diff --git "a/data/dm_maths/full_data_1/1688_11255.jsonl" "b/data/dm_maths/full_data_1/1688_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1688_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 206 = 5*v - 2*n, -n + 8 = 3*n. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -36*x + 150. What is the remainder when 70 is divided by 48 - ((-7 - -8) + x)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**7)\/x)\/x*x**11)\/(x**9*x*x**(13\/3)*x) assuming x is positive.\nAnswer: x**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 18*s + 56. Let t be u(-18). Let r = t + 340. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u + 30. Let r be q(-5). Suppose -12*p - 1 = -61. Solve r = -p*f + 14 + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100980 divided by 6\nAnswer: 16830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s - 1275. Determine h(106).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 7 - 7 + (-2*g + 4*g - g)*(-4 + 7 - 4))*(-8*g**3 + 2*g**3 - 17*g**4 + 3*g**4).\nAnswer: 70*g**5 + 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260834 and 496.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/10 + (-4)\/10. Suppose 0 = -0*y + 5*y + 5*z - 35, 6 = i*z. What are the prime factors of 0 + 2 + -2 + y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 368819*z**2. Let f(t) = 2*t. Calculate f(r(c)).\nAnswer: 737638*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-200)\/(-125))\/(2\/5) + -2. Solve -7*i - r = 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.130668112 rounded to 1 dp?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*k = -1164 - 1136 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.414 and 0.5?\nAnswer: 7.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7697862 to the power of 1\/2, to the nearest integer?\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.856261 to two dps.\nAnswer: 72.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4be4 - -1?\nAnswer: -4be3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10746*u + 3079. Is k(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27992*h + 27951*h = 41 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:28 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - w**2 + 3*w - 3 - 2*w)*(0*w**2 + 8*w**2 - 2*w**2).\nAnswer: -6*w**4 + 6*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -29. Let z = q + 47. Does 15 divide (-2 + z\/4)*12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389418286999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 85 = -5*w. Solve 0 = 5*a - m + 28, 2*a - a = 4*m - w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**4\/4 + s**3\/3 - s**2 + 382. What is z(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325093688 by 4.\nAnswer: -81273422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = -245*l + 273*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 463*r**3 + 179*r**2 - 179*r**2.\nAnswer: 463*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -99*i**3 - 20*i**2 - i + 20. Let y be n(20). What is y rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.104 + -0.14. Let t = -0.864 + g. Sort t, 3, -0.3, -34.\nAnswer: -34, -0.3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(1 + (1 + sqrt(832) + 1 - (1 + sqrt(832) + 5))) + 5))**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14, -2 in increasing order.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 4 = 3*w, -5*g - 4*w = -4*g - 10. Let m(x) = -5*x. Let q(l) = -4*l. Let f(h) = g*m(h) - 3*q(h). Let j(z) = 6*z**2. Calculate j(f(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -149, -459, -931, -1559, -2337?\n\"Answer: a**3 - 87*a**2 - 56*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 157077?\nAnswer: 157111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-8))\/9*(-1)\/((-2)\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyy. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1216, -1463, -2092, -3295, -5264?\n\"Answer: -32*y**3 + y**2 - 26*y - 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 884*m**4 + 428*m**4 - 2*m**2 - 191 - 27 wrt m?\nAnswer: 31488*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 190256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 559, 1099, 1615, 2095, 2527, 2899, 3199?\nAnswer: 3415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 28 - 37 - 2*i**2 + 2*i**2 + i**2 - 8*i. Let u(t) = 2*t**2 - 16*t - 19. Let n(a) = 5*o(a) - 2*u(a). Determine n(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-3 + 0)\/3. Solve 1 = -s*y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3140, 12419, 27880, 49517, 77324?\n\"Answer: -o**3 + 3097*o**2 - 5*o + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 12994 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/2 - 3085*o\/2 + 930093 = 0. Calculate o.\nAnswer: 822, 2263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + (-8)\/((-5184)\/2043) and 109\/20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4167 - 3941. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271504 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 632*x**3 + 20*x**2 - 20*x. List the prime factors of g(1).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18818, -37765, -56714, -75665, -94618, -113573?\n\"Answer: -p**2 - 18944*p + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 1. Suppose 0 = -p - p + 8. Suppose -p = -0*u - 4*u. What is v(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*v + 463, -5*x - 4*v - 82 + 684 = 0. Calculate the highest common divisor of x and 3422.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 9409083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, p: 2}. Give prob of picking 3 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/6076076 and 17\/230.\nAnswer: 698748740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1419\/5 or 1?\nAnswer: -1419\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 24 in descending order.\nAnswer: 24, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i - 8. Let a(r) = -10*r + 9. Calculate -6*a(u) - 7*o(u).\nAnswer: -17*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-9) + (-37)\/((-444)\/48)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.6 + -0.12?\nAnswer: 24.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - 3*s - 3*s)*(13*s + 24*s + 0*s) as u*s + d + z*s**2 and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**12\/z)\/z)\/(z*z**(-14))*(z**3)**(-6) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1218 + -1217. What is the fourth biggest value in 1\/6, -1\/4, t, 20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7440051 and -0.32?\nAnswer: 2380816.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -654 + 337. Let k = 59 + t. Let r = 257.9859 + k. What is r rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 174\/15 + (-78)\/130?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + 10*n - 10*n + (-n**3 + n**3 - n**3)*(1 - 1 + 1) to b + i*n**3 + q*n**2 + z*n and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 282, 236, 64, -234, -658?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*q + 48 = -146 + 368 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 0 - sqrt(252))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:34 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 16 + 14 - -21 - (3 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 175, 151, 127, 103?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-16)*-4)\/((-105)\/(-28)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/8)\/((-2)\/8). Suppose 2*i + 2 = -4*j, -3 = -3*j - 2*i + 5*i. What is the least common multiple of 18 and k*(j + -1 - 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 6*i**2 + 4*i - 4. Let j be b(-5). Let v = 1541\/36 - 392\/9. Sort j, v, -3\/8, 4.\nAnswer: v, -3\/8, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-15)*(-35)\/21. Let b = -0.34 + 4.34. Put z, -2\/7, b, 3 in descending order.\nAnswer: b, 3, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9*c - 6. Let x(g) = 36*g - 21. Let i(z) = 15*w(z) - 4*x(z). Let v(b) = -8*b - 5. Determine 4*i(o) - 5*v(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4523126, 4523127, 4523130, 4523135, 4523142?\n\"Answer: c**2 - 2*c + 4523127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10 and -18\/3953?\nAnswer: 39530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118779, 5, 4, -1\/3 in descending order.\nAnswer: 118779, 5, 4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1127*w + 49. Let s(v) = -47*v + 2. Determine -98*s(h) + 4*z(h).\nAnswer: 98*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 9 = 4*z + 3, k = -3*z - 8. Let n(b) = b + 17. Calculate the remainder when -1 + (-236)\/(-7) - 12\/(-42) is divided by n(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 12:00 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(27))*-6.\nAnswer: -18*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -929 + 449. Let i = z - -479.9. What is the third biggest value in 13, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 14*f**2\/11 + 58*f\/11 + 8\/11 = 0.\nAnswer: -4, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67998 + -67992. Let m(o) = -6*o + 1 - 5 + o**2 - 4. Determine m(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/28*(-6)\/(-5)*2230\/669.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25449 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -74150 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7.2 (b) -7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-266)*(-140)\/20*(-1)\/22\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000101110 (base 2) in base 11?\nAnswer: 3126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2220*b - 226*b + 199*b + 61404 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + 59. Is g at least 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 27*s**2 + 16*s + 13. Let d(p) = -p**3 + 13*p**2 + 8*p + 6. Let r(f) = -13*d(f) + 6*n(f). Suppose 3*u = -20*u + 184. Give r(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + y**2 - 2*y + 5. Let t = -51 - -56. Suppose t*f + 5*h - 4 = -24, 5*f + 3*h = -12. Let s be r(f). Solve 5*g + 14 - 4 = 0, j = -g - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 50 = 284. Let i be ((-27)\/6)\/(2\/32). Let p = i - f. Calculate the highest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (52\/(-16) - -3)\/((-5)\/(-8)). Let c = -43.1 + 61.2. Let x = c - 18. What is the nearest to n in -5, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c - 4. Let n(t) = 8*t - 12. Let a(j) = -j - 1. Let h(u) = -3*a(u) + n(u). What is -6*h(l) + 13*m(l)?\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - 3*m**3 + 0*m**3)*(2*m + 2*m - 2*m) + (-4*m**2 + 4*m**2 + 4*m**3)*(m + 0*m + m).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97715747 or 97715744?\nAnswer: 97715747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -1\/12*g**4 - g + 0 + 0*g**3 + 1\/60*g**6 + 0*g**5 - g**2. Let v(q) be the first derivative of l(q). Factor v(h).\nAnswer: 2*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/248 and -65\/124.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.7 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111001001 - -10?\nAnswer: 110111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2 - 188*y + 23. Determine z(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1533 + -1530. Which is the closest to -1? (a) 5 (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -55. Let p = n - 15. Suppose -3*w + 647 = -p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49383 + 686001\/14. Let k = 383 + d. What is the second biggest value in 3, -5, 1, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10*(2 + -3)*96650\/(-100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102294519 and 2.\nAnswer: 204589038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634104907.\nAnswer: 31, 3319, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-12))\/(c*c\/((c\/(c*c\/((c\/(c*c*c**(3\/10)))\/c)))\/c)))\/(c*c\/c**(-3\/4))**(-8\/15) assuming c is positive.\nAnswer: c**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011101 (base 2) in base 9?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 + -134.01. What is the smallest value in -1, 5, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*p + 51, -4*b - 32 = -p + 4*p. Let z(y) = -15*y - 7. Let i be z(p). Let u = 476 - i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -2 + (-5 - -16) + 2 - -6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10) - (-54674985)\/75. Suppose -7*c + u = -4*c. What is c rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125566972 less than 1125566971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**3 + 810*q**2 - 3204*q + 3192 = 0.\nAnswer: 2, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 2. Let i(f) = f. Let z be i(-9). Let o be a(z). Which is smaller: o or 22?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0, -2, -769, 1\/5, 295, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 10*a**2 + 67352*a - 53888 = 0?\nAnswer: -6736, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 516.61 - 520. Let m = 3.3899434 + k. What is m rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 32, 0.7, -2, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 22*o - 178. Give q(-6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 1004 - (-36 + 44). Which is greater: 998 or w?\nAnswer: 998","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-1 + 2*n + 1) - 8933 + 8933 + 229*n - 3 + 3 - 3*n.\nAnswer: 228*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 185619946.6 to the nearest ten thousand.\nAnswer: 185620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 23*g + 25. Let a be v(-15). Let c = a + -143. What is the third biggest value in 3, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3196227.641 rounded to the nearest one thousand?\nAnswer: -3196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(2*l**3 - 4*l**3 + 4*l**3) - 841*l**3 + 575*l**3 - 522 + 275*l**3.\nAnswer: 13*l**3 - 522","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5863, -22076, -49097, -86926, -135563, -195008?\nAnswer: -265261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4165 = 3*z - v - 4177, z - 18 = 5*v. Solve -32*y + 34*y + 3 = -3*u, z*u + 12 = -5*y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5674228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + -3. Let z = n - -1.1. Let w = -0.8 + z. Put -4, 0.5, w in decreasing order.\nAnswer: 0.5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1675146, 1675363, 1675588, 1675827, 1676086, 1676371, 1676688?\nAnswer: 1677043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 1 + 1 - (-154 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {n: 3, q: 2, a: 3, z: 3, o: 7}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 1, e: 6, v: 1}. What is prob of sequence ew?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 130754.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (224*j + 268*j - 540*j)*(8 + 1 + 4)*(-j + 2*j + 2*j + (2*j - 4 + 4)*(4 - 5 + 0) + 1 - 1 + j - 2*j + 3*j - 2*j) as s*j + h + i*j**2 and give i.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191.3 - 327.1. What is m rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, s: 5, j: 2, r: 1, o: 2}. What is prob of sequence ooy?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 10:11 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*b + o - 216, -2*b = -3*o - 108. Suppose 3*h + 4*y = y + b, -4*h + 67 = 3*y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1028 or -1027?\nAnswer: -1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + 0.04. Let n = i - -0.17. What is the closest to 0.1 in 3, n, -3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (444\/36 + -12)\/((-2)\/10). Which is bigger: 16 or c?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 + 25*t**4 + 45*t**3 - 245*t**2 + 40*t + 300 = 0. What is t?\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 62 = z, 3*i = 2*z - 0*i - 114. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51772996 by 427876.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1.47, -0.036, 2\/5, -1\/3, 7 in increasing order.\nAnswer: -1.47, -1\/3, -0.036, 0, 2\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839825164 to the power of 1\/2, to the nearest integer?\nAnswer: 42893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**2*o))**(-21)\/(o**(-2\/9)*o**1))**(-12\/11))**(-38) assuming o is positive.\nAnswer: o**(85120\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14703*n - 125 - 1537*n + 41 + 46 + 39.\nAnswer: -16240*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:22 PM?\nAnswer: 12:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, -0.3, 5, -1\/10, -1\/3, -2\/7?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132325\/3 - 44618. Let n = 505 + z. Is -3 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2750 - -3100. Which is the third smallest value? (a) 3 (b) d (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -107352 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68420?\nAnswer: 2, 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2800 and 99\/700.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*u - 4 = 0, 4*s + 4*u + 0*u = 32. Calculate the least common multiple of 10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 246489 and -0.148921.\nAnswer: 246488.851079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23.0324 + -0.3.\nAnswer: -23.3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-39))**(-2\/3)\/(v**(-27)*v**24\/v))**(-25) assuming v is positive.\nAnswer: v**(1700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 169b5 - -18?\nAnswer: 169cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -565686.05 rounded to the nearest 10000?\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -57. Let x(b) = 4*b**2 - 5*b**2 - 7*b**2 - 3*b**c. Let r(k) = -2*k**2. Determine r(x(l)).\nAnswer: -242*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -3*m + 45 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1028\/3 + 3421\/10. What is the common denominator of s and 73\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/10 - (-3 - 633\/30) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2 - 31*k + 1. Let p(j) = -2*j**3 + 4*j**2 + 32*j - 2. What is 3*p(d) + 4*v(d)?\nAnswer: -2*d**3 - 28*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4638*x**2 + 92765*x**2 + 5804*x**2.\nAnswer: 103207*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*k = -56*k + 63 + 241 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -0.1, 4, -1 in ascending order.\nAnswer: -78, -1, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**2\/7 + 636168*s\/7 - 19725052\/7 = 0.\nAnswer: -159073, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 3289 = -3705. What are the prime factors of q?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 6:50 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/(sqrt(9)*-2) + sqrt(65)\/(-1*sqrt(5)))*3)**2*-1 - ((-2 + -4*(-6*sqrt(13)*1 - sqrt(13)))*-5)**2.\nAnswer: -1020653\/4 + 2800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 20, 238 = -3*n + 5*n + 2*x. Let l = 8 - 4. Suppose l*m + 92 = 8*m. What is the highest common divisor of m and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 28. Let n be g(-7). Suppose -3*t = 2*t - j - n, 2*j = -5*t + 51. Let f(r) = -5*r - 6. Let h(o) = 2*o + 3. Give t*h(i) + 4*f(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/3201 + -41647\/54417. Find the common denominator of -23\/7 and t.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 5*x**2 - x + 3. Calculate the least common multiple of 4 and y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3 + 7*i**2 + 14*i + 8 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 11152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1453943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2055*w - 1591 wrt w?\nAnswer: -2055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 425. Let b(z) = 1276466 - z - 1276466. Give b(h(s)).\nAnswer: 2*s - 425","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1.5421\nAnswer: 0.61684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7 - 96)*(8 + (-1353)\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431469889111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10702487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.6 + 10. Let s = -130\/3 - -43. Let w be (8\/30)\/((-12)\/(-30)). Which is the nearest to s? (a) -0.3 (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**5\/30 - 96*k**2 - 165*k. Let m(f) be the first derivative of v(f). Let z(x) = -12*x**2 + 3*x. Calculate m(z(j)).\nAnswer: -288*j**4 + 144*j**3 - 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 + 2. Let w = z - -65.795. Round w to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151*t - 1999*t - 49184 = 0 for t.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -102*k**4 + 4942*k**3 + 2752*k**2 - 392*k = 0. Calculate k.\nAnswer: -2\/3, 0, 2\/17, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*s + 114*s + 271*s.\nAnswer: 290*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -0.211.\nAnswer: -0.00422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -332 - -338. Let x = -2 - -8. Let h = 5 + x. What is the smallest common multiple of b and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*s - 36, 3*l = 2*s - 273 - 284 + 535 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sms when three letters picked without replacement from msmsmmmm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 767388685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwswwwwswwssww. What is prob of picking 3 w and 1 s?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -8*s - y - 74, 2*s + 5*y = 11 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.4, -216377, 1?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -2025.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 97312866, 194625726, 291938586, 389251446?\n\"Answer: 97312860*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163 + 286. Let a = f - 179. Let g = 58 + a. Calculate the least common multiple of 19 and g.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*v + 62*v + 90 = 0. Calculate the greatest common divisor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 3*d + 4*d)*(-953*d + 953*d + 44*d**3) + (-4*d + 3*d + 6*d)*(-3*d + 3*d - 2*d**3).\nAnswer: 34*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 26)*2\/(-4). Suppose l + 4*h - 2 = -10, h = -5. Let q = l - p. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58631439?\nAnswer: 3, 23, 849731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 6*y + 6. Let g(p) = p**2 + 10*p. Let z be g(-10). Suppose -11*k + 13*k - 56 = z. Suppose 4*j = -m - k, m - 4 = 2*j + 4. Determine f(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*v + 4*z, -3*z + 18 = -3*v + 4*v. Factor -11*a + a**2 - a**v + 11*a.\nAnswer: -a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.3 + 9.3. Which is the third smallest value? (a) -5 (b) x (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 586998 and 36.\nAnswer: 1173996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) + 69\/9. Let x = 37 - 35. What is the second derivative of -k**x + 11*k**2 + u*k + k - k**2 wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58205\/218 - 267. Which is the second biggest value? (a) -5 (b) 5\/4 (c) j (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 4:53 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*f - 3*m - 24, 4*f = 4*m + 20. Suppose -f = -4*u - 1. Let z(k) = -k - 4 + k**3 - 1 + 2 + 6*k**u. Determine z(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2 = -2. Suppose -2*t - 3*u + 492 = 0, -j*u = -5*t - 3*u + 1256. Is 36 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1)*j)**(-9\/5)\/(j*j**(-6)*j\/(j\/(j**(-2\/21)\/j)))*(((j\/(j*j**(2\/5)))\/j)\/(j\/j**7*j))\/((j**(1\/7)*j*j*j)\/j*j*j**(-7)) assuming j is positive.\nAnswer: j**(209\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1076040 and 4312.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pil when three letters picked without replacement from {j: 3, o: 1, p: 1, l: 3, i: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 2 + 51 - (1\/(-1) + 2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38536 = 38*a - 46*a. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-622)\/4 - -1). Let n = x + -153. What is the highest common divisor of 39 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565537287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 43*t - 79. Let j be h(-16). Which is the third biggest value? (a) 0.06 (b) -6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -418 - -907. Let n = -953 + v. Let s = n + 469.19. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/5*(-2)\/(-16)*2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 204139 is divided by 295?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 + q - 4. Let r be t(4). Let f = -54 + 63. Suppose -u + f = 4*z, -5*z + 0*u = 5*u. Solve r = -z*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from yxxyybx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*g - 1800, 2*g + 0*g = -5*s + 737. Suppose 0 = 8*p - 140 - g. List the prime factors of p.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*t - 15 = 0, -3*n + 3*t + t + 12 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34626731\/5694150 - 2263\/5423. Let x = h + 1\/350. Which is greater: x or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - l = -1472 - 403, 0 = -i - 3*l + 375. Calculate the remainder when 1135 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7772, -7724, -7676?\n\"Answer: 48*n - 7820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 + 2*t + 4406. Let k be r(0). Suppose -16*f + k - 1014 = 0. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35446 and 148?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 58.6382.\nAnswer: -762.2966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Solve 11 = i*v + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + b?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 2*g**2 + 0*g**2 + (-g + 2 - 2 - 3)*(-3 + 2*g + 3 - 2*g - 2*g - 4*g + (0*g - 2*g + 4*g)*(1 - 4 + 1)))*(-14*g + 14*g - 2*g**2).\nAnswer: -12*g**4 - 60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (684\/15)\/((-1008)\/(-6720)). What is the greatest common factor of d and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1617 by -122089.\nAnswer: -147\/11099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 2. Let s be t(4). Let b = 3 - s. Suppose b + 14 = 3*v. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/12 - v**3 + 2*v**2 - 8*v + 2. Let y be x(-5). Let l be (-6)\/18 - (-30)\/y. Solve -4*i = -l*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/5)\/((-2)\/10). Let i(a) = 1 - 7*a - q*a - 3*a. What is the remainder when i(-1) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8209.115 decades in years?\nAnswer: 82091.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*k = -473*k + 35 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {k: 4, h: 6, i: 1, b: 8, x: 1}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/2 - 7*k**3\/3 + 17*k**2\/2 + 17*k + 11190. Give f(-6).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31377232 by -1.\nAnswer: -31377232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 27*l**2 - 12*l + 42. Let v be d(-14). Solve -5*q - v = 3*p + 4, 2*p - 7 = 3*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 2 - 3 - (-9 + 8 - -8)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5\/7 - 82*h**4\/7 + 156*h**3 - 616*h**2 - 784*h = 0.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 19*f**2 - 78*f + 1. Let x be a(13). Let s be 2\/268*-2*-1. Is s smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Let z be (10 - 0)*(-4)\/10. Let y = o - z. Calculate the lowest common multiple of 9 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/5 - 10*k**2 + 8*k\/5 + 40 = 0?\nAnswer: -25, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4581160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-85)\/(-170))\/(9\/4198). Let b be (-1)\/(-6) + 1397\/6. Let h = b - v. What is the nearest to -0.4 in 1, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2 - s**3 + 0 - 8*s + 4 + 0. What is the units digit of w(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*y + 18 = 0, y + 4*y - 1 = -2*v. Solve 0 = -v*d - 2*d + 5*z + 5, 2*d = -5*z + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**3 + 1. Let u(v) = -5*v + 6. Let a(i) = 12*i - 14. Let h(f) = -6*a(f) - 14*u(f). What is g(h(t))?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1368 and 1717704.\nAnswer: 32636376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1476 and 15\/7052?\nAnswer: 63468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 4. Let a be d(3). Let s be 14\/21*(-9)\/a. Let k(f) = -f**3 - 2*f**2 + 6*f + 7. Is k(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3492293\/4316 - -10515\/13. What is the common denominator of -121\/12 and n?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*r**3 + 134*r**3 + 121*r**3.\nAnswer: 160*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -109114 at least -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 47. Suppose j*y - 31135 = -4425. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 507479, 1014958, 1522433, 2029904, 2537371, 3044834?\nAnswer: 3552293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t - 16*t + 35 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 15*u + 43. Let k be r(-5). What is the highest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(-1) + (-5 - -3). Let a = y + 4. Let l(v) = 3*v + v**2 + a*v - 4*v. Let c(b) = 8*b**2 + 6*b - 2. Calculate -c(g) + 6*l(g).\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + 1426230?\nAnswer: 1426333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -167.176\nAnswer: -166.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-4) - (-19)\/76. Let j = 3 - a. Let r be (6\/33)\/(2\/3). Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-465)\/9*44\/((-3300)\/(-45))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-45) - (-9740)\/18.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/8)\/((-4)\/16). Let x(l) = 12*l + 19. Let a(p) = p - 2. Let k(h) = -2*a(h) + x(h). What is the tens digit of k(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1749?\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*r = -44, 0*k - k - 3*r - 38 = 0. Let w = k - -33. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Let a be b(6). Let p be 8\/a + 4\/10. Suppose -64*l - 360 = -133*l - 21*l. Solve p*r + 0*r = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(2*6\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17526 + 17760. Solve 0 = 6*w + 33*w + x for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 47. Calculate the remainder when 15 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 17*l - 11. Let h(u) = -5*u**2 - 85*u - 54. Let a(m) = -2*h(m) + 11*p(m). List the prime factors of a(-13).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 5*l - 3*r - 3934, -3*l - 2*r = -2322. Let n = -288 + l. Is n a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*j = 61, -j = 5 - 1. Let i be (-3)\/(-5) - (-9)\/p. Suppose m - 5*m + 448 = i. What is the greatest common divisor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*u - 7028043 = -6972443 for u.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4 + 115*t**3 - 1075*t**2 + 2625*t = 0.\nAnswer: 0, 5, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702 a factor of 33269261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 greater than or equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -267, -830, -1931, -3750, -6467, -10262, -15315?\nAnswer: -21806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwbrrrbrrwwrwr. What is prob of picking 2 r?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 0)*(-2 + 4 - 7)*(-4*q**2 + 6*q**2 + 5*q**2).\nAnswer: 140*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231 + -2?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 + 117855294888\nAnswer: 117855294888.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -456 - -455.99995558. Round t to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*r - 7889 + 66783. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 1271*u + 2541*u - 1270*u. Let z(i) be the third derivative of 29*i**5\/60 + i**3\/6 + 2*i**2. Determine s(z(f)).\nAnswer: 841*f**4 + 58*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*j - 34*j + 11*j)*(j**2 - 4*j + 4*j)*(6 + 10*j**2 - 6).\nAnswer: -390*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28191327 and -3.9286733?\nAnswer: 28191323.0713267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**4\/12 + 3*d**3\/2 + 5*d**2\/2 + 96*d - 2. Give i(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/5, 1, 3, 2409?\nAnswer: 2409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19665 by -1.\nAnswer: 19665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1606.1 + -1702. Let j = 96 + z. What is the third smallest value in -3, -4, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 3*h + 3*b - 7, 2*b = h. Let a be (0\/h)\/(1 - 2) - -87. Suppose -u - a*u**2 + 84*u**3 + 1 + 2 + 3 - 2*u = 0. What is u?\nAnswer: -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 799919*j**2*v**3 - 20203*j*v**3 + 37*v**3 wrt j.\nAnswer: 1599838*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 7, -0.15, -2, -1.7, 5, -1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9654 is divided by 432.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12. Suppose s = -8*m - 14*m + 54098. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220833294 divided by -3\nAnswer: 73611098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -417, -19, -4 in decreasing order.\nAnswer: -4, -19, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446148 is divided by 55746.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.066 and -129.17.\nAnswer: -8.52522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 0. Suppose 0 = f*j - 67 + 13. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268246.1 millilitres in litres?\nAnswer: 268.2461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**4\/3 - 101083*g**3\/3 - 170406905*g**2 - 3342582425*g\/3 + 136828773500\/3 = 0.\nAnswer: -10105, -20, 67\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45)\/(-12) + (-2)\/(-8). Suppose -4*z = -2*z - u. What is the remainder when 13 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 4. Let q(i) = -i**3 + 2*i**2 + 9. Let t be q(3). What is m(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 2*m + 2*y - 5 = 0, m - 2*y = 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 11 + -5 + (4 - 1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*g - 1717 + 9928 = 0. Suppose 8 = 3*y - 7*y. Sort g, y, 0.\nAnswer: y, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 20153?\nAnswer: -40306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91.9708 + 92. Let n = 0.108179 + 20.162621. Let z = k + n. What is z rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*d + 8*d + d**2 + 2*d.\nAnswer: d**2 + 51*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(63\/3))\/((-9)\/(-18))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-33*c**2 - 91*c + 91*c)*(-96 - 37*c**2 + 96).\nAnswer: -1221*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1079 and 611.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 3 (c) -376.453 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3 (c) -10841 (d) 5 (e) -4\/3 (f) -1\/11 (g) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 20. What is the third derivative of -18*q**2 - t*q**4 - 11*q**4 + 29*q**2 wrt q?\nAnswer: -384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44197795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**4\/24 + 11*i**3\/6 + 6*i**2 + 3. Let w be m(-5). Do 20\/3 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 140105728*o - 2453701877301248.\nAnswer: -2*(o - 35026432)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.05 (b) 3 (c) -182 (d) 5 (e) 10 (f) -0.4 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 27.3. Let b be (-2)\/((-4)\/22) + -3. Suppose 3*z - b = 11*z. What is the closest to 1 in 1\/4, o, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 - 247*l - 3785. Determine p(-105).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 - (111 - (48 + 4))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27318 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/5)*w\/w**4*((w\/w**3)\/w)\/w*w*w**2\/w*w)\/((w**(1\/2))**(-34)*(w**(1\/3)\/w)**18) assuming w is positive.\nAnswer: w**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416805490.\nAnswer: 2, 5, 17, 2451797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 16\/56 - (1 + (-122)\/14)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1020?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 455 - 269. Determine l, given that -13*l**2 + 45 + 15*l + t*l**3 - 12*l**2 - 181*l**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -11*r**4\/12 - r**2\/2 - 19*r. Differentiate u(c) with respect to c.\nAnswer: -22*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 770 and 525910?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17749*h**5 - 3302*h**3 - 8*h**2 - 16082592*h wrt h?\nAnswer: 1064940*h**2 - 19812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 5:54 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1922153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -3, -41, -107, -207, -347?\nAnswer: -533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**14*p)**(-19) assuming p is positive.\nAnswer: p**(-285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 11) to base 10.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**4\/8 + 5*z**3\/6 + 37*z**2. What is l(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 499, -60 in ascending order.\nAnswer: -60, -4, 1, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, -4, 1, 0, 8 in ascending order.\nAnswer: -71, -4, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + -36. List the prime factors of n\/(-8) - (6\/(-8))\/(-3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -59601226, -59601223, -59601218, -59601211, -59601202, -59601191?\n\"Answer: l**2 - 59601227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 18. Determine w(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.8 + 1.4. Put r, 1, 5\/4 in descending order.\nAnswer: 5\/4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 17*g - 34515 = 0. Suppose 3*l - 5*w = -885 + g, 0 = 4*l + 4*w - 2328. List the prime factors of l.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*c + 2. Let p(n) = -237*n + 45. Let t(v) = 119*v - 23. Let s(i) = 6*p(i) + 11*t(i). Is s(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 46*r = -42 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 + -38.42216\nAnswer: -38.28216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35835120089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (14 - 5) - -6 - 9) + 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 3*w - 32.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(((-1)\/(-3))\/(8\/(144\/(-6)))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6369286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8181 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 53*u**2 - 59*u + 164. Determine w(52).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 516899707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 142, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209407 and 190370.\nAnswer: 2094070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 104*c**2 + 8*c + 416.\nAnswer: -2*(c - 2)*(c + 2)*(c + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 3 - -5 - (28 + -27) - -10) + 2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from jrjjjjjjjrjrjjjjjrjj.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3903*a - 2514*a + 1036*a - 1818*a to the form p*a + t and give p.\nAnswer: -7199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04532 times 0.816?\nAnswer: -0.03698112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/388 and -17\/616000.\nAnswer: 59752000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y - 10 + 11 + 8*y. Let w = 6 + -11. Let j = 5 + w. Give m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -72, -73, -74, -75?\n\"Answer: -k - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 19 + u**3 + 50*u**2 + u - 4813*u**4 + 17 + 4830*u**4 to h*u**3 + w*u + g*u**4 + p + q*u**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-172)\/((-2)\/2*2). Let c = q - 63. Suppose 7*u + 2 = c. Solve -3*p - u = -6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*h**2*m**2*v**3 + 171*h**2*m**2 + 3*h*m**2 + 1059*h*m + 2*m**2*v + m*v**3 + 2*v**3 wrt h.\nAnswer: 46*m**2*v**3 + 342*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 11. Suppose 6*v + 8*v - 128 = -2*v. Calculate a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 13924.\nAnswer: 13923.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -64, -51, -36, -19?\n\"Answer: u**2 + 10*u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 78*l**2 + 85*l - 6680. Determine m(78).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7388 at most as big as 18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/71781 and 5\/4689692?\nAnswer: 14069076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*o - 38 = 4, 2*o = -4*p - 34. Let q = p + 185. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 16 = -25. Suppose 25 = 3*g - u*z + 4, 5*g - 11 = -z. Solve 4*q - 5*q = g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**3 - g - 84958*g**4 + 2*g**2 - 4*g**2 + 84946*g**4 to the form z*g + u + i*g**3 + j*g**2 + h*g**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105.7 + 113. Let k = 45.3 - n. Let j = -34 + k. What is the biggest value in -0.5, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 1822*x + x**2 + 0*x**2 + 2*x**3.\nAnswer: 2*x**3 + 2*x**2 - 1822*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78089 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/39 and -59\/579597.\nAnswer: 7534761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -235973, -236010, -236063, -236126, -236193, -236258, -236315?\n\"Answer: f**3 - 14*f**2 - 2*f - 235958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 4*f**3\/3 + 24*f**2 - 69. Let a(r) = 0. Calculate r.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {o: 1, j: 1, p: 1, e: 2, l: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 11*f - 12*f = 0. Let m(x) be the first derivative of -6 + 3\/16*x**4 + 7\/2*x**5 - 1\/2*x**2 - 5\/3*x**3 - 49\/24*x**6 + f*x. Factor m(g).\nAnswer: -g*(g - 1)**2*(7*g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 2*v - 5*v - 5, -15 = 3*v. Let s be ((-25)\/10)\/c*-26. Let m(b) = b**2 - b - 19. Let u be m(6). Which is smaller: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 13. Let i = 20 - b. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -0.4398\nAnswer: -4.8378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 5*n + 19*n + 2*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v + 33345 - 33340 + 84*v to the form y*v + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3842 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1627863400 rounded to the nearest 1000000?\nAnswer: -1628000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 - -7 - -3)*1\/1. Which is the closest to g? (a) -15 (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/103? (a) 0.86 (b) 3 (c) -3\/5 (d) 0.2 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*k + 37 + 155. Let l be (k\/9)\/((-4)\/(-6)). Let w = -1\/21 + -2\/7. Which is the second biggest value? (a) -1 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z. Let w = z + 7. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*u + 18 = 0, 13 = 4*c + u - 37. Let b = 26 - c. What is the derivative of -b*j**4 - 2 + 3*j**4 - 3 wrt j?\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -471 + 684. Calculate the remainder when l is divided by (-19)\/(209\/(-242)) - -14.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 5:26 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 1 (c) 5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5 - 244144*k**4 + 488224*k**3 + 2929792*k**2 - 9765568*k + 7812352 = 0.\nAnswer: -4, 2, 61034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(931) - (sqrt(19) - 5*(sqrt(19) + -1))**2.\nAnswer: -329 + 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1109, 8909, 30067, 71261, 139169, 240469, 381839, 569957?\nAnswer: 811501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (294\/(-245))\/((4\/10)\/(-2)). Solve 11 = i + k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgpr when four letters picked without replacement from pmggr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -175.8 less than 0.2?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -13, 4 in descending order.\nAnswer: 23, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -735 + 745. Suppose -76 = -x*f - 66. Suppose j + 2 = -0*j. Sort j, f, 3 in descending order.\nAnswer: 3, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3200 divided by -114376\nAnswer: 400\/14297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1044108\/115*(22\/(-8) + 3). Let s = 2282 - v. Calculate the common denominator of (-9)\/6*24\/(-14) and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(-98)*1\/1*-2)\/(8\/376)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4768 and 2064.\nAnswer: 615072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*y - 258*y**2 + 1 - 74*y - 86*y + 338*y - 92*y to w*y**2 + s*y + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-16)\/(-4)) + 3. Let a be v\/(-9) + (-241020026)\/(-117). Round a to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjwjjjljjljjwfflwjwl. What is prob of picking 2 j and 1 w?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/sqrt(6) + -4 - (sqrt(136)\/(sqrt(48)\/sqrt(6)) + sqrt(17))**2.\nAnswer: -72 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*y - 3245 = 35*y + 5*o, 0 = 4*y - 5*o - 2592. Does 37 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1222 (base 3) to base 13\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*n**4*r**2*w**3 - 10*n**4*r*w**3 + 13*n**2*r**2*w**3 - n*r**2 + 229*r**2*w**3 + r*w**3 wrt n.\nAnswer: 240*n*r**2*w**3 - 240*n*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.878 to 1 decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 26. Suppose -2*r + w = -k, 2*r - 6 - 12 = 3*w. Solve -4*o = -r*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l + 55 + 317 = -57 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let w(k) = -29*k**2 + 199*k. Determine v(w(b)).\nAnswer: -29*b**2 + 199*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 178. Suppose -230*n = -211*n - 551. Calculate the remainder when i is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*r**2 - 29*r**2 + 0*r**2)*(1414 + 9*r - 1414) + r**3 + 2*r**3 - r**3 + 3*r**3 - 2*r**3 - 3*r**3 in the form l*r + b*r**3 + a*r**2 + k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {x: 3, i: 3, f: 1}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 201, 80, 0, -7?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1317*15.288\nAnswer: -20134.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 45*m**2. Let z(a) = -164*a**2. Determine d(z(p)).\nAnswer: 1210320*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-12))\/(5\/30). Suppose -g*v = 8*v - 756. What is the lowest common multiple of v and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 + 1\/(-2). Suppose q = -0*g + 9*g - 207. Suppose x + 2*x = -l + 2, -4*l + 3*x + g = 0. Put 1, l, -4 in increasing order.\nAnswer: -4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 114 = -j - j, 156 = 2*j + 3*q. Suppose -o = -5*a - 12 - 5, 0 = 4*o - 2*a - 14. Let f = 10 + o. Calculate the remainder when j is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -13*u + 14*u + 62 - 66. What is f(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593233972 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from kkqqqvqqkqvqkv.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 0.201?\nAnswer: 0.2814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 16. Let f(c) be the first derivative of 3\/4*c**4 + 3 - l*c - 3\/2*c**2 + c**3. Determine t, given that f(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**33*c*c**(-2)\/c assuming c is positive.\nAnswer: c**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 3*t + 16. Let y be g(5). Suppose -392 = -10*j + y*j. Suppose 8 = -3*c + j. What is the highest common factor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 4*l + 5*j, 0*l - 5*l = 3*j - 126. Suppose -2*w = -3*w - 16. Let p = w + l. Calculate the greatest common divisor of p and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k**4 - 64*k**3 + 17*k**2 + 509*k + 432. Let y(q) = 3*q**4 - 33*q**3 + 9*q**2 + 255*q + 216. Let v(p) = 3*n(p) - 5*y(p). Factor v(o).\nAnswer: 3*(o - 6)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f**2 + 26*f**2 - 57*f**2.\nAnswer: 25*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/((-5)\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 less than or equal to -0.096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 123832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 332150720*q**2 - 6895256299782400*q.\nAnswer: -4*q*(q + 41518840)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 7. Let b = -15 + l. What is the second biggest value in b, -4, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1662810613?\nAnswer: 17, 29, 3372841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01286 less than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 79, 71, 31, -53, -193, -401, -689?\nAnswer: -1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -11. Let v(n) = 10*n + 0 + 1 - 18*n + 7*n. Let a(s) = 4*s - 6. Calculate y*v(z) - 2*a(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**3 - 3*m**2 - 11*m + 6. Is o(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/9*m**2 + 23\/9*m = 0 for m.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 45075518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*h + 19 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 12*k. Let x(p) = -10*p**2. Give g(x(w)).\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5*2\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -1\/2, 0.1, -2\/113, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 - 11*i - 28. Let a(x) = 2*x**3 + 7*x**2 + 22*x + 57. Let c(f) = 4*a(f) + 9*p(f). Let y be c(-7). Solve -y*l + 10 = -6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58806958, -58806946, -58806934, -58806922?\nAnswer: -58806910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - r + 11*r**3 + 0 + 4 - 4*r**3 as y*r**3 + b*r + z + q*r**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 6*y - 49. Calculate the greatest common factor of 72 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112 - 102. Suppose -10*w + n = -8*w. Suppose 0 = -g, -w*g + 1226 = 3*h - h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 12*a**2 + 6*a + 7. What is the hundreds digit of t(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14939521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692273802?\nAnswer: 2, 846136901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-1)\/(21\/(-14)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 33 = -5*a, -5*d - 10 - 5 = a. Suppose -a*k = -2*j - 329, j = -3*j - 8. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26146051237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2876.027108 - 2881.284. Let j = -2.9568943 - z. Let d = j + -2.3. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = -4. Let g = 43 - 50. Sort -2, u, -3, g in descending order.\nAnswer: u, -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34000, 68936, 103872, 138808, 173744?\nAnswer: 208680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5158*j**4 - 241*j**4 - 306 + 1893*j**4 + 37 wrt j.\nAnswer: 27240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 7, q: 3}. Give prob of sequence qr.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - f**2 - f - 2. Let g be s(0). Let a be 0 + 1\/g*0. Let o = a - -5. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 o, and 1 k when three letters picked without replacement from uooooeoodookouw?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 = 0, 1 + 3 = 5*n - 3*w. Let o(p) be the first derivative of -1\/3*p**3 - 9\/4*p**4 + 0*p**2 + 0*p + 4. Calculate o(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-10)\/((o\/(o*o**12))\/o) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - (-93)\/(-15)) + (-5490)\/(-75). Let m(y) = 4*y**2 - 3*y - 6. Let g be m(-4). Let w = i - g. Solve -w*d = -5*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59353 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82084 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16\/5)\/w*w*w**(-24)*w)**(2\/11) assuming w is positive.\nAnswer: w**(-262\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1400) - (sqrt(14) + (sqrt(1694) - sqrt(1694)*-2)))\/(sqrt(2450)*-1).\nAnswer: 54*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92.9 and 0.1.\nAnswer: -9.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-2\/3)*y\/y**(4\/3)*y**(-3)*(y*y**(2\/11)*y)\/y assuming y is positive.\nAnswer: y**(-16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 140 = i, -5*n - 675 = 4*i + i. What is the remainder when 3*-3*(i\/6)\/4 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 = -2*c, -4*i + 174 = 35*c + 166 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0.1. Let x = -623 + 623. Which is the closest to w? (a) -1\/2 (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8646)\/7260*(-15)\/(-12) + 15\/10?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (120\/(-156))\/(168\/(-754) - (-24)\/348)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(240\/(-64))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(112)\/sqrt(2)*4)\/(((sqrt(32) - sqrt(128) - sqrt(32))*-5)\/(sqrt(324)*1)).\nAnswer: -324*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76803440 and 18690.\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**3*v**2 + 229*q**3*v - q**3 + 4*q**2*v - 2*q*v - 30*v**5 - 877*v**2 + v wrt v?\nAnswer: -2*q**3 - 600*v**3 - 1754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 5, 1\/4, -19, -5\/316, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5 = 3, -m = -5*c + 111. What is the remainder when 600\/(-70)*140\/(-30) is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4 = 4*y, -3*f + 7*f + 1 = 3*y. Let v = 0.3 - 0.2. Let k = 8546 + -8546. What is the closest to v in k, y, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*f - 39*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 11) to base 14.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 44 = p. Suppose -r - 8 = 4*y - 5*r, -4*r = -2*y - p. Differentiate -23*n**y - 9*n**3 - 11*n**3 - 27 + 6*n**3 wrt n.\nAnswer: -111*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + h. Let c be 2 + h + 11280016\/(-8). What is c rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.25, 377, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, c: 6}. Give prob of sequence ccy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, i: 1, e: 1, v: 1}. Give prob of picking 1 v, 1 i, and 1 n.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -567 - -1645\/3. Let y = -271\/15 - o. What is the fourth smallest value in y, 2, -3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18045 + -37173\/2. Is c >= -543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -55. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2101.1 + 1.34244.\nAnswer: -2099.75756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, 4, 1 in ascending order.\nAnswer: -299, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 3*q**2 + 4*q**2 + 9*q.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 305?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 2*t + 2*t**2 - 4*t**2)*(-3 + 3 - 16*t) as b + p*t**2 + i*t + g*t**3 and give p.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1192 - 1104. What is the smallest common multiple of a and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6233015.54602 - -145.54602. Let l = -6232790.99922 - p. Let q = -79 + l. What is q rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -36*b - 295. Let x be h(-9). Let u(w) = x*w + 14*w + w. Let c(f) be the first derivative of -2*f**3\/3 - 2. Determine c(u(y)).\nAnswer: -3872*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*((-4206)\/(-1402))\/((-1)\/((-14)\/(-6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 2546*j**3 + 4*j - 2762*j**3.\nAnswer: -5308*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 + -339. Suppose x = -67*s + 54*s + 39. Which is the third biggest value? (a) s (b) 116 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1129 - 1129. Which is greater: b or -5\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-1 - -17)\/(-2). Let c(u) = -u**2 + 6*u + 6. What is the remainder when c(5) is divided by (-36)\/b*4\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 10 = s + 3*l, 0 = -2*s + 5*l. Let p be 3\/(31185\/(-2256)) + s\/45. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1263.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - -1. Let g = -20.8 + 21. Let u be (-36)\/15 + 6\/15. Which is the second smallest value? (a) u (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 + (-115)\/(-3). Let l = n - 10. What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzfzmmzbmmmddd. Give prob of sequence zb.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/55)*z\/z**(4\/5))**(-41) assuming z is positive.\nAnswer: z**(-533\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -n + 9, -o + 3*n - n - 9 = 0. Which is the third smallest value? (a) o (b) -4 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14063 + 0.24063. Is -32907 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 424*o**2 - 547 wrt o?\nAnswer: 848*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 90762?\nAnswer: 1\/15127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + ((-51)\/8 + 1)\/(-1). Which is smaller: u or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8*(5 + -5). Suppose 5*s = -h + 47, -179 = -b*h - 5*h + 3*s. What is the remainder when 147 is divided by h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 4*x**2 - 3*x + 1. Let t = -14 - -33. Let u = -13 + t. Suppose v - 3*v = -u. Calculate y(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 6:09 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:50 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -198*i*l**4 + i*l**2 - 4928*i*l + 57*i + 23387*l**5 - 2 wrt l.\nAnswer: -4752*i*l + 1403220*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -336, -334, -332, -330?\n\"Answer: 2*c - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 558\/119 - 1634\/595. Calculate the common denominator of -47\/21 and t.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (146\/(-12) - -12)*42?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013805 rounded to four decimal places?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1160\/(-70) + 16)\/(6\/(-483)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/10)\/((-2)\/(-10)). Suppose -l - 3*k + 15 + x = 0, 17 = 4*l + k. Differentiate 2*c - l + 7 + c wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3213992?\nAnswer: 2, 43, 9343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -403c + 10?\nAnswer: -402c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = 8*h - 317. Let w = 15 - 2. Let l = w - h. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2\/i**5*i\/i**23*i\/i**(3\/7))**(-26\/3) assuming i is positive.\nAnswer: i**(1482\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2650752*c**3 + 9*c**2 - 38804881.\nAnswer: 7952256*c**2 + 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (2 - 0)) + (174 - 173)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwhj when four letters picked without replacement from {w: 2, h: 7, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81846095?\nAnswer: 5, 16369219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is -16353985 smaller than -16353979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184 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: What is the second biggest value in -0.2, 3, -1, 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 34*b**2 + 269*b - 12. Let g be h(-8). Solve -5*d - 5*q - 25 = 0, 4*d - 4*q + g = -0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75039 at least as big as -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*d + 12, -7*g - 3*d + 10 = -5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4940329*b**5 - 3*b**2 - 73*b - 104?\nAnswer: 296419740*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*j + 52, -2*j - 2404 = -5*w - 2402. Solve -54*x = j*x - 476 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9207531?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x - 5. Give a(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64, 40, 10, -26?\n\"Answer: -3*i**2 - 15*i + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15223556931 to five decimal places.\nAnswer: 0.15224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + d + 13 = 0, -3*d = 288*c - 290*c + 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60677333.\nAnswer: 6373, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/20 and -1\/902?\nAnswer: 9020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cphhhhphhhhphhcphhhc. What is prob of sequence pchh?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:48 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2630\/80 + 1\/8. Let t = -25 + u. Let p(o) = 4*o**3 - 4*o + 1. Let x(m) = -6*m**3 + 6*m - 2. Give t*p(j) + 5*x(j).\nAnswer: 2*j**3 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 1. Let f(n) = -n**3 + 5*n**2 - 5*n - 12. Let q be -9*1\/(-3) - (1 - 4). Let c(k) = q*w(k) + f(k). Does 27 divide c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -19 - (36 + (-12 - 18))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 56?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14776722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -72*k. Let v(n) = 4*n. What is m(v(y))?\nAnswer: -288*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/948)\/7*(-352)\/(-77). Let a = d - -6927\/11060. Calculate the common denominator of a and -89\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 11:09 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 + 1 - 1)*(3*u - 2 + 3*u - 4*u + 4*u**2) to l*u + p*u**4 + b*u**3 + m*u**2 + q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62706 + 87789. Let q = o + -45083. Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042452 (base 10) in base 13?\nAnswer: -566869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 - 8882)\/(-13) - (-8 + 2)*1 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(98) + 1*sqrt(98) + -1)*-2)**2.\nAnswer: -112*sqrt(2) + 1572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:42 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, a: 2, x: 1, z: 4, m: 9}. Give prob of sequence mz.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 337740, 675486, 1013232, 1350978?\n\"Answer: 337746*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 1\/7, 0.07, 11, -4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11110011 (base 2) to base 6\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 20 = 2*v, -v = -2*c + 2*v - 5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/120 + t**5\/60 - t**3\/2 + 43*t**2\/2 + 79*t. Let i(l) be the first derivative of y(l). Give i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1)*(2 - 2 - 2*r) - 3*r + 1 + 0*r + 2*r.\nAnswer: 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + 4. Suppose 3*h + 8 = z. Solve 5 = 3*s + h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + 6*(sqrt(26)*-1)\/sqrt(2)))**2.\nAnswer: -540*sqrt(13) + 4437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 0.8, 0, -0.3, 2\/7, 1\/4 in ascending order.\nAnswer: -0.3, 0, 1\/4, 2\/7, 0.8, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) + (-473)\/(-99). Solve 0 = 5*h - 4*x - 1, w*h - x - 7 = -3*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3990 and 8610?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5473.35556 to 1 decimal place.\nAnswer: 5473.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12588511.9999552 + -12588303. Let r = 209 - s. What is r rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(1092\/126*(-6)\/32)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138100.7 plus 0.3?\nAnswer: 138101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22002 (base 3) in base 15?\nAnswer: e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009411 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -8*h**5 + 4*h**4 + 111*h**3\/2 - 76*h**2 + 55*h\/2 - 3 = 0.\nAnswer: -3, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/(-10))\/((-2058)\/(-5145))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 5) to base 12\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 187*d**2 + 4710*d - 11. Calculate i(157).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.54. Which is the third biggest value? (a) d (b) -0.08 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7099*s**2 - 7178*s**2 + 14003*s**2.\nAnswer: -274*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 1:27 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 53942?\nAnswer: -53940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 9*f**2 - f + 7. Let k be n(9). Let s(x) = x + 2. What is s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 92097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158180, -3, 18, 5.\nAnswer: -3, 5, 18, 158180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6336700 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 32*j**2 + 37*j + 152. What is c(-31)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9799531 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(304) - (sqrt(304) + -4)**2) + (sqrt(304)*4*-2)**2 + sqrt(304) - (-4*(sqrt(304) + 2 + sqrt(304) - sqrt(304))*5 + 5).\nAnswer: 156*sqrt(19) + 18851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13599 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 6)*(3*a - 4*a + 3*a) - 18*a + 3*a - 18*a + (4*a + 5*a - 6*a)*((2 - 2 - 1)*(0 - 4 + 6) - 5 + 0 + 3) in the form d*a + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 3*z**3 - 10*z**3 - 10*z**3 as d + y*z + v*z**2 + t*z**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4159 + 4159 + s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 2 - 2 + 0*k**2. Let z(p) = 2*p. Determine z(r(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*s - h - 1126, 0 = -5*s + 5*h - 1125. Let b = 899 + s. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 39367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -992*w. Let s(x) = -84*x - 80*x - 88*x + 250*x. Calculate s(i(v)).\nAnswer: 1984*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-13)\/416*88\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -102446 (base 7) in base 2?\nAnswer: -100010100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o**2 - 9. Let h(n) = -n**2 - 1. Suppose 5*x = -x + 54. Let y(b) = x*h(b) - a(b). Let p(j) = 7*j. Determine y(p(c)).\nAnswer: 147*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-20) + -3)\/((-5)\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 4. Let j(k) = 2*k**2 + k - 2582. Give j(s) - 3*t(s).\nAnswer: -s**2 + s - 2570","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**2. Let w(h) = -16*h + 3. Determine j(w(v)).\nAnswer: -1024*v**2 + 384*v - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**7\/945 - 2*y**6\/15 - 7*y**5 - 196*y**4 - 3087*y**3 + 2*y**2 - y + 416. Factor u(l).\nAnswer: -2*(l + 9)*(l + 21)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 0. Let q be (-2)\/(n\/4 + 2). Suppose -2 - q = -6*w. Solve w = -4*i + 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156602 is divided by 12024.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, u: 6, a: 2, t: 1}. Give prob of picking 1 a, 1 t, and 2 f.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -t + 8. Suppose -t + 65 = -m. What is the remainder when 68 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*d**2 - 90*d + 10*d - 172*d**2 + 135*d**2 as x*d + h*d**2 + z and give x.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5601713.\nAnswer: 13, 19, 22679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -5.46, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (812 - 479 - 2428 - 308 - 2340 - 363)*(7*z - 5*z - 6*z).\nAnswer: 20424*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 3*h + 4. What is the biggest value in h, 3\/4, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4083 is divided by 4059.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-6)*(-24)\/(-18). Let b be 0 + -1 + (g - -8 - 5). Solve 2*t + 8 = -4*k - 8, 2*t - 4*k = b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 643 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c**4*u - 12*c**2*u**2 + c + 77711*u**2 + 2 wrt c?\nAnswer: 12*c**3*u - 24*c*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 310 and 3379.\nAnswer: 33790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 0.18.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -108, -55, -2, 51?\n\"Answer: 53*l - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.216 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*b + 1223 = 0, 2*h - 3*b = -4*b - 490. Suppose p + 1210 = 3*f, 0 = -4*f + 3*p + 1433 + 177. Let d = f + h. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kdrdgggkkugvvugr. Give prob of picking 2 v, 1 u, and 1 g.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13414 - 13435. Sort 1\/3, -2, -1\/3, w in descending order.\nAnswer: 1\/3, -1\/3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 + -4.6. Let f = p - -3. Let w be (1\/4)\/(7\/4). What is the second biggest value in f, w, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6568866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13302223032 - 1013?\nAnswer: -13302230111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*r**2 + 122*r**2 - 2 + 1.\nAnswer: -17*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 - 25) - 32?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1548176 or -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 601 = -503 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -1001*x + 996*x. Suppose -x*h - 3875995 = -b, -3*h + 3*b - 6*b = 5814015. What is h rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -5133?\nAnswer: -5125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 42 = o + o - 2*o + 9*p, -3*p = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 1582 + 3*o + 1582.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15183 to three decimal places.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose -3*h = l + 4*l - 33, 0 = h + y*l - 15. Suppose -h*b + 2*b + 16 = 0. Solve 2*g + g + k + 6 = 0, 0 = -b*g + 2*k - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 921\/9)\/(1\/3). Suppose 13*v = 11*v + s. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b22ba - -6?\nAnswer: -6b22b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 38 = s - 5*p, -197 = -4*s + 5*p. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9))**(-38))**(-2\/63) assuming p is positive.\nAnswer: p**(-152\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15854263 or 15854264?\nAnswer: 15854264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 3*y - 4. Suppose -31*s + 42*s + 33 = 0. What is k(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 678853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*w**3 + 483*w**3 + 10*w + 1770*w**2 - 1769*w**2.\nAnswer: 390*w**3 + w**2 + 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -11458\nAnswer: 45832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylddaaqyqgaaa. What is prob of sequence glyy?\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = a - 3*k, -4*a + 0*k - 3*k = -19. Let n = a - 3. Let w(o) = o**2 + o - 2. Give w(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 11*y**2. Let r(x) = 194*x**2 + 2. Give r(b(w)).\nAnswer: 23474*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b - 11. Let i(l) = -51*l + 429. Give -2*i(x) - 54*s(x).\nAnswer: -6*x - 264","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30637 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6887339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/(d*d*d*d**6*d)*d**(-5)\/(d*(d**1\/d*d)\/d) assuming d is positive.\nAnswer: d**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-49) - 16\/(-7). Suppose 3*x - 118 = -o*p, x = -4*x + 5*p + 230. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y - 3. Suppose 2 = -2*z + 5*n + 22, -16 = 4*n. Let q be t(z). Let h = 16 + q. What is the remainder when 47 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -15*g + 374. Let n be i(25). Sort n, 5, 19 in decreasing order.\nAnswer: 19, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/4)\/((-9)\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - z = -34 + 9, -n - 4*z + 24 = 0. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 3*f**2 + 11*f + 1. Is q(5) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1386144 (base 10) to base 2.\nAnswer: 101010010011010100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*z - 417*z - 148*z - 6 - 2)*(-4 + 3 + 3).\nAnswer: -1178*z - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 8:33 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 11}. Give prob of sequence uu.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -52) + (-3 - (7 + -3)) + 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*y + 2 = 0. Let i(r) = 4*r - 1. Let b(f) = -f**2 + 6*f - 3. Let c be b(5). Let s be i(c). Solve y*w = s*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*h**3 - 1640 - 725876*h + 725876*h.\nAnswer: -23*h**3 - 1640","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 5*p**2 - 13*p + 13. Let j be o(-7). Solve 0 = j*w - 15 + 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 305, 324, 345, 368, 393, 420, 449?\n\"Answer: r**2 + 16*r + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14034 + 683. What are the prime factors of w?\nAnswer: 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 2:55 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 3)*49\/21. Let u(j) = n*j**2 - 2*j - 1 - 15*j**2 + 3. Determine u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 + 22*q - 15. Let p be c(-12). Suppose -74 = -p*t + 169. Suppose -3*f - 324 = -7*f. What is the greatest common divisor of f and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1520 + 1026 = 19*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 42240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -14*x**2 + 22*x + 8. Let w(z) = 9*z**2 - 15*z - 5. Let b(h) = -5*p(h) - 8*w(h). Let r(l) = -l. Calculate -b(t) - 8*r(t).\nAnswer: 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 118. What is the tens digit of (-12)\/8*(-51)\/9*p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2 + sqrt(200)) - (sqrt(200) - -2*sqrt(200)*-4)) + 4 + 2)**2 + 0.\nAnswer: 960*sqrt(2) + 7264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 22*f**2 - 21*f - 51. Let n be v(23). Let x be n\/1 + (-4)\/(-6 + 2). Which is the closest to 2\/3? (a) -1 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16934333, 16934330, 16934327?\n\"Answer: -3*g + 16934336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 81 (base 12) to base 13\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 1, t: 1}. What is prob of picking 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1972081?\nAnswer: 643, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2458, 2455, 2452, 2449, 2446, 2443?\n\"Answer: -3*r + 2461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18327953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 6:48 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*(-276)\/161 + 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 f when three letters picked without replacement from {f: 2, g: 5, h: 3, l: 7}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, g: 5, d: 1, h: 3}. What is prob of sequence hh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y + 4. Let r be b(11). Let j be r\/5 - 8\/(-20). Suppose 0 = -3*v + 5*o - j - 1, o = v + 1. Solve -3*u = v*t - 9, 2*u = 2*t - 2 + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -405592614*v**3 + 7*v**2 + v + 1411904 wrt v.\nAnswer: -2433555684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217 + -1108105890826.\nAnswer: -1108105890609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008714 rounded to seven decimal places?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let i = 1 - -1. Let s(f) = 0*f + f - i*f - 4*f. Let b(o) = -6*l(o) + s(o). Let h(p) = -43*p**2. What is h(b(d))?\nAnswer: -43*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47 and -6.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135005187293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-1062)\/10)\/(-59))\/(-3)*(-295)\/(-3)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -287, -940, -2207, -4292, -7399, -11732?\nAnswer: -17495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10652, 10630, 10608, 10586, 10564?\nAnswer: 10542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.12, -11.1, 2\/55?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 965229720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620 + 8122 = 11*s. What are the prime factors of s?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4187, 4131, 4075?\nAnswer: 4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -4)\/1 + 1 + 2. Let m be 10\/12*4\/15. Factor -2\/9*i**3 + 0*i - m*i**y + 0*i**2 + 0.\nAnswer: -2*i**3*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 166 = 170. Suppose 21*i = 25*i + 20, -i + 58831 = o*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 - 6\/6. Put i, -2, 12 in descending order.\nAnswer: 12, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11278, 11281, 11284, 11287?\nAnswer: 11290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 91, -4, 3\/8, -1\/5, 4\/5, -3?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + m - 6 = -2, -5*r + 3*m = 8. Let i(l) = 38*l**2 + 6*l + 0 + 5 + 63*l**2. Is i(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*v - 83*v - 4*v**2 to l + i*v + j*v**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 + 8*s - 7. Let z(y) = 2*y**3 - 5*y + 5. Give -5*c(w) - 7*z(w).\nAnswer: w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 6*c**2 + 1. Let z be a(-6). Let s = z - 2. Is 1\/9 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*k + 173*k = 244*k - 1113*k - 22480 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 201600 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*b**4 + 1\/9*b**5 + 0*b**3 + 0*b**2 + 0*b = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.11398159 + 3.1146. Round b to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 13748?\nAnswer: -13760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 31. Let r be a(0). Let m = r - -57. Calculate the remainder when m is divided by (-6)\/(-1) + (-14 - -17).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 5:27 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 - (111 + 7 + -237).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11176127 at least as big as -11176133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 + 14117537*c**4 + 327357304*c**2.\nAnswer: 60*c**2 + 338820888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38313 = -61*g + 94*g. What are the prime factors of g?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3357 + -3355. Let s(x) = -x - 11. Suppose -h = -2*f + 13, -5*f + 13 + 9 = -h. Let w be s(h). Which is the closest to 0.1? (a) w (b) k (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*s + 26 + 30, -2*q = -2*s - 46. What is the first derivative of -234*k - 28 + 125*k + 112*k + q*k**3 wrt k?\nAnswer: 75*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 345, 346, 347, 348, 349?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*v + 3 - 1, -5*q = -2*v - 19. Calculate the remainder when 27 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1582\/5 or -317?\nAnswer: -1582\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75121 + -1?\nAnswer: -75122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 12, -3\/7, 9, -6\/47?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**3 - 4*w**3 + 2*w**4)*(3*w - 4*w + 2*w) - 23*w**5 - 38*w**3 + 38*w**3 + 2 - 2 + 2*w**5 - 2*w**5 + 3*w**4 - 3*w**4.\nAnswer: -21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 318 - 157 + 2*r - 141.\nAnswer: r + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:16 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x)**(-6)*x**0\/(x**(2\/7)\/x))\/(((x*x**(-9))\/(x*x**(-1\/2)*x))\/(x\/(x\/(x*x**(-1)\/x)))**16) assuming x is positive.\nAnswer: x**(-109\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 53*z**2 + 9*z - 14. Let s be q(2). Calculate the greatest common factor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2675.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20889 is divided by 176?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 44 = 2*k, 14 = -3*m + 3*k - 8*k. Let l = 12 + m. Suppose 0 = -y + l*c + 15, y - 2*c = c + 12. Solve -a + 5*x - 15 = 0, -y = -a - 2*x + x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 79*n + 1463. Calculate k(-52).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/7 (b) -142 (c) -6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y - 468 = 0. Suppose 5*r = -2*c + 11, 5*c + 7*r = 2*r + 50. What is the highest common divisor of c and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130109980 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101011 + -11000?\nAnswer: -10000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 13, m: 6}. Give prob of picking 3 e and 1 m.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(-3*sqrt(320) - (sqrt(180) + 1*sqrt(180)))\/(sqrt(100)\/(sqrt(10)*-1)*4))**2.\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**6 + 1242*q**3 - 2*q**2 - 3*q + 621.\nAnswer: 120*q**3 + 7452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*q - c - 18, 0 = -4*q - 2*c + 14. Suppose q*u + 59 = 375. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -475138 or -475132?\nAnswer: -475138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158 + 160. Suppose -h*s - 2*w + 398 = -6*w, 3*s - 557 = -4*w. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 5*o**2 + 24*o + 3. Let r be q(-8). Solve r = 3*f - 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1149, 1202, 1341, 1608, 2045, 2694, 3597, 4796?\nAnswer: 6333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**2 - 13*g - 28. Let o(w) = 4*w**2 - 6*w - 13. Let a(h) = -13*o(h) + 6*v(h). What is a(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 6:14 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 + 7 = 0. Suppose -3623 = 4*a + n*f, 2*a + 0*a + 5*f + 1801 = 0. Let v = a - -1539. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 10*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1\/3))**37*q**(-1\/6)*(q\/(q\/q**(-2)))\/q assuming q is positive.\nAnswer: q**(499\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*a = 5*a - 2505 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23563\/5 - 100047\/20. Let y = -293 - a. Which is greater: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/120 + s**4\/12 + s**3 + s. Let k(v) be the second derivative of l(v). Find the first derivative of k(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or -4?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*o + 4*b - 560*h*o**2 + 1000*h*o + 22383*h wrt o.\nAnswer: -b - 1120*h*o + 1000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 240 + -238. Let p = 475 + -3317\/7. Factor 2*q**o + 24\/7*q - p.\nAnswer: 2*(q + 2)*(7*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 6*k**2 - 14*k - 16. What is s(-8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -1 + c**2 + c + 0*c + 0. Let y be -10 + (10 - 0 - -3). Calculate q(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geeeixg. Give prob of sequence ig.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 533 = -3*l, 10*l - 525 = 5*n + 15*l. Let c = 124 + n. Let z = -45 + 63. Is z greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 961422 and 7.\nAnswer: 961429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 276 - 303 + q**2 - 10*q - 4*q. Let k be h(18). Suppose -7*w = -816 - k. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 3. What is the second biggest value in 0.5, l, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152*-0.53496\nAnswer: 81.31392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227017?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - y - 1. Let d(x) = 4 + 6*x + 7*x**3 - 3 + 3. Calculate -d(p) - 6*v(p).\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 54 (base 7) to base 3\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3 - 156*i*z**2 + 5*i + 5676*z**2 - 5 wrt i.\nAnswer: 3*i**2 - 156*z**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - f + 22. Let y = -2 + 2. Calculate the remainder when 42 is divided by t(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -93, 58, 419, 1080, 2131, 3662?\n\"Answer: 15*m**3 + 15*m**2 + m - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**3*k + 794*a*k + 2*a + 138*k + 3 wrt a?\nAnswer: -9*a**2*k + 794*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 b, and 1 a when four letters picked without replacement from {a: 2, b: 1, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 1\/6 (c) -74308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/5*d**4 - 9\/5*d**3 + d**2 - 1\/5*d - 2\/5*d**5 + 0.\nAnswer: -d*(d - 1)**3*(2*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -347?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3659 = 1055. What are the prime factors of g?\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31538895 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Let z = -11 - -10. What is the nearest to z in -0.3, y, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6151 - 6147. Solve -2*s = n, -2*j = -11*s + 8*s - 16 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 - 1 = 0. Let f(b) = 7*b**2 - 2*b**3 - 5*b + 7 + d*b**3 + 13*b. Suppose 4*h + 2*h + 36 = 0. Give f(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69369647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*t + 31251*i**2*t**2 - 11498*i*t + 3*i - 2*t**2 wrt i?\nAnswer: -18*i*t + 62502*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123163581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408 + 1123. Let j = z - 452. List the prime factors of j.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 31. Let w(x) = -18*x + 8. What is the remainder when w(l) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e8c1 - 1?\nAnswer: 3e8c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 202183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 4:34 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 2. Let h be o(-3). Suppose -h*w = -4, -5*f = 4*w - 8*w - 111. Calculate the greatest common factor of 115 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 12*f - 9. Let k be ((-34)\/(-3))\/((-8)\/(-12)). What is the tens digit of s(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1223.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-80)\/140)\/(-2)*((-56)\/(-2))\/4. Solve 2 = 2*f - i*o, 56*o - 5 = -2*f + 57*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3891*b**5*z**2 - 2*b**5*z + 104628*b*z**2 wrt b?\nAnswer: 77820*b**3*z**2 - 40*b**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 1272*v + 7623. Give h(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(7)*-1 - sqrt(7))**2 + (sqrt(112) - (sqrt(112) - sqrt(112)*1))**2 - -3*sqrt(14)\/sqrt(32) - ((0 + sqrt(700) - sqrt(700)) + 5)**2*3*-5.\nAnswer: 3*sqrt(7)\/4 + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*i - 3 + 15 = 0, -i = -5*h + 6. Let o(m) = -31*m + 2 + 32*m + h. Let b = 8 + -13. Give o(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 8. Let v = q + -1. What is the remainder when v is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0 + (-317013)\/60). Let h = -5287 + r. Find the common denominator of 4\/(64\/(-174)) - -2 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**3 - u**2 - 557*u - 270. Give p(-16).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-120 - 140 - 1306)*(-i - 3 + 3) + i - 2*i - i to g*i + d and give g.\nAnswer: 1564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 8 = -2*w. Suppose 8*y + 3 = w*y. Suppose -t = 4*a - 47, a - y*a + 21 = t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/136350 and -97\/49086.\nAnswer: 1227150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(-2*i + 2*i - 2*i)*(-2 + 2 - 2*i**4 + (-2*i**2 - 2*i + 2*i)*(0*i**2 + 0*i**2 + i**2) - 3*i**3 + 3*i**3 - i**4 - 22*i**4 - 54 + 54).\nAnswer: -54*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1023)\/(-55) + (-2)\/(-5). Calculate the highest common factor of 152 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 113 (b) -5 (c) -2 (d) -6.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 20185 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 377286 - 188395. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 2.3293.\nAnswer: 6.3293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -68683 take away 167.577748?\nAnswer: -68850.577748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.47 - -40.47. Let k = x + -59. Let s = -19 - k. Which is the second smallest value? (a) s (b) 0.07 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 4. Suppose -5*q + 4 = -a. Suppose q*t - 348 = -t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-16)*(-32)\/(-10). Suppose -8*v + 16 = -y. Suppose 0 = -4*g + 2*r - 7*r + 8597, v*g = 3*r + 6468. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 178885916 and 3212.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1307883527 and 911?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6939 - 6823 - (53 + 1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.7743ug in kilograms?\nAnswer: 0.0000008287743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 730.\nAnswer: 1\/730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -181. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 4*d + 4*d)*(-2*d**3 - 3*d**3 + 13*d**3) + 78*d**5 + 4457*d - 4457*d.\nAnswer: 94*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 974*u**3 + 2*u**4 - 653*u**3 + 477*u**3 + (-2*u + u + 3*u)*(2*u**3 + 3*u**2 - 3*u**2) in the form y*u**2 + w + k*u**3 + l*u**4 + m*u and give k.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 164718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - (1 + sqrt(76) + sqrt(76))*1) - (sqrt(76) - (sqrt(76) + -1*sqrt(76) + 4))) + -3*4*(0 + sqrt(76) + sqrt(76))*-1)**2*-5.\nAnswer: -237625 - 2500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 39.31 (b) 5 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20196 and 1377?\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 8. Let m be u(-6). Suppose 6*b = -10*b + 16. What is the nearest to m in 2\/5, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99552 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4332*h**3*i**3 + 6*h**3*i**2 + 3*h**2*i**3 + 3*h*i**3 + 550*i wrt i.\nAnswer: 25992*h**3 + 18*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 436 - 435.67. Let i = 5328.39830147 - 5328.0683. Let m = i - a. What is m rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 911\/11 + 8\/44. Let r = f - 28. Differentiate -55*i**2 + 5 + r*i**2 + 12*i**3 wrt i.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -13.5. What is d rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16469023 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)\/z**4)**(-3\/11)\/(z**(1\/3)\/z*z**7)**(-3\/8) assuming z is positive.\nAnswer: z**(2231\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37185 is divided by 3715?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*((sqrt(2000) + 2 + 4 + 3*(sqrt(2000)*-1 - sqrt(2000)))**2 + 3).\nAnswer: -4800*sqrt(5) + 200157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 952050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1030\/19 or -54?\nAnswer: -1030\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/((-250)\/15) - 1. Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66813 divided by -1097\nAnswer: -66813\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**4\/42 - 324*j**3\/7 + 139*j**2 + 2*j + 1009. Solve s(k) = 0.\nAnswer: -973, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -d - 40*b, -3*b - 2*b - 13 = -5*d - 9*b + 28 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16292 and 2.316.\nAnswer: 37732.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*4264\nAnswer: 9807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 13 - 13)*((3*p - 4*p + 3*p)*(-3*p**2 + 0*p**2 + p**2) - p + 2*p**3 + p) + 10*p**4 - 29*p + 29*p.\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.2, 3, 3\/5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*a**3 + 0*a**2 + 2*a**2 + 27*a**3 as x*a**3 + h*a**2 + o*a + g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2285 + 25965. Is 64 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.28 (b) 3\/4 (c) -2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2 + 5*x - 9*x)*(118 - 118 - 36*x).\nAnswer: 216*x**2 - 72*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -16*n + 0*n**2 - 20\/3*n**4 + 0 + 14\/5*n**5 + 16\/3*n**3 - 2\/5*n**6. Factor f(w).\nAnswer: -4*w*(w - 2)**2*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -24*a - 135. Let n be (a\/(-45) - 24\/180)\/(-2). Solve -4*z + 2 - 2 = n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*j + 644 + 56*j - 197 + 252.\nAnswer: -2*j + 699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 + 6*t**2 + 4*t - 6. Let v(a) = a**3 - a**2 - a + 1. Give 6*v(j) + y(j).\nAnswer: j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -5*k - 2. Suppose -2*z - 4*d = -64, 108 = z + 3*z - k*d. Find the second derivative of -5*q - 5*q + 9*q**2 - z*q**2 wrt q.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 + -4 + 18 + -22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 + 151.00054. Round h to five dps.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 179134 or 14688891\/82?\nAnswer: 14688891\/82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 29*s**2 - 2*s + 55*s**2 - 27*s**2 in the form c*s**2 + j*s + t and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 647 + -661.6. Let p = w - -45.6. Is -0.1 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 6*u - 3. Let f be b(5). Suppose h + f = -14. Is (-196)\/h - 2\/8 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -i - 2*w, -2*i + 11 = -w - 59. Let q = i - 17. Suppose 0 = -2*d + d + q. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + -46. Suppose -2*p - 5*a = -23, 3*p + 16 = -a + z. Let c(t) = 7*t**2 - 4*t**2 - p*t**2. Let h(u) = 4*u. Calculate c(h(d)).\nAnswer: -96*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98427739 is divided by 364.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-4) + 45\/(-85). Suppose -3*u + c - 5*c + 9 = 0, -u + 5*c = 16. Which is bigger: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:38 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 2465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 60498.\nAnswer: 120996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1573) + -1)*-6)*-3.\nAnswer: -18 + 198*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 5. Let i be w(-3). Let l be i\/(-2) - 4\/2. Is -1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 50*j - 76. Calculate u(8).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1569, -1447, -1325, -1203, -1081, -959?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 945*y - 10. Let t(b) = -31*b - 1. What is 18*t(d) - 2*z(d)?\nAnswer: -2448*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2246 + 5652. Suppose -8*a = 358 - s. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 53807*r + 53708*r - 3.\nAnswer: -99*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21686?\nAnswer: 2, 7, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(68)*1)\/(sqrt(256) + 2*sqrt(256) - sqrt(256)) + 4.\nAnswer: -3*sqrt(17)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4240.195 days in hours?\nAnswer: 101764.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o. Let x be h(-10). Let t(b) be the third derivative of b**5\/60 - 3*b**4\/8 - 5*b**3\/3 - b**2. Let s be t(x). Is s > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 2:42 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -1721921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**3\/3 - 2*b**2 - 2*b - 759. Let f be (15 - 0) + (3 - 3). Suppose -u = -6*u - f. What is j(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -13, -294.9, 5, 0.5.\nAnswer: -294.9, -13, -0.2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -46. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + 1 - 10) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 6.94589, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180 + 180 + 7*i)*(-5*i + i + 3*i).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pzi when three letters picked without replacement from ixiizzizpx.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - -121. Find the second derivative of -23*x + 1 + 0 + 0*x**3 + 6*x**3 + 7*x**3 - 11*x**2 + v wrt x.\nAnswer: 78*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -5) + (-2 - -1). Let c be (-21 - -19)\/((-1)\/2). Solve q*t - 3*d + 18 = 0, 21 = -5*t - c*d - 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 87\/(-2)*-3*(-38)\/(-9). Let v = i + -548. What is the highest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(160) - -2*sqrt(160)*2)\/sqrt(8))**2.\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 145 = 5*d. Do -27 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**7\/6 - 5*t**4\/6 + 2*t**3\/3 - 5*t**2\/2 + 149*t. Find the second derivative of v(r) wrt r.\nAnswer: -140*r**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1113848 and -17\/2556.\nAnswer: 10024632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) + (-16)\/2574 - 75\/((-12150)\/18)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 115 - 4*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5 + 46896*p**4 - 361136926*p**3 + 869904001840*p**2 + 334731293829504*p + 333861028643840 = 0 for p.\nAnswer: -335, -1, 7928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l - 212. Calculate p(36).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -7*t**4\/12 + 2*t**3\/3 + 4*t. Find the second derivative of p(r) wrt r.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/43, -0.164, -0.4, -3\/4, -2, -0.7, -1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176699271 to the power of 1\/3, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 19203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 4*d, 3*d + 0*d - 2*q - 13 = 0. Suppose 0 + 12 = 3*m. Suppose -m = 3*h - 19. Calculate the remainder when h is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13031 - 33102332?\nAnswer: -33023301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 25*y**2 + 211*y - 8273. What are the prime factors of j(44)?\nAnswer: 49411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.9*16.\nAnswer: -302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) 0.05 (c) 0.2 (d) 0.46 (e) 1310\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87*t**2 + 87*t**2 - 5*t**3)*(2*t - 5*t - 7*t)*(-6 + 3 + 1) in the form n*t**3 + j*t + o*t**2 + c*t**4 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (16 + -8)) + -20 + (-94144)\/(-3488).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.77542 rounded to three decimal places?\nAnswer: -1.775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -5, -1.87?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190494 and 4456?\nAnswer: 761976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-16) + (-10)\/(-4). Let y be 0\/(-7)*(-2 - 3\/(-2)). Solve y = -3*k + 5 - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3670346.\nAnswer: 2, 157, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1088436 and 816327.\nAnswer: 3265308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -67668790 to the nearest one hundred thousand.\nAnswer: -67700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3 + 2 - 4 - 495*v + 487*v. Let f(m) = 7*m - 1. Let y be 3\/(-2) + 375\/50. Let x(s) = y*f(s) + 5*p(s). What is x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by -5*6*(-4)\/40.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 6 = 6*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/16 - 45*v**3\/2 + 543*v**2\/8 - 101*v + 4. Find l such that t(l) = 0.\nAnswer: -181, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 4)*(-21 + 37 + 40)*(4*l + 2 - 4 - 1).\nAnswer: 1344*l - 1008","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 16*q + 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291012*j**3 - 582075*j**3 + 291084*j**3.\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 k when three letters picked without replacement from {k: 5, h: 6, p: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -242 + 246. Solve -2*r - 12 = m - 6*r, -4*m + 32 = y*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67302 + -505737. Let z = 353039 + o. Round z to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 25163?\nAnswer: -25170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9321674 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2803497603 - -0.2?\nAnswer: -2803497602.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/(-14))\/((-1)\/2). Suppose -2*x = 12 - 2, 5 = 5*m + d*x. What is the third derivative of 16*c**3 + 4*c - 15*c**3 - m*c + 5*c**2 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-21)*91\/(-312)*-3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 9 - 2)\/3. Let y = d + 32. Let x = 28 - y. Let c(k) = k + 8. Calculate c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1612940 and 7868.\nAnswer: 1612940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16 - -6)*4\/(-5). Suppose u = 4*r - 0. Suppose 25 = -5*o, -3*m + r*o + 29 = -23. What is the greatest common factor of m and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28045+162354622\nAnswer: 162382667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161778227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 9:43 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.9 + 18. Suppose 0 = 4*t + u - 16, 0*u + 3*u - 12 = 0. Let b = 2 + -7. What is the nearest to g in 0.3, t, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 4*a - 8*a - 2*a in the form f*a**3 + q + s*a + z*a**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + y)*(1002*y**2 + 1133 - 2263 + 1130).\nAnswer: 2004*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15968914 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -41, 3, 1 in decreasing order.\nAnswer: 10, 3, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 86. Which is smaller: p or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**4\/12 + s**3\/6 - 18*s**2. Let n(w) = -2 + 1 + 0. Give -b(u) - 2*n(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -244 - -246. Suppose 0 = 2*j - x - 3, 3 = j - 3*x + 9. Suppose 10 = -w*h, -j*h = 5*p - h - 40. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*f + 65*f - 14*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)\/(m*m**(-6\/11)))\/(m**(-3\/7)\/((m**(-3\/4)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(-3011\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 - 15*z**2 - 31*z + 21. Let k(p) = -5*p**3 - 14*p**2 - 32*p + 21. Let a(o) = -4*f(o) + 3*k(o). List the prime factors of a(-15).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4 - 16. Let n = -15 + 34. Suppose -n = 5*q - 59. Solve q = -w*i + 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3147*x + 124 + 13648*x - 124.\nAnswer: 10501*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 3)*(0*f + 0*f + f) + 4*f - 3*f + 0*f + 3*f - 2*f - 2*f to l*f + m and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1139 and 580222546.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/240 - v**4\/32 + v**3\/12 - v**2\/2 + v. Let u(p) be the first derivative of q(p). Determine w so that u(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101 (base 2) in base 8?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9) + 23\/3. Suppose c = -4*x + 5*a, -3*a = -0*a - 9. Find the first derivative of 4*s**2 + 6*s**2 + 7 - 7*s**x + 7*s**2 wrt s.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/9 (b) 3 (c) 6 (d) 0.53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(6\/(-3)) - (-23 - -19). Suppose -13*y + 304 = -11*y - 3*m, 430 = x*y + 2*m. Does 73 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/29 or -96\/23?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 658, 1875, 3664, 6025, 8958, 12463?\n\"Answer: 286*v**2 + 359*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = p - 3*b - 2*b, -2*p + 3*b = 8. What is the lowest common multiple of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Let y be 2\/3 + (-143)\/w. Let o = 69 + y. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 2*n - 175. Let d = n + 36. Suppose -3*i = -7*i - 12. Put d, i, -4 in increasing order.\nAnswer: -4, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(66\/4) + 0. Let k = -0.21 - -0.05. Let o = k - 0.04. What is the third biggest value in u, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 249403\nAnswer: 997612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - 1 - (-10 - -3). Solve c = r*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 77556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nccnii. What is prob of picking 1 c, 1 n, and 2 i?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 152\nAnswer: -47\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7219\/24 + 1183\/4. Calculate the common denominator of t and 5\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/472, -0.1, -2.1?\nAnswer: -1\/472","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3444 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 4 + 4)*(-1 + 1676*l - 72*l + 1).\nAnswer: 9624*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.9 - -13.5. What is the third biggest value in 5, d, -1\/2, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/120 - j**5\/15 - 3*j**4\/8 - j**3\/3 - 2005*j**2 + 2. What is v(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*785.\nAnswer: -3.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 133 + 39 = 0. Let h = -52 - j. Let n = h - -24. Sort 3, n, -4 in ascending order.\nAnswer: -4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 4*j**2 - 3*j + 2. Let p be i(-3). Let z(r) = 26*r**3 + 4*r - 3. Is z(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*z**3 - 8*z**2 + 73\/5*z + 114\/5.\nAnswer: (z - 38)*(z - 3)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v - 3. Let z = 56 - 42. Calculate the remainder when p(4) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*g - 7*g. Calculate the remainder when 145 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 46. Suppose -9*z + 136 + 647 = b. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31344 and 43098?\nAnswer: 344784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -155. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 20209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 11) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o + 5*o + o**3)*(0 + 1 + 0)*(6 + 11 - 1) + 11*o**3 - 6 + 4*o**3 - 6*o**3 as t*o**3 + y*o + s + n*o**2 and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100000100 + 10011011?\nAnswer: -1001001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*c**3 + 0*c**2 + 0 + 1\/6*c.\nAnswer: -c*(c - 1)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 47*w + 4. Is t(2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -j + 3, 5*j - w = -13 + 60. Let a(x) = x - 8. Let r be a(11). What is the third derivative of -j*v**3 + r*v**2 + 5*v**3 - 6*v**2 - 6*v**3 wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - k - 17511 = 0. Is (-5 - -1)*(k\/4 - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(847)) + 5 - (2 + 2*(sqrt(7) + sqrt(252) + 1))**2.\nAnswer: -1387 - 156*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5324)*3)\/sqrt(4))**2.\nAnswer: 11979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 472 - i - 2*i**2 - 3*i**2 - 454 + (0*i + 0*i - i)*(2*i - 6*i + 2*i) - 3*i + i**2 + 3*i.\nAnswer: -2*i**2 - i + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33862\/21 + 1612. Find the common denominator of h and -10\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 73 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -5*c - 44. Let i = c + -10. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -2*(-1)\/(-2). Suppose r*u - 2 = -0*u. Let w(p) = -p + 1. Let i(s) = 1. Calculate u*i(m) - w(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, c: 2, y: 2, m: 3, r: 4, z: 1}. What is prob of picking 2 c?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1658*v**5 + 1038*v - 224*v**2 - 2077*v + 617*v**2 + 1039*v wrt v.\nAnswer: -99480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35664*q - 71295*q + 35693*q + 8*q**3 - 9*q**3.\nAnswer: -q**3 + 62*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - f - 40 = -29 - 86, 0 = -4*f. Solve u*n + 15 = -r + 11*n, -4*r + 2*n = -12 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -9.2. Let n = 0.02 + -0.12. Let a = n + -0.9. Which is smaller: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010100100000010 (base 2) to base 13.\nAnswer: -3a6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let y(d) = -2*d - 3. Let x(j) = -3*s(j) + y(j). Let u(z) = -z**3 - 11*z**2 + 1. Let k be u(-11). Let l be k*2*10\/4. Calculate x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d + d - d)*(-25 - 26 + 45) + (-7 + 7 + 3*d + (0 + 0 + 1)*(-5*d + d + 2*d))*(0 + 1 + 2).\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/5 + 19546*n**2\/5 + 3909*n = 0. What is n?\nAnswer: -19545, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 30 - 17*y - 73 + 45 to j*y + x and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/66 and -79\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-2 - (2 + -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 2*i**2 + 3*i + 1. Let c be z(-3). Suppose c = -h + 26. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 266 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(220)*2*-2)\/((((1*sqrt(735) + sqrt(735) + sqrt(735) - sqrt(735)) + sqrt(735) - sqrt(735)) + sqrt(735))\/(sqrt(27)*-2)).\nAnswer: -80*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k = -5, 5*j + 5*k - 700 = 0. What are the prime factors of j?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3526 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5 + sqrt(99)*2)**2 - (((sqrt(176) + -1 + 1 - sqrt(176))**2 - sqrt(176)) + sqrt(176) + -1 + 1).\nAnswer: -108*sqrt(11) + 477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 34*k - 270. Let d be v(8). Let g be d*-2 - (-3 + 0 - 1). Solve g = 8*h - 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = 10. Put 0, d, 3 in decreasing order.\nAnswer: 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 741 = g - 193. Let s be 2*g\/4*75. Suppose 2*v + 57283 + 82727 = 4*u, 0 = -u + 5*v + s. What is u rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*g**2*r**3 - 23*g**2 + 2*g*r**3 - r**3 - 53 wrt g?\nAnswer: -8*g*r**3 - 46*g + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q + q**2 - 7*q + 6*q - 3. Let n be a(-4). Suppose 0 = -2*m - 3*c - 4, -2*c + 7 = 5*m - n. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47041 is divided by 7840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 37. Let t be 1141\/21 - g\/(-3). Let l = 59 - t. Solve u = -3*q + l - 3, 2 = -2*u - 3*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2ccc7?\nAnswer: 2ccc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100130101 (base 4) in base 3?\nAnswer: -10102101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y**2 - 3*y - 2. Let h be o(4). What is the common denominator of -109\/22 and (-3 - 363\/(-120))*h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004725887536 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1398 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850406374 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -6. Let q = -87 - -126. Let o = q + -32. Solve -j*p - 29 = -o*x + 2*x, -p + 9 = 3*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*t - 5, 3*z + 4*t - t + 21 = 0. What is the tens digit of 1\/(z\/(-640)*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*h**2 + 5*h**3 + 13*h**2)*(3*h - 2*h + 0*h)*(-2 + 1 - 2) as o + l*h + m*h**2 + n*h**4 + c*h**3 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55\/42 - 4\/21. Let z = 19.5 + -24.5. Sort 0.3, s, 0.2, z in increasing order.\nAnswer: z, s, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 7*w**2 + 10*w - 1. What is the units digit of c(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 299624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 - 96\/(-105). Let j = -155583 - -155587. Which is the fourth smallest value? (a) -0.4 (b) j (c) -1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*f = 69*f - 229*f + 5038 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3\/3 - 820*l**2\/3.\nAnswer: -4*l**2*(l + 205)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:41 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22154 and 1.78.\nAnswer: -39434.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1576*y**2 + 18607 - 18607 to the form f*y + x + j*y**2 and give j.\nAnswer: -1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 5*y + 4*y)*(-80*y + 24*y**4 + 80*y).\nAnswer: 48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 10:12 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose -5*x = -c - 18 - 6, -5*x = -z*c - 32. Put -2, x, -3, 2 in increasing order.\nAnswer: -3, -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70566851 a multiple of 2244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/9 (b) 12 (c) -2\/5 (d) -16 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -481790?\nAnswer: 3\/481790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 51*z - 261. What is the remainder when 1309 is divided by n(-5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*x**2 + 20*x - 368.\nAnswer: -30*x + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j + 6*j - 7*j - 2*j**3 as r*j**3 + c + w*j + o*j**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223.4 + 244. Round x to zero decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - z - 144 = -45, 0 = -3*z - 12. Suppose 9*o - 8*o - d = 0. Solve 0 = -2*g - 3*u + 1, 2*g + 5*u - o = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1002865679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7024 + -3395. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2080\/(-415) + 5). Suppose -3*h - 35 + l = 0. Calculate the highest common factor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**3 - 6*z**3 + 4*z**3 - 2*z**2 - 2*z)*(-4 + 4 + z) to the form q*z**4 + m*z**2 + g*z + t*z**3 + o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1104*u - 1113*u + 2232*u - 121 + 403. What is g(-19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16296 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5\/38 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n - 5*n**2 - 4 + n**3 + 5*n + n + 4*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/34969836 and 31\/8888.\nAnswer: 69939672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 13*h + 5. Let z be c(-8). Let o = z + 8. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64279 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703727039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -123*r + 995. Let o be a(8). Solve 3*l + o - 22 = z, 23 = 5*l + 3*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.206 - -0.38. What is q rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268611?\nAnswer: 31, 73181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u - 7. Let a(g) = -5*g - 7. Let d(h) = -5*a(h) + 6*f(h). Let q(i) = -4*i + 20. Let p(j) = 11*d(j) + 4*q(j). List the prime factors of p(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2, -4*w - 11 = -3*v - 0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 13*p - 15*p. Do p and 17 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*((-2 + sqrt(192) + sqrt(192))*-1 + -1*(sqrt(192) + -1)))**2 + 5.\nAnswer: -20736*sqrt(3) + 250133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 + 4\/5*b - 2\/5*b**2.\nAnswer: -2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-14))\/(1\/7). Let n = z - 18. Let w be -124500*(n\/(-9))\/1. Round w to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 97*k**3 + 3*k**2 + 2*k - 1. Let q be l(-3). Let r = q - -36329\/14. What is the common denominator of r and 101\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12285*l**5 + 21763*l wrt l.\nAnswer: -245700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38792483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/9)*y**(-4)*y)\/(y**5\/y*y\/((y**(-2\/9)*y*y)\/y))*(y**(1\/8)\/y)\/y**(2\/11)*y\/y**(3\/7)*y*(y*(y**(-7)*y)\/y)\/y assuming y is positive.\nAnswer: y**(-75379\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n - 30. Let f be 130\/3 + 1\/(-3). Let x = f + -22. Calculate the remainder when k(7) is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + 0. Let s = 0.69976 - u. What is s rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/11134009 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133643 is divided by 4176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 - 4839 = -12*m. Let s = m - -93. What are the prime factors of s?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(4\/7))*c*c*(c\/(c**(-2\/5)*c))\/c assuming c is positive.\nAnswer: c**(29\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(15) + sqrt(165)\/(sqrt(66)\/sqrt(6)))\/sqrt(3))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.329872 rounded to 3 decimal places?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38808, 77567, 116326?\nAnswer: 155085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 9:23 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**5 + 115*g**4\/4 - 715*g**3\/3 + 605*g**2\/2 + 216. Find h such that k(h) = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22*(-5)\/30*-3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1117)\/(-1967) - (-4)\/(-7). Are r and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15\/8)*h**(-4\/19))**(-42\/11) assuming h is positive.\nAnswer: h**(6657\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**8*b**(4\/9))**14)**(2\/23) assuming b is positive.\nAnswer: b**(2632\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3\/2 + 19623*x**2\/2 + 274281*x\/2 + 959469\/2 = 0 for x.\nAnswer: -6527, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 14200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(7\/4)*a)\/(a**10*a)*(a*a*a**(5\/4))\/(a\/((a*a*a**6)\/a)) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-10))\/j**(2\/3) assuming j is positive.\nAnswer: j**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 8\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12067822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 8*q**2 - 6*q + 3. Suppose 20 = -t - 4*t. Let b(l) = l**2 + 2*l - 1. Let g be b(t). What is the units digit of r(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/3)*z**(-7)*z*(z*z**1)**30 assuming z is positive.\nAnswer: z**(169\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37688\/8 + 3 + 2. Is 3 + p\/(-12)*(0 + -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/3291673 and -25\/1196972.\nAnswer: 13166692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43659 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2 - 2. Let q(k) = k**2. Let a(f) = -f**2 - 4*f + 1. Let h be a(-4). Let l(r) = h*j(r) + 4*q(r). Find the first derivative of l(i) wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 33 - (272 + -301)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 298.113793?\nAnswer: 119.2455172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243 - -242.7. Let s = -14.95 - -15. Which is the biggest value? (a) z (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*z = 54, -5*a + z = -630 + 681. Let k = 2 - 2.7. Is k <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 3*s - 5. Let j be i(2). Let y be ((-22)\/2 - 1) + -1. Let p = 17 + y. Solve 6 = -j*r - p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2357349 or 0?\nAnswer: 1\/2357349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36a (base 11) to base 14.\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12170, 48675, 109520, 194693, 304182, 437975?\nAnswer: 596060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/15155 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021972*g**2 + 228454*g**2 - 1060482*g**2 + 10810*g**2.\nAnswer: -1843190*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -5 + 0*p**3 - 1\/4*p**4 + 3\/2*p**2 - p. Is 17 a factor of l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 18 = -o. Is 36 - ((-3 - o) + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3*m + 3*m**5 + 3*m**5 - 2*m**5 + 3*m**5 + (-3*m**4 + 2*m**4 + 0*m**4)*(4*m - 3*m - 2*m) - 3*m**5 + 39*m**3 - 39*m**3 - 9*m**5 - 9 + 9.\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/431 (b) 0.8 (c) -0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3008 - -3002. Let a(o) = o**3 + 7*o**2 + 8*o + 10. Determine a(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*z + 15*z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -20, -5*l + 230 - 81 = -g. Let m = 194 + g. Solve -m = 2*k - 6*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and (8\/(-28))\/((-21)\/441)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965.9254 litres in millilitres?\nAnswer: 965925.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -457 + 456. Suppose 0 = -2*k - d - d, 3*d = 4*k - 14. Put 1, n, k, -5 in ascending order.\nAnswer: -5, n, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0)**(-1\/35))**(16\/11) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:54 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 30 = -5*l. Suppose 11 = l*m + 16. Is (-85)\/(-2) + m\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1081 - -1079. Which is the nearest to 1? (a) 0 (b) t (c) 4\/3 (d) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 388.\nAnswer: 18236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 5*d + 14, -3*d + 18 = 5*c + 12*c + c - 17*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 15) to base 2\nAnswer: 11110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -221252 - 131031?\nAnswer: -352323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 122 + (0\/1 - 2). Suppose 0 = -4*y + 2*f + h, 3*y - 2*f - 2*f - 80 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1846*z + 333696 = 1785*z - 501*z - 523*z for z.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/1*(2 - 3). Let c = 12 + 5. Solve m*b - c = -5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 + 85 + 70)*(-8 + 1 - 9)*(-3*t - 2*t + 7*t)*(-3 + 1 + 1).\nAnswer: 3648*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2 = -2*k, 0 = -4*k + 2*k + 5*z + 2. Suppose -2*x + 8 - 20 = 0. Let q be (x\/(-42))\/(2 + -1). Which is the nearest to -2? (a) 3 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -0.06, -2\/9 in increasing order.