diff --git "a/data/dm_maths/full_data_1/10374_11255.jsonl" "b/data/dm_maths/full_data_1/10374_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10374_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n = 0.14275 - 0.59275. What is the third biggest value in n, 3, 2\/7, -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20986\/(-35) + 2\/(30\/9). Let q = 990 + i. List the prime factors of q.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -55*r. Let d(y) = 5453*y - 15. Calculate x(d(q)).\nAnswer: -299915*q + 825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 19. Let x be a(-23). Put -2, 0, x, -1 in descending order.\nAnswer: 0, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13*i - 140. Let g(o) = -416*o + 4550. Let p(x) = 2*g(x) + 65*t(x). Let f(k) = -129*k - 2. Give f(p(y)).\nAnswer: -1677*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**3\/11 + 10584*j**2\/11 + 6223392*j\/11 + 1219784832\/11.\nAnswer: 6*(j + 588)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 60*h**2 + 6*h + 5. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2829*y**3 - 2*y**2 + 3*y - 213889?\nAnswer: 8487*y**2 - 4*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -2*g**5\/5 + 22*g**3\/3 - 453*g**2\/2 - 264. Find the second derivative of p(q) wrt q.\nAnswer: -24*q**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 4*d + (3 - 1 - 4)*(-1 - 2*d + 1) - 38*d + 36 - 36.\nAnswer: -30*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -16 + 6. Let x be (1 - 0)\/(2\/12). Suppose 2*g = -f + x. Solve g*k - 16 = 5*s, 3*k - 3 = -5*s + 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1486 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/7, -1\/4, -1, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33061370?\nAnswer: 2, 5, 3306137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 6480540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63416 is divided by 1626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 9 = -a - 4*q, 5*q + 1 = 3*a. Solve -a = k - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20032, -40069, -60106?\nAnswer: -80143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Suppose c = -s*c. Suppose -6*b + 2*b + 124 = c. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 18265 - 32839 + 14574.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 - 13*q**3 + q**3 + (-1 + 1 - 1)*(6*q**2 - 6*q**2 + 3*q**3) to the form t*q**2 + c + y*q**3 + k*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, v: 9}. Give prob of picking 2 v.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -40\/403 (c) 3\/7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 99.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from laaaaaafaaaaa. Give prob of sequence alaf.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 + w**2. Determine g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184594 a multiple of 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55517655*d**2 - 35235648 wrt d?\nAnswer: -111035310*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**4\/12 - d**3\/6 + d**2\/2 + 2*d. Let y(t) = 2*t**2 - 3*t + 1 + t**2 + 0*t + 1. Determine -m(n) + y(n).\nAnswer: 2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -3, 30042 in decreasing order.\nAnswer: 30042, 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2 + 24*f - 53. Let w be q(8). What is the greatest common divisor of w and 5137?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -23.16. Let u = a - 0.16. Let z = u + 9. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0293 and 4.57685.\nAnswer: -0.134101705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -19dd (base 16) to base 14\nAnswer: -25ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005625187 rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/37, -5, -2, -0.018 in ascending order.\nAnswer: -5, -2, -0.018, 3\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -5350*n + 5342*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/((-1*sqrt(72))\/sqrt(9)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 20. Let p(z) = -z - 3. Let i be p(0). Calculate the remainder when 16 is divided by i*(-4)\/(k\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 3066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (12 + 0 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89\/55 + -20\/11. Suppose 15 = 2*x - 5. Let z = 8 - x. Which is the second biggest value? (a) -2\/11 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(28) + (-2*sqrt(4200))\/sqrt(6) + -5.\nAnswer: -10*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412292 and 236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184705 + 315120. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -21*q - 15. Let w be 6\/1*3\/(-1). Let l(o) = -o - 1. Let x(i) = w*l(i) + n(i). What is the derivative of x(s) wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 18, f: 1}. What is prob of sequence efee?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/441 and -103\/12018888.\nAnswer: 84132216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1616641 * -2.\nAnswer: -3233282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/4320 and 67\/138880?\nAnswer: 3749760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(28\/((-12)\/(-3)))\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -4 (b) -2\/9 (c) -5 (d) -77 (e) 1 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 15 = -4*b. Suppose 5*h = b*a - 2298 + 16978, -a + 2926 = h. Suppose 3*n + 0*n - h = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 73, 86, 125, 208, 353?\n\"Answer: 3*u**3 - 5*u**2 + 7*u + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19025 by -3805.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 - (-26)\/(-78). Sort -4, t, 72 in increasing order.\nAnswer: -4, t, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/32 and 151\/136728.\nAnswer: 546912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -342 - -1028\/3. Find v, given that -r*v**3 - 1\/3*v**4 + 2\/3*v + 0*v**2 + 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -175, -327, -471, -601, -711?\n\"Answer: a**3 - 2*a**2 - 153*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1)\/(((-29 - -3) + 20)*-23).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182694 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -1884 + 1996 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4080 - 7602 = 2244*p - 462 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -5.4\nAnswer: -172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 7. Let y = 1858 - 1854. Solve r*u - 15 = -q, -3*u = -2*q + y*q - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/3 (b) -0.1 (c) -8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 1083 = -a, 5*l - 15 = 2*l. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 157. Let k be 5 - 0 - (-128 - (-135)\/15). Let d = k - y. Sort d, -2, -1, 0.\nAnswer: -2, -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -305*b - 383. Is y(-7) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-183)\/(-12) + (-15)\/60. Solve -q*d + 18*d = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5258 + 4794 - 10053 - 5*y.\nAnswer: -5*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 43, 104, 183, 286?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**3 + s - 2. Let q be p(2). Let r = 7 - 3. Suppose 1 - r = -j. What is the greatest common divisor of j and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3211*h**2 + 9 - 3220*h**2 - 9.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -8. Let t = f - -9. Factor 3\/2*u**4 + 1\/2*u**2 - 2*u**3 + 0*u + t.\nAnswer: u**2*(u - 1)*(3*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011789575 to 7 dps.\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 4*t - 1. Let x be (5\/2)\/(2\/(-4)). Let i be a(x). Suppose -13 = -5*z + 3*k, i*z = -0*z + k + 16. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.19 (b) -2\/9 (c) -56 (d) -1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 206.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 - 1. What is the remainder when 1 + 75 - (7 - 4) is divided by z(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + -8 + 18 + 23 + -23\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**3\/4 - 100*w**2 + 195*w = 0. What is w?\nAnswer: 0, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 15 + 37 + 2*u - 14. Determine b(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**38\/(l*l*l**(-35)) assuming l is positive.\nAnswer: l**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767736 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + 4. Calculate the least common multiple of s and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5394867481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -318*z - 1. Let s be p(-1). Suppose 1567 = 6*o - s. What is the common denominator of -151\/18 and o\/24 + 1\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 136*s**2*x**3 + 12*s**2*x - s*x**2*y + 3*x**3*y - 5*x**2*y - 2*x wrt x.\nAnswer: 816*s**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 25.2. Let a = -17 + -11. Let c = -27.91 - a. What is the second biggest value in c, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let v(n) = 529*n**2 - 1. What is v(o(d))?\nAnswer: 529*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (8300\/(-150) - -44)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/12)\/((-5)\/(-45)))\/(21\/(-28)*-58)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 6. Suppose 4*u - 9*u = 180. Let d = u + 36. Solve -2*n + f*n + x = d, -4*x + 2 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/4161)\/((-2)\/(-21)). Let g = r + -76579\/29127. Find the common denominator of g and 46\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77142876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 14*l + 32. Let v be j(12). Let k(y) = -24*y**2 + v - 5 - 3. Let q(o) = -2*o. What is k(q(f))?\nAnswer: -96*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 140776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*t - 22*t - 136. Let s(a) = 11*a - 130. What is the remainder when 219 is divided by s(t)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0)*(-24*v + 24*v - 22*v**2) + 2 - 2 + 3*v**2 to the form r*v**2 + z*v + n and give r.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1854*h - 96433 = -25 for h.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**2\/2 + 23*n - 26. Suppose 0 = a + 5*y + 10, a = -3*a - 2*y - 40. What is the tens digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -763*i**5 - 1133*i**2.\nAnswer: -45780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -81, -211, -417, -711?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7574628 divided by -6?\nAnswer: 1262438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/268 and -53\/4376?\nAnswer: 293192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*(y**15\/y)\/y))\/y*y**3*y)\/(y*(y\/y**(-4\/9))\/y)**(-5\/13) assuming y is positive.\nAnswer: y**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**3 + 18*g**2 - 5*g - 559. Let a(h) = 7*h**3 - 26*h**2 + 8*h + 838. Let p(o) = 5*a(o) + 8*l(o). Differentiate p(c) wrt c.\nAnswer: -15*c**2 + 28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p - 5\/2*p**2 + 18. What is t(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2138425 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-208*v**2 - 2062*v + 2062*v)*(3*v**2 - 4*v + 4*v).\nAnswer: -624*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 26. Suppose -2*l + t = -7. Solve -5*x - l = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 - -90. Suppose 79 = q*v + 49. Which is the biggest value? (a) -2 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let k = 14 + -57\/4. Let n = 161 + -163. What is the nearest to n in 3, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k - 3*k - 3*k - 2*k. Let t(x) be the second derivative of 1\/3*x**3 + 0*x**2 - 8*x + 0. Determine t(b(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69136)\/(-1920) - 11\/((-330)\/(-4))) + 7\/56?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39399991 = 5*b - 3*b - 3*l, b + l = 19700003. Round b to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + (sqrt(168)\/(sqrt(24)\/sqrt(3)))\/(sqrt(35)\/(sqrt(30)\/sqrt(6) + sqrt(5)))*6)**2.\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 151\/2*(-6)\/9. Let n = z - -51. Is n at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/33 (b) -1.7 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -557\/198 - -45\/11. Calculate the common denominator of s and -2*(-3)\/20*1001\/351.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juiiiajjjraajara. What is prob of picking 1 u, 2 a, and 1 j?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12690 is divided by 43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:36 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1700) + sqrt(1700)*-1) + -3)*3 + (-4 + 3 + sqrt(1700) + 1)*-3)**2.\nAnswer: 540*sqrt(17) + 15381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -2*w - 3*b, 0 = -w - b + 14 - 38 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-2\/19))**(5\/11) assuming n is positive.\nAnswer: n**(-10\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 - 4473*c**3 + 14296998*c**2 - 28576080*c = 0 for c.\nAnswer: -3053, 0, 2, 1560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-9)*169\/338. Let q(g) be the first derivative of 10 + r*g**3 - 5\/3*g + 0*g**2. Let q(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 8) in base 7?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2447 - -0.0553. Let o = -23.2 + -1.8. Let q = -27.5 - o. Put q, k, 0.5 in ascending order.\nAnswer: q, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56741, -56740, -56739, -56738?\n\"Answer: i - 56742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 + 4*q + 2. Let p be y(4). Suppose -5*t = -p - 48. Let u be (2*(-3 - 35\/(-14)))\/(1\/(-5)). Solve -u*m = -0*m - t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-12)*((p\/p**(-3))\/p)\/p)**(-2\/17) assuming p is positive.\nAnswer: p**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**0)**(-1\/48)*g**10\/g*g**(-2\/37)*g*g*g assuming g is positive.\nAnswer: g**(10571\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/32*22\/(-330)*10.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:51 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282 - 400. Let z be a\/(-38) - (1 - -2). What is the second biggest value in 0, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14333765*a. Let d(u) = 27*u. Give d(j(o)).\nAnswer: 387011655*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130025 is divided by 117?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 3. Let o = w - -4. Let x be (-9)\/3 + (o - -6). Solve 4 - 16 = -x*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.99 and -155.81?\nAnswer: 777.4919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 2, b: 2, r: 9}. What is prob of sequence hbb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + (28 - 35) + -39 + 4 - 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/((i*i\/(i*i*i*i*i**(9\/7)))\/i))**12)**(2\/21))**36)**(1\/34) assuming i is positive.\nAnswer: i**(6336\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31922709383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.011+28929\nAnswer: 28929.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 182*p - 20*p. Let v(k) = -8*k**2 - 3*k - 2. Let i(f) = 105*f**2 + 39*f + 27. Calculate p*i(r) + 27*v(r).\nAnswer: -6*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -12*j - 19. Let b be -27*-2*(-1)\/6. Let s be i(b). Let y = -17 + s. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 57049*j + 3254588401\/2.\nAnswer: (j - 57049)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z - 2 + 2)*(-3 - 2 + 4) + 4 - 4 + 2*z + 5 - 5 - z)*(3 - 5 + 3)*(-2*z**2 + 0*z**2 + 7*z**2).\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 36215 divided by -3\nAnswer: -36215\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 248\/(-504)*(-1193)\/379. Let o = w - 196\/379. What is the common denominator of o and -95\/4?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 4*t**2 + t - 3. Let c be r(3). What is the least common multiple of 1\/2 - (-2)\/4 and 2*(-2)\/2 + c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v. Let n(z) = 17*z + 6. Let w(s) = -126*s - 40. Let y(q) = 22*n(q) + 3*w(q). What is y(o(f))?\nAnswer: 28*f + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10367 + 74274. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 22, 26, 30, 34, 38, 42?\n\"Answer: 4*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1001748 and 1366020.\nAnswer: 15026220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, s: 1, w: 2, f: 1}. What is prob of sequence sfww?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 2:25 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(((x\/x**(-1\/30))\/x*x)\/x)\/x*x*x**37*x assuming x is positive.\nAnswer: x**(1171\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 58.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -40*j**2 - 3*j + 3. Let g(v) = -3441*v**2 - 259*v + 259. Let y = -13751 + 13754. Determine y*g(m) - 259*c(m).\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*s + 17, -2*d - 2*d - 5*s - 23 = 0. Let c(g) = 3*g**2 - 2*g + 1. Let o be c(3). Let u = o + d. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034 (base 5) in base 9?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 8. Suppose -p + 2*n = 5 - 20, 5*p = -3*n + z. Let x(s) = s**3 - 5*s**2 + 5*s. Let c be x(4). Solve -k = -3*k - 4*a + 18, -c*a + 27 = p*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19 - -18)\/(5\/(3 + 7)) - -7. Solve 3*d + 4 = -4*i, 98*i - k*d = 93*i - 40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 54904*a - 824460.\nAnswer: 4*(a - 13741)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((4*(sqrt(45) - (sqrt(45) + (sqrt(270)\/sqrt(6) - sqrt(45)))))\/sqrt(9) + 1))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 44370961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(27*k**2 - 17*k**2 + 19*k**2)*(2*k**2 - 4*k**2 + k**2).\nAnswer: -58*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 13247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*20\/((-55)\/(-11))*(-380)\/(-114)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoo when three letters picked without replacement from {x: 1, o: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fioioiiiooiiiof. What is prob of picking 2 o and 1 i?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 11 - 31. Suppose -28 = -4*b - u + 3*u, -3*u = -2*b + 22. Suppose n*w - 10 = b. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-3))\/((-8)\/(-84)). Let z = n + 24. Solve -3*u - 15 = -0*u, 2*u + z = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48156 is divided by 83?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -2*k**3 + 296*k**2 - 590*k. Let g be o(49). Factor -2\/11*s**5 - 8\/11*s**g - 8\/11*s**3 + 0*s**2 + 0*s + 0.\nAnswer: -2*s**3*(s + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 6*i + 9. Let k(o) = -o**2 - 7*o + 9. Let g(s) = 3*c(s) - 2*k(s). Calculate g(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**4\/22 - 2*i**3\/33 + i**2\/11 + 2*i\/11 + 12. Factor u(o).\nAnswer: -2*(o - 1)*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = x + 24, -498*i + 60 = -4*x - 503*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -21871.\nAnswer: -21874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1190*i + 3*p + 9511 = 0, 5*i = 2*i + 18*p - 61*p + 20*p + 22*p + 27 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 15*j - 20*j + 30 = 0, 7 = 2*h - j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2719376940.357 - 5?\nAnswer: 2719376935.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-1430)*(-52)\/(-4)*130\/6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-17)*j**(-24) assuming j is positive.\nAnswer: j**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 + 43. Let z = 8 + 1. Calculate the least common multiple of z and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 - 19532345*g + 39064686 = 0.\nAnswer: 2, 19532343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 5310\/(-5306))\/(8\/14). Is p <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 + 1290\/72 + (-3)\/(-12) and -127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 6*c + 2 + (-4 - 1 + 3)*(-4*c - c + 4*c) - 7*c - 3*c + 4*c)*(3*c + 2*c - 4*c) as u*c**2 + l*c + r and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**2 + 67*t**5 - 80*t**5 - 2*t + 2*t wrt t.\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 238, 391, 398, 139, -506, -1657, -3434?\nAnswer: -5957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 - -95. Let i be -2 + -3 - g\/8. Suppose 0 = -3*z + 2*s - 4*s + 13, 3*s = -4*z + 18. What is the biggest value in 2, 2\/13, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5978 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 125 - 125 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*c + 5*c. Let k = c - 2. Suppose 0*x - k*x = -2*l + 31, 3*x - 25 = -2*l. What is the smallest common multiple of l and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j*k*z**2 - j*k*z - 331*j*z**2 - 2*j*z + 129*j wrt z?\nAnswer: -6*j*k - 662*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/8 + 819*d**2\/8 - 1629*d\/8 + 813\/8 = 0. What is d?\nAnswer: 1, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -41*m**3 + 11*m**2 - 66*m + 65. Let j(y) = 41*y**3 - 10*y**2 + 60*y - 65. What is -11*j(d) - 10*p(d)?\nAnswer: -41*d**3 + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 12:40 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11763.\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38203, -37900, -37595, -37288, -36979, -36668, -36355?\n\"Answer: k**2 + 300*k - 38504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 138, 126, 106, 78, 42?\n\"Answer: -4*a**2 + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 1601 + 3519. Calculate the remainder when x is divided by 34.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-30)*-9*(-17)\/(-3). Let a(t) = t**3 + 7*t**2 + 7*t - 5. Let m be a(-6). Let f = m - q. Which is smaller: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i - 464. Let w be q(-36). Suppose 3*t + 2 = -1. Sort t, w, 22, 2.\nAnswer: t, 2, w, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2. Let j(i) = 952835*i. What is f(j(m))?\nAnswer: -5447367223350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**2 + 4*k**2)*(0 + 0 - 5*k)*(5 - 1 + 1)*(-5*k**2 + 3*k**2 + k**2).\nAnswer: 50*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346151?\nAnswer: 13, 26627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 459 + -401 + (-7 - 121)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y = -8*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/5 - 6471*x**2\/5 - 27384*x - 640332\/5 = 0. What is x?\nAnswer: -14, -7, 2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 plus -833664?\nAnswer: -833663.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1235070*p - 7908003 wrt p?\nAnswer: -1235070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-132) + (-5)\/(-33). Which is the closest to -3\/5? (a) -3\/5 (b) z (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 121, 262, 459, 712, 1021?\nAnswer: 1386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:45 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 1. Let v(p) = 319*p + 232. Calculate 696*k(z) - 3*v(z).\nAnswer: -261*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 796580224?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 0.30458\nAnswer: -0.335038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(13) + -5*(sqrt(13) + sqrt(13) + -1).\nAnswer: -9*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 14*g**3 - 17*g**3 + 8*g**2.\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1. Let s(u) = 6*u**2 + 8. Calculate s(g) - 10*t(g).\nAnswer: 6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -89401*v**2\/9 - 48941516*v\/9 - 6698112964\/9.\nAnswer: -(299*v + 81842)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34648 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78.6 - -77.868. Let i = 63.842 + d. Round i to 0 decimal places.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 12*g - 276. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/5 (b) 3 (c) -4\/7 (d) 4081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5765936 and 7568?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*j - 63 = -44*j. Calculate the smallest common multiple of 7 and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 48*s**3 + 2*s**2 + s - 7. Let d(t) = t. Let o be d(2). What is the remainder when h(o) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -17*d**6\/240 + 14*d**5\/15 - 71*d**4\/16 + 15*d**3\/2 + 2*d**2 - 1778. Suppose p(c) = 0. Calculate c.\nAnswer: 10\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/23)\/((q*q\/q**(-6\/7))\/q))**(-19\/5)*(q\/(q*q*q*(q**5*q)\/q))\/(q*q**7\/q)*q*q\/q**6*q\/(((q**(1\/13)\/q*q*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-19570\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 203494987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-576)\/(-60))\/16*5\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9) + (-4 - (-244)\/(-18)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1654*j - 758*j - 767*j.\nAnswer: 129*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 9. Let s be z(5). Let g be s\/((-8)\/14) - -3. Suppose 0 = -k + 6*k + 25. Sort 1, g, k.\nAnswer: k, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x - 28 = 0. Let g = x - -12. Suppose 0 = 2*p - g*h - 10, p = -2*p - 5*h - 10. Is p at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 43*h**2\/2 + 13*h - 274. Suppose -c + 0*c = -12. Is o(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 88 = -2*r + 5*n, 5*r - 5*n - 255 = 0. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3*4\/(-66) - 29\/(1276\/(-11404)) is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0 (c) 50.8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**3\/6 + w**2\/2 + 2*w - 123. Let f = 20 - 38. Let z be (-4)\/f + (-34)\/(-9). Determine b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*30\/24*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 52, 1, 3 in decreasing order.\nAnswer: 52, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/11565 and -41\/38115.\nAnswer: 9795555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m)**(-32))**(1\/6) assuming m is positive.\nAnswer: m**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*x - w + 7 = 95*x, -13 = -4*x - w. Let y(g) be the first derivative of -21\/4*g**4 + 0*g**2 - 3*g + 0*g**x + 7. Differentiate y(i) with respect to i.\nAnswer: -63*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/37 (b) 3 (c) 3.88 (d) -3\/7 (e) -1\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 - 2*q. Let g(k) = 4*k**3 + 4*k + 1. Give -4*g(o) - 7*t(o).\nAnswer: -2*o**3 - 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 4 + -59 + 12?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170361231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*k + 1136, -4*k - 1 = -3*k. What is h rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -5\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 33606.\nAnswer: 268848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**(3\/7))**(-4\/33)\/((a**(-2\/3))**(-2\/63))**(-16) assuming a is positive.\nAnswer: a**(4712\/14553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1804899869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.334 - -0.42. Round m to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-3) - (-6)\/(-9). Suppose -o = -6*n + n, -2*n + o = s. Are 2 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 3*o**2)*(0*o - o + 0*o) - 16*o**3 - 36*o**3 - 3*o + 3*o.\nAnswer: -49*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b - 1. Let t(a) = -5. Let u(c) = 1. Let s(k) = -t(k) - 4*u(k). Let z be 5\/(140\/36) + (-20)\/70. What is z*w(m) + 2*s(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 15523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 186 + 154. Let c(s) = -6*s + 227. Let o(b) = 2*b**2 + 8*b + 3. Calculate the remainder when c(w) is divided by o(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**6 + 3*y**4 - 1247*y**3 - 62*y**2 + 2*y.