - 4316*x\/5 + 2704\/5 = 0 for x.\nAnswer: -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10655000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 25830*i**2 + 1210276*i - 8801712.\nAnswer: 2*(i - 12868)*(i - 38)*(i - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 + 363*s + 9*s**2 - s**3 + s**4 - 2*s**2 - 365*s to o*s + n*s**4 + d*s**2 + b + c*s**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -5 (c) 4 (d) 1881 (e) 0.7 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1708*k**3*p*x + 22*k**3*p - 2*k**3 + 366*k**2*p + 9*k*p**3*x - 22*p**3 + 2*p - 237*x wrt x.\nAnswer: 1708*k**3*p + 9*k*p**3 - 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 58\/(-15) + (-188)\/(-47). Which is the third smallest value? (a) 1 (b) -0.4 (c) k (d) 4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.37802 rounded to zero dps?\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vls when three letters picked without replacement from vssll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.418945 to one dp.\nAnswer: -66.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -7) + 52 - (3 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + 18. Let c = q - 46. Let b be -1*(-4)\/12*(-12)\/(-2). Solve -c*v - 2*p = -p - 11, b*p = v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 4:37 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 7*r = -14*r - 238 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/4 of a millisecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -32.5, 704, 28 in decreasing order.\nAnswer: 704, 28, 5, -32.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73676 is divided by 4603?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1982*m + 761*m - 1 + 355*m to the form g*m + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106013079, 106013077, 106013073, 106013067, 106013059, 106013049, 106013037?\nAnswer: 106013023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 3. Let d be g(-3). Let y = 309 + -313. Sort 0.5, y, d in increasing order.\nAnswer: y, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -3)*(-8)\/88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 3*k + 43 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 5*f**2 + 5*f**2)*(-3 - 4 + 4) + (-f**2 + 3*f - 3*f + (-4*f + 3*f - f)*(-6*f + 3*f - 2*f))*(2*f**2 + 0*f**2 - 3*f**2).\nAnswer: -15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*a + 78*a + 18 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 7*n**4\/4 - 35*n**3\/6 - 62*n**2. Find the first derivative of x(v) wrt v.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1442479\/137 - 10529. Let v = 43\/4110 - z. Calculate the common denominator of v and (-33)\/396*(-2)\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -33. Let a be (-2)\/8 - q\/(-20). Factor -d**2 + a + 1\/2*d**3 + 1\/2*d.\nAnswer: d*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -22*k**2 + 6*k + 49. Let j(y) = -62*y**2 + 18*y + 140. Calculate 3*j(p) - 8*v(p).\nAnswer: -10*p**2 + 6*p + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 - 0.52. Let j = w - -4.1. Which is bigger: -1\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3066, 30\/19, -5, 2\/3 in descending order.\nAnswer: 3066, 30\/19, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 120, 122, 124, 126?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 811 + 47. Suppose c = 2*c - o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -138 + 194. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206201 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*((-9620 + 10*o**2 + 9620)*(0*o**2 - 3*o**2 + 5*o**2) + (-o**2 - 3 + 3)*(0*o**2 - o**2 - o**2)).\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1873, -2242, -2611?\n\"Answer: -369*k - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 3*p - 3*p)*(0*p + 0*p - p**2) + 86*p**4 - 25*p**4 + 13*p**4.\nAnswer: 73*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -2402\nAnswer: -6\/1201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -1) + -1 - -1. Let x = 436 + -434. Suppose -12 = -0*y - 3*y. Solve q*r + y = -a + r, x*r = 5*a - 31 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 6*j - 7. Let z be m(-7). Suppose -t + 52 + 94 = z. Let d = t - 104. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -679 + 1339. What is o rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 58820072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -26. Let d(n) = 1. Let f(j) = j**2 + j - 3. Calculate i*d(u) + 2*f(u).\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56670314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52441 divided by 1?\nAnswer: 52441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + ((sqrt(500) - 1*(sqrt(500) + -1))**2 - (sqrt(500) + (sqrt(500)*-2 - sqrt(500)) + 0))*-2).\nAnswer: -2 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 + 3*o**2 - 2*o**2 + 0*o + 0*o + o**2 + (1 + 0 + 0)*(-3*o**2 + 3*o**2 - 2*o**2) + 486*o**2 - 1061*o**2 + 519*o**2.\nAnswer: -53*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12185*h - 604079 + 1225101 + 503084 = -13957*h for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 813.\nAnswer: 8130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 44385 (base 9) to base 12\nAnswer: 15088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -347 - -235. Let c = -109 - y. Let k be (-1)\/(-2)*(0 + 0). Solve k = c*p - 2 - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18336 - 18335.95. What is the second biggest value in 2\/9, m, -4\/23, 3\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/36 + 1\/4. Let p be 19\/(d - (-4)\/4). Calculate the highest common factor of 57 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.116 and -599.5.\nAnswer: -599.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, s: 2}. What is prob of picking 3 k?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 29. What is the nearest to o in 3, 7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 24, -4, 9, 5, -20.\nAnswer: -20, -4, -1\/3, 5, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:36 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 73*m + 1425 = 13*m for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-6))\/1*(-8)\/44*-11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 + 2176 = 11*m. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvmvzm. What is prob of sequence mv?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qesssezsqz. Give prob of picking 1 e and 1 z.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13 - 1210\/(-90)) + 928\/18. Calculate the lowest common multiple of 8*21\/56*g\/3 and 9.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 9*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 - 2 = 0. Suppose -3*y = a*y - 80. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/38)\/((4 - 8)\/(-4)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2101 (base 6) to base 5\nAnswer: -3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k - 3. Let s(d) = 21*d - 7. Give -2*s(y) + 5*w(y).\nAnswer: 8*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3134 - 1571 + 2*s - 1556 - 101*s**2)*(5*s**3 - 4 + 4).\nAnswer: -505*s**5 + 10*s**4 + 35*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 8*z + 2. Let m be g(-8). What are the prime factors of 16 + (2 - m\/(-2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -53. Let l = -3 + 4. Which is smaller: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216876372 divided by 599106.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(sqrt(27) - (sqrt(27) - (-1 + sqrt(675))**2) - (sqrt(27) - (sqrt(270) + (sqrt(270) - 2*sqrt(270) - sqrt(270)) + sqrt(270))\/sqrt(10) - sqrt(27))).\nAnswer: -30*sqrt(3) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, a: 1, p: 1, h: 1}. Give prob of sequence ap.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9655.1 + -9655. Suppose 4 + 3 = -v. What is the nearest to k in v, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/7, -0.15, -1\/800, 41 in descending order.\nAnswer: 41, -1\/800, -0.15, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**4\/4 + 5*l**3\/3 + 7*l**2\/2 - 10*l + 1. Let h = -255 + 260. What are the prime factors of i(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3. Let j(o) be the second derivative of o**5\/2 - 5*o**4\/3 - 4*o**3 + 72*o**2 - 2*o + 15. Let v(g) = -j(g) + 12*r(g). Solve v(f) = 0 for f.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**5\/60 - o**4\/6 + 2*o**3\/3 - 5*o**2. Let h(s) = -5 + s + 4*s + 0*s - s**2 - s**2. Let i(q) = 4*h(q) + 5*j(q). Factor i(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1 - 3 - 104*s + 107*s. Let m = 5 + -2. Calculate l(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157101 at least as big as -21\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 338 + -338. Let z(s) = 2*s**3 + 3*s**2 + s - 2. Let j be z(-2). Let u = j - -24. Solve 5*w + u + 4 = h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -124 and 0.2.\nAnswer: -24.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 124 divided by -114\nAnswer: -62\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -790 + 392 + 398 - 5*k**2. Suppose -4*t + 28 = -4*j, 3*j = -0*t + t - 23. Let v(z) = 7*z**2. What is j*o(n) - 5*v(n)?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7442, 63 in decreasing order.\nAnswer: 63, 2, -7442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180088036*d**6 - 10*d**2 + 1477352.\nAnswer: -21610564320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 324769?\nAnswer: 4\/324769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -231, -453, -667, -867, -1047, -1201?\n\"Answer: u**3 - 2*u**2 - 223*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20373241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8410202573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 9*w**6\/40 - w**5\/20 - 5*w**3\/6 + 20*w**2 - 23*w. Let n(g) be the first derivative of f(g). Differentiate n(a) wrt a.\nAnswer: 81*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2935*l - 3165*l + 5848*l to h*l + s and give h.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2369338 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/(-2050) + (-24)\/(-180) and 121\/410?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 3 - 5. Let l be 4\/(-14) + (37\/7 - g). Let -50*n**2 - 12*n**4 + l + 58*n**2 + 6*n - 56*n**3 + 36*n**5 + 14*n = 0. What is n?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2*o**3\/3 + 2. Let s(y) = 3*y - 4*y + 3*y. Determine s(z(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 67. Sort -1\/4, -5, 0.5, n in ascending order.\nAnswer: -5, -1\/4, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*o + 676. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - t = -4*b - 28, 3*t - 16 = 2*b. Solve -n = t*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 5*z + 4*z + 3*z + 4 - 2*z - 4 + 0*z + 5*z - 3*z - 1 - 2*z + 1 + (-5 - 1 + 4)*(z + z - z) + 0 + z + 0 - 4*z + 6*z - 3*z.\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.001 - -6.001. Let k = 1 - g. Which is the fourth biggest value? (a) -4 (b) k (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -1724031?\nAnswer: -1724025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13139395 to three dps.\nAnswer: 0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22373477 and 35158321?\nAnswer: 246108247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*d - 38714 - 31621 = -259*d. Calculate the highest common factor of 14310 and d.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 2 = -w. Suppose -74 - 38 = -w*t. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 + 1023*c - 2057*c + c**3 + 1034*c.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b. Let c(z) = 61*z**2 - 8*z - 209915. Calculate t(c(w)).\nAnswer: -61*w**2 + 8*w + 209915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose 278*w = 267*w + 517. Suppose 2*x - 5*x = -3, -3*f - 5*x + w = q. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101221000101020 (base 3) in base 12?\nAnswer: 1b40489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -32.9, -1\/9, 127, -5 in descending order.\nAnswer: 127, -1\/9, -5, -32.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5614, -6624, -9362, -14692, -23478, -36584, -54874, -79212?\nAnswer: -110462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -4 - (4 + 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 27.51. Let m = 0.01 + t. Let w = m - -0.8. What is the closest to 1\/5 in 3, -1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * -2204.\nAnswer: -7934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t - 23. Let o be f(-9). What is the highest common divisor of 47 and o?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-5 + 1) + 23 + -62?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 818 + 1114*w**2 + 2318*w**2 + 557*w**2 wrt w?\nAnswer: 7978*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 12\/(96\/178)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -1\/6*n**4 + 1\/6*n**3 + 4*n + 2*n**2 + 0. Let j(t) be the first derivative of x(t). Give j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/3 + 0 + 7. Let m be -15 - (-1 - -1) - (-5 - -5). List the prime factors of 70 - 1\/(r\/m).