\nAnswer: -5, -2\/9, -0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*2\/(4*105\/(-14))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -10. Let a be (-4)\/(y\/(-6)) + 0. Let c = 4 - a. Solve 0*n = n - c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p - 1986 + 2084 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -16*x + 20. What is the tens digit of m(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2973690 and 370.\nAnswer: 2973690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19162 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 6*u**2 + 4*u + 2. Let h be o(-2). Let a = h - 18. Let j = -5 - a. Sort 4, 2, j in decreasing order.\nAnswer: 4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**2 + 4*u**2 - 2*u**3)*(1 - 2 + 4)*(2 + 0 - 1)*(1 + 2 + 1)*(1 - 5 + 5) in the form b*u + q*u**3 + c + k*u**2 and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -3\/5, 231095\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2\/1*-1. Suppose b*h - 3*j = 49, -3*h - j + 36 = -3*j. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55134553.59 rounded to the nearest 1000?\nAnswer: 55135000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 19*d - 18*d + p + 7, 2*d = 5*d - 25*p + 5 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 5*y**4\/24 + 68*y**3\/3 - 14171*y**2. Determine c(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 525 = -543. Let g(t) = 14 + 4 + 9 - 25 - t. Determine g(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 - 17 = 0. Solve 0 = -5*p + i*p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/3067881 and 53\/33.\nAnswer: 33746691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-17134.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -196, -301, -410?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -714 = -1167*b + 1269*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*u - 3*k, 77 = 2*u + 3*u - k. Let b(n) = -n**3 + 15*n**2 + 15*n + 20. Let g be b(u). Let c be 1*(g + (-20)\/2). Are -4 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - -3 - (0 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41*40\/(-88) - (-14 + -3).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 3, i: 1, w: 1, t: 1}. What is prob of picking 1 g and 2 z?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*q + 236*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l + 0*l)*((-2*l + l + 3*l)*(-3 - 1 + 6) - l - 2*l + 4*l).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 + 6661. Let u(m) = 21*m - 1. Calculate i(u(v)).\nAnswer: -441*v**2 + 42*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:04 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.9 take away -2035.1?\nAnswer: 1988.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 10*h**3\/3 - 373*h**2\/2 - h + 154. Calculate y(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q*q\/q**(2\/3))\/((q**(1\/9)\/q)\/q*q**(-5))*(q**(-2)*q\/q**(2\/19))**(-5\/14) assuming q is positive.\nAnswer: q**(553\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2024958978 to the nearest integer?\nAnswer: 45000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 20 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (112 - (-75 + 189)) + 15 + -1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -963, -1554, -2293, -3228, -4407, -5878, -7689?\nAnswer: -9888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -1\/4*f**2 + 0*f + 9 = 0.\nAnswer: -6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37.5 and 1.\nAnswer: 38.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-2)*(31\/((-1023)\/33))\/(33\/6)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 18206991 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -9. Suppose 2*v = 3*v - h. What is the remainder when 9 is divided by v + (-2)\/(4\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13307*s + 13186*s + 3674 = -77 for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 11*w + 26. Let d be x(3). Suppose 10 = 4*s - d*n + 6, -4*s + 3*n + 2 = 0. Factor 0 + 2\/9*i**s + 1\/9*i**3 + 1\/9*i.\nAnswer: i*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5356495 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.468926805 + -17.469. What is g rounded to six dps?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m**3 + 12*m**3 + 19*m**3 + 5*m**2 + 35*m**3 as x + f*m + q*m**3 + v*m**2 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 5*d**2 + 2*d**2 - 3*d**2. Let h(x) = 7*x - 21. Let i(q) = q - 2. Let u(w) = -2*h(w) + 21*i(w). Determine f(u(s)).\nAnswer: 147*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*o + 5, 4*o - 41 = 4*i - o. Let d(u) = 2*u + 1. Let c(s) = -s. Let p(w) = i*c(w) + d(w). Let x be p(-1). Sort -3, x, 1 in decreasing order.\nAnswer: 1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32074 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -x - 11, x = 8209*i - 8204*i + 19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - v - 3*v - 24 = 0, -20 = 4*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48, 146, 302, 510, 764?\n\"Answer: -r**3 + 35*r**2 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*u + 3)*(5 + 0 - 4) + (u + 1 - 1)*(3 + 5 - 5).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/167 or -1?\nAnswer: -12\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5*((sqrt(63)*4)\/sqrt(9) + sqrt(7) - sqrt(7)) + -2*(1 + sqrt(567)))*-4)**2 + 3.\nAnswer: 3648*sqrt(7) + 161875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5615768346 rounded to three decimal places?\nAnswer: 0.562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7668 + -7655. Solve 2*g = -5*h - 23, -j = 7*g - 6*g + 3*h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*h**2 - 14\/3*h + 2\/3*h**3 - 4 = 0. Calculate h.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**4 + 13*a**3 - 5*a**2 - a + 5. Let h(p) = 3*p**4 - 19*p**3 + 8*p**2 + p - 7. Let w(x) = -5*h(x) - 7*y(x). Determine j so that w(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m - 1. Let v be u(-8). Let j(k) = -k**2 + 34*k - 277. Let x be j(20). Calculate the highest common factor of x and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 235\/94 + 41 - 33.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21602 + -115?\nAnswer: -22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1156491, 2312977, 3469465, 4625955, 5782447?\n\"Answer: n**2 + 1156483*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2302, 1, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -6. Suppose -609 = 2*b - q*t, t = 4*b + 854 + 337. Let y = b + 430. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 50 + 41 - 78 + 42*c**2 - 2*c + 0*c - 14. Determine f(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 + 2 + 35*p**2 + 6*p**3 + 4*p - 40*p**2 - 5. Let v(i) = i**3 - i**2 + i - 1. What is h(b) - 4*v(b)?\nAnswer: -b**3 - b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35085751 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -80672537, -80672540, -80672545, -80672552, -80672561?\n\"Answer: -d**2 - 80672536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -24 - 1) + (33 - -5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 13*o - 20. Does 19 divide c(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/2 - 119*z**3 + 7452*z**2 - 181521*z + 3090231\/2.\nAnswer: (z - 157)*(z - 27)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 14996*z - 4540. Let h be c(60). Round h to the nearest 1000.\nAnswer: 895000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**4\/4 + 581741*q**3\/4 + 436308*q**2 + q - 581744 = 0 for q.\nAnswer: -2, 1, 581744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -9*h - 64. Let i(t) = -3*t - 22. What is 8*i(s) - 3*k(s)?\nAnswer: 3*s + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3694 - -0.2257. Let j = z - -0.137. Round j to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -4. Suppose -2*h + 10 = -4*h. Let q = h + 7. Are q and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13735 and 1139?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*t - 431 = 1023 + 2346 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 306\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -0*s + s + 2508 - 2505, -6 = -4*x - 3*s + s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 43*o**4\/4 - 23*o - 34. Find the first derivative of l(c) wrt c.\nAnswer: 129*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 15*z**2 - 4*z + 11. Suppose 2*j - 5*j = 2*i + 15, -5*i - j - 5 = 0. Let r = i + 6. Let u(c) = 7*c**2 - 2*c + 5. Calculate r*s(d) - 13*u(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/36)\/(1\/3). Let q(l) be the second derivative of v*l**4 + 0 + 0*l**3 - l**2 - 2*l. What is the first derivative of q(a) wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552322739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13016862 (base 10) to base 15\nAnswer: 1221cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.8 - -2.5. Put -3, w, -1\/3 in increasing order.\nAnswer: -3, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 336.01 + -10.01. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2542.03 meters?\nAnswer: 2542030000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckk when three letters picked without replacement from kkc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 - z + 4. Let j be h(-4). Suppose 0 = 5*t - 9*t + j. Suppose 12 + 6 = g. What is the lowest common multiple of g and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 2:50 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38.2 - 35. Let s = f - 3. Let y be (230 + -232)\/(-16*1)*12. Which is the closest to 1? (a) y (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 3. Let f be p(0). Solve 0 = -n - f*b - 2, 0 = -4*n - n + 4*b - 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 2. Let g be -23 + (0 - (-3 + 2)). Let y be 6\/33 + (-40)\/g. What is the lowest common multiple of i(y) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 5*o**2 + 776 - 776 + o**3. Determine d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - h + 20 = -5*h, 8 = x - h. Suppose -3*l - 4*g + 41 = 0, -x*l = 4*g - 6 - 42. Solve -l + 1 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45482862.\nAnswer: 2, 3, 659, 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrvvhrvrhrrvrrvrvr. Give prob of picking 1 v and 1 r.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/22 - 9\/(-2). Suppose -j = -m*u + 331, 2*u - 3*j + 169 = 4*u. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 662856 and 4?\nAnswer: 662856","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 1. Let a = 30 + o. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 12:31 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97 - -154. Let b = f - 227\/4. Which is smaller: b or 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(204) - sqrt(204))*2)\/sqrt(12).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 24201*k - 8072*k - 8069*k - 8066*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423.009 rounded to 1 dp?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**(-47)*o**2*o\/o**4 assuming o is positive.\nAnswer: o**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/16 - 7*(-6773)\/104. What is the highest common factor of i and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110.3 - 110. Which is the second smallest value? (a) 155 (b) -0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*f, -48*u + 5*f + 286 = -49*u. Let w = -2615\/9 - u. Put -4, w, 15\/7 in ascending order.\nAnswer: -4, w, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 54 - 21 - 18*j**2 + 5 + 57.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17317 is divided by 5149.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*l - 3*d + 9 + 3 = -55*l, -4*d = -16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 21*w + 1. Suppose 0 = -f - 2*f + r + 25, 0 = 2*f + 3*r - 2. Let t be (((-28)\/(-8))\/f*4)\/1. Calculate the remainder when x(t) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:11 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*o - 3. Suppose -p = o*p. Solve -h + 0*h - 4 = -f, 4*h + 4*f - 16 = p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*r + 19, 6*r - 18 = -3*k + 2*r. Solve -y + g + 2*g = -7, 4*g = -k*y - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 169396 = -82232. Let j = -389628 + q. Round j to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115464573 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: Suppose -8*g = 37 - 85. Let o(m) be the second derivative of 1\/6*m**4 + 0*m**3 + 0*m**2 + 0*m**5 + 0 - 1\/3*m**g - 6*m. Find the third derivative of o(l) wrt l.\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21685 + 111674. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 9*p. Let r(j) = -8*j - 2. Let l(w) = -81*w - 21. Let s(b) = 2*l(b) - 21*r(b). What is y(s(c))?\nAnswer: 54*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 6493731.\nAnswer: -1\/6493731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 242*u**2 - 4*u. Let k(w) = -4*w. Determine k(n(z)).\nAnswer: -968*z**2 + 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -14, -29, -60, -113, -194, -309?\n\"Answer: -t**3 + t**2 - t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2130\/(-450) + 2\/20*-6.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 r, and 1 i when four letters picked without replacement from {r: 1, i: 1, l: 4, v: 9}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -60. Calculate the remainder when 43 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 31*m**2 - 20*m - 52. Let z be d(-16). Solve 0 = -3*u - 0 - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 11*m + 13.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37578928*m**2*n**2 - 10396*m**2 - 707 with respect to n.\nAnswer: -75157856*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2370*k**2 - 4752*k**2 + 2376*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -8\/3, 0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 40 = -m. Suppose m*b - 20 = 3*a + 3*b, -5*b + 20 = 4*a. What is the derivative of 3 + 2*l + a*l - 2 wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-15))\/((-768)\/(-576)))\/(5\/(-175))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -601 and 35868 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -151395843*y**5 - 20604431*y - 1.\nAnswer: -3027916860*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -3, 13, 43, 93, 169?\n\"Answer: r**3 - 2*r**2 + 7*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 445*t - 442*t - 38506 = -3124. Is t a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwaaaawaawa. What is prob of sequence aa?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 199*j**7\/42 + 19*j**4\/4 - j - 6. What is the third derivative of c(u) wrt u?\nAnswer: 11940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 3:08 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -111 + 10?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28068277387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24999 and 32409.\nAnswer: 20774169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 1, g: 3, l: 1, u: 1, q: 8}. Give prob of picking 1 g and 2 r.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 68. Let k(t) = -3*t - 10. Let v be k(8). Let z = d + v. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*d**3 - 9 + 16 - 41*d - 5 - 5*d**3 to the form p*d + h*d**3 + q*d**2 + u and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 10*g - 3217. What are the prime factors of g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l = -2068 + 2268 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgegygywcgwyyecyg. Give prob of sequence ccc.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 451 divide 619268100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**4*h**2 - 431*c**4 - c**3 - 136*c*h + 2*h**2 wrt c.\nAnswer: 72*c**2*h**2 - 5172*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5041.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 - 131. Sort d, -5, -4.\nAnswer: -5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/3, -2\/45067397?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9*2\/4)*(-108)\/(-72)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/35 - 12\/(-5). Solve -6*z = -j*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -342, -555, -790, -1053, -1350?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5078907 greater than or equal to -5078909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*g*j**2*y**2 - g*j**2*y - 9*g*j**2 + 5*g*j*y**2 - 3*g*j*y + 2*y**2 wrt y?\nAnswer: -42*g*j**2 + 10*g*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (-15)\/(-3) - -34. Let k(a) = 0*a + 2*a - q + 36. Let g(z) = -47*z + 18. Let i(m) = -12*m + 4. Let r(d) = 2*g(d) - 9*i(d). Calculate k(r(p)).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64064 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p - 11. Let l(f) be the first derivative of 5*f**2\/2 + 6*f + 2430. What is 3*j(a) + 5*l(a)?\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 79*f**2 + 329*f - 99. Determine k(-30).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:52 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*s - 169*s - 21*s + 3130 = 0. Let l(b) be the first derivative of 1\/4*b**4 - 7\/3*b**3 - 38 + b**2 - s*b. Determine l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 62397?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -59\/2. Let q = 2\/90097 + 90071\/1171261. Which is the nearest to q? (a) -3\/5 (b) -5 (c) -0.2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v**2 - 2. Let h be z(2). Let p = 20 - h. Let y = p + 64. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 62409978?\nAnswer: 686509758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -3 in decreasing order.\nAnswer: 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -12*g - 300000. 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: Let j = -17 + 13. Let g be j\/(-14) - (-860)\/(-2765). Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 8) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/4 (b) 0 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/14 + 752994\/462. What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/45624 and -131\/18.\nAnswer: 136872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -304010 (base 5) in base 12?\nAnswer: -5874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430393.\nAnswer: 430393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/29969225?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - 21 - (3 - (-4 + 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*l**3*p**4 + 84*l**3*p**2 - 7*l**3*p + 152*p**5 wrt p?\nAnswer: -144*l**3*p + 9120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6056224l to millilitres.\nAnswer: 605.6224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/7 + 18\/35. Let i = 4.17 + -0.17. Let x = i - 3. Which is the third biggest value? (a) s (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 115 - 164 - 2*t.\nAnswer: -2*t - 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1063 - 1080) + 4 + -2 + 21 + 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 3 - (-401 - -414 - (2 + 8)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43500 is divided by 5436?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62681450 by 6605.\nAnswer: -9490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppp. Give prob of sequence py.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -202319\/22 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187366659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/13 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:20 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, w: 1, m: 3, c: 3}. What is prob of picking 2 m and 1 c?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, 1, 1.2, 0.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 6:25 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9411 - -9410.6. Which is the third smallest value? (a) -1 (b) 1\/5 (c) -407 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 74*g**2 + 408*g + 7. Let v be z(-6). Let o = -40 - -43. Solve -2*k = -3*a + 13, -v = -o*a + k + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2651162 - 1815892. What is f rounded to the nearest ten thousand?\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8942 and 442?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68\/13 - -327\/65. Let j = 8 + -12. Which is the nearest to -2? (a) j (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -92*w - 243*w - 623 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((h**2 + 3 - 3)*(-7 + 7 + 3*h) + 2*h**3 - 1 + 1)*(h + 3*h + 0*h) + (-2*h + h - h)*(3*h**3 + 4*h**3 - 6*h**3).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/809 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 5 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535 = -3*d + 4*q + 1641, -3*q - 1477 = -4*d. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkkknkkkkkkkkkkkknk?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + (sqrt(275) - sqrt(11))*-4 + (sqrt(33)\/sqrt(3) + -4 - sqrt(11))).\nAnswer: -60*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 37. Suppose 4*r + 1 = -s + 19, -4*s = 3*r - c. Suppose r*m = -2 + 26. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9497 (b) 0.0078 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/2 + -3)\/1. What is a in -2\/3*a**3 + y*a + 0 + 4\/3*a**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141958 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8316 and -4.\nAnswer: 8312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 + 43 = -3*d, 2*d = 6. Suppose -r = -a + 6. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**2 - 21*r**2 + 122*r**2 + 0*r**2 + 2*r**2 + 0*r**2 + (6*r - 3*r - r)*(-3*r + 3*r - 2*r).\nAnswer: 109*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 4*p + 5*p)*(1 - 1 + 2*p**3) + 197*p - 13*p**4 - 197*p + (-2 + 3 - 2)*(-269 - 7*p**4 + 269) - 5 - 2*p**4 + 5.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22767077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/207 and -105\/120382?\nAnswer: 1083438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -262\/212115 - 14\/895. What is the fourth biggest value in -2\/11, -0.1, u, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5831*j**2*u**2 + 34*u**2 + 3*u wrt j.\nAnswer: 11662*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10297, -10291, -10285, -10279, -10273?\n\"Answer: 6*n - 10303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13d37d (base 15) to base 9\nAnswer: 1716241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -7. Let d be (522\/u)\/(-9) + (-4)\/(-14). Let j(t) = t**3 + 8*t**2 - 3. Give j(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let k(c) = c**2 - c. Let q be k(2). Suppose -n + q - 8 = 0. Let f(w) = 4*w. Give n*f(s) - 13*b(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (288\/3 - 42)*(-3)\/(-9)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:04 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1349 = 7*n - 1395. Suppose -122 + n = 5*i. Suppose -2*x - i = -3*c, -2*c - 3*x + 6*x = -41. Solve -t = 3*t - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5*u - 11 = 0, 5*y - u - 4 - 3 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*n - 3*f, 4*f - 8*f = -12. Let u(w) = -2*w**2 - 8*w - 5. Determine u(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*w**2 + 2)*(2 - 1 + 1)*(13 + 83 - 23 - 2*w).\nAnswer: 12*w**3 - 438*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.4. Let d = 4 + -7\/2. Which is the closest to d? (a) -1\/3 (b) 3\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 1. Let i be y(-3). Suppose 0 = -i*q + 16*q. Solve q = 4*s + 2*n - 2, -17 = -4*s + 3*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -10, 1, 18, 41, 70, 105?\n\"Answer: 3*l**2 - 4*l - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -1\/2 in decreasing order.\nAnswer: 0, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8082 (b) 0.3 (c) -186 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -226*g - 29*g**2 - 2 + 220*g - 10*g**2 to l + r*g**2 + j*g and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:49 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.14 + -0.14. What is the biggest value in -0.1, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (5 + -2)) + 2 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 378.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.361601m to millimeters.\nAnswer: 6361.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 11*y**2. Let t(h) = 12*h**2 + 4*h - 8. Let l(d) = d**2 - d + 2. Let f(o) = -4*l(o) - t(o). Calculate f(j(k)).\nAnswer: -1936*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/(-399)*((-560)\/(-50))\/8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13796 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o**2 - 33. Let i(t) = -78*t**2 - 143. Let z(g) = 3*i(g) - 13*q(g). Let l(u) = 53*u. Determine l(z(b)).\nAnswer: 689*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 10575?\nAnswer: -10576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 88715 = k, -45*k - 3*s - 266157 = -48*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2801 + 2807. Which is the nearest to -2\/5? (a) 4\/3 (b) r (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (4 + -4 - 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18278636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 104, 241, 442, 713, 1060, 1489, 2006?\nAnswer: 2617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 1. Let c = 1 - 0. Let q(z) = 17*z**2 + 6. Suppose -406 - 62 = -986*k + 1064*k. What is c*q(d) + k*h(d)?\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5921 - 2746 = 2*o, -2*k + 3467 = -o. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/7 greater than 7700132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 + 4*h**3\/3 + 2*h**2 + 4*h + 17. What is b(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9)*(17 + -17 - -3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n - 10. Let f be p(2). Suppose -2*d + f = 2*d. Let a(j) = 2*j - 2. Let b be a(4). Calculate the greatest common divisor of d and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/7, 1\/10, -1845, 3\/2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310927287 to the power of 1\/3, to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*v**2 - 26368 + 13187 - 3*v + 13178 + 48*v**2.\nAnswer: -98*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*i**3*u**3 + 133*i**3*u + 23*i**2*u**3 - i**2*u + i**2 + 58*i*u + 192*u**3 - 4*u**2 wrt u?\nAnswer: 234*i**3 + 138*i**2 + 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/117 and -71\/81?\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i - 55 = -169 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -785*t + 192302. What is m(245)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 177 = -3*y, 3*t - 2*y = 110 + 168. Calculate the smallest common multiple of t and 3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 + 4970 + 9572 = -153*a. Sort 19, -0.5, a.\nAnswer: a, -0.5, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 5. Let b be t(0). Let g(f) = f**3 - 2*f**2 - 4*f + 5. Let o be g(b). Suppose 3 - o = -3*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x + 7 + 6 = -21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ekeeeeeekeek?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from euueuaueueuaeu. Give prob of picking 1 a and 2 u.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650363?\nAnswer: 41, 127, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17366 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11110010011?\nAnswer: -11110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25139493*r**3*w**2 - 6*r**3*w + 2*r**3 - 3*r**2*w - 7204831*w**2 wrt r.\nAnswer: -150836958*w**2 - 36*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 107971, 107790, 107609?\n\"Answer: -181*y + 108152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24580*q + 24577*q + 24577*q + 24578*q - 122885*q + 24576*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uemwi. Give prob of sequence wmme.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3593276ng to micrograms.\nAnswer: 0.0003593276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 + 4\/18*69. Suppose 8 = 3*p - 5*h, 1 - m = -2*p - h. Suppose -p*a + 8 = -2*a. Solve -2 = 4*y - r, 2*r = -y + r + a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2331\/11 - 18637\/88. Which is the nearest to 1\/2? (a) -0.17 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967543.\nAnswer: 1967543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-28)*2*((-336)\/105)\/(-8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 - 4*r - 5. Let f be p(-1). Suppose -4*m = 3*n - 32, -2*m + 24 = 3*n + f. Solve 0 = -0*c - c - 3*g + 10, 0 = -4*c - 3*g - m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 402 and 13045101.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 96250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 2, f: 4, u: 5, e: 2, i: 1}. What is prob of picking 2 c and 1 e?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 24644235?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 2:36 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 1190, -105\/8?\nAnswer: -105\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/168)\/((-6)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 1, t: 6, r: 8}. What is prob of sequence rtrm?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 608330704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, h: 2, u: 2, e: 1, f: 1, t: 1}. Give prob of picking 1 t and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.945 or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*w + 38 = 4*h, 32 = 2*h + 4*w. What is the smallest common multiple of h and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1873 and 2.33?\nAnswer: -4364.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103, 2, -2 in ascending order.\nAnswer: -2, 2, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 5*j - 2. Determine y(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i + 4*q, -3*i - 4*q - 14 = -2. Let k = -3 - i. Let u be 2 + 0\/(6\/k). Sort 3, u, -5 in increasing order.\nAnswer: -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-2067365\nAnswer: 2067365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l + 86 - 326 - 976 = 0. Calculate the remainder when 250 is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/21423?\nAnswer: -1\/21423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + q - 16. What is x(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8525 and 59467375?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.36 + 7. Let m = -0.06 - y. Let j = -0.3 + -0.7. Which is the nearest to j? (a) -1\/10 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)\/(s*s**(2\/9))*((s*s\/((s**(2\/9)*s)\/s)*s)\/s)\/(s\/(s**(-9)*s)) assuming s is positive.\nAnswer: s**(-157\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:42 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3957 + 3957.4. What is the fifth smallest value in 1\/5, z, 2, 0, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 550158 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-99)\/(-36))\/(-11))\/((-89)\/(-8))?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 16237.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + 12 - (-1 + -18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 - 1.3. Let u = -129 - -248. Let s = u + -119. Which is the nearest to s? (a) d (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 6, -4*s - 2425*o + 2429*o - 12 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a9d7 (base 14) in base 2?\nAnswer: 110110000100100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 945201 (base 12) in base 16?\nAnswer: 2392e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x - 4, f - 3*x = -12. Let u be (-20)\/(-3) - (-6)\/f. Let s(y) = u*y**2 - y**3 + 0 + 8 - 1. Calculate s(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 2*w**2 + 2*w + 5. Let c(q) = -q**2 + q - 1. Let j be -1*(-4)\/(4\/(-1)). Let b(h) = j*t(h) - 4*c(h). Calculate b(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/102 and -73\/159131028?\nAnswer: 2705227476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2059833, 2059834, 2059835, 2059836, 2059837, 2059838?\n\"Answer: v + 2059832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -38.1. Let u = 13 - z. Let r = u + -2.8. What is r rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q - q + (2 + 2 - 1)*(-21*q + 15*q + 8*q))*(0*q + q + 7*q).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 8\/5*o**4 - 4\/5*o**3 + 8\/5 - 16\/5*o**2 + 2\/5*o**5 + 2\/5*o = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -166936, 1\/5, -0.105?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 289995?\nAnswer: 2029965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0096738 rounded to 4 dps?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 0, -2, -16, 2, -71 in descending order.\nAnswer: 4, 2, 0, -2, -10, -16, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38\/31 + -4757\/62. Let n be (-2)\/((8\/250)\/((-24)\/(-20))). Is h equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*z + 45, 2 = -z - 3. Suppose -3*u + 563 - 198 = -c, 4*u + q*c = 508. Calculate the remainder when u is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 414, 678, 1058, 1560, 2190, 2954?\nAnswer: 3858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 328, 490, 648, 802?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = -1937*f + 17681 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -77, 0.4, 194, 4\/7 in increasing order.\nAnswer: -77, -3\/8, 0.4, 4\/7, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v - 1. Let l be k(1). Suppose 0 = -l*f - c + 1 - 0, -f - 5*c = 13. Suppose -2*x + 4 = 2*x. Is x <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 12*r**2 + 5*r + 13. Suppose -3*l + 5*l + 26 = 0. What is the hundreds digit of n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2 - 26083*n - 94467.\nAnswer: -2*n - 26083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 3*j**2 + 9*j**3 - 12*j**4 - 7*j**3 + 0*j**3 + 1 to u*j**3 + w + b*j + q*j**2 + c*j**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 27, -4, -3, -2.\nAnswer: -4, -3, -2, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 299 = -3*p, k + 3*p + 83 = p. Let n be -3*(k\/105 + 8\/20). Which is smaller: n or 15\/19?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226848197305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -20, -1, 167, 10 in increasing order.\nAnswer: -91, -20, -1, 10, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a - 7*a**2 + 1\/3*a**3 + 0 - 5\/24*a**4. Let p(s) = -6*s + 2. Calculate -3*p(f) + 4*r(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 2a6?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*z - 22 = 0, -100 = -0*o - 5*o - 4*z. Suppose 4*m - o - 12 = -4*v, -5*v + 2*m = 0. Solve v*k - 6*k + b + 4 = 0, 0 = -2*k + 3*b - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-5 - -3)) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473228 is divided by 9280.\nAnswer: 9228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -29310.\nAnswer: 32\/14655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g - 10*g - 27*g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1370 - -1341. Let f = 3 + -32. Is j <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -29646*c + 4. Let z(x) = 7411*x - 1. Calculate 2*g(p) + 9*z(p).\nAnswer: 7407*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 14*j**2 - 3 + 3 + 36*j**2 - 42*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - ((-6435)\/12 - (-33)\/(-44)). Suppose y*l - 76 = 540*l. Let s(g) = 31*g + 2. Let v be s(3). What is the highest common divisor of v and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/(-9))\/(3 - 1 - 4). Suppose -383 - 110 = -5*p + f, -i*f - 487 = -5*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002853 rounded to 7 dps?\nAnswer: -0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24473.8 and 31326178.\nAnswer: 31350651.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-4 - -2)) + (-15 - -12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 15 - 8 - 13. Let s be g(6). Suppose -5*z - 4*r + 0*r = -13, s = 4*z - 2*r. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:08 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -14*o + 65. Let b(h) = -7*h + 33. Let k(t) = -9*b(t) + 4*q(t). Let x be k(15). What is the greatest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5774426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -192 - -285. What is the highest common factor of b and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37688115.\nAnswer: 3, 5, 19, 223, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqrq when four letters picked without replacement from {q: 4, r: 10}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:10 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 7. Let c be v(4). What is the second derivative of -f**3 + 4*f**3 - 5*f - f**c + 4*f**3 wrt f?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1806526 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-59\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g\/g**0)))**28)**31\/((g\/((g**1\/g)\/g))**(1\/5)*(g*g**(1\/4))\/g*(g*g*(g*g**(4\/3))\/g)\/g) assuming g is positive.\nAnswer: g**(103981\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2145728 equal to -2145612?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3299184 divided by -1008.\nAnswer: -3273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 70*x - 296.\nAnswer: (x - 4)*(x + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*n - 3)*(-2*n**2 + 2*n**2 - n**4) - 4*n**3 + 4*n**3 - 4*n**5 - 6*n**5 + 3*n**5 + 2*n**5 + (3*n - 3*n - n)*(0*n**3 - 2*n**4 + 0*n**3).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*q**3 - 824*q**2 - q - 515404 wrt q?\nAnswer: -27*q**2 - 1648*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -25, -46, -87, -154, -253, -390?\n\"Answer: -n**3 - n**2 + 3*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 18\/11, -0.4, 5, 3\/2, 0.226, 0.3?\nAnswer: 0.226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 11. Let c = -21 - o. Let a be (7 + -4)*c\/(-6). Sort a, -0.1, -0.3 in ascending order.\nAnswer: -0.3, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-6 + (13 - 6) + 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 627 + -1251\/2. Sort -4, l, 2.786.\nAnswer: -4, l, 2.786","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04404923033 to four decimal places.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4288*y**3 + 2*y**2 + 29*y + 28. Is b(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974791 is divided by 2337?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21494*i**4 + 15099*i**2?\nAnswer: -515856*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 2*g - 3*g + (3 + 0 - 5)*(-5*g + 4*g + 3*g) + 0*g - 7*g + g)*(479 - 296 + 505).\nAnswer: -8256*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8377 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c + 3*c - 2*c - 7*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*z**4 + 6*z**3 - 50*z**4 - 2 + 3 - z in the form q + l*z + n*z**3 + o*z**2 + h*z**4 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 802 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.7, -25, -4 in descending order.\nAnswer: 1, -0.7, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -143 - -101453?\nAnswer: 101310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(10)\/sqrt(2) + sqrt(5))**2 - sqrt(5)) + sqrt(5))*-6.\nAnswer: -720 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1470 in 2123, 1, -1?\nAnswer: 2123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.0898 + -6.8. What is r rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2\/3 + 898*b\/3 + 596 = 0?\nAnswer: -447, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/10431775?\nAnswer: 3\/10431775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5546\/69139 + -2\/1411. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 560 and 216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187696 - 3428*g**2 + 93848 + 93848 + (2*g + 2*g - 5*g)*(-2*g + 0*g + 4*g) - 5*g**2 + 3*g - 3*g to the form z + s*g**2 + q*g and give s.\nAnswer: -3435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 2*z + 1. Let d be n(-1). Let p be (0 - 2\/1)*d. Is p\/5 + (-860)\/(-25) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o**2 - o - 1. Let k be s(-1). Let w be 0*3\/k - -2. Suppose 5*c - 1085 = w*h, -2*c = -4*h - 6*c - 2212. Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -37*b. Let i be g(0). Suppose -2*d = -i*y - 5*y - 1272, -3*d + 3*y + 1917 = 0. List the prime factors of d.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116912309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118328, 236650, 354972, 473294, 591616?\n\"Answer: 118322*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(12\/(-8) - -3). Suppose 2*i = 5*i - v. Suppose 3*y = -3*d + 3, -d = i*y - y + 19. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d**2 - d + 616.\nAnswer: -28*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 7*w - 34873 = r, 0 = 4*w - r - 139468. List the prime factors of w.\nAnswer: 5, 19, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2281296 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -c + 9. Suppose c*v = -f - 2*f - 64, -5*f = 2*v + 46. Let r = v + 15. Solve 6 + 0 = -r*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27450 divided by -3?\nAnswer: -9150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/2, -7, 0.18 in descending order.\nAnswer: 19\/2, 0.18, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 54635 + -3865. Let n = -50770.26197 + w. Let p = n - -0.264. Round p to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = -m. Suppose -5*l = 4*v + 150106, -3*l - 150102 = m*v + 2*v. Is 1\/8 - v\/96 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 16. Let i be -1 + 0 + 3 - (-1 + 0). Suppose -u - 3*u = -i*v + a, 20 = 5*v - 4*u. Solve -3*o + w = -10, -2*o = -o + v*w - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1, -50\/9, 2\/5 in descending order.\nAnswer: 1, 2\/5, -1, -3, -50\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31586 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11027.248*-2.\nAnswer: -22054.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3 - 9655*m**2 + 4044800*m + 613416960 = 0.\nAnswer: -117, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40448*z**2 - 57599*z**2 + 7185*z**2.\nAnswer: -90862*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 + 170. Suppose -3*r + n = -3*n - l, -5*n - 35 = -2*r. Solve 3 = r*m - 17 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16384 and 3008?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 5*o + 11 - 12, -9 = -3*r - 3*o for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922 - (-12 - (5 - 16))?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3)\/(v**(1\/32)\/v) assuming v is positive.\nAnswer: v**(-65\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-11 + -7 + 13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5307609 and 26?\nAnswer: -137997834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2411 = 2411. Solve -2*i = -3*i + 5*c - 19, 3*i + 5*c - 23 = y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -31445.\nAnswer: 62890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-15)*((-45)\/(-20) - 1). Let o(p) be the second derivative of 0 + h*p**4 + 0*p**3 - 3*p - 1\/2*p**2. Solve o(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*l + 704 = -158*l. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8968, 18136, 27304, 36472, 45640, 54808?\n\"Answer: 9168*p - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, k: 2, b: 1, w: 2, f: 1, g: 2}. What is prob of sequence wgg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -7*r**3\/3 + 14*r. Let n(a) be the first derivative of -1\/3*a**3 + 0*a + 4 + 0*a**2. Give x(n(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8194\/84273 - 8\/4013. Let z = -175\/4 + 44. What is the nearest to 1 in j, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 842625 by -2675.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18927 or -189281\/10?\nAnswer: -189281\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-12) - (-4)\/6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.027, -5, 9, 6\/7, 5, 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 96 = -16*p. Let q(n) = 5*n - 117. Let m be q(p). Solve 2*j + 6 = a - m, 9 = 2*j + 5*a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - 15. Let c(t) = 3235*t - 6747. Let j(h) = c(h) - 6*q(h). What is the first derivative of j(m) wrt m?\nAnswer: 3247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/75695358 and -57\/88311251.\nAnswer: 529867506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6*-6)\/((-1328)\/(-1660)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 6*j + 0*j)*(7*j**3 - j**3 + j**3).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, h: 1, q: 1, m: 2, k: 1, t: 2}. What is prob of sequence mhqi?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**5 - 8*a**4 - 6*a**3 + 8*a**2 - 3*a - 2. Let k(c) = c**5 + c**3 + c**2 + c. Let p(b) = 3*i(b) + 6*k(b). Determine w so that p(w) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5768 and -145\/145896?\nAnswer: 105191016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094*x - 447*x - 52499 = 167*x + 39733 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -22. Let z(j) = j**2 + 10*j + 7. Let x be z(v). Let d be (-3 + 9)*x\/4. Sort -1, -5, d.\nAnswer: -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125 + 271. Let m = -183 - -84. Let h = m + g. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.1 - 3.1. Let f = -2.9 + k. Let x = -10 - f. What is the biggest value in 1\/2, x, -5, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 7. Suppose -5*c + 15 = -0*c. Suppose -c*a + 5*j = 0, -a + 2*j - 2 = -1. Calculate g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**4*x + 2555*f**4 - 3*f**2*x + 2*f + 1577*x wrt f?\nAnswer: -48*f*x + 61320*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 10, u + 2*u + 5*q - 416 = 0. Let m = u - 134. Solve -m*i = -9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(108) - sqrt(108))**2 + -5 - ((sqrt(192) + 2)**2 + -2).\nAnswer: -32*sqrt(3) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133) - 5*sqrt(133) - sqrt(133))*5)\/(sqrt(112)*2))**2 + 4.\nAnswer: 12131\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16536 * -7\nAnswer: 115752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55 - 48 + 1578*a - 7 + (-a + 0*a + 2*a)*(0 - 2 + 3).\nAnswer: 1579*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 47*x**2 - 12*x + 2. Let j(r) = -2*r**3 - 141*r**2 + 37*r - 6. Let v(d) = -8*f(d) - 3*j(d). What is the tens digit of v(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let d be 4 - 7\/((-21)\/(-66)). Let s(a) = -a**2 - 9*a. Let j(t) = d*q(t) + 2*s(t). Let g(b) = 12*b. Determine j(g(f)).\nAnswer: -288*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 13*a**6\/60 + 43*a**3\/6 + 25*a**2. Differentiate j(v) with respect to v.\nAnswer: 78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713870951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/7)\/c*c)**(-29)\/(c\/(c\/c**(-6\/5))*c**(-3\/2)))**(-19))**(-1) assuming c is positive.\nAnswer: c**(-7429\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 914.891g in tonnes?\nAnswer: 0.000914891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o**2 - 15*o. Let q(l) = 11*l**2 + 31*l - 1. Let n(u) = 6*q(u) + 13*y(u). Let s be n(6). Let k = 47 + s. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/319 and 49\/58?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/9 - 1228*v\/9 = 0. What is v?\nAnswer: -614, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m**2 + m + 1. Determine b(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 3744634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -13 + (509 - 482).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 57.93 and 0.22?\nAnswer: 12.7446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/8 + (-3)\/12. Let j(i) = -4*i - 1. Let l(k) = -3*k + 15*k + 11 + 24 - 30 + 9*k. What is v*l(f) + 22*j(f)?\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (97*720\/(-960300))\/((-1)\/(-1))\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20 - -96) + 0 + -3. Let b = -92 + k. Solve 0 = 26*s - b*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543021.2mg to grams.\nAnswer: 543.0212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 65, 72, 83, 98?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 668706413 at most as big as 668706414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 2*c**4 - 2 + 3*c**4 + 68*c**3 - 66*c**3 in the form g*c**2 + q*c + w + t*c**4 + p*c**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -825*j**5\/4 - 136305*j**4\/2 - 29703*j**3 - 990*j**2 = 0. What is j?\nAnswer: -330, -2\/5, -2\/55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-875)\/(-260)*32\/(-240) and -53\/2.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 287 + 3?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:03 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + 51?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 - 2*i**3 + 0*i**3)*(2*i + 0*i + 0*i)*(-14 - 7 - 1).\nAnswer: 176*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 9:43 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*z = 2*z + 1, 3*z = -2*p - 12. Calculate the remainder when 53 is divided by (12\/(-2))\/(1\/p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-20)*(-4)\/(16\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - ((-824)\/(-48) - 13).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 8*g + 0*g)*(-21*g + 21*g - 2*g**2) as b*g + f*g**2 + v + a*g**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -503663.6 to the nearest one thousand.\nAnswer: -504000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -167461 (base 9) in base 14?\nAnswer: -29c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2565 and -50\/513?\nAnswer: 2565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 48334176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -4a8a?\nAnswer: 4a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5034.95978 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d + 14*d - 2*d**2)*(4*d**2 - 2*d**2 + 0*d**2 + (-3 + 3 + 1 + (1 + 0 + 0)*(0 + 1 - 2) + 15 - 31 + 17)*(3*d**2 - 2 + 2)).\nAnswer: -10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -48, -75?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.902 times 11324\nAnswer: -10214.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1022\/126 - (-72)\/81.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -90*j + 174. Determine r(-9).\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Suppose 23 = 3*t - 4*l, -3*t + 2*l + 47 = 4*l. Let w = 97 + -93. Let q(m) = -13*m + t*m + w*m**2. What is q(p(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/2)\/1)\/(31\/217)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 91, 85, 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49115\/12 - -4086. Calculate the common denominator of n and (145\/10)\/((-57)\/(-2)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 5*f**3 + 5*f**2 + 1\/4*f**5 - 95\/24*f**4 + 6*f + 0. What is z in i(z) = 0?\nAnswer: 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k - 11. Let s be j(-5). Suppose x = -4*b + 12, 0*b - 24 = -s*b + 2*x. Suppose b*p - 8 + 4 = 0. Solve 5*y = -2*u + p, u + 2*y + 2 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(539) + (sqrt(539) - sqrt(539)*1) + sqrt(539) - sqrt(539)).\nAnswer: sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 516, 559, 610, 669?\n\"Answer: 4*n**2 + 31*n + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33119 is divided by 6621.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/8 - 4*x**3\/3 + 3*x**2. What are the prime factors of t(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.34196um to kilometers.\nAnswer: 0.00000003234196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(b + 0*b - 3*b) + (6*b - 2*b + b)*(-1 - 1 - 1).\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 30 = 2*h, -29 + 9 = -4*n - 4*h. Suppose t + 36 = 5*r + n, -4*r + 21 = -t. Let a = 5 - r. Solve a = -0*z - z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 56867 + 6?\nAnswer: 56873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 5 - 2 - 405*y**3 + 424*y**3 - 3*y**2 + 3*y**2 + 2*y**3 + (-2*y**2 - y**3 + 2*y**2)*(1 + 14 - 7) to the form l*y**3 + k*y + h + m*y**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 16 = 4*p, 4*p = 2*n + 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 - (1 - 1). Let v be k - 0 - 3*1. Let o(q) = q**3 + q - 5. Let y(f) = -6*f**3 - f**2 - 4*f + 26. Let p(w) = 11*o(w) + 2*y(w). What is p(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-1 - (-1 - 4)) + -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -109, 1, -2\/3, 57, -4\/7?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, -3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-2)\/(-8) - (85470\/945 + 1\/18)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38042 and 1?\nAnswer: 38042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 19794888 to the nearest 10000.\nAnswer: 19790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*z = -708, r = -3*z - 1 - 192. Suppose 3*n + 43 + 343 = 4*y, 124 = -n - y. Let w = n - r. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**10)\/l)\/l*l*l**6\/l)\/((l*l**(-1\/27)*l)\/l*l\/((l*l*l**(-6\/7)*l)\/l)))**14 assuming l is positive.\nAnswer: l**(-2200\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (48\/216)\/(8\/182) and -95\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039032115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1457.4 + -1457. Let o = 7 + -12. Let v = -4 - o. What is the biggest value in v, 6, p?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -3*w + 22 - 19, 5*w = 10 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253937 = -5*f + 3*x, -501*x = -3*f - 506*x + 152335. What is the ten thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15\/1703 + -85945\/90259. Find the common denominator of 1 - (106\/22 - 2) and n.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5460887311 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 8 = -2*a + 2*k, -3*a = -k + 2. Let f be (2\/4)\/(a\/24). Suppose -f = -4*r + 2*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5289 - 116449\/22. What is the common denominator of (-6 + 496\/84)*(-318)\/(-8) and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 u when three letters picked without replacement from {u: 3, t: 1, i: 4, a: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 81\/4. Let r be 2\/(-6) - (-19)\/3. Let j = r - 5. Which is smaller: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1578331 to the power of 1\/2, to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*v - 3*v, v + 2 = 5*q. Suppose 4*w + 140 = -2*f + 144, -2*w - 3*f - 2 = 0. Solve -v*o = -o + w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*j - c = 10, -3*j = 2*c + 16. Let m be (10\/(3 + j))\/1. What is the units digit of (-3)\/1*(-3 + m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -3*z - 3, 27*d + 43 = -2*z - 117 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 763.2326 milligrams?\nAnswer: 763232600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 11408*d**4 + 8156688*d**3 - 32489984*d**2 + 32444416*d = 0.\nAnswer: 0, 2, 1424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1923132 or -1?\nAnswer: 1\/1923132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -0.4 (b) -5 (c) -1\/7 (d) -1.59 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*g = -6, -4*j - 2*g - 4 = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.138 + 0.028. Let x = 0.439 + -0.252. Let d = x + h. What is d rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 2*r**3 - 129*r. Let z(s) = 26*s. Calculate h(z(y)).\nAnswer: 312*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/3445 and 59\/104.\nAnswer: 27560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1716 + 1736. Calculate the smallest common multiple of 186 and w.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/9*((-470)\/(-68) + -7)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*q - 2*c - 14, 2*c = 3*q + 7. Sort q, 16, 0, 1.\nAnswer: q, 0, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 12:26 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h - 47*h - 9 = 0. Let k = 65 - 66. What is the second biggest value in k, 0.1, 1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2165592809?\nAnswer: 2165592809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 490 * 261055\nAnswer: 127916950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22644 + -8492. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2905 - -2905.1. Let v = 3\/2 - 17\/10. What is the fourth smallest value in -5, n, v, -0.7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 369, -3, -1 in descending order.\nAnswer: 369, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 v when four letters picked without replacement from vppwfvvpfvpwpwv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*r + r - 16, 4*z - 56 = 5*r. Let t = -5 + z. Calculate the smallest common multiple of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 970\/15 + 6\/(-9). Suppose p = -3*z + 175. Suppose 4*o + 13 = z. What is the remainder when 10 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuua when four letters picked without replacement from {u: 6, a: 4, h: 9}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 - -0.272. Let m = 0.4920747 - l. What is m rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122133013 (base 4) to base 12\nAnswer: -15a59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 45784163179 and 2?\nAnswer: 45784163177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1098 - -1307. What is the third biggest value in k, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, b: 3, r: 1, z: 8}. What is prob of sequence br?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o + 444. What is n(17)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rccrclgrcxrcccgrlrrc. Give prob of sequence rr.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.727878983 to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1483*q + 498*q + 106*q.\nAnswer: 2087*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 438 - 202 + 17*p**2 - 207 wrt p.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2565\/4 less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(833))**2 + (sqrt(17)*1)**2 + 4 - (sqrt(1377)*-1 + 0).\nAnswer: 9*sqrt(17) + 854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 82104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -7.357622\nAnswer: -7.357622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 64*p = 60*p + 5, -6 = -4*m - 5*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3739.89*-33.4\nAnswer: -124912.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 299.66 and 0.0185?\nAnswer: 5.54371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13032 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12664 in -37, -6, 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-12) + 1)\/((-1)\/2). Let r(q) = -2*q**2 + 4*q + 26. Let b be r(k). Is 55 a factor of 13293\/36 + (-3)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/4785 and -46\/87435.\nAnswer: 961785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x. Let f(z) = 39*z**3 + 5*z**2 - 14 - 9*z - 6*z**2 + 10*z. Let u(w) = -f(w) + k(w). What is the first derivative of u(r) wrt r?\nAnswer: -117*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 2*w**2 - 13*w - 75. What is the units digit of r(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413242201 (base 5) to base 13\nAnswer: 47529c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m + 352. Suppose -2*p = 2*p + 4*i - m, -5*i + 96 = p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6) + (-8)\/(-3). Let j(x) = x - x - x**w - 8*x. Let g be j(-8). Solve g*l - 15 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 8, -3*d - 5*q = -7 - 9. Let t be (-351)\/36*(-32)\/d. Solve s - 5*k = -0*k + t, 28 = 3*s - 5*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-88)\/(-10) - (-4)\/(-5). Suppose 0 = 11*y - 58 - m. Find the second derivative of 17*d + y*d**3 + 151*d**2 - 151*d**2 wrt d.\nAnswer: 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(1 - n**5 - 1 + 5).\nAnswer: 2*n**5 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 + 2*j. Let f be g(2). Suppose 0*n = -2*n + 10. Let w = n + f. Solve -w = -3*k + 2*t, t - 11 = 5*k + 4*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(((-11)\/12)\/(-11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -49\/2. What is the closest to 2\/3 in 2, -0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42277 or -42295?\nAnswer: -42277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-2*-2*3\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-27 - -333)\/((-2)\/(-31))?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58266016681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 1933536.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 1052, 1576?\nAnswer: 2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 27 = 3*b - 2*p, 5*p + 25 = 2*b. Let q(g) = 0 - 1 - g + 2. What is q(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/12 - 3*k**3\/2 + 9*k**2. Give h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {j: 4, e: 1, w: 4, x: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18212 - 18154. Solve f*j - 90*j = -128 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1734 and 113\/102.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/75 and -50\/77?\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 384 = -447 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -14 - 20 - -5 - (-5 - -44)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15252392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22357.155 months to years.\nAnswer: 1863.09625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13058 and 48?\nAnswer: 313392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 1\/48, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.82 and 0.2.\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2115\/4 or -529?\nAnswer: -529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 13*d + 5. Let j be o(-13). Solve j*b + y - 22 = -3*y, 5*y = 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 1\/3, -1\/5, 1\/308?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -34*r - 17. Let o be h(8). Let z = o - -18. What is z rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 7*z**6\/360 + 299*z**5\/180 - 197*z**4\/36 + 44*z**3\/9 + 219*z**2. Solve q(n) = 0 for n.\nAnswer: -44, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*l + 17, 2*b - 28 - 10 = 4*l. Let t = -15 + b. Let o = -4 - t. Solve -2*q + 23 = -5*p, o = 3*p + 7 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(-1*sqrt(27)) + 4.\nAnswer: -2*sqrt(5)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 99840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230632*m**3 + 227194*m**3 - 457809*m**3.\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 918, 3458, 8574, 17166, 30134?\nAnswer: 48378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.73 + -403.758.\nAnswer: -400.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1541*a + 1165*a + 18*a**4 - 2600*a + 3637 wrt a?\nAnswer: 72*a**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 591 - 214 + 3*t**2 + t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45176*k - 15 + 17 - 2.\nAnswer: 45176*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*j + 8*j - 4*j - 15*j + 144 to z + h*j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2565 divided by 95?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 - 2*b - 5. Suppose -4*z - z = 20. Let l be j(z). Suppose -2*y - 2*a = -10, -5 = -4*y + l*y + 4*a. Sort 0.3, -4, y.\nAnswer: -4, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -40339*r + 3065765. Determine t(76).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 + -1.04634.\nAnswer: 17.95366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = -205. What is the remainder when (-1 + (-82)\/6)\/(2028\/(-10647)) is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -45. Which is smaller: 15 or x?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 1. Let v(o) = 10*o + 1 - 5*o - 3*o - o**2 + 5 - 2. Calculate -6*l(d) + v(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310810*n**3*x**2 - 7*n**3*x - 511*n**3 + 2*n**2*x - n*x - x**2 + 2 wrt x?\nAnswer: 621620*n**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7986603, -15973222, -23959841?\nAnswer: -31946460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/17)*(f**(13\/5)\/f*f)\/f)\/(f**(-1\/4)*f**(-41)) assuming f is positive.\nAnswer: f**(14649\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7024831 to the power of 1\/2, to the nearest integer?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**3 - 9*m**2 - 12*m + 68. Give w(-5).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -240 + 241. Which is the third smallest value? (a) i (b) 1\/8 (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00084443035 to seven dps.\nAnswer: -0.0008444","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1700383 divided by 2.\nAnswer: -1700383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 3*w - 36, 0 = 26*v - 31*v - 4*w + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10842, -10787, -10632, -10323, -9806, -9027, -7932, -6467?\n\"Answer: 9*o**3 - 4*o**2 + 4*o - 10851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4289*b**5 - 2*b**3 - 645*b**2 - b wrt b.\nAnswer: -257340*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/29588 and -87\/4.\nAnswer: 29588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1*sqrt(495)\/sqrt(11))\/sqrt(9) - ((sqrt(5) - (sqrt(5) + (5*sqrt(60))\/sqrt(12))) + -2*(3 + sqrt(5))))*4.\nAnswer: 4 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21637600 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.0759781 nanograms?\nAnswer: 0.0000000000000759781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 8*d. Let q be v(-8). Let u(i) = i + 3. Let n be u(q). What is the second derivative of p + p**n - 3*p**2 + 3*p**2 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 425, -1, 0, 5 in decreasing order.\nAnswer: 425, 5, 0, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h. Let w(t) = -135*t**2 + 4*t - 8. What is d(w(u))?\nAnswer: -405*u**2 + 12*u - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/15325666 and 68\/4465?\nAnswer: 76628330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2547 - -7928. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 2. Let l be s(-2). Let k = 19 + l. Suppose -k*r = 2*q + 500008, q - 99996 = -3*r + 4*r. What is r rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = 1185 + 1081. Calculate the remainder when d is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 775\/85 - (6 - -3)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/1219 + -69417\/26818. Let i = 3510683\/60 + -58514. Find the common denominator of i and c.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**7\/126 - 2*d**6\/45 + d**5\/15 + d**4\/18 - 5*d**3\/18 + d**2\/3 + 4*d. Factor k(h).\nAnswer: (h - 2)*(h - 1)**3*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:37 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*n + 380 + 404 = 192. Let h(r) = -9*r + 59. What is h(n)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121022202212 (base 3) to base 4.\nAnswer: -1032130223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-20)\/(-15)*-3. Let p be (u\/(-14))\/((-16)\/(-56)). Let h(w) = -2*w**p + 2*w - 3*w - 3*w. Calculate h(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 789 and 0.03?\nAnswer: 788.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from exeexxkkeexee?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 252 = -7*n. Let m be (-97)\/(-9) - (-14)\/n. Let r be (-2 + 0)\/(-2) + 76. What is the greatest common divisor of m and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + -1 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16819*n**3 - 702*n wrt n.\nAnswer: -100914*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Let d(k) = -13*k - 4. Let x(a) = -27*a - 9. Let f(o) = 9*d(o) - 4*x(o). Calculate c(f(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -77234 divided by 3?\nAnswer: -77234\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 18 = -2*p. Let c be (p\/(-3))\/(1*-1). Find the second derivative of y**5 + c*y - y - 3*y**5 wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6588 and 149\/38430?\nAnswer: 230580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.3 + 39. Let i = q + 0. Let b = -1.69999977 + i. Round b to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108887?\nAnswer: 108887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32336430 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Which is the closest to -2? (a) w (b) 3 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 4*t**2 - 6*t + 4. Let x be v(-6). Suppose 0 = -j + 3*j - 94. Let d = j + x. What is the remainder when 37 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25360 = -42*i + 234814. List the prime factors of i.\nAnswer: 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71613, 71520, 71427?\nAnswer: 71334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -52, -123, -234, -391?\n\"Answer: -b**3 - 11*b**2 + 3*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*i + 25, 2*i - 251 + 220 = -3*x. Suppose 18*g - 16*g = 2. Solve -g = 10*k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233854.11 months in millennia?\nAnswer: 19.4878425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in six fifths of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -36*q**2 + 152*q - 462. Let r(d) = 91*d**2 - 306*d + 924. Let o(v) = -10*h(v) - 4*r(v). Factor o(c).\nAnswer: -4*(c - 3)*(c + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 2*g**2 - 3*g**2)*(-g**2 + 5*g - 5*g).\nAnswer: g**4 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-24)*(-192)\/16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 5515 + 0*x + 1834 + x + 1851 + 1845 - x**2 to t*x + z + v*x**2 + a*x**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7156, -14191, -21226, -28261?\nAnswer: -35296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 9, 7, 3, -3, -11, -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 7*j. Solve 2*u - z = -5, j*u + z - 1 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4302 and 17\/1041801.\nAnswer: 6250806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1658 = 5*d + 1670, -3*d - 24 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7846451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m + 3. Let h(y) = 11*y + 4. Let t(k) = 3*h(k) - 4*w(k). Let d(i) = 14*i - 538 + 538. Determine t(d(b)).\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 0)*(15 + -8). Suppose 5*m - 30 = -5*p, -2*p + x = 2*m + m. Find the second derivative of -p + s - 4*s + 11 - 2*s**2 wrt s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Suppose 4*l - a + 27 = 0, -3 + 6 = 2*l + 5*a. Let t be 0*(-3)\/l - -2. Let w(y) = 2*y**2 + 4*y**2 - t*y**2. Determine s(w(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359253577?\nAnswer: 19, 18908083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/6 - 703*p**4\/3 - 64642*p**3\/3 + 71677*p**2\/3 + 387879*p\/2 - 196050 = 0. Calculate p.\nAnswer: -1307, -100, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(121)*-2 + sqrt(121) - sqrt(121))*-1)\/(-2*3*sqrt(891)).\nAnswer: -sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.963382 rounded to 1 dp?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 8 + 6 = 0. Which is smaller: f or 1\/178?\nAnswer: 1\/178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**4 + 151*p**2 + 15?\nAnswer: -4*p**3 + 302*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m + 37 - 18 - 3*m. Let a be w(3). Let l = -63\/4 + a. Is 29 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 279*n - 2. Let b(g) = -g**2. Calculate u(b(w)).\nAnswer: -279*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.03, -1, -2\/15 in descending order.\nAnswer: 8, 0.03, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323862 is divided by 182?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3 + f + 1. Let s = 8 + -11. Is 14 a factor of x(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2134*p + 2134*p + 97*p**3 + (-2*p - 4*p + 5*p)*(9*p**2 - 2*p**2 - 5*p**2).\nAnswer: 95*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377674 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 36\/((-42)\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -90*r**2 - 7*r - 3. Let l(x) = -135*x**2 - 10*x - 4. Let m(a) = 5*l(a) - 8*n(a). Is m(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 638824540, 1277649078, 1916473616?\nAnswer: 2555298154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from {a: 2, l: 2, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:12 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -13. Let v = 44 - m. What is the highest common divisor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 7, x: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -4 + 5 + (4 - 11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*n, 0 = -2*w - 2*n - 2*n. Let z(m) = -m - 6. Let q be z(w). Let t = -4 - q. Solve 3*j - 4*x = -4, t*j = 6*j - 4*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 133? (a) 0 (b) -4 (c) 5.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*v + 8569 + 8483 - 4226 = 0 for v.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34341.3 decades to months.\nAnswer: 4120956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, x: 3, c: 2}. Give prob of sequence xxox.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l - 96. Let i = -5 - l. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19141298029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1457921 + 2\nAnswer: 1457923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(252))**2 - (2 + sqrt(7) + -5)**2) + -2.\nAnswer: 6*sqrt(7) + 2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/119 and 29.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 3984 + 799 = 0. What are the prime factors of i?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -9*l + 34. Let i(y) = -y**2 + 16*y + 69. Let j be i(l). Solve 0*w - m + 7 = 4*w, -4*w + 4*m + j = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 160344, 159920, 159520, 159156, 158840, 158584, 158400, 158300?\n\"Answer: 2*c**3 - 438*c + 160780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 54*m + 5671. Give z(-105).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 186232*j - 931184. Calculate y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3027 + -3030. What is the closest to -0.1 in -1\/5, 4\/7, h, -463\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -896, -5, -1 in descending order.\nAnswer: -1, -5, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 3, 5, -5, -31, -15 in decreasing order.\nAnswer: 5, 3, -5, -15, -31, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2\/8 - 260943*r\/2 + 521889\/2 = 0.\nAnswer: -347926, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1095 - -1066) + (2 - -40) + (-16 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/(-528))\/(14\/4312)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14670140 and 52600?\nAnswer: 5260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -755 - -755.04. What is the biggest value in z, -1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35944.7 and -3.1.\nAnswer: 111428.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.4735072134 - 16\nAnswer: -13.5264927866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 514*p**4*w - 17554*p**3*w - 19927*p**2*w - 57*p*w wrt p.\nAnswer: 12336*p*w - 105324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -88. Solve -5*c = -3*f + 21, c + u = 4*f + f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. Let z = 225.36 + -225.46. What is the smallest value in 3\/7, z, r, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 7, 9, 11, 13, 15?\n\"Answer: 2*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 143415*z - 286942*z + 1 + 143541*z - 5 - 3*z**3.\nAnswer: -3*z**3 + 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {i: 8, x: 1, y: 1, o: 1, m: 1, s: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.076 - -109.276. Let r = l - 108. Which is the fourth smallest value? (a) -6 (b) -1\/3 (c) r (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)\/(1\/(-29)) + -3. Let p = 26 - y. Sort 2, -9, -2, p in decreasing order.\nAnswer: 2, p, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(6\/66)\/((-6)\/(-33)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.05.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7807070 + -0.1039472?\nAnswer: -7807070.1039472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.063*-0.09.\nAnswer: -0.00567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 10 + -4 + 6)*(-27 + 26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -167\/378 + -7\/54. Suppose -2*z = 2 + 2. What is the smallest value in 2\/19, z, c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = l, -2 = -4*l - 4*t + 2. Suppose -20 = -2*h - l*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/35, 13563, 0.3 in increasing order.\nAnswer: 6\/35, 0.3, 13563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11318 + -11316. Let z(c) be the first derivative of 0*c**l + c**5 + 22\/3*c**3 + 0*c - 2 + 0*c**4. What is the third derivative of z(q) wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72419 is divided by 12043?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-990)\/2*((-98)\/(-21) + -5). What is the third derivative of -260*g + 2*g**2 + 20 + w*g**5 + 132*g + 128*g wrt g?\nAnswer: 9900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2 = -a, 0 = 4*o + 4*a + 20. Let f be (10\/o)\/((-5)\/18). Suppose 3*s = f*s - 27. What is the lowest common multiple of 2 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15719 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Suppose o*h = -h + 3. Suppose -3*x + x + 36 = -u, h*x = 5*u + 47. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 y, and 1 j when four letters picked without replacement from fvjyygjv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*y**2 - 84*d**2*y + 10*d**2 + 2*d*y**2 + 3*d - 8*y**2 - 23*y wrt d?\nAnswer: -4*y**2 - 168*y + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 - 109. Let u = 1 + -1. What is the smallest common multiple of v - (2 + u\/1) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 1059*j + 2025*j - 172*j to the form i*j + q and give i.\nAnswer: 2912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7959079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12666?\nAnswer: 2, 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -7*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u**2. Let g(n) = -39*n + 341. Calculate g(j(b)).\nAnswer: 429*b**2 + 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555304?\nAnswer: 2, 41, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 + z - 2. Calculate the remainder when 3 is divided by c(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 27 = -7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.5 + 2.5. Let d be (1 + 0)\/((-1)\/2). Let i be 2 + d + 2\/14. Which is the second biggest value? (a) i (b) t (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 7*d**2 - 4*d**4 - 2 + d**4 + 17*d**2 to the form f*d**3 + s*d**2 + i + r*d + v*d**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1785\/85 + -60 - -134.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 10:08 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4016 and 229760.\nAnswer: 57669760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 694*q**4 - 2*q**3 + 17*q**2 + 59.\nAnswer: 16656*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28220717905 + -28220716759.00001844. Let f = d + -1146. What is f rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -5. What is the closest to -1\/3 in 0.4, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41151?\nAnswer: 3, 11, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 42*w. What is m(-1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586.6 + -586. Let w be ((-55)\/(-6))\/(-5) - 6\/9. What is the third biggest value in w, 2, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**3 - 18*b**2 - 4*b + 49. Let u(a) = 62*a**3 - 120*a**2 - 27*a + 341. What is -20*r(h) + 3*u(h)?\nAnswer: 6*h**3 - h + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5339.224 rounded to the nearest 10?\nAnswer: -5340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 4*o**2 - o**2 + (2*o**2 + 0*o**2 - 3*o**2)*(-2 - 1 + 2) - o**2 + o**2 + o**2 + 5*o**2 - 3*o**2 + 0*o**2 - 3*o**2 - o**2 + 0*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 11) in base 3?\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29109.\nAnswer: 3, 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 1101100100001001100011?\nAnswer: -1101100100001001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 714 and 9758?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + l**2 - 3 + 1)*(-7190*l + 3266*l + 3294*l) to r*l**3 + b + w*l + s*l**2 and give w.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20, 3, 140, -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 5072751*y**2 - 15218260*y + 10145508.\nAnswer: (y - 2)*(y - 1)*(y + 5072754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2758?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -160, -163, -166, -169, -172, -175?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 + 1882250*c + 7528968 = 0. What is c?\nAnswer: -941121, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11630 - -11659. What is the highest common divisor of q and 14761?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 - 95*t - 93*t + 53)*(t**3 + 6*t**2 - 6*t**2) to the form f*t**2 + x*t**4 + a + d*t + q*t**3 and give x.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 7*x**2 - 12*x + 14. Let f be l(8). Let v = f + 20. What is the smallest common multiple of v and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 108*t**2 + 217*t + 420. Determine w(-106).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*y - 1394 + 123 = 0, -3 = y. Calculate the remainder when 1008 is divided by m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q + 50655 + 199694 = -86179. Is 31 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113.8 + 113.6. Which is the closest to 0? (a) -2\/7 (b) -3 (c) t (d) -0.202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 1. Let c be x(9). Solve -5*z - 10 = 3*j, 2*z + 3*z - c = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 69 = 3*x + 9, 1365*x - 1369*x - 2*h + 22 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 - -118.1. Which is the nearest to -0.2? (a) -4\/3 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, -5, -1421 in ascending order.\nAnswer: -1421, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/3 + 4*j**3\/3.\nAnswer: -j**3*(j - 2)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3118*f**3 + 297*f - 297*f.\nAnswer: -3118*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/5 (b) 0.3 (c) 5\/3 (d) -6\/17 (e) 1\/33 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4474639 is divided by 406783.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394986*a**2 + 68*a + 722.\nAnswer: 789972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -220*m. Let z(a) = 4*a + 2*a - 5168271 + 5168271. What is o(z(u))?\nAnswer: -1320*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2779449\/728 or -3819?\nAnswer: -2779449\/728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - 27*q + 15. What is l(-6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-10) - 2369\/(-7360) and 89\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, 5\/12, 3, -3\/7, -4\/5, 8 in decreasing order.\nAnswer: 8, 3, 5\/12, 0.16, -3\/7, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j + 2*d - 362, -3*d + 361 = 2*j. Let t = j + -184. Let v be (-4)\/(-5) + 0 - 1. Which is the biggest value? (a) v (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7379745 litres to millilitres.\nAnswer: 737.9745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 31. Suppose -18*z = -h*z - 5. Put 2, z, -2, -4 in decreasing order.\nAnswer: 2, z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 738516 is divided by 1767.\nAnswer: 1677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 39, 46, 53, 60, 67?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**4*u)\/u)\/((u*u\/u**0)\/u)*u*(u*u**(-5))\/u*u*u*u**(-1))\/(u**4\/u*u*(u\/(u**(-4)\/u))\/u*(u**(-1))**(-24\/7)) assuming u is positive.\nAnswer: u**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*i = 11, -2*i = 2*j - 7*i - 22. Let n(k) = -k**3 + 2*k**2 + k + 1. Let t be n(2). Solve o - j = t*f, 5*o = -4*f + 2*f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29736442?\nAnswer: 2, 257, 57853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 1206?\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 843 by 5808.\nAnswer: 281\/1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/11, -26657, 0.1, 10 in ascending order.\nAnswer: -26657, -3, -2\/11, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 11*o - 2*o. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqf when three letters picked without replacement from qrrfffffqcff.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -8, -450 = 4*h + 5*s - 452 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/44*(-11)\/((-682)\/372)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272*g**3 + 5578*g**3 + 6241*g**3.\nAnswer: 13091*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -5, 2, -7, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -532?\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**3 + 710*u + 2871?\nAnswer: -12*u**2 + 710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/13 + 187874*w**2\/13 + 4411610262*w\/13 - 22062748410\/13 = 0. What is w?\nAnswer: -46971, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-10))\/(6\/(-20)). Which is greater: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -54. What is the third derivative of -3*r**4 - 19*r**2 - 9*r**g - 10*r**2 wrt r?\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13190, -13643, -14372, -15353, -16562, -17975?\nAnswer: -19568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 - -92. Let b be j\/(28\/20) - -70. What is the greatest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(7\/21*-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53282, 53345, 53508, 53819, 54326, 55077?\n\"Answer: 8*w**3 + 2*w**2 + w + 53271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {z: 1, x: 2, u: 1, h: 4, g: 2, e: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857496.51s to days.\nAnswer: 9.924728125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 8) + 9 - (-3 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-35978140)\/99)\/(-22) - 1\/(-9).\nAnswer: 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(260)*-6)\/sqrt(10))\/(sqrt(400)\/(sqrt(48)\/sqrt(6))).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, -4, 5, -2, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5. Is r at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2\/3 - 472*j\/3 - 27848\/3 = 0.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 0*m**2 - 1\/450*m**6 + 3 + 0*m**4 + 2\/3*m**3 + 1\/300*m**5 + 0*m. Let g(u) be the third derivative of i(u). Factor g(z).\nAnswer: -2*z*(2*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602 is divided by 497?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7767481m?\nAnswer: 77.67481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4. Let r = -10.2 + 4.2. Which is smaller: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4895*p + 391. List the prime factors of d(-1).\nAnswer: 2, 3, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 8, -7, -28, -55, -88, -127?\n\"Answer: -3*r**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3650.72 - -4011.1. Round g to the nearest integer.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -93b0b?\nAnswer: 93b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2. Let m(b) = 2*b**2 - 84. What is j(m(g))?\nAnswer: 4*g**4 - 336*g**2 + 7056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6*z = -16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let u(s) = 12*s. Let a(t) = t. Let n(p) = 38*p - 185. Let w be n(5). Suppose y + 2*v = -26, 15*v + 116 = -w*y + 12*v. What is o*u(k) + y*a(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 105 + 37. Suppose 8*k + x = -4*a + 3*k, -3*k = 4*a + 7. What is the second derivative of 6*j**3 - a*j**4 - 6*j**3 + 0*j + j wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*f**4*k - 2*f**2*k**2 + 31*f**2*k - 9988*k**2 + 2 with respect to f.\nAnswer: 44*f**3*k - 4*f*k**2 + 62*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (17 + -2 - -16).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-5)\/(-60)*6. Suppose u = -y + 4*k - 14, -25*y + 22*y = -4*k + 10. Solve 0 + 8 = -2*i - y*a, 2*i - 2*a = -12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**2 - 10*h + 1. Let m(t) = -t**2 + 5*t - 1. Let s(g) = 3*f(g) + 5*m(g). List the prime factors of s(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1542*s**2*v - 25*s**2 + 3*s + 13*v + 2640 wrt v?\nAnswer: 1542*s**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/122847527 or 0?\nAnswer: -6\/122847527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/6, -5, 1\/6, -4\/3, 0.023, 2 in decreasing order.\nAnswer: 13\/6, 2, 1\/6, 0.023, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1825.055 - 4745187.9.\nAnswer: -4747012.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.45 and 777115.\nAnswer: 777114.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9 = g - 55, 4*p = 4*g - 172. Suppose g*o = 33*o + 28. Sort o, -5, -2, -40 in descending order.\nAnswer: o, -2, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 13*y = -329. Calculate the remainder when y is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94 - 94.5. What is the second biggest value in 5, 2.6, k, 1\/6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k - 214*k - 84*k = 10296 for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 1\/2*r**2 + r - 74. Let n(s) = 3*s. Calculate c(n(b)).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**14*s)\/s*(s\/(s\/(s*s*s*s\/s**10*s*s)*s))\/s)**(4\/7) assuming s is positive.\nAnswer: s**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnnn when four letters picked without replacement from {y: 1, t: 2, g: 3, x: 1, n: 8, d: 2}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 135*r + 266. What is the lowest common multiple of j(0) and 77?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*v - 121836*h**2*x - 39*h*v*x - h*x + 913*v wrt v.\nAnswer: 2*h**2 - 39*h*x + 913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -57, -83, -109, -135, -161?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 not equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899 a factor of 1395506686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k + 10*k + 12. Let g(i) = i**2 - 7*i + 4. Let u be g(4). Let o be u\/12*(5\/k + 0). Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -0.1.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - p + 248 = 36*t, -p - 1751 + 1760 = t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**2\/3 - 1358*r\/3 + 11736 = 0. Calculate r.\nAnswer: 27, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1425815338 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1394\/335 - -16\/67. Is 4 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -578462, -4 in descending order.\nAnswer: -1, -3, -4, -578462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -786229, -3144920, -7076071, -12579682, -19655753, -28304284, -38525275?\n\"Answer: -786230*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1341429 and 272174?\nAnswer: 18780006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 144817 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3*v**3 + 2*a**3*v - 42*a**2*v**4 - 7*a**2 - 3*a*v wrt v.\nAnswer: -18*a**3*v - 504*a**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -136 - 221867\nAnswer: -222003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -84*z**2 + 4*z**3 + 296*z**2 - 1 + 2 - 6*z**3 in the form d*z**3 + k + s*z + p*z**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 0)*(-7)\/3. Suppose -3*n - 20 = -q*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*j = 123, -u - 2*j = 2*u - 89. What is the remainder when u is divided by (1\/(-2))\/(1\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)*s)**23\/(((s*s*s\/(s*s**(1\/4)))\/s)\/(s\/s**(-2\/9))) assuming s is positive.\nAnswer: s**(5881\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let s(x) = -3275*x**2 + 89. Calculate s(p(j)).\nAnswer: -13100*j**4 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = z + y + 13, -5*z = -3*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**7\/105 + 8*n**6\/75 - 21*n**5\/50 + 7*n**4\/15 + 4*n**3\/3 - 24*n**2\/5 - n. Solve d(c) = 0 for c.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*-3*1)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -40\/9, 0.5, -88?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3770 + 12860. What are the prime factors of i?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/28 - -963*6\/42. Suppose -3*p + 4*u = -125, 0 = 3*p - 3*u + 15 - o. Calculate the highest common factor of p and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132303003 (base 4) in base 14?\nAnswer: 12d079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 4:14 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/24310 and 45\/25808354.\nAnswer: 2193710090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16756 - 16754. Put -7, 0, y, -4, 1 in descending order.\nAnswer: y, 1, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/((x\/x**(2\/13))\/x))\/x))\/x*x*x**(-6\/13)*((x\/(x\/(x\/(x*x\/(x\/((x*x**(-23\/5))\/x*x*x)*x)*x))*x))\/x*x)\/(x\/(x\/x**(-3\/28))*x) assuming x is positive.\nAnswer: x**(1987\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(0 - 1 - 1). Suppose 0 = 5*i + 2*x + 12, 2*i + i - 3*x + 24 = 0. Let u be r\/i + (-65)\/(-20). Solve -j + u*j - 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 6*b**2 - 6*b - 5. Let m be v(-5). Let d be 3 + m + 2 + -4. Let a be 5\/((-105)\/24) + 1. Is d at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16b45b005 - -5?\nAnswer: 16b45b00a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13187 (base 9) to base 13\nAnswer: 4093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5472470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.16 + -0.33. Let k = s - -0.169568. Round k to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2517 is divided by 80?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -10*z - 7. Calculate l(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/6)\/(8\/(-12)) - 11. Let k be (b - 69\/(-22))*(-2 + -2). Which is smaller: 12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 549.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-4))\/((-209)\/286). Let f = 1847\/342 - t. Calculate the common denominator of f and 83\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/20)\/(-5)*(-4)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -14. Let c be (2 - g)\/(-2 + 1). Suppose -2*t + 20 = -t - c*h, -t - 4 = h. Solve 3*k - 2*w - 9 = t, -3*k = 5*w + 4 + 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 58*k = -29*k - 5721500. What is k rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.01, -1, 3, 1\/72, -3\/2, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 3:04 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180384.\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 + 13*f - 11. Let h be s(10). Let o = -104 - h. Suppose 0 = 4*u - 75 - o. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + n = -12 - 9, n = 5*v + 75. Let d be (v\/(-6))\/(10\/105). Suppose -d*z = -32*z + 120. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 448 and 46718.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4741 is divided by 80?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3\/7 + 4461*s**2\/7 + 1267092*s\/7 = 0.\nAnswer: -244, 0, 1731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (8 - (-1 + 18 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/7)\/2)\/(((-25)\/(-7))\/(-5))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (561\/110 - 5)\/(6\/10)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3\/8, -2\/9, 0.05, 5\/13, 151?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2827, 2720, 2625, 2548, 2495?\nAnswer: 2472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 + -2 + 3 + (67 - 29)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22) + sqrt(198))*2)\/(sqrt(11) + (sqrt(99) - -2*sqrt(99))) - (sqrt(1800) + 1)*3)*-4.\nAnswer: 12 + 1784*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -n + 6228, -659 = 2*o - 3*n - 3773. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28367834 is divided by 9455916?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1\/5, -5, -1\/7 in descending order.\nAnswer: 1\/5, -1\/7, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + -1. Let m = 2 + v. Let z = -7.7 - m. What is z rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {k: 7, e: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 2*u**2 - 2*u - 6. Calculate g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42751674480287 and -5.\nAnswer: -42751674480292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j + 1. Let a(t) = -2*t + 2. Let p(z) = -2*a(z) + 2*o(z). Let k(w) = -1. Let c(s) = -s. Let q(l) = -c(l) + k(l). Calculate -6*p(i) + 13*q(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 7:39 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 - 2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1011036588 by 12.\nAnswer: 84253049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 3*j**5 + 3*j**5 + (j**4 - 2*j**4 - j**4)*(j + j - 3*j + j + 2 - 2 + (-5 - 2 + 5)*(-5*j + 4*j - j) + 3*j - 5*j + j + 0 + 0 + 3*j).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {a: 1, o: 3, r: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.2, -0.1, 2353, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 v when three letters picked without replacement from eeveiiveiveeeiivev?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3986*c*i**2 - 10*c*i - 10*i + 4 wrt i.\nAnswer: 7972*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.9. Let p be 3\/(-2)*(-40)\/30. Let h be p\/3*(-3)\/11. What is the nearest to -2\/3 in -0.2, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/4 of a meter in centimeters?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -51 - ((16 - 14) + -11).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*x + 226*x - 16*x**2 + 39*x**2 - 36*x + 2585 - 20*x**2 wrt x.\nAnswer: 6*x + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*n - 15*n**3 + 28*n + (-2*n - 2*n**3 + 2*n)*(2 + 0 - 3) + (-3 + 6 - 1)*(4*n**3 + 0*n**2 + 0*n**2).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 28, 37, 64, 115, 196?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(29\/3)\/u**(3\/34)*(u*u**(-4\/17)*u)\/u**30 assuming u is positive.\nAnswer: u**(-1903\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0.1, 3\/16, -3, -614.02 in descending order.\nAnswer: 3\/16, 0.1, -1\/5, -3, -614.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Let g be l(-1). Let t = 1.8 + -0.8. Which is the second smallest value? (a) g (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:07 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1616 or -1168?\nAnswer: -1616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06526 (b) -65 (c) 79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17 = 63. Suppose -72 = h*q - 392. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 plus -421579.3721?\nAnswer: -421536.3721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/11 (b) -4\/5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -4124303?\nAnswer: -4124243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -44. Let g be (f\/(-20))\/(14\/8). What is the third biggest value in -0.4, g, 18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-3)\/(-15))\/((-66)\/55)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 30*k + 35. Determine b(-30).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 16*h - 11. Let s be n(15). Suppose t = -k - 3*k + 7, 28 = -s*t - 2*k. Is (-1636)\/(-8)*(-7 - t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-590)\/(-209745))\/(14\/(-63)).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89540*l + 89540*l - 14*l**2.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**2 - 2*l**2)*(-2*l - l + l) + ((1 - 3 + 1)*(3*l + l - 5*l) + l - 4 + 4 + 0*l + 0*l - 3*l - 3*l - 4*l + 3*l)*(-3*l**2 - l**2 + 3*l**2).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21.961 - 7.961. Which is the nearest to -0.5? (a) -8 (b) 3\/2 (c) g (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*s - 140 = -307*s. Is -32894*(-2)\/s*-5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 19*c = 169. Suppose -88 = -17*d + c*d. Let a = 74 - 44. What is the lowest common multiple of d and a?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*k + 100*k + 18. Let x be (-5575)\/930 - 1*k. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + (-1 - 0))\/(84 - 85). Let l be w\/(-42)*2\/(-4)*4. Let v = 4 - 7. Sort v, 3, 0, l in decreasing order.\nAnswer: 3, l, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*j + 50. Let q(i) = 6*i**2 + i**3 + 0*i**3 + 7 + 6*i + 0*i. Let w be q(j). Put w, -5, 3 in ascending order.\nAnswer: -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - -1.08. Let x(l) = 2*l + 5. Let q be x(-5). Let i = 86.7 - 87. Put q, m, i in descending order.\nAnswer: m, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.05932 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 24 = 6. Let x be (-6)\/9*45\/(-6). What is the derivative of -7*m**w - 11*m**2 - 4 + x*m**2 - 4 wrt m?\nAnswer: -26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -376 = -t + 5*o, -3*t + t = -5*o - 757. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 483*x - 459*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2175 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 5*d**3 + 4*d**3 - 2*d**3 to the form s*d**2 + h*d + z + v*d**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -357*r**2 - 1380852*r + 92832.\nAnswer: -3*(r + 3868)*(119*r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*z + 27 = 0, -11 = a + 4*z - 0. Let g be (4 + -9)\/a + 265. Is g <= 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 3)*(-2)\/4. Suppose 2*w = u + 1. Let r = 15 + -6. Calculate the smallest common multiple of r and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21428712 by -32616.\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**5\/20 + 3*d**4\/4 + 4*d**3\/3 + 17*d**2\/2 + 24*d. Calculate q(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -573, -0.3 in decreasing order.\nAnswer: 4, -0.3, -4, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2143 in 1\/4, -1, -4, -8\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1485076 is divided by 74253?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, -4\/347, 2\/251?\nAnswer: -4\/347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -505615677 - -505629900.400192. Let q = z + -14227.6. Let g = q + 4.2. Round g to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 4*s**2 + 4*s - 3. Let p be m(2). Let i = 24 - p. Suppose -2*l + 0*l = -5*h - 6, -3*l = -3*h - i. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2832, 11348, 25548, 45456, 71096, 102492, 139668?\nAnswer: 182648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -75*j - 740. Let h be k(-10). Solve 2*c - 40 = h*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -2*n - 4*v, 4*n = 8*n - 3*v - 97. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4 + 32. Let c = -1 - m. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -471.975 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -982, -1966, -2950, -3934, -4918, -5902?\nAnswer: -6886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*l - 492 + 492)*(6 + 0 + 0).\nAnswer: -210*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 - -1121?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4\/15 - -29\/60. Suppose -6*d - 21 = -5*r - 3*d, -2*r + 5*d = -16. Suppose k*g**r + 0 - 1\/4*g + 1\/2*g**2 = 0. What is g?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + n)*(5 - 12 + 4)*(3*n + 47 - 47).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 745 (base 16) to base 10\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 20 = 3*i, -5 = v + i. Find the common denominator of 101\/22 and 357\/60 + v*1.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a second in milliseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 398 (b) 0.09 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31823715*g**2 - 31823712*g**2 - g - 35 - 2*g**4 - 3 to the form z + l*g**2 + c*g + k*g**4 + n*g**3 and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 392?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, u: 12}. What is prob of sequence ub?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-342 - 5)\/(1\/(-1)*-1). Let x = 359 + j. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/56*-16*4\/(-40)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 5694 = -5749 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-4 + 2 + 3 + (-3 - 3 + 7)*(5 - 2 - 2))*(2*y + 0*y - 3*y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w - 8*w + 34*w - 11*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167661049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 6*k - 5. Suppose -3*u = 2*u - 25. Let l be o(u). Suppose 32 = -l*r + 4*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/2 - 2*p**3 + p - 3571. Let c(v) = 5*v**3 - 17*v**2 + 3. Determine -6*c(d) + 17*j(d).\nAnswer: 4*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80329739?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3)\/(l*l*l*(l*l*l*l**6*l)\/l*l))**(2\/9) assuming l is positive.\nAnswer: l**(-76\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3106706 - 1616706. Round q to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (57 - 46) - -19\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -39*q**2 - 11*q. Suppose 9*m - 66*m - 969 = 0. Let h(i) = -13*i**2 - 4*i. Give m*h(j) + 6*z(j).\nAnswer: -13*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, -4\/5, -5, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 97*s + 2. Let x(y) = -y**2. Determine x(z(h)).\nAnswer: -9409*h**2 - 388*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(125))**2 - (sqrt(180) - (sqrt(180) + 2)**2)) + (1*sqrt(35) + sqrt(35))\/sqrt(7) + sqrt(5) + (sqrt(500) - -1*sqrt(500)).\nAnswer: 41*sqrt(5) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105055 + -1?\nAnswer: 105054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 303354*h**3 + 290640 wrt h.\nAnswer: 910062*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -26\/612051 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1189*s**3 - 223*s + 223*s - 12572*s**3.\nAnswer: -13761*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (53\/(-5))\/(10\/(-25)). Let u = 26 - g. Let q be -4*2*(-2)\/(-4). Put q, 0.4, u in decreasing order.\nAnswer: 0.4, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 13. Let t be o(-9). Solve -t*w - 4*z = -2*z - 2, 5*z = -4*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 534 - 179 - 389 - (-1 - (0 + 2 - 4)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 3\/2 (c) -0.17 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*b - 84*b - 203*b + 21*b to m*b + p and give m.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61512*g + 5 - 5 - 8408*g - 2368*g.\nAnswer: -72288*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*s = -42, -4*b - 21 = 9*s - 12*s. Does 12 divide (b\/6)\/((-1)\/14*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 10\/((-40)\/12) + 5 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 8875?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-3))\/(1\/(-2)). Let v be (5\/a)\/((-1)\/(-50)). Let o = v + -15. What is the remainder when 29 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50226203527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from czzzzzzzzzzz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1.5, 9\/11, 0.02?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + y**4 - 4*y**2 + 2 - 4*y + 3 - 1 to the form d*y**3 + r*y**2 + f + c*y + g*y**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 6:56 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9623\/12 + -806. Let k = 1\/2744 - -13029\/13720. Find the common denominator of k and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2. Let f(j) = -3*j**2 - 3*j - 11*j**2 - 2*j**2 - 2*j**2. What is f(h(m))?\nAnswer: -18*m**4 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14595011*s**3 + 39*s**2 - s + 1156 wrt s?\nAnswer: -87570066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from uuuuuuuauuua?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 731.0962mm?\nAnswer: 73.10962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4910, -4858, -4806?\n\"Answer: 52*v - 4962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2786, 22288, 75206, 178244, 348106, 601496?\n\"Answer: 2784*b**3 + 4*b**2 + 2*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 7. Let q(p) = 3*p - 1. Let r be q(6). Let c(x) be the first derivative of -3*x**2\/2 + 20*x - 78. Calculate r*j(k) + 6*c(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113\/3, 1\/4, -1\/110 in decreasing order.\nAnswer: 1\/4, -1\/110, -113\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1, -19, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*j - 4, -2*g + 2*j + 2*j = 0. Solve -4*h + 8 = 2*p, 0*p - 3*p + 12 = -g*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t - 3. Let k be i(4). Suppose 0 = -7*j + 2*j + k. Put -2, j, -5 in ascending order.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10 and 4\/793.\nAnswer: 7930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(1 + sqrt(637) + 1))**2.\nAnswer: 448*sqrt(13) + 10260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 55*b**2 + 2*b - 1. Let w be g(3). Let k be w*(15*-4)\/3. Let u be k\/((-1 + -2)\/(-450)). Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 15*p - 11. Let z(v) = 7*v + 5. Suppose 2*c - 30 = 7*c. Let k(b) = c*y(b) - 13*z(b). Give k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.4 - 8.19. Let q = m - -0.7899918. What is q rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -41, -3, 6, 3.\nAnswer: -41, -11, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20144233, 40288461, 60432689?\nAnswer: 80576917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65921*h**2 + 344687 wrt h?\nAnswer: -131842*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {j: 1, x: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.224 - 735.476. Let q = l + 702. Round q to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -33787*c - 6. Let i be a(8). Let j = 103710 + i. Let t = j - -91592. What is t rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 74\/(-8)) + (-5)\/20. Solve 14 = -t - 4*p, 0 = -3*t - p + 1 - y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233702669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-10)*3\/6 - (-14536)\/230.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**3 - 856*l**2 + 2516*l + 3376 = 0.\nAnswer: -1, 4, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(287\/42)\/41)\/(12\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -489, -1623, -4185, -8889, -16449, -27579, -42993?\n\"Answer: -119*v**3 - 301*v - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33170889 is divided by 2211392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 10*k**2 - 4*k - 46. Give x(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 4*q - q)*(5*q**2 - 1 - 4*q**2 + q**2) - 282*q**3 + 167*q**3 - 268*q**3.\nAnswer: -387*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -111, 399, 1129, 2091, 3297?\nAnswer: 4759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008201 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 11*t**2 - 2*t - 16. Give h(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105317\/105 - -1003. Let o = f + 113\/420. Let m = o - 0. Which is the nearest to 2\/7? (a) -5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 8. Let q be r(-9). Let b = 3 - q. Is 58 + b\/(3 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Suppose 4 + p = 2*m. Is m > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/4)\/(42\/8). Let s = 119 - 78. Let g = s + -42. Are a and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -5*q**4\/24 - q**2. Let w(s) be the second derivative of -8*s**3\/3 + 18*s - 698. Determine y(w(c)).\nAnswer: 80*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = -0*s. Suppose 5*v = -6 + 36. What is the units digit of 4\/v*15\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 4*z + 10. Let r be q(7). Suppose -r = -9*v + 84. Is v at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15.20573052 and 3.\nAnswer: 18.20573052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q - 424 = -20*q. Let l = 55 + q. Let z(g) = 3*g**2 - 22*g - 4*g**l + 22*g. Let i(s) = 9*s**2. Determine z(i(m)).\nAnswer: -81*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/3 - 739*g\/3 - 740\/3 = 0 for g.\nAnswer: -1, 740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079088.\nAnswer: 2, 3, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 - 20*w**2 - 4*w - 13. Let a be v(-4). Let h(f) be the first derivative of 7*f + 30 - a*f**2 - 1\/3*f**3. Factor h(z).\nAnswer: -(z - 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - f = 9, -4*f + 9 = -0*j + j. Suppose 0 = 6*v - 21 + j. Solve r + r - 4*u + v = 0, -r = 5*u - 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16217 - 16215. Let o(l) be the first derivative of 37*l + 20 + 0*l**4 + 0*l**d + 0*l**3 - 24\/5*l**5. What is the derivative of o(i) wrt i?\nAnswer: -96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2082.9 - 2083. Sort b, 3, 44.\nAnswer: b, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 5*n - 234605, -f + 52*n = 51*n - 58652. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 9:22 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:59 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 9191340 = -85*f + 61328417. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.70634248423 + -75962.90365725577. Let d = -75996.79 - g. Let b = d + 0.18. Round b to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 44 = -4*b, -117*b + 2*h = -116*b - 9. Sort 5, -3, b, 16.\nAnswer: -3, b, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 7 - (0 + 2)) + (42 - (-60 + 110)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, g: 4, z: 9}. Give prob of picking 1 z, 1 s, and 1 g.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/8 + 81*g**2\/2 + 432*g = 0.\nAnswer: -96, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17630, 17632, 17634, 17636, 17638?\nAnswer: 17640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 764 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 46998 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggghghghhhhr. What is prob of sequence rhg?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j**(1\/7)*j)\/j))\/(j*j**2))\/(j**(-5)*j*j**(-4)) assuming j is positive.\nAnswer: j**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1.47, -0.5, 3\/4 in descending order.\nAnswer: 3, 3\/4, -0.5, -1.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4008, 4548, 5466, 6780, 8508?\n\"Answer: 3*f**3 + 171*f**2 + 6*f + 3828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 9:19 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-38)\/(-12))*(-1141)\/(-7987)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 13) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/2 - 9*(-1)\/(-18). What is the fourth smallest value in 8, 1, 5, s?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 1801513175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/252*15*((-4)\/(-1) - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 - 2*n**5 + n**5 + (-4*n + 4*n + n)*(1 + 0 + 1)*(-3*n**4 + 4*n**4 + 2*n**4).\nAnswer: 5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o + 16. Let n be -1*(-2 + 1)*-6. Let a be y(n). Calculate the remainder when 113 is divided by a + 40\/22 - 420\/(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -598?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*b - 3*b + 93*b**2 - 97*b**2 - 16*b + 5*b**3.\nAnswer: 5*b**3 - 4*b**2 - 63*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26077195 + 0.2607. Round x to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1974, 3968, 5938, 7872, 9758, 11584?\nAnswer: 13338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w - 3*w. Let i(c) be the first derivative of c**4 - c**3 - 3*c**4 - 2 + c**w. What is the third derivative of i(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1067, -1070, -1071, -1070, -1067, -1062, -1055?\n\"Answer: u**2 - 6*u - 1062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 679\/39 not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11841006931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0658 plus -3006?\nAnswer: -3005.9342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 402.\nAnswer: 401.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + z - z)*(2 - 1 + 0) - 9 - 2827*z + 9 - 154*z - 3243*z.\nAnswer: -6226*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8*r - 20 = 0. Suppose d + 2*d = -9, -w = -d - r. Which is the closest to -1? (a) 4 (b) -4\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2574 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/13020 and 133\/90.\nAnswer: 39060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1*sqrt(17) + sqrt(17) - (sqrt(153)*-1 - sqrt(153) - sqrt(17))) + sqrt(204)\/(-3*sqrt(12)*-4))**2.\nAnswer: 170*sqrt(17)\/3 + 125129\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 41010420 (base 5) to base 4\nAnswer: 1100102130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1944 and 944616.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**8\/h*h**18*h**(-1\/2)*h\/(h\/(((h\/(h**15\/h*h)*h)\/h)\/h)) assuming h is positive.\nAnswer: h**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-149)\/(-2)*2)\/((76\/6498)\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3413 + 4?\nAnswer: -3404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 - z. Let d = 1078 - 1076. Let n(b) = 8*b**2 - 2*b + 1. What is d*n(g) - 3*f(g)?\nAnswer: -5*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1178 divide 1599886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) -11 (c) 38 (d) 44028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62, 124, 186?\n\"Answer: 62*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2871487 or -0.1?\nAnswer: 2871487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 7, 114, -8, -24 in decreasing order.\nAnswer: 114, 7, 1, 0, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*i + 5*i - 11, 0 = l + 5*i - 17. Suppose -18 = l*p - 5*p. Calculate the smallest common multiple of 2 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -31*r**2 - 180*r - 126. Is k(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/19 + 1370*j**2\/19 - 804*j + 25056\/19.\nAnswer: 2*(j - 9)*(j - 2)*(j + 696)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473404.\nAnswer: 2, 19, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 59*w - 224. Calculate the remainder when 151 is divided by o(63).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68, -1459, -5604, -13675, -26980, -46827, -74524, -111379?\n\"Answer: -218*q**3 - q**2 + 2*q + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3782198 to the power of 1\/2, to the nearest integer?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {i: 2, e: 6, g: 1, l: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p = -85*p - 144 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13236720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/6308?\nAnswer: -9\/6308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 7*r**2\/2 - 2*r - 2311. What is z(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 51*d**2 + 7*d. Let n be o(-1). What is the greatest common factor of n and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, l: 5}. What is prob of sequence zlz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -24491111?\nAnswer: 2449110c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Suppose 0 = -3*x - 3*p - 12, 2*p - 10 = 5*x + 5*p. Suppose l*c = 7 + x. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/30 + (0 - 17\/(-3)). Find the third derivative of 30*o**2 + 22*o**2 - 39*o**2 - a*o**3 wrt o.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255586, 511171, 766742, 1022293, 1277818, 1533311, 1788766, 2044177?\nAnswer: 2299538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 1. Let j(r) = -1. Let b(u) = -2*j(u) - t(u). Let x be b(4). Let g = 5 + -5.4. Put g, x, -1\/4 in ascending order.\nAnswer: x, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-114))\/(11 - (1 + 32)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/6 - 6\/4. Let g be 1 + 21 + 1 - a. Let w = g + -15. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182047*b**3*w**2 - 2*b**3*w + 10471*b*w wrt w.\nAnswer: 364094*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 42116780.\nAnswer: -1\/8423356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 m, and 1 s when three letters picked without replacement from {t: 3, m: 3, s: 7}?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 4, 31, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3836268 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 531 divide 1492167541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 7823 - 7471 = 0 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + p + 20. Let u = -2 + p. Suppose -s = -u*s + 4. Solve -s*n = -4*w - 0*w + 6, -3*n = 9 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13277.81ng in micrograms?\nAnswer: 13.27781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 minus 3033.68503502?\nAnswer: -2250.68503502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + 1 + 0) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -41. What is the remainder when 106 is divided by h?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26190, -25903, -25432, -24783, -23962, -22975?\nAnswer: -21828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9840980 and 148780?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, 70.3, 0, -2\/7, 1\/19, -0.5?\nAnswer: 70.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2. Let v(k) = 6*k**2 - 175*k - 13. Calculate v(o(x)).\nAnswer: 6*x**4 - 175*x**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l**2 - 4*l - 9. Is 45 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.742 + 4.682. Round y to the nearest integer.\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2\/(-7) - 0. Let u = 0.09 - -0.31. What is the third smallest value in g, -2\/15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8*-113)\/(-4) - 5. What is the highest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1510210 (base 7) to base 15.\nAnswer: 4077a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*j - 2*j - 5*j)*(3*j**3 - 2*j**3 - 3*j**3 + (2*j - j + 5*j)*(4*j**2 + 1 - 1)) to the form y*j**2 + g*j + x*j**4 + d + l*j**3 and give x.