\nAnswer: -240*y**3 + 72*y - 7482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z**2 + 9*z - 10. Let x(g) = 8*g**2 + 5*g - 5. Determine -6*p(u) + 11*x(u).\nAnswer: -2*u**2 + u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1.4, 2, -4\/5 in decreasing order.\nAnswer: 2, -4\/5, -1.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 84*r. Let j(d) = -2*d**2. Calculate j(k(x)).\nAnswer: -14112*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6494761)\/894)\/(-479)*(-12)\/(-2)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/4*(-2 - -12). Suppose -w = -0*x - x. Suppose -r + 0 + 25 = x*c, -15 = -3*r. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58374330.\nAnswer: 2, 3, 5, 7, 137, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 14*w + 3. Let m be q(14). Suppose 0*x + x - 3 = 0. What is the third derivative of 0*g**2 + x*g**2 + 8*g**3 - 4*g**m + 0*g**2 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -25*l**6 + 49*l**2\/2 + 3*l + 189. What is the second derivative of m(a) wrt a?\nAnswer: -3000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.013 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7114, -7101, -7080, -7051?\n\"Answer: 4*p**2 + p - 7119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1\/(-4)*0)\/3. Suppose 3*a + v*l = l + 773, -4*a - l + 1033 = 0. Suppose 0*p = -3*p + a. What are the prime factors of p?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2564, -2554, -2544, -2534?\nAnswer: -2524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let z be l(0). Suppose z = a - 3*f + 4*f + 36, -2*f + 126 = -4*a. Let h = a - -69. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by -7?\nAnswer: 47\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*g*v**2 - 51*b**2*g*v - 7*b**2*v**2 + 7*b wrt g.\nAnswer: 2*b**2*v**2 - 51*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -12*r**2 + 2*r + 7. Determine d(4).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -1\/12*a**4 + 0*a**3 + 0 - 2*a**2 + 0*a. Let p(t) = t**2. What is p(h(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10848 and 3720?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9*49\/((-103635)\/(-47))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = -4. Let x be ((-3)\/(-2))\/(-3)*i. Suppose -t - x*t = -6, 2*t = 5*f - 71. Solve 4*k + k - f = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 13 = -2*d, -37 = -6*q + q - 3*d. Suppose -q*g + 2*g - 2034 = -3*x, g + 3394 = 5*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yys when three letters picked without replacement from {s: 1, b: 1, y: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 + 33. Suppose 2*w - 19 = -4*t + 3*w, -3*t - w + 9 = d. Solve -2*q + 0 = -t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.97 - 4. Let m = -54 + 56.57. Let h = m - v. What is h rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(3\/7))\/((-3)\/9). Let c(m) = m**3 + 6*m**2 - 9*m - 10. Let u be c(x). Suppose 0 = -u*l + l + 102. What is the remainder when l is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 23 + 9 + -31?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -591, 12, 2\/9, -2\/17?\nAnswer: -591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 1) + 2 - 4) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = t - 32, -3*t = 5*o - 7*o - 99. What is the remainder when 137 is divided by t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 27*h - 96 = 0. Suppose 5*q + h*q - 7569 = 0. List the prime factors of q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4*z - 320*j**2*z**3 - 6*j - 9431*z**3 with respect to j.\nAnswer: -4*j**3*z - 640*j*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350900?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {b: 5, a: 1, h: 6, f: 1, v: 1, c: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3 + 6 + 8*a + 6. Let h(z) = -4*z - 4. Let t(l) = 7*h(l) + 3*u(l). What are the prime factors of t(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + -55. Solve k = -3*w - 8, k = w - u - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 223*t - 233*t + 1 + 42*t**2 + 454*t in the form v*t + f + h*t**2 and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1036 = -4*l, -3*l - 627 = -0*p - 3*p. Suppose 9*u + p = -53. Let i = u + 53. What is the greatest common divisor of 96 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168502*k**2 - 349864*k**2 + 168541*k**2)*(2 - 4 + 4)*(-k + 2*k - 2*k).\nAnswer: 25642*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(29\/(1566\/(-36))*6)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/20 - 2*a**2. Let k(g) = 15*g**2. Determine k(j(z)).\nAnswer: 135*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 2*c**4\/3 - c**2\/2 + 25*c + 1. Give x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w = -5, -v = -3*w - 48. What is the greatest common factor of 66 and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.700376 + -11.7. Round p to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*x - x - x + 0*x + (2 + 2 - 6)*(-3*x - 2*x + 3*x) + 3 - 1 - 3*x - 9.\nAnswer: x - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -62. What is the highest common divisor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8627 is divided by 361?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 - 22 - (111 + 37)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*g = 159, 3*k - 4*g + 88 = -0*g. Let f = k + 29. Let x(b) = -5*b + 5. List the prime factors of x(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1778 + -1773. Sort g, -0.27, 2\/15.\nAnswer: -0.27, 2\/15, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-5) + (-4)\/(-10). Suppose -2*y + 3 = -w. Factor -1\/2*h + 1\/4*h**y + 1\/4.\nAnswer: (h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*p = -139*p - 32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 206 + -292 - (48 - 228).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19741 or -52?\nAnswer: -19741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 845104 and 234?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + k + 1500 = 0, -4*x - 44*k - 1476 = -49*k. Which is bigger: -375 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -1) + (-4 - -11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6700, -26749, -60116, -106801, -166804, -240125, -326764?\nAnswer: -426721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3160343889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 - 54. Let v = d - 52. Let u = -19 + v. What is the lowest common multiple of 14 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 0 - (198 + -176 - (155 - 1))) + 2\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {f: 2, e: 2, p: 3, y: 4, a: 1, h: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 413250118 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/7 and -39\/217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 107*h = -104*h - 2205, 3*h - 9 = 0. Is b a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330410213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-32)*(o**(-1\/2))**12)**(4\/31) assuming o is positive.\nAnswer: o**(-24\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 42d (base 15) in base 13?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4707\/(-17782)*(-6)\/9?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 415020140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 9*z + 2*r - 8, 2*z = -3*r + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/25 + 382\/400)\/(1\/(-4))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*d - 93, -5*z - 78 = 4*d - 3*z. Let m = -23 - d. Let h = 527\/3 + -174. Put m, 3\/8, h in descending order.\nAnswer: h, 3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - s - 10. Let z be n(4). Solve -2*g = -0*g + 3*c - 16, -c - z = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*s**3 - 2*k**3*s**2 + 2*k*s**3 - 7079091*k*s**2 - 474566*s**3 wrt s?\nAnswer: -6*k**3 + 12*k - 2847396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450cdb (base 14) in base 3?\nAnswer: 200120201120200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1185813 (base 11) to base 9.\nAnswer: 3775164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/18448 and -11\/49552.\nAnswer: 57133456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - sqrt(539)*-1)*-6 + 3)**2 + (-4*(sqrt(396) + sqrt(11) + 2))**2 + -1.\nAnswer: -56*sqrt(11) + 86312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22481, 22718, 22953, 23186, 23417?\n\"Answer: -m**2 + 240*m + 22242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-49)\/14*(-12)\/(-49). What is the second smallest value in 4, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -43*n - 1240. Calculate the remainder when 592 is divided by o(-29).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + d**2 + d - 2. Let w(j) = 9*j**3 + j**2 + 5*j - 12. Determine -5*i(h) + w(h).\nAnswer: 4*h**3 - 4*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*r + 24. Suppose k = 4*u + 47, 0*k - 55 = -k - r*u. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -47*q**8\/56 - 343*q**4\/24 + 5*q**2 - 17*q. What is the second derivative of u(x) wrt x?\nAnswer: -5640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/4 - 5*o**3\/3 - 2*o**2 - 9*o - 8. What is the smallest common multiple of 4 and s(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = a - 11, -2*a + 3*c = 2*c - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 17*n - 15*n = -34, 3*y = -n + 46. Let p be 2\/(-8) - 595\/(-28). What is the highest common factor of y and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 9. Let w be n(11). Suppose -2*m = -5*o - 0*o - 32, -w*m = o + 4. Put 3, o, -3 in descending order.\nAnswer: 3, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -47733 and 0.5.\nAnswer: -47732.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506361525 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136983 is divided by 747?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 - 16*g + 1735. Determine d(25).\nAnswer: -1790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2\/13 + 772*g\/13 + 74498\/13 = 0.\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/14 + (-6)\/(-21). Let o(r) = r**2 + 5*r + 3. Let q be o(l). Does 3 divide (-9)\/5*(q - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:02 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7635 divided by -3929\nAnswer: 7635\/3929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*b + 5*w, 2*b - 3*w + 8*w + 25 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 2*u - 6. Let c = -2 - u. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-318)\/32)\/((-5)\/50). Does m = 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293267.7419 rounded to the nearest one hundred?\nAnswer: 293300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 82 = -118 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/5 (b) -2\/3 (c) 122 (d) 2 (e) 3\/344 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40*(-22)\/264)\/(36\/27).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -101*n + 121 - 2*n**2 + 52*n + 49*n. Let g(d) = 8*d. Give g(j(z)).\nAnswer: -16*z**2 + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67139964*w**2 - 67139964*w**2 + 2 + 2*w**3 - 2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 644 divide 61569987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c - 34. Let m be d(-23). Calculate the highest common factor of m and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437985 is divided by 323.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -83057 (base 9) to base 12.\nAnswer: -27807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + c + 2, -2*g + 7*g + 20 = -3*c. Let k(t) = -38*t**3 - t - 1. What is the remainder when k(g) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588) + (5*sqrt(588) - sqrt(588)) + sqrt(12) + sqrt(144)\/(4*sqrt(12)))\/(2*sqrt(30)\/(-5*sqrt(20)\/sqrt(4))).\nAnswer: -725*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -726*d. Let y(n) = -2*n**2. What is y(x(h))?\nAnswer: -1054152*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 3*l**2 - 3*l + 23. Give g(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l*l\/l**(1\/3))*l)**31*((l*l**(-2))\/l)**(1\/67)*(l**1)**16*(l*l**(3\/2)\/l*l)\/(l*l**8) assuming l is positive.\nAnswer: l**(-16963\/402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 8000 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvbrrbrbrrvrbrvr. What is prob of picking 4 v?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.047 + 27.047. Let u = -25 + l. What is the second smallest value in -2, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:04 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/4 + 2*m**3\/3 + 2*m**2 - m - 3. Let a be f(-3). Is a\/(-6)*(-1 + 22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/27*(-66)\/(-8). Suppose -f = 2*j - 158. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from {g: 5, v: 2, t: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2 - 244*m - 2520 = 0.\nAnswer: -9, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2596566.\nAnswer: 12982830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49223743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3\/5)*q**3*(q\/q**5)\/(q\/(q\/(q**(-6)\/q))))\/((q**(-2\/5)\/q)**11\/(q\/((q\/(q\/q**(-1)*q))\/q))**(-5\/11)) assuming q is positive.\nAnswer: q**(233\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 499256762?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 2. Suppose -t - 4*l = -3, 4*t - l - 12 = 4*l. What is the remainder when t is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from tmmnttlmztttntzztt.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32916 divided by -6\nAnswer: -5486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/((-4608)\/(-378) - 13).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 11:25 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12*j - 5. Let d(l) = -2. Let m(v) = -v - 3. Let y(q) = -2*d(q) + m(q). Calculate -g(i) - 5*y(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 21 - 32. Let w = c - -57. Solve w*j = 2 - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.939887 rounded to 1 decimal place?\nAnswer: -39.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*z**2 + 46404*z - 5*z**3 + 90 - 3*z**2 - 92879*z + 46430*z = 0. What is z?\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p - 39 = -4*w, -2*p - 95 = -10*w + 7 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + 0.2. Let v = 107.7 - 126.7. Sort q, -3, -1\/4, v in ascending order.\nAnswer: v, -3, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/14*-5 - -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -66791?\nAnswer: -66795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1110 + 46 + 121)*(1 - 2*g**3 - 1).\nAnswer: -2554*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 - l**2 - 10. Let c(b) = -2*b**3 + b**2 + 9. Calculate 4*a(m) + 5*c(m).\nAnswer: 2*m**3 + m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:24 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-14) - (-309)\/10395*44?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -128 + 3 - (-85 - 11).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 6*w**2 - 1\/3*w**3 + 3 + 8*w. List the prime factors of x(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76965893401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 85*g**2 + 550*g.\nAnswer: -5*g*(g - 5)*(g + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**5\/60 - h**4\/54 - h**3\/54 - 245*h. Factor r(g).\nAnswer: g*(g - 1)*(3*g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f + 4*f**3 + 0*f**3)*(-2*f - 4 + 4)*(2*f - f + f) + 5*f**5 + 2*f**5 - 5*f**5.\nAnswer: -10*f**5 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1052110.\nAnswer: 2, 5, 105211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 317962 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69854602 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209083 = -2585388*s + 2583631*s for s.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/(6\/((-12)\/(-2)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - o + ((-1 + 1 - o)*(4 - 3 + 0) + 4 - 4 - o - 10*o + 17*o - 8*o)*(-2 + 0 + 1) to n + a*o and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsiisisisac. Give prob of sequence cs.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-64))\/(813\/(-8672)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 3:39 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1265, -4773, -10619, -18803, -29325, -42185?\nAnswer: -57383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 10) to base 4\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n - 13*n + 24*n)*(-2077*n**2 + 2077*n**2 - 152*n**3).\nAnswer: 1064*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13297*h - 5517*h - 7782*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -35*w**2. Let t(u) = 117*u + 8. Give t(x(g)).\nAnswer: -4095*g**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -113*g**3 - 39*g**2 - 16*g. Let b(q) = 38*q**3 + 13*q**2 + 6*q. Give -11*b(d) - 4*i(d).\nAnswer: 34*d**3 + 13*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68992199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/3)*k)**(1\/38)*k**0*k\/(k\/(k**(-4)*k)) assuming k is positive.\nAnswer: k**(-167\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 79, 114, 183, 298, 471, 714?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 40500 to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/5 - (44\/20)\/(-1). Suppose w*t = 3*v + 2, -2 - 4 = v + 2*t. What is the units digit of 91 - (v\/(-1) + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 48688*w - 449. Is i(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) 1 (c) -1\/10 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 871*k - 50906. What is p(-63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1630)\/6440 + (-26)\/(-91) and 44\/667.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s - 106*s + 65987 = 6*s. What is the greatest common factor of 115 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -28) + (146 - 157) - 39.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -0.19, -2, 48, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-64) + (-1 - -3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*f**4 + 0 + 27*f**3 - 55\/2*f**2 + 0*f.\nAnswer: f**2*(f - 1)*(f + 55)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*g - 216*g + 359 + 68*g + 75*g + 761.\nAnswer: 2*g + 1120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1701?\nAnswer: 16db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 11 + 1 + 1 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 445\/41 and 1\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9128114, 9128114, 9128112, 9128108?\n\"Answer: -m**2 + 3*m + 9128112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r. Let u(p) be the third derivative of -9*p**5\/20 + p**2. Give u(v(i)).\nAnswer: -432*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, -1, 1, 5, -4, -150, 20 in ascending order.\nAnswer: -170, -150, -4, -1, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143117 is divided by 71168.\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -10*n + 7*n. Let a = 119 - n. What are the prime factors of a?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20042401741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**(14\/5)\/t)\/t))**(-28)\/((t\/(t*t**(2\/101)*t*t))\/t**24) assuming t is positive.\nAnswer: t**(10312\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -445 - -443 - (15\/(-90))\/((-2)\/(-28)). Factor -8\/3*t**3 - 5\/6*t**4 - g*t - 13\/6*t**2 + 0.\nAnswer: -t*(t + 1)*(t + 2)*(5*t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*a - 277 = 131, -408 = -2*w - 2*a. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 3. What is the second smallest value in 8, n, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t + 1. Let s(v) = v. Suppose y + 85 = -0*a + 4*a, 2*y - 6 = 0. Suppose 6 + a = -7*n. What is n*s(m) + p(m)?\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74880 - 49084. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 8. Suppose 4*d = 3*r - 49, -3*d + 21 = 5*r - 22. Let t(o) = -8*o + 25. What is r*i(p) + 4*t(p)?\nAnswer: p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -73929, 2\/7, 47 in ascending order.\nAnswer: -73929, 2\/7, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 34*z**3 + 7*z**2 + 3*z + 4. Suppose 92*b - 63 = 157*b - 973. Let x(r) = 11*r**3 + 2*r**2 + r + 1. Determine b*x(s) - 4*q(s).\nAnswer: 18*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*q*v**3*y**3 + 2*q*v**2*y**3 - 2*q*v**2 - 5205*q + 1420*v**3*y**3 wrt v.\nAnswer: -366*q*y**3 + 8520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:26 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 35 - 25. Suppose h = 2*h + 7. Let g = h - z. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 54465580.\nAnswer: -1\/10893116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.37323 and 0.5?\nAnswer: 0.686615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 190775761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*(m*(m\/m**(3\/8)*m)\/m)\/m*m)*m\/m**0*(m**(-1))**(18\/11) assuming m is positive.\nAnswer: m**(-199\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 2*o, -4*d - 2*o + 3*o = -7. Suppose 0*k - 5*t = -d*k + 12, 0 = 5*t. Calculate the highest common divisor of k and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f*r**2*s - f*r*s**2 - 4*f*s**2 + 2*f*s - 2*f - 5*h**2*r**2*s - 2*h**2*s + 30*r**2*s**2 - 7*r*s**2 wrt r?\nAnswer: -12*f*s - 10*h**2*s + 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 495?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (532\/56)\/((-2)\/(-316)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -5.79154?\nAnswer: -1.737462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 4*q**2 + 3*q - 7. Let f be (-6)\/(30\/25)*1. Let h be j(f). Suppose -h*g = -y - 0*g + 71, 3*g - 124 = -2*y. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + -29)*1\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4487.186335136 less than 1?\nAnswer: 4488.186335136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -709*n**2. Let m(c) = -139332*c. Calculate m(y(i)).\nAnswer: 98786388*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391404 divided by -6?\nAnswer: -65234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/6*-3*1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f + 11. Let x be j(-9). Let d = 37\/2 + x. What is the closest to 2\/5 in d, -2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 42c8b8a?\nAnswer: -42c8b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*n**5 - 168074*n**4 + 2*n**3 + 4*n**2 - 46793.\nAnswer: 420*n**2 - 4033776*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g - 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 14*i**3 - 2*i - 1. Let k = 48 + -61. Let h = k - -7. Let n(p) = 2*p**2 + 11*p - 7. Let s be n(h). Calculate v(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -7.11687124?\nAnswer: 3.11687124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**3 - 180*o**2 + 123*o + 41. Calculate d(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/10 + -1\/10. Suppose -9*t - 14 = -2*t. Let g be (-4)\/(-40)*(0 + t). Is x <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/11))**28 assuming y is positive.\nAnswer: y**(140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -36 - 27 - 40*d + 63. Let a(c) = 9*c. Give y(a(x)).\nAnswer: -360*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-20))\/(21\/(-70)) - 40?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 15*l**2 + 16*l + 34. Let w be v(-14). Let k be (-9)\/w*(-1 + 5\/(-15)). Let n(j) = -13 + 15 - 2 - 69*j**k. Let u(t) = -t**2. Calculate n(u(y)).\nAnswer: -69*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3465 >= 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 23, 71, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -230*l*z**6 - 6*l*z + 3*z**2 wrt z?\nAnswer: -27600*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 550471 take away -365713?\nAnswer: 916184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1116, -2253, -3498, -4905, -6528, -8421, -10638?\nAnswer: -13233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l - 175 = 0. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12511, -49725, -111639, -198253, -309567?\nAnswer: -445581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 540 = 8*s - 3*s. Suppose -10*d = -13*d + s. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*m**3 - 125*m**3 + 328*m**3 + 158*m**3.\nAnswer: 629*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/416*4)\/(((-4347)\/56)\/(-9))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 49 - 49 + (-c - 4*c + 4*c)*(-3 + 4 - 2))*(-3*c**2 + 3*c**2 - c**2).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y**2 - 5*y + 4. Calculate d(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2845 and 318220647?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 43*i - 8855. Let c = i + 284. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 + 350\/45\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*a - 39, 8*p = 13*p + 2*a - 6. Solve 3*j - p*b - 1 = -6*b, 0 = 2*b + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.5, -0.8, 89, -3, 3\/2.\nAnswer: -3, -0.8, -0.5, -0.08, 3\/2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-3)\/3*1. Suppose s = -3*r - r + 12. Calculate the remainder when r is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.75 - -3.85. Let w = 0 + 0.3. What is the biggest value in w, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125003870 to the nearest one hundred thousand.\nAnswer: -125000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 831*r + 3628. Let n be b(-4). Calculate the highest common factor of n and 3876.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -12*s**2 - 97*s - 19. What is x(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by -16822?\nAnswer: 110\/8411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 12, -4*i - 577 = -2*u - 625. Which is the biggest value? (a) 0 (b) 3 (c) u (d) 1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**9*o*o*o*o**18)**(-45) assuming o is positive.\nAnswer: o**(-1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3547448 and 34.\nAnswer: 60306616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1132\/2830)\/(-1 + -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 16, 64, 142, 256, 412, 616, 874?\nAnswer: 1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8310 = 3*t, 5*j = -2*t + 11614 + 2208. Is j a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49293682 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.1 (c) -0.4 (d) 1 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-16)\/20)\/4 + (-86)\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -12 - (-1 - (1 - 1)). Suppose 3*u - 5*g = u - 9, u + 12 = 4*g. Let w = u + n. Let s(t) = t**2 + 3*t. Give s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 3:20 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (5 + -9) - (19 - (7 - -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38039988 and 12.\nAnswer: 38039988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/28 - 4098\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4833.6 rounded to the nearest 10?\nAnswer: -4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9421 = -4*i + 2227. Is i a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312091 is divided by 10402.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 1. Let r(h) be the third derivative of -7*h**4\/6 + 11*h**3\/2 + 2*h**2 - 5*h. Let s(p) = k(p) - r(p). Differentiate s(f) wrt f.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -3 + -71 - (-28)\/18*3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(24\/231) - 2)\/(((-315)\/12)\/35)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 3*y**2 - 3*y - 4. Let u be -3*(3 + 8\/(-4)). Let t be c(u). Solve 15 = 5*o + t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -681 + 697. Suppose 0 = -4*f + c, -p + 3*f = 3 - 16. Solve -3*j = -6, 0 = 4*v + 5*j + 7 - p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.4 in 0.3, -1088, -5, 0.7, 0, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 22*o**2 + 444*o + 95. Let s(p) = 131*p**2 + 2662*p + 572. Let d(z) = 76*l(z) - 12*s(z). Determine k, given that d(k) = 0.