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 - 6 - 9*l**3 + 4*l**3 + l**2 + 6*l**3 - l. Let r be f(-9). Calculate the greatest common factor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 3930\/24)*-4. Let l = m - -682. Which is greater: 4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27412804 to the nearest integer?\nAnswer: 5236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2319353674 <= 2319353674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) 0.09 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514 = 112*c + 494 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/662?\nAnswer: -5\/662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**10\/10080 + v**8\/2240 + 11*v**4\/2 + v**2\/2 - 125*v + 2. Let r(h) be the third derivative of a(h). Factor r(w).\nAnswer: -3*w**3*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-81)\/2*((-1799)\/49 + 37). What is the nearest to 0 in 35\/3, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-14 - -4) - -48 - (-6 - -2 - 3).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 52a7315 (base 11) to base 4\nAnswer: 203213103031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000834 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 33*j - 483. What is x(16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37797 by 3.\nAnswer: 12599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-5 - -6)) + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkb when three letters picked without replacement from kkpkkkkpkkdbk?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8.06 (b) -1\/64 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*x - 0*v + 2, -3*x + v + 19 = 0. Let f = 189 + -192. Suppose -3*h = -5*b + 12, -b = -0*b. Sort x, h, 4, f in decreasing order.\nAnswer: x, 4, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.33649394 and 5658.\nAnswer: 5658.33649394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 - 63*n - 135. Let q be j(23). Solve 2*c = -5*f - q - 4, 4*f + 3 = c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41242071 is divided by 655.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 0.2, 11\/272 in descending order.\nAnswer: 0.5, 0.2, 11\/272, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5 + 14*z - 1 - 16*z. Let y be t(2). Solve y = -0*p - 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 237*f**2 + 2267*f + 24. Suppose -2*w = 4*r - 70, -5*w - 4*r + 155 = r. Calculate the lowest common multiple of w and p(-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167 + 199. Suppose 37 + m = 3*k. Which is the third biggest value? (a) 2 (b) 5 (c) 3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*i**2 + 243*i**2 - 1068*i**2 + 331*i**2 + 232*i**2.\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 0, -5*d - 2 = 4*j - 3. Suppose -j = 3*b - 10. Let v = 2 - b. What is the smallest value in 4, 1\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223030 (base 4) in base 7?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqc when three letters picked without replacement from qqeeqqeceeqqqqe?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -45 (b) 2\/7 (c) -1 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.037 and 13378055965?\nAnswer: 13378055964.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + (sqrt(700) - (sqrt(700) + (sqrt(700)*2 + sqrt(700))*-6)) - (sqrt(700) + (sqrt(700) - sqrt(700)*-2*5) + 1*sqrt(700) + -4))**2.\nAnswer: 600*sqrt(7) + 17534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/11)\/x)\/x**(-1\/13)*(x**(-2\/3))**18 assuming x is positive.\nAnswer: x**(-1679\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/213, 53.0049, -4?\nAnswer: -4\/213","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -562*h + 561*h + 733730, -3*o = 2*h - 1467500. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 191553.1ng?\nAnswer: 0.0000000001915531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cclccccrrrrrcllcll. What is prob of picking 1 c and 3 r?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 115 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -42. What is the highest common divisor of f and 272?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f. Let g(m) = -m. Let c(s) = -8*s. Let k(t) = -3*c(t) - 3*g(t). Determine 15*a(b) + 4*k(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/4*0 + 3. Suppose 6*r - 6 = 3*r - v*t, -3*r = 4*t - 6. Solve -r = -0*j - j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3\/3 - 14554*h**2 + 26010808*h\/3 + 17398760 = 0.\nAnswer: -2, 615, 21218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11973.6 rounded to the nearest one hundred?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 11*z = -2. What is the third biggest value in 0.5, z, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**5\/60 + r**4\/24 - 10*r**3\/3 + 33*r**2. Calculate m(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 33. Suppose 0 = 3*i - 3*a - 2*a + 145, 3*i + 115 = -a. What is the units digit of (446 - (o + -1))*(-16)\/i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69.0831567 + -183350.0869567. Let r = s + 183302. Let i = r - 21. What is i rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 257120 and 20891?\nAnswer: 3342560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18327.1 millilitres in litres?\nAnswer: 18.3271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 7. What is the units digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*k**4 + 29*k**3 + 3*k**2 - 321326*k wrt k.\nAnswer: 300*k**2 + 174*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.1, 1, -1\/8, -13?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222873 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-8 + 2))\/((-6)\/(-269628)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 1. Let z(n) = -n**3 - 7*n + 24. Let g(t) = -6*m(t) - z(t). Calculate g(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/44*(-6)\/20)\/(-1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*k**3 - 17*k**3 - 32*k + 90*k)*(0 + 2 + 0)*(2 - 3 - 1).\nAnswer: -24*k**3 - 232*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 32*o - 64. Suppose 0 = 4*f - 8, -30*m + 33*m + 26 = f. Let j(n) = -n**2 - 10*n + 21. Let u(g) = m*j(g) - 3*q(g). Factor u(z).\nAnswer: 2*(z - 6)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*h*s**3 - 7*h*s + 2*h + 3*s**5 - s**2 wrt s.\nAnswer: 60*h + 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1019, 47, 6.\nAnswer: -1019, 6, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1\/2 (b) -3 (c) -24\/10477 (d) -2\/5 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s = -35*s - b + 45, 4*b = 2*s. Suppose 3*w - 5*l = 115, -2*l - 99 = -3*w + s. Calculate the remainder when w is divided by 3\/6 + (-25)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 4*f - 73 - 79.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -2\/7, -0.039 in increasing order.\nAnswer: -2\/7, -0.039, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 3. Let y = 22 - 34. Let k be o(y). What is the highest common factor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*h - 22 = 0, 3*t - 2*h - 19 = 34. Let s be 33\/t - (-1)\/(-5). Suppose 2*m = -2*y + 20, -s*m + 0 = -4*y - 2. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 24*t - t**4 + 1800*t**2 + 0*t**4 - 2*t**4 - 1805*t**2 - 54 to o*t + a*t**3 + r*t**2 + l + h*t**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + 238\/(-28) + (5 - 10).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**4 - 754*z**3 = 0.\nAnswer: -377, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164447*r**2 + 16 - 164410*r**2 - 21 + 5.\nAnswer: 37*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 73185839?\nAnswer: 73185836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0*l**6 - 3\/2*l**2 + 23\/12*l**4 + 206*l + 0 + 0*l**5 + 1\/42*l**7 + 19\/6*l**3. What is the second derivative of h(a) wrt a?\nAnswer: 20*a**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 1839*j**2 + 3*j**4 - 9840*j - 1192*j**2 + 4636*j**2 + 4800 - 246*j**3 = 0.\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2100805 and 254709.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6719 is divided by 290.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-30))\/(5\/30). Which is the third smallest value? (a) 0.3 (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 147.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*y**2 + y + 2 - 24*y**2 + 0.\nAnswer: -(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1870705\/48 - 38975. Calculate the common denominator of h and 5\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9267 is divided by 772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 10*a**2 - 11*a - 6. Let x be y(8). Let m = -2 + x. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19833?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-3))\/((-2)\/3). What is the common denominator of 101\/4 - (6 + v) and -127\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 514066470?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(88)*-6*-3*-5)\/(2*-3*sqrt(32)\/((sqrt(4) - sqrt(64)) + sqrt(4))))**2.\nAnswer: 39600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 11 = -h + l, 0 = 3*h - 5*l + 14. Let w be h + (1 - 14\/4)*-2. Put 0, w, 5 in decreasing order.\nAnswer: 5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-15) - (-28)\/10. Let z(d) = -3*d + 2. Let y(o) = -2*o**2 + 4*o - 3. Let n be y(2). Let c = -5 - n. Let w(m) = -4*m + 2. What is c*w(f) + v*z(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -295553*u**2 + 295552*u**2 - 3*u**3 - 2*u - u**4 + 0*u**3 - 16 to the form s + b*u**3 + x*u**2 + q*u**4 + y*u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 + 36713.\nAnswer: 36693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 1)*(2 - y - 2) + 2 + 13336*y - 6966*y - 6930*y.\nAnswer: -563*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -3*u**3\/2 - 7*u**2\/2 + 28*u. Suppose 0 = 2*q - 0*q + 10. What is the tens digit of a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -7\/8 (c) 1\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*t**4 - 3*f**2*t - f**2 + 58*t**4 + t**2 - 14*t - 5 wrt t.\nAnswer: 48*f**2*t**2 + 696*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2430, -2, 3, 0, 8, -1 in decreasing order.\nAnswer: 8, 3, 0, -1, -2, -2430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385 (base 10) to base 7.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9514 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 1 = -19 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12086 is divided by 121?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 5. Let i be k(8). Suppose -5*p = i*n - 134, 195 = 4*n + 4*p + 19. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -543 + 2249\/4. Let z = 1241 - 4915\/4. Factor 8*q**2 + z + q**3 + l*q.\nAnswer: (q + 1)*(2*q + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkakykkdkqadkybakka. What is prob of sequence ya?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 157896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 20*c + 50. Determine n(21).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 10*w**2 - 93*w + 254. Let j be b(4). What is the greatest common divisor of j and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -x + 5. Let f(u) = u + 7. What is the smallest common multiple of x and f(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - -32. List the prime factors of x.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + 24*a**2 - 2*a + 4. Let l(u) = 9*u**3 + 49*u**2 - 5*u + 9. Calculate -2*l(n) + 5*q(n).\nAnswer: 2*n**3 + 22*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let s be (5 + (-3)\/3)\/2. Let k(t) be the first derivative of -t**s + 4*t**2 - 2*t**2 + t**2 - 1. Calculate k(p(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -9*d. Suppose k = -d*k. Suppose 0 = u - k*u - 20. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:36 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*3\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.445 - -2.445. Let n be 6\/15*2670\/189. Let h = n - 38\/7. Put h, 0.4, f in ascending order.\nAnswer: h, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185809464 divided by -8?\nAnswer: 23226183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 1\/7 (c) -449\/5 (d) -1 (e) -1\/11 (f) 2 (g) 0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2, -q + 4 = 4*c - 5*q. Suppose 2*o = -c + 80. Let h be o\/5 + (4 - 1). What is the greatest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -492, -497, -506, -519, -536, -557, -582?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745389483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, l: 4, e: 2}. Give prob of picking 1 l, 2 e, and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268.6 - -265.6. Let b = 5.1 + -0.1. Let c = -105 + 310\/3. What is the nearest to -1 in c, k, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2925269698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22806 and 7182?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136245 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(285)*5 - sqrt(285))\/sqrt(5) + sqrt(57))\/((sqrt(18) + sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(6)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10702 - 10702. Which is the closest to -4\/13? (a) -21 (b) w (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7366 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-36))\/((2\/(-9))\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*f - 2*r, 4*r + 35 = 2*f - 3. Sort 5, -1\/4, f.