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -21)\/((-6)\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -3*t**2\/2 + 6. Let q(g) = -2*g**2. Give c(q(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 333 and 222?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q = 48. Suppose 0 = q*k - 10*k - 58. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 112*v - 135. What are the prime factors of u(10)?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2 - 1 - 10*a - 1. Let z(c) = -2*c**2. Calculate z(b(m)).\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.5 - 8. Which is the second smallest value? (a) 1\/4 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7574096 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 17 = -23 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/3 - 140320*x**2 - 7364236152*x + 2043232210656 = 0 for x.\nAnswer: -105378, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 6 + 12. Let v be (-2)\/(-4) + (-3)\/c. What is the nearest to v in 0.1, 2, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1308 - 6?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v + 18 + 24 + 4 + v**2. Let c be n(0). Suppose 0 = 2*y - 4, -3*h + y - 6*y + c = 0. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249610 - 2*c**2 - 83205 - 83201 - 83204 + 4*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 2106?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106671 = 85*v - 100721 for v.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 y when three letters picked without replacement from ydyy.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.45 and 27952.\nAnswer: 12578.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/3 - (3\/1 - 5). Suppose p = 4*w - 4*w + 5*w. Is w greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjbbjjjjbb. Give prob of sequence bjj.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - -0.2. Which is the biggest value? (a) o (b) 3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/2 - -3)\/(-1). What is the units digit of ((-42)\/x)\/((-2)\/110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(304) + -4 + -1*sqrt(304))**2 + -1) - (4 + -5 + (1*sqrt(76))\/sqrt(4) + -3).\nAnswer: -86 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 5645477371.42.\nAnswer: -5645477371.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 332 divided by -166\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 - -0.3. Let i = 174 - 174.09. Let o = z - i. Which is the biggest value? (a) -0.4 (b) 6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 4604\/1137?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 27446484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174651*y**2 - 3362*y + 19.\nAnswer: 349302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**5\/140 - a**4\/28 + 3*a**3\/14 - 54*a**2. Solve z(o) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154\/45 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170729362 to the power of 1\/2, to the nearest integer?\nAnswer: 13066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -l + 10. Suppose -7*t = -l*t, 0 = i - t - 8. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 78*v - 2 - 6 - 81*v + 2*v**2. Calculate i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26030029 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/20 - t**4\/12 + t**3\/6 + t**2 + 303*t. Determine s(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*5\/(-2))\/((-2)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/14 - (0 - -206). Let d = x + 234. Calculate the remainder when 77 is divided by d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 722783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14136 is divided by 1869.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - -44. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14664 is divided by 1764?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22986 and 18594?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 s when three letters picked without replacement from {w: 3, s: 1, v: 2, c: 1, p: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 771395059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2))**(10\/13)\/((j**(-3)\/j*j)\/(j\/((j\/(j**5\/j*j))\/j*j*j))) assuming j is positive.\nAnswer: j**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*x + 10, -4*x + 13 - 43 = -3*d. What is the greatest common factor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226 times -0.5?\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waw. What is prob of sequence aw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3354689 + 129*k - 2794*k + 3354691 as t + q*k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 2, -0.4, -65?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123 is divided by 86.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 27 - (18 - -1) - -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -8 - 1. Is s smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/199 - -434\/1791. Let t = 3.85 + 0.15. What is the third biggest value in -4, t, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/17)*g)\/g)**(1\/42)*(g\/g**(1\/9))\/(g*g**(-2\/3)*g*g*g) assuming g is positive.\nAnswer: g**(-5191\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 16, 3, -32, -95, -192, -329, -512?\n\"Answer: -u**3 - 2*u**2 + 16*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126840 and 315?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - -4 - (0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 1 - ((-2 - -14) + -6 - 7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 30075979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 25 = -5*m, 2*s = -4*m + 5 - 97. Let q be -3*(-1 + (-25)\/(-3)). Let d = q - s. What is the lowest common multiple of 4 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 111 - 73 + 96)*(2 - 2 + b**2).\nAnswer: 3*b**3 - 88*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 3) + 7 + (6 - 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 - 21*o**3 + 9*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -657, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -4164?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/6 - 896175*x**2\/2 + 1792351*x\/2 - 2688527\/6 = 0.\nAnswer: -2688527, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*n = -2. Let q(c) = -1 + 0*c - 6*c - 2 + c**n. Let d be 3*1\/3*5. Give q(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + o - 44 = -121, 2*o - 142 = 4*l. Let q = 39 + l. Let n be -2*6\/(-8)*q. Solve n = 2*p - 3*v, -4*p = -0*p - 2*v - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6711097 years in decades?\nAnswer: 0.06711097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -24*b**3 - 1. Give o(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3710, -14864, -33460, -59504, -93002?\n\"Answer: -z**3 - 3715*z**2 - 2*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8, 4*i + 2 = 2*x - 12. Suppose 0 = -0*y - y + 14. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-7) + 8 + (-417365)\/(-91)?\nAnswer: 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -14*q + 1627. Give o(-7).\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -15*t - 110. Let r(g) = -g - 8. Suppose -34*l = 62 + 1808. Let v(c) = l*r(c) + 4*j(c). Let b(m) = 13*m. Give v(b(q)).\nAnswer: -65*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.77 + 1020.23. What is the third biggest value in i, -5, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1.7, -4, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:58 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1721466.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -76691.6892 take away 0.5?\nAnswer: -76692.1892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 - 147. Determine y so that -4\/3 + 14\/3*y - 6*y**2 - 2\/3*y**t + 10\/3*y**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 e when four letters picked without replacement from fexfecfeexee?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*h + j, 4*j - 2*j - 176 = -5*h. Calculate the greatest common factor of 234 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 4:11 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p + p - 6*p + (-p + p + 2*p)*(1 - 3 + 1) - 5*p + 2*p + p + (11*p - 2*p - p)*(0 + 0 + 2).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46447918?\nAnswer: 2, 11, 499, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 951856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19475220 + -129085220. What is d rounded to the nearest one million?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -5026, -16774, -39658, -77392?\nAnswer: -133690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 5. Let z be a(0). Let j be (-52)\/z + 4\/10. What is the units digit of 6\/15*(0 - j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337923?\nAnswer: 3, 37547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 354.7 + -355. Which is the closest to 0.58? (a) -4 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21.08 (b) -5 (c) 2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -256 or -258?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14253 + 5?\nAnswer: -14247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/15))\/f)**(-48)*f\/f**0*f\/f**(-16))**(-39) assuming f is positive.\nAnswer: f**(-4758\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103, 241, 413, 619, 859?\n\"Answer: 17*u**2 + 87*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1240\/1820)\/(-31)*-42?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, v: 7, w: 4, z: 3, m: 3}. What is prob of picking 2 l?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 6 + 2 = 0. Is -3\/28 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 114651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from icig.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/5 of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 - 17955747 - l**3 - 3*l - 644253 + l + 4*l. Let a be q(0). Round a to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1911)\/(-2184) - (-81)\/72\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 33, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(19))**2 + sqrt(19) + -4.\nAnswer: sqrt(19) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 9:31 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 1. Let u be z(-1). Suppose -u*n + 69 = -81. Suppose -5*m = -175 - n. What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 993\nAnswer: 4965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = j - 0*j. Suppose -2*w - 7 - 1 = -4*t, -j*t + 22 = 5*w. Solve -4 = 2*r + w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 111358094 by 3578.\nAnswer: 31123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -146, -228, -326, -446, -594?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1313203 (base 4) to base 10\nAnswer: -7651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/120 - y**5\/5 - 2*y**4 - 32*y**3\/3 + 3*y**2. Let i(b) = 0. What is b?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -163 + 160. Is g less than or equal to -1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(20\/15) + 0. Let m be (-25)\/(-15) - y\/(-9). What is the highest common factor of 8 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 7. Suppose 6 = -3*j - 4*p, 4*p = 4*j - g - 12. Put 3, 1, j in ascending order.\nAnswer: 1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(-21)*(-1638)\/(-2340)\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(((-7942)\/570)\/19)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 13 - 1\/3*d**3 + 2*d**2 - 4*d. Give v(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a century?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eljelj. What is prob of picking 1 e and 2 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uui when three letters picked without replacement from {i: 1, u: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4221781571.\nAnswer: 7, 603111653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 444.06 - 448. Let g = 11 - 10.66. Let x = t + g. What is x rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 2 (c) 5 (d) -939 (e) -4.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 630*t**5\/19 + 8734*t**4\/19 + 6978*t**3\/19 - 1230*t**2\/19 - 104*t\/19 = 0.\nAnswer: -13, -1, -4\/63, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(45)\/(sqrt(3)*-1))\/(-1*sqrt(243) + sqrt(3)) + -5)**2 + -3.\nAnswer: -sqrt(5)\/2 + 69\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13320 or -2\/7303?\nAnswer: -2\/7303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 2*j**2 - 5*j**2 - 191*j**3 + 215*j**3.\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kttkktktktkt. Give prob of sequence tttt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 7*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*j + 42*j**3 + 6*j + 15*j.\nAnswer: 42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 37\/2 of a hour?\nAnswer: 66600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55339, -61181, -70917, -84547, -102071, -123489?\nAnswer: -148801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.158 greater than -740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/7)\/((-96)\/1008). Suppose -h*w - 25 = -23*w. Let j = -605\/7 + 86. Put j, w, -0.5, 3 in increasing order.\nAnswer: -0.5, j, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121434411 + 4?\nAnswer: 121434420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 179452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(133)\/sqrt(28).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3491 (b) 0.2 (c) 4 (d) -4\/19 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1276110 and 765666.\nAnswer: 3828330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*n**4 + 19*i*n + 529*i - 2*n**4 - 3*n - 2 wrt n.\nAnswer: -4*i*n**3 + 19*i - 8*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1822 divided by 1.\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-20) - (-36)\/45)*-28\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37558 - -37558. Solve 3*g - 3*u - 21 = f, -4*g + 47*u = 52*u - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-3))\/((-2)\/6). Let r = -5258 + 26292\/5. What is the closest to -0.2 in v, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 694.5149ng?\nAnswer: 0.0006945149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.05 - 32. Let g = 0.05 - f. Which is the nearest to 2\/5? (a) 4 (b) g (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6508829.\nAnswer: 571, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, w: 3}. Give prob of sequence ywww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 62 = -56. Solve a = 2*d - 3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6514.818 grams in micrograms?\nAnswer: 6514818000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/4? (a) 0.14 (b) -0.27 (c) -69 (d) 1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:35 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (sqrt(2880)*-1 - sqrt(45))) + sqrt(45) + sqrt(45) + sqrt(45))\/(sqrt(108)\/(sqrt(36)\/sqrt(3))) - -6*(-4 + 1 + sqrt(320)).\nAnswer: -18 + 61*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 2*j**5 - 6*j**5 + (16*j**2 + 11*j**2 - j**2)*(0*j**3 - j**3 - 2*j**3).\nAnswer: -80*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21131, 21160, 21137, 21056, 20911, 20696, 20405?\nAnswer: 20032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2aa8bc (base 13) to base 7\nAnswer: -11640050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55130557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.376825 millimeters to kilometers.\nAnswer: 0.000003376825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:16 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/357257?\nAnswer: -2\/357257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4\/8 + 3*i**3\/4 + 15*i**2\/8 - 9*i\/4 = 0. What is i?\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -39 + 47 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3468 + -82.962.\nAnswer: -3550.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 37*j. Let o(w) = -4*w. Determine p(o(g)).\nAnswer: -148*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*j = -9. Suppose -2*u + 2*k = 4*k + 2, -j*k - 11 = -u. Let i(f) = -73 + u*f + 73. Let y(v) = -5*v. What is i(y(c))?\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5 + 38*a**4 + 68*a**3 = 0. Calculate a.\nAnswer: -17, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/6*40572\/(-219765)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1698 divide 67660206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353, -387, -409, -413, -393?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83026 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3704308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -13. Calculate the remainder when 32 is divided by q\/(4\/68) + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65854174.\nAnswer: 2, 32927087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 30, 43, 58?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert dada9 (base 14) to base 11.\nAnswer: 331945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 - 14*a**2. Let b(x) be the second derivative of -x**5\/20 + x**4\/4 + 32*x. What is -28*b(z) - 6*p(z)?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 10*j**2 + 4*j - 9. Let o be (0 + -2)\/(-8) - (-42)\/(-8). Does 16 divide h(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 4*d - 2. Let i be o(-5). Let l(f) = -f**2 + 5*f + 5. Let j be l(5). Put i, j, -1 in descending order.\nAnswer: j, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(252) + sqrt(252))**2 + 1 - (3 + -3*sqrt(252) - sqrt(252))**2) + (2*-4*-1*(0 + sqrt(847)))**2.\nAnswer: 168*sqrt(7) + 51177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**5 - 1 + 1)*(-3 + 2 + 3) - j**5 + 2*j**5 + 0*j**5 - 7*j**5 - 9*j**5 + 22*j**5 + (2*j**4 + 0*j**4 + 0*j**4)*(2*j - j - 2*j).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*d - 74*d - 70*d - 71*d - 7*d - 69*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * 0.22.\nAnswer: -8.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*v + 65*v - 27*v to the form g + a*v and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 20. Let v = 0.0996537 - -8.8997663. Let w = v + f. Round w to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1225500 and 8550.\nAnswer: 3676500","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/10 - 78\/(-15). Suppose 2*w = 5*a + 5, b*w + 3*a - 56 = a. Suppose w = 3*q - q - 3*l, 12 = q + 2*l. What is q rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2544 is divided by 652?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y - 212786. Let w(a) = -2*a. Calculate w(x(m)).\nAnswer: 14*m + 425572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1884?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/99 - 34\/11. Let i = -89830 - -8892581\/99. Let j = k - i. Find the common denominator of 63\/2 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212010 + 100100210?\nAnswer: 10111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.1207.\nAnswer: -0.3621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15102 and 90.\nAnswer: 75510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12163421.\nAnswer: 1237, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -z**3\/2 - 5*z**2\/2 + 7*z. Is q(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*c + 4, 3*t - 12 = c - 0*t. Suppose -2*k + 23 = 3*j, -4*j = c*k - 4*k - 16. What is the smallest common multiple of k and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2.1. Let s = 3 + -3. Let o = 3.82 - 0.82. Which is the closest to w? (a) -2 (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61156960 is divided by 9209.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -55 + 68 + 25 - 5*m. Let p be y(4). Let b be 1*(2 - (-19 - -3)). Calculate the highest common divisor of p and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40d (base 14) to base 5\nAnswer: 11142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 0.1 (b) 1\/5 (c) 2\/21 (d) -6.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 9*t**2 - 10*t. Let x be n(-8). Suppose -x = 4*y + p, y = -0*y + p - 9. Let j = y + 17. What is the remainder when 47 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**4\/4 + q**3\/3 + q**2 + q + 820. Let a(f) = -5*f - f**3 - 1 + 5*f**2 + 6*f + 5*f. Let o be a(6). Determine l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfzspx. Give prob of sequence zx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177716153 and 692.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 783, 1.8, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44350\/40 - (-8)\/(-160)*-5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18798389 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 15*n + 2. Let c(k) = -4 - 7*k + 14*k - 2*k**2 + 3. Let z(b) = -9*c(b) - 4*q(b). Calculate z(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137932162 divided by -5?\nAnswer: -137932162\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118896, -118895, -118894, -118893?\nAnswer: -118892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 29*a**3 + 2 + 22911*a**2 - 7 - 22916*a**2. Let y(n) = 14*n**3 - 3*n**2 + 3*n - 3. What is 3*l(x) - 5*y(x)?\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12338679 is divided by 48963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4212\/(-729))\/(280\/(-45) - -6).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 1 = 7. Suppose -d + 54 = v*d. Suppose b + d = 2*b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 439\/8 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56\/(-10))\/(2\/(-5)). Suppose -1499 = -8*n + 2309. Let r = -364 + n. Calculate the greatest common factor of o and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*h + 69*h**2 + 242*h.\nAnswer: 69*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d = 6*d + 42*d + 1200 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = d + 5*m, 2*d - 6*d = 2*m + 6. Let c(l) = 7*l**2 - l - 1. What is the units digit of c(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/1102 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202*16\/(384\/1068)?\nAnswer: 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 3. Let s(d) = d**2 - 1. Let j(f) = -4*f**2 + 2*f + 7. Let o(g) = -j(g) - 5*s(g). Let p = 7 - 5. What is p*q(v) + 3*o(v)?\nAnswer: -3*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 18. Let j = o - 16.4. Let h = 0.8 - j. Which is the nearest to 0.1? (a) -0.5 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppcffpcpccycccl. Give prob of picking 2 c, 1 p, and 1 l.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = 5*v - 13, 2*f + 5*v = 31. Let r(q) = -10*q**2 + 2*q - 4. Let k be r(f). Let p = -614\/7 - k. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -133437702?\nAnswer: -133437706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 4.13\nAnswer: 1.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432.21 millennia in months?\nAnswer: 65186520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-100)\/20 + (0 - -1). Which is the second biggest value? (a) -2\/11 (b) 1\/4 (c) o (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (31 - 9) + (-1 - (-6)\/2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssbkbbs. Give prob of sequence sb.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 3*d**2 + 1. Let m be z(-2). Suppose 3*g = 5*g + 20. Let i be 20\/(-6)*18\/g. Solve m*p = -2*b, p = i*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 3*o**2 - o - 17. Is y(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/27 (b) 966 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 280*g - 308*g - 140 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6844 + 18127. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:12 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 + 358*p**5 + 402*p**5 + 9*p - 131*p**5 + 0*p wrt p?\nAnswer: 12580*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 4*a + a)*(-3*a**2 + a**2 + 4*a**2) + (3*a + a - 3*a)*(a - 2*a**2 - a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 26. Let s be x(-5). Let w be (88\/18 + s - 4)*2. Is -0.1 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/5 + 41*m**4 - 166*m**3 + 250*m**2 - 192*m + 1. Factor g(w).\nAnswer: 4*(w - 1)**2*(w + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - 8685\/(-270)) + 18?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/556 and 13\/8816?\nAnswer: 1225424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/19))**(-44)*m**10\/((m*m*m**8)\/m) assuming m is positive.\nAnswer: m**(63\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -254 - -2?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m**3 + 5*m**2 - 18*m. Let n(w) = -7*w**3 + 3*w**2 - 9*w. Let o(d) = 5*n(d) - 3*y(d). What is the second derivative of o(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*i - 5*v - 17615 = 54*i, i = 2*v + 3520. List the prime factors of i.\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -757 minus 2?\nAnswer: -759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 - 165*i**3 - 1704*i**2 - 1536*i.\nAnswer: 3*i*(i - 64)*(i + 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 78 - 846 = -4*g, 733 = 3*g - 5*f. Calculate the remainder when g is divided by 75.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 + 0 + 0)*(-5 + 5 - 3*o) + (-3*o**3 + 0*o**3 + 2*o**3)*(9 - 19 - 28) as w*o + d*o**2 + x*o**3 + a and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26133240, -26133242, -26133246, -26133252, -26133260, -26133270?\n\"Answer: -k**2 + k - 26133240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t\/(t**0\/t)))))**(-15)*(t**(-6)\/t)\/((t\/t**5)\/t*t*t) assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/35)*w*w**(1\/2)*w)**(-9) assuming w is positive.\nAnswer: w**(-1611\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 62?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24 (b) -12 (c) 3\/4 (d) -0.034 (e) -27 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1938202.\nAnswer: 2, 7, 167, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(5) + sqrt(5) + sqrt(5)*1 + sqrt(5)) - 2*(sqrt(5) - sqrt(80)))*-5)**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 299009 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-323)\/60 + (-20)\/(-150) + 4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y - 5*m, -4*y + 0*m = -2*m - 54. Calculate the remainder when 42 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 251144 and 288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 6*g - 4. Let v(x) = -2*x**2 - 6*x - 1. What is 3*b(k) + 2*v(k)?\nAnswer: -k**2 + 6*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*m + 26*m + 148 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 divided by -4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 times 5434?\nAnswer: 1793.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26 and -4.11.\nAnswer: -30.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -204*a + 1662. Let v be r(7). Calculate the greatest common factor of 338 and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164*l - 164*l - 87*l**2 + (2 + l**2 - 2)*(3 - 3 - 1) - l**2 + 3*l**2 - 4*l**2 + 13*l**2 - 4*l**2 + 3*l**2.\nAnswer: -78*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 15\/(-27)*-3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*p**3 - 3792*p + 2*p**2 + 7574*p - 3801*p + p**4 + 2 to the form n*p**2 + m*p**3 + d*p**4 + q*p + b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 83 + 29 = 3*v - 8*b, -3*v + 116*b + 352 = 0 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.319\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((5 - 1) + -2 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -60. Let n = w + -27. Solve 4*d = -5*q + 13, 4*d + 3*q + q - 8 = n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28944, -57873, -86798, -115719?\nAnswer: -144636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 18 = i, 27 = -h + 2*h + 2*i. Let t = 7 + h. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(5\/(-315)). Solve -2*t = -3*o - 2*o + y, -o = -t - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5 + 74*b**4 - 984*b**3 + 3424*b**2 - 1664*b - 6144 = 0 for b.\nAnswer: -48, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*i - 16*i. Put -3, -1, i, -4 in decreasing order.\nAnswer: i, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 10, 2*j + 8*h = 10*h + 2. Suppose 0 = -0*m + j*m + 78. Let y = m - -12. Is y > -3\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -60. Suppose 0 = 2*b - 7*b + 5. Put 2, b, n in increasing order.\nAnswer: n, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5624921622*w + w**3 - 5624921622*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35842319\/72 + 497818. Let d = -7\/8 - z. Which is greater: -9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Suppose w - 4*a = 26, 3*a = -0*w + k*w - 45. Let h = 16 + -1. Calculate the greatest common factor of h and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i + 4*i = 13*i - 420 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from {v: 2, b: 4, m: 5, f: 2}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754959916.\nAnswer: 2, 631, 695309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 828*j + 4 - 828*j.\nAnswer: 9*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1384283978*p**4 + 1749*p**2 + 253509 wrt p?\nAnswer: -33222815472*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 0*v + v + (-3*v + 4*v - 9*v)*(-2 + 0 + 4)*(-2 + 3 + 1).\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/2757 - 250967\/44112. Let z = -75702 - -397435501\/5250. Let p = z - 259879\/21000. Calculate the common denominator of p and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 + 336. Which is the fourth biggest value? (a) 1\/7 (b) 3\/4 (c) w (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 258568*j\/3.\nAnswer: 2*j*(j - 129284)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 5\/6 (b) 6\/37 (c) 2.7 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -246306640 to the nearest one million.\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*((-12)\/(-9) - 1). Let m = o - -3. Suppose 36 = m*w + 4*q, -2*q = 2*q - 20. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*q + 5*s + 25768, q + 2*s = 12893. Suppose q + 6023 = 3*z. Suppose -6*j - z = -146704. Round j to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-29)*p*p\/(p*p**0*p)*p)\/((p\/(p\/(p*p*p\/(p\/(p\/(p\/(p\/(p\/p**(-2\/125))))*p)*p))))\/p*p**(-17)) assuming p is positive.\nAnswer: p**(5877\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(-38))\/((-1)\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51060)\/2590)\/(30\/(-175))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6960617.\nAnswer: 101, 68917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36\/5 (b) -0.08 (c) 10 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 159\/(-2)*(-1 + (-2)\/(-6)). Let q = v + -49. Suppose -q*h = -6*h + 198. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from yhxsmmylx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a + 8. Let w be (-105)\/132*-4 + (-2)\/11. Solve -a*p = -4*g, -w*g - 6*p + 4*p = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -1)*(-2)\/(-2). Let d(w) = w**3 - 4*w**2 + w. Let z be d(y). What is o in -4*o**3 - 3 + 2*o - 1 + 2*o**3 + z*o**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - -4a62a68?\nAnswer: 4a62a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5 - 0, c - 2*z - 54 = 0. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1465.5395207 + 0.2225207. Let k = u - -1466. What is k rounded to two decimal places?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {r: 17, d: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7674 divided by 5.\nAnswer: -7674\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4 + 0*a**4 + 0*a**4 + 3*a**3 + 14*a**5 - 3*a**2 - 17*a**5 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4229\/5, -2, 0.1, -1\/372?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97072 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w - 5. Suppose -6 = -0*l + 2*l. Let h = -4 - l. Let b be h\/(-3 + 48\/15). Determine o(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/5 + (2 - 619659\/5). Round i to the nearest one thousand.\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1330675 is divided by 2251?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232044 (base 6) to base 11.\nAnswer: 13a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58362023 to the nearest integer?\nAnswer: 7640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**8\/2240 - l**6\/240 + l**4\/12 + l**2. Let v(g) be the second derivative of x(g). Find the second derivative of v(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8512.306 millimeters?\nAnswer: 8512306000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*r + 3)*(2*r**3 - 9*r**3 - 3*r**3).\nAnswer: -40*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1836*c - 113834. What is g(-62)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2. Let l(d) = d**2 - 34715*d - 48. Calculate l(j(f)).\nAnswer: 9*f**4 + 104145*f**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.126, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141 - 96. Let u = -442.06 - -398. Let b = u + y. Round b to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-4)*2)\/(-1)*-4. Let f be (((-165)\/50)\/11)\/(z\/5). What is the nearest to 0.2 in -7, -2\/11, f?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0 = -10. Suppose 3*q - 16 = -7. Suppose -3*c = -12, 0 = -5*p + q*c + 48 + 15. Solve -p = -0*d + o*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + (sqrt(196)*1 + sqrt(196))\/sqrt(4))\/(sqrt(175)*-2).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/9 + ((-112)\/72)\/(-7). Suppose -5*r + 5*i + 300 = 0, 0 = -r - j*i + 5*i + 60. Calculate the smallest common multiple of r and 33.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 6571\nAnswer: -3\/6571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/152, -1, 2, 3, -19\/904?\nAnswer: -3\/152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 353 - 31011255?\nAnswer: -31010502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 26. Put -5, -4, s in ascending order.\nAnswer: -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + j + 4 = -0*t, -t + j = -3. Let d = -45 + 50. Suppose -2*m - 7*y + 3*y + 12 = 0, d*y + 5 = 0. Calculate the greatest common factor of m and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27875032579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14230 + -2022004?\nAnswer: -2041234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -t - 4*g, -3*t - 2*g = -4. Let a(w) = -w**3 - 8*w**2 - 6*w + 8. Calculate the lowest common multiple of a(-7) and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 133, -439, -1153, -2009, -3007, -4147, -5429?\n\"Answer: -71*o**2 - 359*o + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14238 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.8 + 4. What is g rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5638613969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*i + 231 = -228 + 469, -6 = 4*d - 2*i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65\/140422 + -14807218081\/2106330. Let i = 7027 + g. What is the common denominator of i and 31\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45318 = 22*v + 56*v. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (18\/(-36))\/((-2)\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 6*s - 2*s + s + 3*s + 38 in the form l*s + z and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 19*p**2 + 19*p**2 + 7 + 2.\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 287968, 575945, 863922, 1151899, 1439876, 1727853?\n\"Answer: 287977*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -86524\/15079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/((o\/(o\/(o*o\/(o**(9\/5)*o)))*o)\/o))*o)\/(o**(2\/9)\/o)*o**(-3)*o\/(o*o**(-3)) assuming o is positive.\nAnswer: o**(44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 10*q + 60. Suppose 3*s = -4*c + 18, -2*c + 6*c + 4*s = q. Suppose 3*v = 9 - 3. Solve 0 = -2*y + c*g + 1, -v*y - 5*g + 32 - 7 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**4\/12 + 16*i**3\/9 - 59*i**2\/6 + 44*i\/3 + 630. Determine p so that y(p) = 0.\nAnswer: 1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 10 + 44*b**3 + 11.\nAnswer: 44*b**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 266*s**2. Let x(k) = 504*k. Calculate h(x(g)).\nAnswer: 67568256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*v = -236*v + 108. Solve 3*c + 24 = v*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 1385452*i\/9 + 1385450\/9.\nAnswer: 2*(i - 692725)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y + 1. Let k(h) = 25*h + 11. Let j(i) = k(i) - 6*n(i). Let c(d) = -2 + 1 + 0. Give 5*c(r) + j(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 + 5*l - 8. Let u(v) = 24*v**2 + 0*v + 5 - 8*v - 28*v**2 - 13*v**2 + 7. Determine -8*q(j) - 5*u(j).\nAnswer: -3*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20830178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 964 + 3*s + 3*s + 114 - 859.\nAnswer: 2*s - 1709","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -338 + 332. Let c be 4\/(56\/x)*-7. Solve -c*v + 2*k = -4, 6*v - 3*v + 3*k + 21 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -7 (b) 9\/7 (c) 0.5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1218 + 1222. Solve 3\/4*n**3 + 0*n - 3\/4*n**5 + 3\/4*n**u + 0 - 3\/4*n**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 157*w - 298. Let m be j(2). What is the highest common divisor of 688 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62597 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 527299.1021 to the nearest ten thousand.\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*s = 4*l + 63, -2*l - 42 = 3*s. What is the remainder when (-18)\/36 + l\/(-2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -29*i + 1512. Does 28 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 416*m + 418*m - 236 = 0, -3*m = w - 74. Let l(n) = 35*n - 3. Let q(c) = -665*c + 56. Determine w*l(o) + 3*q(o).\nAnswer: -35*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 3 + -2 - (sqrt(720) + 3)*-3.\nAnswer: 10 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {d: 1, h: 1, c: 5, g: 5}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 11:22 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3. Let y(k) = -4*k**3 + 10*k**2 - 4*k. Let i(u) = 2*o(u) + y(u). Factor i(z).\nAnswer: -2*z*(z - 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nkkknknnkknk.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -55, -95, -201, -403?\n\"Answer: -5*s**3 + 12*s**2 - 5*s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.12*0.021.\nAnswer: 0.12852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -16 (b) -41 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnh when three letters picked without replacement from {f: 2, r: 1, t: 2, h: 2, v: 2, n: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 0. Let z = -0.15 - -0.05. Sort g, z, 5.\nAnswer: z, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 - 2*h**2 + h - 1. What are the prime factors of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 3*k + 4. Let r(s) = s**3 - 2*s + 3. Determine -2*p(q) + 3*r(q).\nAnswer: -q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.250124 milligrams in micrograms?\nAnswer: 9250.124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-93)*717\/478)\/((9\/4)\/(-3))?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -217*h. Let o(q) = -447*q**2. Determine o(x(c)).\nAnswer: -21048783*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 4, -9 in descending order.\nAnswer: 36, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.015876721\nAnswer: 0.031753442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 10:05 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9125, -11915, -14707, -17501, -20297, -23095?\nAnswer: -25895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e + -4?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320499806 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrrrrbbhbbrrbbkbkbk. Give prob of sequence bk.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2441*u**2 + 1 - 1 + 2930*u**2 to w + i*u**2 + m*u and give i.\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 23, 52, 113, 218?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-2 - 98\/35). Sort -3\/275, -4, s in ascending order.\nAnswer: -4, -3\/275, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -200*a - 47. Let o(b) = 200*b + 55. Determine 6*o(z) + 7*y(z).\nAnswer: -200*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -229 and -367.\nAnswer: 84043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f + 234. Calculate d(-2).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -17, -14, -9, -2, 7, 18?\n\"Answer: w**2 - 2*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j - 3. Calculate n(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*d = 3*o - 15, -20 = 3*o + 4*d. Suppose -5*f + 18 - 49 = -2*c, c + f + 2 = o. Suppose c*h - 2 = 16. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 22. Let w = 18 - i. Suppose -3*g + 12 = -0*g + 3*x, 2*g + 4 = 4*x. Sort g, w, -2.\nAnswer: w, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-876)\/30)\/((-5)\/150)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - m**2 - m. Let d(b) = 246*b**3 + 247*b**3 - 737*b**3 + 245*b**3. Let l be (3 - 50\/15)*3. Determine l*z(a) - 4*d(a).\nAnswer: -2*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 30 = -40. Let s be 57\/44 - (-2)\/(3 - q). Is 3 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*n = 5*n - 150800. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32524.03 litres to millilitres.\nAnswer: 32524030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdpz when four letters picked without replacement from {q: 1, k: 2, c: 2, p: 1, z: 1, d: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 73. What is t(6)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156*(44\/(-12) + 4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -1.5 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*g + 16, -3*s + 19 + 5 = -g. Solve s*t - 3*t = 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/78*(-1118)\/516.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(13) - (1 + sqrt(13))))**2 - (-1 + sqrt(13) + 4).\nAnswer: -sqrt(13) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4*l - 20, 32*d + l + 2 = 30*d. Suppose -143 = 16*m + d. Sort 1, 2, m in ascending order.\nAnswer: m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21053 + 21052.9953658. Round j to four decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12950717, -25901459, -38852201, -51802943, -64753685?\nAnswer: -77704427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 656 divided by 260339.\nAnswer: 656\/260339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -h + 432, -3*x - 16*h + 18*h = -648. Calculate the lowest common multiple of 56 and x.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000091178 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 6*c + 3. Suppose -b = 2*b - 4*n + 26, 6 = -2*b - 3*n. Let j be m(b). Solve -j*a + 6 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1907, 7473, 16747, 29729?\nAnswer: 46419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193513, 387143, 580773, 774403, 968033, 1161663?\nAnswer: 1355293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21044 (base 5) to base 8\nAnswer: -2567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 14) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 20938.87511154?\nAnswer: 20939.07511154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 40\/869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2695 is divided by 58?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 9*k - 4. Let t be v(-5). Suppose 5*l = -5, -l - t = -d - 2*d. Calculate the remainder when d is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (5 - -2)\/1. Suppose -5 = -n*z + 7. Suppose z*o = 1 + 53. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*a - 7 + 3 = 0, -4*u = -4*a - 8. Find the second derivative of 4*v**4 - 3*v + v**u - 3*v**4 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h + z + 9, 0 = -5*h + z + 45. Let o = h - 20. Let k = -7 - o. What is the lowest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (12 + -4)) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5455211.\nAnswer: 331, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(20\/4))\/((-1)\/6). Suppose -20 + 5 = -3*y. Put r, -2, y in descending order.\nAnswer: y, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -11*u**8\/336 - 37*u**5\/60 + u**4\/8 - 29*u**3\/3 - 3418*u**2. Find the second derivative of a(y) wrt y.\nAnswer: -220*y**3 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -261a1a40 - -5?\nAnswer: -261a1a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(16)\/sqrt(4) + sqrt(4)) + 4.\nAnswer: sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.01, -0.01, 0.5, 5\/2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.009 and -1.818944 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-11 - -15) + -19).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**2 + 39 - 17 - 90 + 2*r**2. Let v(a) = -2*a**2. Determine v(w(f)).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 4672?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 4*h + 4. Let a(k) = -3*k**2 + 11*k + 11. Let b(s) = -4*a(s) + 11*m(s). Let z(x) = 5*x. Give z(b(n)).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 6*z + 3. Let v be o(5). Let r = -6 - v. Suppose 2 + 2 = 4*c. Sort r, 0, c.\nAnswer: r, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 + 4*t**2 - t - 2. Let j be n(2). Suppose -5*s - 3*h + 0*h = -22, 2 = -2*h. Which is the biggest value? (a) -3 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(33)\/sqrt(3) + sqrt(11))**2 - sqrt(22)\/sqrt(2)*-6).\nAnswer: -264 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**2\/2 - 11. Let x(j) = -9*j. What is p(x(q))?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 10*s**2 + 25*s - 1. Let c be a(-4). Let h = -1.084 - -0.084. Sort h, c, 3\/11, 2 in increasing order.\nAnswer: c, h, 3\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d. Let z(f) = 3*f. Let i(o) = -o**3 - 6*o**2 - o - 6. Let k be i(-6). Suppose k = -2*a + 10. Calculate a*z(t) - 6*x(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -864*c - 437*c**5 + 1175*c**5 - 612*c**5 wrt c?\nAnswer: 2520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 = n, 3*n - c - 4*c + 13 = 0. Solve -2*g = -5*m - 4, -3*g + n = 2*m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*d + 15392 = 2*v, -d - 4 = 0. Round v to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.958 - -0.042. Let v = 21.7 - n. Let y be (-2)\/(-2) - (-2)\/3. Sort v, 0.3, y.\nAnswer: v, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 - 1681612*h**3*r - 2*h**2*r - 6*h**2 - 494*h*r + 17 wrt h?\nAnswer: 48*h - 10089672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n + 30*n = 0. Let u(k) = k**3 - 4*k**2 + 4*k - 1. Let m be u(3). Suppose -h = m, 3*t + 6*h - 11*h - 37 = n. Solve 5*f + 4 - t = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 326\/10 + (-6)\/10. Let f be 0 + (-1)\/(4\/p). Let g be 7\/1*-1 + 2. Is f at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v. Let i be f(-2). Let u = i + 3. Suppose -38 - 22 = -u*m. Calculate the remainder when 22 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6697, 13402, 20109, 26818, 33529, 40242, 46957?\nAnswer: 53674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from dggdgsdcdgodoosdd?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -63?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17811, 41807, 65803, 89799, 113795, 137791?\n\"Answer: 23996*n - 6185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/14)\/(456\/(-798)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 5) + -1 - (2 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 29. Let q = w - 41. Solve 6*r - o = r - 15, -3*o - 15 = q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6108381680 + 0?\nAnswer: -6108381680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-12))\/(-7)*-1*3\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 2 + (sqrt(190)\/(sqrt(60)\/sqrt(6)))**2.\nAnswer: 21 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1100721*y - 3302157. Calculate i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 + -44.7. Let f(s) = s**3 - 4*s**2 - 7*s + 7. Let o be f(5). Which is the second biggest value? (a) o (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c**2 + 74*c + 30. What is l(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 876283*h - 3 + 876294*h + 0 + h**2 + 3*h**2.\nAnswer: 4*h**2 + 11*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -8. Let j(q) = -q + 40. Let z(f) = -11*b(f) - 2*j(f). Suppose -4*o - o - 3 = -2*p, -o = 3. Determine z(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 0*d**2 + 0*d**2 + 2*d**2 + d + 10 - d**2. What is the remainder when 4\/5 + 364\/20 is divided by k(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -403, 9\/4, 2 in decreasing order.\nAnswer: 9\/4, 2, 0.3, -0.5, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*p**2 - 218*p**2 + 101*p**2 - 3*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18c - 1?\nAnswer: 18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 16. Suppose 0*p - 10 = m*p, 2*s = -3*p + 14. Is (-84)\/s*30\/(-9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 9:50 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*s - 221, -5*k + 3*s + 0*s = -209. Let b(a) = -a**3 - 3*a**2 + 2*a - 3. Let d be b(-4). Suppose -d*q - k = -163. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 37 = -2*u + k, 90*k + 31 = -4*u + 87*k for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z*z*z**(-1\/2))\/z))**(-45)\/(z\/z**(2\/3)*z)**(-3\/11) assuming z is positive.\nAnswer: z**(503\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31158 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -34. Suppose -f = 2*f + r. Let o be ((-24)\/(-42))\/((-2)\/f). Solve 3*v + 7 - 1 = 3*w, -o*v - 4 = w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 289713845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 340*a + 274*a - 467*a as t + k*a and give k.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31+83\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 16) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyhy when four letters picked without replacement from lylyhhhyyylll?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 418, 420, 424, 430, 438, 448, 460?\n\"Answer: r**2 - r + 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.2 (b) 19 (c) -184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l + 2. Let b be 4\/(-18) + (-4)\/(-18). Suppose -7*n + 2*n = b. Give y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2, -7, -72.6, -5, 0.21?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffwpnpf. Give prob of picking 2 f and 1 n.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmb when three letters picked without replacement from {h: 2, m: 3, b: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, -51, -5, 4\/7 in increasing order.\nAnswer: -51, -5, -4, -0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 0 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9}. Give prob of sequence kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 25*q**3 + 4*q**2 + 39*q - 151. What is the thousands digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.7. Let l = -0.1 - -1.1. Let f = -329 - -4279\/13. What is the biggest value in l, k, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 2:12 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.023 (b) -4 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = 4. Let f(y) = -y**2 - 7*y + 4. Let t be f(-8). Let v(r) = r**3 + 4*r**2 + 3. Let j be v(t). Solve j*u = w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 3762 + 138 = 0. Does 39 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrq when three letters picked without replacement from {q: 3, r: 1, m: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 25 = -5*c, -60 = c - 6*c - 3*s. Let r(o) = o**2 + 4*o + 6. Calculate the least common multiple of r(-4) and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eupyypwd. What is prob of picking 2 p and 1 w?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1553 - -1839. Calculate the remainder when r is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + 28.38.\nAnswer: 38.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.233032 rounded to one dp?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 3*s**2 - 135 - 2*s - 153 + 423 - 135.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {b: 2, v: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 5*b = 156. Suppose 0 = -b*q + 2*q + 1576. List the prime factors of q.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 6 + 1 = 0. Let h = k + 12. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*z + 430 = 176*p - 175*p, 0 = 3*p - z + 54 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00183234409 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*i - 2*i**2 - 3*i**2 + 57*i wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2568 is divided by 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.4, 0.029, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*p = -185, f - 2*p = -3*p + 59. Suppose f = -h + 5*n + 337, 242 = h + 5*n. List the prime factors of h.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14972 divided by -25.\nAnswer: -14972\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3751 is divided by 720.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 2, k: 1, o: 1}. What is prob of picking 1 h and 1 c?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -11. Let u(k) = -k. Let m be u(x). Let v be -3 - m*4\/8. Is v greater than 6\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-14)*(-21)\/(-28))\/(3\/13).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + (-76)\/(-28). Suppose 12 = -l*w - 6. Which is smaller: w or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**10\/680400 + r**9\/136080 + r**8\/90720 - r**5\/30 + r**2. Let g(y) be the third derivative of b(y). Factor g(p).\nAnswer: 2*p**2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p = 32*p. Suppose p = -2*m + 134 - 132. Suppose -2*x = 4 - 12. What is the greatest common divisor of x and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m. Let h(z) = -5 - z + 5. Suppose 5 = 2*t - 5. Give t*v(f) + 4*h(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:18 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6763305, 13526501, 20289697, 27052893, 33816089?\n\"Answer: 6763196*y + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 2e?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c + 3008 - 15824. Calculate the greatest common divisor of c and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -8*p - 142. Let i be x(-25). Suppose -61*m = -i*m - 2520. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 270902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 373579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 19 + 79 - 21 - 17 - 5112*q**2.\nAnswer: -5112*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 136 and -4.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1638, 6444, 14468, 25722, 40218, 57968, 78984, 103278?\n\"Answer: 2*w**3 + 1597*w**2 + w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 4 = l. Let r(q) be the second derivative of 7*q**5\/20 - 7*q**4\/12 + q**2\/2 + q. Let o(z) = 10*z**3 - 10*z**2 + 1. Calculate l*r(m) + 5*o(m).\nAnswer: m**3 - m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -24878 - 3794. Calculate the highest common divisor of c and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1463 times -14262\nAnswer: -20865306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 82. Let p be y*7\/28*-2. Factor -2\/9*x**3 - 4\/9*x - 2\/3*x**2 + p.\nAnswer: -2*x*(x + 1)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 681 + -513. What is the third smallest value in -0.2, o, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, -3, 2485 in decreasing order.\nAnswer: 2485, 1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8202*z**2 - 4478*z wrt z?\nAnswer: -16404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**2 + 60*h + 36. Let v be z(-6). Let q(f) be the second derivative of v*f**2 + 0 + 4\/3*f**3 - 1\/3*f**4 - 12*f. What is i in q(i) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497745141 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5\/(t*t\/t**(-8))*t**(2\/13)*t**(-6)\/t assuming t is positive.\nAnswer: t**(-154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 7*v**6\/5 - 267*v**5\/25 + 147*v**4\/10 + 169*v**3\/5 - 168*v**2\/5 - 48*v - 6261. Solve u(m) = 0 for m.\nAnswer: -1, -1\/2, 1, 20\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/420 + ((-6)\/2)\/(-18).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/4, 12, 5, 1, 1573, 4\/7?\nAnswer: 1573","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011100010011000000011 (base 2) to base 5.\nAnswer: 2302342124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 802073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6236440 (base 8) to base 16.\nAnswer: 193d20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - 3*v**2 + v**2)*(v**2 - v**2 + v**2) - 12 - 1740*v**4 - 9 + 1705*v**4 to the form f + p*v**2 + a*v**4 + j*v + z*v**3 and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9338.7691 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -548.939 rounded to the nearest integer?\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j - 1. Let y be m(6). Suppose 4*o = -o + 200. Suppose 3*q = y + o. Solve -q = 2*p + 5*k + 8, 3*p - 10 = 5*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 25126.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72.1 - 12.1. Let o = y - 58.3. Let h = o - 1.7. Sort h, 6, -1 in decreasing order.\nAnswer: 6, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038.72186 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lddl when four letters picked without replacement from lldllllllllddl.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4*(10\/2 + -7). Solve 25 = -3*j - 2*j + 4*s, -t*s = 4*j - 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5322 + 5327. Let p = -8 + 20. Solve -8 = -v*q + h + 2*h, -5*q + 2*h + p = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/((-91)\/(-921)) + 36\/14 + -2. Which is smaller: z or -134?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 1886600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 28 + 10 = 0. Suppose 3*g = 2*v + b*v + 82, -5*g + 146 = v. Is g a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/8 + 377*d\/8 + 47 = 0.\nAnswer: -376, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3653712*y**5 + 311*y**2 + 10176 wrt y.\nAnswer: -219222720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10336 + 5?\nAnswer: -10331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cd9f7 (base 16) to base 4.\nAnswer: 13031213313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 3, 10, -2, -5, -25 in increasing order.\nAnswer: -25, -5, -2, 3, 10, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(0 + 10) - (6867576\/15)\/8. What is f rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1877238 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u**2 + 10*u**2 + 29*u**2 + (-13*u + 10*u + 2*u)*(-u + 0*u - u).\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 19, 19, 3, -35, -101?\n\"Answer: -i**3 + i**2 + 14*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -562 (b) -0.04 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7424 is divided by 2310.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4020)\/603*(-4)\/(16\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 209 = 295. Let t = b + 72. Suppose -3 = -3*n + 3*u + 18, t = n - 3*u - 15. Solve n*z = -2*v - 0 - 3, -z = -4*v - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + (0 - -3) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 10. Let h = -32 - -42. What is the highest common divisor of h and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -415 (base 8) in base 9?\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5131.5 - 5131.4960539. What is c rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2 (b) -6\/11 (c) 20\/137 (d) -4 (e) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxtz when four letters picked without replacement from ecextzmz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2005410 and 107489976.\nAnswer: 537449880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 4:30 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0602*0.2.\nAnswer: -0.01204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - z**2 - z + 2. Suppose 7*c = 2*c + 10. Let n be y(c). Suppose 1 + 0 = p, 0 = 4*f + 4*p - n. Which is smaller: -8\/7 or f?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 - -27453988287624\nAnswer: 27453988287623.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 12*r + 9 - 9 + 16, -5*j - 32 = 6*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3913111\/3476 + 4503\/4. Let a = -872\/2607 - i. What is the closest to a in -3, -0.3, -26, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2879 = 2893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -177.1, 2\/7, 0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o + 78. Let q(n) = 11*n + 237. What is -17*a(j) + 6*q(j)?\nAnswer: -2*j + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9079\/1660 - 53\/166. Calculate the common denominator of n and -13\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.1 + 78.9. Let k = q - 104. Let v = -3087\/85 + 181\/5. What is the nearest to k in 0, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13031132222 (base 4) to base 2.\nAnswer: -111001101011110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51.1 - -31. Let t = 20 + d. Let k = 361\/1584 - 1\/176. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -3, -5, 50948 in increasing order.\nAnswer: -5, -3, 0, 4, 50948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:44 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.839001 rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w*w*w**(1\/2))\/w)**(15\/4))**6)**(1\/32) assuming w is positive.\nAnswer: w**(225\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - 18) - 22?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30419834 and 288988423?\nAnswer: 577976846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2\/6 + 5040*x + 30250\/3 = 0. Calculate x.\nAnswer: -2, 6050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -15*i**2 - i - 29. Give w(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1430 + 2160 - 2439)*(-3 - 10*s + 0 + 2)*((0*s - 2*s + 0*s)*(4*s**3 - 4*s**3 - 2*s**3) - s**4 + 2*s**4 + s**4).\nAnswer: -69060*s**5 - 6906*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2 + 5*z = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/5 + 0. Suppose -7*l + 8*l - 5 = 0. What is the nearest to v in -3, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - -43. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + i**2 - 2*i**2)*(-1 - 2*i + 1) + (0 - 3*i + 0)*(-i**2 + 0*i**2 + 2*i**2).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2 - 78*l**2 + 19*l - 17*l - 5*l + 0*l + 5*l. What is d(-1)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5891937 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 784646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 258.4372 years?\nAnswer: 2.584372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 98 = 2*z - 51 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 128*l**2 + 277*l + 31. Give h(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -2 + (0 - -2) + 26 + -24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7170 = -o - o. Suppose -7*i = -13*i. Is (o\/10)\/((-2)\/(-4 - i)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2469 = -5*k + 4248, -l = 5*k - 6721. Suppose -v + 0*h = h - 263, -h = -5*v + k. Suppose 5*b - 137 = v. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y - 455 = 437 - 165 - 79, -z + 3*y = 5*y - 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8137.51986 rounded to one dp?\nAnswer: -8137.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.46 * -4130961.\nAnswer: 1900242.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = -5*q, q + 1 = -3*a + 11. Solve q = -3*r + 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59069 = 64*g - 348012 - 112471. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63828 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -107*c + 325. Is p(-38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**8\/140 - 9*p**7\/280 - p**6\/60 - 10*p**3\/3 + 37*p. Let u(l) be the second derivative of y(l). Factor u(w).\nAnswer: -3*w**2*(w + 2)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 19*v**3 + (-2*v**3 - 3*v**3 + 4*v**3)*(3 + 2 - 1)*(2 + 4 - 1).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5434256315.\nAnswer: 5, 349, 557, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*r - 4*z, 3*r - 11*z + 7 = -13*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517274827 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-208)\/(-6) - 4\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5 = 0, z + 1951 - 1948 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(7)*1 + -5 + (sqrt(7) + sqrt(63))*6 + -2 + (sqrt(7) + 1)*-6*6)**2.\nAnswer: 1034*sqrt(7) + 3056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11 - 12)*(1 - 1053). Suppose 2*m + c = 6*m. Suppose 3*p - 179 + 30 = 5*l, m = 5*p - l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + 103. What is the smallest common multiple of g and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 2*o + 10. Suppose m - 6 = -o. Suppose -14 - 10 = -3*r. What is the greatest common factor of m and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -61*r**2 - r + 4. Let h(c) = -9*c. Give t(h(x)).\nAnswer: -4941*x**2 + 9*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(931) + 1)*5.\nAnswer: 30 + 210*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -187*j**4 + j**2 - 2648?\nAnswer: -748*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*o = 8*z + 2, -5*z - 10 = -3*o. Which is the nearest to -2\/217? (a) -6\/11 (b) 6\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - q**3 - 5*q**4 + (5*q + 0*q + 0*q)*(88*q**3 - 2068 + 2068) in the form y*q**2 + z + d*q**4 + m*q**3 + o*q and give d.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 0\/(-1) + 0. Suppose -5*g + n = 2*r - 2*g, 15 = 4*r + g. Let k = -9 + 9. Solve -b - 9 = r*v - k*b, v - b = -6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/9 in -1, -0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -0.8 (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 7 - 1) + (-6 - -11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -167 - 4?\nAnswer: -16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*y + 68, -2*y - k - 2*k - 28 = 0. Let p = -2 - 7. Let l = p - y. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4014*a - 464875*a**2 - 68623*a**2 + 8028*a - 4014*a.\nAnswer: -533498*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 10*t**2 - 9*t - 2. Let x be p(9). Is x equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34397665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttjjjjtjttt. What is prob of picking 2 t?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 2336?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 112220020 (base 3) to base 14\nAnswer: 3d5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 4.8.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 85 divided by -134881\nAnswer: -85\/134881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(3 - 1 + 1)*(-3*m**2 + 4*m**2 - 3*m**2).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 - 5*z**2 + 4. Let d be a(-4). Let q be d\/36 - (-2)\/(-9). Solve k = -3*k + 3*v + 18, -q*k = -4*v - 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g + 5. Let z be k(0). Solve -z*w**2 + 2*w**3 - 8*w**2 + 5*w**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 11 - (-10 + -1 + -7 + 33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 16*j - 21 = -13*j, -4*b = 4*j + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 104 = 4*z, -3*p - z - 10 = -84. Suppose p = 4*q + 25. Suppose -14*u + 15*u - 19 = q. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -361.\nAnswer: -3\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (29 - 18) + 50 + 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o - 2930. Suppose 2936 = 4*v + 2*m, 0 = 2*v + 2*v - m - o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35943976 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/31)\/(6\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 64*o**2 + 81*o + 22. Give i(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238 - -430. Let x = 194 - g. Solve -u = -2*u + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 3)*(-13 + 13*m + 13) + 2*m + 2*m - 3*m as h + b*m and give b.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 8*f**2 - 13*f + 7. Let s be k(-6). Suppose s*c - 12284 = 6085. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 53 = 3*s - c, -3*c - 3 = s. Let i be (-10)\/8 - (-3)\/s. List the prime factors of 43 + i - (2 - -2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -151\/9? (a) -67 (b) 0.3 (c) 0.009 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(1\/8))**32*c**(-7)*c**(6\/13))**(1\/15))**38 assuming c is positive.\nAnswer: c**(14554\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 1524*r**2 + 18864*r.\nAnswer: -4*r*(r - 393)*(r + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 44266104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110010 (base 2) to base 4.\nAnswer: 12302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 - 10*f + 23. Calculate the lowest common multiple of 105 and k(4).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2701671851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 723518697 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 272646 or 272647?\nAnswer: 272646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + 52. Let u = -3 - 0. Are u and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 8:24 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 442 and 18632.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 5*v + v**4 + (-114*v**3 - 93*v**3 + 258*v**3)*(-v + 2*v + 0*v).\nAnswer: 52*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 605211 and 4414979.\nAnswer: 5020190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 41 = -q - 0*q, 6 = 2*b + 3*q. Suppose -108 = 8*m - b*m. What is m rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155682 is divided by 3535?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128658 divided by -110.\nAnswer: 64329\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62*s + 18*s**3 + 14*s**2 - 65*s + 191*s - 68*s.\nAnswer: 2*s*(s + 1)*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 496340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4603680 and 1472.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-22 - (9 + -26)) - (0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (302 - 318) + (-600)\/(-32)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*q - 6 = 0, -5*y - 2*q - 119 + 105 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346196.\nAnswer: 2, 23, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116135 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 13\/23?\nAnswer: 13\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 12. Suppose 0 = 4*s - s + q - 194, q = -1. Let p = s + 12. Calculate the remainder when p is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -12638?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:53 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/5)\/(s\/(s*(s\/s**8)\/s*s*s))*s**(-2\/17)\/s**11 assuming s is positive.\nAnswer: s**(-1438\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 6. Suppose 5*l - 4*f - 23 = 2*l, 0 = 3*l + 4*f - 7. Suppose 4*d + 5*o = 32, 2*d - l*o + 2 = -3*o. What is the highest common factor of d and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 10. Suppose g = -2*u + 1, -u + 2*g - 2 = -x*u. Solve u*b - b = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-90)\/(-16))*18\/(-24). Let n = -206.5 - -207.5. Sort n, f, 0.46 in decreasing order.\nAnswer: n, 0.46, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36635 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*d - 0*p + 9, 0 = -d - 3*p + 16. Find the common denominator of 46\/3 and 2 - 19 - (-1)\/d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 minutes after 8:05 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from {w: 2, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 0.6. Let h = 7.6 + t. Let z = h - 9. Which is the nearest to -1? (a) 2\/11 (b) 4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 13 = o. Calculate the highest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7795?\nAnswer: 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/95)\/((-12)\/(-90)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110001 (base 2) to base 12.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 8*l + 56, 36*t - 34*t = 2*l - 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + 0 + sqrt(539) + sqrt(539) + 3*((sqrt(539)*1 - sqrt(539)) + sqrt(539))).\nAnswer: -70*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 180 + 372. Suppose 0 = -5*p - 3*h - 307, -135*p + 136*p = 2*h - 64. Let k = p - u. List the prime factors of k.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 9. Suppose -5*a = q - 17, w*q + 8 = 5*a + 4*q. Determine z so that 2 - 4 - a*z + 0*z**2 - z**2 - 1 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-160)*(-105)\/14*1. Sort -5, q, 2\/11, 16, 5.\nAnswer: -5, q, 2\/11, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2952 and 5957?\nAnswer: 8909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 4, t: 6, c: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 19}. What is prob of picking 1 z and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**5\/60 - 3*q**3\/2 + 53*q**2. Let u be l(-5). Solve 0 = t + 12 - u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4679, 39536, 134733, 320438, 626819?\nAnswer: 1084044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/25)*h)\/(h*h*h\/(h\/(h*h**(-1\/11)*h*h))) assuming h is positive.\nAnswer: h**(-1031\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -52, -220, -552, -1102, -1924?\nAnswer: -3072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1258 by -3656.\nAnswer: -629\/1828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -33065335?\nAnswer: 33065340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0*p = 5*s + 10, 29 = 5*p + 4*s. Are p and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -57*(-1 + -3 + 3). Let i = -8 + -20. Let f = l + i. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*k. Let u be (-3004)\/(-2)*(-1)\/k. Let v = -350 - u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.1632um in kilometers?\nAnswer: 0.0000006591632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1+-40.3\nAnswer: -41.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -90 (b) 0.03 (c) -1898\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1347 = 3*k, 195 = -k - 4*a + 644. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5)*(23 + 7). Let j be s\/(-9)*(-6)\/(-4). Solve j*i = 6 - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 6447767\nAnswer: -1\/6447767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:28 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21953 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198.285 + -198. Let n = -0.385 + z. Which is the third biggest value? (a) 2\/3 (b) -26 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651083273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 3*k**2 + 2. Let x be j(2). Let q = -10 - x. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 4)*(-4*y + 3*y - 2 - y).\nAnswer: -8*y - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 9:08 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -358 + 0*v + 4*v + 725 + 6*v**2 - 365 + 5*v. Give k(-5).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*c - 4*a, -4*c + a + 3 = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 7 + 39 - ((-3 - -2) + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(30)\/sqrt(6))**2*-5 + -5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66, -220, -552, -1152, -2110?\n\"Answer: -15*z**3 + z**2 - 52*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4266 or 4260?\nAnswer: 4260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 1:23 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3654 + k**2 + 3654.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/39)\/(((-6)\/2)\/(-3))*-2\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12\/5 (b) 2.3 (c) 0.2 (d) 1\/1739 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + -4 + -2 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - -6 - (69 + -67)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.4, 5, 1\/5, -1\/4 in descending order.\nAnswer: 5, 1.4, 1\/5, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v - 4 + 4)*(-27 - 1033*v + 1035*v + 183) in the form a + z*v + p*v**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**4 - 307801*l**3 + 1351915 wrt l.\nAnswer: 8*l**3 - 923403*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**2 - 2*k. Let c(v) = 51*v**2 + 21*v. Let i(d) = 21*a(d) + 2*c(d). Let l(q) = 110*q**2. Calculate l(i(s)).\nAnswer: 990*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344)*1 + sqrt(1344))\/(sqrt(300)*1 + sqrt(300) + sqrt(300) - sqrt(300)).\nAnswer: 4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1268 - 333*u + 1315 - 2587 in the form l*u + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4472*u**3 - 2*u + 2528*u**3 + 2358*u**3 in the form s*u**3 + h + w*u**2 + l*u and give s.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 9, -169, -511, -1071?\nAnswer: -1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 672715440 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -463*z + 869. Let w be m(0). What is the highest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93239 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10697 - -10692. Which is the smallest value? (a) -3\/23 (b) 2\/7 (c) 0.1 (d) 5 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.15 + -1.922. Let u = d - 2.1. Let y = u - 0.067. What is y rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*a = -d - 6, -3*a - 1 = 4*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4920*l**2 + 633 + l - l - 4919*l**2 - 633.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 3*y = 8*i + 23, -3*i + y - 13 = 0. Put -18, -4, i, 2 in descending order.\nAnswer: 2, i, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a factor of 223292612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i = 18. Let q(m) = 2 - i - 1 + 1 + 17*m. What is the units digit of q(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 2 + (-18 - -24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202 - 5?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81843393?\nAnswer: 3, 19, 75571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**3 + 47*c**2 + 24*c - 111. Let y be l(-11). Let w(t) = 7*t + 60. Calculate w(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 4380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -7. Let j = 11 + k. Let i(h) = 3*h + 3 + 15*h**3 - h**2 - j - 14*h**3. Determine i(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10493 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 70\/21)*6\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 28. Suppose 2*k - 40 = -5*n - 3*k, -p*n + 40 = 2*k. Suppose -z - z = -n. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -1197*d - 252. What is the thousands digit of r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2774*r - 2082*r + 4918*r.\nAnswer: 5610*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.243 to one decimal place.\nAnswer: 40.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67781*n + 5340 + 38336*n - 5340.\nAnswer: 106117*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2187952 and -21\/2948?\nAnswer: 24067472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 750\/3500 + 3\/14. Suppose 0*z**3 - 6\/7*z**2 + 0 + 6\/7*z**4 - k*z**5 + 3\/7*z = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 10:08 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2537919, 2537941, 2537977, 2538027, 2538091, 2538169?\n\"Answer: 7*f**2 + f + 2537911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*m**5 - 8*g**2 - 16089*m**5 + 3711*m wrt m.\nAnswer: -40*g**2*m**3 - 321780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 12. Let h = -67 - -68. What is the second smallest value in p, 2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 52*m**3 + 2*m**2 - m. Suppose -40 = 4*u + u. Let x = 9 + u. Is c(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + (sqrt(28) - (2*sqrt(336))\/sqrt(12)))\/((sqrt(44) - sqrt(396))\/sqrt(11)))**2 + (3 + 0 + (sqrt(35)\/sqrt(5) + sqrt(7) - sqrt(7)) + 0)**2.\nAnswer: 6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 11*t - 21337 = -10*t, -21325 = -5*f + 5*t. What is the thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/5 + 85999*h\/5 + 172002\/5 = 0.\nAnswer: -2, 86001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**2 + 4*h**2 - 3*h**2)*(97 - 37 + 87).\nAnswer: 1176*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395831719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1224142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by -41?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 116147018.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 130*x + 861. Give d(-8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 11. Let n = -17 + 16. Let o(j) = 6*j**2 + 7*j + 6. Let k(y) = y**2 + y + 1. Give n*o(u) + r*k(u).\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 - 202642*v**2 - 6280875*v + 13372326 = 0. Calculate v.\nAnswer: -202611, -33, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4570a + -1?\nAnswer: 45709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04031 from -7.\nAnswer: -6.95969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/5)\/((-1)\/(-5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12692?\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 + 4*x**2 - 24*x**3 + 5*x**4 - 3*x**2 + x - 5*x**4 + 8*x**4 to the form y*x + z*x**4 + o + t*x**2 + b*x**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2591?\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -4. Let b(g) = -g**2 - 2*g - 4. Calculate b(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*45.246996.\nAnswer: -13.5740988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78372 or -78415?\nAnswer: -78415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4 - 236*b**3*u**3 + 1099*b**2*u**3 - 2*b*u**3 wrt b?\nAnswer: -24*b - 1416*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 7 (b) 3 (c) 1 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d**(1\/2)))\/d*d**3)\/(d\/(d\/(d\/d**0)))**(-17))\/((d**(-2\/7))**(14\/5))**49 assuming d is positive.\nAnswer: d**(587\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*z - 236, -714 = -3*v - 3*z - 0*z. Suppose 3*b = 4*t + 706, -63*t = b - 62*t - v. What is the smallest common multiple of b and 4?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 11:30 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-23 - -11 - -12) + (9 + -8 - 95)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 112882 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 157 divided by -2\nAnswer: -157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17735273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258.64 centuries to millennia.\nAnswer: 25.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1489698 weeks in days?\nAnswer: 1.0427886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from nefenufueufgffffu?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (832\/6)\/((-26)\/(-117)). Suppose -q = -2*j + 764. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p*p\/p**2))\/p)\/p)\/p)\/(p**(-3)*p))\/(p**(-11)\/(p*p**(-18))) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-21 - 7) - -20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - 0 - -2) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from hhahhhghhhhghh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38233*n + 38265*n + 32 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 120\/32*(-16)\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3 - 3)*(-h**2 + h**2 - 2*h**2) + (0*h**3 - h**3 + 0*h**3)*(-11*h - 10*h + 8*h).\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111 and 5.\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -13. Let i(o) be the second derivative of -1\/48*o**4 + 0 + 0*o**5 + o + x*o**3 + 1\/120*o**6 + 0*o**2. Find r such that i(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102002 - -120020001?\nAnswer: 112210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + c - 1. Let y(s) = -s**2 - 6*s + 9. Determine -6*a(g) - y(g).\nAnswer: -5*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2168 + 2170. Let v(d) be the second derivative of -11*d**4\/12 + d**3\/3 - 24*d. Let j(u) = -56*u**2 + 11*u. Calculate y*j(i) - 11*v(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c + 9. Calculate z(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1389, -2712, -3999, -5232, -6393, -7464?\n\"Answer: 3*a**3 - 1344*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from {l: 6, g: 1, z: 4, k: 3, s: 1, h: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.18 and -7.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*x - 16 = 0, -x = -2*l + 2*x + 10. Let k = l + 0. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 38. Suppose n = -5*t + 155 + 30. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70202 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1851857 to the power of 1\/2, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/204 in -4, 0, 0.1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4850.142 rounded to the nearest integer?\nAnswer: -4850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 748 and 14510826?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*t + 28*t + 221 - 13 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2620*u + 217737 = 4481*u for u.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p. Suppose p = -4*w + 31 + 1. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8*c - 1. Let o be b(1). Let s be (-57)\/o + 2\/3. Is s equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 1, f: 1, e: 1, j: 2, y: 1}. Give prob of picking 1 f, 1 e, 1 z, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/19? (a) -0.02 (b) 0.4 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by 244.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, -16\/109, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31086921 is divided by 413.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgggj. Give prob of sequence jg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 64*c + 271. What is the hundreds digit of i(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 60 = 2*i, 0 = x - 5*i - 10. What is the least common multiple of x and 12 - (-1 - -3) - ((-13 - -12) + -3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-16)\/(-352) - (-139)\/(-583). Is k at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*g - 5*x, 2*x - 4 + 56 = 3*g. Solve 0*p + 4*u = -p + g, -p = 3*u - 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = 3*d + 137 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 1. Let n(t) = t**2 - 2*t + 3. Calculate 6*l(y) - n(y).\nAnswer: -y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5359 = -41*z + 46*z, i - 2*z = 1345. Calculate the highest common divisor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -133, -9?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 365974992 - 3?\nAnswer: 365974989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2 + c. Let w be m(-1). Let u = 8 - w. Solve 0 = 2*z - 5*x - 28, 12 = -3*x - u*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2153 + -2163. Sort -3, b, -1 in decreasing order.\nAnswer: -1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7.11. Let g = s - -17.89. Let t = g - 14. Which is the third biggest value? (a) t (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -89. Suppose y + 3*y - 52 = -3*p, 6 = -f*y. Calculate the lowest common multiple of 216 and p.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -43. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11712\/(-95160)*1287\/(-12).\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/5 (c) -3\/106 (d) 2\/9 (e) -1 (f) -969\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 6. Let w be o(6). Suppose w = -3*u + u + 30. Suppose 16 = y + 1. What is the greatest common divisor of u and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 20*y - 46. Let w be r(21). Let s = w - -110. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-12) + 4\/(-480)*-4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.31 or 5318?\nAnswer: 5318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431514389?\nAnswer: 31, 13919819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 2*g**2 - g - 141. What is p(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eighteen fifths of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.352983l to millilitres.\nAnswer: 8352.983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Let g = -14.48 + 14.58. What is the second biggest value in 2\/13, g, -5, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1137 divided by -379.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((i + 0 + 0)*(-3 - 1 + 6) + i - 2*i - 2*i)*(-57*i + 19*i + 23*i)*(-3 + 3 - 2)*(-2 - 1 - 1) to the form j + q*i**2 + n*i and give q.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m**3 - 5*m**3 - 4*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -519755, -519754, -519753, -519752, -519751?\n\"Answer: c - 519756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17*v + 10. Let f be p(2). Let b be -3*3\/(f\/32). Let o be (-20)\/3*18\/(-15). What is the highest common divisor of b and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1237 or -1235?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.6084 and 0.074 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, 0, 8, -45.\nAnswer: -45, -2, 0, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -12*m**3 - 14*m**2 - 37*m - 6. Does 48 divide c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 122 + 117 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h - 3. Suppose 0*x - 3*x = -12. Let n(b) = b. Let g(z) = 2*z - 1. Let m(d) = 2*g(d) - 6*n(d). Give x*q(r) - 5*m(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -26*x**2 + 35*x - 283. Let p(r) = 6*r**2 - 9*r + 71. Let t(j) = 9*p(j) + 2*q(j). Differentiate t(u) with respect to u.\nAnswer: 4*u - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20240963 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arkqjajrrjkarrrqqjr. What is prob of sequence aqjq?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttaaaaataaattat. Give prob of sequence taaa.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -954, -937, -910, -873, -826, -769?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -379*v**3 + 25*v**2 + 79*v - 3937. Let i(b) = -94*b**3 + 6*b**2 + 19*b - 984. Let s(x) = 6*f(x) - 25*i(x). Find the first derivative of s(n) wrt n.\nAnswer: 228*n**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 4 = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + d**2 - d + 1. Let o be z(0). Let x be 3*o\/6*-2. Let l = 181\/4 + -45. What is the second smallest value in x, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1749*x**2 + 2*x - 10919 + 5458 + 5463.\nAnswer: 1749*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 1. Let t be b(1). Is (t - 2*-1759)*(-5)\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12315480 by -15.\nAnswer: 821032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*j**3 - 16*j**3 - 12*j**3 + 41*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, -18, -4 in descending order.\nAnswer: 190, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 6*c**2 + 7*c + (1 - 4*c - 1)*(-c + 0*c + 0*c) in the form x*c + r + b*c**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 10, 31, 70, 133, 226, 355?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -223001*d**2 - 9*d + 10. Let g be t(-10). What is g rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 7*n + 3. Let x be r(-7). Let z be -1 - -2 - (6 + 7 + -12). Suppose m - 4 = z, 4*d + 26024 = -x*m - m. Round d to the nearest one hundred.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvuvguuuuuvxguuuu. Give prob of sequence xg.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585 and 1376685?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3\/2 - 63*i**2\/2 + 165*i = 0. What is i?\nAnswer: 0, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 6 (b) 33361 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.2 + 11. Let l = -0.8 + r. Put l, 1\/3, -3\/2 in increasing order.\nAnswer: -3\/2, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2406 or 0.2?\nAnswer: -2406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(4*h - 2*h - 4*h) + 4 + 3*h + 0*h + 1.\nAnswer: -h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 11*z**2 - 19*z + 8. Let y be w(9). Let p(x) = x - 1. Let j(r) = -8*r + 4. Let s(q) = y*j(q) - 6*p(q). Give s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 812 = -0*b + b, p + 2*b - 406 = 0. Which is smaller: 407 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 68 = -14*y - 1489 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f - 7. Suppose 8*y - 2 + 42 = 0. Determine o(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-41 + 5 - 24)*(-28*l**2 - 47*l + 47*l)*(-4*l**2 + 5*l - 5*l) to the form s + t*l**4 + n*l**2 + u*l + z*l**3 and give t.\nAnswer: -6720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 12, n: 2, s: 4}. Give prob of sequence sn.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*84\/(-600))\/(2\/4).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157250026?\nAnswer: 2, 78625013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1624.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 38 = -2*z + b, 2*z - 40 = 4*b. Suppose 0 = -7*t + 5*t + z. Suppose 144 - 9 = t*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/7 - 24*j**2\/7 - 86*j\/7 - 60\/7 = 0. Calculate j.\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 24. Suppose -4*w + 2*q - 4 = 6*q, -4*w = -4*q + 28. Let s(j) = j**3 + 6*j**2 + 7*j + 6. Let g be s(w). List the prime factors of y(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42 (b) 4.4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-75)\/(9 + -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 0.1 (c) 0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 17\/2*o**2 - 123*o + 52. What is the derivative of r(d) wrt d?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -48?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 12 - 2. Suppose 6*w + 34 - 46 = 0. Solve 0*q + w = t*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180061688 to the nearest integer?\nAnswer: 13419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3920 = -46*v + 89305 + 117133. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000111101100 (base 2) to base 10.\nAnswer: -8684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, a: 1, b: 6, g: 2, y: 1}. What is prob of sequence bblg?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i - 9. Suppose 5*j + 4*w + 4 = 0, 8 = -j + 4*w - 12. Let z(b) = -2*b - 5. Calculate j*k(c) + 7*z(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*r = -101*r - 3*w - 72, -r + w + 35 = 0. What is the remainder when 299 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 775 by 6.\nAnswer: 775\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 66, 65, 64, 63, 62?\n\"Answer: -g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/15*2)\/((-8)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/30 - (-944)\/(-354).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -379*g + 80*g**4 - 7 + 3 + 4 wrt g?\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 1081199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -9*l + 230 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17 (b) -99 (c) 3839\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16823080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29304943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*16\/(-12). Let y(v) = -255*v. Let x(m) = -m. Let h(a) = 20*x(a) + y(a). Let d be h(c). What is d rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**7\/30 + 7*n**4\/12 + 6*n**2. What is the second derivative of f(q) wrt q?\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11130552, 2, 0 in decreasing order.\nAnswer: 2, 0, -11130552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -1\/4 (c) 5\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h**3 + 3*h**2 - 9*h - 52. Determine f(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-65)*(-1)\/6\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/833 + 120\/833. Let m(j) = -j**3 - j + 5. Let i be m(0). Suppose 0*g - 7 = i*g - r, -2*g + r = 1. What is the second biggest value in o, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (8 - 6 - 17).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.686 (b) -18 (c) -0.8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36404.41 years in millennia?\nAnswer: 36.40441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 5*x + 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3596 + 3648. Calculate the highest common factor of w and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/31 (b) 2\/7 (c) 1\/4 (d) -4\/5 (e) -0.1 (f) 2\/19 (g) -138\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14549 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9535a75 - 5?\nAnswer: 9535a70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gssggs. What is prob of sequence ggs?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*s - 23, -2 = 27*u - 30*s + 24*s + 82 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 652, -20, -3, -4 in ascending order.\nAnswer: -20, -4, -3, 652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22, -34, -58, -100, -166, -262, -394, -568?\n\"Answer: -l**3 - 5*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 6. Let x be c(4). Let g = -3 + x. Is g <= -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, h: 2, g: 2, q: 3}. What is prob of picking 3 g and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f + 12776*f**2 - 24*f + f**3 + 47*f.\nAnswer: f**3 + 12776*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 29*h**2 - 82*h - 330. What is d(-27)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 45*b**2 - 2*b - 240. Is c(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-1 + -1))\/1. Let l be 0 + y*(1 - 3). Solve -2 + 10 = l*g, -3*g + 8 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3142120622 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, j: 3, k: 2, o: 2, p: 3, c: 1}. Give prob of sequence coko.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60\/7 or -10?\nAnswer: -60\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 8. Let i be l(-8). Let z(m) = m**3 + 7*m**2 + 5*m - 8. Let s be z(-6). Sort -5, s, i.\nAnswer: -5, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13243, -13222, -13201, -13180?\n\"Answer: 21*o - 13264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 212.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**3 + 3*f**2 - 4182*f + 3475520?\nAnswer: 3*f**2 + 6*f - 4182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14292?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 9:24 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-31)\/t*t\/(t**13\/t) assuming t is positive.\nAnswer: t**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64706261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**3 - 2*u**2 + 1. Let i(z) = -z + 6. Let q be i(3). Suppose 4*b + q*r + 17 = -b, 0 = 2*r + 8. Determine y(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1256 + -1254. Let o = -2\/2267 + -482867\/4534. Which is the second biggest value? (a) m (b) o (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 13. Let i(q) = -42270 - 17*q + 42270. What is c(i(r))?\nAnswer: 17*r + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - 8*n**3 + 10*n**3.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/7)\/p*p**(-1)*p)**23)**(2\/51))**(1\/49) assuming p is positive.\nAnswer: p**(-368\/17493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 43*r**2 + 5*r - 208. Let f(l) = 24*l**2 + 2*l - 103. What is 9*f(t) - 5*y(t)?\nAnswer: t**2 - 7*t + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1)**(-21)*(d**(-2\/7))**(-17) assuming d is positive.\nAnswer: d**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*t + 396 + 208 = -24. Let u(p) = 2*p**3 - 5*p**2 - 3*p - 1. Let w(a) = a**2 + a. What is t*w(c) - u(c)?\nAnswer: -2*c**3 + c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6784)\/(-14) + 3\/7. Let y = k + -344. What are the prime factors of (-4)\/6 + y\/9?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81, -164, -247, -330?\n\"Answer: -83*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*a - 141 + 141)*(-1 + 1 + 5*a)*(-5*a**2 + 2*a**2 + a**2) in the form d*a**2 + g + n*a + f*a**4 + p*a**3 and give f.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * 183.\nAnswer: -7503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (4\/(-5))\/((-1)\/15) and (-14)\/((-28)\/16*1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 1771, -1\/3, -0.1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 369223516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 67479992 = 165*n - 164*n, 16 = -4*g. What is n rounded to the nearest 1000000?\nAnswer: 67000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*f + 0 + 2)*(f - 4*f + f) - 6*f + 6*f - 11*f**2 as r + u*f + j*f**2 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30965 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/7)*(w\/((w\/(w**10*w*w))\/w*w))\/w)\/(w**(1\/3)\/(w*w*w*w*w**(-2\/13)*w)) assuming w is positive.\nAnswer: w**(4157\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j - 4. Let a(l) = -49*l + 1058. Let x(r) = -3*r + 64. Let o(v) = -2*a(v) + 33*x(v). What is h(o(u))?\nAnswer: 7*u + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 15*k. Suppose 3 = t - 0. Suppose 0 = 6*j - t*j - 3. Is r(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 2*y - 38. Let s = -44 + 31. Is o(s) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 25*u - 646. Let s be c(26). Suppose -4*a + 2*a = -6, -2*y = 4*a - 30. Solve 7*v - s*v = -y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 334?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 3*u**2 + 622*u + 2099. Let t(c) = c**3 + c**2 - 3*c - 3. Let h(m) = -3*t(m) - x(m). Differentiate h(s) with respect to s.\nAnswer: -6*s**2 - 613","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*j*o*t - 7335*j*t**2 + o*t**2 + 35*o + 4*t**2 + 57*t - 1 with respect to j.\nAnswer: -67*o*t - 7335*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in -1\/8, -2\/39, -1, -0.4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -4 (c) -0.5 (d) 832 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9983 or 9984?\nAnswer: 9983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.131 - -0.121. Which is the closest to d? (a) -4 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 58. Find the second derivative of -c - 27*c**m - 1155 + 1155 wrt c.\nAnswer: -540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85363380 and 16?\nAnswer: 341453520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 54 + -1 + -49 - (7 - (4 - 9))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4672 = 4882*p - 5028*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)**(-28)\/(v**(-1\/3))**4)**(-15) assuming v is positive.\nAnswer: v**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2736 and -1\/475.\nAnswer: 68400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -116553 * -0.01.\nAnswer: 1165.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-7 - (-10 - 8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 2. Let r(f) = 8*f**2 - 2*f - 110. What is -r(q) + 10*u(q)?\nAnswer: 2*q**2 + 2*q + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -946260, -946257, -946250, -946239, -946224, -946205, -946182?\n\"Answer: 2*z**2 - 3*z - 946259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:53 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 414001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -326518215+-85.27\nAnswer: -326518300.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ms when two letters picked without replacement from suwuums?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 99*j - 8 + 98*j + 96*j - 298*j. Let l(u) = -5 - 2*u + u**2 - 4*u + 3*u. Give -5*i(w) + 8*l(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*b + 3 + 1, 0 = 5*b + 2*w + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2272 + 89 = -37*g. What is the remainder when 614 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8048 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + j + 50596 = 4*r, 3*j = -6. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0 + 3*l**2 - 4*l - 4*l - 5. Let u(v) = v**2 - v - 1. Let w(p) = -k(p) + 5*u(p). Suppose -1943*g + 1940*g - 9 = 0. Determine w(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*m = 3 - 17, 5*m = 4*n - 17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 519*m + 7. Let b(h) = -45*h - 1. Give a(j) + 6*b(j).\nAnswer: 249*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 16*w. Suppose 3*h + l - 42 - 4 = w, h + 4*l - 8 = 0. Calculate the lowest common multiple of 20 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3 + 25584*s**2 - 81817632*s = 0.\nAnswer: 0, 6396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -9*p**3 - 13*p**2\/2 + 6*p + 22. Let w(x) be the first derivative of j(x). Is w(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423652323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -740 + 6662\/9. Is -4\/9 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2, 5*c - 56 = 2*l - l. Suppose 2*o + 1 = c. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4304282*h + 4304282*h - 3*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x**3 - 650000\/3*x**4 + 0*x + 9*x**2 + 0. Let v be j(-5). Round v to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.5 (b) 3\/16 (c) -5 (d) -10712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 288019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 288484694, 288484693, 288484692, 288484691?\n\"Answer: -a + 288484695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4948438 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q + 24. Let y(u) = 2*u - 8. Let z(a) = -4*d(a) - 11*y(a). Let o be z(-9). Let v be 4\/(-26) - 134\/o. Solve -2*c + 3 + v = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 306?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-144) + (-4)\/18. Let o be 2\/(-8) - 2\/(3 - 5). Which is the nearest to 2? (a) o (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 39.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 8 = 2*a. Suppose a*k + f + 60 = 5*k, 84 = 3*k - 3*f. Suppose 0 = 30*v - k*v + 4. Solve -2*p + 4*w - 20 = 0, 4*p - 14 = -5*w - v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8637 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2182, 8649, 19428, 34519?\n\"Answer: 2156*m**2 - m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.31 - -0.273. Let w = -530.9701 - -531. Let h = w + n. Round h to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:05 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259670, 259666, 259662, 259658, 259654, 259650?\nAnswer: 259646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300) + sqrt(300) + 0 + sqrt(300) + sqrt(300) - ((sqrt(300) - (0 + sqrt(300))) + -3)) + -3)*-3 + 0.\nAnswer: -120*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*b = 4, 6*b - 6 = -3*x + 10*b. Suppose -5*w - 648 = -5*o - x*w, 0 = w + 1. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 15*y - 2. Let o be w(18). Let k = 82 + -30. Is o bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -15*s - 5. Give r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 3*l + 4*l**2 + 2*l**3 - 4 + 0*l. Does 6 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 497494 or 497508?\nAnswer: 497494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 5. Suppose -a = -2*z + 6, -y*z - 4*a + 11 = -17. Calculate the greatest common divisor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3) + 4 + -3 + sqrt(7) - ((0 + sqrt(847))*-6 + (sqrt(847) - sqrt(847)*-1*6 - sqrt(847)))**2.\nAnswer: 1 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l - 26 = 0. Let b = l + 15. Solve 0 = b*j - n - 0*n - 6, -5*j = 4*n - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(-6*(sqrt(1088) + 0 + -5 + -3) + 2).\nAnswer: -304 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 63654 and -0.224?\nAnswer: 63654.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4386, 8750, 13114, 17478, 21842, 26206?\nAnswer: 30570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-272980.\nAnswer: 54596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -982.2? (a) -5 (b) 1 (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -311*s + 1884. Determine k(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j**(-1\/2)\/j))\/j*j**(10\/9)\/j)\/(j*j**(-3)*j*j*j**(2\/27)))**(-44) assuming j is positive.\nAnswer: j**(-1826\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-73)\/24) + (-426)\/1136. What is the fourth biggest value in s, -1, 0.4, 60?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-7 - (-3 + 6) - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 575 + -748. Let z = w - -174. Which is the second biggest value? (a) 4 (b) -12 (c) z (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-42))\/(114\/(-266))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 105.9. Let s = i - 7. Which is the closest to s? (a) 2\/9 (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6557729 to the power of 1\/2, to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**3 + 218*v**2 - 6630*v\/7 + 5202\/7.\nAnswer: -2*(v - 1)*(7*v - 51)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 154561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.219 + -4.719. Which is the third biggest value? (a) 0.2 (b) 4 (c) h (d) 2\/9 (e) -2\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127 - -133. Let g be 0 - 8\/(-4)*3\/v. Which is the closest to 0.5? (a) 2\/5 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-7) - 339093\/(-399). Let s(x) = -1 - j*x - 849*x + 1698*x. Let h(k) = 4*k. Determine -h(a) - 5*s(a).\nAnswer: a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -262, -243, -208, -151, -66, 53, 212?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4564 and 1092.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 2*r + (-2 + 1 + 3)*(0 + 0 - 2*r) + 4 + 2*r - 4)*(328 + 126 - 143 + 838).\nAnswer: -1149*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/19)\/(o\/o**(-19)))\/(o**(9\/5)*o*o**(-2\/37)))**24 assuming o is positive.\nAnswer: o**(-1914408\/3515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582 + 713 = 3*u - 169*i - 217, 42 = -2*u - 4*i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 0.752581?\nAnswer: -4.752581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:07 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400304 (base 6) in base 16?\nAnswer: -13030","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:23 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 547453804?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -57*i + 283. What is the second derivative of -52*y - i*y**2 + 2559 + 5*y - 2561 - 4*y - 15*y**2 wrt y?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose 0 = 2*y - 4*t - 11 - 7, y + 6 = -t. What is the second biggest value in y, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 11*f**2 - 10*f + 2. Let n = -2 - 8. Let l be z(n). Factor -6*m**2 + m + 3*m**3 - l*m + 4*m.\nAnswer: 3*m*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 707824 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttmtmmtm. Give prob of picking 2 m and 2 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 118\/(-6608)*14*(-96)\/(-63)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/23 (b) 261\/6391 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**3 - 5*p**2 - 2*p + 5. Suppose 1 = -x - 3. Let q(r) = -2 + 58269*r**2 + r - 3*r**3 + 2 - 2 - 58267*r**2. Give x*h(j) - 10*q(j).\nAnswer: 2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72368 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 11*d = 0. Solve -3*p + 3*r = -d*p + 30, -5*r + 35 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 + 3)*(1518\/(-110))\/(-23).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1066235423*d**3 - 813196430*d**2 wrt d?\nAnswer: -6397412538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.43002 - -0.45. Let w = p + -0.02. What is w rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 49, 50, 43, 22, -19?\n\"Answer: -a**3 + 2*a**2 + 2*a + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - v**2 - 4*v + 3. Let j be g(1). Is (-4955)\/(-2 + j\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r + c = -342, -r - 5*c + 130 = 0. Let k = -803\/7 + r. What is the third smallest value in k, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8600 + -2452. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h - 161. Let u be y(-18). Is (-1277)\/((u + 3)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-22)\/(-3) + (-6 - -3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1253205*u**2 + 1253215*u**2 - 2 - 2506423*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 7*n + 2. Let p be c(-7). Let z be 274\/1*1\/p. Let a be z*-208 + -2 + -2. Round a to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10452202, 20904409, 31356616, 41808823, 52261030, 62713237?\n\"Answer: 10452207*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2470344, 4940680, 7411016, 9881352, 12351688, 14822024?\n\"Answer: 2470336*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-30)*25\/(-15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1 - 7 + 3 - 1 + 2*g. What are the prime factors of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -19*t. Let c(u) be the first derivative of 39*u**2\/2 - 932. What is -6*c(x) - 14*d(x)?\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1569*b - 423720 = -389*b - 2750*b for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 - 269. Find the common denominator of 11\/170 and (-68)\/g + 0 + 0.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 divided by -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 8:30 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8 - j + 4 - 4. Calculate the remainder when 19 is divided by i(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72516873 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -1\/5, -1, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94\/13 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*(sqrt(5) + sqrt(5) + 1 + -3) + (sqrt(720) + 1)*-2 + -1*sqrt(720) + 4)**2.\nAnswer: 336*sqrt(5) + 3956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 - 3*s**3 + 5*s**3)*(0*s + 0*s**2 + 5*s - 2*s**2) + (-1 + 2*s**3 + 1)*(-3*s**2 + 4*s**2 - 2*s**2).\nAnswer: -8*s**5 + 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - 9 - (-4 - -2). Does 19 divide h + (33 - (4 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h + 166 - 478. Let j = 84 - h. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362 divided by -3?\nAnswer: 362\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -20*b + 851. Suppose 8*g + 4*q - 9 = 3*g, 5*g - 3*q - b = 0. Solve g*z = -6*u + u + 5, u = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 2139?\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**2 - 3*y**2)*((2 + 2 - 5 + (3 + 3 - 5)*(0 - 1 + 3))*(-6 + 13 + 3) + (-2 + 0 + 0)*(-1 - 1 + 1) - 2 + 0 + 1).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (5 + sqrt(891) + sqrt(891)*1 + sqrt(891) + -2*sqrt(891)*2)**2 - -2*(sqrt(110)\/(sqrt(10)*2) - (sqrt(11)*-1 - sqrt(11))*2)*1.\nAnswer: -81*sqrt(11) + 913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(14\/35*(-45)\/(-54)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 7*v. Let p be (2 + 3)\/(1 - 18\/21). Suppose 3*g = p - 14. Let w(j) = 5*j**2 - 15*j. Let k(s) = g*c(s) + 3*w(s). Factor k(f).\nAnswer: f*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 543 + 194373*r - 2*r**3 - 66*r**2 + 35 - 194883*r.\nAnswer: -2*(r - 1)*(r + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 5, u: 5, z: 4, x: 1}. What is prob of picking 2 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/20 - 32*o**3\/3 - 24*o**2 - 3*o + 8. Differentiate x(u) wrt u.\nAnswer: -3*u**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r - 3 - 4*r + 4. Let c(p) = p - 18. Let x be c(14). Let g = -6 - x. What is q(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10 - 9 + 10 + p + 3. Let r be h(-10). Suppose 4*b = 6*v - v + 167, -r*v = -4. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 134*n - 1242. Give c(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 356.572 + -348.4. What is d rounded to one dp?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.034 + 45.034. Let q = b + -44.8. Let g = 6 + -8. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 5 (b) -594\/13 (c) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - -1. Let y(d) = d + 3. Let i be y(-3). Suppose i = -5*l + 42 + 33. What is the highest common divisor of h and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 47 - 199 = 0. Let j be o\/28 + (-3)\/7. Solve 2*i - j = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215*n**6 + n**2 - 25*n wrt n.\nAnswer: 25800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 163 and -0.939?\nAnswer: -153.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1520942 - -647383. Let z = 873559.50000064 + c. Let m = z + -0.5. What is m rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 844f + -c?\nAnswer: 8443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55259 is divided by 2298.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + 1. Let d be u(1). Let b = -32 + 32. Suppose b = -18*c + 12*c. Solve -d*p + o = 0, c = -2*p + p - o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318086940?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 3*l + 0 - 1\/3*l**3 + 0*l**2. Let x(g) = -2*g**2. What is d(x(j))?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*2*(-28)\/1428\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227096 is divided by 5280.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 310853.893204 and 20?\nAnswer: 310833.893204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*v*z - 211*v - 2*z**3 - 4*z**2 wrt z.\nAnswer: -9*v - 6*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -84*z**2 - 86*z - 5. Determine b(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 - 129. What is the lowest common multiple of l and ((-22)\/66)\/(1\/(-3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4227 + -3200. What is the remainder when v is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49869366 divided by 41\nAnswer: 1216326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175960 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1500)\/8*(-3 + (-56)\/(-24)) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = z. Let c = z + 4. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/18 - 7\/18. What is the closest to 2\/7 in -0.4, s, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -33. Let p = -38 - -68. Calculate the remainder when p is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101100 (base 2) in base 9?\nAnswer: -758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 478*w + 26944. Give d(529).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/180 + z**4\/18 - z**3\/6 + 3*z**2. Factor m(c).\nAnswer: -(c - 3)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09 - 14476807938.\nAnswer: -14476807937.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 5*u**2 - 13*u + 6. Let n be h(6). Let p = 41 + n. Find the second derivative of 19*a**3 - p*a**3 - a + a - 2*a wrt a.\nAnswer: 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 15*m + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -18*f**2 - 3 - 6 + 3 - 9*f. Let s be z(-6). Round s to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 + 0.9. Let k = t - -1.548. Let q = 22.148 - k. Round q to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1254853 divided by 47\nAnswer: 26699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -20*n**2. Let s(o) be the first derivative of 6*o**2 - 268. Give c(s(m)).\nAnswer: -2880*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2408 by 28.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21.1 - 20.8. What is the closest to -0.1 in 0.1, -2\/3, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218338624 to the power of 1\/2, to the nearest integer?\nAnswer: 14776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7\/4))**24)**15 assuming o is positive.\nAnswer: o**(-630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 483 - (-7)\/((-28)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 e when four letters picked without replacement from zezzzzzzzzeezz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (202\/(-70) + (-236)\/(-826))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**7)\/d)**(-49) assuming d is positive.\nAnswer: d**343","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*u**5\/2 - 22925*u**4\/2 - 242005*u**3\/2 + 421465*u**2\/2 - 89720*u + 11330 = 0. What is u?\nAnswer: -11, 2\/7, 1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 6, i: 3, h: 6, j: 1, l: 1}. What is prob of sequence ijzl?\nAnswer: 1\/24480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4985540707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 121\/968 + 23\/8. Solve 6*k - h = -3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + (2 + -1*sqrt(396) + sqrt(396))**2 - (0 + sqrt(396) + 1)**2) + (1 + (sqrt(396)*2 - sqrt(396))**2 - sqrt(396) - sqrt(396)) + 0.\nAnswer: -18*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.90541983 + 0.79457959. Let l = m + -1.7. What is l rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38434, 38444, 38454?\n\"Answer: 10*k + 38424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3776 - 1065 - 74 + 464 - 9*b.\nAnswer: -9*b - 4451","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 27 + 24. Let g = -5 - -6. Calculate the remainder when u is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51.79487 kilometers?\nAnswer: 5179487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2542 and 63\/2?\nAnswer: 2542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 2. Let v be n(0). Suppose 4*o + 4*p - 20 = 0, 2*o + 0*p = v*p + 2. Find the third derivative of -c**3 - 2*c**2 + 3*c**o + 6*c**2 wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4377 + -4339. What is the fourth smallest value in 0, 3, -0.3, 0.2, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 - z - 2. Suppose 0 = -2*j + 6*j - 4*p - 340, p + 409 = 5*j. Let u = -11 + j. Calculate the remainder when u is divided by k(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2010, 7879, 17666, 31377, 49018, 70595, 96114?