\nAnswer: -89\/5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426 times -10364\nAnswer: -4415064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 2 (b) 2\/7 (c) 0.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 smaller than -208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -216, 75, 882, 2211, 4068, 6459?\n\"Answer: n**3 + 252*n**2 - 472*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297 - 197. What is the third derivative of -v*g**5 + 5*g**2 + 103*g**5 - 14*g**2 wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 6, -5.67, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 184\/64 + 3\/24. What is the common denominator of 249*v\/18 + -2 and 2\/(-7) + (-3 - (-6 + 3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + (sqrt(720) - (sqrt(720) + -1 + sqrt(720))**2))*4 - (-5 + -1*2*sqrt(720)*-3).\nAnswer: -11519 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**4 - 5*p**2 + 5*p + 2. Let d(c) = c**4 - 6*c**2 + 6*c + 3. Let t = -12 - -6. Let q(a) = t*w(a) + 5*d(a). What is the derivative of q(y) wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -7317, 1\/8, 0.5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -56*h**3 - 723*h**2 + 115*h + 651. Calculate w(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.06, -4, -26, 0.3, 2029, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2187663105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -58*p + 30*p**2 - 38*p - 32*p**2 - 1087 - 65 = 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 16. Let q = -6 + 3. What is the remainder when 6*((-5)\/q - -1) is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(684) + sqrt(684) + 2 + sqrt(684) + -4 - 2*3*(1*sqrt(684) + sqrt(684)))**2.\nAnswer: 432*sqrt(19) + 55420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3580.56 decades in centuries?\nAnswer: 358.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37\/19 + 167\/76. Let d be (-2)\/6*6\/(-4). Put -5, v, d, -1\/3 in increasing order.\nAnswer: -5, -1\/3, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 353199*c**2*d**2*l + 1029524*c**2*d**2 wrt l?\nAnswer: 353199*c**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 788107*y**2 - 90*y**3 + 1 - y**4 - 788107*y**2 to d*y**3 + h*y**4 + x*y**2 + b + r*y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 9*j**2 + 22*j + 7. Let w = 4 - 2. Calculate the lowest common multiple of o(11) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-23) + ((-7)\/(455\/(-1027)))\/(-23)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 1\/2*k**4 - 2*k - 3\/2*k**2 - 1\/6*k**3 + 0. Is m(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2024 or 2022?\nAnswer: 2024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqiqifwff. Give prob of picking 1 q, 2 f, and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 19*a - 19*a + 3*a**2 in the form v*a**2 + m + x*a and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*t**2 + 24*t**3 + 15*t**2 + 16*t**3 wrt t?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1534115, 6136458, 13807029, 24545828?\nAnswer: 38352855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -138*i - 1. Let p(z) = -24*z**2. What is p(m(f))?\nAnswer: -457056*f**2 - 6624*f - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*h - 11970 = 688*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*h**3*v**3 - 4*h**3*v**2 + h**2*v**4 + 9*h*v**2 wrt v?\nAnswer: 96*h**3 + 24*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 655271 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 0*k + (2 - 4 + 0)*(2*k - 2 + 2) + k - k + 2*k)*(8*k**2 + 6*k**2 - 16*k**2).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - 3*c. Let o be f(2). Suppose 0 = -3*k - 5*p + 12, 5*k - 20 = -o*p - 0*p. Differentiate 2*b**4 - 3 + 7 + 0*b**k wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -713948\/3 or -237982?\nAnswer: -713948\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 15*b - 190. Give c(-6).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5129*h**3 - 1090*h**2 - 3*h - 191602164?\nAnswer: -15387*h**2 - 2180*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 5)*(0 + 0 + 2*p) + p + 0*p - 3*p - 884 + 29*p + 884)*(-2*p**2 - 2*p**2 - 2*p**4 - 2*p**2).\nAnswer: -62*p**5 - 186*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 30 = 7*j. Suppose 1 = j*m - 9. Determine v, given that -2\/3 - 1\/3*v**m - v = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/30 - (-3 - -2). Let p = 4\/45 - o. Let h = -0.157 - -2.157. Which is the smallest value? (a) p (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 1429, 3226, 5739, 8962?\nAnswer: 12889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 173086879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(143)*2)\/(sqrt(1584) - (sqrt(1584) - (sqrt(1584) + (sqrt(1584)*2 - sqrt(1584) - sqrt(1584)) - sqrt(1584))) - sqrt(1584)).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 202.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)\/(x\/(x*x**1)))\/(x**(-1\/4)*x)**(2\/55) assuming x is positive.\nAnswer: x**(-883\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11201*u**2 + 41146.\nAnswer: -22402*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/15 + 3398*d\/15 + 6788\/15.\nAnswer: 2*(d + 2)*(d + 1697)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6286 - 6275. Which is smaller: 39 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, i: 1, e: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30615, -122255, -274927, -488631?\n\"Answer: -30516*n**2 - 92*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20*(-4)\/(-120))\/((-7)\/((-7)\/2888)). Which is the closest to -0.1? (a) 1\/7 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.36.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204 + -173. Sort -4, b, -5, -0.1, 1\/2.\nAnswer: -5, -4, -0.1, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/10295220 and -53\/20.\nAnswer: 10295220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b + 6. Suppose 3*a + 1 = -b*n, 3*n + 3 = -a - 0*a. Suppose -45 = -4*f - a*m, m = -5*f - m + 51. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52234, 52233, 52232?\nAnswer: 52231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, -3\/2, 24678\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from ummmrmrmmmrrmumrmmmm?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*z - 23 = -4*z, -5*w - 3*z = -27. Let j = w + -1. Let k(u) = u + u - j*u - 2*u**2. Let p(x) = 4*x. Calculate k(p(l)).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 - 18*b**2 - 247364*b - 247479*b + 494843*b.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l - 3. Suppose -550 = -l*y - d, -5*y + 4*d = -172 - 773. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*u = -3*p - 14, p + u = -2. Suppose -3*l = -2*x - 762 + 189, 0 = -p*x. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 522 + -365. Suppose -4*h + 83 = -k. What is the third derivative of 3*y**2 + 60*y - h*y - 7*y**4 wrt y?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -225106.\nAnswer: 5\/225106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 389, 384, 367, 332, 273?\n\"Answer: -v**3 + 2*v + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6328.759 milligrams to tonnes.\nAnswer: 0.000006328759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80003472.\nAnswer: 2, 3, 37, 107, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 115 = 14*t. Suppose -2*y + 8 = t*a - 22*a, 2*a = -3*y + 13. Solve 2*h = 4*b - 3*b + y, 5*h = 3*b + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/9 + 45320*w\/9 - 90568 = 0.\nAnswer: 18, 22642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*k - 117*k = -4. Suppose 78 = k*m - 2. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 821, 1486, 2051, 2516, 2881, 3146, 3311?\nAnswer: 3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j + 8. Let f be x(-6). Let q = 126 - -234. Suppose 2*t + s - q = 0, 2*t + 0*t + 3*s - 352 = 0. What is the highest common factor of f and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1612050 and 24750?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134852 is divided by 507.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3328*p**2 - 2350*p**2 + 1756*p**2.\nAnswer: -3922*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 2:20 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/12*57\/190?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 41 = g, 4*g = -3*s + 4*s + 25. Let v be 15*(-8)\/(-54) + 2\/s. Let x be (v - 0)*35\/10. Solve -15 = -x*q + 4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/5)*b*b)**(-33)*b\/b**(-6\/7)*b**2\/b)**(-2\/7) assuming b is positive.\nAnswer: b**(5806\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4502838?\nAnswer: 2, 3, 750473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 - 80. Solve -2*o - 2*k + 7 = 1, 4*o - 4*k - 4 = i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 8*y - 84 = -10*y, 2*r = r + 2*y + 11 - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 3*c**2 + 7*c**3 + 10*c**2.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19267.\nAnswer: 19267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1911\/244 + -625915\/78812. Calculate the common denominator of v and -31\/228.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -348, -351, -364, -393, -444?\n\"Answer: -c**3 + c**2 + c - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -83 - 87 - (-27 + 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.45 and -43.\nAnswer: -34.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2263*r + 2319*r + 11544 = 4730*r for r.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r + r**3 - 54 - 50 + 231 - 61 - 60.\nAnswer: (r - 2)*(r - 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 678? (a) -5\/3 (b) 0 (c) -91968\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 18 = 3*k, 0 = -0*y + y - 2*k - 10. Let i(q) be the third derivative of -q**5\/60 + q**4\/4 + q**3 + q**2. What is i(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-27) - (-3)\/(-108). Let d = -20 - 101. Let t = -120.5 - d. Which is the nearest to 2? (a) t (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -18. Let d(k) = -k**3 + 5*k**2 + 7*k + 3. What is d(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 3*r + 6. Suppose 5*b + 25 = -m + 3, 5*m = -10. What is the least common multiple of 9 and j(b)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 35*v**3 - 117*v**3 - 68*v**3 + 54*v**3 + 47*v**2 - 85*v**3 wrt v?\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.2 + -91.3. Let f = t + 66. Round f to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 17 - 2\/9*k**3 - 1\/3*k**2 - 1\/6*k. Factor g(j).\nAnswer: -(2*j + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 12*w**2 + 3. Let o(b) = -57 + 5*b - 2*b + 21. Let v be o(8). Let k be c(v). What is the greatest common factor of k and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*a - 3*a. Differentiate 22*m**2 - 22*m**2 - 7*m**4 + a with respect to m.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63156909899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2*(145\/30 + -5)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/4088701 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = 4*u. Put -3, u, -1 in increasing order.\nAnswer: u, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1925.999998307 - 1926. Round u to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 81. Suppose 0 = 3*o + 5*p - 62, 4*p + l + 66 = 5*o. Calculate the smallest common multiple of o and 78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s. Let j(v) = v**2 - 247. Give j(q(w)).\nAnswer: 16*w**2 - 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904932491 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4 + 7756*c**3 - 5015544*c**2 + 1083352336*c - 1078344544 = 0. Calculate c.\nAnswer: 1, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4594*i + 50383. Determine d(11).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 390 and 4.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -34?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(17) + 0) + sqrt(1700) + (sqrt(1700) + -1 + 2*sqrt(1700))**2 + sqrt(1700).\nAnswer: -20*sqrt(17) + 15301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994032 divided by 94?\nAnswer: 53128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 5:58 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3783 + 162715\/43. What is the common denominator of 87\/20 and s?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6397 - 6166. What is the remainder when p is divided by 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/2))\/(l\/l**(-2)*l*l))**15\/((l**(-1))**(-22\/9)*l**0\/(l*l**(1\/3))) assuming l is positive.\nAnswer: l**(-695\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -13*w - 23. Calculate the remainder when 123 is divided by d(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 808, 1618, 2428, 3238, 4048, 4858?\nAnswer: 5668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 355 - 21. Let z = 181 - d. Solve 6*u + 4*v = 10*u - 24, 3*u + z = -5*v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119517 divided by 46.\nAnswer: 119517\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -517, -509, -503, -499?\n\"Answer: -n**2 + 11*n - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - s - 9*s = -16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 184, 407, 628, 847, 1064?\n\"Answer: -d**2 + 226*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b0 - -7?\nAnswer: 3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 + 15)\/(2\/5). Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25, -8, 37, 122, 259?\n\"Answer: 2*k**3 + 2*k**2 - 3*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2))**(-1\/12)*p\/p**(1\/5)*p**(-1\/6) assuming p is positive.\nAnswer: p**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3665, -3545, -3377, -3161?\n\"Answer: 24*m**2 + 48*m - 3737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**3 + 22099240*q**2 + 24418820428880*q = 0?\nAnswer: -2209924, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -0.46551.\nAnswer: 4.18959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15484?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(300)*-2*1 - ((sqrt(300) + sqrt(300) + sqrt(300) + sqrt(300)*-2*5 + sqrt(300))**2 + (sqrt(300) - ((sqrt(300)*2 - sqrt(300))*3 - sqrt(300)))).\nAnswer: -10800 - 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 214*v - 1253 + 1463 = 0, 0 = -t - 5*v - 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -220.1 (c) 1\/11 (d) -12 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.203 + 0.2029869. Round t to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11313067859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246587849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -22. Let d(q) = q**3 - 8*q**2 + 5. Let m be d(t). Solve 4*a + j + 4 = -m, -4*j = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.627 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 973. Let h(p) = -4*p + 3939. Determine 6*h(w) - 23*r(w).\nAnswer: -w + 1255","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 493749*r**2 + 5*r - 4. Let u(s) = -s**3 + 4*s**2 + 6*s - 1. Let c be u(5). Let q be d(c). Round q to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 37*v**2 - 2*v + 1. What is a(1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -58, 3, 2, 5, 95 in decreasing order.\nAnswer: 95, 5, 4, 3, 2, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26617601431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-18) - (-3)\/54.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34148386.\nAnswer: 2, 17074193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 1\/2, -8\/37, 5 in decreasing order.\nAnswer: 5, 1\/2, 0.3, -8\/37, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31450 - -31445. Which is the fifth smallest value? (a) r (b) -3 (c) 3 (d) 4 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h - 24*h + 3 = 3*n, 3*n = 5*h + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1399.838 litres to millilitres.\nAnswer: 1399838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -38650.0988 to the nearest 100.\nAnswer: -38700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 5855 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 2. Let y(u) = -u + 6. Let o be y(5). Let r(l) = l + 1. Let p(t) = o*g(t) - 2*r(t). Let i(m) = 14*m + m**2 - 14*m. Give i(p(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -453*v**4 + 108*v**2 + 66*v**2 + 459*v**4 + 13*v**5 wrt v?\nAnswer: 780*v**2 + 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1217, -370, 477, 1324, 2171?\nAnswer: 3018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -466. Is q a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*a**2 + 82*a**2 - 170*a**2 + 2*a**3 - a**4 - a**4 in the form o*a + k + w*a**4 + z*a**3 + l*a**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -7. What is the remainder when 137 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 397 divided by 1\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 4. Give t(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 + -217. Is (1039 - 1) + t - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(121\/(-968)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 60*i - 3 - 37*i to the form w*i + m and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (5 + (-1 - -2) - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - (-200)\/20)*(-10)\/(-4). Let r(c) = 20*c. Let a(x) = 60*x. Calculate t*a(o) + 16*r(o).\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360888.\nAnswer: 2, 3, 11, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84025453172 - -0.6.\nAnswer: -84025453171.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*v + 40, l = 5*v - 3*v - 18. Suppose 3*x - 3*u - 2*u - 6 = 0, 5*x - 4*u = v. Solve x*i = 0, -4*y - 9 = -2*i + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2*593\/5930.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 + 603*h - 1836 = 0?\nAnswer: -204, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14775, 17595, 20415, 23235?\nAnswer: 26055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 3)*(-15)\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 3731*s**2\/2 - 220199*s\/2 - 223931\/2.\nAnswer: -(s - 3671)*(s - 61)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*v = 224, -9*v = -4*j - 10*v + 220. Let q(b) = -j*b + 108*b - 8*b**2 - 54*b + 1. Determine q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -58, 2.\nAnswer: -58, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -55 + 17*h + 0*h**2 - 2 + 23 + h**2. Let k be m(-19). Solve 5*y - l - 4*l + 5 = 0, 0 = -k*y + 5*l - 9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35696 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 208*t + 193*t + 90, 20 = 2*o + 6*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.71 * -0.07.\nAnswer: -1.8697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikkkkkkki. What is prob of picking 2 i?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199 + -282. Let v = -45 - n. Let p = v + -37.999808. What is p rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f + f**2 + 56 + 4*f - 52. Let z be h(-7). Let k be (-50)\/12 - (0 + z). Which is bigger: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 18 = -6*t, 2*f + 437 - 423 = 2*t for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 20. Suppose n*y - 4 = 1. Let r(b) = b**2 + 5*b + 5. Let c be r(-5). Put 4, c, y in descending order.\nAnswer: c, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3164*y + 3164*y + 1704*y**3 + 3801*y**3.\nAnswer: 5505*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21)\/42*184\/(-980) and 55\/6.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27834545*l*q - 32*l - 3*q**2 + 145674 wrt q.\nAnswer: -27834545*l - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.93 - -15. Let k = o + -5.07. Let b be 5\/(-5) + (1 - -5). What is the third biggest value in b, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4*12\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - s + 18 = 4*b, -4*b - 4*s = -16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1354 = 4*x, -4*a + 899 = 5*x - 798. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46107003 - -0.069985?\nAnswer: 46107003.069985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 362700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfwxwsw. What is prob of sequence xsxw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 432.\nAnswer: -864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458551*i**2 - 14 + 23 - 9.\nAnswer: -458551*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73023392 to the power of 1\/2, to the nearest integer?\nAnswer: 8545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 11:59 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 9 + 4 + (0 + 1 + 1)*(-2 + 0 + 0) + 1 - 1 + 1)*(1 - 5*r**3 + 0 - 3) as z*r**2 + c + w*r**3 + x*r and give w.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1257 and -13.\nAnswer: -16341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 o when three letters picked without replacement from {h: 6, o: 6, r: 1, t: 1, d: 3}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**22)\/((m*m**(4\/7))\/m*m*m))\/(m**12)**(-21))**(6\/5) assuming m is positive.\nAnswer: m**(9594\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 34*u - 2. Let r be j(-1). Is (-1179)\/r*(4 - 0\/1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(750\/(-10)))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -38*a**2 + 1. Let z(j) = -2. Calculate c(p) + z(p).\nAnswer: -38*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 9. Let i(a) = 33*a - 16*a - m*a. Let s(u) = 4*u**2. What is i(s(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*s + 15 = s, 0 = -3*s. Let v be (-15)\/20 + (-2)\/(-2). Which is the second smallest value? (a) 2 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167110185892 - -0.05.\nAnswer: 167110185892.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62507 divided by -6.\nAnswer: -62507\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c - 25*c - 69 = 819 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404, -427, -472, -551, -676, -859, -1112, -1447?\nAnswer: -1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + sqrt(112))**2 + 0 - (6*(-1 + sqrt(112)))**2) - (((sqrt(112) - (sqrt(112) - (-3*sqrt(112) + sqrt(112)))) + 3)**2 - (-1*sqrt(112) + 2)**2).\nAnswer: -544*sqrt(7) + 7571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15618883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 + m**3)*(-1 + 3 - 4 + m).\nAnswer: m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q*q**(5\/3))*q)\/q*q**5)**(11\/4)*(q\/(q*q**(2\/21)\/q)*q**(-6))**(-4\/13) assuming q is positive.\nAnswer: q**(5861\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48869777 divided by 803.\nAnswer: -60859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 + 345*w + 2*w**2 - 5*w**2 + 5*w**3.\nAnswer: -4*w**3 - 3*w**2 + 345*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 - 2*f**4 - 2*f**4)*(10*f + 6*f - 2*f + (2 - 2 + f)*(4 - 5 - 1)).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -239*m**3 + 18*m**2 + 3*m - 16. Let v(t) = t**2 + 3*t + 7. What is the remainder when f(-1) is divided by v(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -12. Let n(p) = 2*p**2 + 2*p. Let u be n(j). Solve u = -5*q - 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-15) + (-4)\/10. Let m be 9\/(-3) + 1 + z. Does 15 divide 788\/20 - m\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 10. Let h be s(-7). Let u(k) = 3*k**2 - k - 6. Let n be u(h). Calculate the greatest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(2\/13)*h)*h**6)**(16\/7) assuming h is positive.\nAnswer: h**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 5*r = 34*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 4*d - 4. Let n be 5\/10 + (-34)\/4. Is x(n) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 861*c + 6029. Let l be r(-7). Solve 182*n = 178*n + 3*m - 13, n - 5 = -l*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 88 + 141 - 59. Determine m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204428929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (4\/(-10))\/(2552\/(-63690)*-1)?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 11 = 4*h, 2*q - 17 = -h - 19. Calculate the greatest common factor of q and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7202*w + 7324*w - 59*w**4 - 138*w**4 + 1 wrt w.\nAnswer: -2364*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -12 - (-21)\/(-6) - (-2)\/(-44)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5580028 micrometers to kilometers.\nAnswer: 0.0000000005580028","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*d**2 + 4*d + 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 656824 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 l, and 1 c when four letters picked without replacement from {c: 4, l: 6, m: 2}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/9 - 8518\/(-3). Suppose 10*m + 157 - c = 0. What are the prime factors of m?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-74)\/(-14) - (-6)\/(-21). Suppose 3*x - 163 = a*s, -x - 265 = -6*x + 5*s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*c + 2*c + 3*c)*(0*c**4 - c**4 - 6*c**4).\nAnswer: -14*c**5 + 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - 28?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 208 = -0*d. Suppose -d = -5*m + 3. What is the remainder when 5\/(-30) + 0 + 242\/12 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(192) - (sqrt(192)*1 - sqrt(192))*-4))**2.\nAnswer: -64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:41 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*f**2 - 21 + 21)*(3*f**2 + f**2 - 3*f**2) - 6*f**4 + 3*f**4 + 4*f**4.\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(2\/109)))\/(t\/(t**(-2\/53)*t))*(t\/(t\/(t\/((t\/(t\/t**11))\/t)*t)*t*t))\/((t\/(t*t**(-26)))\/t) assuming t is positive.\nAnswer: t**(-208296\/5777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.152 times 7\nAnswer: -1.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.5, 0.014978, 3 in decreasing order.\nAnswer: 3, 0.5, 0.014978, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.629042077 rounded to three dps?\nAnswer: 0.629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 5 (c) 10 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107501314 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1948 - 3*v - 9*v + 1998 to the form w + d*v and give w.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*z - 48, 4*d = -2*z + 23 + 23. Let y(a) = 14*a - 3 - d*a - 7*a. Give y(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44049, 41739, 39429?\nAnswer: 37119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 9*i + 3 = 0, 2*m = 3*i + 11. Suppose 19*d - 10 - 64 - 31*d + 2 + m*d**2 = 0. Calculate d.\nAnswer: -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8.17 and 24.628.\nAnswer: -201.21076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 6*b**3 - b - 2*b**4 + 7*b**3 + 4*b**2 + 7*b**4 in the form c*b + j*b**3 + m*b**2 + q + g*b**4 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -37. Let u = t - -27.8. Is -2\/7 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12\/11 - 8\/33. Suppose -2*u = 2*u - 4. Let m = 2\/821 - -1620\/9031. What is the second smallest value in s, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 16 = -6. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -286, -288?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100860 times 21?\nAnswer: 65118060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -196 + 194.6. Let a = 5436.799864 + -5435.4. Let w = u + a. Round w to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*k*s**2 + 1484*k*s - 2*s**2 wrt s?