\nAnswer: -1\/4, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*m = -6, -3*p + 3*m - 7*m = 21. Let w(h) = 9*h + 27. Let c be w(p). Solve -b = -n + 2 - 10, c = -b - 4*n - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*s - 11*s - 2186964 = 0. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84034784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**4\/4 - d**3 + 4*d - 354. Determine p(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005352 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 7*b**2 - 3*b. Suppose 9 - 1 = 2*f - 2*h, 2*h + 17 = 5*f. Is 13 a factor of y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 439 - -16?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176, 1679, -0.1 in ascending order.\nAnswer: -0.1, 176, 1679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-18))\/(21\/(-441))*16\/(-28)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + o - 14 = 0, 3*o - 12 + 0 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 4 - 4)*(2 - 2 - z)*(-25*z + 23 - 23).\nAnswer: 50*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192881598.\nAnswer: 2, 3, 7, 13, 353263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5795, -5, -1, 2 in decreasing order.\nAnswer: 5795, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39861256 is divided by 21794?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 5*l**2 + 4*l - 3. Let c be s(-4). Let d be ((-160)\/c)\/((-2)\/270). Round d to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 8, 754, 4, 0 in increasing order.\nAnswer: 0, 3, 4, 8, 12, 754","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 9*n**2 + 24*n - 52. Calculate the remainder when f(-12) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:31 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/14 and 7207880 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (23 - ((-49 - -51) + (0 - 6)))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2557 and -7097477163.\nAnswer: -7097474606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -w + 2. Suppose x - q + 5 = 2*x, -4*q + 15 = 3*x. Put x, 3, w, -5 in decreasing order.\nAnswer: x, 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(7 + (-68)\/8) + (-56)\/(-6). Solve -5*v = -w - 3, 4*v + 6 - l = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 26. Suppose 0 = -y - z*y - m - 123, 5*m + 15 = 0. Is 6 a factor of (-20)\/(-25)*y\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**4\/4 + 2*g**3\/3 - 2*g - 4. Let o(r) = -r**3 - 3*r**2 + 3. Let v be (-40)\/(-16) + (-2)\/4. Determine v*o(z) + 3*q(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 10:07 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/15*(-50)\/(-20). Let w be -3*-5*(-1)\/(-3). Let q = w - s. Solve -2*x = x - q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/60 + y**4\/4 - 4*y**3\/3 + 7*y**2. Give w(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -346\/2265 + -112\/453. Let x = -3 + 2.7. What is the closest to m in -3, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115113650 divided by 2807650.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211818 or 211820?\nAnswer: 211818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - a7842?\nAnswer: -a784e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - p = -5*c + 25, 2*c = 2*p - 6. Suppose 0*m - 34 = -k + p*m, 2*m = 5*k - 242. What is the highest common factor of 175 and k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*t + 385 - 1534 = 0, -4*v + 2300 = -8*t. Solve -571*k = -v*k - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 298909336?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m*u**3 + 3*m*u + 16*m*v + u**3*v - 51*u**2*v wrt m?\nAnswer: u**3 + 3*u + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 375*n - 378 = 0. What is n?\nAnswer: -126, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -402361, -402571, -402779, -402985?\n\"Answer: b**2 - 213*b - 402149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 12*d + 23. Calculate the lowest common multiple of l(-10) and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15481, -123599, -417059, -988531, -1930685, -3336191, -5297719?\nAnswer: -7907939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 0.4, 13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1018765, 1018764, 1018763, 1018762?\n\"Answer: -j + 1018766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38838?\nAnswer: 2, 3, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b26 (base 12) to base 13.\nAnswer: -312c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.2 (c) 46\/9 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381999888?\nAnswer: 2, 3, 98251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -630120592 divided by -78765074.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2)\/(-16)*(5 + -3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 30, 8*i - 5*z - 4 = 6. Let s be (-1)\/((-1)\/12) - 0. Put i, s, 1 in descending order.\nAnswer: s, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z + 9. Suppose -y - 2*q - 8 + 9 = 0, -4*q + 7 = 3*y. Determine p(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (10 + -10 + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -p + 14, -5*p + 0*f - 4*f = -26. What is the third derivative of 111*u**2 + 117*u**2 - 234*u**p - 26*u**6 wrt u?\nAnswer: -3120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*v - 24*v - n = -1, 0 = 2*v - 3*n. Let r be -7*11*1 - 1. Let y = v - r. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38118 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5. Let z(c) = 18*c + 386. Let d be z(-21). Let q(n) = 12. Let u(t) = d*m(t) + 3*q(t). Let f(j) = j - 1. Calculate 3*f(k) - u(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 3*v - 7, 2*q + 7 = -2*q - 5*v. Let u(x) = 2*x - 1. Let f be u(q). Solve -4*o - 2 = -f*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2923*h. Let j(s) = 6*s. What is j(t(a))?\nAnswer: 17538*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*u + 49 = 45, 3*b - 5*u = -0*b + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2921000 to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4139426324.\nAnswer: 2, 11, 94077871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241054002?\nAnswer: 2, 620527001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1190079516.\nAnswer: 2, 3, 19, 557, 9371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(70\/(-8)))\/(6\/(-21)). Solve 0 = k - 1 - h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 66582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 405208 or 405205?\nAnswer: 405205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.094 - 19\nAnswer: -19.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 815498.\nAnswer: -4077490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1261267395?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 542 + -539. Let k = 2\/21 - 16\/21. Which is the nearest to k? (a) p (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(66)*-2)\/(sqrt(96)*1 + sqrt(6) + sqrt(384)*-2).\nAnswer: -20*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**4 + 53468*o**3 - 107016*o**2 - 855488*o + 1711232 = 0. What is o?\nAnswer: -13369, -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p. Suppose p = 2*x - 82 - 50. Is x\/8 - 2\/8 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5839*m - 8455*m = 0. Factor m + 0*v - 56\/9*v**3 + 98\/3*v**4 - 8\/9*v**2.\nAnswer: 2*v**2*(7*v - 2)*(21*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/5800727 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 46378 (b) -1.9 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.239 (b) 0.13 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**7\/3780 - r**4\/4 - 2*r. Let l(q) be the third derivative of v(q). Factor l(k).\nAnswer: -2*k**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 divided by -1?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(-5)\/u)\/u**(4\/7))\/(u**1)**(-1\/19)*(u*u\/((u\/u**(-1\/3))\/u*u*u))**41\/(u**4*u**1*u) assuming u is positive.\nAnswer: u**(-9251\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyw when three letters picked without replacement from {z: 5, w: 2, x: 1, o: 1, y: 1, t: 3}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 g when three letters picked without replacement from pppppfpppgpgfpppfpg?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, p: 2, g: 1, s: 4}. Give prob of picking 1 p and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -5*g**3 - 4*g**2 + 0*g**5 - 2*g + 0*g**4 + 0 - 7\/20*g**6. Find the first derivative of b(u) wrt u.\nAnswer: -126*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -5*q - 2*y, 1 = y. Suppose q*l + l = 2*n + 3, -3*n - 2*l + 13 = 0. What are the prime factors of n\/((5\/(-665))\/(-1))?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 0.3, -2, 1\/3, 61, 98 in descending order.\nAnswer: 98, 61, 1\/3, 0.3, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8114415 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: Suppose -12881 = -3*f - 2*m, 54*f - 5*m = 49*f + 21435. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3838*w**2 - 1920*w**2 - 1901*w**2.\nAnswer: 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 39\/4*n**3 + 9 - 51*n - 201\/4*n**2 = 0. What is n?\nAnswer: -1, 2\/13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iinnxxixixxninxii. What is prob of picking 2 i and 2 x?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 1\/20*m**5 - 6*m**2 + 2*m**3 - 3\/4*m**4 + 5*m + 0. Is 10 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 4*k - 4, -3*o - k = k - 18. Suppose 244 = o*w - 0*w. List the prime factors of w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1191678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -34?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11416.93 - 11417. What is the nearest to r in 0.043, -7, 0.1?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19521 - -2790.14479. Let b = p - 3092. Let l = b - -299. Round l to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 11\/6*j - 1\/6*j**3 + 1\/2*j**4 - 7\/2*j**2 = 0. Calculate j.\nAnswer: -2, -1, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9 and (-2)\/(-4) - (-456)\/(-32).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 4*k - 8. What is the second derivative of -3*x**4 + 22*x - 5*x - 4*x**k wrt x?\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50717410 a multiple of 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9.1 (b) -0.5 (c) 3 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((4\/60)\/(9\/30)). What is the greatest common factor of 621 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -409654089*j**3 + 100469650*j.\nAnswer: -2457924534*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2743 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(2\/37)*u)\/u)**(-1\/51)\/(u\/u**(-31\/3)*u**(-5)))**(19\/5) assuming u is positive.\nAnswer: u**(-227734\/9435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(5) + -2 + sqrt(1323) + sqrt(27) + 1*(-1*sqrt(3) + -1)*-2.\nAnswer: 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8283 is divided by 189?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 5. Let z(b) = 16*b**3 + 4*b**2 + 7*b. Let g(i) = -5*i**3 - i**2 - 2*i. Let p be 0\/(2 + -4) - -1*381. Let d = 383 - p. Determine d*z(f) + x*g(f).\nAnswer: -3*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + -1 + (6*(sqrt(99)*1 - sqrt(99)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -3 - -2)\/(0 + -9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-69)\/(6279\/(-130)))\/((-1)\/((-105)\/6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 2:11 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/6*(36\/(-8) - -3). What are the prime factors of (-6)\/h + 28288\/130?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -42*h**3 - 3*h**2 + h + 2. Let f be m(-1). Suppose 4*q + 0*q = f. Solve -2*u + 4*x + 8 = 0, 0*u - 5*x = 3*u + q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 95.\nAnswer: -48\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51076, -50351, -49624, -48895, -48164, -47431?\n\"Answer: b**2 + 722*b - 51799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2836\/3 - 22943\/24. Let z = 8479 + -186601\/22. What is the common denominator of l and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 11*p**2 - 8*p + 11. Let o = 7 - 18. Does 33 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/2, -72.4, -3\/8, -273?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 95779848.\nAnswer: 1\/31926616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-47)\/(-5) - 4\/10. Suppose -f + 0*f + l = 0. Calculate the highest common divisor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426274 and 524?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -417*j + 422*j - 5*n - 25, 77*j + 2*n = 69 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/7)\/(-95*(-42)\/156408))\/(4\/(-20)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2572 - 1235. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + 1*(-6)\/1. Let g = 4 - -3. Let a be 0 + g - (3 + -1). Solve -a*h + 3*n = 0, -2*h + 5 = 3*h - c*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -9*h**7\/70 + 19*h**5\/60 + 37*h**2\/2 - 6. Let u(y) be the second derivative of d(y). Find the third derivative of u(f) wrt f.\nAnswer: -648*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*r**3 + 707*r**2 - 71748 wrt r.\nAnswer: 66*r**2 + 1414*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 4*m - 10, 0 = -4*j + 8*m - 4*m - 56. What is the units digit of (j + 9)*795\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(31\/2)*x*x**(-3)*x*x*x**(-1))\/(x*x*x\/x**(1\/5)*x*x**2)**(-1\/3) assuming x is positive.\nAnswer: x**(-437\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147 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: Suppose 5 = -2*y - 1. Let k = y - -6. Solve -o - 11 = k*w, 0*w + 6 = -2*w for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25085 (base 9) in base 13?\nAnswer: 7889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 431, 1696, 3803, 6752, 10543?\nAnswer: 15176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {y: 2, z: 2, l: 4, q: 4, t: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2753075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 105459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*d - 14485, -35*z = -30*z + 5*d - 18115. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b + 1. Let s be p(2). Let y = s + 9. List the prime factors of (21 - y) + (0 - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1414113 (base 5) to base 11.\nAnswer: -20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232\/399 + -10\/21. Is p at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7706 times 0.03\nAnswer: 0.053118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 24. Let s = -604 + 606. What is the smallest value in d, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 174 - 384 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87347900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(-1\/15)*i**(-1\/4)\/((i**(1\/8)*i)\/i))**(5\/8) assuming i is positive.\nAnswer: i**(-29\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32481921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-90)*14)\/(2\/2)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/9)\/q*q*q\/q**(-2\/21)*q\/q**3*q**(4\/11) assuming q is positive.\nAnswer: q**(241\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197550 divided by -6.\nAnswer: 32925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9698 + -9695. Solve -5*b - 3*j = -3*b - 7, -n*j + 11 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(209) - (sqrt(209) + 6*-3*sqrt(209))))\/(sqrt(33)\/(sqrt(3) + sqrt(75) + sqrt(75)*2)).\nAnswer: 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8.78 - 0.15\nAnswer: -8.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -226257 + 0.57?\nAnswer: -226256.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -13*t + 14*t. Suppose t*y = y. Factor y - 2\/5*x**3 + 8\/5*x**2 - 8\/5*x.\nAnswer: -2*x*(x - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/5 + 14743*b + 5977476\/5 = 0?\nAnswer: -81, 73796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3242400 + 4030?\nAnswer: 3301430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*t - 266*t + 6897 = -402*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m + 3893 = 3479 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 1251*p - 4939. What is v(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -32*n. Suppose 4*h - 3*h = -6. Let o(g) = -11*g. Suppose -1285 = -54*b - 367. Give b*o(s) + h*x(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 422 or 27\/10?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*2\/18)\/(-1)*-33. Let o = g - -14. Let k be -1 - (-2 - (-1 + 11)). Solve 0 = -o*h - 20 + 8, h = -3*j + k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 4. Let g be k(-3). Let j(x) be the first derivative of 2 + 3*x**3 + 5*x - 2*x**3 - g*x**3. Differentiate j(q) with respect to q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/3 (b) 1\/9 (c) -0.0905 (d) 7 (e) 3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2462 + 706?\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 9, 4*c = -3*w + 833. Let l = c - 84. Suppose 6*f - l = 76. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + p + 2*p + 3*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*w**6 - 1252*w**5 - w**4 - 2*w**2 + 52*w - 2 wrt w?\nAnswer: -360*w**3 - 75120*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59091 is divided by 11799.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.036 and -649642?\nAnswer: 649642.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**2. Let k be ((-6)\/(-5))\/(24\/(-60)). Let d(m) = -4*m. Let g(a) = -3*a. Let p(i) = k*g(i) + 2*d(i). What is w(p(n))?\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(-6*3*sqrt(12)).\nAnswer: -sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1262585 kilometers in nanometers?\nAnswer: 126258500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a week in seconds?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 33383\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36637306, 36637300, 36637294?\n\"Answer: -6*a + 36637312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 2, -158536?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2486.908 to the nearest 10.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263, -1060, -2373, -4190, -6499?\nAnswer: -9288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348146 by -3194.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2 = 5*q - j, -2*q - 8 = -5*j. Sort q, -5, -7 in increasing order.\nAnswer: -7, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221619351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 3 + -5 + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*a - 4*a + 6*a + (2*a - 7 + 7)*(2 - 4 + 1).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23933467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 76?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 5*v - 5*h - 113, -2*h + 34 = v. Let n(p) = 7*p**2 + 1. Let c be n(-1). Solve 0 = x + c*x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-3*v**2 + 0*v**2 + 2*v**2)*(2 + 0 - 1).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -37, 3.\nAnswer: -37, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3005673 milliseconds?\nAnswer: 300.5673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(-25)\/g))\/g*g)\/(g*g**(3\/4)\/g))\/(g**(3\/20)\/g**(-5\/11)) assuming g is positive.\nAnswer: g**(2931\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i - 12. Let m(w) = 5*w - 3. Let b(q) = -3*q + 2. Let y(o) = -11*b(o) - 6*m(o). Calculate 4*x(t) - 11*y(t).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, -1, -60?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 25 = -15. Solve 15*s = h*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 + 3.3. Let i = w - 1.4. Let q(m) = -7*m + 68. Let n be q(10). Which is the third biggest value? (a) n (b) 2\/5 (c) i (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*z**5 + z + (0*z**3 + 3*z**3 - 2*z**3)*(-z**2 + 3*z**2 + 0*z**2) - 6*z**5 - 4*z**5 + 3*z**5.\nAnswer: -7*z**5 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -333898153*d + 74782469 wrt d?\nAnswer: -333898153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23419.57 weeks in nanoseconds?\nAnswer: 14164155936000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -3*r + 2*r + 17*v, 2*v + 24 = -6*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3295*-86\nAnswer: -283370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1412 is divided by 237.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222418?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40948)\/(-1) + 7\/140*100 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 38 = -2*h, -h - 6*k + 29 = -7*k. What is the smallest common multiple of 108 and h?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asaiaipsiasap. What is prob of picking 1 i and 2 a?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -51 (b) -3 (c) -286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 0*u**3 + 1\/90*u**5 + 0*u**4 + 0*u + 0 + 5*u**2 - 1\/360*u**6. Factor h(q).\nAnswer: -q**2*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*l**2\/5 - 2*l\/5 - 1.\nAnswer: (l - 1)*(7*l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66 + 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/2 + 20585*r**4\/2 - 113306*r**3 - 576718*r**2 - 617880*r = 0 for r.\nAnswer: -20596, -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 71 + d**4 + 5*d**3 + 90 + (2 - 2 + d**2)*(2*d**2 - 2 + 2) as l + h*d**4 + v*d + q*d**2 + o*d**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2 - 3 = 0. Suppose 3*l - 42 = 7*l - 2*k, 0 = -4*l + 4*k - 48. Let p = j - l. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 - l**4 - 5*l**3 + (4 + 2*l - 4)*(-3 + 2*l**3 + 3) + 4360*l**4 - 17521*l**4 - 5878*l**4 as q + j*l**3 + t*l**2 + c*l + m*l**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 1105 in ascending order.\nAnswer: 0, 1, 1105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 91288*r + 1. Let z(p) = 1065*p**2. Determine j(z(k)).\nAnswer: 97221720*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9)*p*p\/p**(2\/7))\/(p*p**(1\/3)*p)**(-50) assuming p is positive.\nAnswer: p**(7444\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96307 (base 12) to base 11.\nAnswer: 125373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 5. Determine q(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 303*c**2 + 19366*c - 1669. Give y(-64).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-9) + -740*4\/36. Sort m, 1, 4 in descending order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 127. Let g = b + 67. Let q = g - -19.3. What is the biggest value in q, 5, -3\/5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0 + 4*c + 0*c**5 + 29\/2*c**3 - 5\/12*c**6 + 0*c**4 - 5*c**2. Differentiate p(s) wrt s.\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2*n**7\/21 - n**4\/4 - 3*n - 4. Let a(x) be the first derivative of q(x). What is the third derivative of a(d) wrt d?\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4900 + 4900 + 138*v)*(-2*v + 0*v + v)*(-2 - 3*v + 2).\nAnswer: 414*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2\/9, 1\/783, -5\/6 in descending order.\nAnswer: 12, 2\/9, 1\/783, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659151 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**8\/84 + 2*w**7\/21 - 4*w**6\/15 + 4*w**5\/15 + 6*w**2 + 5. Let v(o) be the second derivative of p(o). Factor v(g).\nAnswer: -4*g**2*(g - 2)**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2070 is divided by 2028.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = -4673\/1998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4*d + 10. Does 31 divide (d + 6)\/(2\/124)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 3:36 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2092\/3025 - -74\/121. Sort -3, h, -1.8.\nAnswer: -3, -1.8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 31. Suppose 19 = v*m + 4. Suppose -2*h - 4*x + x - 257985 = 0, -645015 = m*h - 3*x. Round h to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405364163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-86 - (-17 + (-12 - -32) + -5))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (237 + 36*c - 237)*(c**3 + 3*c**3 - 3*c**3)*(-c + 0*c - c).\nAnswer: -72*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 4*j)*(-3*j**4 - 2*j**4 + 3*j**4) - 47*j**2 + 39*j**5 + 47*j**2 - 3*j**5 + 6*j**5 - 2*j**5.\nAnswer: 38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32074601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3*sqrt(272))**2*6*1*-4 - (sqrt(272) + (-4*sqrt(272)*3)**2 - (4 + 1 + sqrt(272) + sqrt(272)))).\nAnswer: -97915 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 12:42 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -9) + -4293 + 4187\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/7 + 2*f**4\/7 - 6*f**3\/7 - 10*f**2\/7 - 4*f\/7.\nAnswer: 2*f*(f - 2)*(f + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-6)\/((-1)\/(-1)). Let z be (3\/4)\/((-4)\/(-16)). Suppose -z*a = 3*c + a - 7, 3*a = -6. Solve 0 = -5*w + c + k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**4 + 4*y**4 - 2*y**4)*(-1 + 2 - 2) + 2*y**2 + y**4 - 2*y**2 + 43*y**3 - 29*y**4 - 43*y**3.\nAnswer: -27*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -2*x**3\/3 - x**2 + x - 2. Let t(c) = c - 1. Suppose 0 - 1 = -f + 5*a, -3*a + 1 = f. Calculate f*s(z) + 2*t(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 44 (b) -3 (c) -1\/137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 + 180. Suppose 0 = 10*a - 1341 - 129. Calculate the greatest common factor of a and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26.81? (a) 9\/56 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 733, 1444, 2139, 2818, 3481, 4128?\n\"Answer: -8*k**2 + 735*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + -1 + 10 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/2 + 14*g**4 - 91*g**3\/2 - 60*g**2 = 0. What is g?