\n\"Answer: x**3 + 1953*x**2 + 3*x + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {o: 3, i: 12, r: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 150 = 2*c, 6*c - 5*c - 85 = -i. What is the highest common factor of i and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -391\/39042 + -8\/241. Calculate the common denominator of -32\/45 and k.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glggggggggggg. What is prob of picking 2 g?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -45*y. Let i(g) = 4*g**2. Let j(r) = -r**2. Let m(t) = i(t) + 5*j(t). What is q(m(n))?\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10402.869 - -10412. Let l = -0.169 - i. Let q = l + 9. Sort 2\/13, q, 1\/4 in decreasing order.\nAnswer: 1\/4, 2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795733 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412077064 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose 0 = -w + 1 + k. Solve -w*l = -5*u - 21, -l - 3 = u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 12. Let b be ((-18)\/u)\/((-1808)\/1572). Let m = 24\/113 + b. Calculate the common denominator of 65\/2 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {v: 1, f: 9, r: 2, x: 1, c: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -3. Let x = -7 + m. Let d be 3\/(-3) + (1 - x). Is d bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-9) + (-40)\/18. Let c = -309 - -319. Suppose c*m - 3 - 17 = 0. Put 1, r, m, -5 in decreasing order.\nAnswer: m, 1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 24*k**5 - 111468*k**4 + 171404550*k**3 - 85433419737*k**2 - 2811147170949*k - 2725542235170 = 0?\nAnswer: -30, -1, 3117\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -39\/14, 2, 4\/3, -1\/7, 8, -5 in decreasing order.\nAnswer: 8, 2, 4\/3, -1\/7, -39\/14, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = t. Suppose 3*p + 255 = t*p. Let s = 5 + 29. What is the greatest common factor of s and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + p**2)*(27*p**3 - 3 + 0 + 3).\nAnswer: 27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -11. Let k(x) = -35 - 20 - 3*x - 5*x - 8. What is the remainder when b is divided by k(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(252)*-2*-2 - (2*sqrt(252) + -1)) + 4*(sqrt(252) + -1 + sqrt(252) + 0 + sqrt(252))*-6)**2.\nAnswer: -16800*sqrt(7) + 1235200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 21*k**3 - 13*k**2 + 13*k - 13. Let c(o) = -o**2 - 12*o**3 + 4*o**2 + 7*o**3 + 3 - 3*o. Let f(l) = -26*c(l) - 6*t(l). Find n, given that f(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 98.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -10 - (-8 - (6 + -6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 0*k - 1\/60*k**5 + 0*k**4 - 5*k**2 + 0*k**3 + 0. Let t(l) be the third derivative of -l**4\/4 + 2*l**2. Determine x(t(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 3:44 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnnnnnnwnnnn. Give prob of sequence wnnn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**3 - 11*i**2 + 8*i + 11. Let u(l) = -5*l**3 - 6*l**2 + 4*l + 6. Let j(z) = -6*n(z) + 11*u(z). Find the second derivative of j(v) wrt v.\nAnswer: 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4676445630 rounded to the nearest 1000000?\nAnswer: 4676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000111011001101 (base 2) in base 13?\nAnswer: -1b2c25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -8, 91 in ascending order.\nAnswer: -8, -6, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(16)*1)\/(sqrt(72) + (sqrt(72) - (-6*(sqrt(72) - 1*sqrt(72)) - sqrt(72))) - sqrt(72)))**2.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*d = -71*d + 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 34372, 8, -1.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((2*sqrt(77))\/sqrt(7)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 16, -7 = q - 2*g. Let d be q*-5 - (-48)\/8. Let j be d\/4 + (-12)\/(-720). Are -1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 - -1101011101?\nAnswer: 1100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44)\/sqrt(4) + -5)**2 - (sqrt(99) + 0) - ((-2*sqrt(11) + -4 - sqrt(11)) + (sqrt(11) - (2*sqrt(11) - sqrt(11))*-4))**2)*-4.\nAnswer: -12*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + m + 20. Let y = -88 - -93. Let s be u(y). Find r, given that 0*r + s + 3\/7*r**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-189)\/28*(-8)\/3. Suppose -4*a + 36 = 4*i, 0 = a - 0*i - 2*i - f. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -55235 - g + 55235. Let o(m) = m**3 - 2*m**2 + m + 1. Let h be o(2). Determine q(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 8. Let a = h - 6. What is the nearest to 0 in -2, -2\/3, a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(4 + -1*sqrt(243)*3 + -2 + sqrt(243) + -1)**2.\nAnswer: -216*sqrt(3) + 5839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3\/1)\/(39\/1183)*44\/286\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1081*i**4 - 1563 wrt i?\nAnswer: 4324*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380310 = -712*z + 386006 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 198, 378, 574, 792, 1038, 1318, 1638, 2004?\n\"Answer: s**3 + 2*s**2 + 167*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 17. Let r(x) be the second derivative of x**5\/4 + x**4\/12 + 2*x**2 - x. Let f(j) = -j**2 - 6*j**3 + 0*j - 5 + j - j. Calculate o*r(i) - 4*f(i).\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*c - 696 = -160*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 891.3 take away 65829219227?\nAnswer: -65829218335.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*b**2 - 28*b + 7 + 4 - 1 + 4 - b**3 - 12 as j*b**2 + p*b + r*b**3 + f and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21.7 from 4.3.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -140*x**2 + 51*x. Let l(t) = 2*t**2. Give w(l(d)).\nAnswer: -560*d**4 + 102*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4003 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, 0 in ascending order.\nAnswer: -9, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84375545 is divided by 193?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35826.6ng in milligrams?\nAnswer: 0.0358266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f + 5*f + 10 - f - 21 with respect to f.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + -121 + 50 + 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 5:03 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-12) - 2\/3. Let z = -20 + 41\/2. Let y be (2\/6)\/(1\/3). What is the nearest to z in -1, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 + 32*d**2 + 168*d + 288 = 0.\nAnswer: -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 572 (b) 0.3 (c) -0.5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -167 + (-7 - -151) - (-2 - 138)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 347 - 347.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {e: 9, w: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c + 6. Let v(h) = 0 + 1 + h + 3 + 1. Let o(j) = -2*k(j) + 3*v(j). Calculate o(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69, 74, 87, 108, 137?\n\"Answer: 4*r**2 - 7*r + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 3, g: 3, q: 4}. What is prob of picking 1 j and 2 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 4*n - 2*q + 7, -5*n - 3*q = 14 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 30428, -19445.\nAnswer: -19445, -2, -1, 30428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/6 and 626\/(-60) + 6\/18.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 276.\nAnswer: 275.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*f**2 - 100*f**2 + 48*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 2:00 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30520 is divided by 1545.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 11:05 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.62024 rounded to two dps?\nAnswer: 4.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 13*i**2 + 6*i + 5. Let m be k(6). Suppose -5*v = -4*j - 549, -5*j = 5*v - m - 76. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*z + z - 5*f, 0 = z - 5*f + 6. Solve 4*c = c + z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007176964 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 8) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 0. Let q be 2\/u + (-76)\/(-48). Let r = -0.1 + 0.6. What is the nearest to 0.2 in q, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-2)\/(-4))*(-136)\/(-51)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 948 - 914. Calculate the remainder when 439 is divided by v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421890203.\nAnswer: 3, 473963401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 51 + 66 = 5*z, 4*z - 87 = -3*h. Let b be (z\/(-32))\/(1\/(-4)). Suppose b*d = -0*d + 12. What is the smallest common multiple of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*v - 6, -3*a - 22 = v - 2*v. Suppose -494*k = -340*k. Solve k = -v*s + 10*s - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1)\/q)\/q*q)\/q**1)**(-5) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1 + 4*l + l**2 - 3*l**2 + 5 + 3*l**2. Let p be m(-3). Let k = 0.1 + 0. What is the smallest value in -2, p, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2935 and 350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*r**3 + 14*r**3 - 27*r**3 + (r - 4*r + r)*(28*r**2 + 33*r**2 + 13*r**2) - 3 + 2*r**3 + 3 + r**3 + 5*r - 5*r.\nAnswer: -172*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/27)\/((-1)\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12599019.\nAnswer: 3, 401, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from ceqljljlelpc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/27 - 248\/(-72). Suppose -32 = -u*f + o, o - 9 + 1 = -f. Solve 0 = -3*l + 13 - f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1247, -1235, -1223?\n\"Answer: 12*j - 1259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from daabkkx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4614 is divided by 210.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 8. Let m = n - -3. Calculate the common denominator of 13\/6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmamaaiimimmaami. What is prob of picking 2 i and 1 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1716016.239 seconds to weeks.\nAnswer: 2.8373284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714.1035ns to seconds.\nAnswer: 0.0000007141035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 1\/18*v**3 - 7*v + 1\/12*v**4 + 1\/20*v**5 + 1\/90*v**6 + 0 + 0*v**2. Suppose n(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -306.6 (c) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:41 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 40. Let c = 2.7 + 0.3. Let d = c - 5. What is the biggest value in d, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 52. Suppose 5*q - 54 = a. Let j = 43 + -23. What is the smallest common multiple of q and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/3))\/(v**0\/v))\/(v\/(v*v*v*v**(-1\/4)))**(5\/3) assuming v is positive.\nAnswer: v**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 982*y - 2892. Give a(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + 26?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/24 + 4*o**3\/3 + 2*o**2. Let t be d(-8). Round t to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/m**(2\/53))*m**(-19) assuming m is positive.\nAnswer: m**(-1005\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 38. Which is the closest to 1? (a) -0.2 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 2 + 2*i + 2*i)*(-14*i**3 + 12*i**3 - 13*i**3) to the form v*i**2 + k*i**3 + w*i**4 + d*i + t and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -326, -23 in increasing order.\nAnswer: -326, -23, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nggn when four letters picked without replacement from {g: 3, n: 17}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 267*v**5\/7 - 984*v**4 + 41049*v**3\/7 - 14376*v**2\/7 - 77268*v\/7 - 14688\/7 = 0. Calculate v.\nAnswer: -1, -18\/89, 2, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**2 - 53*b + 11. Calculate the remainder when h(6) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 8*x + 20. Give z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919423738?\nAnswer: 2, 19, 23, 2196137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2493 and 144.\nAnswer: 39888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)\/(c\/c**(3\/5)) assuming c is positive.\nAnswer: c**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43000 = -3*j + 13*j. Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*5.7\nAnswer: 1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5 = 2*c, -7*k - 4*c = -3*k - 16 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 18*f + 61. Let a be v(-4). Let r = -11 - -9. Put -3, r, 0, a in increasing order.\nAnswer: -3, r, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 8.3. Let i be 14\/6*(-374)\/(-6545). What is the closest to 0 in 2, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 2*g = -81. Let p = -542 + 641. What is the highest common divisor of p and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {t: 1, v: 1, x: 6, a: 7}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -16, 0.1, -24, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 3 - 4*h**2 - 3. Let s(c) = 2*c. Determine b(s(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**2 - 2*h - 4. Let z(y) be the first derivative of -y**2\/2 - 66. What is -r(f) - 5*z(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2280\/(-96) - -26)*(-3 - 2\/2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 9*h - 13. What is the remainder when 59 is divided by l(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 23850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.2 (b) 4087 (c) 0.01 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21323517*t**3 - 335*t**2 + 7865*t?\nAnswer: -127941102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 98.\nAnswer: -4, -0.1, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -507586108*p - 381489880 with respect to p.\nAnswer: -507586108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3041*p + 7727*p - 599966 - 778202 = -10975*p for p.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/3)\/(2*33\/(-22)). Let n(k) be the second derivative of -17\/3*k**3 + 0*k**2 - 16*k + q. Let t(x) = -x**2. Give t(n(j)).\nAnswer: -1156*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11661316 + -13?\nAnswer: -11661332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve -629*a = 249*a + 21072 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, l: 1, p: 2, c: 1, f: 2}. Give prob of sequence fufu.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*a**2 + 8 + 30 - 86 - 14*a - 38*a.\nAnswer: 4*(a - 4)*(4*a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + sqrt(110)*-3)*-1)\/(sqrt(40)\/(sqrt(4)*3)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**7\/840 + 3*c**5\/20 - 5*c**4\/12 - 3*c**2. Let q(h) be the second derivative of p(h). What is the derivative of q(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 4*d**3 + d**5 + (0 - 3*d**4 + 0)*(-3*d - 2*d + 8*d) + (d**3 - 3*d**3 + d**3)*(-d**2 - d + d) + d**5 - d**5 + d**5.\nAnswer: -6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1020)*51)\/((-1)\/(-12))*(-60)\/306?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (6*(sqrt(320) + 1 + 3 + -1*-1*sqrt(320)))**2).\nAnswer: 13824*sqrt(5) + 139983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 15*u**2 + 131*u + 251. Let q(y) = 3*y**2 + 26*y + 50. Let a = -12 - -1. Let l(m) = a*q(m) + 2*c(m). Factor l(x).\nAnswer: -3*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2\/411, 3 in ascending order.\nAnswer: -20, 2\/411, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -539, 2, -2\/9, -0.095, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55804 + -18397. Suppose 4345 = r - 3*l + h, 2*l + 8 = 0. Let j = -7074 - r. What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/15 - 2*n**4\/3 - 22*n**3\/15 + 22*n**2\/5 - 12*n\/5 = 0. Calculate n.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 + 30*n**2 + 75*n. Let j(c) = -41120*c**2. Give p(j(y)).\nAnswer: 3381708800*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9603859423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(9\/5)\/l*l**(-3\/44)*l*l)**(2\/21) assuming l is positive.\nAnswer: l**(601\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 485 and 7950.\nAnswer: 771150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1844.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160 - 252 = -103*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, d: 2, w: 2, r: 1, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 22, 0.14, -3?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 - (-56)\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 41 = 5*x - 43, -2*u = 3*x - 60. Let b(n) = 16 + 4 + 4*n**2 - 5*n**2 + 17*n. Let t be b(x). Which is smaller: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2*2\/6. Let p = -56.3 - -56.2. What is the closest to 0 in s, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - -44) + -1 + -2 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 11, -7, 1\/4, 816, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least as big as 1.0736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*r + 14, 0 = 5*b - 7*r + 3*r - 29. Suppose b*x - 11 = 4. Solve 5 = -x*y - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -159*t - 800. Let b be o(-5). Put 2, -148, b in descending order.\nAnswer: 2, b, -148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316.11 + -0.89. Let t = k - -314. Which is the closest to -2\/3? (a) -0.3 (b) -8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -461\/3, -0.0722?\nAnswer: -0.0722","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -387*13\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39389*0.07.\nAnswer: -2757.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*d + 3 = 6*d, -3*l + 2*d = -9. Suppose 0*v - l*v - g + 187 = 0, -3*v + 4*g = -167. Suppose -59 = 6*p + v. Is p greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from denmd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 1, 0, 5.\nAnswer: -36, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*k + 5257 - 19733 = 542*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n)**(1\/8)*n**(3\/8)\/n*n*n**(-1\/16)*n assuming n is positive.\nAnswer: n**(21\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 402, 513, 624?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 152\/475 - ((-12)\/(-4) - 7). Let i = b + -988\/275. Factor -26\/11*g**2 - 2\/11*g**4 - i - 12\/11*g**3 - 24\/11*g.\nAnswer: -2*(g + 1)**2*(g + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, -12, -311, -1072, -2493, -4772, -8107, -12696?\n\"Answer: -33*p**3 + 66*p**2 - 2*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -18*w + 1. Let u(l) be the second derivative of -l**5\/60 + l**3\/6 - 53*l**2\/2 - 37*l. Let z(f) be the second derivative of u(f). Give z(a(m)).\nAnswer: 36*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 5*f**3 - f**3)*((-4*f**2 - 2*f**2 + 5*f**2)*(0 - 2 + 0) - 42*f**2 + 21*f**2 + 25*f**2 + 4*f**2 - 7*f**2 - 5*f**2).\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 31*s - 3 + 51*s + 61*s + 14*s in the form n*s + u and give n.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.076 + -53.924. Let p = s + 54.0096. Let l = 0.013 - p. Round l to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 g, and 1 b when four letters picked without replacement from cggsgfb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 71*h - 5*r = 42*h + 115, -3*h + r + 8 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 104660791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -527 + 570. What is the remainder when 505\/4 + 9\/(-36) is divided by c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 44 = -16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1996 + 0.258127.\nAnswer: 1996.258127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**5\/3 - 1024*g**4\/3 + 63172*g**3\/3 + 21400*g**2 = 0.\nAnswer: -1, 0, 107, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1117 by -25.\nAnswer: 1117\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0.1, -333, -0.09, -4 in ascending order.\nAnswer: -333, -32, -4, -0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4765, 7961, 16631, 33511, 61337, 102845, 160771?\nAnswer: 237851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14039717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 - 1) + -2)*-3. Suppose 2*h + h + 13 = 5*t, -k*t = -15. Suppose -r + 15*a - 14*a + 4 = 0, 20 = -5*a. Solve r*u - 8 = -h*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121200012 + -122?\nAnswer: 11121122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 199815.799819 + -199714.513. Let i = 97.28682 - r. Let q = i + 4. What is q rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 20\/(-6). Let u = -21 + 24. Suppose -3*b + 0*b + 7 = -s*k, u*b = -3*k. Put 2\/3, b, 0.4 in increasing order.\nAnswer: 0.4, 2\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47913752400 rounded to the nearest 1000000?\nAnswer: 47914000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5023253 + -114?\nAnswer: -5023367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 2. Suppose 4*q = -2*i + 2, 1 = 8*q - 11*q - 2*i. Differentiate -z*n**3 - 7*n**3 + 0*n**q - 3 + 5*n**3 wrt n.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/((-2538)\/(-91650)) + -1*(-50)\/5.\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7355 = 3*v, -3*v = 82*i - 87*i + 18401. What are the prime factors of i?\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + l + 4*l + 29 = 0, 0 = -4*h + l - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322504.9 - -322505. Let r = -0.5 - -1. Which is the nearest to -1\/3? (a) r (b) -4 (c) l (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((462\/700)\/33)\/1*-12.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = -15. Suppose 2*n + q = 7*n. Let i(s) = s**3 - 8*s**2 + 8*s - 4. Calculate the remainder when n is divided by i(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1462, -0.015, -2\/15 in increasing order.\nAnswer: -2\/15, -0.015, 1462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -36. What is the nearest to -1 in 0.1, 0.02, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, -9.54 in decreasing order.\nAnswer: 3, 2, 0, -9.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Suppose 4*x = -2*m - 0*x - 4, -4*m - l*x + 7 = 0. Let r(b) = 6*b + 2. Let z be r(7). Calculate the greatest common factor of z and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 o when four letters picked without replacement from oaoooooaaooooooooo.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 3. Suppose -4*v - 3 - 3 = -3*j, -2*j = 4*v - 4. Let z be u(v). Let s(l) = l**2 + 4*l. Calculate s(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001372886 to 7 dps.\nAnswer: -0.0001373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -5 + -2 - (-9)\/2. Let p(j) be the first derivative of 5\/3*j**3 - 2 - j - 1\/4*j**4 - q*j**2. Determine p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5333255.\nAnswer: 5, 1066651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogg when three letters picked without replacement from {x: 9, p: 3, o: 1, g: 4, h: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -1 - 3 - 72\/(-6). Suppose -m*y + 7*y + 786 = 0. Suppose 0 = -a - t - y, 2*a - t + 528 = -2*t. What is a rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 8*l + 5. Let z(n) = -4*n + 7. Let c be z(3). What are the prime factors of u(c)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a**2 + 5*a. Let r(l) = 202*l - 201*l + 0 + 1 - 1. Calculate d(u) - 5*r(u).\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4207*v**5 - 542*v wrt v.\nAnswer: -84140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 + 2008916*n - 504467936882 = 0. Calculate n.\nAnswer: 502229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144471 - 22.2.\nAnswer: 144448.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48244328.\nAnswer: 2, 11, 281, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1228739, 1228728, 1228717, 1228706, 1228695?\nAnswer: 1228684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 2 + v**3 - 3*v**2 + v**2 + 0*v**3 - 2*v. Give y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**3 - 653*r**2 + 1307*r**2 - 654*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n = -101*n - 48*n + 2800 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 944?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8 - (-187)\/(-22) - 9975\/(-6)?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:05 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/(-7) + 3*4\/(-28). Solve -f*d + 18 - 2 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 110 = -7*w. Let f = 27 - 15. Calculate the remainder when -3*(-2 + (-184)\/f - 3) is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + l**2 + 0*l**2)*(0*l + 8*l - 3*l)*(7 + 4 + 9) to n*l + m + u*l**2 + g*l**3 and give g.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 17) + 34 + -30?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30.1 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 240*o**2 + 1563*o - 2190.\nAnswer: 3*(o - 73)*(o - 5)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1111.1 - 1054. Let q = 57 - p. What is the second biggest value in q, -2, 0.08?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - -15035523?\nAnswer: 15035442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*z - 1255*z + 43888 - 9616 = 0 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1503976 + 1507156 = -159*g for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 33.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mgmptgtpm. Give prob of sequence mmmp.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from wgcccg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30774 is divided by 1709?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 113 + 156*d - 996*d - 607 - 125*d**2.\nAnswer: -5*(d + 1)*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5*l**2 + 486*i**2*l**3 - 7*i*l**3 - 14*i*l**2 wrt i?\nAnswer: -40*i**3*l**2 + 972*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4039\/4 (b) -0.33 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - (-4)\/(-2))*(-308)\/(-44). Let r = 10 + -6. Let i(s) = s**3 - h + 16 + 4*s**2 + 2*s - r. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1449)\/2576)\/((-99)\/(-110)*(-2)\/(-6)*-5)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654245 is divided by 59476?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-624)\/(-882) + 4\/(-6). Is k less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (0 - (-2 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*h**3 + 6634*h**2 + h - 1995709 wrt h?\nAnswer: -117*h**2 + 13268*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -974, -1403, -1830, -2255?\nAnswer: -2678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 13. Suppose 59 = 2*j + 5*p, -30 = -4*j - 4*p + 58. Calculate the remainder when q is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*f + t, -3*f = -t - 216 + 224. Let v = 10 - 6. Let d be ((-16)\/140)\/(v\/10). Which is the nearest to f? (a) 2 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1512, 1513, 1514, 1515, 1516?\n\"Answer: v + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -1)\/(2\/(-4)). Suppose -6*n + n + 365 = 0. Suppose 3 = t*w - n. Calculate the greatest common divisor of w and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 206.99569 + -207. What is j rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o. Let u(a) = 17*a. Let w(g) = 11*i(g) - 6*u(g). Let c(k) = 255 + 5*k**2 - 255. Calculate c(w(s)).\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17604125 or -35208247\/2?\nAnswer: -35208247\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*6*(sqrt(17)*-5 + sqrt(17) + sqrt(17)) - -5*(sqrt(153) + 0)) + 1)**2 + 1.\nAnswer: 102*sqrt(17) + 44219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22686714 by 18.\nAnswer: -1260373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3 (b) 29 (c) 0 (d) -2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/11634 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 22*x**3 - 14*x**3 - 3*x**2 - 45*x**4 + 11*x**5 + 16*x**5 + 13*x**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 251046275?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 242.870022ns?\nAnswer: 0.000000000002810995625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from nnqqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.075362.\nAnswer: 0.0226086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/146440 and 53\/200.\nAnswer: 732200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198174190.\nAnswer: 2, 5, 19817419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 - 73. Let i(z) = 10*z - o*z - 4*z. Let g(w) = 2*w. Determine g(i(m)).\nAnswer: -62*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*h + 2*j, h = j + 4*j + 9. Calculate the remainder when 40 is divided by 2 + (-5 - h) - -16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - ((-11 + 24 - 1) + -4 + -21)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 3. Suppose 0 = -c - 1, 3*a = -3*c - 6 - k. Does 15 divide (a + 34\/(-6))*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 8, 2, 0.01 in decreasing order.\nAnswer: 8, 2, 0.01, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-770)\/350 - (1 - 3))\/(8\/15)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 2*u**3 - 2*u**4 - 2 + 0*u**2 + 0*u**2 + 0*u**3 to t*u + f*u**3 + m + i*u**4 + j*u**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 593*p**3 - 1720*p**3 - 1552*p**3 - 628*p**3 - 10585*p + 10586*p to the form y*p**2 + r*p + i*p**3 + d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7ea49 - e7?\nAnswer: -7eb41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7552 + 1837 = -q. Calculate the remainder when ((-4)\/(-6))\/(15\/q) is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6685\/4 + 1661. Suppose -3*j + 4*o = -208, -j + 0*j = 4*o - 64. Let x = j + -555\/8. Find the common denominator of i and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0407708195 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3812 = -14*z - 4*w - w + 4116, -79 = -3*z + 2*w - 20 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3 + (-427)\/(-183). Put -2, -1, q, -43 in increasing order.\nAnswer: -43, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 4*c + 40 - 56, -2*n + 3*c = 22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2118960.\nAnswer: 2, 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 105*p - 108*p + 9, 0 = -4*k + 4*p - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -5*l**4\/12 + 11*l**3\/2 - 6*l**2 + 91. Calculate p(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329*s**4 - 1253*s**2 - 42 + 1252*s**2 - s**3 + 327*s**4 to the form m + q*s + a*s**4 + r*s**2 + z*s**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-2)\/12*162\/12. Let p(o) = -o**2 + 8*o + 4. Let a be p(h). What is the third biggest value in a, -0.4, -1, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((60\/9)\/(-4))\/(14\/(-42)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5923 + 9439. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3204 and 122553.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.239 to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 4*m**2 - m**2 + (-m + 2*m - 2*m)*(-m - 4*m + 3*m) + (0*m - 5*m + 2*m)*(95*m + 33*m + 59*m).\nAnswer: -557*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 22. Let u be ((-10)\/(-4))\/(l\/10). Find the first derivative of -2*w**2 + u + 2 - 6*w + 6*w wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*4*6)\/((sqrt(90)*-3 - sqrt(90))\/sqrt(9)) + -2.\nAnswer: -6*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -9*s - 268. Give r(-35).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**17)**33)**(-2\/81) assuming s is positive.\nAnswer: s**(352\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-6))*(f*(f*f\/f**(3\/8))\/f)\/f*(f\/(f\/(f\/f**(2\/5)))*f)**28 assuming f is positive.\nAnswer: f**(2057\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -5*z - 4, 4*z + 13 - 3 = t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1231 (base 5) to base 16.\nAnswer: -bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*c**2 - 58*c**2 - 43*c**2.\nAnswer: -164*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 - (191 + -130) - -206?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10080 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -15, -285 in descending order.\nAnswer: 5, 1, -15, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4271 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 81*r - 335. Let h be t(85). Put -3340, 3, h in decreasing order.\nAnswer: h, 3, -3340","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 4*z - 13. Let n(d) = -5*d**2 + 3*d + 14. Let j(l) = -5*n(l) - 6*q(l). Let s = 11 - 19. Determine j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x - x + 5 + 2*x + 2*x - 2*x. Let d(l) = 0 - 4 + 3. Let r(m) = -4*d(m) - s(m). Find the first derivative of r(a) wrt a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114805138*i**3 + 8881671.\nAnswer: 344415414*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 161 + -188 - (-8 - 0)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*f - 254*f + 591*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 17*y + 9 = 0, -7103 = 4*p - 5*y. Which is smaller: p or -1773?\nAnswer: -1773","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n + 105. Let u be a(4). Solve 5*o - 2*i - u = 0, -12 = -0*o - 4*o - 2*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 0.0097 in descending order.\nAnswer: 2, 0.0097, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 256958 and -78.1.\nAnswer: 256879.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19225 + 19354 - (-8513)\/(-66)\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -435*a**3 + 3*a**2 + 2968*a - 2971. Determine l(1).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33948?\nAnswer: 2, 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20846*t + 90681?\nAnswer: 20846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1197 + 62*v + 1197 + 59*v - 26*v + 6*v - 4*v - 3*v + (-3 + 6 - 4)*(-3*v + 3*v - 3*v).\nAnswer: 97*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1795719 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + (-7)\/2*-10. Is 142\/5 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -18) + 1 + -7 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/150 - v**4\/20 - 4*v**3\/15 + 9*v**2. Factor n(l).\nAnswer: 2*(l - 4)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/540*10*-9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-4))\/21 - 864\/224?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 5*c - 2. Let x be w(-3). Suppose -b = 2*g - 62, -x*b = 5*g - 5*b - 148. What is the greatest common divisor of g and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 228, 235, 230, 207, 160, 83, -30?\n\"Answer: -c**3 + 14*c + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 6, 5, 10, -4, 9 in descending order.\nAnswer: 80, 10, 9, 6, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 2, n: 4}. Give prob of picking 2 n and 1 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 3:21 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -6 (b) -12 (c) 4 (d) 17 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4497 - 4487. Let w = 253 - 145. What is the remainder when w is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*i + 1066 = -9*i + 1994 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 - 5*i**2 + 9*i - 10. Let n be d(2). Let b(x) = -2*x + 4. Give b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13962*u**2 + 78889157*u - 78889157*u + 10363*u**2 in the form o + b*u + r*u**2 and give r.\nAnswer: 24325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 79*u = 2529, -4*x - 12878 = 4*u - 13010 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.087842073 + -117.1972.\nAnswer: -117.109357927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 170, 137, 68, -49, -226?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**3 + q**2 - 201*q + 8. Let b(j) = 17*j**3 + 5*j**2 - 803*j + 34. What is -3*b(v) + 13*z(v)?\nAnswer: v**3 - 2*v**2 - 204*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2094812333.\nAnswer: 53, 39524761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 2*p + 14, -3*r - 12 = 3*p - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 3 - 3 + (a + a - 3*a)*(-2 + 3 - 2) + 5 - 5 + a - 3*a + 3*a + a + 1 - 1 - a + (-1 - 3 + 6)*(a - a - a))*(3 - 3 + a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 904994\/11 + 2\/(-11) - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) - 2\/(-3). Let p be 5 - (q - 3\/(-3)). Suppose -21*g + 14*g + 14 = 0. Solve w - 3*w = -g, p*w = r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/60)\/(2*(-2)\/12). Calculate the greatest common divisor of f and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/161015 and -37\/202.\nAnswer: 32525030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-81)\/144)\/(6\/(-8)). What is the smallest value in -4\/7, q, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(3 - 162\/108)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 12 = -b - 0*p, b + 4 = -3*p. Suppose 0*f - b*f = -348. Suppose -f = -7*z + 22. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + 0 + (23 - 23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38\/3 - -13. Let k = -551.8 + 552. Let y = 3 + -3.5. Which is the second biggest value? (a) y (b) k (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/72)\/((-2)\/(-18)) - 28\/4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 55802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Let q = -80 - -83. Suppose q*a = -0*a - v*n + 9, -n = 4*a - 25. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001111 + -1011201?\nAnswer: 212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5b6d5 + 2?\nAnswer: c5b6d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 30 = 4*h, 1040*h + a = 1043*h + 33. Put -3, 9, -2, -5, h in decreasing order.\nAnswer: 9, -2, -3, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3010, -4 in descending order.\nAnswer: 6, -4, -3010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 734 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549a1 (base 14) in base 15?\nAnswer: 40ae1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 4*h + 184, 5*h + 118 = 2*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-56) - (-26924)\/(-889)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 22133 - 4103. Find the first derivative of -902*y**2 - 904*y**2 + p*y**2 + 158 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3020?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.21. Let a = k - 1.99. Suppose 4*c + c + u - 10 = 0, -4 = -2*c + u. Put a, c, 1\/3 in decreasing order.\nAnswer: c, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3 - 13225*c**2 - 13272*c**2 - 252*c + 26246*c**2 = 0.\nAnswer: -1, 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxwacxxwxxaxazax. What is prob of sequence awzc?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 5*w + 0*w + (22*w - 51 + 51)*(-3 + 2 + 0).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**3 + 10*c**2 - 27*c - 2*c**3 + 58*c - 27*c in the form b*c**2 + h + i*c + y*c**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3897*z - 7797*z + 3903*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-146 - -17))\/(-12).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 19*l - 627. Calculate i(38).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 >= -2988473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 9*t**2 - 12*t + 9. Let n be p(-10). Suppose 3*k + 2*k + 75 = 0. Let h = n + k. Calculate the lowest common multiple of 8 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(11712\/(-144)) + 16\/(-12)*3?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28770646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3f (base 16) in base 12?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtpon. What is prob of picking 1 x and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1345528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - (4 + sqrt(475))**2)*-4 - (sqrt(475) - (sqrt(475) + (2 + sqrt(475))*-1 - sqrt(475))))*-5.\nAnswer: -9810 - 650*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266069536 divided by -7768.\nAnswer: -34252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4 + 7 + (2 - 1)). Let p = -422 - -422.5. What is the closest to o in 0, p, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 22. Let j be q*(8\/(-12) + 2). Let s = 6 + j. Let u(i) = -4*i + 3. Determine u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*q - 11*q + 27 = 0, 0 = -4*d - 3*q + 57. Solve -479*v + d = -477*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o**2 - 206*o**2 + 5 + 897*o - 897*o in the form k + x*o + z*o**2 and give z.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1424 (base 5) to base 3\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 61475\/100 - 2\/(-8). Let m = i + -4293\/7. Solve -9\/7*n + 9\/7*n**3 + m - 15\/7*n**2 + 3\/7*n**4 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**3*r**3*z - 2*q**3*r**3 - 7*q**3*z + q**2*r**2*z - q**2*z - q*r**3 - 4*r**3*z wrt q.\nAnswer: 36*r**3*z - 12*r**3 - 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*(a**(-8)\/a)\/a)*a*a)\/a*a\/(a*(a*a**(-1\/2))\/a)*(((a**(2\/7)\/a)\/a)\/a)**(3\/8) assuming a is positive.\nAnswer: a**(699\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13716? (a) -1 (b) 6 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0 + 1 + 1 - 3*s. Let u = -430 + 433. What is r(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + g - 745. Let w(h) = -8183*h + 3. What is w(c(y))?\nAnswer: 24549*y**2 - 8183*y + 6096338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/108 - 3\/54*502.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 5*d**2 - 12*d - 11. Is r(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-23625)\/(-6)*21392\/(-21). Round v to the nearest one hundred thousand.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30449900 divided by -608998\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.960015899 rounded to 5 dps?\nAnswer: 0.96002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -1736201.\nAnswer: -1736204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 31*o**6\/30 + 11*o**3\/6 + 26*o. Find the second derivative of t(d) wrt d.\nAnswer: 372*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -88*j + 92*j - 38, 5*p - 2*j = -40 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 171, 486, 975, 1638, 2475, 3486?\n\"Answer: 87*d**2 + 54*d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6185659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvv when three letters picked without replacement from bvvvvbvbbvvsb?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*t - 6. Suppose -47 = -5*y + t. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = 261139*n - 261126*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 31 (b) 5 (c) 19\/53 (d) 1 (e) 1\/5 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 83*p**4\/24 + 45*p**3\/2 + 319*p**2. List the prime factors of n(18).\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**3 + 4*d**2 + 4*d + 8. Let b(v) = -4*v**3 - 5*v**2 - 5*v - 8. Let g(i) = -4*b(i) - 5*l(i). Give g(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -699, -1442, -2185, -2928, -3671, -4414?\nAnswer: -5157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/28 - (-2)\/(-7). Solve 3*f + z*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*a**3 + 4 + 0 - 259*a**2 + 259*a**2 to the form j + i*a**3 + x*a**2 + p*a and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2904) - (sqrt(2904) + sqrt(2904)*-2))\/(sqrt(80)\/sqrt(250)))**2 + -1.\nAnswer: 36299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45429503515.7 - 45429503333.500002931. Let g = -182.2 + b. What is g rounded to seven decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198 - -200. Which is the closest to o? (a) 0 (b) -0.1 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dohhhdohooh. What is prob of sequence hddo?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w = 3*p, 0 = -3*w - 3*p. Solve w = 7*u - 11 - 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 69557552.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 274610*s + 95445 wrt s?\nAnswer: 274610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9775*y**2 + 17813*y**2 - 6354*y**2.\nAnswer: 21234*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(14\/5)*d*d\/((d*((d*d**(-3))\/d)\/d)\/d)*d assuming d is positive.\nAnswer: d**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1073368540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -537.5 - -365. Let i = 29.5 - m. Let c = 211.1 - i. What is c rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.162 and 0.08?\nAnswer: -0.01296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2435205 divided by -39.\nAnswer: -811735\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 580466051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4940 (base 12) to base 9.\nAnswer: 12283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*a = 446*a + 1028*a + 1229*a - 34680 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*y + 0 = -5, i - 4*y + 11 = 0. Suppose 0 = 3*g - 5*k + 3, g - 10 = -3*k + 3. Let m = g - 6. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30081 and 98013.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1240 - -1240. Let y(x) be the first derivative of -12 - 13*x + d*x**3 - 1\/4*x**4 + 0*x**2. Find the first derivative of y(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) 34 (c) -0.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (40576\/(-1902))\/(((-32)\/(-12) + -2)\/(-4 + 2))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 2. Let s be c(8). What are the prime factors of (-332)\/(-36) + (-4)\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(418)*2)\/sqrt(11) - sqrt(76)\/sqrt(2)*-2)*-3)\/((sqrt(24)\/sqrt(3)*6)\/(sqrt(64)*-1 - sqrt(64) - sqrt(64))).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4773\/1510 + 21\/151. Is 4 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s*s**1)\/s)\/s)\/s**(-4)*s*s**(-5)*s**(1\/9))\/(s\/(s**(2\/15)*s)*s**(1\/10)*s\/((s**5\/s)\/s)*s\/(s\/s**(-2\/9)*s*s)) assuming s is positive.\nAnswer: s**(191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 6, -157?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1317, 1545, 1773, 2001, 2229, 2457?\n\"Answer: 228*y + 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629679646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 4 - 444*y**3 - 120*y**3 - 2*y.\nAnswer: -564*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 2*m + 14. Let z be k(6). Let r be (-1145)\/z*2 - -1. Determine n, given that r - n**2 + n - 230 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 92 = -6*l + 3*s, -5*l + 4*s = -96. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 0.56, -27, -0.4, 3\/5?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14576806?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:16 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.8.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1 + (-48)\/(-3). Suppose 0 = -2*u - p - 0. Let x(r) = -r**2 - 13*r - 1. What is the remainder when 85 is divided by x(u)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + g**3 + (-g - g + g)*(-g**2 - g + g) + (5*g**2 - 5*g**2 + 2*g**2)*(7 + 8*g - 7) - 2*g**3 - 1 + 1.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -540523 divided by -23501\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 0 - 2 - 1 + 1 + (-1 - 2 + 1)*(-3 - 3 + 3))*(89*y - 482 + 482 + (0 + 0 + 2*y)*(3 + 1 - 2)) as w*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2367 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 16*f**2 - 18 + 14*f**2)*(-7 - 3 + 4)*(0 + 0 + 1).\nAnswer: -180*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1344 and -139\/124740?\nAnswer: 1995840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(396) - 1*sqrt(396))*-4)**2 + sqrt(396) + 3 + (sqrt(396) + 0 + sqrt(396))**2)*3 - (sqrt(396) + 0 + -5 + (5 + 3 + sqrt(396))**2).\nAnswer: -84*sqrt(11) + 4306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -0.5 (c) 463675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -5 (c) 0 (d) 102\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44) + 5 + -1 + (-2*(sqrt(99))**2 - (sqrt(66)\/(sqrt(24)\/sqrt(4)) + sqrt(11))))*-2.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-55)\/27 + (-3 - -5). Sort 0.07, b, 0.3 in increasing order.\nAnswer: b, 0.07, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 65 + 12. Suppose -12 - 65 = -a. What is the greatest common factor of a and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -145*j + 732. Calculate the lowest common multiple of 35 and t(5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**5 + 2*n**5 - 4*n**5 + ((-2*n**3 + 3*n**2 - 3*n**2)*(1 + 1 - 1) - 4 + 4*n**3 + 4)*(-3*n**2 - 2*n**2 - 6*n**2).\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/11, 1, -2, -4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 9*j - 19*p + 153 = -3*j, 0 = 2*j - 300*p + 304*p - 82 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 88078?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1140 (base 6) to base 7\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(z**3 - z**3 + 2*z**3 + (z - 4*z + 2*z)*(z + z**2 - z) - 7*z - 7*z**3 + 7*z) as w + c*z**3 + h*z**2 + f*z and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121266 and 673700?\nAnswer: 6063300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let w = 2 - p. Suppose -110 = -5*t - w*i, 4*i = 3*i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 24 = 5*s, -4 = 5*s + 1484*j - 1472*j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 + -6 + 18\/(-3 - 3) + 122 and 87.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 0) + -66 + 70 - 25 - -12?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67732 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/2 + 1396475*s\/2.\nAnswer: 5*s*(s + 279295)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 626527 (base 8) in base 5?\nAnswer: 23130330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**4 + 3*u**2 + 2. Let c(i) = -2*i**4 - i**3 + i**2 + 1. Let h(a) = 6*c(a) - 3*v(a). What is l in h(l) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 3, q: 1, i: 4, w: 4}. Give prob of sequence hi.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*k = -k - 816, 4*k + 1020 = 5*j. Suppose -6418 = -34*w - 4684. Calculate the greatest common divisor of j and w.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 35) + (44 - -13) + -39?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1231926120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166836 - -166837. Let n = -0.07 - -0.1. Sort -2, n, -5, u.\nAnswer: -5, -2, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5*2\/(-15))\/((-63)\/(-6)*(-480)\/105)\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 + 111 - (-5 - 22).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - (10 - (0 + 4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-14))**(-17)*(r*r**3\/r)\/(r\/(r\/r**(-26))) assuming r is positive.\nAnswer: r**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22458 + 4079. What is g rounded to the nearest 100?\nAnswer: 26500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -412 + 404. Let q be (-38)\/(-12)*(254 + a). Round q to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -255*s**4\/4 - 1350*s**2 + 22*s - 25. Differentiate j(n) with respect to n.\nAnswer: -1530*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 12140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -3.75, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131.1026*0.5.\nAnswer: -65.5513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 t when four letters picked without replacement from ttxxtttt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.324 + 0.576. What is the second biggest value in -0.4, -22\/5, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7760 or -10?\nAnswer: -7760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - j = -12 - 4, -a + 3*j = 15. What is the remainder when 1 + 26\/1 + a is divided by (-60)\/(-18)*6\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -4. Let d(p) = -p**3 - 5*p**2 + 267*p + 40. Let k be d(-19). Solve 3*n = k - i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-190)\/(-6) - 4\/12. Let y = -26 - p. Let r(f) = f - 5. Let u(t) = 2*t - 9. Give y*u(h) - 11*r(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wudduduuwdwduujwud. What is prob of sequence wd?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-7 - -9)) + -7 + 13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217087, -217088, -217089, -217090, -217091?\nAnswer: -217092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -26 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**2 + 192898924*j - 4651249360044722 = 0. Calculate j.\nAnswer: 48224731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3927*h + 2944*h - 14056 = 30179 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160596?\nAnswer: 2, 19, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-2 - 3 - -8). Let t be ((-30)\/25)\/(r\/(-10)). Solve 15 = -t*j + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 345012715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -536442 + 535419.521. Let v = s - -1022. Round v to 2 dps.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-4\/11)*r)\/r*r**11 assuming r is positive.\nAnswer: r**(128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/27)\/(2\/6). Let h(o) = 10*o + 15. Suppose -4*q + 25 = 2*k - 17, -4*k - 3*q + 69 = 0. Let f(i) = 1. Let x(n) = k*f(n) - h(n). What is x(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223 + -121. Let q = 43 - 46. Is 34 a factor of q\/6*-2*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**6\/60 - o**5\/12 + o**2 - 6*o. Let u(p) be the first derivative of k(p). Find the third derivative of u(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*c = -2, 0 = -4*q - 5*c + 3 + 5. Solve -q = -p, 6*w - 4*w - p + 8 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 670 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(3) + -1 + sqrt(32))**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 18 = 5*u. Let d be -2 - (u + (1 - (-69)\/(-3))). Let c = 39 - d. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9440 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 43*a + a + 350 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 9) to base 3.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 932*b**2 + 88*b - 401. Is v(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvgvggvggcvgggggcvvg. Give prob of picking 2 v and 2 c.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45, -58, -79, -120, -193?\n\"Answer: -2*u**3 + 8*u**2 - 23*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/9)\/u*u)\/u)\/((u**(1\/4)\/u)\/u)*u**(-5\/7)*u*u*u**5 assuming u is positive.\nAnswer: u**(1885\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (0 + 7 + -2)*(451 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32521728?\nAnswer: 2, 3, 31, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) 3 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2186295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbzzombe. What is prob of picking 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 136 = 118 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -595438515 by -39695901.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12760, -50999, -114672, -203731, -318128, -457815, -622744, -812867?\nAnswer: -1028136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 174*t**2 - 3647*t - 4051. What is u(22)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1191978773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-78)*(-6)\/(-2)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c3 + 5?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4*2\/12)\/(38\/114)*-12198 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + 11. Suppose 0 = -5*u - b + 9, b - 5 = -4*u - 2*b. Calculate the remainder when a(u) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442 a factor of 9316918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.9. Let g = 75\/2 - 39. Which is the closest to f? (a) g (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11453 is divided by 491?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((88 - 21) + 9)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 765327 + -300.2\nAnswer: 765026.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -15*b + 1225. Let i be t(-7). Calculate the greatest common factor of 38 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 - 7*q. Let z be j(-5). Let f = z + 94. Suppose 0 = 5*t + i - 25, t - 5*i = 2*t - f. Solve -4*c + 0*c = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 = -n, 5*a - 2*n = -2 + 20. Suppose 0 = -3*k - k - a*v + 1164, 4*v - 16 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*d**3*x**2 + 4*d**2*x**2 - 3*d**2*x + d**2 + 15*d*x**2 - 12019*d*x + 18*x wrt d.\nAnswer: 294*d*x**2 + 8*x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 857*g + 1967*g + 84720 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.02.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11 - 21*l**2 - 14 - 8. Let x(v) = -4*v**2 - 2. What is -2*k(a) + 11*x(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*u + 67, -30*u + 33*u - 2*v = 93. What is the highest common divisor of 319 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2714491631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1304, -5, 0.43, -4, 1?\nAnswer: 1304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = 3*r + 6*r - 255. Calculate the highest common factor of 4607 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.14 - -240.14. Let f = k + -240. Let o = 3 - 4. What is the second biggest value in o, 0, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 9, d: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24896520 divided by -5.\nAnswer: 4979304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -26871 + 5\nAnswer: -26866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 788470552 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 8*h + 0*h**3 + 0 - 7\/12*h**4 - 2*h**2. Let k(o) = -2*o. Calculate m(k(w)).\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) -3\/11 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 14*c. Let x(k) = -126*k**2 - 3. Calculate r(x(u)).\nAnswer: -1764*u**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*m + 10. Suppose -l + 7600 = -m*l. What is l rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7292711431 rounded to 5 decimal places?\nAnswer: 0.72927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 540170518 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 13. Let d = l - 7. Suppose -r - v = 1, -d*v + 2 = 5*r - 5. Solve -2*f = 5*q + 5, 2*f + r = -q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 113.894 - 114. Let z = o + 0.15. Let w = -0.007 + z. What is w rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h - 8. Suppose -80 = -3*y - 5. Let i(o) = -43*o + 16*o + y*o. Give i(z(a)).\nAnswer: 6*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**6\/30 - 83*r**3\/3 - 861*r**2\/2 - 9*r - 19. Differentiate f(i) with respect to i.\nAnswer: 4*i**3 - 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l - 6 + 2 - 19*l + 2*l to the form j*l + q and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 524529*g. Let x(s) = -49*s**2. What is u(x(i))?\nAnswer: -25701921*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/80)\/((1035\/(-23))\/(-720)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-34))**(-1\/61))**20 assuming n is positive.\nAnswer: n**(680\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 44 - 67 = -93. Solve 0 = h*i - 5*n - 40, 66*n = 4*i + 61*n - 37 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -899 + 904. Solve -v = 2*u, 3*u = s*v + 8*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 4. Let u be v(0). Suppose 4*f - a = 21, -a + 16 = u*f + 3*a. What is the second derivative of 2*g - f*g - 5*g**2 + 2*g**2 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45780772\/7 or -6540110?\nAnswer: -6540110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -111*i + 5*y - 121, -46*i + 50*i + 20 = 4*y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from {k: 10, w: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4385*l - 16820*l**3 - 19179*l**3 + 4385*l)*(-1 - l + 1).\nAnswer: 35999*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-11) + (-108925)\/(-15048). Let k = o - 5\/1368. Find the common denominator of k and 85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 275294281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 43*q**2 + 179*q + 41. What is l(-6)?\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 3 = -3*d, -2*c - 5*d = 5. Solve b - 3 = -c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -c. Let v(p) = -p**3 + 3*p**2 + 2. Let j be v(2). Let w = 1 + j. What is the remainder when w is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 970 = -58 - 72. What is the greatest common factor of u and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(418))\/sqrt(11) + sqrt(38))\/(sqrt(32)*-6).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjfvjzjvjpjffd. What is prob of sequence jj?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3\/7 - 932*d**2\/7.\nAnswer: 4*d**2*(d - 233)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 649143821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*o + 39*o + 38*o)*(-4*o**2 - 2*o**4 + 4*o**2 + (-o**4 - 2*o**4 + 2*o**4)*(-2 + 2 - 1) + 2*o**4 - 3*o**2 + 5*o**2 + 0*o**4).\nAnswer: 129*o**5 + 258*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7691890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -15, 7, -8 in increasing order.\nAnswer: -15, -8, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 15*x - 52. Let v be b(-18). Find h, given that 107*h + 22 + 5*h**v - 2 - 87*h = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201546 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60040 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 72*m - 24 + 627 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-69)\/(-9) - 1\/(-3). Let n = p - 4. Solve -3*l = n*h + 15, 5*l + 25 = -h + 3*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a**2 + 5. Let p(m) = -14*m**2 + 3*m + 5. Let t(i) = 29*i**2 - 7*i - 9. Let o(j) = -7*p(j) - 3*t(j). Give 5*o(w) + 8*s(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*i + 2*i - 4*i)*(2 - 8 + 2) + i + 5*i - 5*i)*(-6 + 4 + 0 - 7 + 11 + 11 + (-1 + 0 + 3)*(-1 + 3 + 0)).\nAnswer: -51*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157 take away 68?\nAnswer: -67.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -532.47392 and 0.2.\nAnswer: -532.27392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05125 + -0.34875. Which is the fourth biggest value? (a) 3 (b) 2\/15 (c) m (d) -0.1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165153 is divided by 2799?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (561*w - 350*w + 248*w + 692*w)*(3*w**3 + 4*w**3 - 4*w**3)*(-2*w + 0 + 0).\nAnswer: -6906*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(3\/8))**(7\/3)\/((i**(-1)\/i)\/i)**(-46))**(-37) assuming i is positive.\nAnswer: i**(121249\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:55 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 + 3 = 0. Suppose 4*d + 141 = -v*i - 167, -4*i + 2*d - 626 = 0. Let w be 300\/3*i\/2. What is w rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*v + 73*v = 4796. Calculate the remainder when v is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3789a (base 12) to base 9\nAnswer: -124601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**3\/3 + 13*k**2\/2 + 46*k - 49. Let d be z(-6). Let t(a) = -2*a - 3. Determine t(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 4\/(4\/(-2)). Let z = h + 4\/3. Is 1 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**9\/60480 + d**7\/5040 + d**5\/5 - 15*d**2. Let v(r) be the third derivative of a(r). Find b, given that v(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 4*d + 1. Let m be y(-4). Let r be m*6*3\/6. What is the first derivative of a - r*a - 2 + 3*a wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17616221 divided by 2?\nAnswer: -17616221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 17 + 53 = 0. Suppose 3*m = 6*m - y. Suppose 73 = w + m*f, -10 = -3*f + f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*r = 68, 4*m + 0*r = r + 62. Suppose -m*c + 15*c + 12 = 0. Let k be 2\/(-15) + 4\/c. Sort 0.1, 0.3, k, -0.1 in increasing order.\nAnswer: -0.1, 0.1, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10876320 is divided by 906357?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2800528.\nAnswer: 2, 101, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, x: 6}. What is prob of sequence lx?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 29*a - 10. Let j be t(27). Which is smaller: 41 or j?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 987*c - 2*v + 8 = 992*c, -c + 16 = 4*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*a + 9. Suppose -3 - 5 = -a*o. Suppose 86 = 3*s + 3*n - n, 118 = o*s + n. Calculate the highest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -3 - -13) + -7 - (-10 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1\/5, -0.124 in descending order.\nAnswer: 1\/5, 1\/8, -0.124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 2*l**2 + 0*l - l)*(3*l - 5*l + 6*l).\nAnswer: 8*l**3 - 4*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5 - 81*w**4\/2 + 111*w**3\/2 - 18*w**2 = 0. Calculate w.\nAnswer: 0, 1\/2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -31, -2, -8, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -55*x + 229278. What are the prime factors of x?\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -574*b + 567*b - 52, -4*l + 22*b = -124 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17214200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(252) - (sqrt(252) + -3)) + sqrt(252))*2.\nAnswer: -36*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 870471\nAnswer: -870471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4*b**3 + b - 4*b**3 + 1 + 0*b + b**2. Let l = -2 + 5. Suppose 15 = -4*d - l*z + 2, 0 = 5*d - 2*z - 1. Determine j(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1027, 1030, 1035, 1042, 1051, 1062?\nAnswer: 1075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 924 - 924.78. Is -1 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 8:59 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/15))\/q*q\/(q*q**(-40)\/q))**45 assuming q is positive.\nAnswer: q**1848","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x - 3*j, -3*x - 2*j + 24 = x. Let q = x - 29. Let d = 14 - q. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 26 = 4. Let x = w - 11. Solve -10 = -9*y + x*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y - 2*y**2 + 2 - 4*y. Let j(r) = -27*r + 22. Let b(w) = -10*w + 8. Let t(p) = 11*b(p) - 4*j(p). Give c(t(z)).\nAnswer: -8*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)\/k)\/k**(-22) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nln when three letters picked without replacement from lllflnnlnllnlfln?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(66)*-2)\/sqrt(6) - sqrt(704)*-2.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2733?\nAnswer: 3, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 375*v + 7130. Let h be u(-19). Let g be 4*(-1 - 3\/(-2)). Calculate the greatest common factor of g and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*a + 3 = 0, -4*a = -35*d + 40*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 2*q + q)*(-13 - 4 + 0 + (2 + 1 - 1)*(0 - 3 + 1) - 1 + 0 - 1).\nAnswer: -230*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36402, 72784, 109166?\n\"Answer: 36382*m + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 4*z = 0. Solve 3 = -j, z = -c - 2*j - 0 - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22568807 and 0.087?\nAnswer: 22568807.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -118, -203?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260308 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 2362388.\nAnswer: 2362388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.812451 + 0.5?\nAnswer: 35.312451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2268)*-1 + sqrt(2268)))\/(sqrt(225) - 4*(sqrt(225) - sqrt(225)*-1)) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 189 = z. Suppose 23*s = z*s + 2. Solve -1 = 2*i + s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - y**2 + (2 + 2*y - 2)*(-3*y + y + 0*y) - 3*y + 3*y - 2*y**2 - 131035 + 131035 + 263*y**2 to the form i + w*y**2 + c*y and give w.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -29. Let u = 1 - l. What is the nearest to u in 1, 2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4123 and 2604?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*d - 98*d + 16 = 0. Suppose d*v - 4*t - 2512 = 0, 3*v + t = 6*v - 1878. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 3*k. Suppose 0 = 5*w + k*g - g - 577, -2*g + 574 = 5*w. Suppose -5*v + 309 = -w. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/((-5)\/(-75)). Let q be (304\/(-95))\/(2\/l). Suppose 3*r + 4 = 5*p - q, -r + p - 4 = 0. Sort 1, -6, r, -5 in decreasing order.\nAnswer: 1, r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 9:42 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240\/(-12480)*(-9)\/(-63)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2064987*x**3*z**2 + 31*x**3*z - x**3 - 2*x + 2*z**3 - 1250 wrt z.\nAnswer: -4129974*x**3 + 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (2 - 2)) + 1 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 5\/4 - 1\/(-4). Let j(w) = 2*w**2 - 2. Let p(r) = -r**2. What is m*j(g) + 6*p(g)?\nAnswer: -2*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*b + 18*b - 33*b to the form c + h*b and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 248? (a) 0.06 (b) 24045 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -223829 < -223829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, h: 5}. Give prob of sequence zhhh.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r - 11. What is the remainder when k(-6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2 + 2*r - 2. Let j(i) = -119*i**2 - 35*i + 35. Let x(h) = -2*j(h) - 35*t(h). Let k(q) = -7*q + 3*q + 2*q + 0*q. Give k(x(z)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 8*m - 4*z = 152, 0 = 4*z + 73 - 61 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = -5*m, -m = -2*t - 7 - 3. Let l = 15 - m. What is the highest common divisor of 44 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 102530*t**2 + 102530*t**2 + 13*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2 + 7. Suppose 0 = -3*f + s + 1, 4*s + p = -s. Suppose -5*d = -3*u - 8, -2*u - 4 = -3*d - 0. Solve f = -2*t - d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 573*v - 4885. Calculate the remainder when t(13) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 - 5*b - 1. Let v be a(-4). Solve -7*g + v = 95 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870 is divided by 66.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -5, -6 in ascending order.\nAnswer: -6, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1351 (base 7) to base 6\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3943\/176 + 254\/11. Let k(z) be the second derivative of 1\/24*z**6 - 3*z + g*z**4 + 11\/40*z**5 + 5\/6*z**3 + 1\/2*z**2 + 0. Determine o so that k(o) = 0.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -251*u + 256*u - 25. Suppose 2781 = u*y - 2*y. Let s = -36151\/39 + y. Are s and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 q, and 1 r when four letters picked without replacement from jnqrnqmmqjrxrq.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -32*z**2. Let n(h) = 25*h. What is c(n(d))?\nAnswer: -20000*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 27*k**2 - 326*k - 91. What is the thousands digit of i(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 4*h - 4 - 12, -2*h + 3*g = -16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 0. Let j be (-21)\/(-14) - y\/2. Suppose -5*a + 37 = j*k - 45, -3*a + 4*k + 70 = 0. Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = -6*t + 762. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15819 + 15819.38. What is the closest to -1 in 2\/7, 25, 0.5, i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/16)\/(3\/(-4)). Let w = -2 + 12. Let i = w + -12. Is a at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 207727 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83089279 is divided by 101.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4 = -4*z. Suppose -5*b + b - 3*q = -208, -5*q - 240 = -z*b. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 24 - 27)*(1 - 2*d - 1) - 724 + 724 - 38*d.\nAnswer: 86*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -11*q + 8*q. Suppose -6*h + q*h = -213. Let l = -7 + h. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -1636?\nAnswer: -30\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + sqrt(18) + sqrt(32) + -2 + sqrt(108)\/(-1*sqrt(96)) + 4)**2.\nAnswer: 97*sqrt(2) + 9441\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7220307mg to kilograms.\nAnswer: 0.0000007220307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -345 + 596. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 8*b**2 + 5*b + 16. Let f be 20\/30 - 25\/(-3). Let y be u(f). Let a = -17 - y. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 93*j + 113. Let i be k(-4). Let m = i + 286. What is the remainder when m is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2908*q**5 + 2*q**2 + 1110 wrt q?\nAnswer: 174480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + (0 + 7 - 3) - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35875965 and 110?\nAnswer: 789271230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6228928266*i + 4*i**3 + 7*i**2 + 6228928266*i.\nAnswer: 4*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 554*p + 3347. Suppose 0 = -2*u - 2*k + 272, 5*u = 7*k - 2*k + 690. Calculate the remainder when u is divided by s(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o + 164*o**3 - 35*o - 149*o**3. Let l(r) = -3*r**3 + 5*r. Determine -24*l(j) - 5*t(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 636 = -752. What is the remainder when 2550 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2169b + -32?\nAnswer: 21669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14648254?\nAnswer: 2, 17, 25343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 355 - 301)*(-1 - 2 + 2)*(5 - 2*a - 5).\nAnswer: -1202*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 510972672*m**2.\nAnswer: -2*m**2*(m + 255486336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3740*n + 97183 = 3893*n - 192871 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/13 and 32\/221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 + 29 - 14*v - 86)*(-3*v - v + 2*v - 2*v + 0*v + v - 5*v - 2*v + 5*v + (5 - 5 - 2)*(3*v - 2*v + 0*v)).\nAnswer: 98*v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -56*o + 17. Let f be u(5). Let i = f - -300. What is the remainder when i is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 + (-6)\/3. Solve 0*y - 4*y + 26 = 5*j, -4*j + 2*y = h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxhxxxxhxh. What is prob of picking 3 x and 1 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -4*v**3\/3 - 8*v**2 - 6*v + 2. Suppose o + 2 = -2*x - 30, x = -o - 16. What is the hundreds digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4279300 is divided by 13939.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4, u: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 211, 190, 77, -158, -545?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11743 and 231.\nAnswer: -2712633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.1. Let i be 2\/3*(-9)\/(-6). What is the closest to i in 2\/17, -4, w?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 740*y**2 - 231*y + 453. What are the prime factors of w(2)?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -3 (b) 0 (c) 0.38 (d) -3\/7 (e) -45 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y - 30. Let g be 32\/10*(-5)\/(-1). Let z be i(g). Solve -8 = -z*n - 2*v, v = -v + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 279.6171 milligrams?\nAnswer: 0.0000002796171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 44420.99 millennia?\nAnswer: 44420990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -214*f - 267. Let s(p) = -216*p - 268. Let o(k) = -4*s(k) + 5*w(k). Differentiate o(b) with respect to b.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**7\/420 - x**6\/360 + x**5\/60 + x**4\/4 + x**2\/2 - 87*x. Let f(o) be the third derivative of n(o). Give f(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - ((-3)\/3 + 0). Let c = 3 - y. Let h be (-11)\/c - (-4)\/12. Calculate the highest common factor of 20 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z = 1416 + 1630 + 6197 for z.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -251 - 134. Let x = j + -11. Suppose -x*w + 23*w + 163 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**4 - 2625*p**3 + p**2 + p + 5158.\nAnswer: 72*p - 15750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-6)*k)\/(k\/k**0) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/25 - -1\/150. Let y = -30.86 + 30. Let f = y - -0.86. What is the closest to f in i, -4\/5, -12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1655234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6)*2 - -2. Let y = 3 - 2. Solve -i = -a + y, -m = -2*a - i - 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n - 11. Let q(w) = 13*w + 21. Let s(l) = -5*c(l) - 2*q(l). Let j be s(-5). Calculate the common denominator of (1575\/(-20))\/j + 4 and 39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jddjvjvgjjdvdjjdd. Give prob of picking 1 d, 2 j, and 1 g.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**3*z**3 - y**3*z**2 - 171*y**3*z + 2*y**2*z - y - 5*z**3 wrt z.\nAnswer: 18*y**3*z - 2*y**3 - 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 635635.8um to nanometers.\nAnswer: 635635800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 637*z - 274*z + 1282*z - 3 + 400*z + 804*z as h*z + b and give h.\nAnswer: 2849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(85)*1 - sqrt(85)) + sqrt(85))\/(sqrt(35)\/sqrt(112)).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 566.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1869193*-10.\nAnswer: 18691930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144*a**3 + 730*a**3 - 32631*a**4 + 32632*a**4 + a**2 + a**4 - a**2 + (-3*a**3 - 3*a**3 + 4*a**3)*(a - a - 2*a) + 0*a**3 - 2*a**4 + 0*a**3.\nAnswer: 4*a**4 + 586*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yal when three letters picked without replacement from walayrw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237 and 395?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 755420807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -30072 - 67*r**3 + 30072 + (7 - 10 - 25)*(-3 + 3 + 2*r**3) as f*r**2 + k + d*r**3 + i*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-22) - 68\/11. Let z(x) = -x**2 - 5*x + 6. Let m be z(j). Suppose -r = -m*r - 22. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126015 - 126010. Let z = 8 + -8.3. Which is the nearest to 1? (a) -5 (b) k (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + (-4*sqrt(15)*-5)\/((sqrt(90)\/sqrt(6))\/sqrt(3)).\nAnswer: 1 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -8*t - 3. Let p(s) = -6*s - 2. Let x(c) = 2*f(c) - 3*p(c). Let m(n) = 107 + 5*n**2 - 107. Give m(x(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33.73 - -33.735054. What is m rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w + 3*w**3 - 33*w**2 + 2 - 2 + 22*w**2 to the form a*w + x*w**3 + j + r*w**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/28380935 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18440348 + 43*a**3 - 18440348.\nAnswer: 43*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t - 64 = -58*t. Suppose -2*a = -15*b + 13*b + t, -a - 16 = -3*b. Solve -5 + 25 = -b*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 + 4*m + 2. Let z = 41 + -37. Let s(p) = 7*p**2 + 5*p + 1. Determine z*s(d) - 5*y(d).\nAnswer: -2*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 770. Let b(c) = -c**2 - 5*c + 24. Let i be b(-8). What are the prime factors of y(i)?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/2 + 20341*y - 203435\/2.\nAnswer: (y - 5)*(y + 40687)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*i + a + 8, -5*i - 3*a = 20 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwawwwawawwaaw.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 59\/4 of a microgram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68.20294g?\nAnswer: 68202.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*y = 2, -3*y = 3*u + u + 3. Let d = 2\/1291660811 - 772044145262\/16940131536265. Let w = d + -2\/2135. Which is greater: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 3*z - 19875. Let u = z + 3825. Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - b**2 + b**2 - 15*b**2.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 80 - 77. Let b(f) be the first derivative of -c*f + 2 + 0*f**2 - 1\/3*f**3. What is the derivative of b(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3 in descending order.\nAnswer: -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 13) in base 11?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 3. Let p(q) = q**2 + 13*q + 34. Let h = 237 + -243. Let r be p(h). Calculate i(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21169126 + 1?\nAnswer: 21169127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 22042*k**2 + 9*k + 5. Let h be (-120)\/18 - (-2)\/(-6). Let c be f(h). What is c rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(120*l**4 + 7*l**5 - 118*l**4 - 31*l**3 - l**3).\nAnswer: 28*l**5 + 8*l**4 - 128*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**5 - 282*z**4 - 4047*z**3 + 4332*z**2 = 0 for z.\nAnswer: -76, -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*r - 5*r = 1, 4 = -2*r. Find the third derivative of -3*y**5 - y**5 - 5*y**2 + 7*y**2 + 6*y**p wrt y.\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(-16 + 16 - 5*w**3)*(4703 - 2557 + 570) to the form d + f*w + n*w**3 + j*w**2 and give n.\nAnswer: -27160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(275) + 2 + sqrt(275) + -2 - sqrt(275)) + sqrt(275)*1 + 1 + 2.\nAnswer: 3 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(6\/(-2))\/(-6). Let h(i) = -5*i**3 - 1 + 3*i**2 + p*i**3 + 3*i**3. What is h(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 4306*b - 3558*b - 184.\nAnswer: -7864*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p + 8. Let w(u) = u**2 - u - 517. Let r be w(23). Let l(y) = 25*y + 15. Determine r*n(z) + 6*l(z).\nAnswer: 18*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5 - 6268*y + 12462*y - 6302*y. Let s(t) = -t. Give s(m(p)).\nAnswer: 108*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/30)\/((-1)\/(-25)). Let m be (-8)\/a + 44\/10. Suppose 23 = m*n - n - v, 4 = n - 4*v. What is the least common multiple of 20 and n?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91485695.1 - 0.8.\nAnswer: -91485695.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3310, 3305, 3288, 3253, 3194?\n\"Answer: -t**3 + 2*t + 3309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1041?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*m + 14, 3*h + 6*m + 11 = 4*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120010211021 (base 3) to base 5.\nAnswer: 34014113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. What is the greatest common factor of 16 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 4*q + 3. Let i be z(-4). Let b(c) = 233*c + 1946. Let w be b(-7). Calculate the greatest common divisor of w and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*c = -32 - 36, -f + 2*c = 74. Let t = f + 101. Solve t - 22 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1178, 0, -5 in decreasing order.\nAnswer: 0, -3, -5, -1178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - d = -5*h - 8, 10 = -3*h - 4*d. Let v be h\/(-21) - (-4128)\/7. Does 12 divide v\/18 - (-6)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2394 is divided by 237?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 10 = 0, 0*d = 3*l + 2*d + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 = -u, -4*k = 17 - 5. What is the third derivative of -46*p**5 + 3308*p**3 - 3308*p**u - 162*p**2 wrt p?\nAnswer: -2760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1375*q**2 - 4731*q wrt q.\nAnswer: -2750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85\/231 + 23\/21. Let g be (-12)\/22 - (-56)\/22. Factor 6\/11*d**g - 2\/11*d + w*d**3 + 0.\nAnswer: 2*d*(d + 1)*(4*d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5*h + 88. Let p be k(-18). Let j = 0.4 + -1.4. Let s = j - -2. Which is the third smallest value? (a) s (b) p (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(1*-4) - 3. Let f be (20 + -18)\/(4\/10). Put y, -11, -2, f in descending order.\nAnswer: f, y, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10 + 13 - 31 - 13*l**2 wrt l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o + 38*o + 1434120000 = 0. What is o rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1540 is divided by 512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62822 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 + 50. Let q = z - -39. Suppose u + q = 5*b - 16, 24 = u + 4*b. Solve 2*k - 2 = 4*a + a, 12 = -k - u*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 2*o**2 + 7*o - 20. Let d be h(3). Let f(q) = q**3 + 16*q**2 + 3*q - 49. List the prime factors of f(d).\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35138 + -19401. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6105 and 783882.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4094)\/(-12) + 1\/(-6). Let l = a - -366. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.14 - 0.09. Let m = -4.05 + t. What is the nearest to -1\/2 in 4, m, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2)*1*-2. Let i be (-2 + 1)*(-17 + 16). Suppose -2*l + 20 = 3*l, -5*n - 30 = -5*l. Sort 4, n, j, i in decreasing order.\nAnswer: 4, i, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -365*t**2 - 13507*t - 67. Let n be j(-37). Suppose 6*m - m - 27 = -3*x, 0 = x - 2*m - 20. Let y be 78\/21 + 4\/x. Solve -y*h = -n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbif when four letters picked without replacement from hhhqhhbwfhi.\nAnswer: 1\/7920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3 + 972*b**2 - 195453*b + 577530 = 0.\nAnswer: -465, 3, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*h = -18, 3*s = -h + 6*h + 21. Calculate the least common multiple of 7 and 9 + -1 + s\/(-1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -698181.\nAnswer: -68\/698181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35284 and 2694154711.\nAnswer: 2694119427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(300\/9))\/(12\/10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4 = -2*i, i + 30*p - 12 = 28*p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 306*t - 301*t. Is 13\/((-78)\/(-45636)) - t\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5691010 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7\/3)*(-252)\/(-54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 193\/5, -5\/4, -1.1, 1, 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 11, w: 1, a: 2, p: 2}. Give prob of picking 1 w and 2 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 196 = 5*l + 70, 0 = -l - 8*n + 17. Solve 128 = l*a + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*k + 93, -55*m + 5*k - 24 = -56*m. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(20)\/sqrt(4) - ((-1 + 2*sqrt(5) - sqrt(5)) + sqrt(5)).\nAnswer: 1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s - 11. Let g = -4 - 0. Let i(d) be the second derivative of d**3\/3 + 5*d**2\/2 - d. Let n(a) = g*w(a) - 9*i(a). Differentiate n(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3666 divide 3254195960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -7. Let s be 4\/l + (-84)\/(-10). Is (s\/3)\/(2\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from hhhrmmchhhmhm.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00706182181 rounded to five decimal places?\nAnswer: 0.00706","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 36*x - 245. Let s be n(6). Suppose 3*i + 14 = -13. Let t = i + s. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - z - 1. Let c be y(-4). Let k = 29 + c. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 27. Solve 2 + 0 = 3*o - l*t, -3*o + 1 = -4*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3222085 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2. Let c(q) = 37*q**2. Give c(g(u)).\nAnswer: 37*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -47*w - 2. Let s be n(-1). Let l = -77 + s. Let g = l - -34. Solve 5*a - g = z, 3*a = -0*a + z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 9*o - 15. Let d(k) = -k + 2. Let q be d(3). Let l be q - -4 - (22\/(-2))\/(-1). Is w(l) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 17 - 29 - 8 + 54.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3831967 divided by 87\nAnswer: 3831967\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-7)*(16\/10)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0999 in 4\/5, -2, -1663, 2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155120085 divided by 1632843.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3307, 3299, 3277, 3235, 3167, 3067, 2929?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 38*x**3 - 51*x**3 + x.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - z = 57 - 1, 3*z = 3*y - 42. Let j = -2 + y. What is the greatest common factor of 132 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + v**2 + v - 1. Let b(i) = -4 - 31*i**2 + 4 + 3 - 3*i - 4*i - 46*i**3. Let k(z) = 2*b(z) + 6*m(z). Determine t, given that k(t) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from udkwdunndn. What is prob of picking 1 u, 1 w, and 2 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + sqrt(63))\/sqrt(7))\/(sqrt(18)\/(sqrt(24)\/sqrt(4))).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12104*j + 92 = -3*l + 12118*j, 0 = -2*j + 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4300469 to the power of 1\/2, to the nearest integer?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21697, 86868, 195515, 347638?\nAnswer: 543237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0*o**5 + 0*o**4 + 25*o - 11\/30*o**6 + 0 - 13\/3*o**3 + 0*o**2. What is the second derivative of w(m) wrt m?\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -317 + 318. Let n be 95\/(-420) + (-3)\/(-12). Is g equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 70179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3779206 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 11*z + 5. Suppose -4*q = -15 - 29. Let k be f(q). Solve 3*y + 5*a - 3 = 15, 4*y + k = 3*a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 5, 3, 6, -2 in ascending order.\nAnswer: -2, 3, 5, 6, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j\/j**0*j*j*j*j)\/(j\/j**(-22)))\/(j**(1\/24)\/j**(-9)) assuming j is positive.\nAnswer: j**(-577\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-1 - -1 - -8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/42, -2\/7, 60.3, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 - 3.23. Which is the third smallest value? (a) 4 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13686.0303 rounded to the nearest one hundred?\nAnswer: 13700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fufqquff. What is prob of sequence quq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m. Let v(s) = 6*s**2 - 4*s + 1. Let n(b) = 11*b**2 - 8*b + 1. Let l(w) = 3*n(w) - 5*v(w). Give -4*g(y) - l(y).\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45 - 2) + (26 - 8 - 4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 40185*s + 401909. Give a(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41559484003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 31, 63, 107?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24496 + -10541. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -427 and -1948235.\nAnswer: -1948662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j - 21*j - 76*j**2 + 77*j**2 to the form h*j + v + z*j**2 and give h.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t - 21*t**2 + 38*t**2 - 16*t**2 - 7*t. Let v(s) = -48*s**2. What is d(v(c))?\nAnswer: 2304*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 18*a + 442. Let y be p(-31). Calculate the greatest common divisor of 1131 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 + 14\/4*(-1714720)\/(-392)?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 60*s - 10*s + 750 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7519*r**3 - 10*r**2 - 9*r - 181. Let y(p) = 7522*p**3 + 8*p**2 + 9*p + 182. Let g(m) = 3*l(m) + 4*y(m). What is the third derivative of g(q) wrt q?\nAnswer: 45186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(25*a + 29*a - 7*a)*(2 - 2 - 3*a)*(4*a + 0*a - 6*a) + 7*a**3 - 2*a**3 - 4*a**3.\nAnswer: 283*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47534, -47535, -47536?\nAnswer: -47537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 1. Let s be i(-2). Let q(t) = -2 - 7*t**2 - t**s + 18*t**2 - 4 + 17*t. Does 27 divide q(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)\/j)**(2\/5)*(j**6)**(-4\/11) assuming j is positive.\nAnswer: j**(-251\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85950 is divided by 1433.\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 324130578.191 and 144?\nAnswer: 324130434.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millimeter in micrometers?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72617 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 i, and 1 d when four letters picked without replacement from {d: 4, i: 4, g: 1, q: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -45 - 35. Suppose 64 = -7*b + r*b. What are the prime factors of (b\/10)\/(22\/5 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634392510 + 5169992510 = -23*j. Round j to the nearest 1000000.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27098350 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130021000 + -1001120?\nAnswer: 123013220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*a - 6 = 0, 6 = 4*a - 2*a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 3944.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-252)\/112*-1*4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130066371521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11763*c**3 + 2679*c - 3 wrt c.\nAnswer: -70578*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8285102.8 rounded to the nearest one thousand?\nAnswer: 8285000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giwgwwiwwggigwwi. Give prob of sequence igig.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56647824?\nAnswer: 2, 3, 757, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v + 2*v - v)*(-3 + 3 - 2) - 2*v - v + 2*v)*(29*v - v**2 - 24*v + 10*v**2).\nAnswer: -45*v**3 - 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 6*j + 9. Let h be l(-7). Let x(f) = -f**3 + 2*f - 3. Let s be x(h). Let m = 11 + s. What is the lowest common multiple of m and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - (-1 + 1 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + -6*(1 + 1*(sqrt(304)*-4)**2) + 4).\nAnswer: -87573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6953.577l to millilitres.\nAnswer: 6953577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3332683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 4, e: 2}. What is prob of picking 1 w, 1 p, and 1 e?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/20 + c**4\/2 + 2*c**3\/3 - c**2\/2 - c. Let w be l(-5). Let y = -2 + w. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 1 (c) 5 (d) -3\/5 (e) -5\/49802 (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = o - 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + -2 - 66\/2. Let v = 71 - 89. Let c = n + v. Round c to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17555368651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 1b?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:45 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 21*k**2 - 29*k + 54. Determine p(13).\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**3 + 15*o**2 - 539*o - 28. Give x(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 260672997.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 24. Suppose -m = -4*d - 0*d. Suppose -d*k = -0*k. Solve r - 5 = -k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1555 divide 13173960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5442, -10880, -16320, -21762?\nAnswer: -27206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from vvqov.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -285 - -3834. List the prime factors of g.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 969?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 21*y - 1202. Determine j(57).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/14*250\/15. Suppose -39 = -5*t - 169. Which is smaller: t or y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -0.4, 6\/13, -2\/11, -9?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/12)\/1)\/((9106\/145)\/157)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -38 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.272 - -5.272. Let x = -5.9 + 5.877. Which is the fourth biggest value? (a) x (b) -2\/13 (c) -3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 243 - 243.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891)*-2*-2 + sqrt(891))**2 + (4 + 2*sqrt(891) + sqrt(891))**2 - ((-3 + sqrt(891))**2 + 2 + 3).\nAnswer: 270*sqrt(11) + 39206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320 + 472 + 68 = 82*u - 1764 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31828 divided by -7957.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f = 0. Suppose f*n - 5*n + 30 = 0. Let k be n\/30 - (-2)\/(-10). Solve k*a - 9 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -5*w - 68 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 3:28 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 427 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3161738145882454.53999772 - -3161738080084936. Let q = 65797381.54 + a. Let t = -137 - q. Round t to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 745 in -56\/3, 4\/5, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -8306.\nAnswer: -8307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(3 + 2 + -3). Let z be ((-3)\/3)\/(1\/(-22)). Let h(w) = 21 + 3*w**2 - 4*w**2 - z - 3*w. Determine h(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmm. What is prob of sequence mml?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 64. Let l = u - -96. Let h = l - -52. Is 46 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b2717 (base 12) in base 2?\nAnswer: -111100010000010000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1549782 or 2\/41?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5374, 16471, 33270, 55771?\nAnswer: 83974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhwapoaw. What is prob of sequence hmaw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1104775, 1104774, 1104773, 1104772?\n\"Answer: -h + 1104776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 117, 161, 223, 303, 401?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289 by 415.\nAnswer: 289\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3063997 is divided by 729?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 10 = -i, 51*i = 54*i + 5*s - 26. Solve -i = 6*v - 8*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x - 110\/17*x**3 + 0 - 6\/17*x**4 + 76\/17*x**2.\nAnswer: -2*x**2*(x + 19)*(3*x - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 - -61. Let b = -16 - p. What is the highest common divisor of 81 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*s + 10*s + 513 = -20*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3437148 divided by 1.\nAnswer: -3437148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**7\/3780 - d**6\/360 + d**5\/90 - 5*d**4\/4 - 17*d. Let x(m) be the third derivative of u(m). Factor x(q).\nAnswer: 2*(q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**3\/3 - 7*u**2\/2 - 10*u + 69. What is m(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 - 6*h + 7. Suppose 2*n = 5*n + 18. Let r be c(n). Is 2 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1011, -3\/5, 5, -1.59?\nAnswer: 1011","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (-5 - (-47 + 34))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -122643.89 less than -5?\nAnswer: 122638.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 + 559*d**2\/5 - 1658*d\/5 - 1112.\nAnswer: -(d - 556)*(d - 5)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i = -2*i + 95 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -226*h - 23712. Determine m(-105).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28606745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -96610439?\nAnswer: 12\/96610439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1062)\/54 + (-2)\/(-3). Let c(u) = u**2 + 22*u + 62. Let q be c(b). Let g = -0.1 + 0.2. Put -2\/7, g, q in descending order.\nAnswer: q, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 379652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*l = 60. Calculate the greatest common divisor of l and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -31500683?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*b - 3 + 1 in the form d*b + j and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -14*a + 95. Solve 0 = -a*n + 12*n + 2*x + 4, 0 = -3*n - x - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**3 + 1010688*u**2 - 127719625338*u + 8425093290372 = 0.\nAnswer: 66, 252639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 33 in decreasing order.\nAnswer: 33, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2, -3*n - 17*k + 7284 = -14*k. Calculate the remainder when n is divided by 122.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931858 > 931856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 3*l**2 + l**2 + (-871 + 335 + 388 - 3*l)*(-1 + 1 - l)*(0 - 4 + 5).\nAnswer: 2*l**2 + 148*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(16\/6)*-4. Let j = -327 - -357. Suppose y + 29 = j. Sort y, i, -1 in ascending order.\nAnswer: i, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 - c - 3. Let u be l(-5). Is 13 a factor of 9*(-3)\/((-36)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*y, -2*y - y = -3*s - 21. Let a be (s\/2 - -3) + 4\/8. Suppose a*q = -2*q + 76. What is the least common multiple of q and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 4*s**2 + 7*s - 2. Let b(f) = f - 1. Let x(d) = -3*b(d) + j(d). Let z be x(3). Solve 3*c - 1 = z*h - 15, 5*h - 20 = 5*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3c6 (base 13) to base 16\nAnswer: 29d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/60 - 23\/(-5). Suppose -a + 420 = s*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0*c**3 + 0*c - 22 + 1\/8*c**4 - c**2. Let l(z) = 4*z**2. Give t(l(h)).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 11901753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/10)\/((-3)\/(36\/6))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40998.76 millilitres?\nAnswer: 40.99876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*p**2 - 198 + 198)*(2 + 0 - 1).\nAnswer: 87*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103708*b = 103726*b + 72 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006017034483 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-5 + -5 + -1 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9430\/119 + -2304\/17. Let v = u + 56. Is 0 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 21*a - 106. Determine s(10).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 7\/5, -12, 2, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 27*g**2 - 7*g - 4. Suppose -674*a = -672*a - 126. Calculate the least common multiple of a and z(2).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 10. Let x be (t\/(-8) + 2)\/(108\/288). Solve -3 = -x*r + 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 755\/4 + -189. Sort q, 0, 7 in increasing order.\nAnswer: q, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 3. Let q be x(8). Let c be 5\/10 + (-52)\/8. Let s be (-8 - q)*8\/c. Solve 0 = -z + 5*z + s*u + 16, 5*z = u - 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 668196 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(7) - (4 + sqrt(56)\/sqrt(8))**2) + -5.\nAnswer: -32 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(900) - (-2*sqrt(900)*2 + sqrt(900))))\/(-5*(sqrt(147) + -2*sqrt(147)*-3 + sqrt(147) + sqrt(147))).\nAnswer: 8*sqrt(3)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 114 = 15*y - 162 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*c*g**2*o - 2*c*g + 5*c*o**2 + 23947*c*o + 40627115*g**2*o**2 + 22*g**2*o wrt o.\nAnswer: 10*c + 81254230*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a + 51 + 98 - 2*a + 282.\nAnswer: 24*a + 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437854200, 437854199, 437854198, 437854197, 437854196?\nAnswer: 437854195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zabpeeecebcpeeeep. Give prob of sequence cee.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6333 + -445?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86334?\nAnswer: 2, 3, 14389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*q + 5 + 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*k - 4*r, -3*r + 0*r + 19 = k. Let b be ((3\/(-12))\/(-1))\/(7\/14). What is the third biggest value in b, 2\/3, 2, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1)*b)\/b**(2\/19)*(b**(-1))**(-2\/133))\/(((b**7*b)\/b*b*b\/(b*b**1*b*b)*b)\/(b**(-5)*b**(1\/2))) assuming b is positive.\nAnswer: b**(-2817\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-560) - 15\/(-120).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100512?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from ojjjjoo?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 26\/11 + 9711961\/(-4091934)\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 20*b**2 + 23*b - 26. Let f(d) = 9*d**2 + 11*d - 12. What is 13*f(c) - 6*s(c)?\nAnswer: -3*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-159)\/33 - -3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4806 divided by 6\nAnswer: -801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c + 3. Determine z(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.306 + 0.406. Which is the third smallest value? (a) -3 (b) 3 (c) -1\/5 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 52656, 78552, 104448?\n\"Answer: 25896*p + 26760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4 - 5 = -t + 1 + 9, 0 = 2*f + 3*t - 25 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59, 0, 52, -0.1, 5?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*1)\/sqrt(4) + 3*sqrt(15)\/sqrt(5).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2*w + 4, -4 = 5*m - 3*w - 0*w. Let a = 8 - 21. Let n = a - -16. Put -1\/2, m, n in ascending order.\nAnswer: -1\/2, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v - 261*v**3 + 14*v - 33*v.\nAnswer: -261*v**3 - 55*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3 + 10*n**2 + 8*n = 0. What is n?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30285217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkxxkk. Give prob of picking 2 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.35 in -0.3, 0.1, -1\/6, -21, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f**2. Let j(a) = 71662*a - 32. Give j(l(s)).\nAnswer: 644958*s**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. What is the second smallest value in 2, w, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4640, -9051, -13452, -17837, -22200?\nAnswer: -26535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2+-13890268\nAnswer: -13890266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1218212, -2436436, -3654660, -4872884, -6091108, -7309332?\nAnswer: -8527556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(3\/(-4))*-1. Suppose 3*t - 3*k - 3531 = 0, -4*t + f*k + 4711 = k. Round t to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) 0 (c) -3 (d) -2\/7 (e) 54 (f) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 14 = -2*s, -32421*s - 7*n = -32400*s - 154 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/5, -14, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 13 = 5*r, 0*r - 3*r - 4*v = -18. Let z = 45 - 49. Which is the smallest value? (a) r (b) z (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 (base 13) in base 11?\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**7*u\/((u\/(u*(u*u**(-6))\/u*u))\/u))**(-2)\/(u**9*u*u*(u\/(u*u*u*u**(-4\/9)\/u*u))\/u*u**(-1\/3)*u**(-2)*u) assuming u is positive.\nAnswer: u**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v + 24 = 0. Let s(x) = x**4 + x**2. Let f(r) = r**4 + r**2. Let j(a) = v*s(a) + 5*f(a). What is the third derivative of j(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17464 - -17467.9994. Let j = -4 + k. Round j to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 455 and 4459.\nAnswer: 22295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 21 + 25 = 0, -3*i + 2*c + 410 = 0. What is the highest common divisor of i and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -11*(-4)\/154 - (-3945)\/35 is divided by -172*-1*1\/4?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {t: 5, y: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39176 and 23128?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -34, -51, -70?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 2:59 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -199.7 minus 1.152?\nAnswer: -200.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 629*k**4 + k**2 + 688*k wrt k.\nAnswer: 15096*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*s**4*z + 47*s**2*z**3 + 10*s*z**3 + 18*z**3 wrt s.\nAnswer: -456*s**2*z + 94*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 9*n + 16. Let p be d(-11). Suppose s + 34 = p. Solve -2*u = -s*b, 0*b + 5*u = 2*b - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l + 4. Suppose v = l*v - 2. Factor 2*h + 0*h + 0*h**3 + 2*h**2 - 2*h**3 + 0*h - v.\nAnswer: -2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000 (base 2) in base 12?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5612155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.779 * -3.4204.\nAnswer: 9.5052916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*t - 96*t = -3*p + 201, -2*p = 6 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2023 (base 11) to base 12\nAnswer: -167b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -22*c + 17*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -183\/5. Let j = 0.9 - -10.1. Let p = j - 11.1. Which is the nearest to p? (a) 2 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -422*o**4 + 533*o.\nAnswer: -5064*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 5:53 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -702 - -1405\/2. Let j(i) be the second derivative of 0 - 3\/2*i**2 - 6*i - s*i**3 + 1\/4*i**4 + 3\/20*i**5. Solve j(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4635 = 4*o + 1055. Suppose -4*m + 716 = v, -5*m + 2*v + 0*v = -o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -1 - (-12 + (0 - -10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -7.4. Let i = f + 0.8. Which is the third biggest value? (a) i (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/72 + 12\/(-27)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - ((-19 - 29) + 25)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(3)*-5)\/(sqrt(4) - sqrt(40)\/(sqrt(30)\/sqrt(3)) - sqrt(4)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9877488.\nAnswer: 2, 3, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8236753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.908481339 from 3.\nAnswer: 3.908481339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23451335.\nAnswer: 5, 569, 8243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 404597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/324774 and -71\/396946?\nAnswer: 3572514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 15*y**2 - 88*y - 88. Let b be s(-1). Solve 18 = 3*i + b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52602 is divided by 398?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2\/7 + 734*z\/7 + 748 = 0.\nAnswer: -7, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -170 + 238. Let p = 104 - a. Calculate the remainder when 248 is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 6 = 0. Suppose 5*x - x - 3*o = 60, t*x = 5*o + 16. Is 6\/x + (-152)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 42. What is the highest common divisor of 171 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90441 + -90391. Let s = -5 + 6. Is s > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 2:02 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -219, 1022, 5 in ascending order.\nAnswer: -219, 0, 5, 7, 1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.4313037 rounded to one decimal place?\nAnswer: 67.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 201000014?\nAnswer: -201000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4 + 4*l**2 + 0*l**2 - 3*l - l**3 - l**2. Let k = -1 - -4. Determine d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a factor of 691173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 55c - 4?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 2976?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srs when three letters picked without replacement from srrssrssssssrsrrsss?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-171)\/(-33) + ((-2)\/11)\/1. Suppose 0 = r - u*r + 60. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 13*m**4\/24 + 32*m**3\/3 - 89*m**2 - 3*m. Give p(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 2\/9, 114.4, -113, -0.6 in descending order.\nAnswer: 114.4, 2\/9, 2\/11, -0.6, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n + 4. Let b(c) = 2*c**2 - 3*c**2 - c + 1 + 0*c**2. Let p be 6*(2 + (-20)\/8). Calculate p*b(m) + u(m).\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/7, -6\/13, -1\/2, -0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t. Let i(o) = -86*o**2 + 38213. Calculate i(v(q)).\nAnswer: -1376*q**2 + 38213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 864788 divided by 4.\nAnswer: 216197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78909.42cm to millimeters.\nAnswer: 789094.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/154 in 1\/4, 24, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 3*b. Suppose w - 7 = b*o + 3, 4*o + 8 = -4*w. Suppose 2*q = 3*q + 1. Sort o, -2, q in decreasing order.\nAnswer: q, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14 - -18)*15\/(-6). Let i(n) = -34*n - 63. Is 26 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/((-16)\/(-8)*1\/(-14)). Let i be (-4)\/d*158 - 4\/(-14). Let v(t) = t**3 + 10*t**2 - 9*t + 27. Let x be v(i). Solve 5*g - x = 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 722296 and 70312?\nAnswer: 7945256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -11*b**2 + 6 + 2696*b + 4 - b**3 - 2684*b. Let o be z(-12). Let l(v) = 22*v - 44. What are the prime factors of l(o)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4606, 4676, 4742, 4804, 4862?\n\"Answer: -2*u**2 + 76*u + 4532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nuuunuuuunnnnnunnu. What is prob of picking 4 n?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 40. Let n(p) = -p + 8. Let l(v) = 11*n(v) + 2*y(v). Let x = -12 - -8. Let z be l(x). Solve -8 = z*s, 2*a + 3*s = -2*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v + 12 = 128 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 234\/(-481)*6\/(-54). What is the third biggest value in w, -3, 3, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2620*j = -60665 - 21169 + 13714 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(612) + 2 + sqrt(612) + 1))**2 + -3.\nAnswer: 2592*sqrt(17) + 88449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 5*j + 3*j - 1. Let b be (-10 - -12) + 1 + 2. List the prime factors of n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 338973375 by -975.\nAnswer: -347665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/17 - 6*c**2\/17 - 92*c\/17 + 336\/17.\nAnswer: 2*(c - 6)*(c - 4)*(c + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/189 - (-6)\/27. Let i(r) be the first derivative of h*r**2 + r + 5 - 5\/4*r**4 + 0*r**3. What is i(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65191 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 323092 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000100100010100111110001 - -101?\nAnswer: 1011000100100010100111110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2054*l*m**3 + 30*l*m**2 - l*m + 2*m**4 - 2913035*m wrt m?\nAnswer: -12324*l*m + 60*l + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + g + 19. Let a be j(0). Suppose -5*h + a = -3*q, -5*q - 11 = -5*h + 4. Suppose 0 = 2*w + 10, 3*w + 6 = -m - q*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 1104?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*j - 2416 = -39728 - 28326 for j.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 12*u**2 + 40*u**2 - 20*u**2.\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -40.01. Let a = -17 + 25. Let x = a + -13. Sort x, 0.1, k in decreasing order.\nAnswer: 0.1, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 65380037?\nAnswer: 65380039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d - 18. Let s = d + -13. Let o be ((-8)\/s)\/((-2)\/5). Solve 0 = -o*k - 5 - 3, -5*w = 3*k - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 7. Let b(x) = 25*x + 108. Let c be b(-4). Solve -c*s - u = 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165168 and 15984.\nAnswer: 495504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 40*w**3 - 42*w**3 + 1 + 6*w**2 - 8*w**2. What is j(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 29181*b**2 - 292035*b - 730275.\nAnswer: 3*(b - 9737)*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 5*o**2 - 17*o + 2. Let u be b(-8). Let q = 168 - u. Does 37 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510972603 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026 + 6462761989?\nAnswer: 6462761989.0026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 5, -25 in descending order.\nAnswer: 5, 4, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 24*y + 154 - 90 = 0. Put y, 5, -1789 in increasing order.\nAnswer: -1789, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - m - 2037 = 3*v, 2*m - 4070 = 4*v. Let w = 1827 + v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/833 and 109\/196690?\nAnswer: 9637810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14035, 57340, 129505, 230530?\n\"Answer: 14430*u**2 + 15*u - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21200212001 + -1000?\nAnswer: 21200211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -13) + 1 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkvvv. Give prob of sequence vkv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3578762 + -296.6394938. Let d = -42.7 + 340.7. Let n = d + y. Round n to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k**3*q*x - 2*k**3*q + 427*k**3 - 201*k**2*x + 39*k*q*x + 22*k*q with respect to x.\nAnswer: 5*k**3*q - 201*k**2 + 39*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105, 213, 321?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.26 + -44.249. Let t = n + -0.011. Let m be -1 - ((-10)\/6 + 0). Which is the third smallest value? (a) m (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1879920885 rounded to four dps?\nAnswer: -0.188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 239256.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 103361868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154917 by -3.\nAnswer: 51639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhgbbhbbbhbg. Give prob of picking 2 h and 1 g.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78176578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**6\/30 + 5*p**4\/3 - 8*p. Find the third derivative of a(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -0.77. Let r = -4.98081 + -0.01919. Let o = -34 - -30. Which is the smallest value? (a) r (b) o (c) -2\/7 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -8. Let r be 3\/26*y\/(-3). Let z(i) = -i**2 + 6*i - 4. Let h be z(5). Does h = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13025531977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -14418000 to the nearest one hundred thousand.\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 37940430.\nAnswer: -1\/7588086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*f + 870 - 870)*(2 + 1 - 2) + 0*f + 3*f - f + (0*f - f - f)*(0 + 2 - 3) + 26*f + 19*f - 21*f.\nAnswer: 51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3812639 is divided by 51?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 293*i. Let d(g) = -7*g**2. What is s(d(u))?\nAnswer: -2051*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -164 and -161 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 3}. Give prob of picking 1 t and 3 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:10 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(3))**2 + (sqrt(3) + -5 + -3*sqrt(3))**2 + 5.\nAnswer: 20*sqrt(3) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:04 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 5*i**4\/12 - i**3\/6 + i**2\/2 + 2*i. Let k be x(1). Let n be 4*(5\/(-2))\/k. Sort -5, n, 1\/4.\nAnswer: -5, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:43 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7841 + 338?\nAnswer: 8179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -101, -170, -239?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 4) + -4 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/4*(-19)\/76?