\nAnswer: 308*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 264 + 48 = 0. Let g = -592\/11 - m. What is the fourth smallest value in 2, 8, g, -2\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 670944, 1341868, 2012792?\n\"Answer: 670924*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1946.49 times -5\nAnswer: 9732.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (85\/(-34))\/(0 - 2). Let o be (-17 - 594\/(-36))*(12\/10 + 0). What is the fourth biggest value in o, -5, 0, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-40)*8\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*k*s**2 + 18*f*s**6 - 5*f*s**2 + f + 209658*k*s**6 + 8*k + 15*s**2 - 116*s wrt s?\nAnswer: 2160*f*s**3 + 25158960*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 + 30. Let l be (-4)\/(-14)*(-3 - -2). Put -4\/3, c, l in decreasing order.\nAnswer: l, -4\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326 by -2075.\nAnswer: -326\/2075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/10 + 82\/(-6560)*-24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2267*g - 7476*g + 134*g - 1120*g - 2595*g to the form k*g + s and give k.\nAnswer: -13324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - j - 19 + 15 = 0, 2*j = 4*h - 8. Is h >= -44\/89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 51 (c) 4\/5 (d) 44 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6*6\/(-9)*3512\/878\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 622857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2702e (base 16) in base 10?\nAnswer: -159790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5*z + 12)*(-1 + 0 - 1) + (3*z + 0*z - 2*z)*(1 + 2 - 4) + 3*z - z + z + 7 - 5 + 4 - z.\nAnswer: 11*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/(-48))\/(35\/1100)*-3 and (-6 - -7) + 134\/(-144)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2637b + 1?\nAnswer: -2637a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -12.2. Let m = 12 - p. Let t(v) = 2*v - 4. Let j be t(4). Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 887311860?\nAnswer: -887311855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 17*l - 19. Let a(o) = 22*o**3 - 222*o**2 + 20*o - 8. Let g be a(10). Calculate c(g).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141523106?\nAnswer: 2, 5393, 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 7 + 6 - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkd when three letters picked without replacement from axkaiddaxxdiddiixx.\nAnswer: 25\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*q - 53*q = -2*c + 1193, 0 = 5*c. Calculate the remainder when q is divided by 238.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*k + 1122, 2*a = 48*k - 43*k + 1131. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16945 is divided by 4233.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 14 + 17 + 6. Let r be (1\/3)\/((-1)\/(-21)). Determine f(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 276434, 276438, 276444, 276452?\n\"Answer: c**2 + c + 276432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-10*q - 573 + 573) + 3*q + 1 - 1 + (-1 + 0 + 0)*(-4*q - 4 + 4) - 1 + 1 - 2*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 3\/7 (c) -0.15 (d) 1\/10 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - 2*r + 4*r)*(1 - r**3 - 1) + (-143*r - 296 + 296)*(-2*r**3 + 3*r**3 + 0*r**3) to i*r**2 + f*r + q*r**3 + y*r**4 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 12 = 0. Suppose x = v*x. What is the common denominator of 13\/(-8) - (x + 2) and -24\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -3, 3\/2, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*v + 48, -3*f - v + 19 = -3*v. Let p be (3\/36)\/(f\/27). Which is the smallest value? (a) -4 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 4 + 4)*(-2 + 2 + 5*h**2)*(-5*h + 17 - 17).\nAnswer: 50*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5224976 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4602 and 1030258.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 11584398 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816.206l in millilitres?\nAnswer: 2816206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -570.3.\nAnswer: 565.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**7\/2520 - f**6\/144 - f**5\/60 + f**4\/4 + 3*f**2. Let y(t) be the second derivative of x(t). What is y(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 1. Let y be d(-3). Let m = -7 + y. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 6*a = a - 50, 0 = -4*h - a - 49. Let q = h - -27. Suppose -v = -4*s + q + 10, -4*s - 5*v = 0. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 1020.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9008956811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57934869719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/2 + 0 - 310\/(-124). Find g such that c*g + 0*g**2 - 2\/5*g**4 + 0 - 2\/5*g**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007736 rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54063613187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.40766277 rounded to one dp?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -50 (b) 2 (c) -1\/5 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4342 and 897.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -71 (b) -3\/5 (c) 36\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 379 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 11:04 AM and 12:32 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 9*o**2 - 9*o + 10. Let b be p(8). Suppose -n = -5*h + 14, 0*n = -4*h + b*n + 16. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 9:41 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -560*-13.7\nAnswer: 7672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125311, -125313, -125315, -125317, -125319, -125321?\nAnswer: -125323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-48)*1377\/(-135).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, 29, -5.\nAnswer: -5, -1, 15, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 119.48 + -11894.4186.\nAnswer: -11774.9386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 n, and 1 a when three letters picked without replacement from cqicaiiainniqniq?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 19 = -23. Suppose -10*l - 30 = -13*l. Suppose 3*o - 4*h = 20, o + 15 = -5*h - l. Solve o = g*m - 2 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -230.55668 - -230.5. Let h = j + -2.43182. Let i = h - -2.5. Round i to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = o, -h = 3*o + 3*h - 21. Differentiate z**3 - 7*z**3 - 6 + 3*z**o wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 416 and 936?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + j + j)*(2 + 1 + 0)*(61 - 61 - 2*j) to the form g + y*j + t*j**2 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 553140432 (base 6) to base 15\nAnswer: d18602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2352 (b) -1.12 (c) 0.0397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6763160, 6763155, 6763150, 6763145?\nAnswer: 6763140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*i - 29*i - 292*i - 3 - 3 - 40*i to p*i + q and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 1. What is w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (34\/204)\/(2\/(-6))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x**3 - x**2 + 6*x - 7. Let b(s) = s**2 + s + 1. Let r(w) = -15*w**3 + 7*w**2 - 8*w + 20. Let f(v) = -5*b(v) + r(v). Give 6*f(o) + 13*p(o).\nAnswer: o**3 - o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 = -3*h + 5*w, 0 = 5*h - 0*h - w + 1003. Let d = h + 205. Let b = 9 + -6. What is the least common multiple of d and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s = 36*s - 18, -3*k - 4*s + 114 = 0. Solve 77*o = 62*o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3279 at least -3282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47995, 86800, 125605?\n\"Answer: 38805*v + 9190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3732370, 3732490, 3732610?\nAnswer: 3732730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z - 2*z - 12*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 117 = 4*h, -5*h - 27*r + 100923 - 100928 = 0 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -29358*s + 203926. Give f(7).\nAnswer: -1580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3575 a factor of 668725200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -28.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + -5814?\nAnswer: -5829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*l - 44, 0 = -j - 5*l + 8*l - 4. Round j to one dp.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:42 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - -0.5. Let b = -2 - n. Let f = b - -2.999. What is f rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5267314 is divided by 159595?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36454877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/156 - 2\/((-8)\/337) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*s + 122 - 152 = 5*d, -12*d = 5*s + 98 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*n + 11, 2*g + 28 = 3*g + 5*n. Put -1, 4, g in increasing order.\nAnswer: -1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**3\/2 - 5*w**2\/2 - 6*w. What is l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-8)\/(-36)*-107)\/(4\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3625 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 2*q**2 + 3*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(5)*6 + sqrt(42) + (-1*sqrt(5082) - sqrt(5082)))\/(2*sqrt(384)*-4))**2.\nAnswer: 1575\/4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 201413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27180 and 720?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k - 6*k + 0*k - 14*k to the form o + a*k and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 times -95.79?\nAnswer: 13.4106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 5*n = 15. Solve -4*f = f + 2*d + 10, -2*f - n*d - 15 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/28392704 and -37\/64.\nAnswer: 28392704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 40 = -15*q. Is 38 a factor of (23 + 2 + -6)*q*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438.4207464 rounded to the nearest ten?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 153386280 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 108357\/(-38)*(-4)\/(-6). What is y rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose f*g = 4 + 17. What is the least common multiple of g and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2124, 3\/8, -0.2, 4 in decreasing order.\nAnswer: 2124, 4, 3\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41500 = 67*c - 72*c. What is c rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -13, 32, 2, -5.\nAnswer: -65, -13, -5, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 500 = 18*f. Is (-16078)\/(-6) + f\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-77 - -50 - (-6 + -15)) - 141.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -25.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let i be s(-3). Let n(x) = -5*x + i*x + 0*x. Let g(l) = -6*l**2 - 2*l**2 + 6*l**2. Calculate n(g(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 102676.95 rounded to the nearest 10?\nAnswer: 102680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4707781 millilitres to litres.\nAnswer: 0.0004707781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 4)*(-228*l + 36*l - 368*l) to z + t*l and give t.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -106, -120, -148, -190, -246?\n\"Answer: -7*d**2 + 7*d - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 210110 (base 3) in base 14?\nAnswer: 2d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -66*o - 1\/3*o**3 - 1\/12*o**4 - 2 + 1\/40*o**5 + 1\/120*o**6 + 0*o**2. Suppose d(t) = 0. What is t?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 2 + 0*r + 3*r + 13*r + 0*r**3 in the form m*r**3 + d + f*r + c*r**2 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -8*n + 16*n. Let q = 27 - 18. Calculate the greatest common divisor of q and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.16689 nanometers?\nAnswer: 0.00716689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1174371355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6789\/310 + -21)*10\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 1 + z + z**2 - 2*z**4 - 7*z**2 - 2*z**3 - z**2 to the form p*z**2 + b*z**3 + l*z + d + o*z**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261 plus 111.8?\nAnswer: 3372.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 + 5*n - 8. Determine h(-6).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 140, -1\/140, 3 in descending order.\nAnswer: 140, 3, -1\/140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o. Let b be a(1). Suppose -4 = b*q + 1. Which is greater: q or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence div when three letters picked without replacement from usvdisidiuis.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: cb8 (base 15) to base 5\nAnswer: 42443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1963430737 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + -2 + (0 - 1). Let l(w) = 7 + 18*w**3 - g*w + 5*w - 5. Let x be l(-3). Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9\/2476 (b) 5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3\/2, 0.1, -43?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 155680.8789 to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3126, -6420, -9860, -13434, -17130?\nAnswer: -20936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/75)\/((-248)\/1860). Which is greater: s or -1\/8458?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*l, 41*q + 17 = 46*q - 3*l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -64603 and 11726.\nAnswer: -52877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, 1, 5, 2, -1\/8, -1\/22 in decreasing order.\nAnswer: 5, 2, 1, 2\/25, -1\/22, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + 4114?\nAnswer: 4040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 0.4, -2\/85, -0.022, -0.5?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8559.43 millimeters in nanometers?\nAnswer: 8559430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 3. Suppose s - l*i + 2 = 0, -15 = -5*s + i + 13. Suppose 2*n + 40 = s*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -161\/64 or 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 8. Let t = 0.3 + -0.4. Let o = 1.1 + t. Which is the closest to d? (a) 0.1 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -2*y**6\/15 + y**2\/2 - y + 9. Let i(o) be the first derivative of q(o). Differentiate i(t) wrt t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 63*s - 504. List the prime factors of r(46).\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 20 - 7. Is 1\/1 + 6642\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**5 - 267*y**4 - 1776*y**3 - 4488*y**2 - 4944*y - 1968.\nAnswer: -3*(y + 1)*(y + 2)**3*(y + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Let i = 34 + -32. Solve -q*z - i = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5056 divide 407200128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.3 - 1.41091708443.\nAnswer: -22.71091708443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 divided by -118?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*w**4 - 2*w + w**4 - 5*w + 4*w wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-379)\/(475266\/(-228)))\/(-3*753\/(-99))\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*c + 28 = 0, 2*s + 33 = -5*c + 4. Let w be 349\/(((-5)\/(-100))\/(s\/4)). What is w rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**7\/30 + p**6\/30 - 113*p**5\/60 + 26*p**2. What is the third derivative of c(k) wrt k?\nAnswer: -168*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8918 rounded to 2 decimal places?\nAnswer: -3.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -2*n**7\/21 - n**3\/6 - 5*n + 2. Let a(z) be the first derivative of k(z). Find the second derivative of a(v) wrt v.\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002 - -3202?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -9 (b) -16 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-22)*z**9 assuming z is positive.\nAnswer: z**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(-2*i + 5*i - 4*i) + (-3 + 6 - 1)*(-2 + 2 - 2*i) - i - 3*i + 3*i + i + 0*i + 0*i - 2*i - 1 + 1)*(-24*i**3 + 67*i**3 + 104*i**3).\nAnswer: -1029*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + ((-675)\/(-162) - (-2)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((2 - 5) + 2)*0. Suppose a = 4*w - 5 + 21. Let r = -1861\/78 + 308\/13. Put -5, r, w in descending order.\nAnswer: r, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.235265 - 126804387?\nAnswer: -126804386.764735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*z - 19*z + 21*z - 161 + 159 - 32*z.\nAnswer: -77*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.9. Let u = p + -2.1. Let q = 2 - 1.8. Which is the biggest value? (a) q (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p - 8. Let b(u) = -20*u - 148. Let x be b(-7). Let w(d) = 3*d - 23. Calculate x*q(y) + 3*w(y).\nAnswer: y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 22. Let o(c) = -3*c + 48. Determine -2*o(g) - 5*u(g).\nAnswer: -9*g + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -212d2 (base 16) to base 15\nAnswer: -2a3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**2 + 41*h + 4. Let c be w(4). Suppose -6 - 10 = -c*p. Factor 3\/2*l**p - 3\/2*l**4 - 3\/4*l + 0 + 0*l**3 + 3\/4*l**5.\nAnswer: 3*l*(l - 1)**3*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 13*l = -2*n + 3714, l = 5*n + 956. Let f = 1596 - l. What are the prime factors of f?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/167379 and 2\/836895.\nAnswer: 836895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4588 + 342b9?\nAnswer: 2b931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2159 and 92207.\nAnswer: 90048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154875\/44 - 1227657\/176. Let q = a - -3452. Find the common denominator of -97\/22 and q.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2 - 12. Suppose 4*t - 3 - 1 = 0. Suppose -t = -j + x. Solve 2*l + 0*z + 5 = z, -j*z = 2*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 - 164.932. Let q = k + 0.032. Which is the nearest to 0? (a) -0.5 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 174*a + 175*a - 532*a + 180*a + 4*a**2. Let u(g) = -14*g**2 + 5*g. Calculate -3*u(h) - 5*z(h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51922.\nAnswer: 2, 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2 + 1 - 8*f**2 - 2 + 249*f - 252*f. Give s(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j - 3. Let m(r) = 2 + 3*r**2 + 2 + 4 + 17*r. Let w be m(-5). What is x(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 - 4\/4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*((2 - -1) + -2). Let f(v) = 5*v - z*v + 18*v**2. Let w be f(-1). Solve -2*p - h = -1 - 0, -p + w = 4*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -32, 2 in increasing order.\nAnswer: -32, 2, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3500*n**3 + 18*n**2 - 4*n - 6. List the prime factors of g(-1).\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 9*b - 8. Give h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 10:08 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3400432*l + 3400434*l + 12*l**2 - 14*l**2 - 6800872*l.\nAnswer: -2*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((105\/504)\/5)\/(2\/6).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 5. Let y(a) = -14*a + 564. Calculate 4*r(j) - y(j).\nAnswer: 2*j - 584","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (25\/20)\/((-4)\/(-96)) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*n**5 - 6*n**4 - 7721*n**3 - 2811*n**2 - 1665?\nAnswer: -300*n**2 - 144*n - 46326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 27, 25, 23, 21, 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 22. Let h(z) = z**3 + 10*z**2 + 8*z - 5. Let j = -25 + 16. Let v be h(j). What is the greatest common factor of d and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.667*1593\nAnswer: -26550.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -994 + 1137. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 1601\nAnswer: 800.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88637905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmi when three letters picked without replacement from {k: 1, e: 2, i: 1, m: 1, a: 1, t: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6500*i - 6491*i - 18882 = 0. What is the remainder when i is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6660 and 12?\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1120)\/(-48)*(2 - -1). Let m be (30\/(-35))\/((-2)\/j). What is the greatest common divisor of m and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -137, 3358 in ascending order.\nAnswer: -137, 41, 3358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-126)\/(-14) - (3 + -6 - -6). Suppose s = 3 - 0. Let d be s\/(-9) - (-92)\/6. What is the greatest common divisor of c and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k + 17. Let b(s) = -s. Let n(x) = 5*b(x) - i(x). What is the remainder when 82 is divided by n(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*g + 40*g + 56*g as a + t*g and give t.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*j - 2*j. What is the tens digit of j\/(-2) + 19 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 227.638 from 0.35.\nAnswer: -227.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -148, -0.04, 1\/3, -5?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 5*t - t - t**2. Suppose -14*a - 63 = -5*a. Let m(n) = 9*n**2 + 11*n. Determine a*f(g) - 4*m(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/25 greater than 3\/1931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15d3d (base 16) to base 15.\nAnswer: -1b755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 2*t**4 - 11 + (4*t**2 + 3*t**2 + 0*t**2)*(-t**2 + 3*t**2 + 0*t**2).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3067 times -0.1?\nAnswer: -306.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 15 + (-6 - -3). Calculate the common denominator of 31\/o + 12\/(-4) and (-3930)\/72*-2*(-1)\/10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 98424.36cm?\nAnswer: 984243600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:25 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/246504 or -1?\nAnswer: -7\/246504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 45 = -4*m. Let i(t) = m*t - 2*t + t + 2 - 3*t. Let x(j) = 4*j + 2. Suppose 3*u + 3*k + 2*k + 21 = 0, 0 = 2*k + 6. What is u*i(v) + 3*x(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, 2, -0.2, 51\/22, 36 in increasing order.\nAnswer: -0.2, 1\/3, 2, 51\/22, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-84))\/((-361)\/57))\/((-2)\/(-4))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.16 and 7004.\nAnswer: -218244.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let o(h) be the third derivative of 5*h**4\/8 - 30*h**2. Calculate o(w(b)).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 - 939*x + 15177. Determine u(15).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -4)\/((-9)\/60). Let z = r - -25. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 20 = 3*j. Differentiate -15 - 38*m**3 + 2*m**2 - 41 - 24 - j - m**2 wrt m.\nAnswer: -114*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**4\/12 - 3*g**3\/2 + 15*g**2. Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10385b7 + 3?\nAnswer: -10385b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*d - x + 3, -4*d = 2*x - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 3)*(63*n - 256 + 256)*(-4*n - 8 + 8)*(23*n**2 - 20*n**2 + 12*n**2) as l*n + h + o*n**2 + j*n**4 + u*n**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -857 - 362. Solve 4*k + 8 = a, 41 = 3*a + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(20) - sqrt(720))*-6)\/(sqrt(280)\/sqrt(7)) + -4)**2.\nAnswer: 30*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)\/((-1)\/4). Let q = -1 + 1. Let h be y + q - (0 - -1). Let z(c) = 2*c**2 - 2*c - 4. Determine z(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 2*z)*(-2*z + z - 3*z) + 287*z**2 - 693*z**2 + 250*z**2.\nAnswer: -152*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*p - 13. Let k be (1 - -1)*p\/2. Which is the smallest value? (a) k (b) -1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n - 9 = 0. Suppose j = n + 1. Suppose -j*d - 3 = -5*d. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 12*o. What is the tens digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/180 - z**4\/72 + 136*z**2. Suppose q(l) = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.5 + 0.5. Let n be ((-236)\/(-72) + -3)*(-1164)\/30 - -11. Which is the third biggest value? (a) n (b) 3 (c) -0.3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 93c6465?\nAnswer: -93c6469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -413753992.1 + 413753958.09999906. Let t = -34 - a. What is t rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**7\/(s*(s\/s**6*s)\/s)*s**6\/s**(5\/2) assuming s is positive.\nAnswer: s**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1920 divided by 3?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*d**3 + 2790*d**2 - 1159135*d.\nAnswer: 150*d + 5580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 6*o + 5. Let r be s(-5). Let f(b) be the second derivative of 1\/9*b**3 - 1\/30*b**5 + r + 0*b**4 - 2*b - 1\/90*b**6 + 1\/6*b**2. Solve f(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 4687629?\nAnswer: 4687628.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(6*u - 5*u + 0*u)*(0*u**3 - u**3 + 7*u**3).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*l + 6, 2*s - 2*l + l - 6 = 0. Suppose -2*q - w = -64, -6*q + 21 = -5*q - s*w. List the prime factors of q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-16 - -22) + (2 - 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.40052 to 0 dps.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3492 and -59\/114953148.\nAnswer: 114953148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 9.667095?\nAnswer: 9.667095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6) - ((-3)\/6)\/(-1). Which is the closest to 0.2? (a) -1\/5 (b) u (c) 7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-88) - 5\/(110\/(-48)). What is the derivative of 11*u + 12*u**z - 1 - 22*u + 11*u wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(91)*6)\/(-6*sqrt(448)).\nAnswer: -2 - 3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(126\/(-80)))\/((48\/120)\/((-72)\/20))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/7 + 8*a**4\/7 - a**3\/7 - 8*a**2\/7.\nAnswer: a**2*(a - 1)*(a + 1)*(a + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -882*g**3 - 19*g**2 - 25*g. Let h be d(-25). Round h to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -3, 33, -1, 2\/3, -5, -21 in decreasing order.\nAnswer: 33, 2\/3, 0.01, -1, -3, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3854256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2. Let l(b) = -9. Let t(w) = -2*l(w) - 10*q(w). Let y(z) = 1. Let j(h) = -3*t(h) - 4*y(h). Let x(v) = v + 1. Determine -j(c) + 2*x(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19950*j + 32454 = 19349*j for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 5*d - 360, 5*i + 3*d + 400 = -0*d. Let w = -54 - i. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*f + 55. Let m = f - 8. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/27, 2, 5\/2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 300 = -23*o. Let a = -45 + o. Suppose -5*b + 8*d = a*d - 556, 5*d = -5*b + 540. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11560 = -33*a + 23*a. What is the smallest common multiple of a and 10?