\nAnswer: -1, 0, 5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -23*l - 3. Let w(r) = 4*r - 2. Let u(y) = -j(y) - 6*w(y). Let q(g) = g - 10. Let f(b) = -3*q(b) - 2*u(b). Give f(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*v + 168 = 0, -h - 6*v = -v - 77. Suppose -h = -6*y - 21. Let w = -7 + y. Solve 0 = -w*u - 0*p - 2*p - 22, 2*u - 5*p = -5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:34 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + 103. Let r be g\/14 + 2\/(-7). Suppose -x = -5, 0*s - r = s - 3*x. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 166\/(-249)*(2\/4)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = k - 7, k - 6*k + 13 = -3*t. What is the third derivative of 0*l**4 + 2*l**k + 2*l**4 + 5*l**2 - l**2 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (-34)\/(-8) + (-39)\/(-4). Let z = w - 10. Suppose z = -8*l + l + 4683. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/1 + 6\/3. Let c(b) = -3*b - 67. Let z be c(-37). Suppose -z + u = 2*j. What is the smallest common multiple of 10 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**5\/240 - t**4\/96 - 3*t**2 + 7*t. Let m(g) be the first derivative of z(g). Factor m(q).\nAnswer: -q*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.665 - -1.865. Let o = 5\/9 + -2\/9. Which is the nearest to o? (a) t (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13)\/((-28)\/(-8) - 4). Suppose 4*s - 2*o - c = 0, -4*o - 6 = -2*s + 10. Suppose 3*f = s + 6. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 9:32 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*r + 2*r = -103, -4*z = -2*r - 322. What is the greatest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -19?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-58))\/(17\/2) + (-230)\/(-9384)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.95129 - -0.04871. What is the nearest to 1 in 0, 7\/3, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*s + 71*s - 48339. What is the greatest common divisor of s and 2882?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 10*z - 5. Let i be g(-9). Suppose -4*x + 2*t = i*t - 802, 0 = -x - 2*t + 193. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324) + sqrt(324) + sqrt(324)*-1*-5)\/(-6*sqrt(48))*-4)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -14. Let n be 2*o\/(-6)*-4. Solve c + i = n*c + 10, 0 = -c + 4*i + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*z + 55, 28*d = 23*d - 2*z + 106. Solve -34*m + 30*m - d = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -13. Suppose -i*m = -4*m - 18. Suppose 3*l = m*l. Solve -5*x + 3*a - 4 = l, -4*x - 10 = -3*x + 4*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21918 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*j - 106 = 220*j + 4*t, 3*j + 78 = -4*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 1921\nAnswer: -3842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y*y**(-1)*y)\/(y**(3\/5)*y**(2\/23)) assuming y is positive.\nAnswer: y**(151\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304 - 60*n - 67 - 934 + 120*n - 483 - 61*n.\nAnswer: -n - 2788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/13 and 40\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177122 and 1357224?\nAnswer: 112649592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**14))\/x**(-5\/2))**(-1\/18) assuming x is positive.\nAnswer: x**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 428*r - 432*r - 52 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260677 to the power of 1\/2, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11 - 8 - 4 - (-3 - -2). Let f(h) be the third derivative of -35*h**2 + 0*h**3 + 5\/24*h**4 + 0*h + i + 1\/3*h**5. Factor f(y).\nAnswer: 5*y*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148333 + 5*c**2 - 2*c**2 + 146419 to g + q*c**2 + w*c and give g.\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2394 = -20*l + 686. Solve l*n = 159*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2. Let i(j) = -9*j - 5. Let h(l) = 4*l + 2. Let x(f) = -5*h(f) - 2*i(f). Give n(x(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5123*c**2 + 71749*c - 363. Give j(14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*(-2)\/(-3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/51 and -44\/5?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0611 + -0.06491.\nAnswer: -0.00381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 123*v - 273*v + 125*v.\nAnswer: -25*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and -95?\nAnswer: -256.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 557, 560, 569, 590, 629?\n\"Answer: c**3 - 3*c**2 + 5*c + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yz when two letters picked without replacement from czsgsyg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - ((287 - 305) + (2 - -48))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350 by 89059.\nAnswer: -350\/89059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130)\/(-1*sqrt(10)) + 0 + (2*sqrt(1053) + 3 - 4*sqrt(1053)*-1)**2)*-5.\nAnswer: -189585 - 1625*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 4 + 20 = 0. Solve 0 - 14\/5*n**3 + 4\/5*n + p*n**2 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**3 - 3*g**2 - 4. Let w(i) = -i**2 - 1. Determine a(c) - 4*w(c).\nAnswer: -4*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from hrrhrhhrrrrrrh?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10191*x + 338. Let w(u) = -u**2. Determine v(w(z)).\nAnswer: 10191*z**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -25, -1, 1, 6 in decreasing order.\nAnswer: 9, 6, 1, -1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -7*l + 5*l + 46658, 4*u - 37348 = 2*l. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 2*l**3 + 2*l**3)*((-1 + 3 + 0)*(1 + 2 - 5) + 1 + 1 - 5) + (-5*l**2 + 4*l**2 + 2*l**2)*(-2*l - 4 + 4).\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -333*q**2 + 21*q + 273. Let k(r) = -83*r**2 + 5*r + 68. Let j(n) = 5*b(n) - 21*k(n). Differentiate j(a) with respect to a.\nAnswer: 156*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 64 - 19 = 0. Suppose 5*m = v, 5*c + 3*m = 4*m + 17. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000975776 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/4 of a microsecond?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 35091*x\/2 - 7742934.\nAnswer: -(x + 447)*(x + 34644)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*n - n + 12 = 0, 5*i = 4*n - 16. Solve i = -4*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767.511 rounded to 0 decimal places?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 39*q + 45*q - 80*q. Let p(g) = -g + 36. Calculate v(p(z)).\nAnswer: -4*z + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/20 + 9*y**4\/4 - 2*y**3\/3 + 4530*y**2. Give m(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*j = 4*l + 122*j - 8, 3*l + 3*j + 12 = 0. Which is the nearest to l? (a) 2 (b) 1\/3 (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2263, 4442, 6621, 8800?\n\"Answer: 2179*x + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 141*k - 5 = 145*k, 0 = -5*z - 3*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50923959 a multiple of 1037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 9*d**2 + 2*d - 11. Let g = -2141 + 2150. Determine c(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2. Let g(k) = -7*k - 11947. What is g(d(x))?\nAnswer: 35*x**2 - 11947","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 293.9747 millilitres in litres?\nAnswer: 0.2939747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 246144463 by -730399.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**0)**(-8\/3))**(-5) assuming m is positive.\nAnswer: m**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52002 (base 6) to base 8.\nAnswer: -15402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 174107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/((-3)\/(-36)). Let q(x) = i - 7 - 4*x**2 + 3. Let y(u) = -2*u. Calculate q(y(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11. Let r(w) = w. What is -d(v) - 2*r(v)?\nAnswer: -2*v - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 11:06 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*f = -351*f - r - 9, -4*f = -8*r - 60 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -699 (b) 2\/11 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*p**2 + 40*p**2 - 5 - 20*p**2 in the form y*p + h*p**2 + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/2 of a decade?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/1129 + 4656\/39515. Let a = k - -89\/140. Let c = 0.3 - 0.3. Sort c, a, -4 in decreasing order.\nAnswer: a, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/((756\/(-294))\/((-16)\/7)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358 - 149 + 211 = 20*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*o - 100, 5*o + 4*a - 16 - 140 = 0. Solve 12*q + 2*q - o = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {b: 2, t: 1, m: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3 + 0 - 2*v + 1. Let s(t) = 3*t - 8. Let z(w) = -7*o(w) - 3*s(w). What is the first derivative of z(i) wrt i?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from kykykkkykkkkkykykk?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 10*v + 15. Give p(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1.1 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 3 (c) -7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33802 + -15741. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204796995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1827\/(-6) - (-15)\/(-10). Calculate the remainder when -4 + 1\/((-3)\/k) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219810 divided by -1219810?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -87 and 732.\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 170, 181, 192, 203?\n\"Answer: 11*q + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/((-24)\/(-27))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 2. Let f(p) = -3*p**2 + 3*p - 12. Let a be f(3). Let c = 34 + a. Give y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -87, -179, -275, -375, -479, -587, -699?\n\"Answer: -2*v**2 - 86*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by 785791.\nAnswer: 18\/785791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.75 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3*198\/44. What is the biggest value in 1, -5, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2453222t in milligrams?\nAnswer: 245322200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 5*q - 2. Let j be v(4). Let f = j - 10. Solve f*y + 3*m + 14 = y, -3*m = 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f**(-7)\/f)**(1\/7)*(f**0)**(-8)*((((f*f*f*f**1*f*f)\/f)\/f)\/f)**40 assuming f is positive.\nAnswer: f**(830\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 150*q + 84. Let g be x(3). Let r = -532 + g. Calculate the lowest common multiple of 886 and r.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9627005*v**4 + 2876314*v**2 - 2*v.\nAnswer: 231048120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6266476?\nAnswer: 2, 43, 36433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -842*c = -19780 - 8848 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76557.81 micrograms in kilograms?\nAnswer: 0.00007655781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 0 + -2 + 4. Suppose 2 = -o*g + 2*g. Is (-4)\/g - (-1 - 92) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -413 and -274226.\nAnswer: 113255338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -38*q + 5*t, -129*q + 130*q - 1 = -t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245\/70*4\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473*j**2 - 1 - 4 + 5 - 152*j**2.\nAnswer: -1625*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*y + 3807 = -892*y + 264*y + 287*y for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and 3.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4 + 42410*b**3 - 42411*b**2 = 0.\nAnswer: -42411, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 17 = -34*z + 37*z, -5*z - 5*c = -65 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -168 - 28. Let q = s + 221. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n**2 + n**2 - n**2)*(91 - 7 + 0 + (-4 + 1 + 1)*(2 + 3 - 3)) to the form q*n**2 + w + u*n and give q.\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 6\/55*g**5 - 48 - 6\/11*g**2 - 2\/11*g**3 + 0*g + 3\/11*g**4. Solve d(i) = 0 for i.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1027\/10285?\nAnswer: 1027\/10285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 59*w**2 - 5*w + 43. Let m(n) = 295*n**2 - 26*n + 236. Calculate 4*m(o) - 22*z(o).\nAnswer: -118*o**2 + 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(2 + (-3)\/6). Suppose d = -2*l + 15, l + 75 = 5*d + f*l. Is (1194\/d)\/(8\/20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70181616793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 2*p - 2. Let d(m) = m**2 + 2*m - 1. Suppose h = -3*f + f + 27, 3*h = 3*f - 18. Let a = f - 8. Let s(u) = a*d(u) - 2*q(u). Factor s(y).