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -1\/3*t**3 - 1\/30*t**5 + 0 + 25*t - 1\/120*t**6 + 3*t**2 + 0*t**4. Let h(m) be the first derivative of d(m). What is h(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 87 = -5*i, i - x = 23 - 35 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 13, h: 2, i: 5}. Give prob of sequence ihf.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 11*t**6\/20 + 20*t**3\/3 + 36*t**2. Differentiate k(q) wrt q.\nAnswer: 198*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**3 - 15*b**2 + 3*b + 12. Let c be a(-4). Let d be 0 + (-42*1 - -1). Let k = d - c. Let i(n) = -n**2 + 8*n - 1. What is i(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 154, 185, 216, 247?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -54850, 2, 3, -6 in descending order.\nAnswer: 4, 3, 2, -6, -54850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*n + i - 13, -3*n - 2*i = 28. Let u = -3 - n. Suppose 0 = -4*a - u*a. What is the closest to 0.1 in a, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28063 - -41437. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17679, 17555, 17431, 17307, 17183?\nAnswer: 17059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2\/5 + 17862*u - 357208\/5 = 0?\nAnswer: 4, 44651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29216 is divided by 521?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z + 35. What is r(20)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 - 2*q + 2. Let x be (-7 + -3)*(-1)\/(-2). List the prime factors of y(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18 - 0) + -3 + -1. Let v = s + -11. Put v, 4, 2 in decreasing order.\nAnswer: 4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 429063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*c - 34, -2*c - 5*x = -15 + 1. Calculate the highest common divisor of 132 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:07 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 12 = 28. Let i = 9 + a. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*l + 3*z = -5, -4*z + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2 + sqrt(1088)*1 + sqrt(1088) - (sqrt(1088) - (sqrt(1088) + -2 + 4 + sqrt(1088)))) + 2 + -2*sqrt(1088) + -2*sqrt(1088)*-6 + sqrt(1088) + -5)**2.\nAnswer: 672*sqrt(17) + 213257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15ccbb (base 13) in base 4?\nAnswer: -2010132310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83148 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 22. Let q be i(-10). Let b be (0 - 1) + (q - (-329)\/105). Sort b, -18, 5, -3 in decreasing order.\nAnswer: 5, b, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*l + 2, 2*l - 6 = -3*z - l. Solve 0 = 5*f + z*r + 5, -r = -4*f - 5*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**7\/840 + n**6\/72 - n**5\/40 + n**4\/24 + 55*n**3\/3 - 2*n + 20. Let h(c) be the second derivative of s(c). What is h(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -11*h**3 + 20*h**2 + 29*h - 97. Is t(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 397*m + 793*m + 1 + 11 - 415*m to the form h*m + z and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -5.8. Which is the nearest to 1\/2? (a) j (b) -2\/13 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.59162 - 0.09162. Which is the nearest to 0.04? (a) 3 (b) m (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m**3 - 10*m + 3. Let q(j) = -6*j**3 + 11*j - 4. Let d(b) = -77*b - 151. Let n be d(-2). Give n*q(a) + 4*c(a).\nAnswer: 2*a**3 - 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*z - 56, -7*z = -5*t - 8*z + 106. What is the highest common factor of 44 and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*t = 70*t - 8, 4*n + 9*t - 4*t + 22 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = -2*o. Suppose 2*i - 16 = -2*i. Suppose -k = -3*k + i. Solve -5 + o = -k*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1726 + -1711. Let g = 42 + -72. Let u = 11 - g. What is the remainder when u is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*f**2 - 3*f**2 - 16*f + 12*f**2 - 3*f**2 wrt f?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -106, -163, -216, -259, -286, -291, -268?\n\"Answer: y**3 - 4*y**2 - 52*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j - 36. Calculate the smallest common multiple of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6064*n + 470936 + 318699 = 4191*n for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2*t - 220 = 0, -189 = -4*w + t + 33. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1012222221021?\nAnswer: 1012222221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-91)\/28 - -4)\/(1\/4). Let a = 7 + -10. Let u be (a - 40\/(-6)) + f*-1. Put -1, 1\/4, 2\/7, u in descending order.\nAnswer: u, 2\/7, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.02. Let y = -5.02 - o. Which is the nearest to -2\/5? (a) -2\/9 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3974799 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.5541 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - 4*y - 3, 3 = -2*a - 3*y. Let h(r) = -r**2 + r + 3*r - r**3 - 14 + r + r - 7*r. Determine h(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 19 + 1. Sort y, -2, 1 in ascending order.\nAnswer: -2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*136\/12*-1. Let m be (20\/(-7))\/(153\/p). Let t = m + -12\/7. What is the common denominator of 27\/8 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/24 and -131\/486.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -111022022?\nAnswer: 111022023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3621\/8 - 452. What is the common denominator of l and 37\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 853*q + 8. Is g(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2934, -3 in increasing order.\nAnswer: -2934, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3297.666 litres?\nAnswer: 3297666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -46810780 and -46810781 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 48. Suppose 211*k - 213*k = -1196. What is the lowest common multiple of k and w?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 7:41 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuuuumuuuuuuu. What is prob of picking 1 u and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -11, -5, 1\/24?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 7*f**2 - 18*f - 6. List the prime factors of h(-8).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/4)\/((34125\/(-1768))\/25) and 53\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 15, -3*k - f + 20 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/((-15)\/10) - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4961605*q**2 - 1243330?\nAnswer: -9923210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:04 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + d + 3. Let z = -195 - -203. Let t be (-6)\/((-36)\/z*3\/9). Let s(p) = -p**2 - 2*p - 4. Give t*s(h) + 5*u(h).\nAnswer: h**2 - 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 141\/(-21) + -14 + 16 + 5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, -42.7, 45.2 in increasing order.\nAnswer: -42.7, -1.2, 45.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18 and -14.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3) - (-5)\/(-15))*-3. Solve t = -j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -106*q**3 - 2*q**2 - 4. What is w(-2)?\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -31. Let p be (-5)\/(-2)*(-2)\/(-10). What is the nearest to c in 0.3, p, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 6*r = -0*r. Let a(m) = 39 - 36*m + 34 + 9 + 37*m. What is the tens digit of a(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*r - 40. Suppose 3*x = m + 3, 3*x + 3*m = r + 5. What is the common denominator of x\/7 + (-1875)\/168 - 1 and 28\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3043, 4833, 6623?\n\"Answer: 1790*l + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiitjii. What is prob of picking 3 i and 1 j?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uguugggyggu. Give prob of sequence ggy.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1707 + 1937. Calculate the remainder when m is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5139726 + 2\nAnswer: 5139728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/8 and -71\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3\/5 - 3212*t**2 + 16072*t\/5 + 32128\/5 = 0.\nAnswer: -4016, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104*p + 367 + 126*p - 2*p**2 - 247.\nAnswer: -2*(p - 15)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 941*x + 1930*x = 117850 + 192218 for x.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2807\/15 and 187 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115372 divided by 2809\nAnswer: 115372\/2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 3*p**2 - p - 1. Let c(x) = 5*x**3 - 12*x**2 - 5*x - 3. Let k(j) = 2*c(j) - 9*m(j). Let h = 27 - 30. Calculate k(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 - 6*t**2 - 11*t**3 - 5*t**2.\nAnswer: -11*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from igiiigiiiigiiigigiii.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215249 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/11989 > -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19348, 77405, 174168, 309637?\nAnswer: 483812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.15 - 9.868. What is m rounded to one dp?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.023 - -0.023. Let t = -11.5 - o. What is the fourth biggest value in 1\/4, -3, -0.2, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*f + 52*f - 5*h - 2730 = 0, 2*h + 6846 = 5*f. What is the smallest common multiple of f and 18?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*s**5 - 93*s**5 - 6*s**5)*(10 - 4 + 0).\nAnswer: -762*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4 - 520*b**3 - 16*b**2 + 2080*b = 0.\nAnswer: -2, 0, 2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 21*w - 3 - 11*w in the form p + s*w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 35703*g + 356968. Calculate k(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 6:52 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 29768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 66, -1, -104, -243?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 7 - -11) + 14 + (14 - 50)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 4*m - 9. Let s be b(-3). Let h be (-20)\/(-15)*9\/s. Let 2\/5*v**4 + 0 - 4\/5*v**3 + 0*v + h*v**2 = 0. What is v?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 194740770 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.275978l in millilitres?\nAnswer: 1275.978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cej when three letters picked without replacement from eejcceqqcjeeq.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1 + 0 + 1 + 1 + (3 - 2 - 2)*(3 + 2 - 4) + 2 - 3 - 1 + 0 - 3 + 1)*((4 - 4 - 3)*(-k + 6*k - 4*k) + 0 - k + 0).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1455491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5749555*n**2 - 5749556*n**2 + 11499114*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 135.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -30 - 24*(40\/(-12))\/(-2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w + 1. Let u(i) = i**2 + 8*i + 9. Suppose -3*f + 12 = -5*f. Let g be u(f). Is b(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101231 (base 4) to base 14.\nAnswer: 5ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 583344*i**4 + 14*i**3 - 5840*i + 72 wrt i?\nAnswer: 7000128*i**2 + 84*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.90651 micrometers to millimeters.\nAnswer: 0.07590651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6468)\/(-504))\/(-77)*(-150)\/1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.1 + -3.3. Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 1)*-2)**2 + 0 - (sqrt(88) + (sqrt(88) + (sqrt(88)*-1 - sqrt(88) - sqrt(88)) + sqrt(88))*1)\/(4*(sqrt(8) + sqrt(32))).\nAnswer: 24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**3 - 4*c**2 + 5*c + 1. Determine s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/16)\/(2\/(-8)). Calculate the least common multiple of 24 and (2 + x)*-1*(-5 + 4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -1) + (-8 - (-12 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 0*g + 4*t + 32 = 0, t - 3 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -14. Solve 0 = 5*x + 5, -2*a = 5*x + m + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 20*b + 5. Let v(h) be the second derivative of b*h - 1\/6*h**3 + 0 + 1\/16*h**4 + 1\/8*h**2. What is s in v(s) = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.455 - 1.235. Let f = c - -6.6. Which is greater: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.0119 + 0.0119. Which is the second smallest value? (a) -3 (b) 0.7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + o**2 + 9*o - 4. Let q be h(-3). Find the third derivative of 582*z**2 - 14*z**5 + 2 + 31*z**3 - 481*z**2 + 21*z**5 - 8*z**q wrt z.\nAnswer: -60*z**2 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a factor of 601425440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/21, 4, 2\/105, -1\/94, 2, 3\/8, 1\/8?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 12 = 7*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 11*o + 16. Let j be q(-13). Let m be (j\/(-25))\/(1\/5). Solve -m*r - r - 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 + 7*l + 8. Let u(y) = -y**3 + y. Let i(g) = -u(g) + z(g). Let r be i(-3). Suppose 278 - r = 3*b. List the prime factors of b.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(357)*1)\/sqrt(7))\/sqrt(3) + 2*-3*(sqrt(17) + 1))*3.\nAnswer: -15*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19038514.8 rounded to the nearest one hundred thousand?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2450 + 2444. Let u be -4 - 0 - (-1 - -2). Which is the closest to -1\/3? (a) q (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d - 11. Let w(f) = 4*f - 5. What is 6*u(r) - 13*w(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 1 - 2 + 1 - 3 - 12*m. Suppose -2*g - l - 3 = 0, 6*l = -3*g + 4*l - 4. Determine n(g).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times 9?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f - 31. Let a(o) = -4*o + 15. Suppose 3*t = 2*i - 11, -24*t + 22*t - 2*i = 24. What is t*a(v) - 3*x(v)?\nAnswer: v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167717263.\nAnswer: 1167717263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**3 - 29*u**2 - 11*u + 116. Give n(-14).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*w**2 + 22*w**2 + 13*w**2)*(18 + 27 - 34 + w) - 2 + 2*w**3 + 4*w**3 - 5*w**3.\nAnswer: -5*w**3 - 66*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 894960548.\nAnswer: 2, 43, 223, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 20034*d - 19813. Let f be i(1). Let o be (0 - 2)\/(2 - 1). Let p(t) = -6*t + 1. Let v be p(o). Calculate the highest common divisor of f and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 2*q**2 - 2*q + 3. Suppose -35*j + 19*j = -48. Calculate i(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -565*j**2 + 570*j - 5.\nAnswer: -5*(j - 1)*(113*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 352.24 times -1039\nAnswer: -365977.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -706252 + 1592684. Let s = 886573.0093 - k. Let y = -141 + s. Round y to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3038531 a multiple of 538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 66410274*c + 59614375 wrt c?\nAnswer: 66410274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = u - 7*f + 1751 - 1818, 164 = 2*u - 4*f for u.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 13*h + 3. Let o(b) = 70*b - 501. Calculate -6*j(q) + o(q).\nAnswer: -8*q - 519","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/(-15)*10\/4. Suppose f*n = 12*n + 8. Suppose -7*o + n*o - 84 = 0. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (175\/125)\/((-168)\/(-80))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 67, 65, 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -213481 (base 9) in base 2?\nAnswer: -11111000100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4274 + -4274.0000675. Round x to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 521606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, -1\/7, 1725525.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6397 + 1621 = 0. Suppose -k = -4*l + 276. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, n: 3, m: 4, h: 4, d: 1}. What is prob of picking 2 m and 1 n?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 869576384 and -2?\nAnswer: -1739152768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36044)\/(-36) - (-10)\/(-45). Suppose -2*l + 5041 = 3*l - j, -l + 2*j + o = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**5\/60 - f**2 + 15*f. Let q(i) = 0*i + 3*i**2 - 4*i**2 + 0*i. Determine q(p(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 10) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {z: 5, o: 1, s: 3, y: 3, p: 1, k: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3 + sqrt(128)*2 + -1*sqrt(128) + -4)*-3)**2*5.\nAnswer: -480*sqrt(2) + 5780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - t + (-4 + 0 + 2)*(-3*t + 0*t + t) - t + t - 2*t)*(3 - 3 + 2)*(679 - 169 + 1937) in the form q*t + k and give q.\nAnswer: 4894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04219 + -0.24219. What is the third biggest value in 20\/17, 0.5, -4, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -13*u + 185. Suppose 3*b + 5*i + 13 = -6, -2*b - u = 5*i. Let d(o) = 623*o**2 + 2*o + 1. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12007\/12 + -993. Let d = -2\/915 - -2141\/2745. Calculate the common denominator of t and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-22)) + (9 - 4). Is 43640 + (-2)\/x*4*6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6877 (b) 0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14948046 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1874880 by -252.\nAnswer: 7440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -78 and 14.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-2)\/(4\/(-18)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 64922, 129787, 194652, 259517, 324382, 389247?\n\"Answer: 64865*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12110\/(-1557)*36\/(-168)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5 = 65. Suppose 5*b - 4*m - g = 400, 3*b - 259 = m. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*m - 14 - 9 = 0, 3*u = 4*m. Let y be u\/(-14) - (-150)\/(-35). What is the common denominator of (29 - 0)\/(2 + y) and -5\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -2.8. Let p be (1\/3)\/((-20)\/24). What is the closest to -0.2 in p, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 - (4 - (-16)\/(-4)). Suppose -2*u - u = -75. Suppose 5*v + 5 = 4*b, b = 3*v - 3 - 1. Solve u = -6*z + z + b*l, 4*z = -l - r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {o: 5, g: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -63095.\nAnswer: -1\/63095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 13923.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.661 + -164.359. Let p = -162 - l. What is p rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))\/p)\/p**(-2\/7)*(p\/(p\/p**(3\/2)))\/(p*p**(-5)*p*p) assuming p is positive.\nAnswer: p**(39\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + i + i**2. Let b(x) be the first derivative of 5*x**4\/12 - 5*x**2\/2 + 3. Let t(q) be the second derivative of b(q). Give t(u(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*u - 19 = 0, -2*u = -3*o + 5*o + 22. Let c be (1 - (-3 - -1)) + 0. What are the prime factors of (-3)\/o*c - -146?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 216, -1\/4, 0.05, 2.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000363055 rounded to 6 dps?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 36.44 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-8 - 1 - -5 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, 1 y, and 1 u when four letters picked without replacement from {b: 2, j: 3, u: 1, y: 1, i: 6}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 466553, 464577, 462603, 460631?\n\"Answer: w**2 - 1979*w + 468531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15830.36908 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t + 7*t + t**2 - 399 + 398 - 3*t + 0*t. Determine o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*q - 48, -3*o + 10 = 3*q - 14. Suppose -3*l + o = 2*l. Suppose -l*w - 465 = -7*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222001332 (base 4) in base 10?\nAnswer: -172158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2)\/t)\/t)**(7\/2)*t**1*(t*t\/((t**(-5)*t)\/t*t))\/t*((t\/(t\/(t\/(t**9\/t)*t)))\/(t*t**(-2\/13)*t*t))**18 assuming t is positive.\nAnswer: t**(-8241\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30428\/4 + -4*((-140)\/(-16))\/(-7). Calculate the highest common divisor of h and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 3*u**3 + 2*u**4)*(-59*u + 2566 - 1282 - 1282) + 5*u**5 - 4*u**5 + 0*u**5.\nAnswer: -117*u**5 + 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -0.08\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1388*d**2 + 491*d**2 + 574*d**2 to w + v*d + k*d**2 and give k.\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1864691, -1864812, -1864933, -1865054, -1865175?\nAnswer: -1865296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17091984 + 32\nAnswer: 17092016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:27 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1106, 15 in increasing order.\nAnswer: -5, 4, 15, 1106","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 35 = -0*g. Solve 3*d = g - 19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 42 = 2*m, 0*m - 6 = 2*m. Let s be -5 - (-5 + 0 + 1). Let c be s\/4*180\/f. What is the highest common factor of c and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by 3\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*1)\/sqrt(10) + sqrt(19))**2 + sqrt(1539) + sqrt(1539) + (sqrt(1539) + 3*sqrt(1539))**2.\nAnswer: 18*sqrt(19) + 24643","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, m: 3, s: 4, e: 1, p: 3}. Give prob of sequence ss.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -443 + -7?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 164 = -5*b, 5*b - 4*s - 142 = 25. What is the highest common factor of b and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-5) - (32 - 29). What is the smallest value in 2, b, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1901, 7644, 17219, 30626, 47865?\nAnswer: 68936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8*h - 21 = 0. Suppose -m = -h*u - 75, 193 = 4*m - m - u. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**3*z**2 - 2*h**3*z + 170*h**3 + 33*h*z + 7*z**2 wrt h?\nAnswer: 6*h*z**2 - 12*h*z + 1020*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Suppose -5*t + 64 = a + 15, 4*a = u*t + 311. What is the remainder when 27 is divided by (-1)\/(-5) + a\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 2. Let x be y(2). Suppose 0*i - x*i = -444. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50765 and 998899?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/(p*p**(2\/3))*p))**(-19)\/(p**18\/p**(2\/15)) assuming p is positive.\nAnswer: p**(-743\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - u + 10. Calculate g(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.36? (a) 27 (b) 5 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 73*j + 1256. Calculate s(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10. Let z(q) = -q + 2. What is z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 8, -4, -20, -40?\n\"Answer: -2*o**2 - 2*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h = -21*h - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**5\/s)*s))\/(s*s**(2\/25))*(s**1)**(-6\/7)*((s\/((s*s**(5\/2)\/s)\/s))\/s)\/s*s\/s**1*s**(-1\/2)\/s**(-1\/6) assuming s is positive.\nAnswer: s**(-1859\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1344 divide 470400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/285641?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5493156703 to the power of 1\/2, to the nearest integer?\nAnswer: 74116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**6 - 2*b**5 - b**3. Let j(t) = 327*t**6 - 8*t**5 - 4*t**3 + t**2 - 337*t. Let u(f) = j(f) - 4*x(f). What is the third derivative of u(h) wrt h?\nAnswer: 38760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + sqrt(68)\/sqrt(4).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.8789999 and -0.12.\nAnswer: -0.225479988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3 - 350972*v**2 - 7698658560*v + 7699009536 = 0. What is v?\nAnswer: -43872, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1*sqrt(1088))*-1 + (sqrt(1088)*-2 - sqrt(1088))*6*2 + -4)**2.\nAnswer: 1332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401709 by -8547.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -4. Let l(u) = u**3 - 6*u**2 + 4*u - 2. Let k be l(y). Let a = 17 + -6. What is the greatest common factor of a and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47636, 47873, 48262, 48803, 49496, 50341?\nAnswer: 51338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5785)\/(-3916) + (-2 - 1\/(-2)))*-8. What is the biggest value in z, -3, 262?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r - 15 = -v, -5*r = -v + 18. Let c be (v\/(-3))\/(4\/(-516)). Let p be (c\/(-12) - -7)*(-4)\/(-1). Which is smaller: p or -14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -11.9. Let s = -0.06 - -1.06. Let x = 81 - 159\/2. Which is the closest to m? (a) -0.3 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + -2 - -5 - 35\/4. Which is the fifth biggest value? (a) 3 (b) -34 (c) -4\/7 (d) o (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3 + 42*s**2 + 43*s = 0 for s.\nAnswer: -1, 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 4*v**4 + 3*v**4 + (-1 + 1 - 3*v)*(-3*v**3 + 5*v**3 + v**3) - 2*v**4 - v**3 + v**3.\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.45 + -4.35. Which is the closest to 1? (a) t (b) 2\/9 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 3*t - 4 + (-2 + 0 + 0)*(-4*t + 3*t + 0*t) - 4*t + 4*t - t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + (-9)\/3)\/(-1). Let l = 0.4 + -0.5. Sort l, -0.5, m in descending order.\nAnswer: m, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**4*h + 605*g**4 + 2*g**3*h + g**3 + 536*g**2*h + 174*h + 2 wrt g?\nAnswer: 168*g*h + 14520*g + 12*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7118258.044 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -2.6. Let g be 1*(-2)\/8*-2. What is the nearest to -0.1 in y, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30312042 (base 6) in base 8?\nAnswer: 3231172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1256218 millilitres?\nAnswer: 0.0001256218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20370 divided by 2910.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1314, 2, 1, 3 in increasing order.\nAnswer: 1, 2, 3, 1314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*y**3 + 23*y**2 + 741*y**3 - 2*y**2 - 18*y**2 to the form u*y**3 + f*y**2 + a + x*y and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 4*x + 9, -3*x = v - 9. Calculate the lowest common multiple of (-9)\/(-3) - 9\/(-3) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 5651831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*z - 3397*z**2 + 7*z**4 - 3388*z**2 + 0 - 2 + 10192*z**2 - 3383*z**2 wrt z.\nAnswer: 84*z**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*c + 3*g = 52*c - 32, -5*c - 37 = -2*g for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2834, -2823, -2798, -2753, -2682, -2579, -2438?\nAnswer: -2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 r, and 1 c when four letters picked without replacement from crrvjvv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5\/3, -0.3, -0.2, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unqnnnnzzuuuzunvf. Give prob of sequence vz.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376278 by 1054.\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + 3c4?\nAnswer: 3da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 42, 132, 310, 606, 1050, 1672, 2502?\nAnswer: 3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8\/11)\/u)\/u**(13\/4) assuming u is positive.\nAnswer: u**(-219\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/5 and 2178\/336*(-32)\/840.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*p - 23*p + 61 + 24 - 21*p + 5*p**2 - 19*p.\nAnswer: 5*(p - 17)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -1\/4*x**6 + 0 + 0*x + 1\/2*x**5 - 1\/112*x**8 + 1\/14*x**7 - 3*x**2 + 1\/2*x**3 - 5\/8*x**4. Factor l(i).\nAnswer: -3*(i - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -l + 3087, -z + 3*l + 375 = -1165. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001101011001 + 10111101010?\nAnswer: 11011100101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.15 - 0.15. Let f = i - -0.3. Sort f, 0, -4.\nAnswer: -4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*n - 9. Let l be (-6)\/(2 - (0 + n)). Sort 1\/12, -2\/7, l in decreasing order.\nAnswer: l, 1\/12, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j + 10. Calculate h(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.099995 - 0.1. What is k rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 210814\nAnswer: 105407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 163795?\nAnswer: 1801745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0595906722 to three decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 11*f + 2*f)*(-49 - 56 + 123)*((-3 + 0 + 2)*(0 + 3 - 1) + 1 + 1 - 4 + (3 + 1 - 3)*(0 + 2 - 1)).\nAnswer: 432*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Round -24482180 to the nearest one hundred thousand.\nAnswer: -24500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/117)\/(8\/8)*13)\/(-10)*95?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*i + 2, 2*o = -0*i + 5*i - 14. Factor 879*m**i + m + 0*m - 880*m**2 + 0*m.\nAnswer: -m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -231.56 + 215.46. What is the closest to 1\/2 in 14, p, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.742400384 - 3?\nAnswer: 6.742400384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j - 6*j + 0*j + 3*j + 9. Let c be k(0). Suppose -n = 3 - c. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1473 - -4490\/3. What is the common denominator of 2\/63 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -579\/2, -4\/249, 0, -1\/5 in ascending order.\nAnswer: -579\/2, -1\/5, -4\/249, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*i**4 + 152*i**3 - 212*i**2 + 112*i - 16 = 0. Calculate i.\nAnswer: 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 673622*q*x**2 - 452*q*x + 910*q wrt x?\nAnswer: 1347244*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-30)*v*v*v**(24\/7)*v assuming v is positive.\nAnswer: v**(-165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -63 + 39 + -4 + 69?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -3, -54, -159, -336, -603, -978?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 - (116 - 28) - 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 624 and 123448?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 1926936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2513 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*l = -138*l + 1876 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -4.9. Let d = -8 + v. What is the second smallest value in d, 2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50859 divided by -6.\nAnswer: -16953\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:55 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 12 + 3. Suppose 2*t - a = 3. Sort 4, t, 13.\nAnswer: t, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -26. Solve -5*f - 2 = -4*r, w*r - 4*r = -5*f - 20 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-30))\/(26*(-25)\/(-6500))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -41*s + 6. Let f be w(-3). Let j be f\/78 + 6\/(-39). Suppose 6*p**3 + 6*p - 3\/2 - j*p**4 - 9*p**2 = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505093 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -85e - -17e73?\nAnswer: 17615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*n + 36, 2*i + 4 = -2*n - 2*i. Let j be (-3)\/2 - 5\/n. Let f be (-25)\/(-10) + j\/(-2). Solve f = -0*c + c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 23*k - 160 = -479 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = 4*i, -5*i - 7 = -0*i + 3*y. Let l be (-2 - 8\/(-2)) + i. Suppose l*z + 24 = 3*z. Calculate the lowest common multiple of z and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 11010?\nAnswer: 1101b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 30\/6)\/2. Let y(u) be the first derivative of 2\/3*u**3 + 1\/2*u**4 + 1 + 0*u + d*u**2. What is the third derivative of y(p) wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**4 + 2*w**4 + 0*w**4)*(-30*w + 5 + 32*w + 12*w) + 4*w**5 - w**4 + w**4.\nAnswer: -24*w**5 - 10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155311, 310622, 465933, 621244, 776555?\nAnswer: 931866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -151 + 366. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a - 23*a - 26*a - 31*a + 112*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28530.71*-212.\nAnswer: 6048510.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 2\/383267, -0.4, 6\/7?\nAnswer: 2\/383267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -16*w**3 + 4*w**2 + 6. Let c(p) = 33*p**3 - 7*p**2 - 11. Let t(x) = -445*x + 7. Let n be t(0). Give n*b(z) + 4*c(z).\nAnswer: 20*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.605539 to 2 decimal places.\nAnswer: -13.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5989, 5976, 5953, 5920, 5877?\nAnswer: 5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p**3 + 18*p**3 + 3 + 2*p**2 + 10*p**3 + 1 + 27*p**3 to a + j*p + g*p**2 + v*p**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -115679.\nAnswer: -46\/115679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + -0.08. Let x = 0.06 + b. Let w = -56897 + 56892. Put w, x, -2\/5, -1\/3 in increasing order.\nAnswer: w, -2\/5, -1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 8*a - a**3 + 0*a**3 + (a + 5 - 5)*(-2*a**2 - 3*a**2 + 2*a**2).\nAnswer: -4*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3498036265242 + 3.\nAnswer: 3498036265245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-28) + (-7)\/4\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174268 a multiple of 1311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (540\/81)\/((-1)\/(-3)). Suppose -3*q = -4*x + 560, 0*x - x - 3*q + 140 = 0. What is the highest common factor of x and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60840710?\nAnswer: 2, 5, 7, 869153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15573 from -352013.7587.\nAnswer: -336440.7587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 - 14 = 0. Calculate the least common multiple of j and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2. Let d(t) = 28146 - 28146 + 139*t**2. What is y(d(n))?\nAnswer: 57963*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180.154 + -0.154. Let k = z + -156.4. Let t = -24 + k. Sort t, -0.3, 0.\nAnswer: t, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3368806?\nAnswer: 2, 7, 41, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(4 - (-598)\/(-148)) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 612 and 7043508?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101864 divided by -25466?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 40.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8008 divided by 572.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 r when three letters picked without replacement from {g: 3, r: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/564 and -55\/1058559.\nAnswer: 199009092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 63c8 (base 14) to base 9\nAnswer: 25562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 1\/3 (b) 4 (c) -0.676\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:51 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117807472?\nAnswer: 2, 23, 113, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -86836802 - 1335\nAnswer: -86838137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -8 - (1361 - 1338)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15932 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3\/3 + 58*m**2\/3 - 11*m.\nAnswer: -m*(m - 11)*(5*m - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {d: 11, g: 1, k: 7}?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -128 - (-69 - 13 - -44)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/2))**50\/((m\/m**(2\/5))\/m*m)**12)\/(m\/(m**(-1)*m)*(m**(3\/2)*m)\/m*(m**(2\/3))**(-2\/15)) assuming m is positive.\nAnswer: m**(277\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 7*g + 3. What is the remainder when -7 + (-3 - -6 - -11) + 39 is divided by j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9270)\/(-270) + -34)*90?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -45*d - 18. Let a be o(-10). Suppose 0 = -j + 9*j + a. Let g = -52 - j. Sort -2, -3, g in increasing order.\nAnswer: -3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 6*p + 7. Calculate the remainder when 13 is divided by t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-84))\/(-2)*7*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/6 - 1648*r\/3 + 462165\/2 = 0.\nAnswer: 495, 2801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7343 - 5200. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 9:19 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**3 - 19*i**2 - 583*i - 2209. Give l(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-49) + (-560454)\/(-21). Is 16 a factor of n\/56 - (17\/(-7) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 113 and 15720.\nAnswer: 1776360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 0*d + 8, 25*n + 10*n + 21*n - 48*n - 3*d = 132 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*h - 5*h + h)*(138 - 15*h - 138).\nAnswer: 15*h**2 - 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -947\nAnswer: -11\/947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -2.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 z when four letters picked without replacement from wwwwwzwwzwwwwz?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 21*m**2 + 70*m - 18. Let w be f(-24). Solve -g = 4*g - 5*s - w, 4*g - 5*s - 26 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909 + 81 = -902*j + 1780 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydyyddyyyyy. Give prob of sequence ydy.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237226, -474447, -711668?\nAnswer: -948889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650 = 6214*t - 6164*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 + 12*i - 126*i**2 + 5 + 137*i**2 - 10*i - 16 to the form w*i**2 + b*i + c*i**3 + f and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*g*p**3 - 7*g*p - 54*g + 51*p**3 - 6*p**2 - 4*p + 10 wrt p?\nAnswer: 60*g*p + 306*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*s + 212*s = -38178. Suppose -a - w = -1034, 375 = 3*a + w - s. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -35, 3082, 2 in descending order.\nAnswer: 3082, 2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -6. Suppose s = 4*g, 3*g - s - 1 = -c*s. Let q(r) = 9*r**2. What is q(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -147. What is the highest common factor of 129 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3194 divide 563114976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*4*-3)\/sqrt(5))\/(sqrt(84)\/(sqrt(972)*-4)).\nAnswer: 432*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1650574 and 11554018.\nAnswer: 11554018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-80)\/(-12))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19201712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (384\/(-90))\/((-2380)\/2550).\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.37 + 1.69.\nAnswer: 4.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**5\/2 + 234*k**4 + 1377*k**3\/2 - 6*k**2 - 918*k = 0. What is k?\nAnswer: -153, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2*sqrt(72) + sqrt(72) + 3)*2 + (2 + 0 + sqrt(72))*-3)**2.\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1005 and 39996990.\nAnswer: 39996990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 142 - 38 = 0. Let s = z - 9. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6064 - 6084. Let y be (-2)\/(-3) + 347\/18. Let c = o + y. Is c > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 3 (b) -0.7 (c) -21\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/8*(-54)\/(-162))\/((-15)\/(-20)*1).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 1. Suppose 0 = -28*t + 18*t + 10. Let o(q) = -3*q**2. What is t*o(c) - 5*d(c)?\nAnswer: 2*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100011 (base 2) in base 4?\nAnswer: -2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, v: 5, n: 6, s: 1}. Give prob of picking 1 v, 1 u, and 1 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001006552171 rounded to 6 decimal places?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 424807415?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 4*r + 11. Let j be n(-6). Let t = j - -53. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by 27.\nAnswer: -37\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1. Let x(y) = -6*y + 5. Let p(c) = -4*w(c) - x(c). Let d be p(1). Let o be (-4 + 1)\/(d + -6). Is 2\/7 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -4*m + 383*o + 1172, -3*m = -3*m + 4*m + 5*o + 39 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 132 - -4 - (2 + 0 + 2). Let b = f + -131. Solve 2*k + b = -3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 114*b*l**2*v**2 - b*v**2 + b + 10*l**2*v - 98*l**2 + 17*l*v**2 + 2*l - 2*v**2 + v wrt v?\nAnswer: 228*b*l**2 - 2*b + 34*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 47*b - 1224. Determine a(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*((-1 - 7 - 1)*(0*x + 0*x + 2*x) + 3*x + 0*x + 0*x) + (0 - 5 + 3)*(-4*x - 3*x + 4*x))*(0 + 0 + x**3).\nAnswer: -24*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 3*r + 6. Let k be z(-5). Suppose 6*g = 9 - 45. Let n = k - g. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by 160.\nAnswer: -39\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j + j)*(-3 - 1 + 2) + 18121*j - 27907*j + 1 + 18747*j.\nAnswer: 8957*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/222)\/((-2)\/(-14))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 17834?\nAnswer: 89170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*y - 7. Suppose -2*t + l = -8 - 11, 5*l = -t + 15. Calculate the remainder when t is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002020 + 0?\nAnswer: -1002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1460, 3, 8, 5, 0 in increasing order.\nAnswer: 0, 3, 5, 8, 1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/14)\/(5\/245*7). Let a be (h - (2 + -2))\/(7\/133). Let c = a + -701. Round c to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**2\/2 + 4*t - 8. Let c(k) = -3*k - 7. Let m(i) = -2*c(i) - 5*h(i). Let o be m(7). Solve -y = 4 - o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25*(2 - -1) + 0\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/5, 0, 1, 0.2, 3.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3576269, 3576235, 3576179, 3576101, 3576001?\nAnswer: 3575879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = 4, 4*f = 7*m - 10. Let v(d) = -25*d**2 + 9*d - 13. Let o(j) = -6*j**2 + 2*j - 3. Calculate f*v(z) + 26*o(z).\nAnswer: -6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 165, 642, 1721, 3702, 6885?\n\"Answer: 50*y**3 + y**2 + 124*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 4:52 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14187357 and 11034611.\nAnswer: 99311499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265780*h**4 + 26807 wrt h?\nAnswer: -1063120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.2657 - -13.267. Let v = -31 - -30. Let d = v + x. Round d to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-60)\/(6 + -1). Let s be -4*11\/(-10) + r\/(-30). Suppose 2*h = 2*u + 16, h + 12 = 3*h - u. What is the greatest common divisor of s and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - g - 15, -5*h + 3*g = g - 20. Let v be (-21)\/(-6) + 1\/h. Let o = v + 2. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 14, 1, 2, -394 in ascending order.\nAnswer: -394, 0, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230077 is divided by 39675?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 9. Let w(l) = -390*l + 94820. Calculate the remainder when w(243) is divided by s(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -4. Suppose -l = -j*l - 5. Is l at most 3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-5 - (5 - -1 - 16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1601*n**3 + 1683*n**3 - n**2 + 110*n**2 wrt n?\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 5*p + 4*p)*(2*p + 40 + 8 + 8)*(5*p + 4*p - 5*p).\nAnswer: -16*p**3 - 448*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74689 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 8*g**2 - 52 - 85 + 38.\nAnswer: -4*g**2 - 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43034667?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 82*d + 83*d + 81*d - d**2 - 9 - 236*d. Calculate q(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -31*d - 23*d + 324 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5174.89 and -0.36.\nAnswer: -5175.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7530160\/301 + -4 + 6\/7. What is the greatest common factor of g and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76920071399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4450 and 121\/8900.\nAnswer: 8900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2719.4 times 98\nAnswer: -266501.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o + 832*o + 58087 + 3673 = -95*o for o.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 62289 times -0.1?\nAnswer: -6228.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + f**3 - 3*f**4 + 3*f + 2*f**4 + 2*f**2 + 1 - 2*f in the form n*f + x*f**4 + b*f**2 + u + k*f**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2532000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10247750 and 17900.\nAnswer: 8950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(726)*2 + sqrt(726) + sqrt(726))\/(sqrt(147) + sqrt(147)*-3 - sqrt(147)))**2.\nAnswer: 3872\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 371149727.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 58.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1100) - (sqrt(1100) + sqrt(1100) + 0)) + sqrt(1100)))**2*1*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 342 = 8. Let t(h) = -h**2 + 4*h - 1. Let p be t(3). Suppose k + 3*k - g = z, -g = p*k - 95. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (17 + -14 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192697?\nAnswer: 192697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*z + 6, 4*z = 4*p + 6 + 6. Suppose 5*g - 34 = -4*i, -i - 5 = -g - p*i. What is the least common multiple of g and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfl. What is prob of picking 1 f and 1 l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u - 945 = -34*u. Suppose -30*d - u + 5145 = 0. Calculate the lowest common multiple of 28 and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5196 divided by 1299?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, -4, 4, -0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*-4*sqrt(108))\/sqrt(6))\/(2*(5*1*sqrt(324) + sqrt(324))).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13424 - 13378. Calculate the remainder when a is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 4*o**2)*(o + 4*o - 4*o) + 474 - 658 - 3*o**3 + 0*o**2 - o**2.\nAnswer: o**3 - o**2 - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*f - 20 = -2*q + 128*f, -5*q - 5*f + 80 = 0. Is 10487*(-4 + q)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1882234 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*i**(-46))\/i*(i*((i*i**(-7))\/i)\/i*i*i)\/i assuming i is positive.\nAnswer: i**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1 - 3*s + 2*s**3 + 2*s + 0*s - s**3. Suppose -32*z - 6 = -26*z. Let n(a) = -3*a**3 + a + 1. What is z*u(g) - n(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2552 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11153 times -1?\nAnswer: 11153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/72 and 119\/318.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7811*j - 42400*j - 16765*j.\nAnswer: -51354*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, v: 2}. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56186 = 3*w + 264*y - 265*y, -10 = 2*y. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 101*z**2 + 397*z + 23. What is i(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/25 + (-42)\/(-15). Suppose 3*q = 2*r - 16, 8*r - h*r + 4*q + 6 = 0. Solve -2*o - r + 8 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22352 - -44233?\nAnswer: 111025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*n - 57, -4*z = n + 3*n - 60. Suppose -3*d + 33 = y, -z - 3 = -d + y. Let w be (d\/3 - 11) + 4 - -5. Is 3 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 439\/102937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15123 - -23025. Suppose -3*n + d = -6*c + c, 4*n + 5*c - 10501 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-9)\/1125*40?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1. Let z(d) = 21*d + 3. Calculate -2*a(p) + z(p).\nAnswer: 21*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*k - 55*k + 129*k + 2*k**2 to n*k**2 + u + b*k and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 671213821 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28078, -27992, -27842, -27622, -27326, -26948?\n\"Answer: w**3 + 26*w**2 + w - 28106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 3*m**5\/20 - 17*m**2. Let g be k(-1). Let q be ((-6)\/g)\/(8\/60). Put -3, -4, q in increasing order.\nAnswer: q, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 9*f + 14073*f**3 + f**2 - f**4 - 14128*f**3 + 10*f + 3*f**2 to k*f + x + n*f**3 + j*f**2 + z*f**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -13 + (34 - (22 + -1)). Let h(d) be the second derivative of 0*d**2 + 2\/3*d**3 - 1\/3*d**4 + y + 27*d. Factor h(j).\nAnswer: -4*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24791126*g**4*y - 2*g**3*y**3 + 16413*g**2*y**3 + 814*y**3 wrt g?\nAnswer: 594987024*g*y - 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(475)*-2*-6 + sqrt(475))*-4 + -4)**2*-5.\nAnswer: -102752080 - 41600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/5)\/(-36))\/(14\/(-16))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7596653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008573 to the power of 1\/2, to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 o when four letters picked without replacement from ooooookokok?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:55 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 10*h**2 + 10*h - 13. Let c be x(-9). Let q be 2\/(-7) - 822\/14. Let w = c - q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**2 + 4*o - 9*o**2 + 6*o**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 143\/(-52) + (-2)\/8. Which is greater: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/11 + 136*o**2\/11 - 2312*o\/11.\nAnswer: -2*o*(o - 34)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -49128 divided by 46\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -637517318 by -778.\nAnswer: 819431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808800 divided by -1900?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5083920 and 4554.\nAnswer: 55923120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 + f. Suppose 2*i = 5*u - 8, -4*u + 3*i = 2*i - 7. Suppose 0 = -2*q + u - 4. Give a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkdc when four letters picked without replacement from ccdkk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000851 rounded to seven decimal places?\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2399 - -8397. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*y = -3*p + 400, 2*p - 3*y - 398 = 0. What are the prime factors of p?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3237*c**2 + 82*c + 3817905?\nAnswer: 6474*c + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 35 = 5*y - 4*q, 0 = -3*y + 2*q + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 8*r - 3. Which is bigger: r or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 2*s + 1. Suppose -1 = -3*r + 8. Let h be l(r). Solve -5*w - 2*k = 28, -h = 3*k + k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:11 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1515*x**2 - 12*x + 8. Let n be s(-6). Suppose 0 = -5*h - 2*d + 68258, 5*d = -6*h + 2*h + n. What is h rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + ((sqrt(19) + -1*sqrt(19) + -1 - (sqrt(19) + -1*sqrt(2736) + sqrt(2736)))*-4)**2).\nAnswer: 192*sqrt(19) + 1914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189652 + -296052. Is (-23)\/(161\/i) + -7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 49*u**4\/4 + 49*u**3\/2 + 101*u. What is the second derivative of g(y) wrt y?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1240437109?\nAnswer: 1103, 1124603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**3 - 6*u**2 + 29*u + 1. Let z(y) = 3*y**3 + 6*y**2 - 28*y - 2. Let d(f) = -2*o(f) - 3*z(f). Calculate the remainder when 51 is divided by d(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400 divided by -2602.\nAnswer: -200\/1301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 2. Let d = 1.4 + p. Let o = d + -0.3. Which is the nearest to 1\/4? (a) -1\/3 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**2 - 1 + 1)*(o - 4*o + 2*o)*(4 - 17 - 25)*(-82 + 169 - 81) to the form c + f*o**3 + d*o**2 + r*o and give f.\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4210158000 to the nearest one million.\nAnswer: 4210000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s - 206. Give y(-28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -14*r + 16*r - 3*r**2 + 3*r + 4*r**2 + 10. Determine j(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 25 + 20 = 4*q, 5*q - 90 = 5*v. Solve 5*h = -c - q, 0 = -3*h + 5*h + 3*c + 19 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -8\/25?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43051 is divided by 117.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p - 6435. Let b be p\/(-36) - 1\/(-4). Let w = 21 + 3. What is the greatest common divisor of w and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(132) + sqrt(132)*-1))\/(sqrt(24)\/sqrt(2)*-4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -449\/10 - -162\/5. Let l = -121\/10 - t. Which is the nearest to -1? (a) 3\/4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.18139 years in decades?\nAnswer: 0.418139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 806*j**4 + 32*j**3 - 2*j + 17268 wrt j?\nAnswer: 9672*j**2 + 192*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 5*d + 2*d + 16 + 19 - 21.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5167369 + -22385042369\/4332. Find the common denominator of -107\/2166 and s.\nAnswer: 4332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156 - (174 - 87 - 10)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*u + 46995970 = 5*u, 2*t = -u + 23497984. Let m = t + -6448993. What is m rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1364 - 166.\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwvtvvrrwnrnvrrr. Give prob of sequence tv.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**5\/20 - 7*h**4\/12 - 5*h**3\/6 + 2*h**2 - 232*h - 112. Let s(d) be the first derivative of f(d). Calculate s(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 - 3*h**2 - h**3 - 3*h**2 + 5*h**2.\nAnswer: -9*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 - 4*s**2 + 3*s + 4. Let f be 1\/(-1) + 1 + 4. Let p be w(f). Let r be 2\/2 + 0 - -15. What is the greatest common factor of r and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*p**2 - 3325*p**2 + 27431*p**2.\nAnswer: 24512*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 7}. Give prob of sequence uk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 + 147056*z - 6025934 = 0. Calculate z.\nAnswer: 41, 73487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 980*p = 977*p + 408, p + 491 = 5*c. Solve 0 = 53*y - 364 + c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/5 of a centimeter?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = -10*k + 37. Calculate the remainder when 150 is divided by k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (288\/(-480))\/(4\/15)*(-16)\/(-6). Let r(m) = -5*m. Let g(l) = l. Determine c*g(z) - 3*r(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2502900 divided by -166860.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -22. Let o = -2 - -4. Solve n*f = 2*a - 3*f + 4, a + o = -2*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*f - 4139456 - 2162243 = 7096118. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 300*w**2 - 1 + 0*w - 1\/84*w**4 - 5\/14*w**3 + 1\/420*w**5. Factor g(n).\nAnswer: (n - 5)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 2*g - 51 + 19\/2*g**2 + 7\/3*g**3. Find the second derivative of y(v) wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 3*l**2 - l + 7. Let f be c(3). Put f, 5, -2 in descending order.\nAnswer: 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -77, -104, -113, -98, -53?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 less than 90754511746?\nAnswer: 90754511291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283, -288, -293?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35317*q - 35298*q - 229 = -2965 for q.\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 2\/105, -0.05, 113.\nAnswer: -0.23, -0.05, 2\/105, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) -0.1 (c) -93\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6. Let l(q) be the first derivative of q**2 + 33*q - 98. Let y(o) = -l(o) + 6*t(o). Determine y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**3 + 137*j**2 + 430*j + 120. Determine w(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36f42 (base 16) to base 13.\nAnswer: 7b5b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 8*b**2 - 24*b - 28. Let n be c(-4). Let o be 38\/5 - (-4)\/10. Suppose -o*a + 248 = -n*a. Is a a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 10 - 5. Put -5, k, 3 in decreasing order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 11*y**2\/2 - 3*y\/2 - 7 = 0.\nAnswer: -1, 14\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10328*b*f**5 + b*f**2 - 3*f**2 - 15*f - 3 wrt f.\nAnswer: 619680*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 276? (a) 3 (b) -0.4 (c) 0.4 (d) 0.1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.1 + 56.9. Which is the nearest to 0.2? (a) v (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133\/9 - 15. Let q(v) = v**2 + 28*v + 40. Let x be q(-27). Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 9d?\nAnswer: a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 741 - -1348. Suppose -3*f = 4*k - i, 3*f - 2603 = -5*k + 2*f. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225*y**5 - 245*y**2 + 245*y**2)*(7 + 7 + 6).\nAnswer: 4500*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + 2*sqrt(1300)) + 4 + 2*sqrt(208)*-5.\nAnswer: -120*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v. Suppose v = 2*d + 2 - 8. Solve 3*l + 4*q = -20, -5*l - 38 + 12 = d*q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*h - 119*h + 315 = 0. Let x(n) = -9*n**2 - 3*n. Let v be x(-2). Let b = v - h. Solve -3*g + 5 = -y, -3*y + 2 = -b*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 2*h + 53, 2*d + 2*h = 22. Calculate the greatest common factor of 120 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 6*s + 9. Let i be m(-7). Suppose 2*a + 6 = -2*r, 3*r - i*r = 5*a + 27. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 4, 3, -0.027, -1, -2.12?\nAnswer: -2.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463794177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5\/2 + 5*b**4\/2 - 3*b**3\/2 - 13*b**2\/2 + 5*b.\nAnswer: b*(b - 1)**2*(b + 2)*(b + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:56 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123813053*q**3 + 659082171 wrt q?\nAnswer: -371439159*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 488680582905\/3007 - 162514325. Let q = n + 1329591137\/54126. Let b = 24561 - q. Find the common denominator of -99\/2 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {p: 1, c: 1, f: 4, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 35*u**2 + 2*u - 1. Let o be x(1). Suppose -2*h - o = 2*h. Let f = h - -11. What is the lowest common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 891830 - 901612.18. Let v = 9916 + o. Let a = 136 - v. What is a rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*sqrt(175))**2*-1.\nAnswer: -6325 + 300*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 112*j + 2. Let y be q(8). Let h = y + 601. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3925*c**3 + 21*c**2 + 3*c**2 - 3921*c**3 - 20*c wrt c.\nAnswer: 24*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111101100000110001010 (base 2) to base 16.\nAnswer: -9ec18a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 5. Let t be u(-2). Suppose -t*n + 2*m = 4 + 3, 2 = -2*n + 4*m. Let d be 4*(n + 4)\/4. Solve 0 = -2*w - 5 - d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-98)*14\/18?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/12 (b) -0.33 (c) 3\/7 (d) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*p = 10. Suppose 0 = p*o - 19 + 4. Solve -2*y + 1 + 5 = 4*c, o*c - 12 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 996057 and 354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 2.04. Let x = 2\/65 + -28\/65. Let l = 541\/15 + -110\/3. What is the closest to x in l, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 3*c - 55 - 35)*(0*c - 3*c + 4*c + (3 + 2 - 3)*(1 - 1 + 2*c) + 3*c + 5*c - 7*c).\nAnswer: -18*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = -x. Let n = x - 1. Let y = 8 - n. Solve -3 + y = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1212.186 - -1211. Round u to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 6*x + 4. Let j be q(6). Let d = -361 + 2523\/7. Sort -0.2, d, j, -1\/2 in ascending order.\nAnswer: d, -1\/2, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-420)*(32 + -74). Let h be 4\/6*(-15)\/4. What is the closest to 0.1 in i, h, 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 9 - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i - 1. Let l(u) = 9*u. Let y(d) = 3*l(d) - 4*v(d). Let q = -1 + 3. Let c(w) = w + 3 - q - 2. Give -4*c(m) - y(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533, -753, -973, -1193, -1413, -1633?\nAnswer: -1853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = 2*q. Let t be q\/(3 - (-1)\/(-1)). Is 20 + (-6)\/(-2 + t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/190 and -57\/17125?\nAnswer: 650750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11 - -0.51. Let f = 0.02 + 0.01. Let z = 0.97 + f. Which is the nearest to z? (a) h (b) -5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-2\/31)*((t\/(t**(-4)\/t)*t)\/t)**(-42) assuming t is positive.\nAnswer: t**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 8}. What is prob of picking 2 q and 1 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6228 = -4*s - 4*j, s - 4*j - 536 - 1041 = 0. Is s\/42 - 2\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 157*c - 760.\nAnswer: -(c + 5)*(c + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 16 - 2*a - 13 + 0 + 6 to the form n*a + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*u + 2 = 0, -9*u = 4*x - 14*u + u + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2661 = -b + 8*n + 2646, 5 = -5*n for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -344?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.4. Let i = 5.1 - -0.9. Let q = i - 6.3. Which is the nearest to q? (a) p (b) -5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Suppose l + 2*x - 30 = 0, c*l - 36 = l + 4*x. Is 46\/(-2 - l\/(-11)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -2219\/834?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 2*t**5\/5 + 2*t**2. Let u(j) be the first derivative of -j**2\/2 - 18. Calculate y(u(w)).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1375, -2862, -4375, -5926, -7527, -9190?\nAnswer: -10927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 977, 908, 839, 770, 701, 632?\n\"Answer: -69*y + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/25)\/(9718\/121475).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*c + c = -17, 4*x = 2*c + 32. Let w = -59211 - -59211. Solve 2*r - 2 = w, -r + 26 = -x*y + 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1456 + -807. Suppose g + 437 = 6*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 smaller than -25116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*593.\nAnswer: 2372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32254131, 32254130, 32254129?\n\"Answer: -p + 32254132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.5. Let i = 5 + -1. Let n = i + -3.9. What is the closest to n in d, -0.3, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13257080 by -314.\nAnswer: 42220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 9*s + 7. Let j be t(8). Let k be -9 - -2 - 1\/j. Let a be (-1)\/(6\/40) + (-8)\/(-12). Is k > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-20)\/(-250)*10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 32*k - 33*k. Let y be 0\/k + -2 + 0. Is (-2 - (-158)\/(-4))*y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l)**14\/((l**(4\/15)*l)\/(l*l**(-22)*l)) assuming l is positive.\nAnswer: l**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 2127*m**2 - 3833*m**2 + 2188*m**2.\nAnswer: 2*m**3 + 482*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**3 + 162*a**2 - 470*a - 664. Determine k(29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -4*u**7\/105 - u**6\/120 + u**5\/30 - 104*u**3\/3 - 78*u**2 + 3*u. Find the third derivative of h(s) wrt s.\nAnswer: -192*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3084 - 3084 - 65*w + (-8 + 6 - 6)*(-1 + 10 + 0)*(0*w - 2*w + w) to p*w + h and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) + (-10)\/(-3). Let l be -7 + 7 + (-1)\/(-1). Let w be -3*(-4 + l - -2). Sort y, 0, w.\nAnswer: 0, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106? (a) -5 (b) 0.5 (c) 1 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1133195331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 4, 318 = 3*o + 3*c. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28730 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 164931939265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 12 - 32. Let l = -184 - -190. Let n be 5\/(-6)*l\/20*0. Solve -3*a + 2*w + 10 = n, f*w + 2 = -4*a - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219 + 566. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 2)\/(((-1254)\/361)\/22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 12 = 5*k, 2*k - c = 7*k - 18. Suppose 0 = -0*t - 4*t - 4*y + 32, k*t = 3*y - 6. Is 6 a factor of ((-294)\/(-1))\/t + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969137.5nm to micrometers.\nAnswer: 969.1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46095109211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**3 + 5*r**2 - 7*r. Let i(p) = p**3 - p. Give 6*i(x) - q(x).\nAnswer: -x**3 - 5*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3090)\/(-765))\/(2\/(-6)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 1. Suppose -7 = 2*j + 7. Let g = -17 + j. Let x(k) = 2*k**2 - 2*k**2 - 8*k + k**3 + 8. Calculate g*f(w) - 3*x(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-4 - 6) - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in micrometers?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-57)\/266)\/((-3)\/4). Factor 0 + 0*s**3 - 4\/7*s**2 - 2\/7*s + h*s**5 + 4\/7*s**4.\nAnswer: 2*s*(s - 1)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-3 + 2) - -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13467*x**3 + 124235889*x**2 - 25959297*x + 1356075 = 0. What is x?\nAnswer: 7\/67, 9225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*a**4*s**2 - 4*a**4 + a**3 + 5*a*s**2 + 51*a wrt a?\nAnswer: -168*a**2*s**2 - 48*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**5 - 147*u**4 + 2793*u**3 - 25677*u**2 + 114048*u - 196020 = 0.\nAnswer: 6, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d + -118?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1799*m**2 + 1803*m**2 + 1806*m**2 + 1801*m**2 - 9011*m**2 + 1803*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1875567144?\nAnswer: 2, 3, 11, 601, 11821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m + 5 = 12*m. Let u(g) = g**3 + 1. Let d(t) = -116*t**3 - 50*t - 3. Let z(p) = m*d(p) - 3*u(p). What is the second derivative of z(l) wrt l?\nAnswer: 678*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 22401920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -648, -514, -380?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119399.\nAnswer: 7, 37, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78335 - -3.213.\nAnswer: -78331.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 64.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/3)\/((-8)\/108). Let u be 9*1 - v\/(-9). What is the third derivative of -4*z**6 + z**2 - z**6 - 4*z**2 - u*z**2 wrt z?\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 222. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 - m - 2. Suppose 0 = -4*b - 6*a - 12, 0 = 4*b + a - 8. Let f(n) = -7*n**2 - n - 3. What is b*f(h) - 4*w(h)?\nAnswer: 3*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -27399 at most 3180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 5*c - 1, 2*m + 2*c = 10. Let f = m + -4. Factor -18*j**2 - f*j**3 - 2*j**4 + 0*j**4 + j**3 + 22*j**2.\nAnswer: -2*j**2*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27005 - 37727?\nAnswer: -66734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 9:32 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 709.100006627 + -709.1. What is n rounded to seven dps?\nAnswer: 0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.17 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23603 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/355395 and -39\/23180.\nAnswer: 86716380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10010100000000011110?\nAnswer: -10010100000000011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 27*s**2 - 2*s + 3. What are the prime factors of q(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -1024, -1534, -2042, -2548?\nAnswer: -3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021 a factor of 92492272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -12 - (28 - (4 - -29))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 5446*d**3 - 5436*d**3 - 27.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4528 and 4811?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-25)\/((b*b**4*b)\/b*b**5)*b**(-4\/7)*b*b*b**3*(b**(-1\/2))**(1\/70) assuming b is positive.\nAnswer: b**(-781\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. What is the least common multiple of t and (-4)\/(-2) + 11 + -4?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 96.67651m?\nAnswer: 96676.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3565440640 a multiple of 5754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 2\/3, 2, -3\/8, 30, 5 in ascending order.\nAnswer: -3\/8, 2\/3, 2, 5, 30, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -4 (b) 1\/4 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**5 - 109*f**4 - 34878*f**3 - 3*f**2 + 218548202*f wrt f.\nAnswer: -300*f**2 - 2616*f - 209268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 26662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:48 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:23 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-4*u**2 + 4*u**2 + u**3) - 28*u**3 - 230*u + 230*u + (1 - 11 + 0)*(-6 - u**3 + 6).\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/7717357 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13699 - -13698. Is -230\/141 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-358 - 1400 + 415)*(32*q - 5*q**2 - 32*q).\nAnswer: 6715*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(1426\/(-155)))\/((-2)\/84*-40).\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, 14, 23, 36, 53?\n\"Answer: 2*l**2 - l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 5*t**2\/2 - 3075*t\/4 - 385 = 0.\nAnswer: -1\/2, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 is divided by 127 - ((-60)\/5 + -7)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0\/2 - (-70)\/(-35)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 10. Let y be a(-14). Suppose 0 = -y*m - m - 4*g, 3*m = -4*g. Solve m*h + 3*h = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 129 = -2*s, -2*s - 2*s - 111 = -3*c. Let f = 24 + c. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1152 or -1153?\nAnswer: -1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwsus. Give prob of sequence ss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.17 * -2.\nAnswer: -12.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 259 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -0.9 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 208244.\nAnswer: 208244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uubbaaba. What is prob of picking 1 b, 1 u, and 2 a?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bclcbbrrxlctbclrxlr. Give prob of picking 2 r.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2 + 4. Let q(n) = 21*n**2 - 18. Let s(o) = 9*a(o) + 2*q(o). Let i(k) = 7*k. Calculate s(i(z)).\nAnswer: -147*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13225 is divided by 401?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppdpufllup. Give prob of picking 1 d and 2 u.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 458 = 2*v + p, -v = 3*p - 335 + 116. List the prime factors of v.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 91.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 1\/2*i**4 + 109*i + 11\/3*i**3 - 135 + 0*i**2. Find the first derivative of f(j) wrt j.\nAnswer: 6*j**2 + 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-104) - -14)*8\/(-36)*2\/4.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 687*b**3*l**2 - b**2*l**2 - 7*b**2 + 18*l**2 wrt b.\nAnswer: 4122*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*c**5 + 39*c**4 - 2*c**5 - 39*c**4 + 8*c wrt c?\nAnswer: 180*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 13*x**5\/5 + 3*x**4\/4 + x**3\/6 + 7*x**2\/2 + 41*x. Let b be p(4). Suppose 2*k - b = 11383. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -0.00374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1957? (a) 0.5 (b) -1 (c) 0 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from ooozzoz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -24*(55\/15 - 4). Suppose -19 + 3 = -2*n - 4*y, -2*n - d = -2*y. Suppose -4*r + p + 0*p + 487 = 0, -5*r - 2*p + 599 = n. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 202565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-eight fifths of a kilogram?\nAnswer: 17600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26542 is divided by 390?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2427\/37 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:54 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1834, 1059, -1046, -5147, -11910, -22001, -36086, -54831?\nAnswer: -78902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5175 = 9*z + 171. Suppose -7*k + z = 38. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162761 (base 10) in base 12?\nAnswer: 1086375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1808735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/12*10)\/((-6)\/9). Suppose -x*q = -10*q + 65. Is q > 35\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m. Let n(g) = 19*g - 1. Let q(b) = -n(b) - 3*x(b). Give q(1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 3. What is d(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**3\/6 + t**2 + 4*t + 2. Let o(b) be the first derivative of j(b). Calculate o(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**6\/6 - 2*b**3\/3 + 37*b. Find the second derivative of l(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -6*f**2 - 132*f - 4\/3*f**3 - 261. Differentiate q(y) wrt y.\nAnswer: -8*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -893*f**2 - 840*f**2 + 1732*f**2 - 1889*f.\nAnswer: -f**2 - 1889*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 317029169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(600))\/(sqrt(3) - (5*sqrt(36))\/sqrt(12) - sqrt(3)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkj when three letters picked without replacement from ygkyjvvjyyvgvvvy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -156*v - 609. Determine n(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 2*j - 2*j)*(3 - 6 + 2) + 3*j - j + 0 + 3 as c*j + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, -3681, -4, 5, -12 in ascending order.\nAnswer: -3681, -12, -4, -1, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.69886 + -15.7. What is a rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 3*l**2 - 4*l**2. Let q(a) = 7*a - a**2 + 3*a**2 - 7 - 5*a**2. Let m(f) = f**2 - 2*f + 2. Let z(g) = 7*m(g) + 2*q(g). Calculate w(z(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4.83, -40.4, -1\/28?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = i - 3*s - 5617, -i - 2*s + 1113 = 0. Let f = i + -697. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50192.4 minutes in microseconds?\nAnswer: 3011544000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**2 + 20*w**2 - 3*w - 16*w**2 + 0*w. Let j be u(3). Let y = 960 - j. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18591.\nAnswer: 3, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + p**4 + 0*p**4 - 2*p**4 + p**5 + 0*p**3 + 2*p + p**2.\nAnswer: p*(p - 2)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/644 (b) 1 (c) 54 (d) -1\/9 (e) -4 (f) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -2\/9, 29.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*l - 4500. Let v = -4563\/5 - l. Calculate the common denominator of 75\/8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*h, -5*y - h + 0*h = -20. Let t(s) = -3*s**3 - s**2 + 2*s + 2. Let w(r) = 7*r**3 + 3*r**2 - 3*r - 5. Let k(n) = 5*t(n) + 2*w(n). Give k(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from siiqiisqiisssis. Give prob of picking 1 s and 1 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 21 - (-12 + (9 - 12 - -1))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hur when three letters picked without replacement from rruuururuuuuhkuuu.\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 49*b**2 + 252*b + 4307. Give p(55).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1791 by -469.\nAnswer: 1791\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -205*r - 2065. What is k(-9)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/(-15)*5 + 14. Let a = 7 + -10. What is the second smallest value in f, -1\/2, a, 3\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(5 - 2*t - 5) - 103*t + 81*t + 178*t to the form j + m*t and give m.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462 divided by -231.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n**4 - 248*n**3 + 186*n**2 + 20*n = 0. What is n?\nAnswer: -2\/21, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-490)\/294*(0 - (1 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 53*i = 1560295. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/2 - 247*j**4\/2 - 79*j**3\/2 + 247*j**2\/2 + 41*j = 0. Calculate j.\nAnswer: -82, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 30*b**2 - 62*b - 36. Let z be i(32). Let u = 43 - z. Solve 2*l - 1 - 15 = -4*k, 0 = -3*k + u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 1\/60*o**5 + 1\/8*o**4 + 0 - 1\/6*o**3 - 5*o**2 + 0*o. Calculate r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177 at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1902989.393 to the nearest one thousand.\nAnswer: -1903000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31329, -62651, -93973, -125295, -156617?\nAnswer: -187939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56387845 is divided by 184274?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -230, -20, -4, -3, -5 in decreasing order.\nAnswer: -3, -4, -5, -20, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + (-2)\/4. Suppose s = -4*b - b. Are b and -6\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 12*l - 11. Let w be q(2). Solve -2*p + 8 = -w*j, -3*j - j - 8 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 + 4*i**4 - 2*i**4 + (-2*i**3 + 4*i**3 + i**3)*(-i + i + 2*i) - 13*i**4 + 6*i**4 - 4*i**4.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99880 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 9:09 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*x + 27136 = 0, -15*t = -20*t - x + 33939. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 624, 2169, 4608, 7941, 12168?\n\"Answer: 447*f**2 + 204*f - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, y: 1, x: 1, t: 1, w: 1}. Give prob of picking 2 f and 1 t.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*s**3 + 5*s**3 - 38*s**3)*(-3 + 5 + 2) - 3*s**2 + 3*s**2 - s**3 as a + f*s**3 + z*s + v*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, -878, -1133, -1480, -1913?\nAnswer: -2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.22 (c) -3\/8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 - 2. Let k be l(2). Let s = -2 + k. Suppose -2*p + p + f + s = 0, 2*f = -8. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1442164272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 10*h + 5*h + 50 = 0, 19 = -p + 4*h for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 2*x - 2. Let j be l(-4). Let n = j - -99. List the prime factors of n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-44)\/(-62) + 10 + -11. Let z = u - 30\/217. Suppose 4 = -427*y + 431*y. Is y at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 2)*2\/(-4). Suppose 4*r + d*r = 3*q - 180, 3*q - 2*r - 174 = 0. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 31 = -317. Let r = 480 + -479. Let t = p - r. Is 19 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -5*n**4\/8 + 5*n**3\/2 - 5*n**2\/2 - 49. Factor h(g).\nAnswer: -5*g*(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, -6 in increasing order.\nAnswer: -6, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, r: 3}. What is prob of sequence rrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 1.6. What is the closest to -2\/7 in -0.4, n, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (11 + (5 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 530221.8 weeks to nanoseconds.\nAnswer: 320678144640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 19917345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2311 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 take away -738524?\nAnswer: 738462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(8 + 0 + 0)*(5*f - f - f)*(0 - 7 + 6 + f**4).\nAnswer: 24*f**5 - 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.69978 kilometers to centimeters.\nAnswer: 1769978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21790118?\nAnswer: 2, 7, 421, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5123.0225 to 0 decimal places.\nAnswer: -5123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8175?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/10)\/((-36)\/1680*2). Calculate the highest common divisor of s and 1442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:21 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -101012001201 (base 3) in base 13?\nAnswer: -70369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2653 = 2829*p - 2844*p + 677. Calculate the greatest common factor of p and 1443.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52538*l**2*t + 2*l**2 - l*t + 103*l + 22*t - 3 wrt l.\nAnswer: 105076*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 354396.22 to the nearest one thousand.\nAnswer: 354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2741 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: How many minutes are there between 7:27 PM and 3:27 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 34. Let f = 21 + -24. List the prime factors of (-3)\/(-9) + b\/f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-7)\/(14\/(-6)) + -3). Suppose 5*s + 3 - 8 = z. Sort s, -5, 16.\nAnswer: -5, s, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*c = 538*c - 31056. Calculate the smallest common multiple of 10 and c.\nAnswer: 6470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - -3*(-1)\/1. Let j be ((-6)\/x)\/((-474)\/120 - -4). Suppose -2*y + 5*y = j. Put y, 4, -4, 0 in ascending order.\nAnswer: -4, 0, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3592 divided by -3\nAnswer: -3592\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.73 - -19. Round h to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6683 take away -117873754670?\nAnswer: 117873761353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -3031, -7636, -14303?\nAnswer: -23032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1563766 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*7*(-83)\/(1179430\/(-840)).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/102 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198.42 - -193. Let i = 3.85 + l. Let a = 1.56911 + i. What is a rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (-8 + (0 - 2) - (-113 - -108))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/(-470)*15\/(-12)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 427.92 * -14512\nAnswer: -6209975.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.67 equal to 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 1\/3 (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 982792*r**2 - 4. Let m(l) = 13*l. Calculate m(d(u)).\nAnswer: 12776296*u**2 - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*l - 6 = 0, -3 = -3*z - 0*z + 3*l. Suppose 469*g - 25*g = 6100 - 1216. Solve 3*o + g = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -243558562.2 - -243558449.07170613. Let a = 17.87171423 - h. Let z = 131 - a. What is z rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (53 + -52 - (4 + 0 + (-21 - -27))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48 - 37?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 675971\/14 or 48284?\nAnswer: 675971\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3149\/(-1645))\/67*15\/2\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-27) + 22\/6. Suppose 0 = -2*y + 3*k - 11 - b, -k + 1 = 0. Let z(v) = 3*v**2 + 7*v + 1. Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**3\/6 + 7*w**2\/2 - 2*w. Let a be j(7). Calculate the highest common divisor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 13 = 2*k, 15*k - 10*k - 4 = 2*w. Let m be k\/(-10) - 132\/(-110). Put 4, m, -5, -2 in descending order.\nAnswer: 4, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -124*h + 8 - 7 + 140*h. What is r(2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100303333002 (base 4) in base 15?\nAnswer: 5c0ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 7, r: 2, a: 2, g: 1}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -22*k**2 + 9. Let z(f) = f**2. What is y(z(t))?\nAnswer: -22*t**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*o**2 + 11443602*o + 602295 = 0. What is o?\nAnswer: -1\/19, 200765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2 = -10, -s = -2*g + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1894165 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 43281088 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of (-11)\/4 + 2 + -1245*996\/(-240)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 389202?\nAnswer: 389202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7)\/l*l)**(-34))**45 assuming l is positive.\nAnswer: l**10710","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*4\/(4\/(-67)). Suppose v = 2*y - 63. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/4, -3, 4, 0.024, -0.2 in ascending order.\nAnswer: -4, -3, -3\/4, -0.2, 0.024, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -10667*g + 2495*g - 4835*g - 10680*g as t + d*g and give d.\nAnswer: -23687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3264 and 1013064.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1 - 2*m - 2 + 7*m**3 - 4*m**3. Suppose 4*j - 5*s = 3 + 5, -3*s = 3*j - 6. List the prime factors of q(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04350415 * 1.\nAnswer: -0.04350415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 755488 and 268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23237301 <= 23237314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*l - 128*l = -80775. What are the prime factors of l?\nAnswer: 3, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8165022, 16330040, 24495058, 32660076, 40825094, 48990112?\nAnswer: 57155130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -13*s + 3921. Is 2 a factor of h(87)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-4\/9)))\/(m\/m**7)*(m**(2\/7))**(-8)*(m\/(m**(-3)\/m)*m\/((m\/m**(-2\/19))\/m))\/(m**(-1\/2))**(1\/12) assuming m is positive.\nAnswer: m**(96671\/9576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5990.886911335807769 - -74497944354.886912925807769. Let j = g - 74497938671. Let l = -307 - j. What is l rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**4\/54 + 6070*s**3\/27 + 9211225*s**2\/9 - 17*s - 49. Factor a(y).\nAnswer: 2*(y + 3035)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -7) + -25 + 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32950769 to the nearest integer?\nAnswer: 5740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252548, 1009258, 2270124, 4035140, 6304300, 9077598, 12355028, 16136584?\nAnswer: 20422260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 105813.55274 rounded to zero decimal places?\nAnswer: 105814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*4466\/(-406)*1\/(-33)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -14 + 4. Let w be 288\/(-36)*(-2)\/(-4). Which is the nearest to 0.1? (a) x (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 366*n - 3850 = 55*h + 371*n, 0 = -5*h + n - 275 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073194868?\nAnswer: 2, 269, 769, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-7 + 6) + 0 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmgwegw. What is prob of sequence mww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.01517 times -0.4\nAnswer: -0.006068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 4*b + 2. Suppose 0 = 4*n - 20, -4*d + 14 = -2*n - 0. What is s(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 236*q - 3*q**2 - 4760 + 525*q + 7247 + 9644 with respect to q.\nAnswer: -6*q + 761","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -888 + 1991 - 121*w**3 - 591 wrt w.\nAnswer: -363*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, r: 1, w: 1, f: 1, n: 3, g: 2}. Give prob of picking 1 g, 1 f, and 1 n.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44405760 a multiple of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-6 + 10) + (-76)\/(-2). What is the second derivative of -19*q**3 - 67*q + 20*q**3 - q**3 - j*q**4 wrt q?\nAnswer: -504*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.461\nAnswer: 0.922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11503332 and 217044?\nAnswer: 11503332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from mmtm.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2 - 2*q)*(4842 - 4842 + 52*q**2).\nAnswer: -104*q**3 + 104*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -9. Suppose -125 = 14*x + 11*x. Put -15, -2, o, x in ascending order.\nAnswer: -15, x, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 34. Let b(h) = 301*h**2 - 8*h - 7. Is b(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89326*o - 35 - 454 = 89163*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 18*n - 21*n, 5*n + 10 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-6))\/3*(207\/(-345))\/(324\/(-8))?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 81\/4 of a second?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4.97. Let g = 0.33 + h. Suppose 0 = i + 4*i. Which is the third biggest value? (a) 1\/7 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 328 = 908. Let d = c + -143. Let z(s) = -4*s**2 + s + 2. Determine z(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*i + 4*a, 4*i = a + 2*a - 4. Let j be (9 - (-12)\/i) + -3. Is 2 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442 = -4*n + 122. What is the remainder when n is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - d**3)*(93*d - 37*d + 148*d + (-3*d + 3*d - d)*(0 + 3 - 5)) in the form o*d**3 + n*d**4 + c*d**2 + g*d + p and give n.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.010266 - -35.989334. Let v = -36 + f. Round v to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 8\/36342157?\nAnswer: 8\/36342157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49204\/165 + 282\/55. Let b = z - 303. Is -111 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5 - 6*g**2 + 5. Let p(r) be the third derivative of 3*r**2 + 0*r + 0*r**3 + 0 + 1\/12*r**4. Determine p(v(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 2. Let n(x) = 10*x + 11. Let r = 89 - 85. Let q(p) = r*n(p) - 22*t(p). Let j(g) = -g**2. Calculate q(j(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + 62 + 8 + (16 - 1 - (-1 - -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191563 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t - 2*t + t. Let b(g) be the first derivative of -11*g**3\/3 - 40. Calculate c(b(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 + -69.67. Let z = 0.03 - k. Which is the fourth biggest value? (a) z (b) 2\/19 (c) 9 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 69e + -2?\nAnswer: 69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5555534 (base 6) to base 11\nAnswer: -181345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403019.\nAnswer: 3, 155891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4\/4 + 3*o**3 - 21*o**2\/4 - 10*o - 3 = 0.\nAnswer: -3, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxs when three letters picked without replacement from sxkxsk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 815, -4, 2 in decreasing order.\nAnswer: 815, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 23 = p, 0 = -p - c + 28 - 7. Calculate the smallest common multiple of 6 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/((-10)\/(-3))*-2. Suppose 6*a = p*a + 222. Suppose a = j - 38. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**6\/420 + 23*c**5\/210 - 5*c**4\/4 + 27*c**3\/7 + 5509*c**2. Factor z(m).\nAnswer: 2*(m - 3)*(m - 1)*(m + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*x - 538 - 276 = 0 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(-4\/33) assuming u is positive.\nAnswer: u**(4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -1176.7437\nAnswer: 47.069748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38198 and 131810?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h + 960 = -49*h. Calculate the greatest common factor of 72 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 11, b: 6, e: 2}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 minus -39408?\nAnswer: 39407.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 407, -2\/3, -5, 2.09?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + 1 - -10 - 30) + 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 5*u + 3. Let n be d(-5). What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -824\/5 in 0.02, -61, -0.2?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 5*p - 22, -60 = -p - 2*m - 78 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 15 = -15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*p - 7. Suppose c + 16 = 3*s, 0 = s - 4*c - p - 1. What is the least common multiple of 9 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25645375 and 385.\nAnswer: 282099125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -787640 divided by -157528\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2324531 (base 6) to base 8\nAnswer: 352747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*((-90)\/(-4) + -2). Let k = t + 88. Suppose -3*c + 116 - k = 0. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 638091 and 0.2?\nAnswer: 127618.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q*q**3*q)\/q))**(8\/7)*(q\/((q**(4\/11)*q)\/q))\/(q*(q\/(q\/q**(-2\/41)))\/q) assuming q is positive.\nAnswer: q**(-5053\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 114) + (-6 - -22).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 2*z - 46*z**2 + 106 + 342 - 553.\nAnswer: -46*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1259*i**2 + 396*i**2 + 1916*i**2 - 936*i**2.\nAnswer: 2635*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7373*t + 541. Determine z(0).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329.500844s in weeks?\nAnswer: 0.00219824875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, b: 2, c: 2, u: 4, v: 2, p: 1}. What is prob of sequence uvp?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 7102744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 72.9. Let v = 13 - 12.9. What is the closest to v in m, 3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/14 + (-6)\/3*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5516\/55905 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 2*w - 2*w**2)*(1 - 1 + 2) + (5*w + 0*w - w)*(-w - 3 + 3) - 5*w**2 + 4*w**2 - 2*w**2 to u*w**2 + o + c*w and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 0.4, -9280?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -11*y**7\/2520 + y**5\/30 - 2*y**2. Let g(t) be the third derivative of w(t). What is the units digit of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*o + o + 8, o - 5*d + 16 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (9 + (-294)\/30)) + (-1360)\/200?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -14*c + 10. Let k be b(-3). Suppose a - 4*h = -16 + k, 5*a - 5*h = 255. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*p + k, 2*p + 3*p - 2*k - 68 = 0. Solve -2*d + 2*c - c = 4, p = -4*d + 3*c for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 17. Suppose -444 = -g - x*g. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211875667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4302.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17722585.\nAnswer: 5, 17, 208501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1)*(15\/(-10) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174 or -9283?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83499632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2723b + -3?\nAnswer: 27238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d + 9. Determine l, given that -2*l**3 + 3*l**3 - l**4 - 2*l**3 + 0*l**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56861 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = 4*q, -41*q = -5*c - 38*q + 3. Solve 3 = -p - c*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 134147132*r**2 - 53658852*r.\nAnswer: -r*(r + 26829426)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, w: 1, h: 1, e: 1, m: 3}. Give prob of picking 1 w and 1 m.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -1\/6*v**3 - v**2 + 1\/12*v**4 + 0*v + 1\/60*v**5 + 0. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 7. Suppose -3*r + 70 = 4*i, 11 = 5*i - s. Let d = 10 - 4. What is the smallest common multiple of d and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*f = 689. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18896, -31045, -43192, -55337, -67480, -79621?\n\"Answer: f**2 - 12152*f - 6745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3939 + 42273385446.\nAnswer: 42273381507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-42))\/(6*1\/7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1339 - 1332. What is the closest to 0 in s, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2193\/4 + -552. Let t be (-10)\/(-4)*(-18)\/15*1. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 468\/264 - 81\/54.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -13. Suppose -2*b + m - 5*m - 6 = 0, r = -3*b + m - 9. Suppose 2*o - 3 = 5. Sort o, b, -4 in increasing order.\nAnswer: -4, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 2\/5, -9, 2\/21, -0.1, 3895?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(147) + -1*sqrt(147) + -2 - sqrt(147) - sqrt(147) - (2*sqrt(147) + -4)) + sqrt(147) + -1 + 0 + -1 + 4)*-6)**2.\nAnswer: -6048*sqrt(3) + 48207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63, 121, 177, 231?\n\"Answer: -j**2 + 61*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 8812761555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j + 4*j + 10*j + (2*j + 2 + 20*j - 3*j)*(2 + 3 - 6).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13684\/5, 2\/5, 1\/5, -1385?\nAnswer: -13684\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - x + x)*(2*x**2 + x - x) + (-3*x + 3*x - 2*x**3)*(-x + 7*x - 4*x).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -42*v - 3. Let i be k(-9). Suppose 3*f = 4*y + i, -f = 2*f + 5*y - 375. Suppose d + 5*q = 3*d - f, 2*q = -4*d + 238. Is d a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqqyqypyqyqyyqyqqy. Give prob of picking 3 y.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 339093625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/(sqrt(36)\/sqrt(3)))\/sqrt(3) - (sqrt(112)\/(sqrt(32)\/sqrt(4)))\/sqrt(7)) + -3 + sqrt(64)\/(sqrt(18)\/(sqrt(27)\/sqrt(3))))**2.\nAnswer: -24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93640, -93626, -93610, -93592, -93572, -93550, -93526?\nAnswer: -93500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-130 - -123) + 73\/10\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579714991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 11*q - 6. Let r be h(5). Let k = 24 - r. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3304*h + 400040. What is w(-121)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437945567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1984 and 107911.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18312 (base 16) to base 4.\nAnswer: 120030102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -55, -120, -215, -346, -519, -740, -1015?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*j + 55 + 30. Sort 10, j, -4 in ascending order.\nAnswer: -4, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-45))\/(3\/(-9))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -288c07 (base 15) to base 2\nAnswer: -111011100111010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/(-10) - 2)\/(174\/(-372215)). Let q = f - -7004. Let -776\/21*t + 80\/21 + 98\/3*t**5 - 130\/3*t**3 + 2252\/21*t**2 - q*t**4 = 0. Calculate t.\nAnswer: -1, 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1901 + 1131. Calculate the remainder when 58 is divided by (-35)\/315 + (o\/9)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 54 = -779*i + 783*i, -2*i + 5*o - 1 = 0. Solve -5*b = q + 18, b - 5 = -3*q - i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - b + 12, -5*v + 127*b - 135*b = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-2)\/(-9)*3. Suppose -v*i = -5*i + 6. Let p(m) be the first derivative of m**2 + 5. Let u(b) = b. Give i*p(j) - 6*u(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-2*sqrt(931) - sqrt(133)\/sqrt(175)) + 0 + (sqrt(19) - (sqrt(152) - -1*sqrt(152))\/sqrt(8))))**2.\nAnswer: 1755904\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/9 + 2*b**4\/3 + 2*b**3\/9 - 22*b**2\/9 + 8*b\/3 - 8\/9 = 0. What is b?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 5) to base 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 4\/5, -2, 4\/7, -22?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (350\/(-30))\/((-10)\/18). Let n = -27 - -41. Calculate the highest common divisor of n and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137\/3 + -46. Let v = 224 + -228. Which is the nearest to w? (a) 2\/15 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1016922780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1922*c + 80309 + 52309 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 3, 6 in descending order.\nAnswer: 6, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - 57645073?\nAnswer: -57645141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5 - 20*n + 6 + 11 as s*n + j and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65970766 and -2?\nAnswer: -131941532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 2*y - 1. Let d be k(3). Solve d*a + 4 + 1 = 0, -3*i - a + 5 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1223, 5160, 11767, 21038, 32967?\n\"Answer: -f**3 + 1341*f**2 - 79*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-38) assuming o is positive.\nAnswer: o**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 1 + 10*2. Let r = 5 + l. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1339*g**2 + 680*g**2 + 684*g**2.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 358697419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 32*t**2 - t + 1. What is the remainder when 125 is divided by c(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/11)*((k**(18\/7)\/k)\/k)\/k)**(-2\/57))**9 assuming k is positive.\nAnswer: k**(-306\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*h = 34*h - 203. Let c = -143\/5 - h. What is the third smallest value in 0.75, -5, c?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1063 - 418. Let b = -1594.052304 + 949.051973. Let f = b + v. What is f rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8085*o = 8054*o + 620. Calculate the greatest common divisor of o and 2420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11678 is divided by 68.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -6 - -263 - -3 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 - -5 - -12) - 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/18 + -41\/180. Let b(p) be the second derivative of 0*p**4 - 3\/2*p**2 + q*p**5 + 0*p**3 - p + 0. Differentiate b(z) wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -753 or 464?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let q be 9\/(-15) + (-34)\/10. Let d be n(q). What is the first derivative of -3*x**4 + 3*x**4 - x**d + 2*x**4 - 3 wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*(-2 + sqrt(76)) - (-3*sqrt(76) + 4 - sqrt(76)))**2 + -4*-3*(sqrt(76)*-4)**2).\nAnswer: -89792 + 2560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3 - 2*k + 3 + 0. Let i(z) be the second derivative of 13*z**4\/4 - 289*z. Calculate i(w(n)).\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 33*j**3 + 2*j**2 - 3*j**2 - 16*j**2.\nAnswer: -37*j**3 - 17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/5 + 2627*l**2\/5 - 209469*l\/5 + 822861 = 0.\nAnswer: -2705, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 4 (b) 3\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 21*w - 12943. What is the third derivative of -w*k**2 + 3653*k**2 - 1825*k**2 + 95*k**3 wrt k?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -14*c - 1. Give q(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.86366 millilitres in litres?\nAnswer: 0.05186366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -160. Let n be (-10)\/45 + q\/(-9). Let s(o) = -2*o - 1. Let a(u) = 2*u + 1. Let h(y) = n*a(y) + 6*s(y). Determine h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -367\/6. Find the common denominator of g and ((-73)\/40)\/(156\/585*(-3)\/2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 169139 - 502861. What is n rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7608*v + 1247. Is l(-19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 159\/6*-8*(-21)\/28. Suppose -11*c = o - 390. What is the remainder when 188 is divided by c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -14277062216689.\nAnswer: -14277062216688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0105 less than -2952.5734?\nAnswer: -2952.5629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 9*q - 9. Let l(f) be the second derivative of -f**5\/20 + f**4\/6 + f**3\/3 - f**2 - 6*f. Let d be l(-2). Is y(d) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/713, -0.5, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 802269205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/21 + 10\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76969*d**3 - 2484740*d**3 - 4784221*d**3 - 5767384*d**3.\nAnswer: -12959376*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5196916, 10393821, 15590734, 20787661, 25984608?\n\"Answer: s**3 - 2*s**2 + 5196904*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - 1 + 2*l - l)*(11 - 61 - 37) as j + f*l and give f.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1134 - -12404?\nAnswer: 13542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - (-5)\/(-4). Let y be 4*(0 + i\/2). Suppose 0 = -5*q - 48 + 28. Sort y, q, 1 in decreasing order.\nAnswer: 1, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = 6. Let s(v) = g*v - 56 + 56. Give s(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/60)\/((-10)\/((-640)\/48)))\/(2\/72).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4, -1 = -3*v + 4*m + 4. Let n(d) = 8*d**2 + d - 51. Let t(c) = -6*c**2 + 54. Let p(s) = v*t(s) + 2*n(s). Factor p(x).\nAnswer: -2*(x - 6)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -235*i**5 - 1835*i**4 + 3*i**3 - 41508751*i**2 wrt i?\nAnswer: -14100*i**2 - 44040*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 13 in increasing order.\nAnswer: 5, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1812623, 1812691, 1812759, 1812827?\nAnswer: 1812895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -559*q + 568*q - 45 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119 and -3707.\nAnswer: 441133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4\/7 - 186*v**3\/7 - 180*v**2\/7 + 186*v\/7 + 183\/7 = 0?\nAnswer: -61, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -67*b**6\/10 + b**5\/10 - b**4\/6 - 271*b**3 - 2*b - 1683. What is the third derivative of i(k) wrt k?\nAnswer: -4824*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/55))**(-3\/19))**(3\/10) assuming x is positive.\nAnswer: x**(-9\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -178*p**4 + 149136*p**3\/7 + 196838*p**2\/7 + 47424*p\/7 + 968\/7 = 0?\nAnswer: -1, -2\/7, -2\/89, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 23, 4, -15, -34?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + 2)*-6 + sqrt(25)\/sqrt(500))**2.\nAnswer: 708*sqrt(5)\/5 + 6361\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 2 + 0*o**2 - 5*o**2)*(-4 + 2 + 3)*(-5 - 1 + 5).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - -8 - 23).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 8*r - 35. Let p be o(-5). Let y(b) = -b**3 + b**2 + b + 4. Let q be y(-3). Let v = q + p. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*y - 122*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(0*l**2 + 4*l**2 - 2*l**2) - l**2 - 5*l**2 + 5*l**2 - 26 + 2*l**2 + 25 - 2*l + 0*l.\nAnswer: 5*l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2 = 3*m, 4*m + 1229 - 1249 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 35605.\nAnswer: 35608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.39 - 2.39. What is the second biggest value in 2\/9, -7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 12. Let t be (0 - d)*(-7)\/(-2). Solve 0 = -3*o - 2*n + t - 0, -1 = 3*o - 2*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -8080112.\nAnswer: -41\/4040056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = -2*z - 36, c + 0*c - z = 11*c + 46 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126*c*f**5 - 6*c*f**4 - 1603*c + 3*f wrt f.\nAnswer: -2520*c*f**3 - 72*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1605 and 698460?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4634)\/126 - 2\/9. Let d = -26 - w. Suppose d*i - 8*i - 45 = 0. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 265\/(((-20)\/5)\/(12\/(-3)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-43 - (9 + -8)) + 27. Let n(u) = 3*u**2 + 53*u + 29. What is n(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + ((-1)\/(-2))\/((-3)\/6). Let j be (2 - -2)\/(8 + r). Let v be (j - -2)*(-3)\/(-6). Solve -c - 3*u = v*u - 10, -2*c = -2*u - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -77 (b) 4\/9 (c) 0.2 (d) 2\/7 (e) 1054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1477016.4 months?\nAnswer: 12308.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -55*y**5 - 375*y**4 - 540*y**3 - 220*y**2 - 45. Let h(u) = 5*u**5 + 34*u**4 + 49*u**3 + 20*u**2 + 4. Let v(c) = 45*h(c) + 4*q(c). Factor v(r).\nAnswer: 5*r**2*(r + 1)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4056\/5*t**2 + 6\/5 - 312\/5*t = 0. What is t?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 u when three letters picked without replacement from {g: 2, t: 1, z: 3, w: 1, u: 1, n: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8 = -2*h + h, 2*s - 2 = -h. Let r = 0 + s. Solve -2*o + 24 = r*o + 4*b, 0 = 3*o - b - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1224184 and 49296?\nAnswer: 7345104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l**2 + 271*l + 1395. Determine q(27).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0959512 milliseconds in microseconds?\nAnswer: 95.9512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 0, -4*z - 7*x = -2*x - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**3\/3 + 3*m**2 + 2*m + 1. Let w be b(-6). Let o(v) = -2*v + w*v - v**2. Let g(u) = u**2. Give o(g(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 917 - 135. Suppose 0 = 3*y - q + 170. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + c + 28, 160 = -5*p - 0*c + 5*c. Let k(t) = -t**3 + 2*t**2 + 7*t - 4. Let n be k(5). Let g = p - n. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.92 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*w - w - 4*s, 4*s - 47 = -w. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 32, 101, 230, 437?\n\"Answer: 3*x**3 + 3*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521461449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5 - 72*d**4 - 21*d**3 + 5472*d**2 - 5376*d = 0.\nAnswer: -16, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1339*a - 2915*a - 14899*a - 4631*a + 1182*a.\nAnswer: -22602*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 19}. What is prob of sequence uqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3\/4, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 13895892*l\/7 + 24136976809458\/7.\nAnswer: 2*(l - 3473973)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18512 - 24*n - 32*n**3 - 23*n**3 + 9045 + 9215 wrt n.\nAnswer: -165*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167\/1785 - 2\/255. Let c = -3 - -4. Is c less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4 + 16. Suppose m + c = 5*m - 18, 0 = y*c + 10. What is the remainder when m is divided by ((-39)\/(-26))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 + 2 = 0. Let l = 77 - 59. Let h be 50\/l + -2 - (-18)\/81. Which is the second biggest value? (a) f (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700411971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -11*y**6\/120 + y**5\/30 - y**3\/6 + 17*y**2. Let g be l(1). Is g\/(-40)*3236 + -1*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 106056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 7. What is r(-7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -994117.945 to the nearest 100.\nAnswer: -994100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*m - 338694 = 332*m + 3*p, 5*p + 1693500 = 5*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 (base 12) in base 11?\nAnswer: -613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -11150 < -11151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f**3 + 4*f - 2. Suppose -43 = 5*o + 12. Let j = 8 + o. Let n(u) = 5*u**3 - 5*u + 3. Determine j*n(x) - 4*w(x).\nAnswer: x**3 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 214*j + 100. Let z(y) = 43*y + 20. Determine -3*v(s) + 16*z(s).\nAnswer: 46*s + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 310007634 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 1258875.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:10 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/16 - (-3723)\/(-1496). Let h = w + 160\/77. Sort -1\/11, h, 1, -0.5.\nAnswer: -0.5, h, -1\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3531*w - 3533*w = -3*y + 19, -40 = -5*y - 5*w for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (489 + 1952 + 1306)*(-5*y**5 + 0*y**5 + 3*y**5).\nAnswer: -7494*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 178, 355, 532, 709, 886, 1063?\n\"Answer: 177*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 10*p**2 - 4*p + 3. Is w(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (6 - 5) - (0 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 2*n + 4. Suppose -3*p = 4*h + 49, -6*p + 2*p = -2*h + 102. Let k = p - -19. List the prime factors of g(k).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 2*h**2 - 34*h + 9. Let t be z(-7). Solve f - m - 2*m - 8 = 0, 0 = -3*f - t*m + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10133 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2267 divide 540619078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 5323311.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-517)\/4 + (-3)\/4. Let p = -129 - g. Let a be p\/(2\/10) - -11. Solve a = -4*d - 0*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5216*j**2 + 10759*j**2 - 5093*j**2. Let d(m) = m**2. What is b(d(o))?\nAnswer: 450*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgghgmhmjmmh. Give prob of sequence hg.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32769, 65727, 98685, 131643?\nAnswer: 164601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 - -329. Suppose 5 - d = -5*i. What is the remainder when i is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7080.5507 rounded to the nearest one hundred?\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (3 - (7 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*u**5 + 51*u**2 - 53*u**2 + 189*u**2 + 13*u**5 - 2*u**3 wrt u.\nAnswer: 6540*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107770081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-10)\/98) + 1. What is the common denominator of 495\/i*(-4)\/8 and 117\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u - 14 + 3*u + 12)*(-5*u**2 + 4*u**2 - u**2).\nAnswer: 4*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 7) to base 9.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**6\/2 + 9*o**4\/4 + o**3 + 20*o - 154. What is the third derivative of m(z) wrt z?\nAnswer: 180*z**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -16*i**2 - 58*i + 929. What is u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 417, 401, 385, 369, 353?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 0.0189.\nAnswer: 0.000945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -651 + 658. Which is greater: l or 0.01?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 2, n: 4}. Give prob of sequence qnnq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 392*f - 397*f - 4*y, f + 2*y = -63 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2089 + 9768 = -2*k + 3*l, -k - 5946 = 2*l. Let r = k - -8371. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 169*k + 1421. Let o(m) = -271*m - 2132. What is -5*o(z) - 8*r(z)?\nAnswer: 3*z - 708","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xmax when four letters picked without replacement from {x: 4, a: 9, m: 1}.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -3, -4, -310924 in decreasing order.\nAnswer: -3, -4, -35, -310924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37601 + 26513?\nAnswer: 66314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103924808 to the nearest integer?\nAnswer: 10194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 829702 - 828896. Let z(i) = -i + 26. Let f be z(0). Calculate the highest common factor of a and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -41*v**6\/30 - 31*v**4\/6 + 2*v - 20. What is the third derivative of s(a) wrt a?\nAnswer: -984*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1428 <= -1429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 61*k**2 + 15777*k - 5607. What is z(-259)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + 3*v**5 - v**5 + (0*v**5 + 2*v**5 + 0*v**5)*(0 + 1 + 1) + 3892*v + 324*v**5 - 3892*v + v**5 - 3*v**5 + v**5.\nAnswer: 329*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.36899 micrograms to grams.\nAnswer: 0.00006236899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**4 - 3 + c**3 + 0 + 7 + 0*c**4 as s*c**2 + t + u*c**4 + k*c + i*c**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 - 2*g**2 + 2*g - 11. Let t(s) = -3*s**3 + 5*s**2 - 5*s + 22. Calculate -5*n(u) - 2*t(u).\nAnswer: -4*u**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 1 - (1 + 0 + (-4 - 4)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718*s + 2*l - 8134 = -722*s, -3*s + 5*l + 6107 = 0. Solve 0 = 11*w + 2067 - s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 + 3)*(2 + 1 - 2)*(-3*b + 3*b + b**2)*(4*b**3 + 3*b**3 - 2*b**3).\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q + 2. Let z(p) = -p**2 + 32*p + 4. Calculate z(g(m)).\nAnswer: -100*m**2 - 280*m + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*h + 42. Suppose 4 = -4*o + 3*s, 0 = -3*s + 6 + 6. Suppose -u - o*u + 6 = 0. Solve 0 = -5*t - h + u for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k - 2. Let s(r) = r. Let p(z) = m(z) - 5*s(z). Let n(d) = -d**2 - 12*d - 7. Let a be n(-11). Calculate p(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2133.