\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5182418 micrograms in tonnes?\nAnswer: 0.0000000000005182418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4846 - 1b2b?\nAnswer: -6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -1)*-3 - -6. Let d be -1*(m + 14\/(-2)). Differentiate d*a**3 - 1 + 5 - 3*a**3 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -78, 1\/3, 3\/4, 1\/61?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 4:57 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 811, 813, 815, 817?\n\"Answer: 2*v + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-2\/9)*g**(-3)*(g**0)**(3\/2))**(16\/9) assuming g is positive.\nAnswer: g**(-32\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 586465 rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127355.\nAnswer: 5, 25471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -89.29. Let c = -0.39 - q. Let h = 17.8 - 20. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 26*b + 4. Let w be 22\/3*9\/(-6). Let r be j(w). Let i = r + -75. Let o(q) = 3*q + 1. Give o(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10.5. Let s = -8 - -3. What is the nearest to 0.1 in s, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49654 divided by -24827.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5488 divided by 686\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/1*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -12. Suppose -4*f = 5*v - 405, -o*v = -0*v - f - 162. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(891)*-4*-3*1.\nAnswer: 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + -22521?\nAnswer: -23022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 53 (b) 4 (c) -75 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(130)\/(sqrt(30)\/sqrt(3)))**2)*-4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 146 = -2*n + 4*p, -p = -3*n + 176. Suppose n = x + 2*x. Round x to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 1416*x - 28550. Give l(20).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149*l*p**2*t**2 + 23533*l*t**3 + 4940984*p**2*t**2 + t**3 wrt l.\nAnswer: 149*p**2*t**2 + 23533*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 28. Let a be c(-11). What is the fourth biggest value in 0.4, 0.1, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.98 + -0.68. What is the third biggest value in -7, n, -1\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = l, 4*l = -4*d - d - 10. Let s be 3 + (-27)\/(-12) + l. What is the third smallest value in -4, -0.1, 1\/38, s?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 9*o**2 - o + 11. Let z be h(9). Let d be (2 + (-16)\/2)\/z. Sort d, 1\/2, 2\/7 in descending order.\nAnswer: 1\/2, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31796067*b**2 - 158*b + 284255?\nAnswer: -63592134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55\/104 - -2479\/3016. Let z = -15\/21824 + -16213927\/1898688. Let m = w - z. Calculate the common denominator of 40\/3 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 216 or -77585?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 133 = 2*t. Find the first derivative of -27*a - 11*a - 106 - 4*a**2 + t*a wrt a.\nAnswer: -8*a - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*(sqrt(70) + (2*sqrt(70) - sqrt(70)) + sqrt(70))*6)\/(sqrt(1210) - -1*sqrt(1210)*5 - 3*(sqrt(1210) + -2*sqrt(1210))).\nAnswer: 16*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 108 = 2*f, -3 - 5 = -y + 3*f. What are the prime factors of (6 - y\/2) + 139?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o - 110155817 = 106104183. Round o to the nearest 100000.\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.07 and 5876936967?\nAnswer: 5876936953.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/9 - 64*k**3\/9 + 148*k**2\/3 + 1088*k\/9 + 578\/9 = 0. Calculate k.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:48 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/9476 and 99\/287180?\nAnswer: 680329420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1560)\/(-806) + (5 - 7)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 4\/3*z**3 + 0 - z + 0*z**2. Let g(c) be the second derivative of c**3\/6 + 6*c. Give g(x(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3534*i - 2413 + 2413 + (-1 - 2 + 1)*(-5*i + 0 + 0) to v*i + w and give v.\nAnswer: 3544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10083?\nAnswer: 3, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2. Let a(k) be the first derivative of 8 + 1\/2*k**2 + 0*k. Determine o(a(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**3 - r**2 + r - 4. Calculate q(-3).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**3 + 0*m**3 + 5*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/20472 and 121\/4992.\nAnswer: 4258176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1682 (base 15) in base 9?\nAnswer: -6575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2439, 9764, 21971, 39060, 61031?\n\"Answer: 2441*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -3. Let r be (-22)\/(-77) - (-16)\/(-7). Put g, r, 4 in decreasing order.\nAnswer: 4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -763, -6074, -14963, -27460, -43595?\n\"Answer: -5*u**3 - 1759*u**2 + u + 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + sqrt(1539) + 0)*-2)**2.\nAnswer: 144*sqrt(19) + 6169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456 and 29697.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 16*l - 16. Let c be m(14). Find the common denominator of -22\/3 and (-3)\/c + (9 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103100 (base 8) to base 5.\nAnswer: 2044433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7240 = 913*o - 1177 - 1520 + 19195 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b95e + 2?\nAnswer: -1b95c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 g when four letters picked without replacement from xgxxxxg?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3363 and 428222?\nAnswer: 1284666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 7*m**2 + 10*m - 12. Let z be b(8). Solve -19 + z = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49.44 - 49.5. Which is the nearest to -0.2? (a) s (b) 99\/2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -17.07?\nAnswer: -6.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 10:38 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**5\/20 + z**4\/3 + z**3\/6 - 5*z**2\/2 + 43*z + 1. Let r be j(4). Sort -4, 7, r, 4.\nAnswer: -4, r, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 - 292\/12)\/12)\/(108\/96). Is n at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -340*c*o**3 - 3*c*o + c + 31334*o**3 - 2*o**2 + 1101205*o + 3 wrt o.\nAnswer: -2040*c + 188004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(2 + (-10)\/4))\/(255 + -239).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/3, 1\/8, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -3*((sqrt(68) - (sqrt(68)*2 + sqrt(68) - sqrt(68))) + sqrt(68) - sqrt(68) - sqrt(68)) + sqrt(2448) + -1 + sqrt(2448) + 0 + -5)*3)**2.\nAnswer: -5184*sqrt(17) + 198864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from kuuuk.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {a: 7, z: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16168, -16070, -15910, -15688?\n\"Answer: 31*m**2 + 5*m - 16204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 25*l**2. Let n(m) = -3*m**2 + m. Let a(q) = -38*q**2 + 12*q. Let w(c) = a(c) - 12*n(c). Calculate w(s(t)).\nAnswer: -1250*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/6, -0.3, -368125, 2\/11, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2686 and 158.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/148*(-32)\/(-104).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d357d + 6?\nAnswer: d3585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4813, -1, 1, 0.1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 + 3*s + 4. Let h(p) = 6*p**2 + 5*p + 7. Let x(v) = -v**2 - 13*v - 3. Let q be x(-13). Give q*h(z) + 5*w(z).\nAnswer: -3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*w - 8*w. Let q(h) = -8*h - 4*h - 120 + 118. Does 14 divide q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5070*j + 204887 + 150013 for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3905791 + -17652995. Let l = -220094743\/16 - g. Let m = l + 8721. Find the common denominator of 97\/18 and m.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(104) + 1*sqrt(104)))\/(sqrt(128)*-5)*4*-2.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6951 - 0?\nAnswer: 6951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - -14 - 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 31*n**2 - 606*n + 2420. Give a(4).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 1)*(370*j - 118*j - 81*j).\nAnswer: 855*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3960*r + 7935*r - 3972*r + 362 as k + u*r and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 6*i**2 + 3*i + 4. Let t be n(-4). Let d = -14 - t. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.75 (c) 6 (d) -4 (e) -111\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**5 - 777*a**4 - 25257*a**3 - 12207*a**2 + 377016*a - 490620 = 0?\nAnswer: -221, -37, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {j: 1, u: 2, i: 4, r: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + q + 2*q)*(49 + 32 - 4)*(26 + 6 - 7).\nAnswer: 3850*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 9153750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 871859109 to the power of 1\/2, to the nearest integer?\nAnswer: 29527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187*p**3 + 239*p.\nAnswer: 1122*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1088))*-6 + sqrt(1088).\nAnswer: -40*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 23*q + 304. Let r be y(-9). Which is smaller: r or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 13.91?\nAnswer: -16.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-9 - ((-3 - 0) + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l + 2712 - 8133 + 2709 - 2*l + 2712.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.1. Let u = 75.9 + -72. Let c = u + g. Sort c, -1\/2, -2\/7 in descending order.\nAnswer: c, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -2 - (7254\/(-110019))\/(117\/(-24864)).\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 21*n + 46. Calculate y(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/97889485 and 65\/11679.\nAnswer: 293668455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -1\/72776683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:22 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - 60. Suppose 0 = 5*i + 60 - 170. What is the smallest common multiple of i and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1626944 is divided by 26671?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f**2. Let o(w) = 3911*w. Calculate o(x(t)).\nAnswer: -31288*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 4 (c) -0.1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -35, 3 in descending order.\nAnswer: 3, 2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 23*a = -8 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 38. Let i be -1*1 - (-12)\/j. Let s be 20\/100 - (-1)\/45. Which is the third smallest value? (a) i (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*r + 231, -178 = -2*v + r - 35. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 24 + 42 = 0. Let t(n) = n - 3. Let q be t(14). What is the units digit of q + 3\/(-3) + s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 24\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - o**2 + o**2)*(3 - 18*o**2 + 0 - 5).\nAnswer: 36*o**5 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/11)\/(-1*2\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, 0.4, -54, -5\/4, -4 in decreasing order.\nAnswer: 10, 1, 0.4, -5\/4, -4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 719545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.33694 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/64)\/((-9)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 - (12 - 15) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 459673838 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6804 + -6904. Let d = 20105097124 + -20105097024.00000153. Let p = h + d. Round p to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12460 + 39323. List the prime factors of j.\nAnswer: 26863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 168 in -3, 4\/7, -2\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*o - 19 = 0, -2*r + 3*r + 4*o + 3 = 0. Solve 0*b + b + 4*f = -r, -b + 5*f + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/14943 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -19*z + 5*z. Suppose 41 - z = 4*g. What is the least common multiple of 12 and 9 - (g\/6)\/(2\/6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-12)\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 159\/(-99)*-3 - 1 and 24\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*r + 390*r + 88 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/186605 or 1?\nAnswer: 12\/186605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 504 = 9*v. Let g(p) = 2*p + 3*p + v*p**2 - 30*p**2 - 3*p - 22*p**2. Let i be (-3)\/(-2)*8\/(-6). Calculate g(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20841 + 20992.81. Let m = f - 152. Let v = -2.19 - m. Sort 0, 2, v, -1\/11 in ascending order.\nAnswer: v, -1\/11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-14))\/((4277\/2366)\/47)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - h - 5*h - 2*h. Let w(u) = -u**2. Calculate w(t(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83128 by -2546.\nAnswer: 41564\/1273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 20162*f - 2479. Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*n = -18, -3*w + 236 = -3*w - 17*w - n for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) 83\/330 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115.2 + -115. Which is the closest to -1\/2? (a) -3 (b) -3\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 0.3, 2762, 12044?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*l + 47*l - 87*l)*(-4 + 0 + 7) - 2*l + 5*l - 2*l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, z: 6, k: 2, q: 4}. Give prob of sequence kz.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*c + 53 = 0, -b + c = -0*c - 11. Suppose 111*g + 24 = 114*g. Let i = g - -1. What is the greatest common divisor of i and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 18. What is r(10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f - 2*f + 3*f - 4*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgj when three letters picked without replacement from jjgjuggg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j + 339. Let b be d(-42). Suppose -2*r - 5*g + 930 = 0, 4*g = -2*r - b*r + 2359. Calculate the greatest common factor of 75 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2. Let n(b) = 3*b**2 - 3. Let j(x) = 4*x**2 - 2. Let l(m) = 3*j(m) - 2*n(m). What is l(f(z))?\nAnswer: 96*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170347191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c**2. Let f(z) = -4*z**2 + z**2 + z**2 + z**2. Calculate f(q(h)).\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26412610 and 1230?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 381 + -1231. Let f be 1 + (-2 - -2) + 1. Let r be w*(f - 1) - 0. What is r rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -2) + -2 - -1. Suppose 10*b = -2*t + 5*b + 19, b = h*t - 13. Which is greater: 27\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341548 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 17*n**2 - 2*n - 1. What is the remainder when b(-1) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9 = -5*v, k - 4*v = -2*k - 9. Let g = 5 + k. Let m be 10\/8 - g\/8. Is 0 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b + 54. Let k be w(-5). Find the second derivative of -2*p**4 - 4*p - 5*p**2 + 0*p**k - 38*p**3 - p**2 + 39 + 6*p**2 wrt p.\nAnswer: -24*p**2 - 228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1692 + 725. Let y = b + 2022. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 5)*(52 + i**2 - 52) + 0*i**2 - i**2 + 3*i**2 - 33*i**2 + 59*i**2 - 31*i**2 - 4.\nAnswer: -2*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + j + 1. Let s(l) = -l**2 - l - 1. Let k(p) = 2*g(p) + 3*s(p). Let v(o) = o**3 + 2*o**2 + 2*o + 2. What is 2*k(m) + v(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from oeerrrer?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:21 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + -7.7. Let j be 2\/12 - 9\/(-6). Let d = 0.578 - 5.578. Which is the third biggest value? (a) j (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2235)\/12516*(-8)\/(-5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 10, 2.\nAnswer: 1, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -41352?\nAnswer: -1\/13784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2548*d + 107960 = -2544*d. What are the prime factors of d?\nAnswer: 2, 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(6\/7)*t)*t*t*t**(2\/7))**(-15))**7 assuming t is positive.\nAnswer: t**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 3*g - 169, 3*g = 9. Let b = -77 + r. Let m(v) = 3*v**3 - 2*v**2 - 6*v + 1. Is 18 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*o - 6. Suppose r = o*r - 12. Let d(z) = 3*z + 3. Is d(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - c952?\nAnswer: -c954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 115, 214, 313, 412, 511, 610?\n\"Answer: 99*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 39*x - 5. Let m(i) = i**2 + 8*i + 5. Let o be m(-8). Let n(p) = -20*p + 3. Let u(l) = o*n(l) + 3*j(l). Let s(z) = 4*z**2. Calculate s(u(q)).\nAnswer: 1156*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*2*-4. Suppose a*d + 0*d = 320. Suppose 5*v = 2*s + 2*s + d, s - 19 = -2*v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063386482 to three decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110111001110 (base 2) in base 5?\nAnswer: 1114133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-3) + (-12)\/18. Find the second derivative of 7*k**4 - 11*k**4 - j*k**4 + 8*k wrt k.\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - 7 - 15925)\/(5\/(-2)).\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 1102*r**3 + 4*r**2 - 322*r + 319. What is w(1)?\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 13, y: 3, s: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 7:25 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -271 + 266. Is 0 - (p\/(-4) - 2)*1916 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 4*s - 3. Let t be j(-3). Suppose -4*c + t*q = -q - 49, -2*q + 46 = 4*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*35\/56*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Suppose 40 = 5*n - 5*c, -t*n + 10 = -3*c - 18. Let d be 2\/n - (-13)\/2. Solve 2*u = -v + u + 5, 3*v - d = -u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 6*g**2 + 4*g - 4. Let b be z(4). Let p = b - -28. Let t = -6 - -12. Calculate the least common multiple of p and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**10\/529200 + g**9\/211680 - g**5\/30 - 2*g**2. Let r(w) be the third derivative of k(w). Factor r(v).\nAnswer: 2*v**3*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2972.7 + -2791. Let z = -182 + v. Sort z, -1\/4, -2.\nAnswer: -2, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r - 2*r**3 - 1 - 5*r - 2*r**2 + 2*r + 3*r**4 to the form t*r + a + s*r**2 + u*r**3 + c*r**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**7\/735 - k**6\/210 + k**4\/42 + k**3\/21 + 13*k**2. Determine x, given that g(x) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 15*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768, -1401, -1992, -2547, -3072, -3573?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -4 - 223\/(-1 - (-4)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153276?\nAnswer: 2, 3, 53, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101112 + 31320220?\nAnswer: 31213102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 71 - 287 = 0. Solve 8*j = 2*j + m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -68*c + 62. What is the lowest common multiple of k(-5) and 938?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*y - 5*c, y - 2 + 5 = 2*c. Suppose n - q - 2 = 0, -y*q - 8 = 3*n + q. Solve n = i + 1 - 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*m - 3*m + 65, 3*m - 27 = -g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x - 52*x = -33*x - 88026. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**4 - 44*a**4 - a + 13*a**4 + 17*a**4 + 36*a**3 to m*a**2 + i + f*a**4 + c*a + o*a**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*l - 130, 10*w - 5*w + 24 = 2*l. Suppose -p + 0*p + 4*d - l = 0, -2*p - d - 8 = 0. Which is smaller: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -62, -27, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -63\/16 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 269446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 14) to base 15.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193824897.\nAnswer: 3, 7, 9229757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 2:48 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6218257 is divided by 163.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24459 - -24463. Solve -k*i - s - 21 = 0, -148*s = i - 144*s + 24 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(3 - 4 + 2 - 8*t - 4*t + 5*t - 3*t + 0*t + 2*t - 4*t + (3 + 1 - 3)*(-4 - 2*t + 4) - t + t + t + 3*t - 2*t - 2*t).\nAnswer: -42*t + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0*l + 2*l - 26 = 0, 5*d - 4*l - 36 = 0. Let c(p) = -176*p + 70. Let s(v) = -117*v + 47. Let k(w) = d*s(w) - 5*c(w). Differentiate k(o) wrt o.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0 - 1\/2*v**3 - 1\/2*v - v**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 z when four letters picked without replacement from {w: 6, h: 1, z: 3, p: 2, d: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 104*c**3 + 11*c**2 + 78*c + 6. Let a(z) = -3*z**3 - z**2 - z - 1. Let f(i) = -6*a(i) - y(i). Find the third derivative of f(v) wrt v.\nAnswer: -516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, 3, 20\/3, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7.5. Let u = s - 4. Let j be (-4)\/(-14) + (-60)\/112. Which is the smallest value? (a) u (b) j (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from mmffosmusmffs?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2, -4, 5 in descending order.\nAnswer: 5, 2, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3075045*y. Let s(m) = -6*m. What is s(q(f))?\nAnswer: -18450270*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 22440160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 1:47 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 3*t - 149*t**2 - 5*t - t**3 - 12 + 141*t**2. Let a be f(-7). Solve 2*l + 0*l - 6 = 0, -3*i + 12 = a*l for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 4*i + 10. Suppose -4*a - 2*h + 268 = 0, 4*h = a - 34 - 42. What is the remainder when a is divided by v(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 116 - 78. Calculate the highest common divisor of d and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.5 * 11877.862.\nAnswer: -41572.517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375898, -375325, -374742, -374143, -373522, -372873, -372190, -371467?\nAnswer: -370698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -176291899 and 58.\nAnswer: -176291841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1865 = -3*q - 497. Suppose -a - 2*a + q = 3*m, -4*a + 459 = 3*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37651 and -19.48.\nAnswer: 733441.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 0.3 (c) 3\/8 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50 - (10 - (-13 - -11))) + -3 + 1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 4?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -57 - 25. Let k = x + 60.2. Let p = -22 - k. Which is the nearest to -3? (a) 0.1 (b) p (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**3*t + 620*m**3 + 148*m*t**2 - 2*t with respect to t.\nAnswer: m**3 + 296*m*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108283458 divided by -1?\nAnswer: 108283458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -y + 18, 40*p - 44*p + 10*y - 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*p + 4 + 4 - 8 in the form d + l*p and give l.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 8*a - 3. Give k(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3182 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33020912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -9290\nAnswer: 27870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.0065 (c) 2 (d) -2 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 9, -12, -51, -114, -207, -336?\n\"Answer: -l**3 - 2*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:41 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 - 20459*m - 61380.\nAnswer: (m - 61380)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + q - 2*q**4 + 2*q**2 - q + 2*q + 0*q**4.\nAnswer: -2*q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 12 = -17*j. Let h be 4\/10 + (-108)\/20. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 76. Suppose 5*u + 5*z - 65 = 0, -54 = -5*u - 4*z + a. Solve -2*b - u = -r, -1 = 4*r - 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 681562?\nAnswer: 681566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((6\/(-9))\/(2\/(-33))).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -644 and -8.\nAnswer: 5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 159*i**2 - 7*i + 4. Let v be b(4). Round v to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -z, -h - 2*z + 4 = -2. Let r(b) = -b**3 + 7*b**2 - 2*b - 18. Let k be r(h). Let g = k - -25. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 1) + 3 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -46. What is the smallest common multiple of b and (-2)\/8 + 90\/8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**3 - 34*t**3 + 70*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1654 - -5.8346. What is the second biggest value in 4, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4854 is divided by (-27 + (-954)\/(-36))*11*-4 + 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*n = -2, -3*n = 12*d - 7*d - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 265209\/3608 less than or equal to 73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2862*x**3 + 2983*x**3 - 8938*x**3 + 2946*x**3 + 2*x**2.\nAnswer: -147*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/28)\/(7\/28). Sort 4, -4, -1\/8, z in decreasing order.\nAnswer: 4, -1\/8, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -311.294 and 23644566.\nAnswer: 23644254.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1655.4 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 90?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 6*r**2 + 2*r + 2. What is b(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -68220 and -0.8.\nAnswer: -68220.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 + -81.00000013. What is p rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -1, -3, 20 in descending order.\nAnswer: 20, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12557754, 12557797, 12557840?\nAnswer: 12557883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*u + 3*q, 77420*q = 77415*q + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 90556*d**2*g**2 - 3*d**2*g - 4*d + 1803*g**2 - 2*g - 232 wrt d.\nAnswer: 181112*d*g**2 - 6*d*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89150 + 27*t**3 - 89150.\nAnswer: 27*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, g: 2, j: 5, f: 3, q: 4}. What is prob of sequence qq?