\nAnswer: (y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278900827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*u + 1613*u + 1397*u.\nAnswer: 2872*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x**2 + 248781 + 161*x**4 - 248778 - 10*x**2 to i*x**4 + f*x**2 + q*x + j + t*x**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -74. What is the third derivative of g*q**6 + 30*q**2 - 10*q**6 - 3*q**6 wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 76428700 to the nearest 1000000.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h. Let p(w) = 25 - 20 - 19 - 10*w**2. Let i(z) = -2*z**2 - 1 - 1 - 1. Let r(n) = -14*i(n) + 3*p(n). Calculate v(r(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d98 (base 14) to base 9.\nAnswer: 12177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38341?\nAnswer: 23, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 4*f**4 + 11*f**3 + 119 - 117 + 4*f**4 + 3*f**4 to the form r*f**4 + q*f**2 + h*f**3 + x*f + u and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(2\/3)))*g)**(-31)\/(g*g*g\/(g**(2\/19)\/g)*g*g*g**0) assuming g is positive.\nAnswer: g**(-5048\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97.554 + -11.636. Let j = 86 - l. Let i = -0.009 + j. What is i rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 35*u**2 + 725*u - 210 = 0.\nAnswer: -21, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-90)\/(-320)*(-4)\/(-3)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -5, 4, -277, 5 in decreasing order.\nAnswer: 16, 5, 4, -2, -5, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-20))\/(4\/10)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2869453 + -2?\nAnswer: -2869455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10826 divided by -942.\nAnswer: -5413\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**3 - 63*j + 9. Suppose 2*l - r - 21 = 0, l = 5*l - 4*r - 48. Let u(v) = -3*v**3 - 31*v + 4. Give l*u(g) - 4*n(g).\nAnswer: g**3 - 27*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z. Let b(m) = -2*m**3 + 2*m**2 - 4*m - 4. Let g be b(-3). Suppose -2*h + 4*h - g = z. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 14*r + 1064. Let i = -14 - r. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u**(-2)*u)))\/((u*u\/((u*u**(2\/37))\/u*u))\/u) assuming u is positive.\nAnswer: u**(2\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -38*g + 32. Is 29 a factor of c(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*p = -13 - 66, 5*q + 5*p = 215. Calculate the highest common factor of 105 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -2082\/13. Which is bigger: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 33. Let n be (-3)\/g*(-1 - -21). Suppose -3*q = s - 31, 17*q + 46 = 21*q - s. Is q < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 2*q + 2. Let j be n(0). Solve j*t = 1 - 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14*-2485.2\nAnswer: 347.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11\/(-22))\/((-2)\/40). Suppose 11*u - m*u = 445. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 7\/3 (c) 7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*v + 394, 5*v - 19 = 1. Let i = -143 - g. What are the prime factors of i?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56466 divided by -1491\nAnswer: 18822\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36577, -35273, -33969, -32665, -31361, -30057?\n\"Answer: 1304*u - 37881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 1. Let q(z) = -5*z + 5. Let g(c) = 2*o(c) + q(c). What is g(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1475 - -1480. Let v be (-8 + -7)\/5 - 6\/(-1). Solve 3*j = v*n + 3, -t*j - 27 = 2*n + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 + 9*o**2 + 7*o. Let n(y) = -y**3 - y**2 - y. Let r(d) = 2*b(d) + 6*n(d). Suppose r(w) = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 3*x**2 + 18*x + 12. Let u(d) = 2*d**3 - 6*d**2 + 36*d + 23. Let z(f) = -3*u(f) + 5*v(f). Is z(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f + 8. Let k be t(1). Calculate the common denominator of (k\/(-45))\/2 - 58\/(-9) and -41\/39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1825 (b) 3\/7 (c) 5 (d) 3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24115)\/(-212))\/(-7))\/(5\/16)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -27 (b) 0 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477829, 477852, 477875, 477898?\nAnswer: 477921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33415 - 33415.00118245. What is q rounded to 5 dps?\nAnswer: -0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -136 + e6a71?\nAnswer: e693a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t + t**2 - 19 - 6*t**2 - 43 + 3*t**2 - 9*t as d*t**2 + u + j*t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x + 7. Let u(g) = 2*g + 3. Suppose 58 = -5*d + 4*c - 4, 2*c = -d - 18. Let n(y) = d*u(y) + 6*w(y). Let i(m) = -4*m. Calculate i(n(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 1 + 0*a + 13\/3*a**3 + 0*a**2. Let w(h) be the first derivative of -h**2 - 14422. Determine s(w(i)).\nAnswer: 52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-42)*6 - 4\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 54*k**2 - 30*k**2 - 22*k**2.\nAnswer: -106*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c - 14*c + 7*c + 2*c**2 + 3*c.\nAnswer: 2*c*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18942 divided by -287\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1 - 1) + (33 - 31). Sort -4\/7, 2\/3, z, -1\/9 in increasing order.\nAnswer: z, -4\/7, -1\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r - 3. Suppose g = 2*p - g - 46, p - 4*g - 20 = 0. Let x(v) = 1 + 23*v - p*v + 4. Let j be x(-4). Let f(m) = 2*m + 1. What is j*f(b) + 2*y(b)?\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*q**4 - 294*q**2 + 2351.\nAnswer: 132*q**3 - 588*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {j: 5, l: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 31*l - 13. Let n be t(-16). Suppose -n*m = 19 - 37. Solve 4*v - 5*u + 0 = 11, -u = 3*v + m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4 + 6 - (42\/(-18) - -10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*p - 613 = 226*p + 458 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 3*m - 5*x + 3, -x = -5*m + 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -25*p**4\/8 - 15*p**3\/2 - 27*p**2\/4 + 4*p - 4. Let y(i) be the first derivative of w(i). Factor y(m).\nAnswer: -3*(5*m + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**3 - 2819*c**2 - 1609*c - 34 wrt c.\nAnswer: 18*c - 5638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -24*i**2 + i - 6. Let v(k) = -k**2 - 1. Let z(b) = 5*v(b) - y(b). Is z(2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.17845 years in millennia?\nAnswer: 0.09417845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -227.334 - 4.566. Let g = 232 + c. Put -2\/9, 2\/9, g, -1\/2 in increasing order.\nAnswer: -1\/2, -2\/9, g, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-7 - (-11 + 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2154, 4308, 6474, 8658, 10866, 13104?\nAnswer: 15378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -298 - -297. Let p(t) = 5*t**2 - 3*t - 2. Give p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*h = -1350, -2*s - 6*h + 545 = -3*h. Find the second derivative of 339*m - 2*m**3 - 57*m**2 - s*m - 186*m wrt m.\nAnswer: -12*m - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76398.\nAnswer: 2, 3, 7, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.22907 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + x - 3*x. Let y(a) = 39*a - 62*a + 37*a. Calculate k(y(t)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c - 59*c = -44. Let p be 3*(c\/231 + (-290)\/399). Are p and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2471412 divided by -2\nAnswer: -1235706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3996*n - 675330. Determine x(-169).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 11:50 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*l - 13, -5*a - 7*l + 8*l - 11 = 0. Let n(v) = v - 1. What is n(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkwwkwcwkwcwc. Give prob of picking 2 k and 2 c.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - o**2 - 3*o - 3. Let a(r) = r**3 - r**2 - 4*r - 4. Let j(t) = t**2 + t. Let s be j(-4). Suppose 0*v + s = -4*v. What is v*a(h) + 4*y(h)?\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -5*o + 4*o + 30*o. Let a(j) = j**3 - 8*j**2 + 7*j - 3. What is a(o)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/60 + 13*b**5\/30 - 7*b**4\/6 + 541*b**2. Factor n(d).\nAnswer: 2*d*(d - 1)*(d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2. Let p(a) = -9*a**2 - 49*a. Let i(m) = -4*m**2 - 25*m. Let z = -41 - -44. Let w(s) = z*p(s) - 7*i(s). Determine l(w(j)).\nAnswer: 2*j**4 + 112*j**3 + 1568*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a micrometer in nanometers?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - -2)*1 + 31 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 582 + -399. Let f = 182.6 - y. Which is smaller: f or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73 - -401. What are the prime factors of u?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*i + 10*i - 619 + 139. Solve -i - 84 = -36*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1886 - 2881 + 1871 - 1697 - 3252)*(r - 2*r + 3*r).\nAnswer: -15690*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*a = -146, 4*a = 2*p + 243 - 191 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*l + 0)*(3*l - 5*l + l) - 7*l**2 + 2*l**2 + 3*l**2 + (-l - l + 0*l)*(-3 + 3 - l) + l**2 + 0*l**2 + 0*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 355 and -597.2?\nAnswer: -212006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -10*p**3\/3 + 16*p + 3144. Let o(m) = -2*m**2 + 1 - 6 + 5*m**2. Determine 4*j(y) + 14*o(y).\nAnswer: 2*y**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15065, -15069, -15073, -15077, -15081, -15085?\n\"Answer: -4*v - 15061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 7)*(6*y + y - 3*y) - 98*y - 4 - 14 + 100*y to the form g*y + t and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -1980f3?\nAnswer: 1980f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1758 = 3*m, 6*n + 1174 = 4*n + 4*m. Let s = n - -2341\/4. Factor -1\/2*r + 0 + 3\/4*r**2 - s*r**3.\nAnswer: -r*(r - 2)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cijc when four letters picked without replacement from ccjjcccjiccijcci?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -46 (b) 5 (c) -2\/181 (d) 0.3 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v + 7*v + 5*v + 13*v.\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*y = -49, -4*q + 2 = 5*y - 60. Let r(i) = -i**2 - 5*i + 2. Let p be r(-5). Determine w so that 13 - q - 2*w - p*w**4 + 2*w**2 + 2*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123867236 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1253 + 1315. What is the remainder when 552 is divided by x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20550024 by -662904.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72*t**3 + t**2 - 353196*t + 35195338.\nAnswer: 216*t**2 + 2*t - 353196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.2, 0.0792193, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**6\/40 + 88*q**5\/15 - 5*q**4\/24 - 50*q**3\/3 + 668*q**2. Find the second derivative of x(y) wrt y.\nAnswer: 18*y + 704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(1\/11)*r\/r**(2\/55)*r*(r**(-2\/9))**(-39) assuming r is positive.\nAnswer: r**(1934\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-35))\/(38\/(-190)))\/((-69)\/(-6))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130861 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*n**4 - 592 - 2*n**2 - 3*n**3 + 51*n + 593 - 53*n to b*n**3 + h*n + y*n**4 + g*n**2 + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -50, -28 in descending order.\nAnswer: 0, -6, -28, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 62 + g**2 - 3*g**4 + g + 76 - 77 + 3*g**3 as o*g**3 + j*g**4 + x*g + d*g**2 + p and give p.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + h + 0*h)*(-2*h**4 + h**4 + 2*h**4 + (3*h**4 + 3*h**4 - 5*h**4)*(1 - 1 + 2) + 13*h**3 + 14*h**4 - 13*h**3) + (1 - 4 + 4)*(h - h + 2*h**5).\nAnswer: -49*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/30 + (-8)\/12?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8823 + 9125. Sort -2, 0.3, n, -4 in ascending order.\nAnswer: -4, -2, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1092 + 1098. Let m be -4 + (-5 - -1) + 3. Let h(d) = -11*d - 8. Let n(x) = -10*x - 7. Calculate b*n(i) + m*h(i).\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**4 - 2*l + 3*l + 0*l. Let f(h) = 27 - 3*h**2 - 27 + 109*h**4 - 101*h**4 + 8*h - 3*h**3. Let r(p) = 2*f(p) - 18*q(p). Solve r(n) = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s. Let r(q) be the first derivative of 0*q**3 + 0*q**4 - 2 + 0*q - q**2 + 1\/30*q**5. Let t(y) be the second derivative of r(y). What is g(t(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**2. Determine d(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199578625 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80666.034697 - -80666. What is l rounded to four dps?