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*q - 7, 5*y + 5*q - 2 = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/53760 and 107\/125160.\nAnswer: 8010240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, r: 2}. What is prob of sequence ere?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-1)\/2*0 - 136\/(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -269 in 3, -1\/2, -10, 2\/5, -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -15, 9, 53, 123?\n\"Answer: y**3 + y**2 - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/18 and 187\/8310.\nAnswer: 24930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(4 - (-5 - -11)). Solve 2*t + 3 + 9 = 5*d, 0 = f*t + 5*d - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuufxuf. What is prob of picking 1 f, 1 w, and 2 u?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**27*o*(o*o**0*o)\/o)**31 assuming o is positive.\nAnswer: o**899","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 217 and 5837269.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**4\/4 - 455*q**3\/4 - 1590*q**2 - 1255*q + 2960 = 0. Calculate q.\nAnswer: -74, -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05479804956206 - 3.\nAnswer: -3.05479804956206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5973373247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -284, -569, -854, -1139?\n\"Answer: -285*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54 + 4?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1213, -1208, -1201, -1192?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 3 - 1\/20*f**5 + 2*f - 2*f**2 + 2\/3*f**4 - 5\/6*f**3. Determine t(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 9*t - 3*y = y - 44, -2*y = -12 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -10. Suppose -i*b = -5*b - 48. Let c = 109 - 48. Calculate the remainder when c is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 0) + (9 - 1). Suppose c*s = 2*s + 3*n - 18, -2*s - 4*n = 0. Sort 5, -3, s in descending order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.2, -6, 50, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/3 + 46*n**3\/3 - 130*n**2\/3 - 406*n\/3 - 76 = 0. Calculate n.\nAnswer: -1, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31639129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 13 = -5*o, -3*o - g - 12 = -3*g. Suppose -3*x + 8 = -2*x. Let v be (x\/10)\/(1\/(-5)). Is o less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*j + 35, -2*j + x - 3 = 2. Let p(u) = u + 10. Let a be p(j). Put a, -3, 4 in ascending order.\nAnswer: -3, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7123 + -4694. Let b = -9663\/4 + u. What is the common denominator of (439 + -7)\/(-8)*4\/32 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -4. Let r = -5.8 - b. Is r <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d - 93. Calculate x(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - 69497*a**3 + 1207562493*a**2 - 3622201015*a + 2414708018.\nAnswer: (a - 34747)**2*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31680573, 31680562, 31680551, 31680540, 31680529, 31680518?\nAnswer: 31680507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43669269, -43669271, -43669273, -43669275?\nAnswer: -43669277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/4 + 15*a**2\/2 + 111*a\/4 + 39\/2.\nAnswer: -3*(a - 13)*(a + 1)*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2662087539 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 50?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497940?\nAnswer: 2, 5, 74897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:10 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)*-3 + 18\/9. Suppose 3*r - 2 = 7. Let j be 5 + r\/(-6)*4. Sort j, v, 2 in descending order.\nAnswer: j, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 572 = -4*q - 4*h, q - 169 = -2*h. Suppose -4*r + 4*x - x = -q, 0 = -5*r - 3*x + 197. Suppose r = 3*k - 185. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 19\/(-57) - (-3)\/63. Which is the closest to o? (a) 0 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**5 - 30*a**4 + 84*a**3 + 24*a**2 - 384*a + 384 = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98934 by -32978.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/264 and 115\/198?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + (-1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 133.\nAnswer: -4\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, and 1 i when three letters picked without replacement from uquif?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3947260.71 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2. Let u(v) be the third derivative of v**5\/30 - 7*v**2. Calculate u(h(f)).\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 451 - 11273\/25. Let p = 11\/175 + f. What is the nearest to -1 in 1, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 h, and 1 r when four letters picked without replacement from ffhfkkfffhkhrffr?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 33, -38, 27, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001 + 12201121?\nAnswer: 12212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 74550498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 10*d**2 + 28*d - 87. Calculate w(13).\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.335679*35\nAnswer: -11.748765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1394*r**3 + 517*r**3 - 562*r**3.\nAnswer: -1439*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -15b7 (base 14) to base 16\nAnswer: -f2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from ootywgwotggogbgyyg?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -5. Let c be (z\/(-3))\/((-10)\/(-15)). Is 5 a factor of (0 - (-1 + c)) + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 49*c**2 + 57*c - 343. What is y(50)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2430\/(-200))\/(3\/(-2)) and (-3)\/2 + 410\/160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71832 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, e: 12}. What is prob of picking 2 e?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20436 = 47499*n - 49071*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*-0.2.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*z + 4*i - 8, 0 = 4*i. Let q = -130 - -1948\/15. Let n be (2\/(-38))\/((-2)\/4). Which is the nearest to z? (a) n (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*b - 4. Let d(x) be the second derivative of -x**4\/4 - x**3 - 3*x**2 - 4*x - 36143. Calculate d(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46226?\nAnswer: 2, 29, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -k + 9, -4*m = -k - 16. Suppose 4*p - 8 = 0, 5*p = 6*q - k*q. Suppose -3*r + 112 = -0*r - z, 215 = q*r + 4*z. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 10 = -27*v. Suppose 40*p - 8 = 38*p, -4*x - v*p = -5328. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 70 = -34. Let u = 38 + -138. Let f be (55\/u)\/(3\/z). Which is bigger: f or -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 24*b + 31. Let f be m(25). Solve 3*c - f = 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 55 = -5*n - 45, 5*r - 3*n = -84. Let o = r - -14. Let f = o + 22. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/1 - -2 - 0. Let s(k) be the third derivative of 7*k**6\/120 - k**5\/60 + k**3\/6 + 10*k**2. Is s(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*j + 12, -2*q - 4*j = -4*q + 14. Let m be -5 - -5 - -2*1. Calculate the greatest common factor of q and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 2 (c) 4\/11 (d) -0.5 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17539200 divided by -33408.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046*x - 1071*x = 250 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 235648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 604 + 323. Let s = d + -514. Suppose 4*l - 2489 + s = -2*b, -2*b = 8. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7 = -3. Suppose 5*j = -g*h + 260, -5*h + h = 2*j - 216. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 8. Let c(k) be the first derivative of k**4\/4 - k**2\/2 + 2*k - 9. Let y be c(1). Let a be z(y). Solve a = q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*t**3*w**3 + 23353*t**3*w**2 - 44*t**2*w**2 + 286835*w**3 wrt t.\nAnswer: -1122*w**3 + 140118*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2200 and 8509380.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 629375.3 to the nearest 10000.\nAnswer: 630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2869152\/346060 + 24\/(-22)?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-54)*(2 + -5 - 3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**4 + n**3 - 1. Let r(t) = 49*t**4 - 4*t**3 - 58. Let m(o) = 4*f(o) + r(o). Find the first derivative of m(h) wrt h.\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 77161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 450, -41 in increasing order.\nAnswer: -41, 3, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-936)\/108)*675\/10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (-1)\/(1\/(-2)). Let c = m + 5. Suppose -18*a + 83 = 13*a + 21. Solve 5*s - 2*v = -4*v + a, v = -c*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g - 14. Calculate b(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 18 = -4*v - 4*m, 0 = -3*v - 5*m + 3. Let f(o) = 2*o - 1. Let l(z) = -10*z + 6. Let r(c) = v*f(c) + l(c). Let a(h) = 12*h**2. What is r(a(x))?\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 17855.\nAnswer: -4\/17855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-1\/26))**43 assuming t is positive.\nAnswer: t**(-43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4219976 is divided by 578.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 6:32 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 27\/4)\/(3\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-7 - 3)) + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 16*y. Let a = 36 + -34. Suppose 20 = a*o + 3*o. Sort -2, o, y, 2.\nAnswer: -2, y, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284429?\nAnswer: 284429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*s = -3076*s + 426*s - 8035 + 130003 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -3. Is (5\/((-10)\/(-48)))\/n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -3 (b) 11 (c) 2\/11 (d) -78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -2)\/(-5*(-2)\/(-32))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 8. Let c = -140 + 203. What is the smallest common multiple of s and c?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 5:51 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -75, -88, -97, -96?\n\"Answer: d**3 - 7*d**2 + 3*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6821 (base 15) in base 9?\nAnswer: 33254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3 + 15. Suppose -49 = -q*s - 16. What is the lowest common multiple of s and 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29.4735+8322\nAnswer: 8292.5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 17 = 2315*z - 2314*z, 4*z + 9 = r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92288 and 70784?\nAnswer: 7290752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 10120111002?\nAnswer: 10120111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2390 = 4*g, -344 = 2*h + 3*g - 1960. Let y(b) = b - 11. Let s be y(14). Suppose -z - 2*z + 486 = s*t, -5*z - t = -h. Round z to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/4, -5, 33?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34314 and 47244?\nAnswer: 270188436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 2) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11059 + -3.9.\nAnswer: -11062.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19080353 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/29)\/x**(2\/45) assuming x is positive.\nAnswer: x**(77\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2503 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21247*h - 3251983 = 3204*h for h.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*p + 1274658 - 1272588 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*n + 220*n = 27 + 60 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/31, -10, -2\/9 in decreasing order.\nAnswer: 2\/31, -2\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*t = j - 24*t - 7, 4*j = -4*t - 20. What is the remainder when (31\/3)\/(11*j\/(-297)) is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.1 - 0.9. Let j = 0.4 - 0.41. Let u = 0.29 - j. Which is the second biggest value? (a) s (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 10*f + 14. Let g be x(-11). Find the common denominator of (-9)\/(g + 2\/(-2)) and (-1)\/2 - (-138)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.97 - -0.15. Let c = 2.117883 - n. What is c rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4760 - 4760.5. Which is the second smallest value? (a) 0.08 (b) f (c) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or 74306?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -3*f + 45. Suppose 4*b + 2*q - 81 = b, 5*q = -f*b + 140. Let d = b - 24. Solve -u + d + 2 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 1 (c) -316611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*1*sqrt(76) - -3*2*sqrt(76))**2 + -5)*-3.\nAnswer: -29169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150578996*v**2 - 1350575*v + 21.\nAnswer: 301157992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w**2 + 19*w + 19. Let a be v(-8). Let u = a - 222. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17527 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/315?\nAnswer: -4\/315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*z**3 + 2*z + 123?\nAnswer: -117*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257556?\nAnswer: 2, 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 7, 36, -0.4, 1\/3, 3, 9\/4 in increasing order.\nAnswer: -0.4, 1\/3, 5\/3, 9\/4, 3, 7, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 1\/3, 1, 0.38?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*c**2 + c - 39?\nAnswer: 50*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Suppose 9*b = 4*b + 10. Let y(r) = 0*r + 2 + n*r + 3*r**b. Let u(c) = -c**2. Calculate 4*u(x) + y(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17739362339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14426, -14365, -14298, -14225?\n\"Answer: 3*d**2 + 52*d - 14481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859.06 plus 0.1?\nAnswer: 1859.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 100064340 a multiple of 1954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348484 is divided by 31650.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9, 0, 7, -0.9, -1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g - 1. Let t be g\/(1 - (-15)\/(-6)). Solve -2*c = -z - 5, t*c - 15 = -z - 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12987.1cm?\nAnswer: 129871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237606 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d**(-33)\/d))**8\/(d**(-14)\/(d\/((d\/d**(-3\/2)*d)\/d))) assuming d is positive.\nAnswer: d**(617\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 6*t + 791000. Round t to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -3. Suppose 2*a + y = 4*a. Suppose -a*l + 60 = l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7068, -14474, -21876, -29274, -36668, -44058, -51444?\n\"Answer: 2*f**2 - 7412*f + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:21 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7*q = -9. Sort 5, q, 1, 4 in descending order.\nAnswer: 5, 4, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -885 - -553. Let y = -189 - x. List the prime factors of y.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(0*d - 2*d + 3*d) + 2*d - 4*d - 6*d + (0*d + 2*d - d)*(2 + 2 - 2).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15195 and 7299678?\nAnswer: 36498390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4289 + -4287. Let u(i) = -4*i**3 + 3*i**2 - 5*i + 3. Determine u(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519221 is divided by 191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmr when three letters picked without replacement from rrrrrrmmrrrrrrrrrr.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1638*c**2 - 3*c + 53857 with respect to c.\nAnswer: -3276*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 5*h. Let y be w(2). Solve -4*g + 3*f - 4 - y = 0, 0 = 5*f - 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3799150.87 + -0.064?\nAnswer: -3799150.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 3*h = 0, 13*m - 15*m + 2*h = 8 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 6. Let a = 45 + -50. Determine u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Suppose -5*h - 19 = s - 2*h, -s + 6 = -2*h. List the prime factors of y(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3691.60888 rounded to the nearest 10?\nAnswer: -3690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82809 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42977 and 352.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1236 less than -146.6?\nAnswer: 1089.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -905 + 905.09. Which is the closest to r? (a) -3 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = -0*w. Suppose h = w*h - 16. Suppose 2*v - 5*m - 8 = 0, -h*m + 27 = -5*v + 64. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*f + 3*h + 4, 5*h - 16 = -2*f. Suppose -f*g - 13 = -a - 0*a, -18 = -2*a - 2*g. Suppose 2*o - a - 2 = 0. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28984632.\nAnswer: 2, 3, 191, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1318 + 2628 - 1310 + 9063*b**3 + 1361*b**3 + (6*b - 5*b - 2*b)*(-2*b**2 + 0*b**2 + 3*b**2) to the form v + j*b + y*b**3 + o*b**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(80) - (sqrt(80) + 1)) + 1)*-1)**2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 687165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 20, -0.6, -3, -19\/3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + 3 + (sqrt(147) - (sqrt(147) + -1)) + 3))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -133\/4. Let k = -6617\/116 + 17\/58. Let r = k - -57. Is r <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80676.91 nanometers in kilometers?\nAnswer: 0.00000008067691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/6 - 7*b**3\/6 + 17*b**2\/2 + 9*b. What is the units digit of f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/42*(-7)\/(-15). Let k = -4\/5 + n. Which is the biggest value? (a) k (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(130) - (sqrt(130) - -1*(sqrt(130) + sqrt(130) + sqrt(130) + 3*sqrt(130))))\/(2*sqrt(1440) - 4*3*sqrt(10)) + -4.\nAnswer: -4 - sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 641177 and 20704?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 2*f = 26, -2 = 21*s - 22*s + 2*f for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8988719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211003 + 2341?\nAnswer: 213344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 248257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*c**3 + 15*c**2 - 159*c + 363*c - 200*c - 251*c wrt c.\nAnswer: -192*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248332 divided by -49?\nAnswer: -5068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 665 - 330. Suppose -a - 3896 = -3*r, 2*r - a + g = 2933. List the prime factors of r.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 16 + 12 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -108 + 542\/5. Which is bigger: p or -52?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 1, i: 10, a: 3}. What is prob of picking 2 i and 1 a?\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32053 + 55117. What are the prime factors of r?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259779, 259793, 259809, 259827, 259847?\nAnswer: 259869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4\/6 + h**3\/2 - h**2\/2 - 7*h\/6 + 1 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, 0.5, -1, 120, -1\/13, 0.2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*(-6)\/10 + 146.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1))\/t)**(12\/11)*(t\/(t**(-1)\/t))**(-21))**(-21) assuming t is positive.\nAnswer: t**(14805\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -116.2 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/(-110))\/(((-126)\/5)\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + 49*q - 98. Let j be o(-21). Calculate the greatest common factor of j and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/70 and 53\/410.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 105 and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -445*w**4*y - 20853*w**3*y + 17162*w**2*y - 4*w*y - 6*w wrt w.\nAnswer: -10680*w*y - 125118*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and 0.1.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 3545 - 3805 = 0. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 6*c - c - 3*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1760 and 16.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -151979842 + 42959842. Round b to the nearest one million.\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-3)\/6)\/((-2)\/100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 11\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 51 - (12 + (2 - 5)). What is the greatest common divisor of g and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1081 = 5*q + 339. Let c be q*((-487300)\/(-8) + 3). Let r be (-1)\/(-5) + c\/10. What is r rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 2 - 13*y**2 + 3*y**2 in the form a*y + g + o*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 41108 - 62753 = -3*v, -2*v + 4*k + 69250 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -0.1, 49?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (40\/(-75))\/((-27)\/90). Which is smaller: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 3. Let q be 50\/(-12) - (-1)\/(-12)*-2. Let x be v*(-6)\/(q\/2). Solve 6*a + 3 = x*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of 139*b**3\/6 + b**2 + 58*b. Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376.703558 rounded to 0 decimal places?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16275 by -651.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 2*n**2 + 3*n. Suppose -m = -0*m + 4. Let q(k) = k**3 - 2*k**2 + 4*k. Let z(c) = c**2 + 33*c + 273. Let x be z(-15). What is m*b(y) + x*q(y)?\nAnswer: -y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 22*w**2 + 22*w + 40. Calculate the remainder when 65 is divided by q(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:35 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7136\/7 less than or equal to 1018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-8)*8\/3. Sort -3, -3\/2, n, -0.5 in ascending order.\nAnswer: -3, -3\/2, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -94a4 - 486?\nAnswer: -997a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - 18*l - 41. Let s be -3 + 4 - (-1 + 4) - -13. What is the units digit of k(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 1. Let i(v) = -16*v**2 - 2*v + 8. Let s(h) = -i(h) + 5*n(h). Is s(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q**2. Let z(u) be the first derivative of 1\/2*u**2 - 19 + 0*u. What is k(z(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-168)*14\/(-12). Which is the nearest to -1\/3? (a) -0.5 (b) k (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8135764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6*b - 33 = -2*b, -3*q + 65 = 5*b. Suppose -2*z + 255 = -3*h, 3*h = 4*z - 181 - 320. Calculate the remainder when z is divided by q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 255902 and -1281 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*p - 674*p + 352*p = 13623 + 5847 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, s: 3, n: 1}. What is prob of sequence szs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242 divided by -398.\nAnswer: -121\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 33170000 to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15187878 divided by -13\nAnswer: 15187878\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3402*a**3*q**3 - 1434*a**3*q**2 - 2992*a**2*q**3 - 1537*a*q**3 wrt a?\nAnswer: 20412*q**3 - 8604*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 2, -5, -4.\nAnswer: -36, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o - v + 40 = 0, 0 = 4*o - 4*v - 20. Calculate the greatest common factor of 6 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27413249 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 220, 459, 746, 1105, 1560, 2135, 2854?\n\"Answer: 4*s**3 + 211*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1359984\nAnswer: 271996.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 592\/(-64) + 10 - 13\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 1323034*i\/3 - 4851044.\nAnswer: -2*(i + 11)*(i + 661506)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3454, -3454, -3448, -3430, -3394, -3334?\n\"Answer: g**3 - 3*g**2 + 2*g - 3454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57467 + 2*g**3 - 28338 - 29129.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 6:44 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 3 - (2 + 16)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 12*z**2 + 30*z + 29. Let w be p(-14). Solve -q + 3 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1193 divide 99336383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1067 divide 927697815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6325469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h. Let t(d) = 641074*d**2 - 144. Calculate j(t(p)).\nAnswer: 641074*p**2 - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/204 and 39\/10?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let m(l) = l. Let w be 1 + 2 + -2 + 8. Suppose -5*j + 11 = -w. Determine j*m(b) + 5*p(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -386602683 - 2\nAnswer: -386602685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -188*5\/60*-3. Suppose 52 - 47 = 15*o - 70. Sort g, -1, -4, o.\nAnswer: -4, -1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 19054015.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(2) + sqrt(2))*-4*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qff when three letters picked without replacement from sfylsfljlylq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85364 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11865914?\nAnswer: 2, 293, 20249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/8))**(16\/3)*(w**8*w)\/(w**3*w) assuming w is positive.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:18 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9 - 12)*((-3 - 1 + 3)*(5 - 2 - 2) + 0 + 0 + 1 + (1 - 1 + 1)*(-3 - 3 + 5) - 3 + 4 + 1 + 0 - 3 + 1)*(g - 2 + 2).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - 45 - -15 - 23?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-13*y - 4*y + y) to i*y + p and give i.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -886166\nAnswer: -265849.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2972504470 and -3.77.\nAnswer: 2972504466.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 + 15*h**2 - 230*h - 1311. Calculate m(-6).\nAnswer: 1473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 187*p**2 - 7059*p\/2 + 3717.\nAnswer: -(p - 1)*(p + 21)*(p + 354)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 24 = -18. Suppose -2*p + 7*p + 46 = 3*l, l + p - 10 = 0. Let k = j - l. Calculate the remainder when 16 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5904.51 rounded to the nearest 10?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:16 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28744*b**4 + 2*b**3 - 2*b**2 + 78102.\nAnswer: -114976*b**3 + 6*b**2 - 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 52 = 663*i - 660*i, 5*a = 4*i + 144 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 5235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**4 - 3*a**3 - 2*a**2 + 3*a + 2. Let n(f) = -2*f**2 - 3*f**2 + f**4 + 0*f**4 + 6*f**2. Let b(w) = -2*n(w) - 2*x(w). Factor b(g).\nAnswer: 2*(g - 1)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/((-20)\/(-144)))\/((4860\/(-72))\/(-45)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.18 (b) 1\/10 (c) 264853\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 677 + -640. Solve 2 = -2*k + 4*f, -5*k - 4*f = -0*k - g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**4 - 2*g**4 + 0*g**4 + (g - 5*g**2 - g)*(-2 + 4 - 3)*(0*g**2 + g**2 + 0*g**2) as o + t*g**2 + z*g**4 + y*g + k*g**3 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 24\/11 (c) 1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*(x**(24\/11)\/x)\/x*x**(10\/13) assuming x is positive.\nAnswer: x**(422\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttcfpsstfffofstffo. What is prob of picking 1 s and 2 o?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 573\/5 (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-45)\/12))\/((-14)\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.6417747 rounded to the nearest ten?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (6 - (-2 - -3)). Suppose u + 7 = 2*p - 1, j*p = -u + 8. Calculate the remainder when 2*(-7)\/2*-1 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 + 11*i - 5. Suppose -5*q + 2*o + 28 = 0, q + 0*q + 4 = -2*o. Suppose -28 = -0*f - q*f. Is s(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -13 + 3. Let a(b) = b**3 - 6*b**2 + 5*b + 5. Let u be a(5). Find the second derivative of -6*v**u + 0*v + p*v + 3*v**5 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -9\/2*v**2 + 0*v + 213. Let d(l) = 5*l. Determine o(d(f)).\nAnswer: -45*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/d)\/((d*d\/d**(1\/2))\/d)*d**(-9)\/(d*d**(-9)) assuming d is positive.\nAnswer: d**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 - -42.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -91, -82, -69, -52?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5407632 millilitres?\nAnswer: 0.0005407632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 933*z - 117448. Let x be j(-150). Solve -3*o + 113\/11*o**x - 2\/11 - 78\/11*o**3 = 0.\nAnswer: -2\/39, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.2 + 36.5. Let g = 16 - a. What is g rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -11\/4423746 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1232 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367*y**3 + 41*y + 38*y - 80*y)*(-2 - 3 + 4).\nAnswer: -367*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 6. Let l be z(-3). Let q(v) be the second derivative of -1\/5*v**2 + l + 1\/30*v**4 - v - 7\/100*v**5 + 7\/30*v**3. What is m in q(m) = 0?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -18*u - 2. What is the units digit of k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(19) + 1 - (sqrt(19)*5 + 2)**2.\nAnswer: -478 - 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5509 + 23 + 11599*s**2 + 10397 + 6717 wrt s.\nAnswer: 23198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 1836.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18620000 rounded to the nearest one hundred thousand?\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 2*m**2 + 2*m**2 + (m - 5*m + 2*m)*(-2*m**2 + 0*m**2 + 3*m**2) + 16*m**3 - 13*m**3 - 67*m + 268*m**3 + 67*m.\nAnswer: 267*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a. Suppose 3*q + 6 = 4*w, 5*w - 25 = q - 6*q. Let f(t) = t - t + q*t - t. Give l(f(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 217851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from yyyyxxxyyyyfllljylxx?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s**2. Suppose 3*f - 16 + 1 = 0. Let m(j) = -2*j**2 - 1 - f + 6. Determine m(y(l)).\nAnswer: -1152*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1\/7 (b) 4 (c) 56437 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 7:00 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - z + 64, 4*z = -v - v + 56. Suppose 5*g - 52 - 3 = 0. Calculate the remainder when v is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-28) - (-14)\/49. Suppose 204*k - 211*k + 378 = s. Calculate the remainder when 320 is divided by k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 135 = 4*u. Suppose d = -u + 5. What is d rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -338, 3.275, 3, 7.\nAnswer: -338, -4, -3, 3, 3.275, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3176117178.\nAnswer: 2, 3, 13, 19, 29, 67, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 6*d**2 + 12*d + 16. Suppose 0 = -3*b + 3, -r + 9 = -2*r + b. Is 4 a factor of g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**3*u**3 - 9*o**3*u**2 - o**3*u - 2*o**2*u + 2*o*u**3 - 2*o*u wrt u.\nAnswer: -24*o**3*u - 18*o**3 + 12*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 3, g: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)*m)**17\/(m\/(m\/(m**(-17)\/m*m))*m*m*m**(2\/21)\/m) assuming m is positive.\nAnswer: m**(-737\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u. Let b be (2 - u) + -4*2. Let d(c) = -3*c - 9. Let p be d(b). Let v(k) = -k**2. Let o(r) = -5*r**2. Determine p*v(m) - 2*o(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/5, 3, 1\/6, -2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6457 is divided by 358.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v + 2. Let j(o) = -o. Suppose -4*n = -4*f - 511 + 495, n + f - 6 = 0. What is n*j(t) - d(t)?\nAnswer: -11*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvym when four letters picked without replacement from {v: 3, y: 1, q: 2, m: 1, b: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152574, 610738, 1374350, 2443416, 3817942, 5497934?\nAnswer: 7483398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 103*q + 6. Let k = 272 + -273. Let t be x(k). Is -97 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)\/sqrt(9) + (2 + sqrt(10)\/sqrt(2))**2.\nAnswer: 9 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 + 35. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227653 is divided by 1659.\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 8\/3, 0.6, 0.071?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42799 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 r when four letters picked without replacement from {i: 2, k: 4, q: 1, u: 1, r: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 4*y - 2*y + (-1 + 7 - 4)*((0 + 3 - 1)*(3 + 1 - 5) + 40 - 1 - 4)*(2 - 2*y - 2).\nAnswer: -133*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5\/2 - 123*s**4\/2 - 420*s**3 + 3366*s**2 - 4536*s = 0. Calculate s.\nAnswer: -28, -18, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 11. What is the tens digit of -5*(g - -1)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1826\/5 + 273. Let t = a + 29033\/315. Let i = t + -103\/63. Are i and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -13*c + 24. Let t(a) = -13*a + 25. Let z(b) = 5*j(b) - 4*t(b). What is the derivative of z(y) wrt y?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000827788 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*i**3 - 13*i**3 + 18*i**3)*(-719 - 86*i + 719)*(-2*i - i + 0*i).\nAnswer: -5418*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -3 + -3 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24\/55 - -2\/55. Let g be (-1)\/3*-1*-5. Which is the third biggest value? (a) -4 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2745*p. Let n(y) = 6*y**2. Give n(z(a)).\nAnswer: 45210150*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 17 = 3*d - 5, 0 = -17*l + 30*l - d - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 875754 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 = 4*p, -y + 12 = 3*y. Let b = -11 - -7. Put 2, b, p in increasing order.\nAnswer: b, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 27 = 2. Suppose t*s + 5*u - 31 = 2*s, 3*s + 14 = 4*u. Solve 0 = 2*i + s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - -3)*-3)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84981278 minus -0.04?\nAnswer: 84981278.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -29. Calculate the remainder when 49 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 397 - 2*o**2 - 397.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 8 = -36*k + 32*k + 7*f, 2*k = 8*f - 46 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 8:14 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/120 + g**3\/6 + 2*g. Let a(v) be the second derivative of n(v). What is a(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5759262205 to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 14*d - 8. Let i be f(4). Let u be i\/(-28)*(-2 - (-118)\/(-4)). Let a = -51 + u. Solve -2*r + 2*t = -3*r + 3, -a*r = 2*t + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/32)*(h*(h\/h**(1\/3)*h)\/h*h*h)\/h assuming h is positive.\nAnswer: h**(259\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v + 80 - 80)*(2 + 0 + 3*v + 1)*(3 + 4 - 6).\nAnswer: 60*v**2 + 60*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f - 26 = 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w - 1351*w = 24952 + 49384 + 11596 for w.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/30)\/(6\/(-8000)). Let o = 222 + g. Sort -0.2, -1\/2, o in decreasing order.\nAnswer: -0.2, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -271, -391, -511?\n\"Answer: -120*f - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7581 + -477605\/63. What is the closest to 0.2 in 0, s, 0.2, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22651 + -645?\nAnswer: -23516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 times 2?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1\/4, -41, -5?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 60 = 4*h. Let m be 6\/(-8) + 129\/12. Let g be 28\/m + (-1)\/(-5). Solve 0 = 2*w + g*t + h, 2*w + 7 = -t - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = w, u - 2237182*w + 36 = -2237173*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gnnmmnnnnnmmnnmmnmn. Give prob of sequence mgn.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11101011100111000000 (base 2) to base 7\nAnswer: 11126401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.8624 + 0.0724. Let f = -3.8 - h. Is 0.2 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -197603, -197308, -196809, -196100, -195175, -194028, -192653, -191044?\n\"Answer: g**3 + 96*g**2 - 197700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2881, -5772, -8667, -11566?\nAnswer: -14469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + c + 17 - 0, -4*c + 60 = 4*r. Let n = -30 + 46. What is the highest common factor of r and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27863610 divided by 5?\nAnswer: 5572722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*k - 5*m, 2*k = -4*m - 34 + 38 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2390a (base 11) to base 3.\nAnswer: 1202011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 9. Suppose 3*d = -d + 2*k + 20, 0 = n*d - 5*k - 15. Solve -4*o = d*b - 19, 2*o + 2 = 5*b - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 b when four letters picked without replacement from dtbddbvvvvdbdvdtvvdv?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -367, -366, -365, -364, -363?\n\"Answer: y - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-5)*198\/(-1287).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (13 + (-3 - -2))) + 7 + 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/5))**(-1\/65)*((c*c**(9\/4))\/c*c*c)\/(c*c**12))**(-9\/11) assuming c is positive.\nAnswer: c**(102339\/14300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = t - 44. Let d be 150\/t*160\/(-9)*-255. What is d rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/30 and (-21)\/14*-2*(-148)\/18.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**4\/48 - a**3\/2 + 11*a. Factor h(r).\nAnswer: -r*(r + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 93 - (-92 + 259 - 97).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(0 + 2\/7). Solve 2*v + l*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-24\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*u - 62*u + 40 - 41 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19586685 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -4\/39645021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -927, -3602, -8025, -14196, -22115, -31782?\nAnswer: -43197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9882934, 9882940, 9882950, 9882964, 9882982, 9883004, 9883030?\n\"Answer: 2*v**2 + 9882932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 35.427 decades?\nAnswer: 354.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 88a (base 12) to base 16\nAnswer: 4ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -c + 2*l - l, 2*l - 5 = -5*c. Let 3*p - 3*p**c + 4*p - 4*p = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -71*a - 138. Let s be j(-2). Suppose -41 = -6*w + 55. Put s, 0, w in decreasing order.\nAnswer: w, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 10:25 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*o = -3*p, 4*p - 6 = -2*o. Sort -3, 5, 2, p.\nAnswer: -3, p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -797 + 793. What is the nearest to 1 in z, 0.5, 1\/19, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 4*d + 3. Let k(x) = -12*x**2 + 3*x - 2 + 6*x**2 + 9*x**2. Calculate 2*h(g) + 3*k(g).\nAnswer: 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -65.99 - -3006355981\nAnswer: 3006355915.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289 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: Solve -2*f - 133 = 47*o, -o - f + 2 - 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-206)\/(-5) + 2\/(-10). Calculate the common denominator of (26\/(-10))\/(-1) - -2 and (-1)\/(-2 + 80\/o).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1609\/132 + -134\/33. Calculate the common denominator of -37\/6 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 588*s - 9707.\nAnswer: -(s - 571)*(s - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 + 6*d**2 + d**3 + 13*d**2 - 3*d**3 in the form t + y*d**3 + k*d + f*d**2 and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 84\/(-9) + (-3 - -6). Suppose 6*f = 957 - 939. Which is smaller: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -585078, -1170157, -1755236?\nAnswer: -2340315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Let z = u - 5. Let q = 3566 - 3557. What is the closest to q in -1\/10, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/10 in -3, 1, -6, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1300 and 230975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/30)\/((-1)\/(-30)*4). Let x(z) = 5*z - 12. List the prime factors of x(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -240, -235, -232, -231, -232, -235?\n\"Answer: -a**2 + 8*a - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 741*r + 0 + 4.\nAnswer: -741*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -196, 24\/10261 in increasing order.\nAnswer: -196, -8, -1, 24\/10261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 133*y**3 - 5*y**2 + 5. Let f(r) = -66*r**3 + 3*r**2 - 3. Determine 5*f(i) + 3*k(i).\nAnswer: 69*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*m)*(-3*m**4 + 3*m**4 + 2*m**4) + (3 + 3*m**2 - 3)*(-77*m**3 + 85*m**3 - 161*m**3).\nAnswer: -455*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*x - 4*k + 3, 4*k - 16 = -2*x. Solve -x*y = -4*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*h**3 + 13*h**2 + 0*h + 0*h.\nAnswer: -35*h**3 + 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-6)*(-8)\/18. Is q not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 229, -0.5, 2, 4\/3, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41035075 or -41035077?\nAnswer: -41035075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 2024720.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 631\/9. Let u = -2 + 0. What is the second smallest value in u, n, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 70 - 111 = 71. What is the fourth biggest value in 4, l, 0.06, -2\/7, -0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25\/6 - -203\/48. What is the common denominator of -59\/16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, -3, 1, -13, -275 in descending order.\nAnswer: 4, 1, -1, -2, -3, -13, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. What is the second derivative of 0*t + j*t**2 + 5*t - t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 113\/15 (c) -3 (d) 0.01 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -260\/6859, -5.\nAnswer: -5, -0.7, -260\/6859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 24 (b) -162806 (c) -2\/11 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*14\/(-78). Suppose 4*t - 5*x = -35, 51*t - 56*t + 4*x = 28. Which is greater: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0153149926 to four decimal places.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14760.2 from 128.62.\nAnswer: -14631.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 341, 415, 489, 563?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -20. Sort -4, -14, -1, x in increasing order.\nAnswer: -14, -4, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -725 - -915. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 63*o**2 - 4*o - 2. Let n(i) = -252*i**2 + 17*i + 8. Determine -2*n(a) - 9*s(a).\nAnswer: -63*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15285*a - 1111. Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.97 to 0 decimal places.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 7*s**3 - s**2\/2 + 1. Let o(p) = -2*p**3 - 68*p**2 - p - 30. What is the remainder when t(-1) is divided by o(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3453a (base 11) in base 2?\nAnswer: -1100001011100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2671 - -2795.1. Let s = -119 + q. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -12627) + 8 + -9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11225 less than or equal to -11225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*k - 3591 = -118*k - 103*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 164*s + 86. Let k be g(2). Calculate the common denominator of (k\/2547)\/(0 + (6 - 4)) and -1\/7.\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from aaayjavaapajpvvya?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 + 125. Suppose -q*d + 57*d + 13472 = 0. Is d a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1)*-3*10\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 26. Let g = -5.2 - -10.2. What is the third smallest value in g, z, -0.4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = 3*n - d, 5*d + 5 = n. Let j be 31\/n + 7\/(-35). Suppose -j*m + m + 25 = 0. Calculate the remainder when 17 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 66*b + 356. Give n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*h + 59*h = 40 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1102 and 373350?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*u**3 - 3*u*x + 2977*u - 463807*x + 186 wrt u?\nAnswer: -156*u**2 - 3*x + 2977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*i + 243 = -i, 0 = 2*r + i + 99. Let l = -44 - r. Solve -l*h + 18 = 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -42, -34?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106703 + 153?\nAnswer: 107056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 580345612 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 78*l + 41. Let z(m) = -57 + 30 - 14*m - 38*m. Let n(j) = -5*c(j) - 8*z(j). What is the tens digit of n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 50*a**2 + 12*a - 64. Let b(y) = -2*y**2 + 2*y. Let l(u) = 6*b(u) - h(u). What is the first derivative of l(c) wrt c?\nAnswer: -124*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 7 (b) -1 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 123*p + 365. Let s be z(3). Let w(k) = 18*k**3 + 3*k + 3. Let o(x) = 36*x**3 + 5*x + 5. What is s*w(g) - 3*o(g)?\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = 2*z, -2500*z + r + 5 = -2499*z. Solve z*o - 2 = -5*c + 3*o, 0 = 4*c - 3*o - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 22 = -n + 6*n, -4 = n + 2*c. Suppose 0 + 2 = n*z. Find the first derivative of -p - 1 + 4*p + 12 - z wrt p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z + 28. Suppose 0 = i - 0*i + f - 11, 2*i - 3*f = 2. Calculate u(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + -1. Let r be ((-4)\/10)\/((-2)\/10). Suppose n = r*u - 11 + 4, 0 = 5*n - 4*u + 11. Which is the nearest to n? (a) 1\/4 (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4 - 21\/9)*(-18)\/342)\/(3\/18)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-28))\/((-36)\/28). Let h = -0.2 + -0.5. What is the third smallest value in r, -1\/9, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -224022?\nAnswer: -224000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -5*m. Suppose -b - 30 = -k, -2*b + 7 + 1 = m. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.09 + 3. Let n = 0.29 + g. Which is the second smallest value? (a) -0.2 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25448, 2, 4, -12, -2 in decreasing order.\nAnswer: 25448, 4, 2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -3, 3.\nAnswer: -6, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i - 0*i. Let f = -2 + i. Let r(a) = 6*a**2 - 7*a + 5. Let u(c) = -5*c**2 + 6*c - 4. What is f*r(t) + 5*u(t)?\nAnswer: -t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 158152, 0.02, -240 in descending order.\nAnswer: 158152, 0.02, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 22*g**2 + 24*g + 23. Let o be c(-23). Suppose o*y - 7*y = -889. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (6 - 3) - (-5 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/39063427 and 2\/692523.\nAnswer: 1054712529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/120 + u**4\/6 - u**3\/2 - u**2. Suppose -15*w = -3*w - 24. Calculate p(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*f + 25 = 0, 5*i = 3*f - 47677 + 47643 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 7 - 2*z + 7*z - 3*z + 3*z**2. Is n(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 12:55 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1\/4 (c) 2\/5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 0 - ((-5 - -1) + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*a**3 + 338*a**3 - 181*a**3.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 235*r + 1409. Let i be p(-6). Let d(z) = -22*z - 3. What is d(i)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720 plus 117.55?\nAnswer: 3837.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.73 + -13.73. What is the third biggest value in f, 217, 6\/5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (-117 - 6) - (-1063 - -1083)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.8 - -10.8. Let p = -1.34 + 1.24. Which is the fourth smallest value? (a) 1 (b) v (c) -0.2 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/7 + 4018*k - 28252567.\nAnswer: -(k - 14063)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47235797 rounded to four dps?\nAnswer: -1.4724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2452320 and 43056?\nAnswer: 56403360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10615*p + 5975 wrt p.\nAnswer: 10615","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 25. Is 4\/(-1) + g - -258 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3284*r - 64. Let i(k) = -2*k. Determine i(b(a)).\nAnswer: 6568*a + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -242985*f + 109685 wrt f?\nAnswer: -242985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10463 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + 1. Calculate the highest common factor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 2*z**3 + 2*z**2 - 3*z**2 - 4 + 5*z. Let f be b(2). Is 61\/1 + (f - 7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 16*a**2 + 21*a - 10. Let k(w) = 3*w**2 + 4*w - 2. Let u(f) = -11*k(f) + 2*r(f). Let b be u(0). Suppose 8 = b*l - 300. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, q: 4, s: 3}. What is prob of picking 2 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 12. Let v = 137 + -128. Calculate the smallest common multiple of v and m(13).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.804838 kilometers in centimeters?\nAnswer: 580483.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11 from 33.1457.\nAnswer: 22.1457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 3*z + 92. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -120?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: cad0 (base 16) to base 11\nAnswer: 36010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640581383?\nAnswer: 13, 71, 523, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d + 4. Let b be t(9). Suppose 56 = 4*f - 2*x + 6*x, 3*f - 2*x - b = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379?\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -3*a**4\/4 + 5*a**3\/3 + 7. What is the third derivative of y(n) wrt n?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*117\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s**4 + 217 + 0*s + 0*s**2 - 22\/3*s**3 - 103\/5*s**5. Find the third derivative of f(o) wrt o.\nAnswer: -2472*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1376 divided by 86.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12)\/6 - -17*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2386020 and 1141140.\nAnswer: 26246220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 702 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179803 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 13*u - 5740 = -14*u, 0 = -4*i + u + 22950. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3 - (-24 + (22 - -14)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x - 3. Let a be b(3). Suppose -83*l + 87*l + 12 = 0. Put -5, a, l in decreasing order.\nAnswer: a, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 7*a - 6. Let h(f) = 12*f - 2. Let n be h(2). Suppose 4*l = -n - 2. Calculate k(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n + 24. Let x = -12855\/8 + 1602. Calculate the common denominator of x and (210\/n - -2) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 10*g**5 - 56*g**4 - 234*g**3 + 256*g**2 + 616*g + 192 = 0.\nAnswer: -3, -1, -2\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) 0.7 (c) 5\/2 (d) -0.28 (e) -453\/4 (f) 0.4 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exxrrxexx. What is prob of picking 1 r and 2 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14 at least 340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -110. Calculate the least common multiple of w and 2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2 - 1 + 4*w**3 + 9*w**3. Suppose 0 = i - 1. Is 14 a factor of j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2178)*2 + sqrt(2178))*-6)\/(sqrt(1944)\/sqrt(9) - (sqrt(6) - sqrt(12)\/sqrt(2))*4) + 0.\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*l - 3 = -h, -4*h + 5*l = -12. Let d = 3 - h. Solve 2*u - 3 + 13 = d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30762469.\nAnswer: 17, 1809557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/46470)\/(2\/10). Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 20679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110010011001 - 10011000?\nAnswer: -11110100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**3 - 106*r**2 + 6*r - 12. Let b(z) = -11*z**3 - 200*z**2 + 11*z - 22. Determine -6*b(n) + 11*o(n).\nAnswer: 11*n**3 + 34*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -1.6, -613, -1, 3 in ascending order.\nAnswer: -613, -98, -1.6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -181.2 - -181. What is the fourth smallest value in c, -2, 5, 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116*c**2 - 116*c**2 + 13*c**3)*(-7*c**2 - 4*c**2 - 4*c**2).\nAnswer: -195*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*b + 3*b - 10*b**3 + 11*b**3 + 6*b**2 as p*b + g + i*b**3 + v*b**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 158820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495789 is divided by 1362?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 923, -1, 2535.\nAnswer: -1, 923, 2535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2194822343 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5005255*d**4 - 3292*d + 3369?\nAnswer: -60063060*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 44 = 3*r, -8*z + 53 = 3*r - 3*z. Solve 0 = -12*a + r*a + 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from uguohguvugh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g + 12. Let y(j) = -37*j - 34. Let q(o) = 17*w(o) + 6*y(o). Let s be ((-12)\/2)\/(3\/2). Let a(v) = -v - 1. Calculate s*q(b) + 2*a(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 12*d**2 + 21*d - 14. Let n be l(-5). Suppose n*u = 425*u + 1116. Calculate the greatest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*c**2*j - 1432*c**2 - 10339*c*j + c + 12 wrt j.\nAnswer: -6*c**2 - 10339*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2)*-6)\/((sqrt(300) - 1*sqrt(300)) + sqrt(300)))**2.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -519 in descending order.\nAnswer: 10, -4, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1097*t*v**4 - 2*t*v**2*z**2 + 6*t*v*z**2 - 9*t*z + 4*v**4*z**2 - 6*v*z + 2*z**2 wrt v?\nAnswer: 26328*t*v + 96*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -100372, -200772, -301172, -401572, -501972, -602372?\n\"Answer: -100400*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 1. Let l be r(11). Let g be (6\/4)\/(6\/(-32)). List the prime factors of (-2 - 4)*l\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -545*x - 853*x**2 + 2401*x**2 + 1691*x wrt x?\nAnswer: 3096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 5. Let l(x) be the second derivative of -x**4\/12 + x**3\/2 - 4*x**2 + x. Let z(v) be the first derivative of l(v). Give -3*h(q) + 5*z(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 1 - 3 = 4*f, -2*f - 5 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**3*y + 7315*j**3 - 11295*j**2*y + 2*y wrt y?\nAnswer: -3*j**3 - 11295*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -4760.\nAnswer: -3\/595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 133, -10 in descending order.\nAnswer: 133, 31, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 1. Suppose -n*l - 4*l = -0*l. Let r = l - -18. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 5416639\nAnswer: 5416638.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, -2, -2\/3 in descending order.\nAnswer: 0.3, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 37*w - 294. Give v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*w - 19, 0*w - 3*z + 13 = 4*w. Let s(x) = 15 + x - w + 3. Let k be s(-8). Solve 0 = -k*b + 2*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*b - 116 = -2*r, 4*r = -4*b + 100. Suppose -14*i + r = -10*i. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 2*h - h)*(-374 + 374 + 27*h**2) + (2*h - 4 + 4)*(-4*h**2 + 2*h**2 + 3*h**2) + h**3 + 0*h**3 + h**3.\nAnswer: 31*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -762250, -3049043, -6860376, -12196255, -19056686, -27441675, -37351228?\n\"Answer: -i**3 - 762264*i**2 + 6*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)*-7 - 3. Let l = m + 9. What is the remainder when 24 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -10. Let b(w) = -13*w + 1. Suppose -5*u = p - 141, u + 24 = 5*p - 785. Calculate the remainder when p is divided by b(t).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12 = 4. Suppose f*u - 80 = -4*p, -u + 14 = p + 2*p. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcccfcc. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 7*c + 6. Let q be u(-6). Suppose 5*a - 7*a + 54 = q. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 * -0.3\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*b**3 + 151*b**3 + 80*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.27*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/10 (b) -1 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 2. Let n be l(-1). Let b be (1 + 0)*(-2 - n). Let f be (-1)\/(b\/1 - 0). Calculate the greatest common factor of 3 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-4)\/12)*3 - -5. Find the third derivative of -6*q**2 + q**t - 17*q**2 + 6*q**2 - 9*q**4 wrt q.\nAnswer: -216*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 2*x**4 + 21*x**2\/2 - 14*x + 12. Let n(m) be the first derivative of q(m). Differentiate n(a) with respect to a.\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4 + 6 = 0, 4*h - 4*h = -2*h - 637*s - 1234 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + r = 3*q + 18, 2*q + 4*r = 16. Calculate the smallest common multiple of 22 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 395400544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.54761 - 0.04761. What is the nearest to -1\/2 in j, -12, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 64. Let z(f) = f**3 + f**2 + 208. What is the remainder when z(w) is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 6*h + 8. Let w be ((1 - 2) + 0)*-7. Let l be r(w). Suppose -4*y + 2 = -2. Is y less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1933*a**3 + 5*a**2 + 20*a - 5. Let k(p) = -6765*p**3 + 18*p**2 + 72*p - 18. Calculate -5*k(v) + 18*n(v).\nAnswer: -969*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + 63 + 0 + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 3*o = -5*j + 22, -5*o = 20. Suppose -15 = 3*c + j*c. Let m = c + 18. Solve -3*z = 2*z - m for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -496, -497, -498, -499?\n\"Answer: -v - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*l*m**5 - 16*l*m**2 + 112*l*m - 171*m**4 wrt m?\nAnswer: -6720*l*m**2 - 4104*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1955*t + 4010*t - 4696 = 1903*t + 10960 for t.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**10*r*r\/(r**(-15)\/r)*(r\/((r\/(r*r*r**(-4))*r)\/r))**(26\/3) assuming r is positive.\nAnswer: r**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/3))\/g**(-17\/3)*((g\/g**(-38))\/g)\/g**(2\/7))**(-32) assuming g is positive.\nAnswer: g**(-30272\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 - 3)\/6)\/(3\/(-54)). Calculate the greatest common divisor of g and 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*h + 88, -b - b - 2*h = -40. Solve -2 + b = -4*f - 5*t, t = -2*f - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271608 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3730759 divided by 4.\nAnswer: 3730759\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 624 - 5618\/9. Which is the closest to 3.7? (a) 0.5 (b) m (c) -0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 - -1c?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.07, -0.4, -1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42947881*l**3 + 873145*l**2 + 15*l wrt l?\nAnswer: 257687286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -221220 (base 4) to base 11\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, 1 p, and 1 l when four letters picked without replacement from tpttpqttltlttpttlpt.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012496779 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*(1 - 2\/4). Let o = 9 - k. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -461497 = -461500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144639.\nAnswer: 3, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -4. Let k be (2 - (-1 + 1))\/m. Let l be (0 - 0)\/(k + 1). Solve 2 = -n - l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3863814 by -1287938.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 132009653?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let q be (-12)\/(-14)*(-5 - 2). Let b be h(q). Is b\/(-8)*-2 + (-1 - -195) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5.4. Let t = -2.392 + 1.892. Which is the fourth biggest value? (a) -6 (b) t (c) 2\/19 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine sixths of a minute in seconds?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 18 - 12 = 0. What are the prime factors of 2\/q + 37\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 13*a**2 - 44*a + 3. Let m(g) = -6*g**2 + 22*g - 1. Let u(y) = -4*k(y) - 9*m(y). Let z be u(11). Is 10\/2 - 27\/9 - z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29906910361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0017 and -371.\nAnswer: 0.6307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v - 2. Let y be m(2). Suppose -8*t + y - 2 = 0. Solve -3*c + t*p + 15 = -2*p, 0 = 3*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-1.93.\nAnswer: -17.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + o + 2. Suppose 15 = -4*j + 3. Let l(k) = -3*k**2 - k - 4. Calculate j*l(t) - 5*z(t).\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**2 + 146*t + 5329 = 0. Calculate t.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2146575839?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -1\/5, 1, -8\/77, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31.68 * -5565.\nAnswer: -176299.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*s**3*u*x*z**2 + s**3*x + s**3*z**2 - s**2 - 2*s*x*z + 2*s*x + 2*u*x*z**2 + 2*z**2 wrt s.\nAnswer: 522*u*x*z**2 + 6*x + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u + 29*u**2 + 15*u + 36*u - 71*u - 13*u.\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 0.125?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + (-1 - -4))*14\/21. Suppose 0 = -3*y + 6 + 3. Suppose -y*k - 24 = -7*k. Solve -3*q = 0, -q + k = z*l - 0*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 686, 686, 608, 410, 50, -514, -1324, -2422?\nAnswer: -3850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o + 16*o = -60. Suppose -2*i - 10 = -3*i + o*z, i - z - 6 = 0. Suppose m - 2*m + 5 = -g, g + 3*m = 15. What is the closest to g in 0.5, 0.6, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 695860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 790 = 111*h + 58*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 - 68 = -15*f + 2*s + 64, -4*f = 4*s + 72 - 124 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/8 - -3)*4. Let u = p + 40. Suppose q - 4*q = -4*w + u, 25 = 5*q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15\/484? (a) -25 (b) 56 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25380000 rounded to the nearest one million?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/10)\/(24\/(-60)). Let q = -5 + f. Put q, -3, 0, 14 in increasing order.\nAnswer: -3, 0, q, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*h - 22*h - 19*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/9 + 4\/(-6). Let g(l) = -5*l + 14*l + 11*l**r - 11*l + 1. Determine g(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/90 - d**4\/8 - 2*d**3\/3 + 3*d**2. Let m(s) be the first derivative of c(s). Find the first derivative of m(l) wrt l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.55 + -325.55. Let n = 80648007587 + -80648007910.00000241. Let r = n - g. Round r to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78074*v**6 - 78082*v**6 - 11984*v**2 + v**5 - v**5 - 10*v**3 + 2*v**5 wrt v?\nAnswer: -960*v**3 + 120*v**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {n: 1, d: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from ghkkhg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13739 + -13736. Solve 4*g + x + 5 = -s, -g - 2 = -4*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -83, 444, -6, 35 in increasing order.\nAnswer: -83, -6, 4, 35, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 13.3. Let x = y - -0.7. Which is the closest to 2\/3? (a) -0.3 (b) x (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84635691?\nAnswer: 3, 7, 575753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -84*d - 74 - 458 - 308 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 + 28*v**2 - 1506*v\/7 - 540.\nAnswer: 2*(v - 9)*(v + 2)*(v + 105)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 122703 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 150 + 193*n**4 - 170 - 166*n**4 + (n**3 + n - n)*(-5*n + 3*n + 0*n) + n**4 - 2 + 2 + 5*n**4 - 2*n**4 - 4*n**4.\nAnswer: 25*n**4 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32007*p**3 - 16008*p**3 - 16000*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -170, -289, -408, -527, -646, -765?\n\"Answer: -119*a - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 168749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 9810000 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2*(24 + -24))\/(-2). Let a(u) be the third derivative of u**2 + 1\/10*u**5 + 0 + 0*u + 0*u**3 + i*u**4. Let v(o) = o. Give a(v(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i**6\/i*i)))\/i)\/(i*(i\/i**(4\/3)*i)\/i))**(-14) assuming i is positive.\nAnswer: i**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 48*a + 2. Suppose 86 + 346 = 9*t. Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -5, 9\/16, 0.005 in descending order.\nAnswer: 9\/16, 3\/7, 0.005, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**2\/2 + 131. Let v(b) = 2*b**2 + 3. Determine v(y(r)).\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = 18*f - 175. Solve 2*r - 5*s + 9*s + 12 = 0, -f*s - 9 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - p**2 + 0*p**2 + (-2577 + 2577 - 94*p)*(-8*p + 0*p + p).\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(5\/1 - 3). Suppose -i = 3*p - 3, -3*i - u*p - 13 = -5*p. Sort 1, i, -2, 4 in increasing order.\nAnswer: i, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**3 - 1439*p**2 + 16202*p - 112. What is t(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 12 - 10)*-4\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 1 - 1 - 2*s)*(-1 + 3 - 1)*((-303*s + 171*s - 294*s)*(2 + 2 - 3) - 6*s - 2*s + 3*s) as z*s**2 + n + l*s and give l.\nAnswer: 862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -370 - -505. Calculate the highest common divisor of 30 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, 8, -9737, 0.1 in descending order.\nAnswer: 8, 0.3, 0.1, 0, -9737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62097*p**6 - 66*p**5 - 6581109*p**2.\nAnswer: -7451640*p**3 - 3960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3760 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2023 is divided by 253?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.81 + 0.38. Let l = n - -0.13. Which is the closest to 1\/4? (a) -3 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a century?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -4, -0.32 in decreasing order.\nAnswer: 3, 0, -0.32, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 5:21 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a + 7*a + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 2. Let z be l(-5). Let o(s) = s**3 - 3*s**z - 4*s**2 + 5*s**3 + s + 2*s**2. Let i be o(1). Solve n + i*n = -15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 219 + 102 + -96 + -161\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, 4, -16, -5 in increasing order.\nAnswer: -16, -5, -0.5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13964*p + 1477. Is i(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:18 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7948*k**4 + 3513 with respect to k.\nAnswer: -31792*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*v - 28*v - 55*v + 24*v in the form w + j*v and give j.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1111 - -1111. Let w(n) = 2*n + 29. What is w(m)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*q + 1. Let c be q\/(-27) - (-374)\/18. Suppose x = -2*x + c. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/6, -359, -15, 0.3 in decreasing order.\nAnswer: 7\/6, 0.3, -15, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72416\/7 - 10336. Let -2\/7*c**3 - 64\/7*c + 20\/7*c**2 + k = 0. Calculate c.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/143115 and 76\/9.\nAnswer: 429345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 6*h**2 + 4*h + 4. Let f be s(-5). Let l = -38 - f. Suppose 4 - 1 = -3*b, b - 161 = -l*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 682600.\nAnswer: 2, 5, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u + 1708 + 514 = 0. What are the prime factors of u?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.4. What is the closest to 1 in -1\/6, 1\/6, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(2\/32))\/(-1). Suppose -j = q + 1 - 0, 0 = 2*j + 4*q + 4. Let h be j - (-5)\/((-25)\/(-15)). Solve -5*s - 2*z + 5 + 3 = 0, 0 = -h*s - 4*z + i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5)*x*(x*x**(-9))\/x)**(-7)\/((x**(-1\/2))**(-44))**(-6\/23) assuming x is positive.\nAnswer: x**(7583\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/36 + 6\/(-4))*-193. Let i = -181 + c. Solve -y = 2*y + i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttqtpqq. What is prob of picking 1 t and 2 q?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2603, 2957, 3311?\n\"Answer: 354*t + 2249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(sqrt(114) - (sqrt(114) - (sqrt(114)*-3 - sqrt(114))))*-4)\/((sqrt(150) - -2*sqrt(150))*-2).\nAnswer: -16*sqrt(19)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + 152. Let w = 265 - f. Solve -3*h - w = -k, 1 + 11 = -4*k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**2 + 13*u + 1. Let i(f) = -13*f**2 - 25*f - 1. Let b(v) = -6*i(v) - 11*l(v). What is the tens digit of b(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9845, -69, 32, -2 in descending order.\nAnswer: 32, -2, -69, -9845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*l - 49*l**2 - 171*l + 1 - 97*l**2.\nAnswer: -146*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0, -5, -17, -13 in ascending order.\nAnswer: -17, -14, -13, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 9*z - 5. Let p be t(8). Suppose -p*k = -42 + 132. Let x = 80 + k. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-300)\/9 + 2)*1092\/(-104). Let q = -262 + m. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 619.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.4147 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 r when three letters picked without replacement from {s: 2, y: 3, l: 1, r: 3, c: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*u - 26. Calculate the remainder when u is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17396 - -17395.6. What is the nearest to 0 in 3\/5, -95, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 97. Let k be (-3)\/((-6)\/m)*(-4)\/(-2). Sort -1\/3, k, 0.1.\nAnswer: -1\/3, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 - 15*v - 8. Suppose -z = 5*b + z + 26, -4*z = 4*b + 28. Let t be f(b). Solve 4*h + 0*h = t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 163 - 163 + o. Let s(f) = 7*f. Determine v(s(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 10*l + 1152. Suppose 10*f = 3*f + 455. Calculate the remainder when l is divided by f.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*106386\nAnswer: 42554.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*x + 4*v + v, -v - 3 = x. Let a = -102 + 1123\/11. What is the smallest value in a, 2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 0.1. Let w = u + 0. Suppose -50*z + 54 = 4*z. Which is the biggest value? (a) 2 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/5)\/(-5 + 243\/45). Let v(f) = -3*f**2 + 6*f - 5. Let l(r) = 4*r**2 - 9*r + 7. Give b*v(k) + 5*l(k).\nAnswer: -k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 22*x - 487. Suppose -4*y + 3*u = -u - 112, -4*u = 0. What is the highest common divisor of y and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**5*z**2 + 95596*d**2*z**2 + 43766*d*z**2 - d*z - 3*z**2 wrt d?\nAnswer: 20*d**3*z**2 + 191192*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 1. Let l be h(-5). Suppose -8 = 4*u - 3*t, -3*u - 3*t = -2*t + l. Does 18 divide ((-45)\/u)\/(1\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 = -2, -3*v - x - 174 = 0. Which is the nearest to -2? (a) v (b) 3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -103. Let z be (-6)\/27 - c\/(-18). Solve 3*g = 5*u + 2, 0 = 3*u - z - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 1. Let d(p) = -140*p + 68. Let t(h) = d(h) - 5*v(h). Find the first derivative of t(m) wrt m.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/30*11 + (-68)\/170?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17\/2, 2.206, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 685, 2699, 6063, 10783, 16865?\nAnswer: 24315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 24*w**2 + 37*w - 656. Let t be o(24). Let q be 1247\/6 + 2\/(-6). Let l = t - q. Calculate the common denominator of -61\/4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 1960 = -5*u - 2*l, -4 = -l. Suppose 3*c - o = 338, -5*c + o + u + 168 = 0. List the prime factors of c.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -3) + -9 - (-96861)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2222 + 395 = 203*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 1 + 2)*(-2 + 2*r**2 + 33*r**2 + 4*r**2) as l + d*r + c*r**2 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 43*g + 5. Let c(h) = -86*h - 10. Calculate 2*c(v) + 5*k(v).\nAnswer: 43*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h. Let r(a) be the third derivative of h*a - 1\/30*a**5 + 0*a**3 + 1\/12*a**4 - a**2 + 0. Solve r(x) = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1105 times -216?\nAnswer: -23.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -36149, -72359, -108631, -144965, -181361?\n\"Answer: -31*k**2 - 36117*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*a + 3*r - 22, -3*r = 3*a + 6. Let m = a - -7. Let k be (2\/(-5))\/(2\/(-20)). Solve -g = -m*l + 20, 0 = 2*g - 7*l + k*l + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 29*d**3 + 126*d**2 - 96*d - 8. What is j(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - 27399*p**2 + 109643*p + 5. Determine o(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*u + 2*u + 2*u**4 + 4*u wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -18 - (-9 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 81481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 276697440 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-1)\/((-1)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 910 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwt when three letters picked without replacement from zzwzttztzwztzz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-12)\/w*w)*w)**(14\/3)\/(w**(11\/6)*w**(-26)))**20 assuming w is positive.\nAnswer: w**1790","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 10*g**2 - 79*g - 789. Let q be j(-9). Let l be ((-16)\/4)\/(1\/(-5)). Solve 1 = -2*d + q*v + l, d = 3*v + 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366441557 + -58?\nAnswer: -366441615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 171 + -270. Let m = r - -112. What is the highest common divisor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) + 12\/5. Let i be (-180)\/(-99) - n\/(-11). Let j be 3\/(6\/4) + -1. Solve 0 = 2*b - i*o + 5*o + 2, -b = -2*o + j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 6*z + 0*z + (z - 1 + 1)*(3 - 4 + 2) + (2 - 4 - 3)*(-11 + 11 + 2*z)*(3 - 3 + 1)*(-6 + 4 + 1)*(0 - 3 + 1).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Let f be 4 + 3 - 2 - j. Suppose 3*y + o - 8 = -1, f*o - 11 = -3*y. Solve 2*c = -5*g + 17, 16 = y*g + 2*g + 4*c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*s - 4370 + 22244 = -32286 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 3. Let h(b) = 15. Let a(w) = -8. Let r(d) = 2*a(d) + h(d). What is -5*r(j) + t(j)?\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 9900001*r**3 + 1. Suppose 0 + 6 = 3*f. Suppose f*h - 4 = -6. Let a be z(h). Round a to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -200 at least as big as -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(132))\/sqrt(6))\/(-1*sqrt(396)) - (sqrt(550)*1)\/(sqrt(77)\/sqrt(252) + sqrt(11)).\nAnswer: -53*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 253, 895, 2147, 4213, 7297?\nAnswer: 11603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 2*d + 17. Let m be n(-13). Suppose 11*r = 6*r + m. Is 1 - -1 - r\/(-8) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/30 - b**4\/3 + 3*b**3\/2 + 11*b**2. What is the tens digit of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejjgjtttmmhe. What is prob of picking 1 h, 1 g, and 1 e?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*k - 235718, 0 = -3*n - 4*k + 86343 + 90453. Is n a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1175, -4837, -10941, -19487?\nAnswer: -30475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + n = 75 - 17, -i + 14 = -n. What is the remainder when 35 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-444)\/(-999))\/(48\/(-4536))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/7 - (-636)\/1484?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -75*o - 7. Give h(-2).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60527\/16 + -3777. Let t = -16402 + 459303\/28. Calculate the common denominator of t and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 - 2?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -503568 take away 400?\nAnswer: -503968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002939324562 rounded to 7 decimal places?\nAnswer: -0.0002939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -523*c**3 - 278853*c**2 + 577627590.\nAnswer: -1569*c**2 - 557706*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 37153*-17\nAnswer: -631601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 + f**2 - 2*f**3 + f**3 + 5 + 4*f. Let c be k(5). Find the third derivative of -s**6 - 2*s**6 - 2*s**2 + c*s**2 wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -5*m**5 + 40948780*m**4 - 83840170123190*m**3 + 167680217400060*m**2 - 83840088225645*m = 0?\nAnswer: 0, 1, 4094877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g + 560 = 0. Let x = g - -278. Let s be (-4)\/6*x\/(-4). Solve -5*p - 2 = s, 0 = -4*v + p - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 528*s**4 - 5*s**3*w + 4912*w with respect to s.\nAnswer: 2112*s**3 - 15*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ucyuyuuyuuyuucyu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -402\/923 or 1?\nAnswer: -402\/923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-21))\/((-60)\/28) - 104\/5070. Let x = -17 - -33\/2. Which is the biggest value? (a) k (b) x (c) -0.2 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1184 - 1179. Solve -7*l = 2 + y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 3\/5 (c) -13 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + c796a?\nAnswer: c7969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1534, 1463, 1392?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5)*q**1*(((q**(-2\/3)\/q*q)\/q)\/q)**36 assuming q is positive.\nAnswer: q**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 583772, 583773, 583774, 583775?\n\"Answer: t + 583771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/12)\/x)\/(((x**(1\/13)*x)\/x)\/x*x))**(2\/95)*(((x\/x**(-1\/3))\/x*x*x)\/x*x**6)\/(x**(3\/7)\/(x**0*x)) assuming x is positive.\nAnswer: x**(81787\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of l**4\/4 + 28*l. Let n(u) be the third derivative of -u**5\/20 - 2*u**2. Calculate n(f(k)).\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - 8469?\nAnswer: -8472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413, -420, -431, -446?\nAnswer: -465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7080333 and 1365.\nAnswer: 247811655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174930)\/(-3332))\/((2 + -1)*(-1 + 42\/24))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 0*n - 5*n + (16 - 11 - 4*n - 12)*(1 + 2 - 5) to the form w*n + m and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 668765, 668755, 668731, 668687, 668617, 668515, 668375, 668191?\n\"Answer: -d**3 - d**2 + 668767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33549312809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nas when three letters picked without replacement from {a: 1, h: 8, n: 5, s: 5}?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(300))\/(sqrt(60)\/(1*sqrt(10)*4)) + -4.\nAnswer: -4 + 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) 1\/3 (c) -0.1 (d) -2\/11 (e) -0.5 (f) -0.7 (g) -15397\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, -7\/6, -4, -1.8?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4 (c) -0.8967\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -668 bigger than -670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 385?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(18\/(-4) - -3). Let l(x) = -2*x**2 - 32*x + 1. What is l(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttr when three letters picked without replacement from smlltmtrrmtnnr.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*p + 17 = 0, -4*v + 0*p = p + 8. What is the tens digit of (-3 - -45) + v + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 b, 1 e, and 1 k when four letters picked without replacement from {f: 10, e: 4, b: 1, k: 2}.\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313231 (base 4) to base 9.\nAnswer: -4801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1892, 1149, 9400, 25465, 51948, 91453, 146584, 219945?\n\"Answer: 434*q**3 + q**2 - 2327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (-1324198)\/232. Suppose -w = i - 5*i. List the prime factors of i.\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 3 + 3*g + 42 - 6. What is the units digit of c(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25 + -2)*(-94)\/3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 1 l when three letters picked without replacement from xeexekxxlxxlelxe?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l. Let o(c) = -2*c**2 + 199*c. Calculate o(g(r)).\nAnswer: -128*r**2 + 1592*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.8 - -128. Let b = l - 17. Which is smaller: 53 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/7 + 9\/(252\/100). Let j(t) be the first derivative of -1\/9*t**3 - 1\/12*t**i - 11 + 0*t + 1\/6*t**2 + 1\/15*t**5. Factor j(x).\nAnswer: x*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:29 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 12 = -2*c, 7*a - 6*a + c = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297*m**3 + 113*m**3 + 135 - 134 + m.\nAnswer: 410*m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -428\/609 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 4 (c) -3.87 (d) -4 (e) 11 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m - 60397 - 11887 = -4*m. Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/7, -62, 0.4?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*s = 2*y + 4, 0 = -3*y - s - 7. Let i be (-3 - (y - -5))\/(-2). What is the units digit of 1038\/15 + i\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50890, 203661, 458280, 814747, 1273062, 1833225, 2495236?\nAnswer: 3259095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16815 divided by 1\nAnswer: 16815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 105384 to the power of 1\/2, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4239956 and 36.\nAnswer: 38159604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 443181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/3 + 9910*t**3 - 357074*t**2\/3 - 128934*t = 0. What is t?\nAnswer: -14877, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**3\/6 + 10*x**2 - 227*x. Let n(f) = 3*f. Calculate v(n(y)).\nAnswer: 3*y + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15070 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -95*l**6\/3 + 934*l**2 - 1097. What is the second derivative of o(t) wrt t?\nAnswer: -3800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868615733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*p = 9 - 1, b - 3 = 2*p. Let z be (1 + b)\/(14 - 12). Solve 2*n + 2*n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/4 + (-387)\/(-12). Suppose -2*o + 5*o = -c. Let g(f) = 6*f**2 - 2*f + 5. Let j(y) = 17*y**2 - 5*y + 14. Calculate o*g(s) + 4*j(s).\nAnswer: 2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2006 and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 122121144 (base 5) to base 11\nAnswer: 368854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*k**5 + 7*k**2 - 17*k wrt k?\nAnswer: 4560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2315842\/1441 and 1608 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-880)\/112 - 1\/7) + -1. Let g be (d + 15)\/((-3)\/(-22)). Calculate the highest common divisor of 154 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = j + 6 - 0, -4*r = 12. What is the second derivative of 2*t**2 + t - 2*t - j + 3 wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 8. Let i = 0 + 3. Suppose i*u = 4*z + a, 6*u + 2*z + 8 = 4*u. Let g(h) = -h**2 + h + 5. Determine g(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 29792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1020 - -1236. What is the lowest common multiple of m and 135?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/(-36))\/5*36\/80*10)\/(-53)\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137)\/((-11234)\/6396) + -11?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8 + 49\/(-56).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n + 37 - 37)*(-1 + 5 - 2) - 2*n - 5 + 5 + (4*n + 0*n - n)*(0 + 15 - 1).\nAnswer: 64*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*699.8.\nAnswer: 349.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/6)\/((-52)\/26).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -167*v - 15. Let z(x) = x**2 + 9*x + 16. Let h be z(-6). Let m be k(h). Suppose 70*g - 69*g - m = 0. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a23 + -2?\nAnswer: -1a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 14*i**2 - 14*i - 15. Let n be l(15). Let h(q) be the second derivative of n + 1\/6*q**3 + 2*q + 0*q**2. Let f(w) = 3*w**2. What is h(f(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*m + 577, -23 = 4*m - 5*y - 501. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + -2 + 5 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1185, 1, -5, -7 in descending order.\nAnswer: 1, -5, -7, -1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 7*r**2 + r - 2. Let t be g(7). Suppose 0 = -t*v + 3*v + 52. Suppose h + 117 = 4*h. Calculate the greatest common factor of h and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0548638005 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40950 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -m + 107, 5*m + 206 = 5*p + 41. Suppose 3*t = f - 4*f + 84, p = f + 2*t. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 17*c**2 - 18*c - 15. Suppose -173*y + 2304 = -45*y. Give d(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.347 + -0.147. Which is the closest to 1? (a) f (b) -4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -238? (a) 3 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, -4, 3, 2, 4.\nAnswer: -4, 2, 3, 4, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48823 (base 9) in base 7?\nAnswer: 164316","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10980 + 59*p**2 + 10980.\nAnswer: 59*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 0*x**3 - 3*x**3)*(2*x - x + 5*x) + (0*x + 0*x + x)*(2*x**3 + x**2 - x**2) - 5*x**4 - 84 + 84.\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*12\/8)\/(2\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -1*10\/(-4). Let m = h - -3\/10. Is -2 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + -62. Let v(q) = -q**3 + 2. Let r be v(0). Suppose -z*x + 22 - r = -2*y, -2*y - 4 = 0. What is the lowest common multiple of x and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12965098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = -34375 - 38696 + 263223. List the prime factors of n.\nAnswer: 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8472000 rounded to the nearest one hundred thousand?\nAnswer: -8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*s = 0. Suppose -11*w = -6*w - 10. Let l be w + (6\/(-15))\/(5\/(-25)). Solve -l + s = d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**3 + 8*q**2 + 8*q + 4. Let j(n) = n**3 + 2*n**2 + 2*n + 1. Let h(m) = -2*c(m) + 9*j(m). Calculate h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 461 - 43973?\nAnswer: -43512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 543 + -542.885. Let f = -0.115 + j. What is the closest to f in 0, -4\/7, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/151 + -2760\/1057. Let h = -76\/35 - q. What is the nearest to -1 in -1, h, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*f + 137*f + 118*f + (0 + 4 - 7)*(-5*f + 2*f + f) as o*f + i and give o.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9\/2204 - -253\/5510. What is the biggest value in m, -0.2, -2, 0, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - v - 3 + (0 + 2 + 2)*(-2*v - v - 2*v) + (0*v - v + 0*v)*(-3 + 5 - 1).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.4585883ns in weeks?\nAnswer: 0.00000000000009665771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14383609 from -1876.\nAnswer: -14385485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836*0.8.\nAnswer: -668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 8, t: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 652 + -654. Let f = -3 + 3.3. Let x = f - 0.7. What is the second smallest value in 2, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*u**3 - 30*u**3 + 2799*u**2 - 32*u**3 - 2*u**6 + 919*u**4 - 36*u**3 wrt u.\nAnswer: -240*u**3 + 22056*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22540 (base 6) in base 5?\nAnswer: 100403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*i + 17. Let o = i - -27. Suppose 5*g - 22 = 4*k, -20 = -2*g - 3*k - k. Calculate the lowest common multiple of g and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12655455949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 114*f - 8 - 121*f - f**3 - 7*f**2 + 16*f**2. Let k be r(8). What is the closest to k in -3\/2, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 6*g**2 - 6*g - 7. Let i be r(7). Let o(v) = -2*v - 10. Let s be o(i). Let a be (-3)\/2*s\/3. What is the highest common divisor of 15 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 655 = 5*s - 177, 5*p - 1049 = -4*s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 - 5*g**2 - 1 + 1.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2. Let h(y) = -2*y**2 - y - 2. Let r(s) = -25*s - 50. Let t(l) = 25*h(l) - r(l). Determine t(w(m)).\nAnswer: -800*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(((-1674)\/(-144) + -9)*(-2)\/(-14)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25486 is divided by 232?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = l - 4*l + 5*z, 0 = -5*l + z + 283. Let h = -42 + l. What is the remainder when 27 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 33*v**2 + 5*v + 19. Let m(j) = -28 - 33*j**2 + 11 - 1 - 5*j. Let a(u) = -5*l(u) - 6*m(u). Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 60775 = 67*c - 4*r, -4*c = -3*r - 81025. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 31*n = 35*n - 152, -i + 42 = -n. Calculate the least common multiple of ((-54)\/45)\/((-3)\/40) and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*i - 59577 + 60956 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (1 + 0 - 3)*(-3 - 1 + 2) + 3 - 3 - 2 + 6 - 1 - 4)*(-5 + 5 + y) - 563 + 563 - 142*y.\nAnswer: -137*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245016 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, s: 1, h: 4, e: 7}. What is prob of sequence ee?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) - 1\/(-4). Suppose -u = v - 5, -3*v = -5*v. Sort -1, u, c in ascending order.\nAnswer: -1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -265 - 4*p + 16*p + 263 to the form v*p + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oza when three letters picked without replacement from {u: 4, z: 2, a: 3, h: 2, o: 2, s: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*i + 1 = 0, -5*k - 2*i - 3*i = -15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/43)\/j*j*j*j**5\/j*j*(j\/(j**(2\/9)\/j*j*j))\/(j**(1\/16)*j) assuming j is positive.\nAnswer: j**(28909\/6192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196 + 864 - 282 - 194 - 190 - 218*k.\nAnswer: -218*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 - 17*d + 13. Let l(a) = -2*a**2 - 18*a + 12. Let v(y) = -7*c(y) + 6*l(y). Is v(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*n + 2 = 105*n. Let f(t) = -5*t**2 + 6*t**2 - 3*t + 0*t**2 + t**n + 1. Calculate f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1476*h**2 - 199*h**3 - 83 + 82 - 533*h**3 - 103*h**3 - 928*h**2 wrt h?\nAnswer: -5010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0, 2\/15, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 2. Let s(n) = -n - 4. Let d be s(t). Suppose -49 + 25 = -6*h. Solve h*m - 21 = -d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 86*h - 173*h + 120*h)*(-2 + 1 - 1) as j + m*h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p - 5. Let r(h) = -h - 1. Calculate -4*r(x) + t(x).\nAnswer: 14*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 27) + (-326 - -376)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 9*p + 2. Let k be t(6). Let v be k\/(-7) - (-4)\/(-14). Suppose 2*r - 2*j - j = 5, v*r + 3*j - 23 = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 1 - 17 - 2 + 5 - 4 + (-2 + 2 - 2)*(1 - 2 + 2))*(2 + 1 + 6*u - 4).\nAnswer: -246*u + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + o + 19, -78*i - 12 = -76*i - 4*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008193880568 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let i(q) = -2*q**2 - 3*q + a*q. Let f(r) = 2*r**2 + 7*r - 7. Let o(x) = -x**2 - 4*x + 4. Let v(k) = -4*f(k) - 7*o(k). What is i(v(d))?\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 750766 and 38.\nAnswer: 750766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(1331)*-1 + 5 - (6*sqrt(33)\/sqrt(3) + (sqrt(891)*-1)**2 - (sqrt(1331) - ((-5*(sqrt(1331) - sqrt(1331)*-2))**2 + sqrt(1331)))).\nAnswer: -300359 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -1662*f + 1659*f + 2*w, 6*f = -w - 40 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k**2. Let a(r) = -15851737*r**2. Determine f(a(d)).\nAnswer: -2261498093254521*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + g - 160 = 36, 4*j - g = 204. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 915 (base 14) to base 16\nAnswer: 6f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.44 * 0.7847\nAnswer: 2.699368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18431 + -12462. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -2073\/10 (c) 2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liinlilnlliziiniknkl. Give prob of picking 1 n and 1 i.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/15)\/(6\/5). Let q be -2 + -1 + (-38)\/(-10). Which is the nearest to 0.1? (a) h (b) 3\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*w**3 - 8 + 2 - 3*w**2 + 2*w - 72*w**3 as b*w**3 + m + l*w**2 + i*w and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6 + 8*k**2 + 10*k - 17 - 3*k + 6. Let y(h) = -4*h**2 - 4*h + 3. Determine -4*p(i) - 7*y(i).\nAnswer: -4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 288*p**2 - 192*p - 382. Determine u(-2).\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 432*o**3 + 0.\nAnswer: 432*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77270827.771 - 77390003. Let v = 119572 + b. Let i = 397 - v. Round i to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18021*o - 18012*o = 78525. Is 202 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19 and -0.16475.\nAnswer: 18.83525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -844200 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-1)\/((-1)\/2)). Let w be 3 - (0 + 0 - g). Find the second derivative of 0*h**3 + h**3 - 3*h**3 + w*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (1*sqrt(99) + -1))**2 - (4 + sqrt(99) + (-4 + sqrt(99))**2 + sqrt(99)).\nAnswer: -118 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1886)\/41)\/(-5014))\/(-1).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 29 = 10. Which is the second biggest value? (a) 0.2 (b) -0.7 (c) 5\/4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66 >= -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + y. Let h = -8 + 7. Let c be (351\/2106)\/(2\/(-36)). Let f(u) = 4*u**2 - 2. Determine c*a(r) + h*f(r).\nAnswer: -r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99, 912, 3117, 7410, 14487, 25044, 39777, 59382?\n\"Answer: 116*t**3 + t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36453*b*v**3 - 450930*b + 577*v**3 - 67*v**2 wrt v?\nAnswer: 218718*b + 3462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3621\/(-71))\/((-30)\/(-20))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.30068\nAnswer: -0.060136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 2 - 5*v - 100 + 9.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 19*b + 1\/8*b**4 + 0 - 1\/2*b**3 + 1\/120*b**5 + 0*b**2. Let p(k) be the second derivative of j(k). Determine p(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkvv when four letters picked without replacement from zvzzkisvmsvv?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 83.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 589.39 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**4\/12 - 4*h**3\/3 - h**2\/2 + 35*h. Let g be s(-6). Let o(p) = -2*p**2 + 23*p + 8. List the prime factors of o(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*((-8)\/(-10))\/2. Suppose 0 = s*m - 5*r - 41, 3*m + 2 + 6 = -4*r. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjhj when four letters picked without replacement from jjssjsjjjhjhhjjjshjj?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -3969702?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 3. Let t = -16 + 24. Let g = 5 - t. Sort v, 4, g in descending order.\nAnswer: 4, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + l - 521 = 0, l - 1 = -4. Let h = t - 102. Suppose -2*f - j - h = -3*f, -4*j = f - 24. Calculate the highest common divisor of f and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 >= 2149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40624549 is divided by 463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3392, -6737, -10058, -13343, -16580, -19757, -22862, -25883?\nAnswer: -28808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -42. Suppose 3*r = -0*a + a + 166, -a + 290 = u*r. Let w = 86 - r. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 10*l**2 + 20*l - 2. Calculate v(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 + 3 + 1 + 0 + 0 + (2 - 3 + 3)*(-1 - 4 + 4) + 6 - 3 - 1 + 2 - 5 + 7)*((-3*d + 0*d - d)*(7*d - 7*d - 13*d) + 4*d**2 - 4*d**2 - 3*d**2).\nAnswer: 686*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11055226 (base 7) to base 12.\nAnswer: -3a081a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 5*s - 8. Let q(w) = 5*w**2 + 14*w + 23. Let r(v) = -8*c(v) - 3*q(v). Let o be r(4). Solve -o*t = -4*m + 4, -t + 4 = -2*t + 2*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.3 and -22?\nAnswer: 292.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -9 (c) 3\/7 (d) -0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 6*r - 25. Let x be l(9). Suppose -x*f = -4*f + 3*k + 95, 0 = -5*f - 5*k + 175. What is the tens digit of 1870\/f + (-6)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21597?\nAnswer: 3, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 3, -15, -35, -57, -81?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m + 20. Let g be 4\/m*3*-1. Let w be (3 - 2\/4*0) + 2. Solve -g*z = -w*r + 3 - 1, 5*z + 16 = 2*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j)**(9\/4) assuming j is positive.\nAnswer: j**(45\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3416519\/2520 - 3508\/315. Let d = 1350 - y. Let a = 148421\/20 - 7423. Find the common denominator of d and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710954 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.52047?\nAnswer: 0.52047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-9 + 9 - 9*b) + 3 - 3 - b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -61. Let t be (-1)\/3*(a + 4). Let v(f) = -72*f - 1. Let c be v(-2). Calculate the highest common factor of t and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84890123.\nAnswer: 84890123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.3 rounded to 0 dps?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2713243 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4539510279 to the power of 1\/4, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/13)\/g**(-39))\/(g**(-16)\/g**(-30)))**(14\/5) assuming g is positive.\nAnswer: g**(4522\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2\/3*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8748 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8*21\/(-56))\/21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrr. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -17. Suppose w*u - 12 = -2. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-6))\/(2\/(-9)). Suppose 4*a = -3*u + 53, 3*a - 2*a - 9 = -5*u. Let f = q + a. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 8:22 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 3*o**2 + 2*o**2)*(-5 - 13 + 3).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136 + 167*d**3 + 278*d**3 - 136 - 275*d**3.\nAnswer: 170*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 108.7757 and 6.02.\nAnswer: 114.7957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (447\/171 + (-29)\/(-551))*(-3)\/(-4). Solve q*p = p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485*b - 487*b = -18. Suppose -3*g - h = 37, 4*h - 21 = 3*g + 11. Let n be (0 - -24)*g\/(-16). Calculate the highest common divisor of b and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*o**3 - 2*o**4 + 0*o + 29*o**3 + 3*o wrt o.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12020*i**4 + 2*i**2 + 2*i + 210346?\nAnswer: 48080*i**3 + 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651470773 a multiple of 2081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000065 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 3:57 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4952, 9764, 14586, 19418, 24260, 29112, 33974?\nAnswer: 38846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088)*1 + (sqrt(17) - (1 + (sqrt(17) - sqrt(68)))).\nAnswer: -1 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 - 3*d - 2. Let y be g(-1). Let h be 0 - (-4)\/(-4)*y\/(-2). Is h bigger than 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ab4 + -59?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -2\/3 (c) 496 (d) -0.9 (e) 0.2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 2*l**2 + 1 - 14862*l + 0*l**2 - 252*l**4 + 14862*l in the form p*l + h + t*l**4 + o*l**2 + b*l**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2466*u + 360. What is the thousands digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than or equal to -0.31294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 0*h - 3 - h + 4. Let n be v(-5). Let k(i) = -135*i - 8502. Let w be k(-63). Solve 4*f + 11 = -w*s, 2*f + s + n = -s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 11*q. Let z(l) be the second derivative of 0 + 1\/6*l**3 + l + 0*l**2. Determine d(z(m)).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -o + 5*x + 159990, 0 = 3*o - x - 479995. Round o to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 9*t + 10. Let s(k) be the first derivative of 2*k**3\/3 + 5*k**2\/2 + 5*k - 7916. What is 7*s(u) - 4*x(u)?\nAnswer: 2*u**2 - u - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 266?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6260677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -92.644 * 31.\nAnswer: -2871.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77392.99ml?\nAnswer: 77.39299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4197203 to the power of 1\/3, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 21*v**2 - 2*v + 1. Suppose 5*u = -k, u = 2*k + 4 + 7. Let r be h(u). Suppose 4*w = 4, 2*w - 2 = -b - 0. Solve 4*o - r = -b*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 598? (a) -2\/5 (b) 2\/9 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - 2 - 0) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3067252 is divided by 7481?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 62 - 59*k to the form m*k + u and give m.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 76 = -0*u. Let h = 21 + u. Factor -7 - 7*z**2 + 5*z + 17 - 5*z**3 - 3*z**h.\nAnswer: -5*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*z + 16. Suppose -4*h = -32 + 180. Let g = -40 - h. What is the second biggest value in 0.4, g, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(4329\/37))\/(1\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(882)*-2 - sqrt(882)))\/(5*(sqrt(96) + sqrt(6)) + sqrt(24)\/sqrt(64)).\nAnswer: -1 + 84*sqrt(3)\/101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 7}. Give prob of sequence ccc.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 9 = -14*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -16, 3*b + 28 = s + 98. Let q(a) = 7*a - 2. Let n be q(5). Let j = n - b. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 7) to base 15\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 - -3186?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1539255 and 1246.\nAnswer: 21549570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 0*i + 20. Let j(h) = h**2 - h - 4. Let k be (-2)\/10 + 1\/5. Let l be j(k). Sort l, i, -8 in ascending order.\nAnswer: -8, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 2*o**4 + 35 + 6*o - 22 - 19. Differentiate q(y) wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7364, -15686, -25892, -38924, -55724, -77234?\nAnswer: -104396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**3\/4 + 3987*l**2\/4 - 39645*l\/4 + 98925\/4 = 0.\nAnswer: 5, 1319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*l - 14849, l + 74266 = 9*a - 4*a. Does 35 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-303 + 0\/1)\/((-66)\/220). Suppose 2*h - n + 424 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 6*t**2 - 6*t + 5. Let j be b(5). Let z be -84 + (j - -3) + -3. Let r = 140 + z. What is the highest common divisor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1628)\/(-259) + (-6)\/21. Let x(t) be the third derivative of 7\/24*t**4 - j*t**2 + 0*t + 5\/6*t**3 + 0. Differentiate x(s) wrt s.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -288 + 920 - 258 + 102 + 688*d**2 wrt d?\nAnswer: 1376*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16822 or 16821?\nAnswer: 16822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/4 + (-517)\/2350*25.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 668537411 to the nearest integer?\nAnswer: 25856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q + 1 - 34*q - 1 + 32*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 1065, 2408, 4299, 6744?\nAnswer: 9749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 26 - (-536 + 528 - (-5 - 1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 130 - 22. Suppose 0 = -3*p - 4*h + 11 + 21, 4*p = -2*h + o. Let u be p\/18 + 8\/(-12). Which is the nearest to 0? (a) 1\/4 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 0, t - 5*s = 1605 + 2135. List the prime factors of t.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25284 (base 13) to base 15\nAnswer: 154a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 41 - 17*i**3.\nAnswer: -17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.47468 to 1 decimal place.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/714*14)\/((-2)\/(-24)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 5 - 21\/9)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53603 is divided by 520.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -64117 and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.0471 - 9359.\nAnswer: -9361.0471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 71*v**9\/252 - 19*v**5\/10 - v**3\/6 + 3*v**2 - 7*v. Find the third derivative of i(u) wrt u.\nAnswer: 17040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 + 2*i**2 - 1. Let j be g(-1). Suppose 250 = j*x - x. Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1437 - -997. Let n = g + 226. Let s = -106 - n. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-25)*(65\/(-26))\/(3\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**7\/2520 - g**6\/540 + g**5\/360 + 2*g**3\/3 + 2*g. Let z(s) be the second derivative of o(s). Factor z(j).\nAnswer: j*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 37 - 11*c**2 + 24*c + 7*c**2 + 6*c**2. Is k(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220212 (base 4) in base 13?\nAnswer: 124b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = -7*r + 2059. Let h = r + -179. What is the greatest common factor of 21 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 235 = 2*h - 964, 5*h + o - 3065 = 0. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l + 472*l = 67*l + 11325 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 - 5. Suppose -2*b + 0 = 2*c - 2, 0 = 2*c + 8. Let l be r(b). Suppose 2*m + 12 = 4*m. Solve 2*z - l = m*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2. Let o = 152 - 158. Let n(k) = 4*k - 101. Let j(c) = -2*c + 51. Let d(f) = o*n(f) - 11*j(f). Determine d(g(v)).\nAnswer: -2*v**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 - -97. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*r**4 + 14797*r**3 - 226788*r**2 wrt r.\nAnswer: -840*r + 88782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 3*c**2 - 5*c - 5. Let v be l(-6). Let y = v - -125. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4 + 10146620*l**3 - 40586456*l**2 + 40586448*l = 0. What is l?\nAnswer: 0, 2, 5073306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11019*v + 21794*v - 2050*v + 1 - 1 in the form m*v + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-90))\/(4\/(-10)). What is the second smallest value in b, 2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.93, -4, 8, 2, 4, -0.2 in descending order.\nAnswer: 8, 4, 2, 1, -0.2, -1.93, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 - 1096*g**2 - 150152*g = 0. What is g?\nAnswer: -274, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 67. Let k(t) = 18*t - 1 - t**3 - o*t**2 + 21*t - 41*t. What is k(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/27)\/(((-2)\/(-6))\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9, 0.078, -2\/13, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 270403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 + 48*f**3 + f**2 - 4*f**2.\nAnswer: 48*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/74 + 25\/296. Suppose 10 = -3*f - 2*f. Which is the biggest value? (a) 4 (b) v (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47038 and 350900.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**7\/630 - i**5\/30 - i**4\/6 - 2*i. Let j(v) be the third derivative of p(v). What is the derivative of j(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:05 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*g - 5418784 - 1031471. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -2*c**5\/5 - 61*c**4\/2 - 798*c**3 - 6615*c**2 + 37044*c + 2072. Factor s(t).\nAnswer: -2*(t - 2)*(t + 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10919\/222 + -295\/6. Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - (-61 - -48).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*g + 280663 = 17*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 + 212 = 5*q. What is the smallest common multiple of q and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*i - 6*i + 236413. What are the prime factors of i?\nAnswer: 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13133 divided by 23?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i - 269. Give u(47).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i - 5*a + 81 = 0, 0 = -5*a + 25. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-25)*20\/(-27)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/6 + 17*f**3\/6 + 13*f**2\/2 + 6*f. Let h(t) be the first derivative of d(t). List the prime factors of h(9).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.1. Let r = p + -0.9. Let z = 0.3 - -1.7. Which is the closest to r? (a) z (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 17 = -m + 3, 0 = 5*m + y - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111220110020111 (base 3) in base 8?\nAnswer: 34141540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5320468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -255*h - 147651. What is w(-579)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.6 - 7. Let g = s - -2.4. Let z = 1 - 2. Which is the second biggest value? (a) z (b) g (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-7) + 44\/7. Suppose g + z - 32 = 0, -5*g + 4*z = -0*g - 196. What is the highest common factor of g and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 363 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28551113+1.433\nAnswer: 28551114.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = 5*q - 30*k, -q - 68*k - 28 = -72*k for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -374, 1327.\nAnswer: -374, 1, 1327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8 - 526723*w - 2*w**3 + 3031213*w.\nAnswer: -2*w**3 + 2504490*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t + 2*r + 7, 2*r = -t - 4. Let u be t - (-8 + -1 + 3). Let c(n) be the third derivative of -n**4\/24 - 6*n**2. Determine c(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -165*f - 2. Let j(l) = 5*l. Let g(c) = 12*c. Let r(n) = -4*g(n) + 10*j(n). What is p(r(y))?\nAnswer: -330*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + -30 + 20 + -37?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16193 is divided by 1616?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/212, 3\/5, -3\/4?\nAnswer: 1\/212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 10:16 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:19 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(931) + 2).\nAnswer: -35*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93.1? (a) 4\/21 (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (14 + -18 - (2 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*x**4 - 197886*x**3 + 13044832.\nAnswer: -84*x**3 - 593658*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -503 + 167. Let n(x) = -5*x**2 - 45*x - 30. Let u be n(-6). What is the highest common factor of v and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -5 + 25\/2*x**2 - 2*x. What is the first derivative of v(u) wrt u?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -148 and 17.6?\nAnswer: -2604.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, 17\/6, -2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 765595507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-70))\/(7\/70).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 24. Let a(q) = q - 6. Let c be a(i). Let u(m) = -m**3 + 7*m**2 - 6*m + 6. Let v be u(c). Solve -2*h - h - v = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - 3) + -18 - -483. Which is bigger: a or 464?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -42a97 + 3?\nAnswer: -42a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 + 61.51. Let d = i + -4.51. Sort d, 6, -4, 3\/7 in descending order.\nAnswer: 6, 3\/7, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -56*q**2 - 2*q + 2. Let i(h) = -280*h**2 - 10*h + 8. Let m(v) = -3*i(v) + 16*o(v). Find the second derivative of m(j) wrt j.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 200 = 12*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (6 - 16) - (-10)\/((-6)\/3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*w - 2*w - 2*n, 3*n + 26 = 4*w. Let s(r) = r**3 - 6*r**2 + 6*r - 2. What is the units digit of s(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*5778\/5779 - -2. Let i = -1126921\/46232 + a. Let p = i + 809\/24. Find the common denominator of -49 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-1 - (-9 - -4)). Suppose 0 = -k - 4*g - 8, -h*k - 7 = -g - 26. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-178*g + 48*g + 1 - 80*g)*(1 + 0 - 3).\nAnswer: 420*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {g: 2, f: 1, m: 2, i: 1, n: 1, q: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1899615221, 1899615220, 1899615219?\n\"Answer: -s + 1899615222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/4 - 137*i**2 + 18769*i.\nAnswer: i*(i - 274)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b + 0*b - 6)*(-2 + 2 + 3).\nAnswer: 6*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2 - 1. Let y(g) = g + 2. Let i be y(-1). Let f be p(i). Let v(x) = x**2 + x + 3. Let k be v(0). Put 0.5, k, f in descending order.\nAnswer: k, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -4, 3, -2, 16, 112 in decreasing order.\nAnswer: 112, 16, 5, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 64065 and 123.9460523?\nAnswer: 63941.0539477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-14 + 0 + 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8576890436 + -0.0423105014. Let v = u + 1.9. Round v to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302002 + -11313?\nAnswer: -1313321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -398, -0.37, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517170859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 27*n - 54*n - 32, 4*h - 5*n = -0*n - 34 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274.14019 or -2\/77?\nAnswer: -274.14019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/11 and -2\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11014924009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-33) - 62\/(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7119 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 161? (a) -1681 (b) 0.3 (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m + 0*m - 106*m**2 + 103*m**2. Let j(d) = -4*d**2 - 9*d + 6. Let v(s) = -23*s**2 - 53*s + 34. Let a(l) = 34*j(l) - 6*v(l). What is a(c(n))?\nAnswer: 18*n**4 - 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Suppose l + 3*k + 13 = a, 3*k = -3*l - 2*k - 23. Is l less than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 4 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + (7 - 8) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/10 - 819\/(-78))*-78?