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 321*v - 100. Let o(c) = -640*c + 198. Let r(j) = -7*g(j) - 3*o(j). Is r(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgraga. What is prob of picking 1 a and 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 68 (c) 3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17445*c + 42112 + 64158 = -28241 - 74829 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103111 (base 4) to base 14.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 49092*-27\nAnswer: -1325484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28.9 - -29. Let f = -0.02 - -0.32. Let g = -0.31 + 0.01. Which is the nearest to g? (a) -1 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**5 - 348*w**4 + 4980*w**3 - 15556*w**2 + 10920*w = 0.\nAnswer: 0, 1, 3, 13, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 + 16*p + 16. Let h(o) = -2*o**2 + 18*o + 16. Calculate -8*f(b) + 7*h(b).\nAnswer: 2*b**2 - 2*b - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 - w**2 + 2918*w + 5845. Give h(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-4)*f))\/f*f*f**(-3)*(f**(-2\/5)*f*f)**0 assuming f is positive.\nAnswer: f**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 10*q**2 + q + 2. Let g be p(5). Suppose 10 = 2*l + 5*o, 0 = -4*l + o - g + 27. Let f(u) = u**3 - 3*u**2 - 5*u - 1. Is 10 a factor of f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.0907 millilitres to litres.\nAnswer: 0.0280907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-73)\/2847)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17479724 rounded to the nearest one hundred thousand?\nAnswer: 17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1314 or -975?\nAnswer: -1314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*t + 2114, -x - 1 = -0*x. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7908481?\nAnswer: 7, 23, 49121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1) - 6*(-5)\/10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145655327 rounded to the nearest 1000000?\nAnswer: -146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 25 = 9*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 6. What is the smallest common multiple of 27 and t(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -0.3 (c) 2.04 (d) 16 (e) -0.066\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + j - 9, 2*w - 5*j - 12 + 3 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 8351?\nAnswer: 834b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 129691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10165281.67*-0.3.\nAnswer: 3049584.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -816 + 61a?\nAnswer: -1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - n**4 - n**5 + (2 - 2 - n)*(n**4 + 0*n**2 + 0*n**2) + n**5 + 2*n - 2*n + n**3 - 13*n + n**4 - 870463 + 870463 + 3*n**5.\nAnswer: 2*n**5 + n**4 + n**3 - 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -2 (c) -5 (d) 0.72\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 + -58. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1272.086 and -0.318?\nAnswer: 404.523348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 7:27 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 208144160 a multiple of 2224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*t + 30707 = -20905 for t.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3069825 and 55815.\nAnswer: 3069825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2884 + 2884.2. Put r, -1, 99 in increasing order.\nAnswer: -1, r, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10935386789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 377286*t**5*u - 2*t**5 + 34*t*u + 2*t + 200*u - 4 wrt t.\nAnswer: 7545720*t**3*u - 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 2. Let b be w(-4). Find the third derivative of 3*j**2 - 3*j**4 - 2*j + 0*j + b*j wrt j.\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.1 + 8. Suppose -2*w - d = -w - 5, 3*d = -5*w + 21. What is the closest to s in -4, -7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/65 and 19\/143?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1657 and -12.\nAnswer: -19884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3*64)\/(-3))\/((-1532)\/(-5745)*15\/(-2))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*s**2 - 37*s + 269.\nAnswer: 10*s - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(4*(sqrt(128) + sqrt(8))).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 12 = -t - b, 3*t + 380 = -2*t + 12*t - 12*t + 83*b for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13327\/46620 - (90\/21 - 4). Let o = y - -109883\/46620. Calculate the common denominator of (-11)\/15*455\/26 and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + 1.78. Which is greater: 0.2 or q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (0 - 3) - -2. What is the second derivative of -18 - 32*r + 26 - 4*r**5 + 18*r**5 - d wrt r?\nAnswer: 280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*j + 400 = 0, -2*w + 4*j = j - 200. 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: What is -3110110 (base 5) in base 3?\nAnswer: -2120111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 + -84. Suppose -3*a - a = -3*g + 88, -2*g + s*a = -47. What is the remainder when 179 is divided by g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/127 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 198 = 3*g, 5*g + 259 = 5*v - 261. Suppose -v = -3*c - 0*c. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*105\/(-150) + (-6)\/(-4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.5. Let d = -115 + 2297\/20. Let f = 11\/20 + d. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6)*-5*(-12)\/(-40). Suppose g*h - 7 = 3. Solve 4*r - h*o + 16 = -2*o, -5*o = r + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - 74. Let q(h) be the first derivative of -h**4\/4 - 5*h**3\/3 - h**2 - 5*h - 170. What is q(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/13 (b) -3\/26 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 70*k + 185. What is the tens digit of j(44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 10*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - 102) + (11 - 10). Is i at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3516, -3514, -3502, -3474, -3424, -3346, -3234, -3082?\nAnswer: -2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -2 (b) 722 (c) 3\/2 (d) -24 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 1185?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 5*z**2 + 3. Let p(v) = 11*v. Calculate 6*f(h) - 5*p(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089.714 minutes in microseconds?\nAnswer: 125382840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 735913, 735976, 736039, 736102?\n\"Answer: 63*k + 735850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2. Let l(w) = 19*w**2 - 1. What is l(j(v))?\nAnswer: 171*v**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5011*i - 14 + 1 - 16 - 5012*i.\nAnswer: -i - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbccccbbbcccbbcccc. What is prob of picking 1 b and 1 c?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79076 and 25016?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 7*g**2 - 10*g + 2. Let k be h(5). Let v(l) be the first derivative of -102*l + 6*l**k + 200*l - 94*l - 30. Differentiate v(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 7*w - 38. Let p be j(15). Suppose 8*i - 98 + p = 0. Solve 4 = -3*f - 4*o, -4*f - 5 - 7 = i*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11900542?\nAnswer: 2, 97, 61343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 180 + 2*w - 4)*(-5*w**2 + 2*w**2 - 2*w**2).\nAnswer: -10*w**3 + 1040*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80360536661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63332 divided by 4.\nAnswer: 15833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 31*x**2 - 68*x + 82. Let j be o(33). Suppose -13 = -2*c - 3*n, 5*c - n + 3*n = j. Solve 0 = -4*w + 2*r - 2, 4*w + c*r - 8 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63245 (base 11) in base 16?\nAnswer: 167e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.76 - 42.24. Let c = b - -88. Let y = c + -45.000031. Round y to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 4, -55\/36, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + u + 547, 3*b = -0*b - u + 1621. Suppose -6*o + 10*o = -h + b, 0 = -2*o - 2*h + 268. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4539406.1 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -3, -1\/2, -2 in ascending order.\nAnswer: -3, -2, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.88 * 229.2\nAnswer: 660.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let a(n) = n**3 - 8*n**2 + 162*n - 1536. Let t be a(9). Solve 3*u + 2*x = 12, -t*u + 12 = -4*x - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cpccpcpcpypppcyppp. Give prob of picking 2 c.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(19)*1 + sqrt(608)\/sqrt(2).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 36*r**2 + 569*r - 167. What is the ten thousands digit of k(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 1. Let u(y) = 4*y - 2. Let j(z) = -u(z) - 3*w(z). Let q be j(4). Solve q = 5*m - 3*g, -m - m - 3*g = -13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10182*v**2 - 16015*v**2 + 23271*v**2 in the form i*v**2 + z*v + s and give i.\nAnswer: 17438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-140))\/((-18)\/(-210)*4)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -2 (b) -10 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207\/2 + 101. Suppose s = -q - 3, -s - 21 = s + 5*q. What is the third biggest value in 3, s, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 10 = y. Suppose -6*t + y = -4*t. Let d = t + 2. Solve -3*o - 1 = 4*g, 0 = 4*o - 1 - d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 103*v + 5404. What are the prime factors of y(6)?\nAnswer: 2, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290 + 289.9. Suppose 7*m - 3*n = 3*m - 11, 10 = 2*n. Which is the nearest to k? (a) m (b) 3\/2 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*n - 905 + 882 = 0, 0 = 5*n - 5. Let v(x) be the first derivative of 1\/3*x - 1\/12*x**2 - 1\/18*x**3 - c. Find r, given that v(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0 + 0*o + 0*o**3 - 74*o**2 - 1\/24*o**4. Let a(b) = b**2 + 51. Determine j(a(s)).\nAnswer: -s**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28684849?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115368 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, 15, 36, 65?\n\"Answer: 4*x**2 + x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 5\/8 (c) -2\/13 (d) 20307 (e) 1 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188937?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from {u: 2, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(2\/((-4)\/1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1428 by -6.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 8 = -3*j, -5*a = -4*j - 20. Let h = -496 + 536. Solve j = p + 7*p - h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.795 - -4.825. Let z = -0.03 + l. Let u = -6 + 2. Which is the biggest value? (a) -0.5 (b) u (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, -0.3, 20\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.36 + 4.64. What is the fourth smallest value in -0.5, -1, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13 - (-7 - -24)) + 3772?\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from gvuvcuouvucg?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*h + 18*h + 14*h + 70*h - 2 in the form w*h + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254396403 is divided by 3976.\nAnswer: 3971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 6:16 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - 4*b)*(-3 - 1 - 3)*(b**2 + b**2 - 3*b**2).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29775491.\nAnswer: 37, 804743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 22\/1665179?\nAnswer: 22\/1665179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -10*y - 11*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + 36. Solve 17*l - b = -l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -y + 15549, -43*y = -41*y - 6*u - 31014. What is the greatest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 534994.716?\nAnswer: -534991.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14939877419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/7)\/(c**(-4)\/c))\/(c\/(c*c*c**(1\/3)\/c*c)*c\/(c**(2\/5)*c))*(c*c**(2\/5)\/c)**29\/(c**(-1))**(1\/8) assuming c is positive.\nAnswer: c**(3197\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -7*o - 984. Let k = o - 118. Suppose -3*i - 5*m + 129 = 0, -129 = -3*i - 3*m + k*m. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2192 and 29\/4059584?\nAnswer: 4059584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/4 + 78\/(-12). Let i be ((-15)\/s - -3) + -4. Suppose -i*v - 60 = -3*v. Round v to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u + 6. Let c(j) = 7*j - 5. Let p = 4 + 2. Let g(m) = p*c(m) + 5*v(m). Let h(s) = 7*s. Give h(g(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 23 + 33 = 0. Suppose 2*m = 2*i - 9 + 57, 2*m = -y*i + 76. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16165*t - 6*t**2 - 16165*t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 19422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**3 + 2*m**2 - 1. Let y be d(-2). Let b = 213 - y. What is the units digit of b\/3*3\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2 + -2 - (sqrt(75) + 0 + -2))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 5*b**2 + 4*b - 7. Let l be d(5). Suppose 12*v = l*v - 26. What is the least common multiple of v and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -20*p - 1. Calculate the remainder when y(-6) is divided by -4*((5 - 7) + -4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38824\/5 - 7766. Sort -2\/7, 0.5, o, -1\/3, -0.6 in increasing order.\nAnswer: o, -0.6, -1\/3, -2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 889, 1779, 2611, 3385, 4101, 4759?\n\"Answer: -29*v**2 + 977*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 29, 51, 91, 155, 249?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, -5, -5\/10886 in ascending order.\nAnswer: -5, -0.3, -5\/10886, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -932 + 928.03. Let d = -0.03 + n. What is the third biggest value in -3, d, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-113)\/(-226)*(33 - -2) - (1 - 1 - -11)\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -37 - -24) + -25 - (0 + -10)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -2224626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(51)*-3*1 + sqrt(51))\/(-1*(sqrt(48) - sqrt(3)) + sqrt(3) + sqrt(3)).\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17054956 times -0.8?\nAnswer: 13643964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67111 rounded to the nearest one thousand?\nAnswer: -67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 4*g - 3. Suppose -3*f - 5*j + 3*j + 2 = 0, 4*f + 4 = -4*j. Let o be q(f). Sort 1, o, 0 in descending order.\nAnswer: 1, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.817 rounded to 2 decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**18)**(-46) assuming h is positive.\nAnswer: h**736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, s: 2}. What is prob of picking 2 j?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 11*r**2 + r + 4. What is b(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1164 + 1150 = 4*g, 29 = -4*g + 3*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 3. Suppose -w - 46 = -4*g, -w - 24 - 10 = -3*g. Suppose -2*z - g = z, 3*z = 4*j - 36. Let v be t(j). Solve 0*b + 3*b = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1 + (sqrt(112) - sqrt(112)*-3))**2 + 4 + ((-3*sqrt(847))**2*-4 - sqrt(847) - sqrt(847)).\nAnswer: -28700 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16539 - 6211. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*c*g**3 + 583683*c - 26*g**3 - 22324*g with respect to c.\nAnswer: 8*g**3 + 583683","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**6*u - 4234*k**4*u - 18*k**2 - 2*k*u - 6*k - 2*u - 15 wrt k.\nAnswer: -1080*k**3*u - 101616*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111110000210 (base 3) in base 15?\nAnswer: 53633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 1. Let m(c) = -4*c**2 - 4. Determine m(z) + 4*u(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbxbxbxbbx. Give prob of picking 1 b and 2 x.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 8776*h - 158634. Give x(-18).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5987808 by 153.\nAnswer: 39136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*y**3 - y**2 + 4641 wrt y.\nAnswer: -18*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1824 and 37\/627.\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.44 + 2.37. Let z = -0.11 + q. What is z rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.082 + -78. Let s = -127.918 - x. Let h = 128.53 + s. Round h to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2. Let y(b) = -6*b**2 - 287. Calculate y(q(w)).\nAnswer: -54*w**4 - 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111537.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/200 and -61\/4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 20. Let o be (-10)\/4*m\/20. Let n = 5 + -3. Is o greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 273636453 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 4301916 and 12?\nAnswer: 4301916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1521\/2 - -760. Put 1, -4.9, c in decreasing order.\nAnswer: 1, c, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -183, 4, 219, 2, 0 in descending order.\nAnswer: 219, 4, 2, 0, -5, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -7547.6.\nAnswer: -52833.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 752911181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15910.\nAnswer: 2, 5, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106 + -110. Put p, -1\/2, -1\/38, -1 in ascending order.\nAnswer: p, -1, -1\/2, -1\/38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21211 is divided by 4129.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 659*z**2 - 46*z. Let d(t) = t**3 - 220*t**2 - 16*t. Determine 11*d(l) - 4*k(l).\nAnswer: -l**3 + 216*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2474 is divided by 85.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-20)\/8 + 2)*233*-50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/60 - 8*i**3\/3 + 53*i**2. Determine h(0).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 785?\nAnswer: 7065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.14 + -5.64. Let g = -2.3 + 2. Sort g, c, -1 in increasing order.\nAnswer: -1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/16)\/((-87)\/58)*20\/5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72 - 3)*(-7)\/((-105)\/(-6)). Suppose -z + 2*q = -20, 5*z - j - 40 = 4*q. Suppose y - 2 = 2. Solve 2*k = y*k + z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/2*m**3 - 7\/60*m**5 - 2 + 1\/24*m**4 + 0*m - 22*m**2 - 1\/24*m**6. Factor q(v).\nAnswer: -(v + 1)**2*(5*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvm when four letters picked without replacement from hvmwvmvhhv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 53*c**3 + 10*c**2 - 36*c + 46. Let z be f(4). Is 3454 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Suppose d = -q - 0*q + f, q - 4*f = -19. Suppose -2*b + 3*n = -35, b + q - 35 = -4*n. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -34.5569 and -93.8?\nAnswer: 59.2431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1700057 millennia in decades?\nAnswer: 17.00057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -412 (b) -5 (c) -2 (d) 0 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132235?\nAnswer: 5, 13, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/34 - -467\/102. Let u = x + -5. Let z = 4 - 10. Which is the third smallest value? (a) z (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 47*h**2 + h - 2. Give z(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 120*f**2. Let o(r) be the third derivative of -r**5\/30 + r**2 + 10*r. What is s(o(y))?\nAnswer: 480*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 0 (c) 0.007 (d) 1\/2 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 179939*z + 1 - 1 + 1420061*z. Let y be k(-3). What is y rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*y - 2*c - 1, -5*y + 7 = -c. Solve -3*r = -5*q + 8, 0 = 3*q - 2*r - y - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 56439?\nAnswer: -56432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 8, 5, 3, 15664 in descending order.\nAnswer: 15664, 8, 5, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126150720 is divided by 110853.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5675 and -2299.\nAnswer: 3603.6825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*x = -3*j - 225, j = x + 231. Suppose 0 = -2*u - 5*m + 220 + 210, m + j = u. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951357.\nAnswer: 3, 11, 127, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*u - 2*s + 2, 5 = 2*u + s. Solve -30 = -5*q - f, -2*q + 5*f - 15 = -u*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/9 + (-115)\/(-225)*5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52559*v - 53249*v + 6210 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32742 (base 8) in base 4?\nAnswer: -3113202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21325 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**4\/12 - j**3\/2 - j**2\/2 + 16*j - 16. Let v(f) be the first derivative of t(f). What is v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - k**2 + 6*k**2)*(3*k**3 - 2*k**3 - 5*k + k**3).\nAnswer: 6*k**5 - 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (14 + (-6 - 18) - (-6 + 8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*y**2 - 188*y**2 + 93*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from ope?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**2 + d + 1. Let n(a) = -2*a**2 + 26*a + 74. Let o(i) = -4*l(i) + 2*n(i). Factor o(w).\nAnswer: 4*(w + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r**2 + 12*r**3 - 68*r**2 + 22*r**3.\nAnswer: 34*r**3 - 118*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 668598580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51808*w**2 - 2527 + 11*w**4 + 51824*w**2 - 1683 wrt w.\nAnswer: 44*w**3 + 32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62008 is divided by 12399?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - -4. Suppose 225 = 3*s + 3*o, -200 = -4*s - 2*o + 100. What is the greatest common divisor of j and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 22*r - 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*u - 3, -w + 3 = -u + 4*u. Let b be 1\/((-4)\/(4*3)). Suppose -s - 7*s = -3*s. Sort b, s, w in descending order.\nAnswer: w, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603, 791, 985, 1185, 1391, 1603, 1821?\nAnswer: 2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 193 = -0*s. Suppose 0 = -5*o + 2*n + 9, -7 = 2*o - 5*n - 19. Calculate the remainder when s is divided by o\/(-3*8\/(-936)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/20 - ((10 - 13) + (-5)\/350*-218)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**(-2\/73)\/(v*v**(2\/5)\/v)**(4\/9)*(v**(-1))**(-2\/83)*(v\/(v\/v**0))**(1\/11) assuming v is positive.\nAnswer: v**(-39412\/272655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-6 - -3)) + 801. Suppose 5*x - 2374 = 4*a, 3*x - 3*a = 618 + f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-4))\/(-2 - -4))\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 226055 and 1.98.\nAnswer: 226056.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 15. Suppose -j*o = -2*c + 13, c - 5*o + 0 = -4. Suppose 2*f - 2*r = 8, r + 3*r = 3*f - c. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 15) in base 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z + 2*z)*(10*z + 38*z - 12*z + (3 - 1 - 4)*(-z - z + 4*z)).\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**4 - 3408*n**3 + 15*n**2 - 29.\nAnswer: 48*n - 20448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 280*o**6 - 43*o**4 + 7*o**3 - 496414*o**2 wrt o.\nAnswer: 33600*o**3 - 1032*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -9816.\nAnswer: -9818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 1229436868*w + 188939376549706178.\nAnswer: 2*(w - 307359217)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 22 - 33 + 11 - 2*j - 6*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**6\/40 - f**5\/60 - f**2 + 3. Let m(i) be the second derivative of o(i). Find the third derivative of m(y) wrt y.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*(sqrt(7) - sqrt(14)\/sqrt(2)) - (-5 + (sqrt(7) + sqrt(7) + sqrt(252) - sqrt(7)) - sqrt(7)))**2.\nAnswer: -60*sqrt(7) + 280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*n)*(-1 - n + 1) - 7724126*n + 7724126*n - 8230*n**2 in the form l*n**2 + z*n + u and give l.\nAnswer: -8228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1457075.76 to the nearest one hundred.\nAnswer: 1457100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -943 divided by -288?\nAnswer: 943\/288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + -12 + -28 - 7.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -25*p**4\/24 + 5*p**3\/3 + 1973*p**2. Give j(4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 15*q - q**2 + 4 - 7*q in the form p + r*q**2 + v*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*g**4 - 1643893 + 1643893 + 3*g**3 + g**2 to the form u + w*g**4 + l*g**3 + o*g**2 + z*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1960 + -1958. What is the closest to 3 in b, -0.07, 1\/5, 2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 + 117\/4. What is the biggest value in 2\/3, u, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + j + 2*j**2. Let n be (-14)\/(-3) + (-2)\/(-6). Let i(f) = -1497 + 1497 + n*f. Calculate g(i(w)).\nAnswer: 50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -766?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Suppose 12*x - 10 = 2. Let j(m) = -1. Let i(o) = -87*o + 5. Let f(q) = x*i(q) + 5*j(q). Give f(g(v)).\nAnswer: 174*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 540108 - -149653. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*l - 5 = 102*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 1 (b) -1\/7 (c) -2\/3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 697.5085ug?\nAnswer: 0.0006975085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.9 - -12.14. Let a = -27009 - -27018.9. Let r = j - a. Round r to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 1:16 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 4 + -5 + sqrt(832) + sqrt(832)*-1 + -4).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) -0.1 (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 18 = 2*d, f = 3*d + 2*d + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e171 (base 16) to base 2.\nAnswer: -1110000101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 94443 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252954 by -4927.\nAnswer: 19458\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48164 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g + 183 = -1617. What is the remainder when g is divided by 39?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1491652 (base 13) to base 11.\nAnswer: -3789966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*p + 10, 3 + 5 = 4*p + 4*k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -69. Let m = 32 - 21. What is the remainder when l is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 6. Let x = 3 + h. Suppose 4*b + b = 20. Sort b, 3, x in descending order.