\nAnswer: -0.0347","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 11*g**4\/6 + 3*g - 27. Let k(b) = 11*b**2. Determine j(k(m)).\nAnswer: 2662*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1612 - -1616. Which is the third biggest value? (a) h (b) 31 (c) 1\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 16*k + 12*k + 91. Sort 5, -47, k in decreasing order.\nAnswer: 5, k, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -95?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzdzzzdzzddddzd. What is prob of sequence zz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-1*6345\/2961*(-49)\/(-175).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120792 or 120791?\nAnswer: 120791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 - 5*k**3 + 0*k**3)*((-4 + 5 - 2)*(2*k - 5*k - k) + 3*k - 2*k + 3*k + (1 + 3 - 3)*(k - 13*k + 2*k) - 3*k + k - 4*k).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 330813*d**3*f**4 + 7353574*d**3 + 677*f**4 - 10 wrt f?\nAnswer: 1323252*d**3*f**3 + 2708*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582588 is divided by 291290.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -223 (b) -127 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -32*o - 24 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + f**2)*(2*f**2 - 3*f**2 + 4*f**2) + 7*f**4 + f**4 + 62*f**4 in the form u*f**4 + l*f**2 + h*f**3 + k*f + o and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.193 times -4.3?\nAnswer: 30.9299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2469669.\nAnswer: 3, 29, 28387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in -77, 1, 130, 88?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4395 - 1294 - 1520 - 1232)*(a**3 - 4 - 25*a**2 + 22*a**2 + 3).\nAnswer: 349*a**3 - 1047*a**2 - 349","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -1 (c) -0.5 (d) 4808\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969154 is divided by 658?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (1 - 2))\/(775\/(-310))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**3\/6 + 290*r + 1. Let s(w) = -w - 563. What is s(g(m))?\nAnswer: -m - 563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/104 and -48\/632809.\nAnswer: 65812136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 53*o**2 + 281*o - 100. Give a(6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttww when four letters picked without replacement from wttetwtewwwtwwttwwww?\nAnswer: 77\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69357 is divided by 162.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25003689 to the power of 1\/3, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*((sqrt(847) - (2 + 3*sqrt(847))**2) + 0)*-2*-2 + -1.\nAnswer: 1452*sqrt(7) + 91520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(-3 + 1 + 23)*(1 + 5 + 0)*(1 - 1 + a) to the form d*a + l and give d.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = -16. Let x = v + -5. Let b(i) = i**2 - i + 1. What is b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4) + -28 - -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -723655 to the nearest 10000.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 6, 2*n + 6*r - 4*r - 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.65 + 0.55. Let o = c + 1.4. Suppose -5*h + 28 = -5*v - 7, 0 = 2*v - 5*h + 20. What is the biggest value in 3\/7, v, -2\/9, o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1654, 1662, 1682, 1720, 1782?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 14)*(-13 - 18*m**4 + 13) as n + u*m**4 + k*m + o*m**3 + q*m**2 and give u.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1088\/28 - (-5)\/35. Suppose 7*g - 73 - m = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 = -1. Suppose -o + 4 = x*p, -5*o + p + 0*p + 20 = 0. Sort 3, 5, o in increasing order.\nAnswer: 3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -519080948 + -77?\nAnswer: -519081025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.1 and 7776927519.94?\nAnswer: 7776927516.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10718384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 140*z**2. Let f(i) = -226*i**2. What is y(f(s))?\nAnswer: 7150640*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/159617 in -3\/8, -4\/9, 5, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92160767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/34)\/n)**(2\/45) assuming n is positive.\nAnswer: n**(-37\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i = 4*v - 41, 4*v + 2*i - 26 = 0. Let m(c) = 9*c + 22. Let q be m(-3). Calculate the remainder when v is divided by (q\/2)\/((-20)\/16).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -9\/20*x**5 + 1\/2*x**2 + 1\/6*x**3 + 0 - x - 1\/12*x**4. What is g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*1*(-44)\/(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-3\/14)*v)*v)\/v**(-3\/4))**(-14\/9)*((v\/v**(-1\/2))**(-3\/5))**23 assuming v is positive.\nAnswer: v**(-1069\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7538849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 2. Let q = 5\/11 + -4\/33. Let t = 2987\/36 + -331\/4. Which is the second biggest value? (a) -4 (b) t (c) g (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45898, -46828, -48390, -50590, -53434, -56928?\n\"Answer: -o**3 - 310*o**2 + 7*o - 45594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/9)\/((-6)\/45). Solve 0 = -5*b - 3*d + 8, -6 = -u*b + 2*d - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - -2) + -10 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -11\/1195220 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24.5946616 from -7.130266.\nAnswer: -31.7249276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253726 is divided by 888?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.07 - -0.07. Let d = 10 + -6. Let x = -21.23 - -20.73. Which is the nearest to 0? (a) d (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16922457 divided by -207?\nAnswer: 81751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1704303.\nAnswer: 3, 409, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -10 - 12 + x + 11 - 2*x. Let f(o) be the third derivative of -o**5\/60 + o**4\/2 - o**3 - 2*o**2. Let g be f(12). What is u(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 10275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = 8. Suppose -5*y - u = -22. Which is the closest to 1? (a) y (b) -0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**2 + 4*b - 3. Let r be t(2). Suppose 5*c - 1 = -r. Let s be (-6)\/c*(-16)\/6. What is the third smallest value in -3\/5, -3\/7, s?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-56)*455\/(-5044). Is v greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-29)\/87*3\/1)*-8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -2\/3*i - 2\/3*i**5 - 1 + 5\/3*i**2 + 1\/9*i**6 + 5\/3*i**4 - 20\/9*i**3. Factor z(y).\nAnswer: 2*(y - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-280)*20*156\/(-9)?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/9)\/(105\/9) + 0. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 12*u - 8. Which is smaller: -2\/439 or u?\nAnswer: -2\/439","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8483085983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(1\/3))\/(q*q\/(q**(4\/7)*q)))**39*(((q*q\/(q*q**0))\/q)\/(q*q**(-1\/3)*q))**(-2\/97) assuming q is positive.\nAnswer: q**(98428\/2037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 1. Let j(h) = -h. Determine 34*j(a) - 6*m(a).\nAnswer: -4*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 3*k. Let g(d) = -15*d**2 + 20*d. Let w(u) = 3*g(u) - 20*z(u). Let x(n) = 2*n**2. Calculate w(x(c)).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (-2*(sqrt(108) + -1) + sqrt(108))) + sqrt(15)\/(sqrt(35)\/(sqrt(14)\/sqrt(2))))**2*5.\nAnswer: -260*sqrt(3) + 2555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29932 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4677 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 3*v**2 + 3*v**2 + (4 + v - 4)*(2*v - 3*v - v) + (0*v + 2*v + 0*v + 2)*((2 + 0 - 3)*(-v + 0*v - v) - v + 16*v + 19*v).\nAnswer: 71*v**2 + 72*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2135243, 0, -6 in descending order.\nAnswer: 1, 0, -6, -2135243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 3, c: 7, w: 4, k: 2, q: 1}. Give prob of picking 2 w and 1 c.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkrr when four letters picked without replacement from krrrk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 344 (c) 2\/5 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 1169935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36345962?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(320) + (sqrt(320) - (2 + sqrt(320))) + sqrt(320)))**2.\nAnswer: -256*sqrt(5) + 5136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + s**2 + 13034 + 677*s**3 - 13034 + 1079*s**3 + 5448*s**3 to u*s**3 + y*s + f + o*s**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 8, -19 in ascending order.\nAnswer: -19, 1, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-63)*(910\/(-40))\/13.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(238)\/(sqrt(7)*3))\/(sqrt(288) + (sqrt(288) - (sqrt(288)*3 + sqrt(288) + sqrt(288) + sqrt(288) - sqrt(288)))).\nAnswer: -sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**5 - 9749*z**4 - z**3 + 12579*z wrt z?\nAnswer: -40*z**3 - 116988*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -298.9948 + -0.0052. Let l = -299.000064 - p. What is l rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 210075*m**2 - 2242571760*m - 753086389660.\nAnswer: -5*(m + 347)*(m + 20834)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 872309\/3286170 - 1\/60855. Calculate the common denominator of -63\/166 and c.\nAnswer: 13446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -57, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -138.6*0.6\nAnswer: -83.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 1, n: 1, u: 4, t: 7, k: 4}. Give prob of sequence nt.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 70*s**2 + s + 1. Let c be u(-4). Suppose 7*k + c = 5758. List the prime factors of k.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 69489332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 + 17*y - 25. Let p(n) = -3*n**2 - 9*n + 13. Let k(m) = -7*p(m) - 4*w(m). Let h(s) = 2*s - 4. Give -5*h(r) - 2*k(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2730\/11 + 2 - (-394)\/(-2167) is divided by 88.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*z + 6*z - z**2 - z**2 + z**2 as w + n*z + h*z**2 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 870 and 1871660.\nAnswer: 5614980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 27*c + 32. Let y be 660\/65 - 6\/39. What is the tens digit of b(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207 + -113. Suppose x = -5*j + 53, 0 = -3*x + x - 3*j + 85. Let b = u - x. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 123 = 98. Let f be 11\/(1001\/(-14)) + (-336)\/u. Let d = f + 28. Solve -21 = 5*x - 4*k, d*x = -0*x - 5*k - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-six fifths of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose -516 = -m*z + 70. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 4)\/(8\/17842). Let c = -6859 - s. Let d = -855\/4 - c. What is the common denominator of d and -34\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -9\/211?\nAnswer: -9\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.5 (b) -18 (c) 1\/5359 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5302 (base 10) to base 13.\nAnswer: 254b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -1\/3*r**3 + 2 + r - 5*r**2. Is u(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10567, 21641, 32715, 43789, 54863, 65937?\n\"Answer: 11074*u - 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3042 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by -22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181*z + 118*z + 441*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -331203030201?\nAnswer: 331203030210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-48)\/9 + 5)\/(1\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/50*(-4)\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (80\/145 - 2)*1. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1390 and 7089?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.35 + -1.38. What is n rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**2*m**2*w + 3222*d**2*m*q**3*w**2 - d**2*q**2*w**2 + 27*d*m**2*q*w**2 - 40*d*q**2*w**2 + 58*m**2*q**3*w + m*q**2*w**2 wrt q?\nAnswer: 19332*d**2*m*w**2 + 348*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10904*i**2 - 31*i - 82. Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -49, 4 in descending order.\nAnswer: 4, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-8) + (-45)\/(-12). Suppose -15 = -v - 2*v. What is the third derivative of 10*q + f*q**6 - 10*q + v*q**2 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u + u)*(15*u**3 - 6*u**3 - 3*u**3)*(1 + 1 + 3).