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7389 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 61 - 210 = -h, 6 = -2*j. Let k = h - 90. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4353940 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oouhmu. What is prob of sequence mo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -835 (c) -73\/5 (d) 0.2 (e) 2\/15 (f) 1\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - p**2 + p - 126. Give a(10).\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47443*k - 86613*k - 53967*k + 32954*k.\nAnswer: -155069*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 8*b**2 + 19*b + 102. Let g be c(-7). Suppose 0 = -17*d + 16 + g. Solve -q + 1 + d = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**4\/12 + l**3 + l**2. Let w be j(-5). Let p = 14 + -12. Sort p, w, 1 in descending order.\nAnswer: p, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176675*b**2 + 52640*b?\nAnswer: -353350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.07 + 0.07. Let w = -2.7 - -3. Let h = -1.3 + w. Put h, -3\/7, v in increasing order.\nAnswer: v, h, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431607146?\nAnswer: 2, 37, 5832529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225 - 141. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -419 times 141\nAnswer: -59079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6582314.\nAnswer: 2, 521, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 940\/(-130) + 2520\/(-3276).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**4 - 10012*i**3 - 69920*i**2 - 79808*i + 159744 = 0.\nAnswer: -2496, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - -1) + 0\/(-2). Suppose -b*q = 6 - 14. Let o = 4 + -9. Put -4, q, o in descending order.\nAnswer: q, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56098103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 9*b + 11. Let v be s(-7). Solve 4*f = -f + v for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5098?\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 542664?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*n**2 + 3 - 3*n**3 - 6 - 13*n**2 - n**2 as y*n + u*n**3 + x*n**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = t - 7, 5 = 2*t + h - 3. Sort -4, t, -1 in increasing order.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -1 - 39. Let h be 5\/25 + (-14)\/l. What is the closest to 2\/7 in 1\/2, -0.2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1738096 is divided by 8563.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31492 + 8448?\nAnswer: 39940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 1414\/(-245)*-5.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51 and -15518.\nAnswer: 791418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 39*q - 18. Is y(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4976.4 + 5616371.\nAnswer: 5611394.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, m: 4, y: 6}. Give prob of picking 1 m and 1 f.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4. Let n be -2 - 2 - 3*(-42)\/33. Let z = 0.2 - 0.3. Which is the nearest to i? (a) z (b) n (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/14 + 176\/28. Let l = p - -1. Let w(q) = 10*q - 1. Is w(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(66\/(-21) + 3). Let n be 2\/t - (-183)\/(-567). Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.2 + -29. Let b = -0.026 - -3.926. Let p = b + i. Which is bigger: p or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1304288 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*x**5 + x**4 - 50*x**2 + 23839*x wrt x?\nAnswer: -440*x**3 + 12*x**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 50*u + 2*u**2 + 55*u.\nAnswer: 2*u**2 + 102*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(16\/540*-3). Let l = 115 + h. What is the closest to -1 in l, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -3, 108 in descending order.\nAnswer: 108, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4242 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 611656*j + 611652.\nAnswer: 4*(j + 1)*(j + 152913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(110) + sqrt(110) + (-5*sqrt(110)*3 - sqrt(110)) + sqrt(110) + sqrt(110)))\/((sqrt(200)*2)\/sqrt(5)))**2*1.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45532 is divided by 66.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2511 by 837.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1829 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (50\/(-6))\/(3\/(-6 + -3)). Let s be (4\/(-5))\/((-10)\/w). Solve 0 = -2*b - s - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 203, 1, 2, 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 divided by -162?\nAnswer: -760\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1737, 7019, 15823, 28149, 43997, 63367, 86259?\n\"Answer: 1761*t**2 - t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.9 + -4.99. Let h = -19 + g. Let y = 0.09000061 + h. What is y rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98, -86, -74, -62, -50, -38?\n\"Answer: 12*h - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 50*c**4\/7 - 19881040*c**3\/7 + 1976286709808*c**2\/7 - 1581019824960*c\/7 + 316203328800\/7 = 0.\nAnswer: 2\/5, 198810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 775*b - 10514 - 9591 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/60)\/(1\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2417 - 11?\nAnswer: -2428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602*s + 20*s + 163*s.\nAnswer: 785*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-7))\/(6\/21) - (-5)\/((-20)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 11314400?\nAnswer: 11314400","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, -9, 14\/17?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/72, -0.3, -10\/11, 0, -1\/3 in increasing order.\nAnswer: -10\/11, -1\/3, -0.3, 0, 1\/72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4450751 is divided by 202306.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*u = 2725, -5*u - 1522 = -4*a + 1243. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6112560012 and 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/7)\/f)\/f**(-2\/5)*(f\/(f*f*f**(-2)))\/(f**(1\/11)\/f) assuming f is positive.\nAnswer: f**(724\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*d + 4*c, 0 = -d + 4*c + 7. What is the highest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 81e4 + -39?\nAnswer: 81aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 809*z**3 - 13*z**2 + 12*z - 8. What is the remainder when j(2) is divided by 137?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -22*a**2. Let t(p) = -2*p**2 - 82 + 82. What is w(t(l))?\nAnswer: -88*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69223 by 2233.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/5 (b) -3\/5 (c) 985.3 (d) -0.1 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**2 + 82*n + 5. What is the remainder when a(24) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {l: 2, y: 7, a: 1, m: 3, z: 1, t: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.065*-0.07.\nAnswer: 0.00455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 7. Are j and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-253 + 112 - (-46 - -3)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 60 - 12. Solve -1 = -35*v + y*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q - 24. Determine x(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21*285\/1197 + (-36)\/(-2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -51*x**2 + 184704*x - 488565 = 0.\nAnswer: 45\/17, 3619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1080*u - 1087. Let y be p(-1). Suppose -o - 2 = 4*z - 7, 0 = -4*o + 3*z + 20. Sort -4, y, o.\nAnswer: y, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.513 - -0.5222. Let u = o - 0.4092. Which is the second biggest value? (a) 1.1 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 4*z + 9 - 3*z + 3*z. Let c(o) = 27*o - 37. Let l(d) = -2*c(d) - 9*r(d). What is the derivative of l(f) wrt f?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*i + 9 = 0, -4*m + 6*i - 2*i + 12 = 0. Which is the third smallest value? (a) m (b) -36 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.042 - -0.458. Let w = -3.5 - b. Put w, -1\/5, 1 in decreasing order.\nAnswer: 1, -1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/56)\/(-3*5\/30).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (52 - 146 - (8 - 3))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + -1. Let b = 0.05648 + 0.04352. What is the closest to u in 0, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.81 + -0.89. Let o = -0.7 - y. Let h = o + -14. Which is the fourth smallest value? (a) -0.2 (b) 4 (c) -0.4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 6:27 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7364866 nanograms to milligrams.\nAnswer: 0.0000007364866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2*t**2 - t**2. Let a(h) be the first derivative of -h**5\/40 - 2*h**3\/3 + 1. Let y(b) be the third derivative of a(b). Determine y(i(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/6 + 27715\/(-138). Calculate the remainder when 191 is divided by 10\/6 + w\/(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3661\/(-525) + 7)*5. Let u(f) be the second derivative of 2\/5*f**5 + 5*f + 0 + 0*f**2 + 1\/3*f**4 + t*f**6 + 0*f**3. Determine x, given that u(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2977387 micrometers in kilometers?\nAnswer: 0.0000000002977387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p*z**3 - 4*p*z - 86*z**3 - 3*z + 1 wrt z?\nAnswer: -18*p*z - 516*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:00 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/10025 and -63\/110275.\nAnswer: 110275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23043 is divided by 11513?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2. Let c(q) = -4*q + 29. Let k(d) = -d + 6. Let n(s) = -4*c(s) + 22*k(s). Determine y(n(p)).\nAnswer: 36*p**2 - 192*p + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/401177 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-26)*1\/(-2). Let o = 15 + -11. What is the nearest to 1 in -5, o, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:22 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-44)*9\/(1854\/(-19261))?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 669, 2718, 6153, 10980, 17205?\nAnswer: 24834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -8857, -2, 1, 5, 2, 3 in ascending order.\nAnswer: -8857, -2, 1, 2, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 343*l - 6238 + 12069 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*9\/(-9))\/(6\/2)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -5.7. Let i = 0.02 + -5.02. Let u = -7 - i. Which is the biggest value? (a) -2\/9 (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*l**3 + 31*l**2 - 31*l**2 + 603*l**3.\nAnswer: 386*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g + 3 = 0. Suppose 2*i = 2*z + 26, z - 6*z - 1 = g*i. Suppose i*s + 2*s = 450. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**3 + 7*b**2 - 4*b - 13. Let x be v(-5). Let r = -7354\/9 - x. Suppose r*u**4 + 0 + 8\/9*u**2 + 0*u - 20\/9*u**3 = 0. Calculate u.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-8))\/((-5)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/15208 + 612377\/8075448. Let l = 2\/59 + f. Let a be (-264)\/(-112) + -2 + (-5)\/10. What is the nearest to -1\/4 in -4, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16832 + -16830.9165. What is b rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6) + 6\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 14, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4154721, 8309438, 12464155?\n\"Answer: 4154717*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 345*z**2 + 340*z**2 - 671*z**2. Let b(t) = -2*t. Determine b(u(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.874 + -1.474. Let u = 5 + -7. Which is the nearest to 0? (a) u (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/6 + j\/2 + 1\/3 = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = s + 3*p, -13 = 5*s - 2*p + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 10:49 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284.64455 rounded to the nearest 10?\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 435 and 1218.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2 and -31\/208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in -3, 2.8, 7, 0, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -229, -408, -609, -814, -1005, -1164?\nAnswer: -1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4)*r*r\/(r**(3\/5)*r)*r*r*r**(-4\/3)*r\/(r**(-1)*r)*(r*r**(2\/5))\/(r\/(r**(-5\/3)*r))*r**(-5)\/r*r*r**0*r assuming r is positive.\nAnswer: r**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**4 + 4*i**2 - 4578*i - 41702 wrt i.\nAnswer: 8*i**3 + 8*i - 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11245, -22423, -33601, -44779?\nAnswer: -55957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(1300) - (sqrt(1300) - (sqrt(1300)*-2 - sqrt(1300))*6)) + sqrt(1300))*5)**2.\nAnswer: 28177500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, h: 4, j: 3, i: 2, o: 1, a: 1}. Give prob of sequence it.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minus -5224075?\nAnswer: 5224131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-35)*(66\/18)\/(-11).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -15*f**3 + 4*f**2 - 55*f + 10. Let b be i(-14). What is the third derivative of b*s**3 - 243*s**4 - 42724*s**3 - 61*s**2 wrt s?\nAnswer: -5832*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 79 - 69 = 4*k + 5*p, 4*p + 16 = -2*k - 2*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-1 - (-45 + -59)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(72)*-6 - (sqrt(8) - sqrt(72)*2)*2)\/(1*(sqrt(100) - sqrt(100)*1) + sqrt(100) + sqrt(100) - -3*2*sqrt(100)).\nAnswer: -13*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -427. Let d = y + -432.00221. Round d to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 590610398 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10842 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 0. Let l = 2292 - 16145\/7. Let f = l - -15. What is the third smallest value in -0.3, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 7. Let i be n(-3). Which is the third smallest value? (a) i (b) 5 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2. Let s(u) = 17 + 8 + 7*u - 22 + u**2 - 7*u. What is p(s(c))?\nAnswer: -7*c**4 - 42*c**2 - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28549 + -28553. Let d be 2\/(-6) + 1\/2. Which is the second smallest value? (a) m (b) d (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -19*q**4\/4 + q**3\/6 - q**2 - 20*q + 24. Let n(z) be the first derivative of r(z). Find the second derivative of n(s) wrt s.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 2*q**3\/3 - 22*q. Let z(f) = -9*f. Calculate z(c(a)).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x + 106. Let b(y) = -11*y - 96. Determine 9*b(g) + 8*o(g).\nAnswer: -3*g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -480*b. Let z(m) = -2*m**2 + 17*m - 34. Let h(u) = -u + 2. Let i(r) = 34*h(r) + 2*z(r). What is o(i(l))?\nAnswer: 1920*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*b + 38. Let t be -4 + b + 5 - -1. Solve t*l + 10 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10 - -100)*(-1 + 6 + 0). Suppose 10*z = z + p. What is the highest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 2. Let d be w(3). Let h = d + 24. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 98.93427 nanometers?\nAnswer: 0.00000009893427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 496\/256 - (3\/15 + (-9)\/(-5))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.3 - -4.3. What is the nearest to c in -9, -0.5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2403315 (base 6) to base 13\nAnswer: 44c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 112560 = -39660. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwwmxwxxwwvmwwwmw. Give prob of picking 1 x and 2 w.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716 = -13*l - 152*l + 7039 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 - 52. Let p = g - -109. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 - 2*q**2 - q. Let p be v(-1). Let i(a) = p*a**2 - 2*a + 0*a**2 + 2*a. Let g(w) = -w. Determine i(g(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -17850695.\nAnswer: -1\/3570139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 272306950*z**2 - 388*z - 67056 wrt z.\nAnswer: 544613900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*p - 2*p. Suppose -3 = 2*m + p, -4*v = -5*m - 31. Suppose 4*u - 3*s = 16 + 11, -5*u = v*s + 5. Solve 4*w = u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63272574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12\/(o\/((o\/(o\/(o*o\/(o*o**(4\/5)*o)*o*o))*o*o)\/o*o)))\/(o*o**(2\/3))**(-32) assuming o is positive.\nAnswer: o**(1013\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/31 and 37\/237057.\nAnswer: 237057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 0 - -5) + (-7 - 3 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 14830252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149608 is divided by 8771.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {m: 1, a: 1, n: 1, p: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from yooyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 + -153. Suppose 0 = -5*i - 5, 8*p - 2*i = 3*p + 22. Find the first derivative of -c + 6 + 3 + 22*n**p wrt n.\nAnswer: 88*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 4*t + 213034 - 213054, 3*z + 3 = -3*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 56*n**3\/5 + 188*n**2\/5 + 56*n\/5 - 12\/5 = 0?\nAnswer: -3, -1\/2, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37.98 + -38. Let g = -0.32 - p. Let x = -0.2 - g. What is x rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11133 - -155975\/14. Suppose 5*y - n = -4*n - 46759, 4*y = -5*n - 37415. Let f = y + 243129\/26. What is the common denominator of f and v?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21546\/23940)\/((-6)\/(-20)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from imciucmcckicumccm.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 0.077?\nAnswer: 0.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 17*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2))**(-11)\/((y\/y**(3\/2))\/(y*y\/(y*y*y*y**3*y*y*y*y))) assuming y is positive.\nAnswer: y**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270344*-3.\nAnswer: -811032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, d: 1, h: 2, t: 4, y: 2, a: 5}. Give prob of picking 1 u, 1 d, and 1 h.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122147 plus 0.05?\nAnswer: 1122147.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111222 - -220020022021?\nAnswer: 220020211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/11)*a*a*(a**(2\/21)*a)\/a)\/(a**11\/a**(-1\/7)))**(-22) assuming a is positive.\nAnswer: a**(3676\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -815422234 divided by 22?\nAnswer: -37064647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696482 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 -4*y + 156 = -4*a, 0*a - a = 5*y - 201. Calculate the highest common divisor of y and 920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 11*m + 6. Let p be l(5). Suppose 183 - p = 2*n. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 3*y**4\/4 + 17*y**3\/6 + y**2\/2 - y - 41. What are the prime factors of d(9)?\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(19) + 1 + -3.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*a + 25 = -3*a, a = -4*n + 20. Suppose j - 17 = -3*t + 7*t, 5*j - 70 = n*t. Let o = j + -8. Solve -3 = 3*z + o*m, 0*m - 1 = z + 4*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 8*a**2 + 2*a - 12. Let n be l(8). Suppose 4*t + 252 = -2*i, -n*t = -5*i - 3*t - 663. Let v = -79 - i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67215 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/3, 3\/2, -246, -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1720879 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.1 in 0.8, -0.1, -11\/24, 2\/7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*h - 90*h = -420. What is the remainder when 344 is divided by h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*p + 8 + 7, 12 = -4*p + v. Is (((-18)\/12)\/p)\/(1\/64282) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/16*-8*2. Solve -3*i + n*j = -0*i, -2*i = -j + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*c - 3612 = 69*c. Calculate the greatest common divisor of c and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/19 - 4074*w\/19 - 243020\/19.\nAnswer: 2*(w - 2095)*(w + 58)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 3*c = -324, -4*b + 415699*c - 415696*c = -36 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8*224\/42. Sort -0.5, v, -0.243 in ascending order.\nAnswer: v, -0.5, -0.243","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36, -190, -466, -864?\n\"Answer: -61*n**2 + 29*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76*5.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -2*q**6 - 7*q**5 - 530*q**3\/3 - q**2\/2 - 1226. Find the third derivative of c(j) wrt j.\nAnswer: -720*j**2 - 840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420058 a multiple of 791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10873860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*r + 265, -5*r - 13*n + 16*n + 443 = 0. Let b(j) = j**2 - 2*j. Let d be b(4). What is the greatest common divisor of r and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17662, -35323, -52984, -70645, -88306?\n\"Answer: -17661*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 528, -34, -1\/5, 0.22?\nAnswer: 528","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1\/3)*o*o)\/o*o)**(-28)\/(o**(2\/5))**(4\/13)*(o\/(o*o\/o**(-7))*o**5\/o)\/((((o*o**(-2))\/o)\/o)\/o**(2\/5)) assuming o is positive.\nAnswer: o**(-18341\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147007, -1176022, -3969061, -9408136, -18375259?\nAnswer: -31752442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 70 (c) -0.3 (d) 4\/7 (e) 4 (f) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -287 - -188. Let t = 101 + h. Let x(b) = 7 + 3*b**2 + t - 8. Give x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**3 - 98*t + 5. Let a(q) = -8*q**3 - 97*q + 6. Let w(v) = -5*a(v) + 6*n(v). What is the second derivative of w(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02055 rounded to three decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(2\/15). Suppose 0 = -5*x + 5*b + 404 - 364, 0 = -2*x - 5*b - 19. Solve 7 + x = -w*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30a + 23b27?\nAnswer: 24134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238465 and 1480?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/13)\/(c*c**1*c))\/(c**20)**(-2\/19) assuming c is positive.\nAnswer: c**(-335\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2175201 and 0.11?\nAnswer: -239272.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21190 divided by 21190.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + (-28294)\/(-387) - 34?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 10*w**2 + 5*w - 43. Determine y(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -56\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7875714 and 8162?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 4 (c) 3 (d) 20 (e) 63\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 7, j: 3, x: 1, l: 1}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*m**2 + 31*m**2 - 62*m**2 as d*m + j + g*m**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -6, 4, -4, 12.13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k**3 - 4*k**2 - 3*k - 3. Let u = 50 + -52. Suppose -5*x = -106 + 121. Let s(y) = 6*y**3 + 3*y**2 + 2*y + 2. What is u*f(d) + x*s(d)?\nAnswer: -6*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 338005*y**2 + 13514200*y - 135122000.\nAnswer: 5*(y - 67561)*(y - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551 and 299459.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -177851?\nAnswer: 5\/177851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6952 + -6728. Solve -33*r + r - m = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*x - 5040 = -34237 for x.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6603 and 1065.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llullqqulqqlluqluqqu. Give prob of picking 2 u.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -335275, -670555, -1005835, -1341115, -1676395, -2011675?\nAnswer: -2346955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 d when three letters picked without replacement from {l: 5, d: 2, w: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-2 - 0) - (-19 - (39 + 68 - 55))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Let f = -45 + 53. Let q(v) be the first derivative of -8*v**2 + 9 + f - 7 + 19. Determine i(q(z)).\nAnswer: -256*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-3) + 4\/6. Let g be 2 - (l + -1 + 0). Let u = -51 + 55. Solve -u*v + 0*v = -g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/43 and 23\/29.\nAnswer: 1247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y + 0*y - 27*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -195809 - 61\nAnswer: -195870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/17 (b) -1\/2 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 46*a + 239. Let r be o(-6). Is -64\/3 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 242908400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s + 3570 = 0. Find the common denominator of ((-3)\/18)\/((-28)\/s) and -2 + ((-53)\/6 - 6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-8 + 56 + -22)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 4.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0718 and -243756.\nAnswer: -243755.9282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84899 and 1825?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 2*j - 2*j**2 + 5*j**2 + j**2 + 3. Let z(u) = 6*u - 9. Let k be z(2). Let h(d) = 2*d**2 - 4*d + 7. What is k*h(p) - 7*n(p)?\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - -0.83. Let f = 1.28 + a. Sort -1, 0.1, f, -5 in descending order.\nAnswer: 0.1, f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6360*t**3 + 3184*t**3 + 3178*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 36526353 to the power of 1\/2, to the nearest integer?\nAnswer: 6044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17054 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -106. Calculate the smallest common multiple of 2 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 43548969*g**2 - 43548971*g + 2.\nAnswer: (g - 1)*(43548969*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.07 (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 12, 5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 4*t - 3. Let f(o) = -8*o**2 + 34*o - 5. Let q be f(4). Determine a(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 75*t.\nAnswer: 75*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -285597\/28 - -82076\/7. Let j = -1525 + u. Let -j + 9\/8*p**3 - 11\/8*p - 3\/2*p**2 = 0. Calculate p.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + -2. Let d be (k\/15)\/((-2)\/11). Solve 4*t - 5*q = -d, -5*t + 1 = 4*q + 25 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110682030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-27)\/(22140\/(-5))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.6 from 1842.\nAnswer: 1833.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 - 10 = 2*v, v - 2 = -m. Let g be (-989)\/(-3) + 2 + m\/6. Suppose 2*h - 4*b - b = 589, -h = 5*b - g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7386.428 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 9*x**2 + 3. Let l be m(-9). Let u = 0 + 1. Suppose l = 4*j - u. Sort j, 5, -4.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9947 = -1502*b - 65677 - 28556 + 6182 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76352 - -151359. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(108))\/sqrt(9) + sqrt(12) - ((sqrt(270) - sqrt(270)*-3)\/sqrt(10))\/sqrt(9).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzri when four letters picked without replacement from fiuurzufu.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c - 2*c**2 - 46*c - 13.\nAnswer: -2*c**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4*512\/192)\/(4\/(-90)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23289, -23647, -24295, -25275, -26629, -28399, -30627?\n\"Answer: -7*z**3 - 103*z**2 - 23179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1427114 divided by -713557.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2324 (b) -0.5 (c) 3\/5 (d) 2\/9 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226411 = 16*s + 19627. What are the prime factors of s?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.4. Let f = -2.0576 + 1.9576. What is the nearest to f in 5, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -286?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 5:27 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 11*p**2 + 1. Let f be d(11). Let c(x) = 117*x**3 - x**2. Let b be c(f). Suppose 3*q - b = -q. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*s - 100*s = 116*s - 1566 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 + -142. Let y(k) = 32 - 8*k + 23*k - 15*k - p*k. What is the tens digit of y(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6372 and -97\/105492.\nAnswer: 949428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 717874.5 to the nearest one hundred.\nAnswer: 717900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123507 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12462809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5635615 (base 7) to base 12.\nAnswer: 298147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*w - 178*w + 594 - 36.\nAnswer: -2*w + 558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 3688\/415509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -17, -68, -143, -242?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -52621*t + 263095. What is l(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*y = -3304, 8*p = 13*p + y + 4130. Let k = p + 831. Sort 14, 2, -5, k.\nAnswer: -5, 2, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11\/12 (b) 2\/3 (c) -0.057\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14004431 - 243?\nAnswer: 14004144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 14. Let m = 11 - s. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 12*d**2 + 36*d - 167. Let y be p(7). Let z(m) = 18*m**3 - m**2. Let a be z(-1). Let b = a - -6. Is b smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 - 2*h**2 + 2*h**2 + (-11*h**2 + 14*h**2 + 4*h**2)*(3 + h - 3) - 6*h**3 + 5 - 5 in the form p*h + r + y*h**2 + m*h**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-252)*-3 - (-6137088)\/122976\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5278, -5275, -5272, -5269, -5266, -5263?\nAnswer: -5260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 22 = -5*h, -7*h + 2*h + 27 = -2*n. Suppose 3*a = -2*w + 66, 0*w = 2*w - h*a - 34. Suppose 59 = 2*o - w. List the prime factors of o.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 19*v**2\/2 + v + 2. Let i(y) = -y**3 + 4*y**2 + 6*y + 6. What is the remainder when l(1) is divided by i(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*m = 71 + 17, -3*m + 60 = 4*c. Suppose -c = -2*j - 4*d, -3*j = -j - 5*d. What is the smallest common multiple of j and -1 + (29\/1 - 0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248885803?\nAnswer: 248885803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*s + 6 = 0, w - 1 = 2*s + 9. Suppose i + 0 = 5*n - 11, 2*n + 2*i - w = 0. What is the highest common divisor of n and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and -140?\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 37. Let t = 81 - r. Suppose t - 1 = 4*d. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose f*a - 360 = -a. Let b be ((-1)\/(-3))\/(4\/a). Solve -2*g + b*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 8 = -2*n, 4*i - 2 - 2 = 5*n. Suppose 3*z - z = 20. Calculate the remainder when z is divided by ((-16)\/4)\/(n\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1198*u = f - 1202*u - 80, -77 = -5*f + 3*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1062 and 11.\nAnswer: 10.8938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 8 = -u, 4*j + 40*u - 37*u - 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 910*g - 867*g - 129. Solve -l - 4*d = 0, 0 = 2*l - 0*l + 5*d + g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 568?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 16 = 4*r, 11*r - 6*r - 2*c = -20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -401414 or -401401?\nAnswer: -401401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 415376415?\nAnswer: -415376411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (sqrt(1573) - (-3*sqrt(1573) - sqrt(1573)) - sqrt(1573))) + sqrt(1573) + 1.\nAnswer: -22*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -52*j**4 - 5*j**2 + 4*j + 5. Let l(f) = f**4 + f**2 - f + 2. Let n(p) = -4*l(p) - x(p). What is the third derivative of n(o) wrt o?\nAnswer: 1152*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 44*o**3 + 248*o**2 - 404*o + 112 = 0.\nAnswer: -7, 4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 96 = -0*p + 2*q, 2*p - 5*q + 89 = 0. Let b = p + 53. Solve -2*w + s = -4*w - 3, b = -5*w - 4*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 7:59 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffi when three letters picked without replacement from {q: 9, f: 2, i: 6}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 6. Let c be o(4). Let j(s) = s**2 + 7*s - 121. Let q be j(8). Let h be (c\/(-5) + q)\/(-3). What is the second biggest value in h, -1\/3, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**5 + 0*w**5 + 4*w**5)*(-6 + 0 - 2 - 1 - 1 + 0 + (3 - 2 - 2)*(1 - 1 - 1)).\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -7.16. Let v(q) = 2*q - 33. Let r be v(16). Which is the nearest to u? (a) r (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 26a?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - (-1 - -2))*3. Let j = n + 19. What is the second smallest value in j, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 790.1 - 790. Let l = -29.14 - -29. What is the third biggest value in 0.4, c, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6643*h - 3338*h - 3363*h = -232 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttptpttttpt. Give prob of picking 2 t and 2 p.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 4*n + 2935. Suppose -4*g + 7*g = -3*s + 585, -3*g - s = -n. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0*i - 2*i)*(-3 + 1 + 3) + 5270*i + 17224*i + 15204*i - 13998*i + 10320*i.\nAnswer: 34022*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 greater than or equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 + 3. Let a be (-8)\/20 - (-135)\/25. Let y be 22\/(-8) + (-5)\/20. Let d(o) = -2 + 0 + 7 - 7*o**2. Determine a*b(t) + y*d(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 895*z - 230. What is the hundreds digit of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-21 + 21 + 2*a)*(-3*a**3 + a**3 + a**3) + a**4 + 0*a**4 - 3*a**4)*(-a + 7 + 0*a + 4*a).\nAnswer: -12*a**5 - 28*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -28. Suppose 3 = -f - o + 11, -3*o = -t. Suppose 0 = -h + 4*z + 57, -z = -f*h - 2*z + 184. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + 3 + 1 + -4 + sqrt(468))**2.\nAnswer: -72*sqrt(13) + 504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 1 - 1 - 2*l + 3*l + 7. Let f be i(-5). Factor 0 + 0*t - 2\/7*t**3 + 2\/7*t**f.\nAnswer: -2*t**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*b + 359*b = 71*b + 6*b - 6300 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -471*n + 477*n - 36. Let u(h) be the second derivative of 2\/5*h**n + 0*h**3 + 0*h**2 + 3\/5*h**5 + 0 + 10*h + 2\/21*h**7 + 1\/3*h**4. Factor u(l).\nAnswer: 4*l**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c + 2. Calculate the remainder when 28*(6\/c - 1) is divided by 13 + 6\/((-2)\/1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 123*s**3 - s**2 - 4*s - 2. Give u(-1).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12455428 or -12455431?\nAnswer: -12455428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, e: 2}. What is prob of sequence eaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -225*o**3 + 24*o**2 + 8*o - 642. Let u(i) = 673*i**3 - 66*i**2 - 22*i + 1926. Let t(j) = 11*r(j) + 4*u(j). What is the derivative of t(f) wrt f?\nAnswer: 651*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -105\/2074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2 - 185*c + 212*c**4 - 32*c - 192*c**4 wrt c?\nAnswer: 240*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -5*z + 16631 - 16715, z + 14 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10521957 is divided by 1753601?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5578, -12932, -20286?\n\"Answer: -7354*t + 1776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (660\/(-176))\/(2\/(-8) - 10\/(-16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*t**2 - 2\/9 + 0*t.\nAnswer: 2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, 1 u, and 1 l when four letters picked without replacement from tpuluuulpll.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {l: 1, o: 12}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49133*f - 48485?\nAnswer: 49133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 1630062?\nAnswer: 163006.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132187 or -128300?\nAnswer: -132187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 79 = 29*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 923 - 920. Let v(z) = 0 + 10 - 5*z - 3 + 4*z. Let i be v(l). Solve 0 = -2*u + m - i, -5*u + 5*m = -u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -2*b, -z + 5*b = z - 21. Let y be 5\/((-5)\/z) + 5. Suppose -5*p - y*v = -185, -2*v + 11 = 1. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*h + 122, -w = 4*h + w - 118. Suppose 34*p - 1186 + h = 0. Calculate the highest common divisor of p and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -118*q. Let f(r) be the second derivative of r**3\/3 + r - 78. Calculate x(f(z)).\nAnswer: -236*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3 + 0 - 2*f**2 - 4 - f. Let m = -11 - -7. Let t(q) = -3*q**2 - q - 2. Give m*d(x) + 3*t(x).\nAnswer: -x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*r = -201*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 3*b**2 - 2*b + 13. Calculate l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-35) + (-56)\/20.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5847181.831 to the nearest 100000.\nAnswer: 5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2485 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13230 (base 13) to base 5.\nAnswer: -2114104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1319166 divided by -6.\nAnswer: 219861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*b - 2 + 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -32*v - 4. Let a be u(-2). Let i(r) = 8*r + 27. Let z be i(8). Let h = z - a. Solve -2*t + 5*o = -0*t + h, -3*o + 15 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/(-3) - 7) + 3 + 6832.\nAnswer: 2, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62.006 and -0.1.\nAnswer: 6.2006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 6 (c) 33638\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 5\/62927544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -a + 73. Let w = -72 - a. Let j be (-13 - 0)*(-2)\/14. Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (0 - -2) + 12. Calculate the highest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 28*n**2 - 53*n + 12. Give z(26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j - 32. Let h = -1023\/1780 + 20\/89. What is the common denominator of -89*1*(-8)\/j and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1366*q**5 + 3*q**4 + 714*q**2 + 43968410*q.\nAnswer: -27320*q**3 + 36*q**2 + 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - g + 0*g)*(5 - 10 - 7)*(31*g**3 + 23*g**3 - 16*g**3) + g**4 - 3*g**4 + g**4.\nAnswer: 911*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -18.8. Let g = u + -2. Let j = -833 - -832. Which is the smallest value? (a) j (b) 2\/9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2560347 greater than or equal to -2560340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-187)\/(-119)*(-28)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30335 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12175 + -12175. Which is smaller: -427.4 or g?\nAnswer: -427.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151524909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 238, -772, 0, -1, 4 in descending order.\nAnswer: 238, 4, 0, -1, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*m - 2, 2*x - 4*m = 24. Find z such that -36 + 11*z - z**4 - 4*z + 17*z**2 + x*z - z**3 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 7*r - 16. Let j(u) be the second derivative of u**4\/12 + u**3\/3 - 5*u**2\/2 - 505*u. What is -7*j(y) + 2*v(y)?\nAnswer: -3*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 2*z. Suppose 0 = z*i - i + 5*w - 60, -3*w = -i - 2. Suppose i*k = 5*k + 430. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47619 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 7 (b) -1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012 (base 3) in base 11?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d*h**3*z**2 + d*h**3*z - d*h**2*z**2 + 5*d*h - d*z**2 - 2*d + 402*h**3*z - 17*z**2 wrt h?\nAnswer: 66*d*z**2 + 6*d*z + 2412*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdccdcndddkckckdkcdc. What is prob of sequence nd?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - 2*d)*(-4*d - 2 - 10*d + 5*d).\nAnswer: 36*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 + 8 + 0 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 48\/(-9) - -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91374 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y**2. Let c = -2797 - -2799. Let j(p) = 3*p**3 - 3*p**2 + p. Calculate c*j(z) + 9*l(z).\nAnswer: -3*z**3 + 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674127 (base 8) to base 5.\nAnswer: 24234130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 2) to base 15\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.468 + -0.368. Let f = -16.1 + z. What is the third biggest value in 0.27, 1\/5, 1\/4, f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*b + 3\/2*b**2 + 6 + 3\/2*b**5 - 15\/2*b**3 - 3\/2*b**4.\nAnswer: 3*(b - 2)**2*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 61*z - 125*z - 502*z - 2*z**2 - z**3 in the form r*z**3 + g*z + i + v*z**4 + m*z**2 and give g.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4718 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 15151.49.\nAnswer: -12121.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13121 = 673*v + 1008 - 1342 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*t + 4*c - 0*c, 3*t = -2*c + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9.3 + 0.3045\nAnswer: 9.6045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3102300 + -12133?\nAnswer: -3121033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45951569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 10*j**2 + 11*j - 8. Suppose 13 - 41 = -2*w. Calculate the lowest common multiple of w and p(9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8163 (base 11) in base 15?\nAnswer: -3328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**6\/30 + 2*t**5\/5 - t**4\/6 + 35*t**2 + 2*t + 156. Find the third derivative of w(n) wrt n.\nAnswer: 24*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -715*f - 645*f + 1357*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3756475 kilograms?\nAnswer: 375647500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -23844 + 26046*x + 47678 - 23834 in the form k*x + o and give k.\nAnswer: 26046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let y(z) = 11*z + 142. What is o(y(j))?\nAnswer: 11*j + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -69 + 0*i**2 + 2*i**2 + 2855*i - 2852*i. What is z(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1313343 (base 5) to base 6\nAnswer: -320454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7368 and 339336.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(28)\/sqrt(4)))\/(sqrt(35)\/(sqrt(20)\/sqrt(4))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19996352377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 6*k + 6. Let n be 3\/(-12) - 22\/8. Let v(y) = y**3 + 3*y**2 - y + 1. Let t be v(n). Calculate the lowest common multiple of 22 and d(t).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = -3*v, -5*v = 3*n - n + 2. Suppose -5*s + 45 = 5*c, -2*s + 3*s + 61 = n*c. What is the least common multiple of c and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/20 + t**4\/4 + t**3\/3 + t**2\/2 + 2*t. Calculate a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 12 - 6. Suppose -o*t = -3*t - 3*y + 15, -4*t + 5*y = -9. Calculate the greatest common divisor of t and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*z**(4\/9)))**(3\/2))**(-19))**11 assuming z is positive.\nAnswer: z**(2717\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-3 - (2 - 2) - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1795035, 3590094, 5385149, 7180200, 8975247, 10770290?\n\"Answer: -2*h**2 + 1795065*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4820666 and 762.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 11. What is r(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-294)\/18)*126\/180\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 8 = 4*w - 6*m + 4*m, 0 = 3*m. Sort -3, 5, w, 917 in descending order.\nAnswer: 917, 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 10*q - 168 + 498 - 167 - 159 - 4*q + 4*q**3 + 9*q**2. Give h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63\/8 - 49\/8. Let x = -2 + 1.9. What is the third smallest value in t, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 78409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 37*a**4 + 252*a + 329. Differentiate x(c) wrt c.\nAnswer: 444*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4432.286 millilitres to litres.\nAnswer: 4.432286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(150)\/sqrt(27))\/(sqrt(90)*1 - sqrt(10))*-1.\nAnswer: -sqrt(5)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 77 (c) -0.2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-25 - -39) + -23 + (4 - -2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3090.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179644548?\nAnswer: 2, 3, 127, 117877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxf when three letters picked without replacement from {x: 6, f: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7.426962 times -12\nAnswer: -89.123544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 224*c + 20. Let q(g) = 448*g + 39. Let l(n) = -5*a(n) + 3*q(n). Is l(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = t - 42 + 7, 0 = -m - 3*t + 1. Let z be (-1 - (-2)\/(-4))\/(4\/m). Let x = -4 - -6. Solve -3 = -5*v + i, -z*i + x + 3 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 163*m**2 + 2231*m - 531. Determine r(-64).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 338, 410, 482, 512, 458, 278?\n\"Answer: -7*p**3 + 42*p**2 - 5*p + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11a + -5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -10*q + 13*q. Calculate the remainder when 141 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 403 - 400. Let m(q) be the first derivative of 0*q - 40\/27*q**o - 25\/18*q**4 - 4 - 4\/9*q**2. Factor m(x).\nAnswer: -2*x*(5*x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let v = -687 - -686. Let q(x) = -8*x. Give v*a(g) - q(g).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 l, and 2 f when four letters picked without replacement from {f: 2, x: 1, l: 1, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 179*z**3 - 2*z + 567 wrt z?\nAnswer: 537*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 2:09 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -40\/24441, 4\/13, -3 in decreasing order.\nAnswer: 4\/13, -40\/24441, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 - 16*o - 5. Let v(n) = -2*n**3 - 4*n**2 + 5*n - 1. Let p be v(-3). Let y(t) = 162*t**2 + p*t - 163*t**2 + 1 + t. Calculate 2*j(s) + 11*y(s).\nAnswer: -s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/15)\/(-1) - (-1836)\/45. Suppose 4*k + 0*p + 5*p - q = 0, 2*k = -3*p + 23. Solve 0 = -n - k*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18872, 18881, 18888, 18893, 18896?\n\"Answer: -b**2 + 12*b + 18861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + -1 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Find s, given that 18*s + 6 + 21*s**v - 6*s**2 + 4*s - s = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 15*b**4 - 4*b**2 + 3*b**2)*(-10*b - 20*b + 9*b).\nAnswer: -315*b**5 - 42*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00763551472 rounded to five dps?\nAnswer: -0.00764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3480)\/(-145))\/(4\/2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -43\/62, 3, 1, 4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7864.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 304243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - 6 - (-111 - (-22 + -113)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/12*3\/2. Suppose 5*b = b - 40. Let s be 1\/f - 18\/b. Solve y - s*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1036057106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 792816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5 = -7. Let g be (-4)\/(-14) + (-26)\/(-7). Is n != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 10:39 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 1. Let a(l) = -2*l**3 + 6*l**2 - 3*l + 7. Let d(f) = a(f) + 3*z(f). Give d(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15146.2559 + -15150. Round h to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241392423 minus 1.6?\nAnswer: 241392421.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1209 - 1209 - 5*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - ((4 - (-4 - -11)) + -5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**4 + i**4 + i**4)*(-19 - 3 + 2 - 13).\nAnswer: 132*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 213764492 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 209*f**2. Let z(q) = q**3 - 17*q**2 + q - 15. Let b be z(17). Let h(s) = 20*s + b*s + 13*s - s**2 - 35*s. Give c(h(l)).\nAnswer: 209*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -10*n - 46. Let b be y(-17). Let p = -124 + b. What is the smallest common multiple of 4 and 1088\/48 - (p + (-2)\/6)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-17)\/n)\/n)\/(n\/((n**(-8\/7)*n*n)\/n)*n) assuming n is positive.\nAnswer: n**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6197, -12394, -18591, -24788?\nAnswer: -30985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 1265.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1070, -1801, -2188, -2231?\n\"Answer: 172*y**2 - 1247*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 3 = 13. Calculate the least common multiple of 13 + y - 7\/((-7)\/(-4)) and 34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28653085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 23 + 2210\/(-91)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4506*r**2. Let d(s) = -3*s. Calculate d(f(j)).\nAnswer: 13518*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56291, 56336, 56455, 56684, 57059?\n\"Answer: 6*t**3 + t**2 + 56284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01825342 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let m(t) be the third derivative of t**4\/24 + 2*t**2. Determine h(m(r)).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14342*s + 1. Let m be j(-6). Suppose -5*o - m - 689980 = a, -4*a - 3104132 = 5*o. Let x = a + -1463967. What is x rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from {h: 2, a: 2, y: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 331 (b) -1\/31 (c) 4 (d) 2\/11 (e) -0.4 (f) 48\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9548 + -9673?\nAnswer: -19221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 25*v**2 + 280*v - 40. What is the thousands digit of k(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-132)\/(-30) + 4\/(-10). Solve 3*r - 5 = 2*r - 4*m, 3*r - j*m + 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -172511, -689387, -1550847, -2756891?\n\"Answer: -172292*u**2 - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1288)\/1932*(-645)\/6*(-6)\/5?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/19 (b) -95 (c) 66\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from ccccccrrcccr?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192 - 147. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 1 - 1 + (-4 + 3 + 3)*(-3*d - 3*d + 4*d) + 2 - 2 - 2*d + (-13 + 6 - 21)*(d + d - 4*d) in the form p + u*d and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, -132, 1, -3, -2 in decreasing order.\nAnswer: 5, 1, -2, -3, -47, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41337884*c**3*z**2 + 2*c**3 + c**2*z**2 + 446*c**2*z + 10*c*z**2 - 3*c*z + 6*z**2 wrt c?\nAnswer: 248027304*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 402 + -404. What is the smallest value in -5, p, 0.11, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1656 bigger than -1657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqhhlhlhlhhlh. Give prob of sequence hhl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from {a: 8, s: 1, j: 4, x: 1, b: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 103674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*i**3 + 816*f*i**2 - 1564*i**3 + 2*i - 1 wrt f?\nAnswer: -2*i**3 + 816*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*m**2 + 195*m - 1411 with respect to m.\nAnswer: -38*m + 195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/6)\/8 - (-18)\/27\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17478, -17311, -16866, -16005, -14590, -12483, -9546?\nAnswer: -5641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-4 + ((sqrt(80) - (1 + sqrt(80))*1)**2 - 3*(sqrt(80)*-1)**2)) + 3.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*u**2 - 9*u**2 + 8*u**2)*(2 - 5 + 2)*(-5*u + 0*u + 4*u).\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.615964 to 2 dps.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**3\/2 + d. Let x(v) = 6*v**2 + v. Let q be x(1). Let r(i) = -14*i + q*i + 9*i. Calculate r(w(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n*(n**(-1\/5)*n)\/n)*(n\/(n*n\/n**(-9)))\/n**(-1\/10))\/((n*n**(3\/7)*n**(-3))\/((n*n*(n\/n**(1\/4))\/n)\/(n\/(n\/n**(7\/2)*n*n)))) assuming n is positive.\nAnswer: n**(-1283\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**3 - 2*b**3 + 3*b**3 + (4*b**2 + 4*b**2 + 5*b**2)*(-3*b + 6*b - b))*(4*b - b + 2*b).\nAnswer: 120*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 76*t - 75. Let w be n(-1). Which is the third smallest value? (a) -0.2 (b) 152 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1 - -8) + (144 + -22 - 118)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 25 - -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-2)\/(-12)*3 + (-236236)\/(-56))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 4. Let x be w(-8). Suppose 13*b + x = 17*b. Suppose -c = 5*s - 5, -b*c = s - 2*s - 25. Sort c, 1, -1\/2.\nAnswer: -1\/2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289 + 302. Suppose 50790 = v*r + 987. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1753221 - 977221. Round v to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397458531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7109.76 - 6865. Let j = u + -239. Let a = j - -0.24. What is the third smallest value in 0.1, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -18, 237, 740, 1575, 2826, 4577, 6912?\nAnswer: 9915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 92762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 6*o + 399. Let x = o - 139. Let v = -11\/2 - x. Sort v, -0.2, 4, -2 in decreasing order.\nAnswer: 4, v, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*630294.\nAnswer: -630294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 2:04 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 5 (c) -5\/29 (d) -151.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/(1380\/25507)*112?\nAnswer: 2, 7, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415690 to the power of 1\/2, to the nearest integer?\nAnswer: 2101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -7, -1, 4, 3, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/270)\/((-2)\/48).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**39\/(l*l**(-10\/11))*l**(-4\/3)\/l*l*l**(-18) assuming l is positive.\nAnswer: l**(646\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) - (343\/210)\/7. Sort -4, h, 0.5, 5.\nAnswer: -4, h, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1731 and 46?\nAnswer: 79626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37130454 divided by -687601?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**4\/6 + 20*r**3\/9 - 29*r**2\/3 + 40*r\/3 - 673. What is a in n(a) = 0?\nAnswer: 1, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q, q - 4*q = 5*x - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/14688 and -47\/1496?\nAnswer: 161568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3885367665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 9 - (6 - 6 - 2)) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -16*z + 252. Suppose -3*c + 54 + 15 = 0. Calculate the remainder when a(13) is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -6*b**3 + 8*b**2 + 7*b + 6. Calculate k(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*v - 4)*(0*v**3 - 2*v**3 + 4*v**3) - 2*v**3 - 4332*v + v**2 - 6*v**4 + 2*v**4 + 4340*v.\nAnswer: -8*v**4 - 2*v**3 + v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3 - 478*a**2\/5 + 19473*a\/5 - 3798 = 0?\nAnswer: -633\/5, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/61399181 or 1?\nAnswer: -2\/61399181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 27*m**4 + 1371*m**3 + 10467*m**2 - 14571*m + 2706 = 0.\nAnswer: -41, -11, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 133, -3\/7, -2, 2.4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 i when two letters picked without replacement from {e: 2, g: 1, z: 2, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b1e - 15d1?\nAnswer: -20ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 70 = 3*d, 66 = 2*s + d. What is the smallest common multiple of s and 56?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7352 less than -0.3?\nAnswer: 7351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -199, -2, -2843 in descending order.\nAnswer: 7, -2, -4, -199, -2843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2993649 and 0.1?\nAnswer: 299364.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2\/9 - 25*q\/9 = 0. Calculate q.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3376.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/(2*(-1)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4*r + 18 = 0. Does 4 divide (18\/r)\/(2\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + 3*(-2*-1*sqrt(78) - sqrt(78) - (-1*sqrt(78)*4 - sqrt(78)))\/(sqrt(42)\/(sqrt(896)\/sqrt(8)))))**2.\nAnswer: -3888*sqrt(13) + 606609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - 56 = 0. Let q = y + -15. Suppose -5*w = 2*j + q, 3*j + 2*w + 1 + 13 = 0. Is -4 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2912 is divided by 2893.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 3:23 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - -0.7. Is 4\/9 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + l**2 - 2*l**2 + (0*l - l - 3*l)*(-4*l + 4*l + 2*l) + 4*l**2 - l**2 + 0*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/41 = 5\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/4*8\/(-56)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22419 divided by -1?\nAnswer: -22419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/120 and 25\/996?\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/57 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = 3*l - 20. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 7*w = -246. Let o = -121 - w. Solve o*u + 4 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10637706952.675821439 + 10637706968. Let a = -102.675819829 - i. Let b = a + 118. Round b to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.233 less than -22858618?\nAnswer: -22858619.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3849.9 + -3847. Which is the closest to 0? (a) -0.3 (b) q (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 10 = 2*g, 3*g - 3*u = 8*g - 12. Calculate the lowest common multiple of g and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39*1.89.\nAnswer: -0.7371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wakk when four letters picked without replacement from {k: 2, a: 2, p: 1, w: 1, v: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32\/5 + 91\/15. Which is the second biggest value? (a) q (b) -3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 539*w**3 + 2*w**2 + 2*w + 3. Let n(u) = -2*u**3 + u**2 + u + 1. What is h(d) - 2*n(d)?\nAnswer: 543*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -411*h**2 + 10*h + 11. Let v(z) = 82*z**2 - 2*z - 2. Calculate 2*q(f) + 11*v(f).\nAnswer: 80*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 b when three letters picked without replacement from {r: 3, b: 1, u: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 499358329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -9*f - 2*q + 68, 266 = 11*f - q. Let j(k) = -k**3 + 9*k**2 - 10*k + 8. Let b be j(6). Calculate the highest common divisor of b and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-70)*-2 - (-44)\/20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (0 - (1 + -2)). Let r(z) = -z + 4. Let c be r(4). Solve 0*t**2 + t**h - t + c*t = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -1325?\nAnswer: -1325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -664, 2, 6, 3, 5 in decreasing order.\nAnswer: 6, 5, 3, 2, -664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 32*x**3 - 10*x**3 - 6*x**2 + 60*x**3 - 41*x**3.\nAnswer: -23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(54 + -60). Suppose -4*n + 637 = -q*n. Does 49 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 2*h = 8, -3 = -3*m + 4*h - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*t + 4*q, 2*q = 11*t + 5 - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**3*m**2*s + f**3*m*s**2 + f**3*m + 18*f*m*s - 374*m**2*s**2 wrt s.\nAnswer: 2*f**3*m - 748*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*a = -34*a + 28*a - 540 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(66)\/sqrt(2)*5 + sqrt(33))*4)\/(sqrt(99)*2 + sqrt(11) + (-6*sqrt(275) - sqrt(11))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 4*n)*(1 - 2 - 1) + 0*n + n - 5*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 103 = 3*v, v = -2 - 2. Suppose -k = -128*q + 123*q. What is the lowest common multiple of 6 and q?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 2399605250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50b95 - 26d?\nAnswer: -50e02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -80132.\nAnswer: -5\/80132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, 31, 309, 779, 1447, 2319, 3401?\nAnswer: 4699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 981 + -190. Suppose 3*y = -1294 + 436. Let w = u + y. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*j**5 + 187*j**2 wrt j.\nAnswer: 6540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6831648 millennia to decades.\nAnswer: 68.31648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3062618 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.205 + -0.079. Let c = 0.126000773 - t. Round c to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-44)\/(-14))\/(8\/(-28)). Let f be (-4)\/18 - (-19)\/(342\/r). Which is the closest to f? (a) -2\/9 (b) -2\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-21)*(-30)\/(-4). Suppose -5*x - t*a + 2 = -23, -3*a = 5*x - 31. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -282 (b) 3 (c) -0.4 (d) -24 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7243 + -239000\/33. What is the common denominator of -59\/69 and k?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540765 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**18\/(c\/(c*c**(2\/23))*c))**(-28))**(-33) assuming c is positive.\nAnswer: c**(363132\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.8 - -13. Let p = -11 + 8.1. Let g = -3 - p. What is the closest to g in j, 2\/9, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.045, 2\/49, 0.1, -1\/9, -4?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 4553260484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -38)*-1*(1 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36675 is divided by 32636?\nAnswer: 4039","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/1399501 or 49?\nAnswer: 56\/1399501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 0. Let c be (-18018)\/495 + 296\/8. Sort o, c, -2\/3.\nAnswer: o, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 139\/10. Which is the biggest value? (a) 5 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11. Suppose u = -a + 5*b + 7, -5*b - 1 + 4 = 4*a. Suppose 2*x = a*d - 36, -10 - 17 = -d + 4*x. What is d rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/37 in 0.1, 1.4, 1, 5, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 242, 474, 762, 1106, 1506, 1962?\n\"Answer: 28*n**2 + 148*n + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1245.9 + 1246. What is the second smallest value in -0.2, h, 1\/2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 468?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m**4\/2 + 5277*m**3 - 20222*m**2 + 17772*m + 3232 = 0 for m.\nAnswer: -2\/13, 2, 808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465569 is divided by 69?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 24b6a (base 12) to base 3\nAnswer: 2112122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1375)\/2310 + 2\/21\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15064\/(-8))\/(-1 - 0). Suppose 21*b = 14*b + y. What are the prime factors of b?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*g**2 - 24*g**2 + 8 + 45*g**2 in the form q*g**2 + d*g + c and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*g = -188, -40 = -2*u + g + 33. Suppose 25 = 5*a, 3*c + 2*a - u = -3*a. Suppose -c = -4*v - 0*v. What is the least common multiple of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2271.789 hours in seconds?\nAnswer: 8178440.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvn when three letters picked without replacement from {n: 15, v: 3}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0 (c) -10 (d) 0.2 (e) -1 (f) 2\/37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -41. Calculate the least common multiple of 6 and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 594*n*w - 2*n - 3*w**4 + 888 wrt w?\nAnswer: 594*n - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-595)\/((-237405)\/(-532))*(-114)\/4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 11:45 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from hgaogogaag.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -39.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 0.3, 2, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51698629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 371*d. Let m = 0 + 1. Let x be i(m). What is the units digit of (-3)\/(-4) - x\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 19. Suppose z - 5*v + 2 = 64, o = -4*z - 5*v + 173. What is the remainder when z is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -9 (c) -2 (d) -1\/8 (e) -1528\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20652 divided by -6?\nAnswer: 3442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + -2 + 1435\/(-6). Let t = -235 - j. Suppose -7*x + x - 12 = 0. What is the biggest value in t, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 55, 166, 341, 592?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4720)\/(-128) - 2\/(-16). Suppose 11*n - 876 = m. Is n a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6*k - 4. Let z(a) = -a**3 - 5*a**2 + 4*a + 2. Let g be z(-5). Let w be 20\/(-90) + 50\/g. Calculate h(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/576*12*2\/2\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 12*j**2 - 447*j - 2702. What is o(-6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24d9b8d5 + -2?\nAnswer: 24d9b8d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8123169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 13*o**2 - 47*o + 18. What is the remainder when p(-8) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18+-644685314\nAnswer: -644685296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 + 5. Suppose 252*i = 243*i + 63. What is the smallest common multiple of f(6) and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62008.\nAnswer: 2, 23, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*t**3 + 20*t**3 - t**3)*((-2 + 0 + 3)*(-3 + 3 + t) + (-4 + 2 + 4)*(-3*t - 2*t + 4*t)) to k + l*t**2 + f*t**4 + w*t**3 + z*t and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/((-3)\/18). What is the third derivative of -6*i**2 - 18*i**5 + 16*i**5 + 2*i**y wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from shmmejmsehheseege. What is prob of sequence sjhe?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 10*j - 5*j + q, -2*q - 2 = -3*j. Suppose -5*z + 2*z + 13 = 2*h, j*z = -4*h + 24. Let n = 10 - h. Solve -2*o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 8*o**2 - 348*o - 1391. What is i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:47 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c = 2*c + 14263, -4 = -4*c. Suppose 11*t - 15*t = -f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(2 + sqrt(2299) + -3 + sqrt(2299) + sqrt(2299) + -4 + 0)**2.\nAnswer: -5940*sqrt(19) + 372888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.93 - 0.07. Which is bigger: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 - -218 - (22 - (0 + 2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let a(y) = -4464*y**2 - 9634988*y + 9634988*y. What is q(a(c))?\nAnswer: -19927296*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226\/4 - 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (95\/(-171))\/((-15)\/(-36))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625298 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b*n**3 + 4*b*n**2 + 35*b*n + n wrt n.\nAnswer: 60*b*n + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 61340840*u + 345330. Let f(a) = -6395*a - 36. Give 19185*f(d) + 2*h(d).\nAnswer: -6395*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 7830 = 7*o. What is the least common multiple of 30 and o?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9592649.\nAnswer: 11, 29, 30071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/77 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i. Let d(m) = 4064198*m. What is l(d(t))?\nAnswer: -16256792*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279)\/(-108) - (-4 + (-189)\/(-36)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 14*s - 45. Suppose 19*p + 8 = 21*p. Suppose 5*u = -3*n + 109 + 249, 0 = u - p*n - 90. Calculate the remainder when u is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59424921 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 327, 303, 153, -213, -885, -1953, -3507, -5637?\n\"Answer: -15*v**3 + 27*v**2 + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*q + 52, -4*i = q + 1 - 14. Suppose 6*h = h + 455. What is the greatest common divisor of q and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829092 is divided by 828998?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003258083 rounded to 7 decimal places?\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12200 and 390.\nAnswer: 475800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 31222028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789039 is divided by 20764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202111220220112 + -1?\nAnswer: 10202111220220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -947.1 (c) -51.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -57, 0.03, -0.06, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -235, -3055, -11057, -26833, -52975, -92075?\n\"Answer: -432*b**3 + b**2 + 201*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3\/4 (b) -0.1 (c) -2\/3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*43054\/1957*(-4)\/22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -829, -1660, -2491?\n\"Answer: -831*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*k - 295 = 45*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-6)*(11\/4)\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 6092 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -80*n + 81*n + 2 - 1 + 0. Let g(z) = -2*z - 3. Determine 3*g(q) + 8*t(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Calculate prob of sequence dxg when three letters picked without replacement from xxgd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-59 - -61) + -12 + 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7, 0 in descending order.\nAnswer: 7, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -57, -57, -61, -69, -81?\n\"Answer: -2*d**2 + 6*d - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 2 - (4 - 0 - (19 + -14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96 or 189\/2?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11440600 (base 7) to base 10.\nAnswer: 1018318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, p: 1, s: 1, w: 5}. Give prob of sequence iwiw.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -1\/300*f**6 + 1\/25*f**5 + 1\/1680*f**8 + 0*f**3 - 13*f**2 - 1\/15*f**4 + 0 + 0*f - 1\/350*f**7. Let t(r) = 0. Calculate r.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4851 or -34507?\nAnswer: -4851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 3*i**3 + i**2 - 23*i. What is the derivative of l(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 382232*v + 382233.\nAnswer: -(v - 1)*(v + 382233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(36\/(-54)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 88*i**2 - 11*i + 30. Let v be h(2). Calculate the greatest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p*p\/(p*p\/(p\/(((p*p**(4\/9))\/p*p)\/p)))*(p\/(p**(-3)*p))**28)**(2\/171) assuming p is positive.\nAnswer: p**(1540\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -475287 + 475292.00086. Let b = c + -5. Round b to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -4975939?\nAnswer: -12\/4975939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41179273\/36 - 1143798. Let w = j - 646\/9. Let v = 2713\/1716 - -1\/429. What is the common denominator of v and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2854070?\nAnswer: 2, 5, 23, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 15*n + 16. Let b be k(-14). Let w be (-120)\/((-12)\/(-2)) - (b + -4). Sort w, -4, 0 in descending order.\nAnswer: 0, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.65 + -1.05. What is the closest to -0.1 in -5, i, 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3564768?\nAnswer: 2, 3, 71, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869266 to the power of 1\/2, to the nearest integer?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2. Let j(h) = 5*h + 0 + h**2 + 0. Let o(a) = 3*a + 9*a**2 + 3*a - 15*a**2 + 7*a**2. Let g(v) = 6*j(v) - 5*o(v). Calculate g(b(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -915, -949, -979, -1005, -1027?\n\"Answer: 2*c**2 - 40*c - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 8637 = -6299. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12863958 + 18.29.\nAnswer: -12863939.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21*f - 38. Let v be 312\/(-273)*21\/12. Give m(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 - s + 5. Let l be w(6). Let r be (1\/l)\/(3\/(-9)). Solve h - 10 = -0*h + 2*b, -r*h = -4*b - 22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.7 + 73. Let v = -159 + 2701\/17. Which is the nearest to -1\/3? (a) 5 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:20 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7 = -4*v, -12*v + 2*h = -8*v - 10. Let u(j) = -6*j**2 - 8*j + 4. Let x(w) = -w**2 + 1. What is v*x(n) - u(n)?\nAnswer: 2*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 824*o**3*s**3*y + 7*o**2*s*y - 2*o*s**3*y + o*s**3 wrt o?\nAnswer: 4944*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 23 + 2*i**2 + 1.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 + 45*q = 0. Calculate q.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus -604.003?\nAnswer: 608.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4818383171370 - 0.03?\nAnswer: 4818383171369.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 26*i**2 - 3*i - 8. What is the tens digit of p(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 = -x, 0 = 3*z + 20 - 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/9 + 9370438*u\/9 - 3123479\/3.\nAnswer: -(u - 9370437)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + s + 3*s)*(13 + 3 + 24 + (8 + 4 + 2)*(0 + 2 + 0)) to the form p + l*s and give l.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/55, 4, 9, -890.\nAnswer: -890, -3\/55, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55, -238, -543, -970, -1519, -2190?\n\"Answer: -61*l**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*u + 18, -2*k + u - 4 = 9. Let h be (k\/(-5))\/((-9)\/(-180)). Let d = h - -65. Calculate the remainder when d is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4224 and 408.\nAnswer: 71808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from eeyeeeeeyedeiyed.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4, 12 = r + r - 5*b. Solve r*p = 5*p - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**3*p)*(p*p*p**(3\/10))\/p*p**(2\/7)\/(p*p**(3\/8)\/p))**(-16))**(-3\/11) assuming p is positive.\nAnswer: p**(-1326\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -34, -68, -100, -130?\n\"Answer: g**2 - 37*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, -2*z + 0*z = 3*p - 18. Suppose 8*n = 5*n + p. Let k be -9 - (-24 - -8) - 4. Solve f + k*f = -n*v - 10, -v = -f + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-410)\/(-2952)*(-192)\/1080?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + r + 19 - 15 = 0, 3*r - 8 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 + -0.13. Which is the closest to r? (a) 0.05 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -105 - 4036?\nAnswer: -4141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2\/9 (c) -0.1 (d) 4\/9 (e) 13\/31 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/3 of a hour in minutes?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -772 divided by 193\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 - 9*w. Let t be f(2). Suppose -4952 = -2*l - 4*k, -15*l = -t*l - 2*k - 2484. Round l to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 8. Let x(k) be the first derivative of 4*k + 5\/2*k**2 - 4. Give x(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 25520130?\nAnswer: 25520133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-217)\/2604)\/((-19)\/(-16) - 1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -1. Let j be 3 - ((y - 0) + 1). Solve q + 5 = j*q + w, 2*q + w = 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 z, and 1 x when four letters picked without replacement from zrxhrzmhmhrhrmhhnxzm?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.79 + -2.790266. Round g to five decimal places.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -0.2 in increasing order.\nAnswer: -5, -0.2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 694*25*(-640)\/(-16). Round o to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*o**5 + 739*o**4 - 168337*o**2?\nAnswer: 960*o**2 + 17736*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -378 - -757\/2. Factor 1\/4 + 1\/4*d**2 - o*d.\nAnswer: (d - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than -98.3596?\nAnswer: -92.3596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Suppose 2*f + 3 = 7. Suppose -52 = -0*c - 5*c - j, -f*j = -4. Solve -r + c = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -16.8, 2\/11, 2877, -8.\nAnswer: -16.8, -8, -5, 2\/11, 2877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + -65. Suppose -4*a = 4*f - x, 0 = -5*a - 4*f + 5*f + 145. What is the lowest common multiple of a and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(228) - sqrt(228) - sqrt(228) - sqrt(228)) + sqrt(228))*-3)\/sqrt(12).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + -19. Solve -2*k = -5*k - d - v, 0 = -5*d - 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*p - 203*p + 347*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/((-40)\/8)*3\/(-42).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1098*f**3 - 3375*f**3 + 1009*f**3 + 1265*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 19*j**2 - 4 - 8 + 10*j**2.\nAnswer: -j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 13272171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30360 + -151799\/5. Put 2\/5, c, -2\/15 in increasing order.\nAnswer: -2\/15, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.09087 from 70.\nAnswer: 70.09087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2318119*b*q**3 + 4*b*q**2 - b*q + 4*b + 103781*q - 17 wrt q?\nAnswer: -13908714*b*q + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6358 and -49\/4335.\nAnswer: 95370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 82 = -5*h - 218, -108 = -2*j - 4*h. Calculate the remainder when j is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155.4 + -17129700?\nAnswer: -17129544.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019386339774 rounded to 7 dps?\nAnswer: -0.0001939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i. Let y be v(1). Find s, given that 48*s + 15 + 6*s**3 + 54*s**2 + 3*s**y + 37*s**3 - 19*s**3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(189)\/sqrt(3)*-5 + sqrt(252)\/sqrt(4) + -4 - (-5 + 2 + sqrt(9072))).\nAnswer: -48*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 52, -3, -5, 0.3, 0.1, 2\/5, -57?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**5\/20 + 71*l**2\/2 - 6*l. Is h(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 less than 1251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 558627 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 1. Let a(y) = 4 + y**3 + 5*y**3 - 4*y**3. Let u(b) = -b + 9. Let r be u(8). Calculate r*a(l) + 4*c(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -v**5\/110 + v**4\/2 - 92*v**3\/33 + 60*v**2\/11 + v + 46. Suppose j(n) = 0. Calculate n.\nAnswer: 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(195\/(-20))\/13. Solve -5*k + 17 = -3*c + 15, -6 = -3*k + u*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/(-96) + (-6)\/(-9) and ((-7403)\/(-110) + -46)\/(12\/(-5))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 7*p + 96, -289*p = -3*h - 284*p + 133 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4105271 is divided by 61?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 8*l - 6. Determine d(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -42*w + 45\/2*w**2 - 45\/4*w**4 + 3\/5*w**5 + 13*w**3 + 159. Solve d(q) = 0.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/2, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 8*f + 23. What is the remainder when q(12) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*t - 13*t + 41*t**2 - 18*t**2 to the form h*t**2 + v*t + r and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6400 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 3*y**2 + 9*y + 11. Let h be m(5). What is the greatest common factor of h and 360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 0.0211\nAnswer: -0.001477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1007, -1872, -2579, -3128, -3519, -3752?\n\"Answer: 79*m**2 - 1102*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.35 + -6.1.\nAnswer: -36.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 149557 by -87.\nAnswer: -149557\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -7*c - 60. Solve f + 3*f = -c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -2*k. Let b(f) = f**3 - 9*f**2 + 5. Let a be b(9). Suppose 6 = -s - 4*j, 5*s + a*j = -k*s. What is the remainder when 4 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2 + 31*f - 268. Let q(l) = -2*l**2 + 16*l - 150. Calculate 6*k(s) - 11*q(s).\nAnswer: -2*s**2 + 10*s + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from ezzzzaape.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - -34) - (154 - 133).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 37. Let h = 0 + 0. Suppose h = d + 5*g - 28, 0 = -d + 3*g + u + 36. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = y + l + 17, 3*l + 1 = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23923669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 5*g + 33, g + 8 - 9 = -2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and (4 + -40)\/(-2) - (3 + 3).\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q**2. Let z(l) = -223*l**2 + 221*l**2 - 3*l + 3*l. Give c(z(y)).\nAnswer: -80*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-36*(85\/15)\/17. Sort z, -1, 1, 3 in ascending order.\nAnswer: z, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 14*q + 10. Is x(-7) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97287?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 7*j - 2*j + 5*j + 163 + 5*j.\nAnswer: j + 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21076 - 8.88924. What is the third smallest value in 4, o, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**4 + y**2 - y. Let c(o) = 3*o**4 - 56*o**3 - 111*o**2 - 69*o - 14. Let d(i) = c(i) + 3*x(i). Determine f, given that d(f) = 0.\nAnswer: -7, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43610.2051 rounded to zero decimal places?\nAnswer: -43610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2689881 - -2638773025\/981. Let y = -2\/109 - c. Let u = 3 - 2. Which is greater: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(4\/5)*x*x)*x**(-9\/2) assuming x is positive.\nAnswer: x**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 618384?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 2413951 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 16*l**4 + 137*l**3\/6 + 16*l. Find the second derivative of b(o) wrt o.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = -0. Let y be (-1 - 2)*1\/g. What is the tens digit of 19\/(y + 2)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31629926\/35 + 902620. Let i = -1092 - q. What is the smallest value in -1\/6, i, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.75 + 3.25. Sort c, -2\/45, 0.2.\nAnswer: -2\/45, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 159457672 to the nearest integer?\nAnswer: 12628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1467 + -1464. Solve 0 = 13*t - n*t + 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 14*q + 162 = 10*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 87*h - 189. Let q(w) = w**2 - 87*w - 187. Let y(f) = -4*q(f) + 3*v(f). Is y(39) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 7. Let k(y) = -y + 1. Let x(o) = 5*k(o) - v(o). Let q be x(-2). Suppose -4*j - 12 + 56 = q. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0039 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21947071 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 15. Solve 4*i = 20 - g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 15*u**2 + 4*u - 59. Let c be h(15). Let o(r) = -r - 1. Let i be o(-1). Sort c, 5, i.\nAnswer: i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 175979136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 19 = -4*h + 67, -s = 5*h - 40. Suppose u + 3 = h. Solve 3 = j - x + 2, 0 = 5*j + 4*x + u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/9 + 44*h**3 - 130*h**2.\nAnswer: -2*h**2*(h - 195)*(h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 + r**2 + 2*r**2 + (-2 + 2 + 22)*(11*r**2 - 7*r**2 + 12*r**2).\nAnswer: 350*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6967191 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 3*m**3 + 215*m**2 + 217*m**2.\nAnswer: -3*m**3 + 440*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17544255841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 10*o + 2. Let r be b(-3). Put r, 2, -6, 5 in decreasing order.\nAnswer: 5, 2, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/248 and 107\/24?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -2*i, -3*n + 26 = 5*i - 1. Suppose 4*z + n*x = 5*z + 9, z - 2*x + 11 = 0. Let f(v) = -8*v - 6. List the prime factors of f(z).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j - 2*j)*(-3 + 2 + 0) - 3*j + 5*j - 4*j + 2*j - 3*j + 2*j - 2*j - 4*j + 4*j - 2*j + j - j + (1 - 4 + 5)*(2 - j - 2).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4)\/(-4)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ji when two letters picked without replacement from {e: 4, p: 4, i: 10, j: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -69, -130, -193, -258, -325, -394?\n\"Answer: -f**2 - 58*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 + -5 + 2 + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 5*z + 8. Calculate the remainder when f(-7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-253 - 8)\/(3\/(-25))?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 take away 17190065?\nAnswer: -17190065.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 183463 - -60.16?\nAnswer: 183523.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -17*l**3 - 3*l**2 - 6*l - 9. Let i be k(-2). Let n = 121 - i. What is the closest to -1 in -4, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 4, h: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*7*(-9)\/(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*s + 451, -2*g + 902 = -0*g + 5*s. List the prime factors of g.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 4*a. Let o(x) = -5*x**2 - 15*x. Let z = 46 - 31. Calculate z*i(u) - 4*o(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.19 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7632, -7720, -7808?\n\"Answer: -88*w - 7544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23840 - 96326 = -24*r + 4802. What is the greatest common factor of 164 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62726, -62715, -62704, -62693, -62682?\nAnswer: -62671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a + y = -y + 185, a + 3*y - 180 = 0. Let r be 5 - (4 + -3) - -74. Calculate the greatest common factor of r and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.854944 + -3883\nAnswer: -3882.145056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 + 2*t. Let a(r) = -11*r**2 - 6*r + 1. Let q(g) = 4*a(g) + 14*n(g). Let j be 0*2\/4 + 4. Calculate q(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*-1*sqrt(99)*-6)**2.\nAnswer: 513216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*w - 2648, -16*i + 11*i + 4416 = 4*w. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/36*24*(-9)\/(-198)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -8. Let t = -0.0610392 + -7.9395708. Let u = s + t. Round u to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 0 + 10. Let w be (2 + -1)*(0 + 0). Suppose w*d - 3*d = 0. Put -5, l, d in increasing order.\nAnswer: -5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57253\/7902 - 63\/439. Let l = 10651\/4 + -2650. Find the common denominator of l and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 118.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -100585 divided by 2\nAnswer: -100585\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 + 349\/6. Suppose 3129 = -3*z - n + 3136, -3*z + 8 = 2*n. Factor -j*x**3 - 35\/6*x - 25\/6 - 11\/6*x**z.\nAnswer: -(x + 1)*(x + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 339, 345, 351, 357, 363?\n\"Answer: 6*s + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98 + (-54014)\/565)\/(-1 + 3\/25).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*p - 141*p + 132263 - 133963 = 0 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.575 - -2.425. Sort 6\/7, 24, a in ascending order.\nAnswer: 6\/7, a, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.8, -8, -4.1 in increasing order.\nAnswer: -8, -4.1, -0.8, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6126 + 2.6126. Which is the biggest value? (a) 5\/4 (b) 0.2 (c) u (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l - 8 + 9*l - 18 + 2*l**2 + 34 - 4*l. Let v(r) = -5*r**2 + 11*r - 23. Determine 8*s(w) + 3*v(w).\nAnswer: w**2 + w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/42)\/(((-1166)\/(-462))\/53)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from hczzchhhzhbhc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**2 - 311*i - 548. Calculate z(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.665 + -0.035. Let x = n - -44. Let y = 0.5 + -1. What is the closest to x in 4, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**2\/7 - 719241344*f\/7 + 32331756932432896\/7 = 0.\nAnswer: 89905168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -9517?\nAnswer: -9\/9517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 353993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/3465 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 309577180\nAnswer: -309577179.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1200102010012 - -10000?\nAnswer: 1200102020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**4 - 2211*p**3 - 2*p**2 - 34*p + 61 wrt p?\nAnswer: -60*p**2 - 13266*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*q - 1565, 0 = 4*y - 0*y + 2*q - 1250. Let j = y - 11. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 0 (c) -1\/5 (d) 2\/13 (e) -2 (f) -0.244\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -64*l**3 + 10*l**2 - 20*l - 248. Let p(f) = -21*f**3 + 3*f**2 - 6*f - 82. Calculate 10*p(s) - 3*u(s).\nAnswer: -18*s**3 - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*b = 18, 0*b - 3*b = -4*z + 23. Suppose z*s + 4 = -w, 2*s + 0*s = 2*w - 10. Which is bigger: w or 6\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0)**(-41))**13 assuming p is positive.\nAnswer: p**(-533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 6335\/1641?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08407 from -14.3.\nAnswer: -14.38407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npwh when four letters picked without replacement from hpwwwhrnw.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((784\/40)\/49)\/((49\/5)\/(-1)). Let n = 219305\/49 + -4476. Let y = n + j. Sort 4, 2\/27, y in decreasing order.\nAnswer: 4, 2\/27, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - 171\/(-36). Let y(x) be the third derivative of -1\/180*x**a + 0 - 2\/9*x**3 - 1\/18*x**4 + 0*x + x**2. Determine w, given that y(w) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -2\/7, -0.08, 148?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 41733 + 98292. Suppose -g = -3*b + 6195. What is b rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 9*g - 39. Calculate the remainder when (1 + 63\/(-2))*-2 is divided by n(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9073 by -115.\nAnswer: -9073\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88484.71mg in micrograms?\nAnswer: 88484710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.2 (c) 1\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 739477020 to the power of 1\/4, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**3*y**3 - 14*d**3*y**2 - 34*d*g**2*y**3 - g**2*y**3 - 5*g**2*y**2 - 2*y**2 wrt y?\nAnswer: 18*d**3 - 204*d*g**2 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 808017 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (1 - (-26)\/22). Let s = -3 - -8. Let d = -3 - -3.1. Sort z, d, s.\nAnswer: d, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10686.6 and -931.\nAnswer: -11617.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 248, 239, 230, 221?\n\"Answer: -9*j + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -479 - -682. Is a a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 42*y + 230. What is u(7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + h - 12999. Let y(u) = 29*u. What is y(f(i))?\nAnswer: 29*i**2 + 29*i - 376971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.317 + -71.917. Let z = -75 - a. Let r = z - -7.4. What is the third biggest value in -20, r, 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.2 times 4.5\nAnswer: -45.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of b**4\/12 + 5*b**3\/6 - 3*b**2 + 5*b. Suppose 3*d + 37 - 12 = a, 5*d = -3*a - 23. Give l(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001279 to 7 dps.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 189 = -5*d - 5*a, d - 2*a = -55. Let b = d - -52. Solve -2*v - 10 = -b*s, -2*s + 17 = v + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + o - 1 = -10*d, 5*d = 2*o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36150, 72609, 109068?\n\"Answer: 36459*c - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 0*k + 0*k)*(991*k - 1 - 764*k + 0 + (5*k - k - 2*k)*(0 + 1 - 2) + k + 2*k - 4*k).\nAnswer: 448*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**5 + 224*x - 1134*x**3 + 570*x**3 + 701*x**3 wrt x.\nAnswer: -20*x**3 + 822*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1522 = -6*s - 496. What is the greatest common divisor of s and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4819 - -77155\/16. Calculate the common denominator of -31\/24 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k - 5. Let o = -158 - -161. What is c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3065 + -3065.5. Which is the fourth smallest value? (a) 1\/3 (b) p (c) 6 (d) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1606237 + -941718. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40164014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.15359913 and 70.\nAnswer: 70.15359913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8628679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785047 + 2*p**3 - 785047.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*k + 10. Suppose 0 = 3*w - 5*w + k. Let a(x) = x**3 + 13*x**2 + 10*x - 5. Calculate the remainder when a(-12) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3*(-8)\/((-48)\/(-18)). Let p(d) = d**2 + 2*d - 6. Let v be p(-4). Find the first derivative of 704*q**k - 1 - v - 744*q**2 + 0 wrt q.\nAnswer: -80*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 1 - -10) + -10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 10*i - 6*i - 27, 5*k - 89 = 3*i. Solve 0 = -4*l + 3*t + 11, -22 = -k*l + 21*l + 4*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1163 or -1165?\nAnswer: -1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 113, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7463\/88 - 1058\/11. Let w be (-1246199)\/84 + -1 + (-8)\/(-28). Let l = -14824 - w. Find the common denominator of l and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**7\/210 - o**5\/15 - 343*o**4\/24 - 4867*o**3\/6 - 193*o**2 + 1. Differentiate t(b) wrt b.\nAnswer: -4*b**3 - 8*b - 343","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {z: 10, i: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = o + 16 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48352 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(4\/14*7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9320, -9296, -9282, -9284, -9308?\n\"Answer: -v**3 + v**2 + 28*v - 9348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 403*v - 102*v - 2*v + 1.\nAnswer: -507*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74033925 is divided by 596?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsqyyhd. Give prob of sequence sdhd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s. Suppose -5*x = -5*p - 25, 3*x + 25 = x - 5*p. Let f(l) = x*l - 3*l**2 - 5*l + 5*l. Give f(k(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34135 is divided by 1515.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 63. Let y = v + 1. Let o = 6.7 - 0.7. Put y, o, 2\/15 in descending order.\nAnswer: o, y, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2024 = -2*f - 5*b, -f + 1015 = 5*b. Calculate the greatest common divisor of 30 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 10*q - 19. Let r be f(4). Sort -5, r, -7, 0.\nAnswer: -7, -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -320*b + 41. Let o be t(-3). Let r = o - 590. List the prime factors of r.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 3. Let f(b) = -b**2 + b. Give f(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4 + 1. Let i be (-5)\/((-15)\/6) - -14. Suppose -i = -0*a - 4*a, 4*p - 16 = -a. Sort p, d, -5 in decreasing order.\nAnswer: p, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152175854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4784?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**2\/5 + 1088*x\/5 - 2172\/5 = 0.\nAnswer: 2, 1086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -f, f = -h + 3 + 1. Let q(w) = -w**2 + 5*w. Let a be q(f). Let m = -1 - -4. Put m, a, 5 in increasing order.\nAnswer: a, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1686985, -3374040, -5061093, -6748144, -8435193, -10122240?\n\"Answer: q**2 - 1687058*q + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i. Suppose i*q + 15 = 3*q. Calculate the highest common divisor of 10 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1134*k - 1133*k - 2*y + 3, -4*y - 4 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from ffqffffffqf?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 8, 4*t - 12*n = -15*n + 170. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (31 - (3 + 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -4331315321?\nAnswer: 4331315315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(3*t - 236 - 26 + 27).\nAnswer: 6*t - 470","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*h + 22, 3*s + 13 + 24 = 5*h. Suppose -5*v = -3*a - v + 28, -3*a - v = -h. Solve -7 = 3*m + m + 3*k, -2*m - a*k - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d + 0*d)*(-1 - 3 + 2) - 6*d + 5*d + 4*d + (3*d - 2*d - 2*d)*(-4 + 3 - 1).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60\/24 - (-3)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/99484 and -173\/4284?\nAnswer: 895356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132305\/83 + -1594. Let m = s + -193\/747. Which is the second biggest value? (a) -4 (b) 0.3 (c) m (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 393361477 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566508635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2195782?\nAnswer: 2, 1097891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49808 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59a27063 - 0?\nAnswer: -59a27063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r*r)**(-35)*(r**1\/r)**(-38)*r**(1\/7)\/(r*r*(r**6\/r)\/r)*(r*(r\/(r\/(r*r\/((r*r\/r**4)\/r))))\/r)\/(r*r**(-1)\/r) assuming r is positive.\nAnswer: r**(-1957\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**3 + 9*q**2. Let m(p) = p**3. Let v(z) = -5*m(z) + y(z). What is the third derivative of v(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 18*d**2 + 91*d**2 - 24*d**2 + d**2 - 14*d**2 to l + i*d**2 + v*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:02 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2617, -5233, -7827, -10399, -12949, -15477?\n\"Answer: 11*s**2 - 2649*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*o + 50*o + 98*o - 5*o + 42*o as c + w*o and give w.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18021 + 170?\nAnswer: 18201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 + 36*u**4 + 142*u**3 + 148*u**2 - 120*u - 208.\nAnswer: 2*(u - 1)*(u + 2)**3*(u + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from gbybpuuububyubbbtbtu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 350 + -352. Let o(w) = -72*w**3 + 2*w**2 + 3*w - 5. Let n be o(1). Put n, -5, p in descending order.\nAnswer: p, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 4. Let d be w(-2). Suppose d = -7*i - 11*i - 36. Round i to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rimm when four letters picked without replacement from mmrimwewwwmvm?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 22 = 3*i - l, -i = 2*l + 2. Suppose -4*a + 97 = -8*a - t, 50 = -2*a - 2*t. What are the prime factors of 2\/i - a\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -1\/2*g**2 - 1 + 5*g. What is h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-7*6\/(-84)*522\/18?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 - 26 = -4*f. Differentiate 14*l - 72 + f + 43 wrt l.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 60 = -48*w + 78*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, v: 3, j: 4}. What is prob of sequence eeve?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -373140.17 (b) -3\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/5 + 47\/5. What is the common denominator of (-4)\/(-6) + (-1035)\/(-27) and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, u: 3, q: 3, v: 3, r: 1, n: 6}. What is prob of picking 1 n, 2 v, and 1 o?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5450287 divided by 11.\nAnswer: 5450287\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 3*h**4 - h**4 + (7 + 4 - 4)*(4*h**4 + 10*h - 10*h) + 4*h**4 + 3 - 3 as w*h**4 + l + x*h**3 + i*h + p*h**2 and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1360, 2417, 3466, 4507, 5540, 6565, 7582?\n\"Answer: -4*b**2 + 1069*b + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 7*a = 21. Suppose -a = g - 6. Suppose 5*z + 0*z = g*z. Solve 0 = -2*f - z*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01375 + -4\nAnswer: -4.01375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178156\/132 + (-4)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61620\/79)\/52*14\/(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 189 and 183 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3812.5, -3, -8\/3 in increasing order.\nAnswer: -3812.5, -3, -8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4838990 + -3?\nAnswer: 4838988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 + 910*h = 0. Calculate h.\nAnswer: 0, 910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 15 + 17. Let p(u) = 3*u**2 + 4*u - u + u - 5. Suppose -2*g + 0*g = 10. Let f(y) = 5*y**2 + 6*y - 8. Determine g*f(d) + j*p(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5787, -2, 0.3, -2\/15, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-5)*2*10. Let u(l) = -l + 1. Suppose s - 5 = -0*s. Let x be u(s). Sort -5, d, x.\nAnswer: -5, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26973\/8 + 3372. Let c(p) = p**3 - 4*p**2 - p - 1. Let g be c(4). Sort g, 5, 0.1, a in increasing order.\nAnswer: g, 0.1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22759 by -22759.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/4*(13 - 441).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11805 divided by 785\nAnswer: -2361\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -145*b**4\/8 - 31*b**3\/6 - 142*b**2 + 2. Is h(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -279*t**3 - t**2 - t - 1. List the prime factors of p(-1).\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.4. Let i = 387 - 386.7. Which is the second smallest value? (a) 3\/4 (b) 2 (c) s (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17512354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -546 + 530. Let p(z) = -85*z + 14. What is the tens digit of p(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 6*d + 6. Let p be h(4). Let b be 6 - (0 - p)*-1. Let o = 422 + -420. What is the greatest common factor of o and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i + 40. Suppose 59*x = 90*x - 248. What is g(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1104 and -33\/142?\nAnswer: 78384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1052, 1077, 1088, 1079, 1044, 977, 872?\n\"Answer: -c**3 - c**2 + 35*c + 1019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 5*l + 1872, -4*v = -3*l - 1144. Let n = l + 676. What is the hundreds digit of (0 + 1)*2\/4*n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.15 + 0.15. Let h be ((-1)\/3)\/(5\/3). Is h at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 185006, 370009, 555014, 740021, 925030?\n\"Answer: z**2 + 185000*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, u: 6, o: 6, f: 5}. Give prob of sequence fffo.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 + -175. What are the prime factors of (-1)\/((x\/6)\/4900)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.046 - 27.954. Let f = -27 - i. Which is the second smallest value? (a) f (b) 3 (c) -3\/8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -480*u**4*y - u**4 + 21084*y wrt u.\nAnswer: -1920*u**3*y - 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17573 or 15663?\nAnswer: 17573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -111 (b) -14 (c) 2\/5 (d) 17 (e) 2\/3 (f) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 707.077*-4.\nAnswer: -2828.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*t + 2 + 3*t)*(-123*t**2 - 163*t**2 - 64*t**2).\nAnswer: -350*t**3 + 1050*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - -15. Suppose p = -19*c + 22*c. Solve -c = 2*z - 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47513 a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87 - -61. Let a = 38 + w. Let v be ((-12)\/(-48))\/((-1 - -4)\/a). Which is smaller: 3\/16 or v?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 - 20*u**2 + 23*u + 42 = 0. Calculate u.\nAnswer: -21, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -329.21 - -328. Let d = 0.82615 + 0.38466. Let o = d + g. Round o to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -14. Let j(i) = -16 + 3*i + 13 + 5*i + i. Does 8 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8379329 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -11. Suppose -4*w = -x - l, 0 = -x - x + w + 7. Let d be (5\/55)\/(3\/x). Put d, 3, -0.5 in ascending order.\nAnswer: -0.5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, g: 5, t: 3, c: 6, b: 4}. What is prob of sequence yc?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28443 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 20, 2*v - 15 = -s + 2*s. Let o = 7 + -5. Suppose 0 = -p + o*n - 6*n + 20, n + 5 = p. What is the remainder when p is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m - 45. Suppose -5*i + 0*g - 2*g = -210, -i + 42 = -5*g. What is the remainder when i is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 152?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 2*q + 2312 = 0. Calculate the greatest common divisor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-3 - (-1 - 3)). Let j = -0.7 - 7.3. Which is the nearest to v? (a) 2\/3 (b) j (c) 1\/6 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 9*p**2 + 9*p + 5. Let a be i(-7). Let m be 3*(a\/(-28))\/((-3)\/7). Solve -2*z + 0*z - 25 = -3*j, -3*z = j + m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - o**2 + 12*o - 12*o - 5 + 5 + 3*o**2 + (-12*o**2 - 9*o**2 + 34*o**2)*(-2 + 5 + 0) to the form j + i*o**2 + f*o and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 71503589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - 9*x - 11. What are the prime factors of z(-6)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -1133*t**4\/4 + 439*t - 242. What is the first derivative of z(b) wrt b?\nAnswer: -3399*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 - -109. Let l be (2400\/(-9) - 0)*-3. Suppose -v*k + 1720 = -4*u + 4923, k + l = u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 8:07 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 7:17 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -443851, -443937, -444081, -444283, -444543, -444861?\nAnswer: -445237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*a + 11, -13 = -3*a + 3*s - 2*s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**4\/24 - x**3\/2 - 2*x**2 + 42. Suppose 0 = -2*q + 4*q + 2. Let n(a) = -1. What is q*h(t) + 2*n(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -24404*l**2. Let g(x) = 2452*x + 7. Let t(s) = 1051*s + 3. Let b(o) = -6*g(o) + 14*t(o). What is b(u(j))?\nAnswer: -48808*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 4)*(0 - 6 + 0)*(7*p**3 - 3*p**3 + p**3) in the form d*p**2 + h*p + i + y*p**3 and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 11*a**2 + 34*a - 104.\nAnswer: -(a - 13)*(a - 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q. Let d(h) = 2. Let j(v) = -v - 14. Let t be -11 - -10 - (2 - 1). Let w(u) = t*j(u) - 14*d(u). Calculate c(w(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 147, 94, 61, 96, 247?\n\"Answer: 8*k**3 - 38*k**2 + 5*k + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -296215648\/99 + 2992162. Let j be ((-12)\/2)\/2 + 7461\/81. Let v = o - j. What is the common denominator of 10 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/9 - 6)*6\/(-115)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -2. Let q = -25 - -53. Solve -j + q = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-616)\/24 - (-72 + 47) - (-112)\/(-30)?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 + -444246300096.\nAnswer: -444246300129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.55356 litres?\nAnswer: 22553.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 8*v**3\/3 + 3*v**2\/2 + 3*v + 8. Let g(u) = u**2 + u + 1. Suppose 2 = 3*n - 2*z + z, -3*n + 4 = z. Determine n*c(m) - 3*g(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103\/22605 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 66*p**2 - 412*p - 63. Determine l(59).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -239292, -239317, -239340, -239361, -239380?\n\"Answer: s**2 - 28*s - 239265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9092387?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27497904 is divided by 239.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17775 divided by -5?\nAnswer: -3555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k + 15*k + 10*k + 36 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t - 3. Let h be y(-11). Let o = 61 + h. Let n be 3 - 10\/o*-4. Which is the second biggest value? (a) 1\/5 (b) -1\/3 (c) -0.3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {l: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 6*o. Suppose 0 = -o*y - 3*y + 21. Suppose 3*j + 0*j = 0. Solve 4*k - 27 + y = j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -105. Let s be 3 + 1*8\/4. Suppose s*x - 2 = 28. Calculate the least common multiple of n and x.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 9*h + 8. Let r be m(8). Let k(c) = -3*c**2 + r*c**3 + c**2 - 3*c - 12 - 6*c**2 - c**3. What are the prime factors of k(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182.9 - -183.9. Which is the nearest to j? (a) 1 (b) 0 (c) 2\/5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33\/7 in 0.11, 0.4, -3, -2\/2501, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2579, -10289, -23103, -41015, -64019, -92109, -125279, -163523?\n\"Answer: f**3 - 2558*f**2 - 43*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.58 + -8.84. Let z = o - -2.66. Round z to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - (8 + (-3 - 3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*n + 2*n = 172 - 188, i - n = n for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.2 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l + 1)*(-5 + 2 + 2 + (-2 - 1 + 4)*(3 - 3 + 2))*(2821 - 2821 + 106*l**4).\nAnswer: -212*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4483, 4891, 5299, 5707?\nAnswer: 6115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -121*l**6\/120 - l**5\/60 + l**4\/24 + l**3\/6 + 5*l**2. What is the remainder when f(-1) is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from xxxcccxcxx?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -7*r**6\/720 + r**5\/120 - r**4\/6 - 4*r. Let u(q) be the third derivative of w(q). Determine u(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3239817905.\nAnswer: 5, 31, 101, 206951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120400 (base 9) in base 16?\nAnswer: -11b2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 248*j**3\/3 - 101*j - 224. What is the derivative of r(q) wrt q?\nAnswer: 496*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3044\/11 or 1\/4?\nAnswer: 3044\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -88. Let m = -311 - -311.1. Which is the smallest value? (a) -2\/7 (b) 2\/3 (c) f (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**3 + 2*l**2 - 2*l + 1. Suppose 0 = -i - 4*i + 5. Let z be w(i). Let h be z + (-18)\/(-8) + 0. Do h and 3\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 63.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -86 in increasing order.\nAnswer: -86, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3564678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433 by -24647.\nAnswer: -433\/24647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/(-108) + 3)\/((-2)\/(-3)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 10. Let l = 2 - 2.3. Let t = -2 - -1.5. What is the closest to -1\/4 in l, p, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811 (base 11) in base 2?\nAnswer: 100100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*o**3 - 158*o**3 + 95*o**3.\nAnswer: 17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -q - 6. Let t be ((-3)\/q)\/(1\/39). Let y be ((-12)\/(-14))\/(t\/182). Is -11 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 7. Let h be z(6). Let j = 10 - h. Suppose g - 2 + 3 = w, 0 = -w - g + 3. Solve n = -2*f + w, n = 5*n - 5*f + j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10 + 78*o**2 - 5*o - 62*o**2 - 5. Let t(p) = -304*p**2 + 96*p - 96. What is -96*m(s) - 5*t(s)?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxoxxzoozoxoooo. Give prob of picking 1 x and 3 o.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 - 20*a**3 + 62 - 33*a**3 - 7 - 2*a**2 wrt a?\nAnswer: -159*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5826*y - 542 + 1077 - 535 to the form q*y + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -455*r**5 - 54*r**4 - r**2 + 1660255*r wrt r?\nAnswer: -9100*r**3 - 648*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 9:16 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2730 and 56940.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - -390. Find the common denominator of 12 and m\/81*-7*(-24)\/112.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-1)\/(-3) + 0). Let d = 2 - i. What is the units digit of 0 + -1 + d - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 65394\nAnswer: 1\/10899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, r: 4, f: 5}. Give prob of sequence rfqf.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00654167099 rounded to four dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 1\/14, -0.18, 1\/8, -5, -1\/6?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 84*f - 20. Let x(s) = 13*s - 3. Let r(g) = 5*m(g) - 32*x(g). Let d be r(3). Solve q = -a - 2, 4*q - q - d = 4*a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(((-1)\/(-26))\/((432\/(-128))\/27))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h - 8, 3*k + 4*h - 11 = 0. Let s be (-53)\/2*(-1 - k). Let b = s - 4. What is the greatest common factor of 7 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1219 by 53.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -2\/13, -0.07, -0.16, -2\/27?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 12*l**2 + 33*l + 23. Calculate z(14).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:18 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4 + (-4 + 0 + 3)*(-4 + 1 + 1) + 2 + 2 - 6)*(1 + z - 1 + (-z + 2*z - 3*z)*(2 + 1 - 7)).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-66) - 466\/(-22). Suppose 8*v = 14364 - 13356. Calculate the greatest common factor of v and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 28 = 10*c. Suppose 3*d - 5 = w, c*d - 2*d = -4*w + 65. Solve 2*x - 5*u + w*u = 15, 4 = x - u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*p + p**3 - 2*p**3 + 26*p + 4*p**3 - 4*p**3 - 1 - 8*p**4 in the form s*p**2 + f*p**4 + t*p**3 + v*p + g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 692199.5km to nanometers.\nAnswer: 692199500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 3:20 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17\/473 in -2, 0.3, -24\/23?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1573))**2 - (sqrt(13) - (-3 + sqrt(13) + sqrt(39)\/sqrt(3) - sqrt(13)))**2.\nAnswer: -66*sqrt(13) + 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85 - (-14175)\/180)*(0 - 1\/(-5))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.73 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-21)\/v*v**(5\/13))\/(v**(-21))**27)**(-2\/35) assuming v is positive.\nAnswer: v**(-2836\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185441?\nAnswer: 185441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 149?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 12*t**3 - 4*t**2 - 19*t - 2. Let i be f(-3). Let q = i - -307. Solve -5*j = 5*a - 10, -a + q*a = 2*j + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4 - 0. Suppose -149 = -p*r + r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6654194, 26616765, 59887716, 106467047, 166354758, 239550849, 326055320?\n\"Answer: 6654190*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1766 in -0.7, -0.0028, -0.3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -13 - 9) + -9 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2332459 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 479*n**2 + 10*n. Let a(z) = -z**3 - 480*z**2 + 8*z. Determine -5*a(s) + 4*x(s).