\nAnswer: b, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 14*b**2 + 5*b - 3. Let f(j) = -15*j**2 - 6*j + 4. Determine -5*f(x) - 6*y(x).\nAnswer: -9*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15\/(-18) + 31742\/708 and 1276?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-443)\/(-4) - 1\/(-4). Suppose 0 = -3*h - 3, 7*h = f + 4*h - t. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3\/6 + a**2 - a - 5. Let m(h) be the first derivative of l(h). Let k(y) = -3. Calculate -2*k(j) - 3*m(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**3 + 2*d**2 + 9*d. Let i(g) = -66*g**3 + 19*g**2 + 77*g. What is -2*i(y) + 19*p(y)?\nAnswer: -y**3 + 17*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 12. What is the remainder when o is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23438472 > -23438422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 54684076.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (144\/(-27))\/((-1)\/222828). Let q = h + -1111169119\/935. Let a = q - 1\/85. Sort -1, a, -2.\nAnswer: -2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2.5. Let m = 1 - -4. Let r = -18005 - -18008. What is the biggest value in m, 0.07, r, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**2 - 49*g - 15. What is h(6)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (-52 - -86) + -41\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46, -66, -100, -148, -210, -286?\n\"Answer: -7*t**2 + t - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 7*q + 5. Is 9 a factor of j(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11523.6 - 11524. Which is the fourth smallest value? (a) -4 (b) g (c) 5 (d) 0 (e) 9\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 78*a**2 - 38*a + 192. Let t be i(6). Calculate the highest common divisor of 630 and t.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 3*r + 4. Let t be n(2). Let i be (-13)\/(-3) + 2\/(-6). Solve p - i*d = t*p + 1, p - 4*d = -9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -5*c**4\/24 - c**3\/6 + 9*c**2. Let l be p(0). Let q(t) be the first derivative of t**4\/4 - t + 1. What is q(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-492)\/(-36) - 12)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 96\/539 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-77)*(-21)\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3 + 483024*n**2 - 2898036*n + 4347000 = 0.\nAnswer: 3, 120750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 228, 0 in ascending order.\nAnswer: -2, 0, 2, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 270\/(-4)*8\/(-12). Suppose 0 = -10*x - 5 + w. What is the tens digit of x\/20 - 168\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.042 or -139?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1582, 1623, 1690, 1783, 1902, 2047?\nAnswer: 2218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/(-216))\/(2\/(-8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**4\/16 + 113*i**3\/4 + 675*i**2\/8 - 3459*i. Find z such that d(z) = 0.\nAnswer: -225, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86139841?\nAnswer: 86139841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 90036 < 90035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*n*t**2*x**2 - 448*n*t*x**3 - 6*n*x - 31*t**2*x**3 + 27*x**2 wrt x.\nAnswer: -2688*n*t - 186*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 311*z**3 + 400. Let y(s) be the first derivative of 26*s**4 + 133*s + 76. Let k(m) = 6*o(m) - 17*y(m). What is the first derivative of k(t) wrt t?\nAnswer: 294*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2400709?\nAnswer: 2400709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/7 + 2\/7. Let n be 2*a*(-4)\/(-12). Factor 0 + k**3 + n - 3*k**2 + 0*k**3.\nAnswer: (k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x. Let i(s) = 13307306*s. Calculate i(z(h)).\nAnswer: -13307306*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (126 + -87 - (2 + 5 - (1 + -1))).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-41 + -3)\/((1 + -4)\/6) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2780*h + 69 = -2771*h - 147 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2158\/3*a**2 - 968\/3 - 16*a**4 - 665\/3*a**3 - 836*a - 1\/3*a**5 = 0?\nAnswer: -22, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -116?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/45 and 19\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 380, 395, 426, 479, 560?\nAnswer: 675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 354, 2871, 9674, 22905, 44706, 77219, 122586, 182949?\n\"Answer: 357*c**3 + c**2 + 15*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgj when three letters picked without replacement from jjg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1389*o**2 - 844*o**2 + 8.\nAnswer: -2233*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/(-6))\/(59\/3186)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3)\/(l\/l**(-2\/9)))\/((l\/(l*l**9*l))\/(l*(l\/(l*l**(-2\/39)\/l*l))\/l)) assuming l is positive.\nAnswer: l**(955\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3320 and 16865600?\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/2*(1782\/(-231))\/18?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -63*s + 4. Let t be n(0). Solve -5*h = -3*d - 19, -d + t*h = -6*d - 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2340*s - 1 + 2427*s - 4 - 5 + 10.\nAnswer: 87*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 19442702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 18*q**2 - 20*q + 12. Let y be (-6)\/(4\/20 - 98\/640). Let v = -69 - y. Calculate the remainder when v is divided by c(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 569705293*g - 210247461?\nAnswer: 569705293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((1 - -1)*-1). Let z = 0.2 - 0.4. What is the closest to n in -2\/7, z, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3 = 3*l. Let f(q) = 26*q - 9. Let d(i) = 9*i - 3. Let a(z) = l*f(z) + 8*d(z). What is the first derivative of a(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2) - (sqrt(2) + -3 + sqrt(2))) - sqrt(288))*2.\nAnswer: -26*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:45 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*j + 1. Let y(l) = -15*l + 1. Let k be y(-3). Suppose j*r - 32 - k = -3*f, 5*f - 4*r = 94. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 645.0662 millennia to decades.\nAnswer: 64506.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1607.\nAnswer: 2\/1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 9:58 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:06 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**5\/20 - 5*c**4\/12 + 12*c. Find the third derivative of h(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(28\/12 - 2). Let n be ((-2)\/x)\/((-12)\/(-15282)). Round n to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14662725 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497194335?\nAnswer: 3, 5, 11, 23, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**3 - 7*j**2 + 7*j - 1. Let n be m(-8). Suppose 4*y - n = -5*d, 0*d + y + 308 = 3*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -20 + -4 + 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 4. Let m be 2\/(-7) + 1498\/98. What is the remainder when g is divided by ((-114)\/(-95))\/(1\/m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose -2*s + 0*q + 4*q = 8, 2*q = -s + 12. Let c(b) = 4*b - s*b - v*b. Let t(u) = -u**2. Determine c(t(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6368 by -1592.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 - 3*w + 3*w)*(-72 + 34 - 65) + 12 - w**3 + 49*w**2 - 49*w**2.\nAnswer: 411*w**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r\/r**(-18))*(r**(1\/15)*r)\/r*r*(r**(2\/9)\/r)**(42\/13))**16 assuming r is positive.\nAnswer: r**(-23344\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v**2 - 3*v**2)*(3 - 4 - 5 + 1 - 1 - 2 + (-1 + 2 + 0)*(1 - 2 - 1) - 4 + 1 + 5 - 3 + 0 + 5 - 3 + 1 + 1 - 2 - 2 + 3).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*x = 0. Suppose x = -5*q - 2*p - 28, 6*p - p + 8 = 3*q. Let i be (-14)\/(-5)*(1 - q). Solve -3*t + i = 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (32 + -18) - (-9 - -4) - 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/7 - 2258*p**3\/7 - 367084*p**2\/7 + 5531696*p\/7 - 9576960\/7 = 0. Calculate p.\nAnswer: -928, -215, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a**3 + 13946*a**2 + 27885*a - 41832 = 0. Calculate a.\nAnswer: -13944, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5 = 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + w - 3*w in the form d + y*w and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8604231806 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 8.5997414.\nAnswer: -17.1994828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15540, -13768, -11996, -10224?\nAnswer: -8452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let p be m(-2). Let u be (-16)\/p - (0 + 3). Does 5 divide (-18)\/(-4) - u\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 15*n**2 - 13*n - 10. Determine t(-4).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 + 10*d**2. Let r(v) be the third derivative of 1\/30*v**5 + 0*v**4 + 0*v**3 + 0 + 0*v + 5*v**2. Give i(r(s)).\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 129 = p, -4*u + 4*p + 132 + 12 = 0. Calculate the remainder when 138 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 424, 426, 414, 388, 348, 294, 226?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1626 - 11?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1644 divided by 411.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008553825 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaa when three letters picked without replacement from afjaafaafffj.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + 1. Let z be q(1). Suppose -v + 3*v = 8. Suppose 0 = -2*f - 0*f + v. Put z, -3, f in descending order.\nAnswer: z, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13056*l - 65156. Give n(5).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 386081*g**2 - 70*g - 16. Let z be j(4). What is z rounded to the nearest 10000?\nAnswer: 6180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 2)\/4*-8. Let y be 2\/(-8) + 26\/8. Let x = 14 + -13. Which is the third smallest value? (a) r (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(2448))**2.\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 98?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/(-35) - 4\/14. What is the third derivative of -12*w**4 + 21*w**2 - 1 + k - 9*w**2 wrt w?\nAnswer: -288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002416843 rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 26. Suppose 0 = 5*f - 3*k + 9, -1 = 2*f - 4*k + s. Solve y = -f*y + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 498493838316 + -3.7.\nAnswer: 498493838312.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*d - d + 935, 953 = -s - 3*d. Let j = 1941\/2 + s. What is the common denominator of -41\/10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57649\/6 + -9623. Calculate the common denominator of h and 69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 9 + 0)*(2*c**3 - c**4 - 2*c**3).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 416952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkv when three letters picked without replacement from kpkvpvkvkppppkpp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.8324 rounded to 1 decimal place?\nAnswer: -35.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3543215 (base 7) to base 10\nAnswer: -447725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 4. Suppose -5*u + 5*v - 20 = -3*u, 2*u + 12 = v. Let g be s(u). Let a be 1\/(g\/24) + -3. Calculate the highest common factor of a and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9 and 715430286.8503.\nAnswer: 715430287.7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:47 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vggzzgvvzbv. Give prob of picking 3 g and 1 v.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3\/4, -0.5, 1\/2, -4\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 562146831 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**3 + 3*l**3 - 9*l**3 + 2*l**3.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12114 is divided by 347?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45, -152, -463, -888, -1427, -2080, -2847?\n\"Answer: -57*t**2 - 26*t + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 59. Let f = 15 - 18. Let x be 0\/(f + 1 + 3). Is i(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3484 and 1040.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 3, o: 1, k: 1}. Give prob of sequence ko.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2808405263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8879 and 0.4.\nAnswer: 3551.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-81624.31\nAnswer: -2448.7293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 + 343*o - 343*o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 9:48 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182490.\nAnswer: 2, 3, 5, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -39, -4 in decreasing order.\nAnswer: 0, -2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-442)\/(-51))\/(-2*2\/(-738))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 + (-2 - 28 - -9 - -38)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3168 and 2772.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -29, 3, 2 in descending order.\nAnswer: 3, 2, 0, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 6:38 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 - 22*x**3 + 5*x**3 + 34*x**3 - 12*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c. Let r(z) = -72504*z**2. Determine o(r(w)).\nAnswer: -362520*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -14 - 9) + (-3 - -3) + 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42006 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.055, 2, 299?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 39. Suppose -z + 52 = -n. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.03, 1, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 5*c**2 - 3*c + 0*c**2)*(-1 + 1 + c)*(3*c + 0*c + 0*c).\nAnswer: 3*c**4 - 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q + 15. Let b(z) = z**3 + 4*z**2 - 8*z - 4. Let u be b(q). Calculate the greatest common divisor of u and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 7 = -2*p. What is the third derivative of -4*k**3 + 10*k**2 + 8*k**3 - 3*k**p wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4082, 5580, 7078, 8576, 10074, 11572?\n\"Answer: 1498*z + 2584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/3))**13)**(1\/8) assuming m is positive.\nAnswer: m**(65\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-21) - 600\/(-1008). What is the closest to -1 in -2\/19, 4, z?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 15. Let q = h - 33. Let k = -16.2 - q. What is k rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5997, -5965, -5935, -5907, -5881?\n\"Answer: -t**2 + 35*t - 6031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 2, b: 1, x: 2, t: 1}. Give prob of picking 1 j, 1 b, and 2 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 727 - 643 = 21*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*y + 42, -y = 3*r - 2*y - 34. Let v be 7\/(7\/25)*(-2370)\/(-50). Calculate the common denominator of v\/(-42) + r\/(-42) and 70\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*i - 660 = -3430 + 288 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -71859862.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - 3*n + 7*n + (-6*n + 3 - 3)*(2 - 1 - 2))*(-2*n**3 - 4*n + 4*n) as p*n**4 + z*n + w + g*n**3 + t*n**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327598137?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 2:03 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8793 and 5.\nAnswer: 14.3965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 80 = -2*d - 3*v, 0 = -2*v - 10. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.048 and 4101.\nAnswer: 196.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 140205051 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22554885 is divided by 1174?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2.5.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.3. Let x = 2.5 - -0.5. Let r = -7 + x. Which is the smallest value? (a) r (b) 0 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v - 2 - 9*v + 1 + 0.\nAnswer: 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/42)\/((-92)\/(-84) - 5\/(-15)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**4*r + 89*b**4 + 1006*b**2*r wrt b.\nAnswer: -96*b*r + 2136*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -p - 4*m - 10, -5*m = 20. What is the second derivative of j**2 - p*j**2 - j + 4*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141\/2417 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2790758 or 2790760?\nAnswer: 2790758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 12*r + 17*r - 3*r - 3*r)*(14*r**2 - 26*r**2 + 26*r**2).\nAnswer: -14*r**3 + 196*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 360\/(-168))*7\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, n: 1, j: 1, g: 3, i: 3, a: 2}. Give prob of picking 1 i and 1 r.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, t: 3, k: 2, j: 6, m: 1}. What is prob of picking 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3644190 greater than or equal to 3644191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16014132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 324.8 + -378. Let i = y - -48. Let j = 0.2 + i. Which is the smallest value? (a) -10\/9 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**3 - 11*v**3 - 4*v**3 - 10*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 6:31 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36041 is divided by 8995?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469 divided by 2?\nAnswer: 1469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 2)*(-2 + 3 + 0)*(22495 + 367*i + 22502 - 45007) to n + s*i and give s.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 80*o - 660. Determine p(-47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -7 - 3 - (4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2760.0229 rounded to the nearest integer?\nAnswer: -2760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8095a6 (base 12) to base 2\nAnswer: -111101010000000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 17, -4 in descending order.\nAnswer: 17, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -423*o**4 + o - 36 wrt o?\nAnswer: -5076*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14501619 divided by -27.\nAnswer: -537097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18002, 144044, 486158, 1152380, 2250746, 3889292?\nAnswer: 6176054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413002680 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*r**2 + 8*r + 29*r - 17*r**2 - 16*r**2 + 3 - 5*r**2 wrt r?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {h: 5, i: 1, c: 4, x: 1, a: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028*x - 1037*x + 216 = 0. Calculate the remainder when 127 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14870 - 10184. Is o a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28086, 112435, 253026, 449859, 702934?\n\"Answer: 28121*d**2 - 14*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 18*b - 58*b + 5 + 24*b + 17*b. Let s be d(-3). Solve -3*i = -v + 2, v + 16 = -2*v - s*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -3 + -14 + -8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-2 + 36\/(-16)). Let n(m) = -m**3 - 17*m**2 - 7*m - 4. Is n(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 - 13*c + 27 - c**2 + c**2.\nAnswer: 2*c**3 - 13*c + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15134786 to the nearest integer?\nAnswer: 3890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of z**2 - 84*z - 540?\nAnswer: 2*z - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(2)*1)*-6*-3 - (1 + -3*(-1 + sqrt(242))))**2.\nAnswer: 6936*sqrt(2) + 9826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -1266713.\nAnswer: -1266710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**2\/2 + 5*r - 2. Let u be k(4). Solve 2*y + 2*t + u + 3 = 0, 4*y + 8 = 5*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -388 divided by -2\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 - 4*k - 15. Let v be l(7). Suppose 910 = -4*x - v. Put -4, 5, x in ascending order.\nAnswer: x, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(3 + -23)*(9 + 1). Let o = 3 - 2. Suppose 3*b + x = -2*x - 9, -55 = 5*b - 3*x. Sort b, o, t.\nAnswer: b, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/240)\/(7968\/1024).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 19. Let g(a) = 3*a**2 + p*a**2 - 9*a**2. Let y(l) = -l - l + l + 0. What is g(y(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 941 times 6.93?\nAnswer: 6521.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 4*j - 3*j + 2*j - 4*j - 1 + j**3. What is v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 0.3 (b) -163 (c) 3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.13 - 3.07. Let k = p - 74.2. Round k to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 23\/(-5) - -4 - (-22696)\/(-40). Let h = -505 - z. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 plus -3534.0286?\nAnswer: -3505.0286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -2\/3*r - 1\/9*r**3 + 9 + 1\/2*r**2. Suppose f(c) = 0. What is c?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24404 (base 5) in base 7?\nAnswer: -5256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttv when three letters picked without replacement from haqvaaahahaateta.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (20 + -14 - -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32986141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c - 5*u = -21, u - 8 = 3*c. Let q = -13 - -8. Let s = q + 4. What is the closest to c in -3\/5, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56585 = 61*x - 214758. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 8 - (-3 - 0). Suppose y - 17 = -3*z. What is the second derivative of -3*p**z - 98 + 98 - 7*p wrt p?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -6*j. What is the biggest value in 61, j, -1?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*o - 90*o + 27*o - 245 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 15. Let h = 57 + k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**3\/3 - 5*p**2 - 4*p + 9. Let q(a) be the first derivative of n(a). Differentiate q(x) with respect to x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1234758?\nAnswer: 2, 3, 7, 29399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 41 + -38 - 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397337858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -139*j + 31. Is u(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*k - 555*k - 2 + 2 + 282*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5282*d - 57140*d - 222011*d + 2844*d.\nAnswer: -281589*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1057*d - 5800 - 4595 = -112*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 16 = c + 5*v - v, 12*c - 5*v + 169 = -238 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 7. Solve b - 15 = t*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6756*b**3*i**2*y**3 - 267*b**3*i**2*y - 14*b**2*i*y - 3*b*i**2 + 1301*i*y**3 wrt b?\nAnswer: -40536*i**2*y**3 - 1602*i**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/67145 and 87\/20660.\nAnswer: 268580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*k + 3*k = 21054, -5*x + 35090 = -5*k. List the prime factors of x.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n. Let l(j) = -39*j**2. Calculate l(g(m)).\nAnswer: -6591*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1476746028 + -1476746026.8870003045. Let s = -1.113 + r. What is s rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*p - 13 = 0, 4*k - p = k + 13. Sort 1, -1\/5, k in descending order.\nAnswer: k, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/137?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3 + 24\/9). Suppose 17 = -0*i + 5*i - u, 5*i - 21 = g*u. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 2*t - t**3 - t**3 to i + z*t**2 + o*t**3 + g*t and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v. Suppose 0 = 65*a - 64*a. Let p(l) be the third derivative of 0*l**3 - 1\/60*l**5 + 0*l**4 - l**2 + a + 0*l. Determine o(p(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 133, 831, 2653, 6133, 11805, 20203, 31861?\n\"Answer: 89*y**3 + 28*y**2 - 9*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/7 + 1493*a**3\/7 + 252396*a**2\/7 + 1947760*a\/7 + 3848000\/7 = 0. What is a?\nAnswer: -1300, -185, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 + (-116)\/8. What are the prime factors of 4*(3 - o\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -192 (b) -0.4 (c) 11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gx when two letters picked without replacement from {g: 6, f: 3, x: 4}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2 (b) 0.4 (c) 5590\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9292924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**5 - 310*l**4 + 5155*l**3 - 13100*l**2 - 42880*l - 24320 = 0.\nAnswer: -76, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 9:25 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3185281 (base 9) in base 2?\nAnswer: 110100001011010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 840283.4 centuries?\nAnswer: 84028.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i + 2*i + 20 - 4*i + i + 0*i. Calculate c(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 6*w**2 - 7. Let m = 2 + -7. Suppose 22*v + 105*v - 1312 = -169. What is the least common multiple of v and o(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/9)\/((-18)\/(-162)). Suppose n = f*s + 116, -n - 3*s + 645 = 4*n. Suppose -n = -12*b + 6*b. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b - 33*b + 209 = 16*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*x - 66 = 0. Suppose -x*i + 55 = -22. What is the remainder when 19 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:09 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 3 (c) 13 (d) -8\/103 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -523, -857, -1189, -1519, -1847, -2173, -2497?\n\"Answer: s**2 - 337*s - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*7\/(-14) - -290. What is the greatest common factor of 203 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 18. Let o = -234 + 1875\/8. Let v = 2 + -5. What is the nearest to o in v, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136798 is divided by 228.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)\/q*q)**(-15)\/(q*q*q**(-5\/3))**(-7) assuming q is positive.\nAnswer: q**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 30300 to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzppzppzzppzz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 5*t + (3 - 2 + 1)*(t + 2*t - 2*t))*(50 - 48 - 47).\nAnswer: -270*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000048 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 25275*s**2 - 675*s. Let b(a) = -75*a**2 + 2*a. Calculate -675*b(h) - 2*m(h).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and 32.22.\nAnswer: -35.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 484, 2043, 3606, 5173, 6744, 8319, 9898?\n\"Answer: 2*m**2 + 1553*m - 1071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) -6 (c) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 958 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9241 - -508297\/55. Let s = -352243\/30 + 11740. Calculate the common denominator of p and s.