\nAnswer: 60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 122663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/108 and 4\/922959.\nAnswer: 11075508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -297, -7, 0 in descending order.\nAnswer: 0, -7, -297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 2*q - 2. Let s(t) = 2*t**3 - t**2 + 3*t + 3. Suppose -2*l = l + 9. Let x be ((-9)\/6)\/(1\/(-2)). Let u = x + -5. Calculate l*p(f) + u*s(f).\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4\/7 + 286*u**3 - 44770*u**2\/7 + 247566*u\/7 = 0. Calculate u.\nAnswer: -1023, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1059 + 1059 - 10*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -63, -136, -237, -366, -523, -708?\n\"Answer: -14*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 19. Let q be (-62)\/(2 - 0)*(-7 + 0). Let y be 62\/q - 10\/14. Which is the second biggest value? (a) -5 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222008 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s + 77*s + 51*s.\nAnswer: 104*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-12)\/(-20) + (-100971)\/(-65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {h: 3, t: 1, w: 8, n: 2, m: 3, f: 1}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1120002122?\nAnswer: -1120002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12818 (base 16) to base 15\nAnswer: -176d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3133 by 3133.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-12) + (16859\/(-6))\/23. Let i = 484 + s. Round i to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 3\/4 in ascending order.\nAnswer: -0.3, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 583651 - 582804 + 0*d**2 + 3*d**2 as c + k*d**2 + p*d and give c.\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22973038, 22973037, 22973036, 22973035, 22973034?\nAnswer: 22973033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.3 - -13.3000222. Round p to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, 1\/6, -0.2, -73, 2, -0.3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(96)\/sqrt(3) - sqrt(2))**2 + sqrt(2) + (2*sqrt(2) - sqrt(2)) + 3.\nAnswer: 3*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/3 of a hour?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11590 is divided by 5785?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(96)\/sqrt(4)*-4)\/(sqrt(224)\/sqrt(7) - sqrt(8) - sqrt(80)\/(sqrt(10) - sqrt(40))).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 701 divide 288707551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 306419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*((-p - 2 + 2)*(-7*p**2 + 7*p**2 + 7*p**2) + 4*p**3 - 8*p + 8*p) - 3*p**3 + 0*p + 0*p.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2200 + 8205 - 2196 - 2196 - 14*g - 1613.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*-3 + 27\/20\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7867 + -1808782.\nAnswer: -1800915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -347, -2 in decreasing order.\nAnswer: -2, -5, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 1. Let z(q) = -q - 8. Let m be z(-10). Let t(p) = -3*p + 3. Let b(a) = m*t(a) - 7*x(a). What is b(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {v: 9, x: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1573819\/1368 + -9205\/8. What is the common denominator of g and -151\/72?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118249, 118242, 118233, 118222, 118209?\n\"Answer: -o**2 - 4*o + 118254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -928 divided by -6076.\nAnswer: 232\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + n**2 - 3*n + 1. Let k(r) = r**2 - 20*r - 128. Let g be k(25). Let a(x) = -x**3 + 2*x**2 - 2*x + 1. Determine g*a(d) + 2*w(d).\nAnswer: d**3 - 4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -313 + 296 + 7\/(7\/(-4)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 49, 80, 127, 196?\n\"Answer: n**3 - n**2 + 17*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v. Factor -m**5 - 2*m**4 + 4*m**4 - m**5 + 4*m**3 + v*m**4.\nAnswer: -2*m**3*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 14102624?\nAnswer: 14102630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11520669353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57576017 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17901, -50662, -83423, -116184?\nAnswer: -148945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 139531, 139534, 139537, 139540?\n\"Answer: 3*i + 139528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 289619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 10:58 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7 (b) 3\/2 (c) -0.2 (d) 5 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2282 and 18319.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29886*d = -30791*d + 9880 + 61615 for d.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -839 times -566\nAnswer: 474874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6949*j*o*u*v**2 + 2*j*o*u*v - 3*j*o*v**2 - 2*j*o - 2*j*u*v - 20*j - 7*o*u + o*v + 3*u*v**2 + 2 wrt v.\nAnswer: 13898*j*o*u - 6*j*o + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2 + -3) - -3. Suppose -2*l - 2 + 1 = -j, 4 = -2*l. Sort j, 2\/3, h.\nAnswer: j, h, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-186)\/2604)*(-3)\/(4\/4)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8783278*s**3 + s**2 - s - 553876.\nAnswer: 52699668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127785*z + 255523*z - 128365*z.\nAnswer: -627*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-76))\/(162\/54)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3090 and -139\/9270.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 + -1 + 11\/4. Suppose 5*g - 10 = 0, 0*d + 641 = -5*d - m*g. Let l = -77 - d. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28394109 - 28394109 - 6*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67.4328 - -67.78. What is d rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 520*d - 621. Calculate w(105).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 + -0.3. Let z = -58\/315 + -1\/63. Sort -2\/9, z, i in descending order.\nAnswer: i, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/616*1696\/636.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-1\/14)*p)\/p)\/p)**(-1))**(-37) assuming p is positive.\nAnswer: p**(-555\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1016665800.83738 - -1011573721.1373813. Let x = s + 5092080. Let m = x + -0.3. What is m rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:58 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let r(b) = -2*b. Let j = -5 - -4. Let c be r(j). Let z(h) = h**c - h + h. Give u(z(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 4*h + 3. Let l = 16 - 10. Determine t(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -1) + 25 + (-41 - (41 + -62)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57664312 by 2.\nAnswer: -28832156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46, -2\/3, 3, -1, -5, 2229, 4\/3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 11*y - 4. What is x(-17)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.04, -4\/7, -1 in increasing order.\nAnswer: -7.04, -1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 4. Let n(s) be the third derivative of 0 + 0*s - 7\/2*s**3 + 21*s**2 - 5\/24*s**4. Calculate 2*n(q) + 11*y(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -16 + 2 + 7 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40301 is divided by 10073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, 0.04, 4 in descending order.\nAnswer: 5, 4, 0.04, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -0*k - 3*k. Let w be k\/6*99\/(-22). Let g = 16 + w. Solve -2*o + 8 = -6*o + 4*y, 0 = 4*o - 3*y + g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12063 and 1182174.\nAnswer: 1182174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1425.576.\nAnswer: -1424.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huuuuuhuhuu. What is prob of picking 3 h and 1 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 8*x - 78. Suppose 0*j = -x*j + 221. Differentiate 15 + 0 + 1 - j*d**2 wrt d.\nAnswer: -34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 182 - 17*f.\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - j)*(-j**2 - 2*j**2 + j**2) - j**3 - 2*j + 2*j + (j - 4*j + j)*(-j**2 + 2*j**2 - 2*j**2) - 59*j**2 + 59*j**2 + 13*j**3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -174*k - 53. Let q be f(-7). Suppose 2*m + 3*m - q = 0. List the prime factors of m.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248634, -497239, -745844, -994449, -1243054, -1491659?\nAnswer: -1740264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.093173 and 2.\nAnswer: 0.186346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0)\/(m\/(m\/(m**(3\/5)\/m)))*(m**3)**(-2\/25))**(-48) assuming m is positive.\nAnswer: m**(-1392\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/8 + 17\/24. Let y = 11 + -21\/2. What is the nearest to -3 in y, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/((-11)\/(-33))*-8. Let d(k) = -k**2 - 7*k + 26. What is the remainder when 47 is divided by d(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 4:36 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383\/20 + 79\/4. Let p(y) = y**3 - 23*y**2 - 22*y - 47. Let q be p(24). Which is the nearest to q? (a) r (b) 3\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 2*a**3 + a**3 + (-a + a + a)*(-a**2 + 0*a**2 - 2*a**2))*(3 + 2 - 2).\nAnswer: -21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 2*x - 5. Let n be m(-5). Suppose 2*f + 12 = 2*s, -f + n = -2*s + 5*s. Suppose p - 15 = -5*l + 2*p, -s*p + 20 = 0. Solve 9*c = l*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2027 - 2045 - (16 - 0).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11376.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 42*a. Let x(t) = 2*t**2 - 12*t**2 - t**2 + 13*t**2. Determine w(x(s)).\nAnswer: -4*s**4 - 84*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 2\/3*w**3 + 6*w**2 + 10*w - 32. Factor x(c).\nAnswer: 2*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37556 is divided by 37550.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -131*a**3 - 4*a**2 + 3*a**2 + 4*a - 113192*a**3 - 17927*a**3. Let o be w(4). Round o to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54382, 54419, 54482, 54571, 54686, 54827?\n\"Answer: 13*l**2 - 2*l + 54371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50058268?\nAnswer: 2, 13, 17, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 d when three letters picked without replacement from dddrdwwrdddw?\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9029022 and 27087066.\nAnswer: 27087066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 2184, -4 in decreasing order.\nAnswer: 2184, 39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 321 - -53298\nAnswer: 53619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2799 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -122 - 137 + 211. What is the remainder when 415 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + -1 + -3 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 147174782?\nAnswer: 883048692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**6\/27 - c**4\/9 + c**2\/9 - 2. Determine d, given that q(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. What is the smallest common multiple of v and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-153) - (-92)\/782?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itccimcmt. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/42)\/((-43)\/(-258))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 55*p - 211. Give v(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4 + 2*p**3 - 8*p**2.\nAnswer: p**2*(p - 2)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*t - 1854, 4 = 2*t - 2. Calculate the highest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1 - 6*p**2 - 4*p**4 - 30*p**3 + 22*p**3 + p**4.\nAnswer: -(p + 1)**3*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -47*f - 464. What is the smallest common multiple of v(-16) and 624?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 89 - 25. Suppose -2*x = 2*g + 2*g - 26, 5*g - 33 = -3*x. Calculate the highest common factor of d and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2 - 2*d - 2. Let m(u) = -24*u**2 - 9*u - 9. Let i be (-2)\/(-6) - (-196)\/(-21). Let z(t) = i*h(t) + 2*m(t). Let p(y) = -2*y. What is z(p(n))?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6\/5, 0.0422.\nAnswer: -0.2, 0.0422, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.75 - 0.25. Let m be 30\/(-35) + (-1377)\/(-5355). Which is the nearest to m? (a) 1\/2 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 3*d**2 - 9*d + 15. What is f(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26172.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*q*w + 467*q + w**2 - 2 with respect to w.\nAnswer: 49*q + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}