\nAnswer: s**3 + 484*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 26 = 2*f - s, f + s + 10 = 0. Let k(x) = -x**2 - 18*x - 15. Is k(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53086 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -8, 70?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23667, 47201, 70563, 93753?\nAnswer: 116771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.192 and -30?\nAnswer: 31.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -294 - -295. Let r = -4 + 3. Sort 4, r, n in descending order.\nAnswer: 4, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2567, 10082, 22603, 40124, 62639?\n\"Answer: -z**3 + 2509*z**2 - 5*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 470*y + 3028. Give v(-11).\nAnswer: -2142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 16. Let w(d) be the third derivative of 0 + d**2 - 1\/6*d**3 - 1\/12*d**r + 7\/60*d**5 + 0*d - 1\/30*d**6. Factor w(b).\nAnswer: -(b - 1)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 20 - (-98 - -106) - -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 1, a: 3, y: 1, i: 1}. What is prob of sequence qpi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 70*z**2 - 10*z + 700. Determine x(70).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.1 in 111, -3\/8, -2\/17, -0.1, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 722 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.14 * -6.331.\nAnswer: 19.87934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2562 + 2723 = -9*v - 2*n, -v - 2*n - 47 = 2*v for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t**3 + 6*t**2 + 6*t + 6. Suppose 3*l - 12 = 3*v + 9, -2*l = -4*v - 16. Let y(d) = -8*d**3 - 7*d**2 - 7*d - 7. Calculate l*y(z) + 7*w(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3108 + -3114. Let s = -0.3 - -0.2. Sort c, s, 1\/7, 3.\nAnswer: c, s, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*x + 82*x + 38*x - 23*x**2 + 51*x.\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -152.233 + 152. Let y = n - -0.333. Which is the smallest value? (a) y (b) -5 (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.554 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 9:32 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 m, and 1 f when four letters picked without replacement from {p: 2, l: 3, m: 3, f: 6, t: 2}.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**20*b*b*b*b)**(-18\/7)\/(b\/(b\/(b\/b**(1\/5)))*b)**(-44) assuming b is positive.\nAnswer: b**(612\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/6) - (-11)\/1. Find the common denominator of ((-63)\/r - 1) + 2 and 139\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60*-4193.\nAnswer: 251580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 646273 or 646270?\nAnswer: 646270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8608 + -1.3771176925\nAnswer: -8609.3771176925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3*m + 0*m)*(-3 + 1 + 1).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720188 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42367 + -16467. What is x rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -407655046*m**6 - 4*m**2 + 16135171*m wrt m?\nAnswer: -48918605520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.96 - -0.04. Let d = 11 - t. Let o = 3.6 - d. Which is the biggest value? (a) -3 (b) -2\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75456032 is divided by 18864006.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x - 1, 2*x = d + 3. What is the third biggest value in d, -0.3, -1\/6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -673960 to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 + 3*k**3 + 13*k**3 + (-4 + 3 + 3)*(0 + 2*k**3 + 0) + (-k**3 + 2*k - 2*k)*(-1 - 1 + 0).\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 511334.3 nanometers?\nAnswer: 0.0000005113343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)\/(sqrt(9) + sqrt(9)*-2) - sqrt(104)\/(sqrt(4)\/sqrt(2)))\/(5*sqrt(8)\/((sqrt(2) - (sqrt(18) - sqrt(2)))*-4)).\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262910?\nAnswer: 2, 5, 61, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-4)\/(((b*b*b**5*b)\/b*b)\/b)*(b**(-7)*b)\/b*b**(-4)*b assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2332871, 2332873, 2332875, 2332877, 2332879?\nAnswer: 2332881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -583*m + 2915. Determine l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 18*q**5 + 40*q**4 - 10*q**3 - 40*q**2 - 8*q = 0.\nAnswer: -2, -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p**2 - 547*p + 2683. What is c(5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 276*y**2 + 9090*y + 29700.\nAnswer: -2*(y - 30)*(y + 3)*(y + 165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (4 - 20\/42*9) + (-21758)\/(-154)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/3, 3, -0.3, -0.4, 0.2, 0.416?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t**5 + 3\/8*t**4 + 23*t**2 + 0 - 1\/120*t**6 + 0*t + 14\/3*t**3. Differentiate l(a) with respect to a.\nAnswer: -3*a**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l + 6. Let i(j) = -5*j - 5. Let s be 1*(-1 - (2 + -2)). Let f = s + 6. Suppose f*t - 4 = 16. Give t*i(k) + 3*q(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*h - 1070889*d + 1372664*h**4 wrt h?\nAnswer: -2*d + 5490656*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-102))\/((-5)\/3)*-1?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13716 + -13713. Sort 5, 7, p, 2, -4.\nAnswer: -4, 2, p, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4 + 4*g**3 + 14*g**2 + 8*g = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 z, and 1 o when three letters picked without replacement from olojzjvjvqojj?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1287128087 to the nearest integer?\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 124 = 64 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/10 - 11669*y\/10 + 17481.\nAnswer: (y - 11654)*(y - 15)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000269869 rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(1425\/(-76)))\/((280\/(-1410))\/7)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1022360 (base 9) to base 3\nAnswer: 1000202102000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 172 = 1032. Suppose 0 = -4*m - 3*z + 843, 0 = 2*m - 2*z - z - 417. Let i = u - m. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3357 - -3358. Let u be (-6)\/(-9)*3 + -3. Put v, -25, u in ascending order.\nAnswer: -25, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (0 - 5 - 0)) + (-14 - -17)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2740 + -2740.2999. Let s = -6.7 + 7. Let q = s + t. Round q to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -y - 1561. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27326\/3 + 9110. Which is the fifth smallest value? (a) -0.5 (b) 0.1 (c) -2\/9 (d) 12 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -206, -222, -276, -386, -570, -846, -1232?\n\"Answer: -3*d**3 - d**2 + 8*d - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.35 times -0.0479?\nAnswer: -0.974765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*p = -80, 14*s - 9*s + 2*p - 77 = 0. What is the greatest common factor of 70 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c + 4235 - 104 = 0. Calculate the least common multiple of 1782 and c.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4738334*s**4 - 108922481*s?\nAnswer: -56860008*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3243 - 1237 - 1616)*(-4*o - 3*o + 3*o).\nAnswer: -1560*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 199385743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + w + 42. Suppose -3*h + 14 = -3*b + 2, -h = 5*b + 2. Let p = b + 1. Is 14 a factor of d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283.97 - 285.2. What is the nearest to -0.3 in 5, -0.4, z, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 + 549 = -5*u. What is u rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - -30. Suppose v = 6*v - 2*x - 85, -x = 3*v - m. Let g = 206 - 87. What is the highest common divisor of v and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23113185*a**2 + 21708522*a?\nAnswer: -46226370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3596 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -17*k + 36. Let x(p) = -p**3 + 10*p**2 + p - 1. Calculate the remainder when x(k) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36990 divided by 3\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 4*a**2 - 10*a**2 - a + 9*a**2 to s*a + w*a**2 + o and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i**2 - 11*i + 252. Let o(m) = m**2 - m + 6. Determine j(f) - 11*o(f).\nAnswer: f**2 + 186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765945 is divided by 426.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -232 + 322 - (60 + 19).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4 = -2*o. Let f be (6\/4)\/((-3)\/(-8)). Solve 3*k - o*k = -2*x - 9, f*x - 17 = 5*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44340000 rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 884131*x + 204488?\nAnswer: 884131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*q - 4 + 42 = 0, 3*t = 2*q + 114. What is the remainder when t is divided by (-460)\/(-1127)*(3\/6 - 4)*-7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f**4 + f + 4*f**3 + 40 - 19*f**4 - 34 to p*f**3 + l*f**2 + s*f + c + m*f**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 2 + -6 - 0) + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 6 = -30. Which is smaller: c or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -v + 2*w, -3*w + 2 = 3*v - 16. Suppose -v = -3*m - 3. Put -4, m, 0 in ascending order.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2790 and 1131624.\nAnswer: 5658120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2 - 22*d + 20. Let h be k(1). Let x = 8 + -6. Suppose x*o - 16 = -2. Solve b - h = -o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*o - 8\/7*o**2 + 10\/7*o**3 - 2\/7*o**4.\nAnswer: -2*o**2*(o - 4)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -7. Let v(k) be the third derivative of 1\/8*k**4 + 0*k + 2\/105*k**7 - 1\/40*k**h + 1\/6*k**3 - 1\/12*k**5 - 2*k**2 + 0. Let v(i) = 0. Calculate i.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28 + -25 + (-85)\/35. Factor 2\/7*d**4 - 6\/7*d**2 + 0*d**3 - h*d + 0.\nAnswer: 2*d*(d - 2)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 - (-378)\/(-99). List the prime factors of (1 - (-156)\/n)\/(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17439.\nAnswer: 3, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z. Give v(-17).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -340321305 (base 6) to base 4\nAnswer: -113211332021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 7*i + 6. Let l be x(-6). Let k = -43 - l. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3888898991 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oftal. What is prob of picking 1 f and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 208361501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6274 divided by -2?\nAnswer: 3137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(6\/19)*(v**(-16)*v)\/(v*v*v**(-2\/31)) assuming v is positive.\nAnswer: v**(-10161\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 3874893.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2287506346 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 76, 127, 198, 295, 424, 591, 802?\n\"Answer: b**3 + b**2 + 27*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 162806688 a multiple of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351962*c**2*w**3 + 6*c**2*w**2 - 2192319*c*w**3 + 2*c*w wrt c.\nAnswer: -703924*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 + -50.1. Let j = -0.8 + 0.4. What is the closest to a in 2, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298064 = -19*r + 298615 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {c: 2, e: 3, q: 1, w: 5, p: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 110 = -2*s. Let z = s - 30. Solve -2*y + z = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/41454899 and 21\/8.\nAnswer: 331639192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 647419*s**2 + 3 + 1 + 634328*s**2 as y + r*s**2 + u*s and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3 + 375*w**2 - 770*w = 0.\nAnswer: -77, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.4378 rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26228, -26897, -27566, -28235, -28904, -29573?\n\"Answer: -669*v - 25559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f8 + 166f?\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/12*23\/(-25). Let h be (-28)\/75 - (-10)\/30. Let j = h + l. What is the biggest value in 0.2, j, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 100638.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103407 is divided by 109.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 4*o - 14*o + (-1 + 2*o + 1)*(-10 - 1 - 13))*(-2*o + 0*o + 0*o).\nAnswer: 126*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35596.\nAnswer: 2, 11, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3*d - 48, -4*d + 6 + 16 = f. Let y = -10 + f. Let t = -13 + 8. What is the closest to 0 in -3, y, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0 (c) -1464.75 (d) 1\/13 (e) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u**2 + 10*u + 6. Calculate r(-3).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z. Let x be k(-1). Solve 2 = q - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times 385?\nAnswer: 19635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -166. Which is the second biggest value? (a) w (b) -0.5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51, 5, 73, -0.2, 5\/2?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.57 in -1\/4, 1, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 7. Let h be q(5). Let f be 9\/(-12)*(h + -4). Which is the nearest to 1? (a) f (b) -1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-6))\/((-4)\/(-12)). Suppose 4*l + 4*f = 120, -l + n*f = -32 - 23. Let q = 78 - l. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 75518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0, -1, 1\/6, -5, -3, 0.523 in descending order.\nAnswer: 4\/7, 0.523, 1\/6, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 113. Let d(o) = 6*o - 564. What is 2*d(k) + 11*f(k)?\nAnswer: k + 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40469 is divided by 13394?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/171 and -223\/418950.\nAnswer: 418950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wppwpxkokkap. What is prob of sequence kka?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 34?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -219? (a) -0.2 (b) -1\/4 (c) 5 (d) 5\/6 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*a = -34, 30 + 14 = 4*q - 4*a. Let l(n) = -n**3 + 7*n**2 - 7*n + 6. Let h be l(q). Let v be (-18)\/(-66)*1\/(-3). Is v greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -1.6381.\nAnswer: 8.1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211 + 215. Let i = -1677 - -1680. Let 0 + 0*u**i + 12\/11*u**y + 6\/11*u**5 + 0*u**2 + 0*u = 0. What is u?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 2403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**4*h + 9*d**4 - 87*d**3*h + 6*d**2*h - d**2 - 82*d*h wrt d?\nAnswer: -96*d*h + 216*d - 522*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.71 - -31.71. Let f = -5 - t. Let o = f - -35.99999924. Round o to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.77791 nanoseconds to minutes.\nAnswer: 0.0000000002462985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 8, 5*b + 10 + 85 = 5*c. Suppose c = 5*r, -5*r - 3 = -z + 21. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280675 and 1055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 210?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 68 = -20. Let q(z) = -z**3 + 10*z**2 + 9*z + 26. Let v be q(11). Calculate the highest common factor of v and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 10. Let x be s\/(-3) + (0 - 3) + 12. Let r(w) = -15*w**2 + w**3 - 4*w - 1 + 5*w**2 + w + x*w**2. Calculate r(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1056 - -982. Which is smaller: -72 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2459635 divided by 1\nAnswer: -2459635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3424\/11 + 324. Is b > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 87989 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -1661, -3885, -6999, -11003?\nAnswer: -15897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 546 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7429 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -2231?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**4\/3 + s**3\/6 + 2*s. Let g be q(1). Solve -5*o - y - 25 = 0, 0*o - 25 = g*o + 5*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/16 and (332\/16)\/(260\/(-91)) - -8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 2525529*s.\nAnswer: -3*s*(s - 841843)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4*3.719997\nAnswer: 14.879988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 24*u - 6. Let h(x) = -12*x**2 + 64*x + 16. Let f(s) = -3*h(s) - 8*v(s). Let i(a) = -1787*a + 2. Give i(f(r)).\nAnswer: -7148*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.75 + 9.7. Let f = 217 + -1081\/5. Which is the third biggest value? (a) v (b) 0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00076594 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - g)*(-1 + 3 + 0) - g + g - 2*g + (-11 + 1 - 2)*(g + 3*g - 6*g) + (8*g - 9*g + 2*g)*(-3 - 2 - 5).\nAnswer: 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 36102215 to the nearest 1000000.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -29 + 2 - -23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-5))*y**(-9\/2))\/(y**(2\/15)\/y)**(29\/2))**(-2\/65) assuming y is positive.\nAnswer: y**(-392\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17327 (base 9) to base 13.\nAnswer: 557b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {z: 2, t: 2, m: 3, f: 8}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-12\/13)\/((((o**3\/o)\/o)\/o)\/o))\/(o*o\/(o*o**(-34)*o)*o*(o\/o**(1\/11)*o)\/o) assuming o is positive.\nAnswer: o**(-5124\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247610 rounded to the nearest 10000?\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i + 785 = 2*j, 16979*i - 16982*i = 2*j - 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 864, 1665, 2468, 3273, 4080?\n\"Answer: g**2 + 798*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 100.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -129011525*l**2. Let h(b) = -b. What is h(n(v))?\nAnswer: 129011525*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*w**4 - 6*w**4 + 2*w - 9*w wrt w?\nAnswer: -156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-3*b**4 + 3*b**4 - b**5) - 156*b**5 + 159*b**5 + 57*b - 392*b.\nAnswer: b**5 - 335*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (125\/(-30))\/(45\/(-12))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 33*x + 104*x - 52 = 67*x, 3*y + 2*x = -44 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -6, -5 in decreasing order.\nAnswer: 39, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -53.\nAnswer: 32\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a38b (base 12) in base 13?\nAnswer: -4c982","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19647?\nAnswer: 3, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01721025 to five decimal places.\nAnswer: 0.01721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 38, -2\/13, 2\/29, 0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/120 - r**4\/24 + 5*r**3\/6 + 7*r**2. Let k be f(0). Solve 3*j - k*i + 5 + 5 = 0, 3*i = 4*j + 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 75010*u**2 + 58680360*u.\nAnswer: 5*u*(u - 14174)*(u - 828)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1258618, -1258642, -1258694, -1258786, -1258930?\nAnswer: -1259138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34964 + 65606 - 32760 = 10161*f - 23639 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -81*r + 33. Let n(w) = 5*w - 2. Let t(f) = -2*g(f) - 33*n(f). Let k(y) = -4*y**2. Determine k(t(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 81 - 948*f - 45 - 36 in the form w*f + t and give w.\nAnswer: -948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1243.01482 - 1332.01481866. Let g = l + 89. What is g rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -14 - 33*y + 13*y + 21*y. Let p be w(6). Let f = 7 - p. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c2a4 - -a8?\nAnswer: 4c37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -126*j**5\/5 + j**4\/2 + 105*j**2\/2 - 170. Find the second derivative of s(m) wrt m.\nAnswer: -1512*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 30 = -3*a. Differentiate 3 + 2*n**4 - a + 0 with respect to n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273 = -0*x + 17*x + 4*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -4*f + 75, f - b - 6 = -4*b. Let q(d) = -d**2 + 13*d + 38. Let h be q(f). Solve -10*u + h = -6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -3. Let p = n + 54. Let l be 0 - (-1)\/((-2)\/(-60)). What is the greatest common divisor of l and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 2138848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:44 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5.6. Let o = d + -0.3. Let k = -65 + 391\/6. Which is the closest to o? (a) k (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = t - 0*t, 0 = -j - 2*t. Suppose j = -3*s - 13 + 4. Which is greater: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -637 = -4*o + 179. List the prime factors of o.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/47, -1, -23, -64, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 225 divided by -5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.096135 to 2 dps.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -17. List the prime factors of (-4 + 10)*104\/z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*w. Suppose -4*r - 56 = -2*n, 2*n - 5*r + w*r - 52 = 0. Solve -3*y = -v + 7, 5*v = -y - n - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.4368811 to 2 dps.\nAnswer: -17.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + b - 26 = 0, 2776*b = 8*y + 2775*b - 51 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0133 + 0.2867. Which is the closest to -3? (a) 1\/2 (b) 1\/6 (c) h (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*t - 1945, 3*t - 43 = -34. Sort 2, 0, l in ascending order.\nAnswer: l, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n + 44*n = -147 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**5\/7 - 764*u**4 - 1827304*u**3\/7 - 26612360*u**2\/7 - 131737300*u\/7 - 218460500\/7 = 0.\nAnswer: -661, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 418.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 2*k**2 + 2*k + 1. Let z be d(-1). Suppose -2*t + 484 = -z*t. Let f = t + -173. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 11:36 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 2*u - 2*o, 2*u = -o + 2. Suppose 3*a + 0*a = -z - u, 2*a + 3 = -z. Let c(g) = g**3 + 10*g**2 - g - 8. Let y be c(-10). Which is smaller: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 4, 22, -2, 5, -2\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 3*v**2 - 4*v - 1. Determine b(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 8*a**2 + 6*a - 5. Let u be c(-7). Solve -16 = -u*x - 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let g(y) = 3*y - 1. Let v(p) = g(p) + 2*u(p). Let z be v(5). Is (-1)\/z - 927\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a + 3. Let g(f) = 64*f - 40. Give -3*g(d) - 40*k(d).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 23*z + 15 - 9 + 2*z + 0*z - z + (-2 - 1 + 4)*(2*z - 3*z + 2*z).\nAnswer: 25*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19575099759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + -2 + 4 + 1. Calculate the remainder when -3 - (23\/y - 2) is divided by 40*(16\/10 - 222\/185).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -38*b + 216, -4*h - 4*b - 30 + 101 = 5*b + 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 1871*g - 20316. What is n(-11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/930 and 35\/606.\nAnswer: 93930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 632509*y**5 + 287404*y**2.\nAnswer: 37950540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 - 192*i + 3069. Let y be 2 - 1 - 84\/(-21). Let j(z) = -9*z**2 - 384*z + 6139. Let o(m) = y*c(m) - 3*j(m). Factor o(q).\nAnswer: -3*(q - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068809635 rounded to five dps?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -16, -8\/3 in decreasing order.\nAnswer: 5, -8\/3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5 plus 1218988935138?\nAnswer: 1218988935141.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2228 + -1517. Suppose 11*s = z + 15. Are s and 67 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 38*z**2 + z - 44. Determine d(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222212 - -1111202?\nAnswer: 12111121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/5))\/p)\/p)**30\/((p**(5\/2)\/p)\/p**4) assuming p is positive.\nAnswer: p**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 6*a. Let y(t) be the second derivative of 0 - 2*t - 11\/6*t**3 + 0*t**2 - 3\/4*t**4. What is -11*b(u) + 6*y(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2019 and -85.\nAnswer: -171615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 156454 (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x - 4*x + 2*x + 5*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1604?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72222 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 500268418 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5 - (19 + -21))*(64\/(-21) - -3)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 9*o**2 - 3*o - 9. Let g be f(9). Let u = -18 - g. Suppose -2*c + 3*c - 2*t = u, 0 = 5*t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224 - 218. Let d = 11 + 40. Suppose t - k - 9 = 0, -3*t = -p*t - 3*k + d. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11410.72 - 11414. Which is the nearest to z? (a) -1 (b) -1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*m + 8 = 0, -4*m + m = l - 18. Suppose -l = x - 4*x. Solve -x*d = d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 973*z.\nAnswer: -973*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 849 + 219 = 0. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 558 = -5*y - 52, 0 = -3*y + 5*m + 298. Suppose 4*l + 3*s - 6*s - y = 0, -17 = -l - 2*s. What is the remainder when l is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 43 = -35*u + 38*u, 0 = -6*u - 5*d + 56 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -967670, -967827, -968088, -968453, -968922, -969495, -970172?\n\"Answer: -52*q**2 - q - 967617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 14 + 0 + 31 - 2.\nAnswer: h**3 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + -3. Let v = u + 31. Which is the nearest to v? (a) -4 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 81*n**2 + 520*n - 156. Let h be p(74). Suppose c - 10 = 5*j, 2*c + 1 = j + 3. Let f be j\/3 + 28\/(-3). Do f and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 10. Let z(x) = 3*x - 31. Let k(n) = 400*n - 2396. Let f be k(6). What is f*z(l) - 11*w(l)?\nAnswer: l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 8043462.\nAnswer: 32173848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*g - 119, -38*g - 3*c = -41*g + 168. What is the remainder when g is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6298203369008 + -3.\nAnswer: 6298203369005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 = 15*j - 164. Calculate the highest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392507 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/3 - 7*w**2 + 40*w - 100\/3.\nAnswer: (w - 10)**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 44*z**2 + 27*z - 127. What is g(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hukkukjush.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24138988897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3115)\/(-4025) + (-6)\/10. What is the fourth smallest value in 0, j, -3\/2, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*v + 2244, 1859 + 976 = -5*b + v. Let m = b - -2864\/5. Let -m*f**4 - 6\/5 + 8*f**2 + 2*f**3 - 19\/5*f + 9\/5*f**5 = 0. What is f?\nAnswer: -1, -2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12479901409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2363825806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 3*m**6\/40 - m**5\/10 + m**4\/8 - 4*m**3\/3 - 156*m**2. Find the second derivative of a(s) wrt s.\nAnswer: 54*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/6 (b) 2\/3 (c) 2\/13 (d) -3\/14 (e) -6 (f) 29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 106448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9221\/23 + -401. Suppose 9*w - 39 = 6*w. Suppose w*d = 10*d. Is t at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2025\/2754*-17*(-8)\/4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.443 less than -82.709?\nAnswer: -83.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 12*f + 31. Let z(u) = 2*u**2 + 85*u + 842. What is the lowest common multiple of z(-12) and i(-13)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*p**4 + 6*p**3*w + 298*p*w wrt p.\nAnswer: 720*p**2 + 36*p*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*u + 4, -4*u - u - 5*c + 5 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1429*t + 311565. Determine u(218).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**2 + 29 + 11*y - 9 - 15 - 3 as v*y + j*y**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 20*s + 1. Let p be v(3). Suppose 3*h = -x + 146 + p, -8 = 4*h. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-203)\/205*3\/6. Let x = 1\/205 - p. Factor x*h**3 - 3\/2*h**2 + 0*h + 2.\nAnswer: (h - 2)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -769959 or -769949?\nAnswer: -769959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 25. Let z be q(6). Let n(a) = 9*a - 1. What is n(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -2\/7 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1544.365 - 1550. Let h = n - -5.8. Round h to two dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/22)\/((-110)\/(-605)). Suppose -3*a + 2245 = o*k + 3*k, 4*k = a - 771. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -4*s**4\/3 + 103*s**3\/2 + 99*s**2. What are the prime factors of o(0)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 6. Let u be l(9). Sort u, -5, -2 in descending order.\nAnswer: -2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 + 162. Let p be (f\/14)\/((-9)\/336). Are p and 21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -47*n**2 + 47*n + 5. Let y be f(5). Let q = y - -2810\/3. Factor 2*g + 1\/3*g**3 + 0 - q*g**2.\nAnswer: g*(g - 3)*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**3 + 3472*k**2\/5 - 149988*k\/5 - 60552\/5 = 0?\nAnswer: -2\/5, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 3, 4, 0.4 in ascending order.\nAnswer: 0.04, 0.4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 13, 27, 899 in descending order.\nAnswer: 899, 27, 13, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 883149, 883174, 883197, 883218, 883237?\nAnswer: 883254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 4 + 4)*(-2*u - u + 2*u) + 98*u - 111 + u**2 + 71 + 39.\nAnswer: 2*u**2 + 98*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117259181 to the power of 1\/3, to the nearest integer?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3811*n - 99. What are the prime factors of y(2)?\nAnswer: 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, r: 6, j: 1, x: 3, h: 1}. Give prob of sequence hr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302500 + 165119 = 53*n. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/17, 3\/4, 167, 2\/15, -3946.1, 5, 4?\nAnswer: 167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 15*a - 9. Let f be y(6). Let h be (1\/3)\/(5\/f). What is the third derivative of -14*z**3 + 0*z**2 + h*z**2 + 2*z**2 wrt z?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850587?\nAnswer: 3, 281, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23894 from -2535.\nAnswer: -2535.23894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -34. What is the third smallest value in 0.2, -2\/3, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -195 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0 - 63*x**2 - 1\/30*x**5 + 0*x**4 + 0*x**3 + 0*x. Let f(w) = 24 - 5 - 4*w**2 - 2*w**2 + 8*w**2. Determine f(n(m)).\nAnswer: 8*m**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**2 + 95*f - 64. Calculate the remainder when u(11) is divided by -4 + (3\/3 - -10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 32*p**3 + 7*p + 102. Let k(m) = 37*m**3 + 9*m + 101. Calculate 5*k(u) - 6*z(u).\nAnswer: -7*u**3 + 3*u - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1636 and -119667.\nAnswer: -19577.5212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + -3 + -3 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/5)\/(3\/(-10)). Suppose 2*u = -5*b + 56, -3*b + 4*b - s = 2*u. What is the lowest common multiple of 18 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5\/7 - 118*c**4\/7 + 348*c**3\/7 + 502*c**2\/7 - 328*c + 1560\/7 = 0?\nAnswer: -5\/2, 1, 2, 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*v + 59*v + 7304. List the prime factors of v.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*o + 12 = 171*o. Sort -4, -2, 48, o in decreasing order.\nAnswer: 48, o, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**3 + 3530775*o**2 + 1038866107104*o + 1038862576332 = 0.\nAnswer: -588462, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 23*g**2 + 4. Let r(a) = 114*a**2 + 19. Suppose -56*d = -54*d + q - 41, -2*d + 23 = -5*q. Determine d*x(v) - 4*r(v).\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 266*u + 264.\nAnswer: 2*(u + 1)*(u + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 - -3?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 - 1721*w**2\/3 + 62685*w\/2 - 424764.\nAnswer: -(w - 27)**2*(w + 3496)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50456179 to the nearest integer?\nAnswer: 7103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 21, 538, 0, -5 in decreasing order.\nAnswer: 538, 21, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 44. Suppose -8*z**4 + 3*z**3 - y*z**5 + 11*z**3 + 16*z**2 - 16*z - 2*z**3 = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d. Let a(o) = 16*o**2 - 7*o + 7. Suppose -3 - 21 = 4*g. Let r(w) = -8*w**2 + 3*w - 3. Let p(i) = g*a(i) - 14*r(i). Calculate f(p(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvr when three letters picked without replacement from {r: 1, w: 2, v: 11}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 325497980 by 37060.\nAnswer: 8783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 - 74242*f**3 - f**2 + 99090*f + 1.\nAnswer: -12*f**2 - 445452*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-148)\/1628 + 15\/(-77). Which is the third biggest value? (a) -39 (b) x (c) 0.09 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n + 3*n + 12*n to x + l*n and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 437*y**5 - 568*y**2 + y wrt y?\nAnswer: 26220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - s - 3 - 3*s - s - s**2. Let t = -3 + 3. Let d be (-5)\/2*(2 + t). What is a(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 28 + 12. What is the nearest to 3 in -1, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -468.6 + 468.59993911. What is o rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*0.01.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 66.7, -4657, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a factor of 35411540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 - 933478?\nAnswer: -932903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0*x**4 + x**2 + 0*x + 0*x**3 - 1\/15*x**5 + 0. Let s(u) = 0*u**2 + 0*u**2 - u**2 - u**2. Determine s(f(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a hour in seconds?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:07 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*q - 94*q - 134 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 463 and -23.451.\nAnswer: -10857.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from {g: 1, e: 2, s: 4, x: 3, t: 3, m: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 479455 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2\/10*-1). Let k be ((-112)\/(-20) + -4)\/((-297)\/45 + 7). Sort k, 9, m in decreasing order.\nAnswer: 9, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2856 is divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5626.3 + -5612.3. Suppose 5*i + 1 = 5*f + 11, 2*f + 7 = -i. Which is the second biggest value? (a) j (b) i (c) 0.3 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 58*c**2 + 114*c - 30. Give j(-56).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-23)*s\/s**(5\/2))**(-1\/22) assuming s is positive.\nAnswer: s**(-45\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 13}. Give prob of sequence aa.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8955028ml in litres?\nAnswer: 0.0008955028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2500105751 and -1444?\nAnswer: 2500104307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*q**2 - 6*q**4 + 3*q - 24*q**2 - 27*q**2 to the form j*q**4 + f*q**3 + o*q**2 + r*q + u and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6448904 and 47\/11368.\nAnswer: 45142328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 + 92. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*s**3 - s**3 - 4*s**3)*(-3 + 2 + 2) - 2 + 2*s**3 + 2)*((6*s - 3*s + 4*s)*(8 - 5*s - 8) + 0*s**2 + s**2 + s**2).\nAnswer: -33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 759 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 18. Let q be s(-8). What is the greatest common divisor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226274032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 3*w - w + 32, 0 = 3*w - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/72 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = -0. Suppose -2*a - 10 = -7*a, -v*h - 2 = -a. Which is bigger: h or 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2292*y - 803523. Give k(-432).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*n**3 - 54*n**2 - 10*n - 47592 with respect to n.\nAnswer: -75*n**2 - 108*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7)\/(n\/n**(-2\/5))*(n**(-1))**(-33))\/((n**(-1)*n)**(6\/11)*n**(-2\/3)*n**(-1\/5)) assuming n is positive.\nAnswer: n**(3454\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13255 by -5.\nAnswer: -2651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -41. Calculate the remainder when 11 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 5. Let f(m) = 2*m - 10. Let w be f(6). Let y(u) = -3*u + 14. Let v(k) = w*y(k) - 7*l(k). Determine v(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10033102103 (base 4) to base 13.\nAnswer: 2cba0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1. Suppose 0 = y + 2 + 16. Let t be (-44)\/36 + (-4)\/y. Let n(d) = d. Calculate t*n(i) - 2*c(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*j**2 - 38*j**3 + 9*j**3 - 189*j**2 + 64*j**2 + 46*j**2 - 2 as k + o*j + h*j**2 + b*j**3 and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 58*h**2 - 13*h - 210. What is the thousands digit of l(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 426140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 3. Let p be q(-7). Let m be (-36)\/65 - 4\/(-26). Which is the second smallest value? (a) 0.5 (b) m (c) p (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 11 - 24)*(3*n**2 - n + n) - 5*n**2 - n**2 + 5*n**2 + 1 - 1 + 3*n**2 to q*n + s + w*n**2 and give w.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4370?\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 44*183620\nAnswer: 8079280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1251 by -139.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.29 - -0.07. What is the nearest to -1\/3 in -3\/4, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14784891*q**3*u**2 + 2*q**2*u**2 + 3*q**2 - 482157*q wrt q.\nAnswer: 88709346*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, -17232, 1, -1 in ascending order.\nAnswer: -17232, -9, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -1.9. Let v = -50429 + 50438. Which is the third biggest value? (a) 0.3 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y - 3 + 4 + 10*y. Let t(h) = h. Let n(i) = -13*i - 1. Let p(s) = -n(s) + 2*t(s). Let m(j) = -9*d(j) + 4*p(j). Differentiate m(f) wrt f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304 = -19*w - 1649 + 15 for w.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4712, -18835, -42372, -75323, -117688?\n\"Answer: -4707*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -18*s**3 + 13*s**2 - 28*s + 6. Let u(w) = w**3 - 2*w**2 + w - 1. Calculate -t(x) - 6*u(x).\nAnswer: 12*x**3 - x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 t, 1 j, and 1 m when four letters picked without replacement from jomtjjdtzmttttoozj.\nAnswer: 8\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633, -632, -639, -660, -701, -768, -867?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a microgram in nanograms?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -15*w**8\/112 + w**5\/6 - w**4\/12 + 88*w**3\/3 - 105*w**2. Find the second derivative of y(o) wrt o.\nAnswer: -900*o**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -5*t - 15, 5*z + 4*t + 15 = -t. Suppose z = 3*s + 5*k - 2627, 1412 + 332 = 2*s - 4*k. What are the prime factors of s?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -29*d - 22. What is o(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -616 and -0.08.\nAnswer: 49.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 + 0 = 2*f - 19*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -21 - 3 - 4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -547 + 552. Solve -1 = i + t, 0*t - 2*t = b*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3271, -3277, -3285, -3295, -3307, -3321, -3337?\nAnswer: -3355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13623 and 1197?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/1*-4*(-115)\/92.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - -4c?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*-5*((sqrt(2448) - ((-4*((sqrt(2448) - -4*sqrt(2448)) + sqrt(2448)) - sqrt(2448)) + sqrt(2448))) + 6*(0 + sqrt(2448))))**2.\nAnswer: -55800*sqrt(17) + 1470330009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*k + 16, 2*k + 68 = -2*k - 5*f. Let w(n) = n**2 + 10*n + 15. Is 8 a factor of w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*8\/30*(-26)\/312*-30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 574 + -415. Let p = -122 + b. What is the remainder when 122 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169689, 5, -26.\nAnswer: -26, 5, 169689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(t*t**9\/t*t)\/t))\/t**(-13) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90309 - -154325. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/1*((-28)\/728 + 465\/(-585))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332290 to the power of 1\/2, to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose 0*r + 3*r - 54 = p. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:32 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - f**2 + f - 1. Let u(x) = -3*x**3 + 37*x**2 - 12*x - 198. Let a(m) = -u(m) - 2*z(m). Suppose a(j) = 0. What is j?\nAnswer: -2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -202, -1523 in ascending order.\nAnswer: -1523, -202, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217.25 + 217.2. What is the closest to 2\/5 in -0.2, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1*1)\/sqrt(11))**2 + (-2 + sqrt(1008) - sqrt(1008)) + sqrt(7) + -2 + (sqrt(14)\/sqrt(2) - sqrt(7))**2.\nAnswer: sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -195505 + 345498. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 56178660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -96*u - 2881. Calculate a(-29).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1312 - 635. Suppose -5*i = -5*b + 2*b - 3385, p = i + 5*b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -5)*(-2)\/(-1). Let p(a) = a**2 + 7*a + 9. Let k be p(s). Solve k*n - 2 - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*t = -1, -636 = -5*m - 4*t - 625 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:04 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317756912 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (280\/(-50))\/((-49)\/280)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 12 + -8 + -14 + (5 - 1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + 0.32. Let h = l + -3.95. Let u = h - 0.59. What is u rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12375.042 to the nearest ten.\nAnswer: -12380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 10067592\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -58, 96, 6, 5, -5 in increasing order.\nAnswer: -58, -5, -2, 5, 6, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2763.\nAnswer: -5\/2763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2592886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280\/19, 0.8836, 0.5 in descending order.\nAnswer: 0.8836, 0.5, -280\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + r = -4*x - 6, -3*r = -3*x - 9. Let g(s) = s**3 + 2*s**2 - 4*s - 2. Let p be g(-3). Suppose p = -x*i + i. Solve 0 = -c + i + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4 - 318*l**3 - 1647*l**2 - 1998*l.\nAnswer: 3*l*(l - 111)*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 116546237638 from -18.\nAnswer: -116546237656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 657150?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 1 = -3*n. Let r = 1 - n. Let v be 2 + (-1 - r*2). Solve 0 = z - v*p + p - 1, -3*p = -5*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((-13)\/((-156)\/15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 20 = 0, -3*l + l = -4*m + 16. Suppose -4*x = -5*o + l*o - 53, x - 18 = -4*o. Let b be (x + 0)*(-2)\/(-4). Solve -3*v = 5 + b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/65*-2 - (-411)\/39?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44568 and 258168.\nAnswer: 479417976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -86. Which is greater: 23 or q?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.061 times 109\nAnswer: 6.649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117438481 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**2 + 6*t - 5. What is the tens digit of y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3523688 and 2492?\nAnswer: 3523688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -50 + 40 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-39)*(8 - 90\/60)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 2065 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24 and 0.1.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11912 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 79, -55397, 1 in descending order.\nAnswer: 79, 5, 1, -1, -55397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -35.76.\nAnswer: 321.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*a - 0*a. Suppose -380*n**3 + 244*n**2 - 125\/2*n**5 - 72*n + 8 + 525\/2*n**a = 0. What is n?\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1303601335 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 200 = 8*o. Let h = 6754 + -60859\/9. Find the common denominator of 137\/o + (-4)\/(-5) and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -3 (b) -4 (c) -5 (d) -46838\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q - 1. Let s(k) = 142*k - 9. What is -22*a(b) + 2*s(b)?\nAnswer: 108*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 17 = -1. Suppose -43 = -5*w - 4*a, 2*a = 3*w - 1 - c. Solve -p + 1 = -m, p - w*m - 7 = -3*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y - 4*y + 0*y)*(-239*y**3 + 2879 - 2879)*(0 - 1 - 1) to the form q*y**4 + g*y + p + i*y**3 + n*y**2 and give q.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**5\/5 - 11*a**4\/12 + 8*a**3\/9 + 2*a**2\/3 - 16. Suppose t(b) = 0. What is b?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*k + 1829 + 2472 - 114 = -6*k for k.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -84, -184, -332, -534, -796, -1124?\n\"Answer: -s**3 - 15*s**2 - 6*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1715, -1838, -2035, -2300, -2627, -3010, -3443?\nAnswer: -3920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14, -0.2, 0.948, 1\/10, 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 112375 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -52, 55\/43, 3?\nAnswer: 55\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11500 and 11295375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.039 * 3.\nAnswer: 3.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttktokttjkkk. Give prob of sequence jk.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 65497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 33120?\nAnswer: 231840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19028 and 136412?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-3))\/(20\/(-12)). Which is smaller: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(220)\/sqrt(4)*4)\/(((sqrt(250) + sqrt(250)*-2)\/sqrt(10) - sqrt(25))\/sqrt(5)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/5 (c) 0.5 (d) 0 (e) 0.01442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeqezeezzee. What is prob of picking 3 e?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2340 + 1?\nAnswer: -2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 7*c + 2*c)*(-2 + c + 2) - 1160*c**2 - 576*c**2 + 910*c**2 + 13990*c**2 + 6638*c**2.\nAnswer: 19800*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 21*t + 1. Let i(p) = -p**3 - 2*p**2 + 7*p + 1. Let m be i(-4). Let x be v(m). Suppose 60 = -w + x. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + g - 4. Let u be c(-3). Let x(l) be the first derivative of 0 - 2 + 2*l + 0*l - l**u. Differentiate x(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54853146 by -13758.\nAnswer: -3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 310\/(-30) + 10 - -1. Suppose -4*m - 27 = -g, -7*g + 35 = -2*g + 5*m. Which is the closest to g? (a) -0.4 (b) n (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**3\/3 - 2*q - 1. Let z be -4 - -2 - (-4 + (-44 - 2)). Let k = -37 + z. Let c(w) = 6*w**2 - 11. Give k*l(f) - 2*c(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 6*v. Let c(m) = 6*m**2 + 5*m. Let k(l) = 7*l**2 + 6*l. Let o be 132\/(-20) - (-6)\/10. Let y(u) = o*c(u) + 5*k(u). Determine b(y(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1688 + -1706. Let i = 5.8 + -6. Which is the second biggest value? (a) -3\/2 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + -1.4. What is the nearest to 1 in b, 2\/5, -1.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73 + 21 - 67)*(-3*o**2 + 0*o**2 + 4*o**2) + 2*o**2 - 6*o**2 + 2*o**2 + (-2*o + 2*o - 2*o)*(-3*o + 3*o - 2*o) in the form k*o**2 + m + v*o and give k.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**3 + 445*v**2 - 55*v - 18364. What is o(-111)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-216 - 12 - 19)*(6 - 3 - 1) - 1 + 2 + 0)*(69*o**2 - 20*o**3 - 69*o**2).\nAnswer: 9860*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133820*a + 133 = -133827*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -125)*(-311)\/(-622).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 916 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3746 - -5890. Let x = y - 12823\/6. Calculate the common denominator of 29\/9 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346142?\nAnswer: 2, 19, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3855.1301 to zero decimal places.\nAnswer: -3855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/714 and 19\/1428.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/140 + 4*(-2)\/(-4)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 184. Calculate the remainder when 127 is divided by l(27).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 469302590595304 + -0.4\nAnswer: 469302590595303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/355584 and -25\/177792.\nAnswer: 355584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/(6*sqrt(10)\/sqrt(2)))\/(((sqrt(36)\/sqrt(2))\/sqrt(6) + sqrt(3))*-6))**2.\nAnswer: 1\/2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 159 - 951 = 0. What is the units digit of -2 + h\/(-6) - 2\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 649 + -653. Let w(c) = 2*c + 0 + 4 - 1. What is w(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b53f8 - -41f?\nAnswer: -b4fd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.1 (c) 2502824\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/4 - 83013*k**4\/2 + 996087*k**3\/4 - 539535*k**2 + 498027*k - 166008 = 0 for k.\nAnswer: 1, 2, 55336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**2 + 24*z + 162. Does 63 divide l(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (73 - 13 + 56)*(-3*l - 9*l + 24*l + 16*l) in the form v + a*l and give a.\nAnswer: 3248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 6*z = 18. Let a be (((-5)\/3003)\/(-1))\/(z\/17398). Let c = -8\/2457 + a. What is the common denominator of -53\/24 and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13*3 + 2 + 0. Suppose -42 - 13 = -5*s - 5*n, 0 = s - 5*n - l. Let h(r) = 3*r**2 - 7*r + 7. What is the remainder when h(5) is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 262, -3, 2, -21\/10, -3\/5?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2. Let b(o) = 4*o - 6. Let f be b(2). Let z(q) be the first derivative of 0*q**f - 1\/3*q**3 + 0*q + 2. Give z(i(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 23, 5, -20, 13, -0.2?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 times -56563?\nAnswer: -7579442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 19*a - 7600. Let r = -399 + a. Sort 3, r, -5, -3 in increasing order.\nAnswer: -5, -3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618567283.\nAnswer: 271, 1201, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(5\/7)\/((c\/(c**(-2\/39)*c))\/c**(6\/7)) assuming c is positive.\nAnswer: c**(415\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in years?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4011 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - w - 1)*(-5 + 0 + 4) + 2*w - 5*w + 0*w)*(139*w**2 + 135*w**2 - 89*w**2).\nAnswer: -370*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 24*f**2 - 213*f + 234.\nAnswer: 3*(f - 13)*(f - 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 + s - s + (5 - 2 - 5)*(1 - s - 1 - 2*s + 3 - 3 + 4*s - 3*s - 3*s + (0 - 5 + 4)*(-1 - s + 1) + 0*s - s - s)*(-7*s - 60*s - 61*s).\nAnswer: -1534*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 + 4*r**2\/3 - 8*r\/9 - 16\/3.\nAnswer: 2*(r - 2)*(r + 2)*(r + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35273678300 + -0.3\nAnswer: 35273678299.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -210557637 + -2?\nAnswer: -210557641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*b + 370, -4*m - b + 283 = 4*b. Calculate the greatest common divisor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-48)\/20)\/(-6)*15. Suppose p - 5 + s = 0. Is p greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 44 = 5*w + 14, 39 = 3*w - 3*p. Let q = -2 + 2. Let d be (-6)\/21 - 32\/(-14). Solve -y - 3*y = -d*m - w, -3*y + 5*m + 13 = q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 221 in -2\/11, -5.64, -0.1, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*l + 545 = -8*l, -l + 521 = 5*r. Suppose z = 2*j - 233 - r, 5*z + 346 = 2*j. Is 42 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*-1)\/(15\/(-50)). Suppose -5*i - b = 0, 0*q + 5*i + 28 = 4*q. Suppose 2*d - 2*w - 24796 = 0, -d = q*d + 5*w - 37210. Round d to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-6 + 2 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1145927, 9167389, 30939919, 73339049, 143240311, 247519237?\nAnswer: 393051359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -23. Factor y*s**3 - 20*s - 16 - 5*s**2 + 3*s**2 - 4*s**2 + 4*s**2.\nAnswer: 2*(s - 4)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81\/11 or 8?\nAnswer: 81\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(7))**2 + 3).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 2539*w + 35*w**3 - 36*w**3 + 2544*w + 3. What is j(-5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(-1 + sqrt(2736)) - (1 + (1 + sqrt(2736) - sqrt(2736))) - -5*(2*sqrt(2736) + 3)))**2*3.\nAnswer: 13104*sqrt(19) + 1609275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(5\/(-3) - -1). Suppose 5*i - 12 = n*i. Solve -12 = -4*f, 0 = 3*m - i*m + 4*f - 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*r + 203, 178 = -0*r + 2*r + 2*d. Let b = r - 68. Suppose -4*z + f = -39, -2*z - f = -3*z + 12. What is the remainder when b is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -742\/5 or -149?\nAnswer: -742\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*x + 220 = 0, 8*x = -5*v + 3*x + 240. Calculate the remainder when 1389 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 2*x + 2. Let d(r) = 2*r**2 - 3*r - 3. Let n(j) = 4*d(j) + 6*m(j). Let o(v) = 11*v**2. Determine n(o(g)).\nAnswer: 242*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4598796*z. Let t(p) = -10*p**2. What is t(s(j))?\nAnswer: -211489246496160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 165*c - 80*c - 20 + 3 = 86*c, -3*c = -25*s - 97 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x + 61*g - 65*g, -2*x + 4 = -g. Solve x*v = -4*l + 3*v + 17, -2*l + 11 = -v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2116\/(-253))\/(6\/(-33)). Calculate the highest common factor of 46 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**3 + 2*l**3 - l**3 + (0 + 1 - 2)*(-4*l + 4*l + l**3) - l**2 + l**2 - l**3 - 5*l**3 + 4 - 4 + 3*l**3 - l**3 - l**3 + 602*l**2 - 602*l**2 + 512*l**3.\nAnswer: 505*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/2289 and 173\/3270?\nAnswer: 22890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2112.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 - -82 - (4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -12625, -0.1, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 712547*t**2 - 5700424*t + 11400880.\nAnswer: (t - 4)**2*(t + 712555)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3 = 0, 3*o + 2 = -184*u + 188*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7147058 and 5?\nAnswer: 35735290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*f - 33, 0*f + 33 = -2*f + 5*n. Suppose 2*q - 143 - 13 = 0. Let i = q + f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 14*x**2 + x + 11. Suppose 4*h = 6*h + 2, 0 = 2*o + 4*h - 24. Calculate the smallest common multiple of n(o) and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5)\/(j**0*j*j)*(j**(-2\/3)*j)**(-4\/15) assuming j is positive.\nAnswer: j**(-319\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/4 - 1\/2. Suppose -1 = -f*q + 19. Suppose -4*s - q*h = -h - 24, 5*h - 16 = -3*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -211 - -362. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2803 + 0 - 138\/(-15 - 8).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 20. What is o(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3282 bigger than 39385\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -9. Suppose -5 = 5*d, c*i - 9*d + 4*d = 25. Suppose 0 = i*h - 3*y - 64, 4*h + 2*y = h + 65. Calculate the remainder when 36 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80879 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/((-24)\/(-30)) - 3) + 502\/4. Is s less than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1294, 1296, 1298, 1300?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6444 is divided by 1330.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -4 + 6\/6 + -2. Put m, 54, 5 in ascending order.\nAnswer: m, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*m**5 - 142449*m**3*n + 941*m*n + 25*m - 326 wrt m?\nAnswer: 1900*m**3 - 854694*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, -124, -125?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 385 - 49 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5930 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 4774*l**2\/3 + 3178*l + 4770.\nAnswer: 2*(l - 2385)*(l - 3)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4818558367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 3\/(9\/(-852)). What is the greatest common factor of h and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:48 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1227250*r**6*t**2 - r**3*t**2 - 7*r**2*t**2 + 409*r**2 + 10*r*t**2 wrt r?\nAnswer: 147270000*r**3*t**2 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3860 + 384*t - 1189*t + 4707 wrt t?\nAnswer: -805","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 138?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16841.672 rounded to the nearest integer?\nAnswer: 16842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 12*m**2 + 2*m + 4. What is a(-12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and 28946.\nAnswer: -839434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143 (base 11) to base 12.\nAnswer: -a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/87 + 79\/348. Let r be (-3 - -3) + 2\/6. Let g = 1.9 + -2. Which is the closest to r? (a) -5 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56185813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, a: 2}. What is prob of sequence nnnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 552 = -3*r + 379, 2*r - 3*b = 623. Let a(p) = -311*p**2 + 7*p - p - 5 + r*p**2. Suppose -3*y + 12 = -y. Give a(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:45 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s + 138 = 4*m, -10 = 5*s. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxcii. What is prob of picking 1 i and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - u = -1, -3*u = 4*o - 14 - 10. Suppose -o*m = -10*m + 588. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 60? (a) 3 (b) -4 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 32991185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.6. Let j = 15318 + -15320. Which is the nearest to -20? (a) j (b) 2\/9 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a factor of 832312656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1798*l + 1816*l = 180 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -601 (base 11) to base 2\nAnswer: -1011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15*7\/21 - -116. Factor n*m - 10*m**2 + 18 + 16 + 17*m**2.\nAnswer: (m + 17)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-2 - -3 - 2). Let k(l) = l**3 - 5*l**2 + l - 3. Let o be k(5). Suppose o = 2*i + 8. Which is the third smallest value? (a) i (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24295*g*h**4 + g*h**3 - 2*g*h**2 - 2*g - 2*h**5 - 30*h**2 + 48 wrt h.\nAnswer: -583080*g*h + 6*g - 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6*(v**(1\/5)*v)\/v*v)\/(v**2*v)**(-3\/17))\/((v**(-1\/6)*v)\/v*v**(-6))**49 assuming v is positive.\nAnswer: v**(158047\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -3)*(0 - 3). Suppose 0 = 5*z, -2*r - 1 = -x*z + 7. Suppose -o - 10 = -3*j + 5, 5*o = -j - 11. Sort r, 3, o.\nAnswer: r, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232511871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 30*m - 222. Let f be c(15). Solve 4*q - 5*w - 15 + 21 = 0, -3*w + 3 = -f*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 5*h - 10862, 0 = 29*r - 32*r + 5*h + 5411. Calculate the remainder when r is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38833193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*(-2 + 30\/21) - 3. What is the units digit of y*55\/15*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-284)\/(-6) - 1\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 18 = -0*r. Let h be (r\/(-5))\/((-19)\/285). Let s be 3\/7*(h + 13). Solve -5 = 4*x - s*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3295*h = -1005*h + 43510 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 452 and 1756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 + 38*n**2 - 3*n + 8. Let b(z) = z**2 + 2. What is 4*b(c) - p(c)?\nAnswer: -4*c**3 - 34*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**8\/6720 + w**5\/30 - w**4\/24 - 2*w**2. Let k(f) be the second derivative of s(f). Find the first derivative of k(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -149. List the prime factors of f.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2368\/15 + 158. What is the nearest to -2 in 1\/9, 2\/11, m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*l = -l - 1, -1 = g - l. Sort -3, g, 5.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 55 = -2605. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {b: 4, m: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9) - 2\/6. Let m = 6 - 3. What are the prime factors of (m - 14)\/(d - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -101*b - 28. Let y(n) = -49*n - 13. Give -3*k(w) + 7*y(w).\nAnswer: -40*w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -11, 2, 56672.\nAnswer: -11, -2, 2, 4, 56672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + 18. Let x = 6124.89 + -6091.89076. Let p = x - f. Round p to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 - 2*y. Let k(p) = p**2 + p - 1. What is -2*a(n) - 6*k(n)?\nAnswer: -2*n**2 - 2*n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*q = 132*q - 219*q - 3400 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95843378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g - 3*g + 5*g)*(2 + 1 - 2) + 3*g + g - 11*g + ((2 + 2 - 2)*(g + 1 - 1) + 3*g + 2*g + 0*g)*(7 + 14 + 3) to the form x*g + m and give x.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/234715 and 113\/1840.\nAnswer: 3755440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 499 = -52*g - 60 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-43 + 27)) + (-2 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 - b**3 + 0*b**3 - 9*b**2 + 15*b + 47 - 48 - b**3 wrt b.\nAnswer: -12*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -12.9. Let w = -1.878 + -0.002. Let p = m - w. Which is bigger: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500791.\nAnswer: 19, 78989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20aec2 (base 15) to base 7\nAnswer: 16136645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3919241, 0.2, -1\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 92 = u, 2*l + 100 = u + 3*l. Let p = 69 + -37. What is the highest common divisor of u and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/39))\/(c*c\/((c*c*c*c*c**(-11\/6)\/c*c*c)\/c*c)) assuming c is positive.\nAnswer: c**(55\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 16. Let o = d + 198. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 33*d**2 + 36*d + 141. Let x be v(-32). Put x, 2, 15 in increasing order.\nAnswer: 2, x, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 450, 452, 452, 450, 446?\n\"Answer: -u**2 + 5*u + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3055 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -5, -4, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(42)\/(sqrt(18)\/sqrt(3))))\/(sqrt(12) + 2*sqrt(1452) - (sqrt(36)\/sqrt(27) - sqrt(12))) + -5.\nAnswer: -5 + 3*sqrt(2)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -1\/8 (c) 0.05 (d) 0.2 (e) 67682\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -421543 - -421543.0000184129. What is r rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 10e71?\nAnswer: 10e70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18358 + -5272?\nAnswer: 13086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:48 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 46, 199, 452, 805?\n\"Answer: 50*l**2 + 3*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -104*f - 4340. Give d(-43).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17767.\nAnswer: 109, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2662603407 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.009 rounded to the nearest integer?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 17\/15*z**5 + 32\/9*z**3 + 0*z + 1\/18*z**6 - 94 + 13\/2*z**4 - 64\/3*z**2. Factor f(y).\nAnswer: y*(y - 1)*(y + 2)*(y + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7043.923 micrometers?\nAnswer: 7.043923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70741 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 7, -0.4, 1.9, -5 in decreasing order.\nAnswer: 7, 1.9, -0.4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-4)\/a)*a*a*a\/a**(3\/14))**35*((a\/a**(-2))**(20\/11))**(1\/25) assuming a is positive.\nAnswer: a**(33849\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4 + 155*t**3 - 313*t**2 + 157*t = 0.\nAnswer: -157, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 3720081669.\nAnswer: 3720081669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35638 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 302815271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.4691 rounded to one dp?\nAnswer: 268.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -48190 - -9?\nAnswer: -48186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14989796.91 rounded to the nearest one hundred thousand?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90663, -181366, -272071, -362778?\nAnswer: -453487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*j + 61, -j - 26 = -2*v - 3. Suppose 12*b + 399985 = 2*r + v*b, 600010 = 3*r + 2*b. What is r rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 0.17, 0 in increasing order.\nAnswer: 0, 0.17, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 6. Suppose w*i = 3*g + 2*g + 24, -2*g = -8. Suppose 5*v - d = -6 + i, -2*v - d = -5. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59313 or -2787738\/47?\nAnswer: -59313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 4*g - 17. Suppose -3*z + 11 = -16. Calculate the greatest common divisor of g and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/1260 and 163\/18540.\nAnswer: 129780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**4\/3 - 372*q**3 - 8770*q**2\/3 + 5536*q + 19800 = 0.\nAnswer: -550, -9, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19246594780 + -14.935.\nAnswer: -19246594794.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -608 less than 12082?\nAnswer: 12690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 319, 481, 643, 805, 967?\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9962 - -31536. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6*n - 3. Let v = 55 + -29. Let o = 18 - 20. Let t be v\/13 - 6\/o. Determine r(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(204\/10*(-5)\/2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253 - -174. Let x = -79.4 - k. Which is the closest to 1? (a) -7 (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -39 (b) -0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 - y - 6. Let q(n) = n**2 + n - 1. Let b(g) = -j(g) + 4*q(g). Suppose -10 = 4*k - 2*v, 0*k + 3*k - 3*v = -9. List the prime factors of b(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*g = 20, 142*g - 132*g = 5*n + 50 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from {x: 1, h: 8, c: 1, p: 7, b: 1, y: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 1. Let v(u) = u**2 + 12*u + 22. Let k be v(-10). What is n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5 - 813*p**4\/2 + 199958*p**3 + 601293*p**2\/2 + 100283*p = 0. What is p?\nAnswer: -694, -1, -1\/2, 0, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k - 14 = 0. Let h = -3 - k. Which is greater: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041 * -409.\nAnswer: -16.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2792 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -2\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*o**3 - 1614000*o**2 + 9278913*o - 13337677.\nAnswer: (o - 25213)*(8*o - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -975932*s**3 - s**2 - 8*s - 716304087 wrt s?\nAnswer: -2927796*s**2 - 2*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-232)\/87)*(-16)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 6*k + 1. Let q(b) = -55*b**2 + 4*b - 3*b + 56*b**2 + 4*b. Give 3*q(p) - 2*t(p).\nAnswer: -p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 331605 and 68421165?\nAnswer: 205263495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6274627*d - 6274711*d + 168 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h**2 + h - 8 + 8*h**3 - 10*h - 9*h**3. What is the remainder when 185 is divided by z(8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180.9 + -1.060393368.\nAnswer: -181.960393368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 5. Let s be j(0). Let m(g) = 9*g - 37. Let t(i) = 3*i - 12. Let o(l) = 2*m(l) - 7*t(l). Determine o(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.6 + -11.4. What is the second biggest value in -2, 1, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 + 11620105?\nAnswer: 11620162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 16. Suppose t*f + 3 = -2. Let x(b) be the second derivative of -b**4\/4 + b. Give x(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 36. Let i = x + -23. Suppose 4*v = -q + 21, -i*q + 71 = v + 2*v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 27*o. Sort -34, -3, o.\nAnswer: -34, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (133\/(-28) - (45\/(-12) - -3)) + 4. Which is the closest to 6? (a) 16 (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 1, x: 1, z: 2}. Give prob of picking 1 z, 1 f, 1 q, and 1 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/8*3*1. What is the third derivative of 0*t + 59*t**2 + 0*t - 43*t**f + 97*t**3 wrt t?\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 391405017 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3405 and 1245702?\nAnswer: 1413871770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 2, s: 1, w: 1, f: 1, d: 1}. What is prob of picking 1 f and 1 m?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 16*c**3 - 3*c**2. Let m(f) = f**3 - f**2. Let u be (-2)\/((-4)\/10) - 36\/9. What is u*h(b) - 3*m(b)?\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32984, -1, 44 in increasing order.\nAnswer: -32984, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 2*y = -7*h + 134, -4*h = -2*y + 292. Let t = h + 70. Let d = -16591\/8679 + 2\/789. Which is greater: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 2. Let i be 279\/(-36) + (-10)\/8 + 1. Let s(y) = 15*y - 6. Let o(r) = 3*r - 1. Let l(t) = -21*o(t) + 4*s(t). Calculate i*d(g) + 5*l(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4 - 0. Let l = 35 - z. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -525, -524, -523, -522, -521, -520?\n\"Answer: j - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {e: 1, i: 1, j: 2, k: 2, r: 1, p: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 0.22 (c) -2\/15 (d) -20 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 4, -5, -3 in decreasing order.\nAnswer: 153, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6 + 2. Let p(d) = -d**3 + 5*d**2 + 4*d - 3. Let u be p(b). Let z = 55 - u. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116956 divided by 1?\nAnswer: -116956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g + 6. Let k be i(-5). Suppose -108 = -4*x - k. Suppose -2*p + 4*n + 44 = p, 4*n + 20 = p. Calculate the least common multiple of p and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 6 + 10 = 0, 0 = -2*m - r + 36. Let v(b) = b**2 - 27*b - 153. Let a be v(-5). Solve -a*z = -3*z + m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513 + 6*k - 20*k - 513 + 25*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -d**7\/735 + d**6\/210 + d**5\/210 - d**4\/42 - 6*d**2 - 10. Let q(w) be the second derivative of x(w). Factor q(u).\nAnswer: -2*u*(u - 2)*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59128063 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3815336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24371166*g**2 + 86938774*g wrt g.\nAnswer: -48742332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.007, -7, 20 in descending order.\nAnswer: 20, -0.007, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 3838332*g**2.\nAnswer: 3838332*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 2:30 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - 1675*g**4 + 1711*g**4 - 29*g**3 + 35*g**3 to n*g**3 + z*g**4 + a*g**2 + l + h*g and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 80 = -5*v - 0*j, 4*v + 5*j = 68. Suppose 0 = -3*d - 4*t - 8, 4*t = 17*d - v*d - 40. Solve 2*c - d = 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067071 is divided by 355683.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360826*n - 3 - 360823*n + 3.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 17*n - 1341. What is r(-48)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -413 divided by -7.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 14*w - 71. Suppose -30 = -0*j + 5*j - 3*y, 5*y - 19 = -2*j. Sort j, -1, w in increasing order.\nAnswer: j, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**3 - 119*v**2 + 35*v - 1051. What is w(20)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 167 + 275 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 489, 981, 1473, 1965?\n\"Answer: 492*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + -2 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -16*q + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 7a082a?\nAnswer: -7a0830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*d + 60*d + 24 = 0. Let p(n) be the first derivative of 19 - 1\/18*n**3 - 8\/3*n + 2\/3*n**d. Determine x so that p(x) = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59048 take away -0.9?\nAnswer: -59047.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2719 + 5658241\/2081. Sort -4, 2\/7, b.\nAnswer: -4, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 11*i - 31*i + 507 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 5*o - 10. Let c = o - -3. Let v(i) = i + 9. Let k be v(-7). Solve 9 + c = -k*n, -2*x - 4*n = 26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7071310*i**3*m + 30*i**3 + 5*i**2 + 68*i - 2 wrt m?\nAnswer: -7071310*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3 - 0) + -9 + 10. Factor -1\/3*w + x*w**3 + w**2 - 2\/3 - 1\/3*w**4.\nAnswer: -(w - 2)*(w - 1)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19440\/67991 + 2\/9713. Which is bigger: 2244 or m?\nAnswer: 2244","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -148*d - 2812. Let g be z(-19). Solve f = -5*u - 4*f + 10, g = -u - 4*f + 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:33 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**3 + 2*m**2 - m - 2. Suppose -89*j - 23*j = -20*j + 184. Let n(v) = -3*v**3 - v**2 + 2*v + 3. Give j*n(g) - 3*a(g).\nAnswer: -3*g**3 - 4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-20))\/(19\/((-51072)\/(-126)))?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2))\/(3 + (-10)\/4). Solve 7*q = 3*q, -k*o + 3*q + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71200\/2848)\/((-5)\/(-3)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 1493205*d**2 - d - 1493200*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1368*(4 + (-2)\/3). List the prime factors of ((-1)\/2)\/(12\/f).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14298, -14296, -14294, -14292, -14290, -14288?\n\"Answer: 2*a - 14300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0629 * 0.5.\nAnswer: -0.03145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34274 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 45, -5, 0, 7 in decreasing order.\nAnswer: 45, 7, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*((-2*-1*sqrt(44))\/sqrt(4) + -1 + 2*(-5*(sqrt(110) - (sqrt(110) + sqrt(110) + sqrt(110)*-1)))\/sqrt(10)))**2.\nAnswer: -4*sqrt(11) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4763, 4752, 4767, 4820, 4923, 5088?\n\"Answer: 2*s**3 + s**2 - 28*s + 4788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0*i - 10*i)*(-5*i**2 - 2*i**2 + 5*i**2)*((-3 - 2 + 6)*(1 + 3 - 1) - 1 + 3 - 1)*(-4*i + i - 4*i).\nAnswer: -392*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 333468 to the power of 1\/2, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 9*u - 3. Let j(w) = w**3 - w**2 + 3*w - 2. Let q be j(2). What is the remainder when 19 is divided by a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -38, -3\/5, 0.2, -4 in descending order.\nAnswer: 0.2, 0, -3\/5, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - 0.2100345. Round r to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2189229280 to the nearest 100000.\nAnswer: -2189200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5 - 4\/5*c - 1\/5*c**2.\nAnswer: -(c + 1)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 1:32 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39921.36 years in millennia?\nAnswer: 39.92136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/12)\/((-1)\/(-10)*5). Let v(x) be the second derivative of -4*x + 0 - l*x**4 + x**3 + 0*x**2. Find the second derivative of v(a) wrt a.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/((-4)\/(-24)*3). Find the common denominator of ((-10)\/(-4))\/(2\/o) and (-58)\/9 + 6 + -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 8*g - 9*g + 6 = 0, -3*g + 12 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41 - 7\/4*h**2 + 144*h.\nAnswer: -(h - 82)*(7*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.089 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*u + 18, -8 = 2*l + 3*l + u. Which is smaller: l or 2\/37?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a**3*l*r + 3*a**3*r + 3*a*r + 4*l*r with respect to l.\nAnswer: 4*a**3*r + 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 88*u - 2032. Give j(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -47151314 + 47151314 - m**3 - 4107*m + 2*m**2 in the form n + c*m + i*m**2 + q*m**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 6*w - 6. Let n be g(4). What is the third derivative of 2*m**5 + m**n - 10*m**2 - 6*m**5 wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.98 - -0.02. Let w(s) = -s**2 - 3*s + 11. Let q be w(-5). Let z be (1 - 1) + 0 + 28\/126. Which is the closest to y? (a) q (b) z (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10 - 2*a - 5 - 1 + 0*a. What are the prime factors of n(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20301 - 18197.8. Round m to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 - 36*s - 24. Suppose 10*x - 100 = 110. What are the prime factors of b(x)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 555001 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 6*z - 2*z + 20, -z = -c - 4. Which is smaller: c or 2\/41?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 94*x**2 - 4*x - 4. Let q(u) = u + 1. Determine j(m) + 4*q(m).\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 1\/4*z**4 - 27 + 19\/3*z**3 + 13*z**2 + 40*z. What is the hundreds digit of r(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/11? (a) 0.2 (b) -64 (c) 0.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.176 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2334841 is divided by 166772.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 1761 = -6*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 12*k**2 - k + 6. Let a be b(12). Let y = a + 15. Let h = -4 + y. Solve -f + x = 8, -h = 3*x - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4353161 + 4?\nAnswer: -4353155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*t - 64 = -9*h, -2*h + 31 = t. Solve -53 = h*f - 39 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -87*g**3 + 11*g**4 - 69*g**3 + 24*g**2 + 106*g**3 = 0?\nAnswer: 0, 6\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 times -22?\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674792223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20548350 to the power of 1\/2, to the nearest integer?\nAnswer: 4533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3972906 by -126.\nAnswer: -31531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1111821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 8*k + 9. Let o be q(8). Let u = o - 3. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f**3 - 61*f**3 - 74*f**3 + 4*f**3.\nAnswer: -183*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1612*z**2 + 16*z + 4*z + 69*z + 19*z + 1616*z**2 - 792.\nAnswer: 4*(z - 6)*(z + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -124 + 133. Find the second derivative of 88*n - 2*n**2 + t*n**2 + 29*n**4 - 4*n**2 wrt n.\nAnswer: 348*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b + 3*b - 9*b + b to m*b + i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*v - 226*v = -48. Solve -4*p - 5*b - 4 = -9*b, -5*b + v = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/(17 + -35 + 16)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10398 + -6227021853.\nAnswer: -6227011455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 564543.11 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 + 2 = 0. Suppose -1 - t = -l. What is the remainder when 9 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -467 = 39*d - 38*d. Let y = 967 + d. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2617732108 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -0.16, 5, -3, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375 - 378 = -5*x - 4*d, 4*x + 5*d = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -1154e0?\nAnswer: 1154e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l + 37 - 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 72855640?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -610? (a) -0.5 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.0381\nAnswer: 0.01143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 - -1.95. Let n = 155 + -152. What is the closest to u in n, -2, -2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -10 - 7 - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, 3, -0.08, -91?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 65*l*o**3 + 10002*l*o**2 - l*o + 392*o**3 + 14372 wrt l?\nAnswer: 65*o**3 + 10002*o**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/128969 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let m = 2200 + -2202. What is the closest to 0 in m, -0.5, -1\/30, b?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101663?\nAnswer: 101663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anyx when four letters picked without replacement from nannfxy.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -201, -1, -4, -17, -333, -5 in descending order.\nAnswer: -1, -4, -5, -17, -201, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*v**2 - 4 + 7*v**2 + 2 + (-2*v - 2 + 2)*(3*v - 2*v + 0*v).\nAnswer: -6*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000378968 rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8087155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 460 + 40. Let s = 66 - l. Suppose -59 = -s*k + 1. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g + 36. Let z be -1 + 1 + (27 - 7). Let r(s) = -z + 2 + 8 + 8. What is -36*r(t) - 2*w(t)?\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -67408124 divided by 76?\nAnswer: -886949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - p**2 + p + 30. Let d be k(0). Let q = 60 - d. Suppose 4*f - 8*f - 5*s = -33, -2*s = 4*f - q. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1aa567d (base 14) in base 13?\nAnswer: -29abb40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/81 - (-988)\/6. Let r = 300 - c. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2.7, 4, 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*g + 97*g + 4*s + 40 = 0, 4*g - 12*s + 108 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b2 + -1?\nAnswer: 3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 10:13 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 2. Suppose 3*j = f - 140, 5*f + 0*f - x*j - 661 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-320)*-5*6\/(-42)*-92\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8355 - 8321. What is the greatest common factor of 2686 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -102, -117, -150, -207, -294?\nAnswer: -417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9947299 years to months.\nAnswer: 11.9367588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/76 and -89\/164.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 731880.852 and -0.1.\nAnswer: -73188.0852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-1\/10)\/v*v))\/v*v*v**(-13\/2))\/(v\/v**7*v)**(-2\/187) assuming v is positive.\nAnswer: v**(-5099\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/5*(-6)\/(-9). Let u = 0.32 - 0.52. Let w = -2.2 - u. Which is the third smallest value? (a) w (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 5*j. Let d be w(4). Let p = -6 + 6.3. Let n be (-1)\/3 + (-3)\/(-63). Which is the closest to n? (a) d (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-24))\/(18\/(-1026)*-19)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000050556 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2295 - 751. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -367797, -367800, -367797, -367782, -367749, -367692, -367605?\nAnswer: -367482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 15. Let m(a) = 15*a - 15. Let d(r) = 1. Let i(t) = x*m(t) + 3*d(t). What is the first derivative of i(b) wrt b?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*v + 3592944 - 464*v - 7185894 + 3592950.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -2 - (-3 - (1 + -9))) + -21.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97049 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 12*d**2 - 6*d + 16. Let x be y(14). What is the highest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + (1*sqrt(1539))**2 + 0.\nAnswer: 9*sqrt(19) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 282b5 (base 12) to base 15\nAnswer: 1179b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 3*q**2 + 3*q. Let x be r(2). Suppose 0 = -4*y + 5*w - 45, -5*y - x*w - 119 = -38. Let l = -11 - y. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 14710*j - 4. Let s(d) = -9806*d + 3. Give -5*o(b) - 7*s(b).\nAnswer: -4908*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*j**3 - 10*j**2 + 10*j**2 - 20*j**2 - 92*j**3.\nAnswer: -59*j**3 - 20*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-19)\/(7980\/60)*742\/(-6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pppeeezp?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 3*u + 11862 = -6*s, 4*s - 11934 = -9*u. Calculate the smallest common multiple of s and 90.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 + 57*j**2 + 580*j + 924 = 0. Calculate j.\nAnswer: -7, -2, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1084 divided by -4\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -43. Let g = -35 + 51. Solve -4*y - g - v = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21431.811 months?\nAnswer: 178.598425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -487, -802?\nAnswer: -1117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000067642458 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-5 - -4 - -1). Let b = 2 + y. Factor 1\/4*l**2 + 0 - 1\/4*l**3 - 1\/2*l**b + 0*l.\nAnswer: -l**2*(l + 1)*(2*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -8 - (2 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose 4*h - 5*n = -3*n + 660, -4*h + 4*n + 652 = k. What are the prime factors of h?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + 2 + 674 + -673?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27063878 - 5\nAnswer: 27063873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8844636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*k**3 - 208*k**3 - 199*k**3 - 190*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2 + (0 - 1191)\/(-3). Suppose -y = 2*g + 113. Let v be (-12)\/g*(27\/(-6) - -2). What is the biggest value in v, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146106235 to the power of 1\/2, to the nearest integer?\nAnswer: 12087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 12. Let m be (-4)\/c*(6 - 0). What is the common denominator of -101\/6 and m\/48*(1 - -92)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 3033950*i**2 + 460245664060*i - 920479192360.\nAnswer: 5*(i - 303394)**2*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m. Let u(t) = -107*t + 1926. Let y be u(18). Let s(z) be the first derivative of 0*z**2 + 32\/3*z**3 + 1 + y*z. Calculate g(s(i)).\nAnswer: -64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 + 5*p - 1. Suppose 4*w = -w - 15. Let q = w - 1. Calculate m(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-3))\/((-63)\/6804*-36).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 8:37 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 8. Suppose 4*y + 0*m = 5*m + 17, y + s*m = 0. Suppose -y*j + 5*j = 262. Is j a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:35 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, p: 1, n: 6, k: 7}. Give prob of sequence prkr.\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(110)\/sqrt(5))\/sqrt(2).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -3, -2\/15, 465.2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -335825 not equal to -335872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - w**3 - 47 + 25 - 942*w**4 - 883*w**4 to the form l*w**2 + r*w**3 + v*w + m + a*w**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -483 - -15?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*z - 1002 = 3670 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2482 and 13598878.\nAnswer: 2482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 426542903 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 154.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, n: 1}. What is prob of sequence nf?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.93207 weeks to milliseconds.\nAnswer: 15078915936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217273654.\nAnswer: 2, 13, 8356679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1)*1 + (170 - 39 - 88).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w + 148. Let y be d(11). Suppose 0 = y*o - 58*o - 18408. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1582*a. Let p(w) = -6*w - 3. Calculate m(p(r)).\nAnswer: 9492*r + 4746","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63495916, 63495911, 63495902, 63495889?\nAnswer: 63495872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/3955524 and 13\/1977762.\nAnswer: 3955524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (259\/(-777)*(-20)\/(-6))\/(2\/18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 206576801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 - 1 + (3 + 0 - 1)*(-1 - 4 + 3) + 3 + 1 - 5 + 1 + 1 - 4 + 6 - 2 - 2)*(633*k - 291*k - 194*k) to the form b*k + m and give b.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -82.5?\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 123101112031?\nAnswer: 123101112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w - 10. Let r be y(1). Sort -5, 2, r in descending order.\nAnswer: 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - -182?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c + 5. Let k be 1\/((-22)\/10 + 2). Let h be g(k). Let i(q) = -q**2 + 2 + 0*q**2 - 5. Calculate i(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 162*n + 164.\nAnswer: -2*(n - 1)*(n + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p - 77*p + 203 + 426 = 0. Solve -47 = p*r + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4\/11 + 2*u**3 + 1334*u**2\/11 - 5590*u\/11 - 6900\/11 = 0 for u.\nAnswer: -23, -1, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 10*c - 11*c. Suppose 0*s - 4*s - 2 = -2*x, 3*s + c*x = 5. Let i = -1 + 1.3. What is the biggest value in s, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -28. Solve 2*s - 14 = 4*x, -5*x - 10 = 3*s - d*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*m**2 + 137*m**2 + 138*m**2 - 417*m**2.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24399285 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 2*h + 5*h - h - 2 - 5. Let w be l(5). Which is the nearest to w? (a) -4 (b) -3\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684503.\nAnswer: 23, 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {h: 4, z: 1, o: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - 4 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 + 20)*(49\/15 - 2). Let j = c + -12. Suppose x + 3*x = 2*s + 20, 3*s = x - 5. What is the biggest value in -2\/17, 0.3, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 11*d - 75. Suppose 4*t - 5*j = -28 + 112, -12 = -t - j. What is the units digit of w(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 13*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 266130.077 - 266281. Let a = -151.3497 + 0.3497. Let w = a - q. What is w rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-66)\/(-78) - (-386)\/(-26). Let b be ((-324)\/u)\/((-6)\/(-40)). Suppose 0 = k - 4*k + b. 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: Sort -1, 1, -65, -2 in increasing order.\nAnswer: -65, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*m = -a, -3*m + 2 = a. Let i be (-9 + a + 2)*-4. What is the units digit of ((-12)\/(-8))\/(6\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 + -346\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1585.88 + 11171795?\nAnswer: 11170209.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 + 256 = -3*h - 2*b, -2*h - 25 = 3*b for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - 4*n)*(-10 - 6*n + 10 + (-n + 0*n + 0*n)*(-5 + 2 + 0) + 36*n + 3*n - n + 2*n - 2*n + n - 2*n - n + 4*n).\nAnswer: -74*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 89708486765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 6. Calculate the remainder when 23 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*((-85)\/45 + 2)*(-9)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 85644.\nAnswer: 428220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 77.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 + 109*u**2 - 30*u - 1504. Let m be g(-27). Suppose -2*r - 3*r = -1925. Calculate the highest common factor of r and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 675648?\nAnswer: 675648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 379823822 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*v + 12. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2 = -k. Let f(h) = k*h**2 + h**2 + 2*h - 7*h. Let n(x) = -4*x**2 + 6*x. Let t(u) = 5*f(u) + 4*n(u). Determine t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (9 + -30 + 11) - 6 - (-68 - -5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o - 33*o + 24*o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 3*p**2 - 3*p + 0*p**2 + 0*p**3. Suppose -4*y + 3 = -c, -4*y - 7 = -9*c + 6*c. Give s(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 3*n**6\/40 + n**5\/120 - n**4\/12 - 5*n**3\/6 + 8*n**2. Let d(f) be the first derivative of y(f). Does 22 divide d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:39 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = -82 + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3200)*-1)\/sqrt(10))**2*2.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285 + -263. What is the remainder when 46 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 1. Let d(y) = y + 1. Let b(i) = -4*d(i) + 6*k(i). Let z be b(3). Let u = z - -3. Solve 4*j + 3 = -3*a + 2*j, -5*j - u = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18141, 36283, 54425, 72567, 90709?\nAnswer: 108851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.05, 286, -4\/7, 0.2, -3, -0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 27*p**3 - 75*p**2 - 73*p - 24.\nAnswer: -(p + 1)**3*(p + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1138*s - 1135*s + 14*s**3 + 26*s**3 + 13*s**4 to the form l*s + z*s**3 + n + y*s**4 + i*s**2 and give z.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001060687727 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**6\/6 - b**5 - 5*b**4\/4 + 10*b**3\/3 + 10*b**2 + 73*b. Suppose i(l) = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -39*o - 579. What is the remainder when 81 is divided by a(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 - 0.6. Let f(t) = -2*t**3 - 14*t**2 - 11*t - 4. Let h be f(-6). Let u be (21\/10 - 2)\/((-4)\/h). What is the third biggest value in u, o, 5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 3. Let d be i(4). Which is the nearest to -2? (a) d (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -513*-45\nAnswer: 23085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 4*y - 5. What is m(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 488*q - 1452*q - 643*q - 777*q to x*q + m and give x.\nAnswer: -2384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7c (base 14) to base 6.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/11 (c) 0.21 (d) -0.5 (e) 796.1 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/200)\/(-1*(-2)\/(-10))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 25 + 11. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*6*((-1*(sqrt(300) - (sqrt(300) - 2*sqrt(300))))**2 + -1 + sqrt(300) + 2 + sqrt(300) + -6*((sqrt(300)*1)**2 - sqrt(300)) + sqrt(300)*-1 + -3).\nAnswer: -21672 + 2520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**5 - 52*m**4 - 47*m**3 + 53453*m**2.\nAnswer: -180*m**2 - 1248*m - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994*a + 43414 = -256*a - 12836 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 184269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/7)\/((-180)\/70).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 35703*v**2\/2 + v\/4 - 35703\/2.\nAnswer: -(v - 71406)*(v - 1)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 423191, 48, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 18083.\nAnswer: -2\/18083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258 a factor of 94055455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.49 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t**2 + 2*t + 2. Let w be k(-2). Let v = 18 - 4. Suppose f - 1 = 0, -1 = -3*l + 3*f + v. Calculate the highest common divisor of w and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 58*s**2 + 24*s - 2. Is h(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i = 42*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-1))\/(-3)*-11. Let n = -8 + t. Let u(q) = 4*q**3 + 14*q**2 + 14*q. Let j(a) = -a**3 - 3*a**2 - 3*a. Calculate n*u(l) + 14*j(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 0, -5 = 5*w - 2*w + 4*u. Let d(o) = -71*o**3 - 70*o**2 + 4*o - 8. Is d(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253015, -506033, -759051?\nAnswer: -1012069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/50, 218, 0.015?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -482b92 - 22?\nAnswer: -482bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222010 - -1002210?\nAnswer: -212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 4*o**2 - 2*o. Let l be c(2). Solve -2*k = 3*v - 4*v - 3, -3*k = -l*v + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l + 1 - 5*l - 1.\nAnswer: -19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -4*4*sqrt(117)) + sqrt(117))\/(2*sqrt(576) - sqrt(9)).\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Let q = 16.8 + -17. What is the third smallest value in v, q, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + -1.8. Let m be (1\/((-2)\/(-3)))\/1. Let j be (-216)\/16*(-4)\/6. Put m, l, j in increasing order.\nAnswer: l, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*l**3 - 4)*(-35*l + 19*l + 21*l) + 2*l**3 - 2*l**3 - 2*l**4 in the form r*l**2 + c*l + x*l**4 + o*l**3 + m and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1247547321 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, 9, 35, 65, 93, 113, 119, 105?\n\"Answer: -b**3 + 11*b**2 - 10*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 613, 659, 707, 757, 809?\n\"Answer: w**2 + 43*w + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {h: 4, v: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 511436521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xonoxyx. What is prob of sequence ox?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045 take away 0?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176 - 75 + 5*l**2 + 3904*l - 3904*l - 7*l**2 to the form x + j*l + m*l**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -4\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/711, -0.1, 0, -0.5, -1.6.\nAnswer: -1.6, -0.5, -0.1, -2\/711, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186392845 to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnz when three letters picked without replacement from {h: 10, z: 1, n: 7}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40898\/(-75504) + ((-6)\/(-9) - (1 - 1))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 20460. Let g(b) = 2*b. What is s(g(k))?\nAnswer: 2*k - 20460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -3, 1, 3, -73050, -2 in ascending order.\nAnswer: -73050, -3, -2, 1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1133 - 1136. Let g be (-2*2\/28)\/(-1). Which is the third smallest value? (a) g (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9473 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55a5 + 2?\nAnswer: 55a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - ((528 - 511) + 0 + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4697 - 1723. Let l = -8163341\/6 + 1363792. Let x = l - r. What is the common denominator of x and 14\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -385, -1544, -3467, -6148, -9581?\n\"Answer: a**3 - 388*a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etttegntgtgnggetg. Give prob of sequence ggen.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -e7e851?\nAnswer: -e7e84f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5622 divided by -1874\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1722*g - 297*g + 103 - 103 in the form f*g + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let c(g) = 6*g**2 - 6*g**2 - g**2. Determine z(c(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6 + 5*q - 2 - 2*q + 2 + (-2*q + 3*q + q)*(-1 + 2 + 1) + (1 + 4 - 3)*(0*q - 4*q + 3*q) + q + 5*q - 5*q to f + v*q and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 10. Let d be (-9)\/(-12) + (-58)\/(-8). Let j be f(d). Differentiate -i**2 - j*i + 2 + 2*i wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.065966 and 0.5?\nAnswer: 0.565966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 293 and 4544723?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 0.3. Let g = 97\/24 - 33\/8. Let q = 2.349 - 0.349. What is the closest to -2\/7 in g, k, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15 - (1 - 3)) + 5\/(-5). Let w be l\/(-77) - 140\/44. Put 31, w, 0 in increasing order.\nAnswer: w, 0, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 184*u**2 - 120*u - 2117. List the prime factors of d(-17).\nAnswer: 29, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-52)*1616\/(-12120).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 4*l - 3, 0 = l - 3 + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36826 = -14*f - 7874. Is f a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 2417.1.\nAnswer: 2416.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9 - -1)*26\/65. Suppose 2*k + i*z - 3*z = 76, k = -5*z + 47. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - -1) - (-3 + 6 + -20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -994 - 870 + 1864 - 4*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -516404 and -2.\nAnswer: 1032808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -6. Is -39 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*v + 243. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 427117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161004 (base 15) to base 13.\nAnswer: 2b458a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 3*o - 6*o + 97 - 97 - 30*o + (5 - 6 + 0)*(2*o - 2*o + o))*(-o**2 - 2 + 2 - 2*o).\nAnswer: 34*o**3 + 68*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 127 - -11461260?\nAnswer: 11461407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 16, b: 2}. What is prob of picking 1 b and 1 i?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 801 + -753. What is the greatest common factor of 168 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 427 and 25193?\nAnswer: 25193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 2 - 3)*(0 + 3 - 2) + 4 - 2 - 3 + 16 - 3 - 3)*(37*c + 5 - 5) in the form h + v*c and give v.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10887 - 10880. Solve 0 = -s*h - 288 + 281 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 188*x - 31*x - 18*x. Let v(w) = w. Give q(v(g)).\nAnswer: 139*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Let r(o) = 5*o**3 - 2*o**2 + 10*o. Let i(y) = -14*y**3 + 5*y**2 - 29*y. Let a(m) = -6*i(m) - 17*r(m). Determine a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*m - 5*m = 4, -5*k + m = 17. Let l(w) be the third derivative of w**4\/12 - w**3\/2 + 2*w**2. Determine l(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5)\/k**(-1\/3))\/((k**(-11)\/k)\/(k\/k**(1\/5))) assuming k is positive.\nAnswer: k**(188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-276)\/(-16))\/(-2 + (-38)\/(-16)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = 2*m + 11, -3*m = 2*p - 11. Suppose -p*s - 16 = 0, 3*i = 4*s + s + 23. Suppose 3*o - 1 = -4. What is the closest to 2\/3 in i, o, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85781822 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346.86 - -346.9. Let v = -2 - -1. Which is the closest to 0? (a) t (b) 5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7593062 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 3*s. Let f be x(-3). Let i = 7 + -10. What is the nearest to f in 0.3, -5, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870393 at most 1870392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/397, -2, -2\/7, 2\/7, 2?\nAnswer: 1\/397","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1399.851 decades?\nAnswer: 13998.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 1. Let o be c(-2). Let i(q) = 20*q + 71. Let g be i(-33). Let f = g + 602. Calculate the greatest common factor of o and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62640 >= 62642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 11172.9\nAnswer: 201112.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 + -144 + 1 + -17 - (13 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10604 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from edpdtaadd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-10) - 242\/(-55). Let w be -183570*(2500\/15)\/y. What is w rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 93 + 50 + 1374*m.\nAnswer: 1374*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*6\/(-18)*(-300)\/(-30).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**3 - 2*k**3 + 1 - 2 + 4*k**2 - 3*k**2. What is the second derivative of y(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 808 by 101.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 31.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3593 + 3914. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 914 = 4*r - b - 2*b, -4*r = -4*b - 912. Let h = r + -140. Calculate the remainder when h is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 2*x**5\/15 - 2*x**4\/3 + 68*x**3 - 47*x**2 - 6*x. Find the first derivative of f(q) wrt q.\nAnswer: 16*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 19 + 6*c)*(3*c + 4*c + 3 - 5*c).\nAnswer: 12*c**2 + 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 250446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 75\/(-675)*(-2 + -1). What is the closest to s in -2\/5, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from {n: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-15\/8)*k\/(k**(-4\/7)\/k)*k**(-6)*((k*k**1\/k*k)**31)**(-41) assuming k is positive.\nAnswer: k**(-142439\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 4, 2\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -412771 + -104073. Let n = c - -86844. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggik when four letters picked without replacement from giggkgggigggigg?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 360 - 350. Let z(n) = 4*n + 11*n - f*n. Let o(y) be the third derivative of -5*y**4\/12 - y**2. Give z(o(k)).\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/(-20) + (-9)\/12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1017*g + 46750. Calculate u(46).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65\/((-30)\/(-6)) - -2. Solve 5*u - b = 19, -4*u + b = -0*u - d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0216642 millilitres to litres.\nAnswer: 0.0000216642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 101. What is h(31)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(91)*-6)\/(-1*(sqrt(7) - sqrt(63))).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/40*-5*1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14179360*g**3*x**2 - g**3*x - g**3 - 2*g**2*x**2 + 5*g**2*x + 7*g**2 + 35*g*x**2 - 30*x**2 wrt g?\nAnswer: 85076160*x**2 - 6*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-184)\/42*6510\/(-620).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Suppose -13*v + 18*v = 105. Is t\/(-3) - (-3766)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -0.6 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 372687542?\nAnswer: 372687541.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 8:44 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 - 326*n - 51. Calculate q(38).\nAnswer: 557","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 6*l**2 + 21*l + 47. Let q be u(-2). Let o(c) be the first derivative of c**3 + 2*c**4 + 0*c + 3\/5*c**q + 6 - c**2. Solve o(j) = 0.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/36 and -17\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2052245 divided by -5.\nAnswer: 410449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*f = 12, i + f - 192 - 166 = 4*f - 369 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19440496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26060 - 26195) + 118 + -1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -631*c + 1497. What is the remainder when t(-3) is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 58*n**3 - 13*n**2 - 13*n - 14. Determine i(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*z - 22 = 0, z - 5 = 5*f - 3*z. Suppose f*p - 8 = 2*p - o, 0 = -5*o - 10. What is the smallest common multiple of p and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.16 less than -2.1829?\nAnswer: -20.3429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in 5, -3\/8, -2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**4*p)\/p)\/(p*p*p*p**(-1\/3)*p*p)*p**(-7)*p**(2\/3)*p*((p**4*p*p*p)\/(p\/p**5))\/(p**1*p\/p**1) assuming p is positive.\nAnswer: p**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96, 110, 138, 186, 260, 366?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5203)\/(-129)*(-54)\/(-384). Is 7 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-4))\/(42\/(-224)). Factor u + 7\/4*u**i - 19\/4*u**3 + 2*u**2 + 0.\nAnswer: u*(u - 2)*(u - 1)*(7*u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 + b - 1. Let g be i(2). Suppose -k - g = -75. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(0 - (-4)\/4). Suppose -2*k = 2*r, k + 2*r + o = -1. Solve z = 4*c - 13 + k, -8 = 4*c + 4*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-77)\/((-160776)\/54)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 34 = 2*c - 8, 26 = -8*u + 642*c - 644*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -285382, -570752, -856122?\n\"Answer: -285370*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**3\/3 - 10. Let a(n) = 17*n**2. What is a(c(p))?\nAnswer: 17*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -144*n + 152*n - 38 - 3*n**2 - n**2 + 5*n**2. Let w be y(-13). Let j(b) = -7*b. Let a(p) = -48*p. Give w*j(m) - 4*a(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 90782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4823 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -3. Suppose -4 + 0 = -3*o + 2*p, p - 1 = 0. Solve -q = -o*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 28*y**2 + 2*y - 65. Suppose -h = 2*s - 6, 4*s = -5*h + 47 - 17. Is t(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 1 + 1)*(2 + 0 - 1) + 18 + 65*c - 18 + (-3*c + 5*c - 4*c)*(2 - 9 + 3) to the form r*c + s and give r.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)*((i\/((i*i**1)\/i*i))\/i)\/i)\/(i*i\/(i*i**2)*(i*i**6*i*i*i)\/i)*i**(3\/2)*i*i**(1\/4)*(i**(-1\/8)*i)\/(i\/((i*i**(-1\/4))\/i*i)) assuming i is positive.\nAnswer: i**(-69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:00 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*m**2 + 106*m**2 - 15*m**2 - 5*m**2.\nAnswer: 173*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20568 by 142.\nAnswer: -10284\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from zcozagzcgzaaccajzzjz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1271505 and 22910?\nAnswer: 2543010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1871*b**2*x**2 + 107*b*x**2 + 4*x**2 + 13*x + 205 wrt b.\nAnswer: 3742*b*x**2 + 107*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 5*v - 4*q, 3*v - 4*q - 293 = q. Let p = 540 + -566. Let b = v + p. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (4 - 2 - 4). Suppose 158 - 80 = 3*m. Suppose 0 = -0*c - f*c + 3*l + 6, -5*l = 4*c - m. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = -2*p - 4, -3*p + 9 = 5*r. Sort -4, r, 0.3, 0.234 in descending order.\nAnswer: 0.3, 0.234, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*p + 4536 = -306*p - 302*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-2\/7)*p\/(p\/(p*p*p*p**0)) assuming p is positive.\nAnswer: p**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x. Let s(f) be the third derivative of 0*f - 1\/24*f**4 - 4*f**2 - f**3 + 0. Give s(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (4 + -9) - -47?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 6*o**2 - 82*o - 1057. Give u(-10).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 13 - 3)*(-2*k + 0*k + 3*k) + 0 + 0 + k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4238, 4035, 3832, 3629?\n\"Answer: -203*c + 4441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -3, 6, 2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 10. Let s(i) = -1. Determine q(o) - 6*s(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -448*r - 3580. What is f(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45390, 181908, 409564, 728358?\n\"Answer: 45569*h**2 - 189*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.87459 to one decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 2*d**4\/3 + 4*d**2. Let f(n) = n. Calculate f(c(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13523, 54059, 121573, 216029, 337391, 485623, 660689, 862553?\nAnswer: 1091179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/137, 3, 4, 192, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279127647.\nAnswer: 3, 10338061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**4 + 3*x**3 - x - 3*x**4 + x**3 in the form b*x**2 + u*x**4 + l*x**3 + s*x + d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(900) + sqrt(36) + (3*sqrt(216))\/sqrt(6))\/((-5*sqrt(54)\/sqrt(2))\/(sqrt(81)\/(sqrt(18)\/sqrt(2) + sqrt(9)))).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16 - 1260\/80) + (-333)\/24*-18. Is 264 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2\/4 - 11513*m\/4 - 31691 = 0.\nAnswer: -11, 11524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/7 + 43924*q**3\/7 + 310204008*q**2\/7 + 128650156688*q + 935037189598912\/7.\nAnswer: 2*(q + 3418)**3*(q + 11708)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + -6*sqrt(1088)*-1))**2.\nAnswer: 3456*sqrt(17) + 1410084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001050809 rounded to 7 decimal places?\nAnswer: -0.0001051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(3))\/sqrt(7) + sqrt(800) + -3.\nAnswer: -3 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 187*w**2 + 919*w - 3588. Determine y(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:32 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {m: 3, c: 5, p: 3, b: 4, r: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -5, 0.02, -0.7, 5\/2 in ascending order.\nAnswer: -5, -0.7, -0.5, 0.02, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/5)\/(s*s**(6\/11)\/s)*(s\/(s**20\/s))\/s**8)**(-2\/11) assuming s is positive.\nAnswer: s**(2854\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1137399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 1625 + m - 2*m.\nAnswer: -2*m - 1625","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 4. Let w be z(3). Let o(b) = 35*b**2 + 9*b - 1. Is o(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41.00026 - 41. Round u to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 10 - 2) + 3 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:08 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i = -14. Let x = i - 14. Suppose 68 = 2*a - x. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 + 8*c**2 - 122*c + 160. What is d(5)?\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**17*o))**10 assuming o is positive.\nAnswer: o**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1262 + -170889\nAnswer: -169627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/1*(-11)\/(33\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514 a factor of 27400372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 7. Let y be w(-5). Let u be y*(0 + 1) - -38. Suppose -2*b = b - u. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}