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -1\/30*l**6 + 0 + 1\/3*l**4 + 0*l**5 + 0*l**3 + 0*l**2 + 4*l. What is the third derivative of t(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**3 - 4*q**2 + 4*q - 6. Let c(a) = -14*a**3 + 12*a**2 - 11*a + 19. Let p(d) = 6*c(d) + 17*o(d). Is 6 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 185, 369, 553, 737, 921, 1105?\n\"Answer: 184*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2 - 49*b. Let v(d) = 1545*d. Calculate n(v(r)).\nAnswer: -7161075*r**2 - 75705*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*l + 8174 + 5501. Let f = -527 - l. Solve -f = -4*h + 4*t, 3*t = -h - 0*t - 7 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/2*(-6)\/(-5). Let o = f - -8. Is (o - 141)\/(-11 + 9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48\/5 of a hour?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 7. Let j(c) = -c**3 - 5*c**2 + 2*c - 8. Let x be j(w). Suppose 4*q - x = 4*v, -5*v = q - 0*v - 4. Solve -2*s - q*k = 3*s - 15, 15 = 5*s - 4*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5386 + -5329. Calculate the remainder when 733 is divided by q.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = f + 35, -v + 3*f + 11 = 2. What is the least common multiple of v and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - -1. Let t = 47 + r. Let i = t - 41. What is the remainder when 76 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(((-1)\/(8\/(-8)))\/(-1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 11*o + 1. Let q be v(-11). Suppose l - 1 = q. Suppose -4*f + 26 = -l. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (4 + -2 + -3)) + -145 + -64 + 143?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4395296, 17581219, 39557758, 70324913?\nAnswer: 109882684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -0.1 (d) -2 (e) -37052\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 7 (b) 5 (c) 8 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171))\/sqrt(9))**2*5*-2.\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 372852 in 17\/5, -1\/2, 0.15?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(112)) - sqrt(112))**2 + 3.\nAnswer: 720*sqrt(7) + 3127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -204614, -204609, -204600, -204587, -204570, -204549?\n\"Answer: 2*d**2 - d - 204615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvgc when four letters picked without replacement from yvcyycpyygyyyyccpccy?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 42*i + 302. Let z be t(9). Solve -17 = -2*o + z*o + 4*r, -5*o - 5 = -5*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113115319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 11*g**2 - 9*g - 16. Let d be o(-11). Suppose c - d = 4*j + 28, -430 = -5*c - 5*j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29661.7, 23 in ascending order.\nAnswer: 1, 23, 29661.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 3*h**4\/8 - 12*h**3 + 10*h**2. Let s be u(8). Solve 5*r - 2*r = s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v*v**(1\/2)*v**(10\/9)\/v*v**(2\/19) assuming v is positive.\nAnswer: v**(1271\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 6*q**2 + 2*q - 1. What is b(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 18 + 6)*(-p - p + 3*p).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhzjznyzjjhzpnhhyjn. What is prob of picking 1 p, 2 j, and 1 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 368*h - 361. Give a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*d**3 + 2*d**3 - 6*d**3.\nAnswer: 107*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.3, -10, 0.17, 3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112\/5 - 22. Let y = 1\/66 - -14\/165. Which is the nearest to r? (a) 3\/8 (b) y (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -33*b + 12. What are the prime factors of r(-3)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 196, 2, -41.5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**4\/6 - 3*d - 3. Let y(n) be the first derivative of t(n). Let v(o) = -3*o. Calculate v(y(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.4 - 13.1. Let w be 1*(0 + 0) - 1. What is the second smallest value in h, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 18*q**2 - q + 1. Let y be o(1). List the prime factors of 4\/(-18) - (-166)\/y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 544581094 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17430.\nAnswer: 2, 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k = 105. Let i(x) = -x**3 + 5*x**2. Calculate the smallest common multiple of k\/6 + 1\/2 and i(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1475 + -1465. Let j(a) = -a**2 + 9*a + 9. Determine j(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 2*b**2 - 2*b**2 + (6*b - b - 3*b)*(-2*b**3 - 4*b**3 + 5*b**3) + 5*b**4 - 3*b + 3*b in the form d*b**3 + y*b + r*b**4 + k*b**2 + i and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-17) + (1705\/187 - 11). Which is the nearest to w? (a) 3\/13 (b) 0.4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3 + 473673*r**2 - 65409723*r + 2257128207 = 0.\nAnswer: -158029, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:32 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 6. Let q(f) = f - 3. Let v(w) = -c(w) - 2*q(w). What is v(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovaj when four letters picked without replacement from {o: 3, h: 3, j: 2, k: 3, v: 4, a: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -70b (base 14) in base 16?\nAnswer: -567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 plus -8590848?\nAnswer: -8590864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/4 + 221*d**3\/2 + 27*d**2\/4 - 2970*d - 5967 = 0.\nAnswer: -3, 6, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/(-143)*(-130)\/(-10). Solve -z*v + 2*m - 2 = -4, 2 = m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -137, -2 in descending order.\nAnswer: 3, -2, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-63)\/3)\/(-3))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/2 - 17*f**4\/24 + 8*f**2. What is the second derivative of b(u) wrt u?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 2\/3*o**3 - 1\/3*o**4 + 0 - o**2 - o + 1\/10*o**5. Calculate w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**2 - 5*n. Let c(u) be the first derivative of u**3 - 2*u**2 + 2. Let a be -14 + 4 - (-3)\/3*1. Let g = a - -14. Give g*c(z) - 4*v(z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16208 and -27921.\nAnswer: 452543568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 15*w - 95 = 2*z, -38 = -2*w - 5*z. Calculate the remainder when w is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 13*p + 2, -p + 11 = -2*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:45 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 - -2 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 divided by 711931.\nAnswer: 212\/711931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/6*16\/(4096\/16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30875\/390 + (-1)\/6 is divided by 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/((2 - -1) + -5). Sort b, 2, 1, 3 in decreasing order.\nAnswer: 3, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2. Let v(o) = 4*o**2. Let q(t) = 5*m(t) - 4*v(t). Let p(k) = -31*k. Let d(h) = -10*h. Let w(x) = 8*d(x) - 3*p(x). Calculate q(w(c)).\nAnswer: -169*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3581 + 5217. Is 36 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 6*x - 56. Let b(p) = 81*p - 34. Is b(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*q + 3*m - 9 = 0, 0 = -4*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = 2*n. Let v(s) be the first derivative of n - 1\/2*s**4 - 7\/2*s**2 + 2*s + 7\/3*s**3. Suppose v(b) = 0. What is b?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(260)\/(sqrt(5)*-4) + 3*sqrt(52)*1 + sqrt(52))\/((-2*sqrt(300))\/((sqrt(24)\/sqrt(2))\/sqrt(4))))**2.\nAnswer: 117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2. Let g(a) = -2*a**2 - 246. Determine g(x(d)).\nAnswer: -8*d**4 - 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 251*n - 329. Solve 5*k + n*h = -10, 3*k - 18 = 7*h - 4*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, s: 2, j: 2, v: 6}. What is prob of picking 1 j, 1 v, and 2 s?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79297506, -158595008, -237892510, -317190012?\nAnswer: -396487514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001148977 rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16070 + 2900 = 3*c. Let h = c - -11567. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 4. Let j be b(7). Let c = j - -17. Solve 0 = 3*t + 2*m - 7*m - 1, -4*t - 4*m - 20 = c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/8 + 3\/12. Suppose -2*v = -3*k + 16 + 20, -d*v - 56 = k. What is the units digit of 38\/6 - 8\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/60 - (-24)\/(-10)*54\/648?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - 51. Let w = q - 254. What is the units digit of ((-4)\/(-6))\/((-22)\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 - 4*o**3 + 0*o**3 + 7*o**2 - 13*o**2 to the form d*o**3 + b + s*o + y*o**2 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 13*x + 12. Let a be h(-11). Let w = a - -10. Suppose 3*i + 18 = 3*p, w*p = -5*p + 4*i + 28. What is the nearest to -1 in p, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 8*g + 29. Let m be d(-3). Let b be 16929\/29736 + (-8)\/m. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rererrreeerrereree. What is prob of picking 3 e?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5\/3 - -13\/6. Suppose -3*n = 2*f + 6, 4 + 0 = 5*f - 2*n. Suppose 31*k - 35*k = f. Is k not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 156*l + 3379. What is b(26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32506*n*o**3 - 5*n*o**2 - 8925 wrt o.\nAnswer: 195036*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 - 3*c**4 + 4*c**4 + c)*(3397 + 12*c - 3397).\nAnswer: -12*c**5 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28046, -112214, -252502, -448904, -701414, -1010026, -1374734, -1795532?\n\"Answer: d**3 - 28066*d**2 + 23*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -4.6. Let f = 0.04831 - 7.04831. Let t = f - y. What is the nearest to -1\/4 in 1, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6262 - 6262 - 113*j**3 - 42*j**2 + 42*j**2.\nAnswer: -113*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18871*c - 21972*c + 93030 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j. Let a be 6 - 259\/42 - 10\/12. What is x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -16*f**4 - 5*f**3 - 29*f**2 + 5. Let m(r) = -24*r**4 - 8*r**3 - 44*r**2 + 8. Let l(x) = -5*m(x) + 8*p(x). Find the third derivative of l(y) wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 41 - 38. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 98795240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44680, 179807, 405378, 721393?\nAnswer: 1127852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 78*w**2 + 14*w - 13. Let i(m) = -134*m**2 - 24*m + 22. Let n(g) = 7*i(g) + 12*l(g). What is n(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 492476601*c**4 - 388898359 wrt c?\nAnswer: 1969906404*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 150 in -1, -2, -6, 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r*r**(2\/23))\/(r**0)**(7\/4)*(r*r**4)\/r**(-1\/7)*r**5\/r*(r\/r**(2\/25))\/r assuming r is positive.\nAnswer: r**(12678\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -7*s - 130. What is the smallest common multiple of 99 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287352163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -269704 + 269703.570034. Let j = 0.43 + t. What is j rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 920767467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 30*o - 57. Give z(0).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 8*l**3 - 59*l**2 - 634*l - 18. Let k(c) = -c**3 + c**2 + c + 2. Let g(m) = -36*k(m) - 4*o(m). What is y in g(y) = 0?\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 423 - 424. Put c, 1\/5, -2, 1 in decreasing order.\nAnswer: 1, 1\/5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c + 56*c - 5 = 0, 4*t - 3*c - 52495 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/8, 5\/4, -20436?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 210*l + 44100. Determine v(-210).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -7. Let w be ((2 - 2) + -2)\/z. Let q(p) = -2*p**2 + 31*p - 13. Let d be q(15). Sort -0.2, w, d.\nAnswer: -0.2, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**3\/3 - u**2 - 3*u - 22. Let x be t(-2). Suppose 15 = -5*p - x. Let y(l) = 2*l**2 + 6*l + 6. Give y(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 19\/14)*(-164)\/(-369).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**3 + r**2 + 11*r + 5. Let s(l) = -l**3 - 2*l - 1. Calculate 2*k(q) + 11*s(q).\nAnswer: -q**3 + 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -84. Suppose y + 2*y = g + 479, 5*y - 3*g = 797. Suppose -r = -z - y. What are the prime factors of r?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*v**3 + 2 - 31*v**3 - 19*v**3 - 126*v**3.\nAnswer: -128*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**4\/12 + 639*p. Let q(b) = -9*b**2 - 5. Determine q(j(h)).\nAnswer: -9*h**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 699080.6 to the nearest one thousand.\nAnswer: 699000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 6*x**2 - 41*x + 35. Calculate f(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/16 in 525, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*j + 48*j + 4 - 102*j with respect to j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + 6*(sqrt(1008) - 1*(sqrt(1008) + -2)))**2 + 2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/43? (a) -3 (b) 1366 (c) 0.06 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -764*c*u**5 + c*u**4 - 2*c*u**2 - 43*c + 6 wrt u.\nAnswer: -45840*c*u**2 + 24*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 196 and 1305138?\nAnswer: 127903524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50, 101, 150, 197, 242?\n\"Answer: -y**2 + 54*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41489.\nAnswer: 7, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 91 = -5*m, -3*m = -244 + 265. Let r = -71 - -113. What is the highest common divisor of t and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*r - 402 + 66 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 7*w**2 - 5*w + 6. Let y be k(-6). Suppose 0 = -6*m + 7*m. Solve y*h - 3*h = m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88419 is divided by 323?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5)**(-46)*((s\/(s**(2\/13)*s))\/s)**(5\/4) assuming s is positive.\nAnswer: s**(-12035\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.042483 rounded to 3 dps?\nAnswer: -2.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (sqrt(352) + sqrt(352) + sqrt(352)*-2*-1 + sqrt(352))\/(-1*sqrt(32) + (sqrt(2) - (sqrt(242) - sqrt(242)*2))))*-1 + -3)**2.\nAnswer: 20*sqrt(11) + 339\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*f + 3*o + 11, 4*o = 4*f - 4. Let z be (0 + -2 - 3)\/1. Sort z, f, -1.\nAnswer: z, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 148420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 383343280 divided by 76668656\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17080 and 132980.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -9. Solve a + 6 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8045 + -8054.509. Let x = q - -9.98. Round x to two dps.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 - (10 - 27) - (2 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 108*w + 524, 54 = -v - 3*w + 47 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 3*x - 116 = -0*b + 18, -x = -4*b + 26 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 77 (b) 5 (c) -2\/3 (d) 2\/3 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27277?\nAnswer: 27277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1404483, 39, 2 in ascending order.\nAnswer: -1404483, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 27*f**5 - 1818*f**4 - 5226*f**3 + 13068*f**2 - 3321*f - 2730 = 0.\nAnswer: -13\/3, -1\/3, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54240 + 125845. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99.6, 6, -28, 0.11 in ascending order.\nAnswer: -28, 0.11, 6, 99.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2 (c) 3 (d) 1\/11 (e) 0.045 (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7431517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 23277402.\nAnswer: 5\/23277402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-5\/11))\/v)**(-50))**(-42) assuming v is positive.\nAnswer: v**(-10500\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(10)\/sqrt(5))**2 + sqrt(8)\/(sqrt(8)\/sqrt(2)) - (sqrt(4)*1)\/sqrt(2)*3).\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.5 - -9.5. Let p = -381628 - -381648.0017. Let l = p - z. What is l rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13)**45 assuming f is positive.\nAnswer: f**585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -6 - (-1044)\/(-84).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001901135449 rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 1*sqrt(343) + sqrt(343) + sqrt(343))\/sqrt(7))\/sqrt(7).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 66\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 923, 931, 941, 953?\nAnswer: 967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (189\/(-18) + 9)*2\/1. Let r be 1\/3 + 16\/(-3). Let w be (1 - 2) + r\/p. What is the second biggest value in 0, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5816 = -12*u + 4768. Is u a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 - 6*k. Let j be s(6). What is j rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*t + 8 = 0, -3*t + 10 = 2*s. Suppose 0*v + 76 = s*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0 - 7\/(-6))*(-219)\/(-219). Suppose 0*g - 5*g = 0. Factor -1\/6*n**4 + p*n**2 + g + 1\/3*n - 1\/3*n**3.\nAnswer: -n*(n - 1)*(n + 1)*(n + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4)*0)\/2. Let f = 3 + 1. Suppose -w + u = f. Which is the third smallest value? (a) w (b) 1\/2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-28 + 14 - -5)) + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -218.\nAnswer: -3\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709 a factor of 1291341688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 27 = 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (89\/(-4))\/(22\/(-88)) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**7\/21 - 59*d**3\/3 - 59*d**2 + 31. Let j(u) be the second derivative of l(u). Differentiate j(p) wrt p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*w**2 + 606*f**3 - 15496*f**2*w**2 + 26*w wrt w?\nAnswer: -2*f**3 - 30992*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1205495455*t**2 + 1100882731*t wrt t.\nAnswer: 2410990910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 - 110*m - 65. Let l(o) = o**2 - 22*o - 18. Let n(p) = -14*l(p) + 3*x(p). What is q in n(q) = 0?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 586 and 6?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(1 + 0\/(-2)). Let s be (35 + (-1)\/1)*q. Let d = 50 - s. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-567)\/18 + -6)\/(60\/80*(-2)\/(-3))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**4\/8 + c**3\/3 - 6*c**2. Calculate z(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g - 2. Let b be o(3). Suppose -6*d + 3*d - 177 = 0. Let x = 369 + d. Calculate the highest common factor of b and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 75. Suppose g*u - 36*u = -855. What are the prime factors of u?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457431647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -23272*h - 37. Is q(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Suppose -4*b - 4 = -3*a, -3*a + 30 - 8 = z*b. Let f(g) = 0*g**b + 4*g**2 - 5*g**2. Let n(h) = 3*h**2. What is f(n(d))?\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 20 = 2*j, -5*j - 2*i = -8*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10 - (-5)\/((-5)\/(-2)). Let y be (18\/(-24))\/(3\/k). Suppose 5*q = -4*m - 12 + 40, y*m = q + 14. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47759\/(-2051) - ((-128)\/4 - -8).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12)**9*(v\/v**(6\/5))**30 assuming v is positive.\nAnswer: v**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 344*g - 749. What is the remainder when c(3) is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/3*(-419250)\/102125.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3586542?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22314 is divided by 2789.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12*-12)\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 15. Let g = i - 19. Which is smaller: 3\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 3. Is 13 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, n: 6, e: 3, w: 2, l: 6}. What is prob of picking 1 l, 1 e, and 1 n?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c + 190. Let d be q(17). Let y be (8 - (2 + 1))*d\/5. Solve 0 = -3*p + 3 - y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a - 5. Let o(c) = -5*c - 2. Suppose 5*y = 59 + 21. Let g = y - 25. What is g*o(h) + 4*n(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -138, -324, -588?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 13. Let t be x(8). Let i be 10 - 8 - t\/(-1). Which is the biggest value? (a) i (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93e37 (base 16) to base 8.\nAnswer: -2237067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.98 + 0.02. What is the closest to -2\/3 in o, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10833*x. Let l(j) = -19*j. Give f(l(w)).\nAnswer: 205827*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*c**5\/7 + 1347*c**4\/7 + 2227*c**3\/7 - 3195*c**2\/7 - 468*c\/7 = 0 for c.\nAnswer: -13, -3, -12\/89, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 56446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17964 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.35529 to 2 decimal places.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 140 + 114550722964\nAnswer: 114550723104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -34. Let d be 3\/(-4) + (-185)\/(-140). Put d, r, 3, -1 in decreasing order.\nAnswer: r, 3, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 141. Suppose 371 + g = 5*c. Suppose c = -b + 6*b. Solve 0*s + 5*s = -b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geexxbhjh. What is prob of picking 1 g and 1 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000963 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-744)\/(-434))\/((1*88\/(-252))\/((-66)\/(-99)))?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43005 + -12404?\nAnswer: 30201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b**5 + 21920*b**4 + 362634*b**3 - 81668*b**2 = 0. Calculate b.\nAnswer: -1201, -17, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 4*j + 2. Let z be w(-2). Suppose -5*c + 7*c = z. Solve -5*k - c - 15 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 674025 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6990.749 minutes?\nAnswer: 419444940000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 50*u**2 + 230*u + 42. Let n be f(-5). Let i(a) = -a**3 - 6*a**2 - 5*a + 4. Let k be i(-5). Solve k*l = -n + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -257 + 384 - r + 256 + 0*r - 2*r to a + b*r and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11895773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d - 29. Let a be z(9). Let s = -18 - 4. Let n = 22 + s. What is the closest to 0.2 in n, -4, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -92 + 488. Suppose -2*s - 289 = -3*k, -2*s - y - 62 = -2*k. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*r + 31. 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: -1368a (base 12) to base 7\nAnswer: -141253","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1803 + 3823 + 1753)*(-2 + 2 - 4*h**2).\nAnswer: -15092*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**6\/300 - b**5\/50 + b**4\/30 + b**2\/2 - 3*b. Let m(w) be the first derivative of i(w). Factor m(c).\nAnswer: 2*c*(c - 2)*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 5*r**2 - 42*r**2)*(-r - r + 4*r + (0*r - r - 4*r)*(2 - 7 + 4)).\nAnswer: -350*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (222\/(-18))\/((-1)\/27). Let l = u - 214. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k = -84*k + 464 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -12, -4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, y: 1, w: 3, i: 2, h: 7}. Give prob of picking 2 w and 1 q.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54327114 and -15.\nAnswer: -814906710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 6:09 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + ((1 + sqrt(704) - sqrt(704)) + sqrt(704))**2 + 3.\nAnswer: 16*sqrt(11) + 708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 6*l = 4*d - 235, -4*d + 205 = -5*l. Suppose 2*u + 0*m + 5*m - d = 0, 154 = 5*u - 4*m. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196999900 rounded to the nearest 100000?\nAnswer: 197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12607130689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15, -89, -261, -501, -809, -1185?\n\"Answer: -34*j**2 - 2*j + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 14 - 14)*(-2*b**2 - b**2 + b**2)*(2 + 2*b**2 - 2).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 55676854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619664364?\nAnswer: 2, 3, 11, 521603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 21*a**2 - a - 1. Let h be j(-1). Which is greater: h or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451858.\nAnswer: 2, 11, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 26 + 205850*x**2 - 205846*x**2 - 65.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7)\/(-126) - 78809408\/(-1152)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 l when two letters picked without replacement from {n: 1, t: 5, s: 2, l: 1, z: 3, i: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*m - 11*m - 6 - 15 - m as y + v*m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 712596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, -5, 5175, -6 in decreasing order.\nAnswer: 5175, 5, 3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (sqrt(80) - (0 + sqrt(80)))**2 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/7)\/((-13242)\/11035)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*l = 114*l - 182. Solve -l = -b - 3*o, 19*o - 22*o = -b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/4))**(-14))**(7\/9)\/((l**0*l)**(5\/9)*(l\/(l*l**(-1\/4)*l))**(-7)) assuming l is positive.\nAnswer: l**(-307\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from xxxuyxyqiiyxyffxyyuf?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 12 = -11*j. Suppose 6*l - 78 = j*l. Let w = -28 + l. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 666*j + 1253 = 667*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 7 = 3. Suppose -5*c - 51520 = -2*w - 3*w, 10316 = w - t*c. Let m be w\/(4 + 78\/(-20)). Round m to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208523020 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4640, -37396, -126382, -299714, -585508, -1011880?\n\"Answer: -4686*s**3 + s**2 + 43*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526*c**5 - 75117*c**4 + 96273464*c**2.\nAnswer: 31560*c**2 - 1802808*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -33?\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 8:30 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41927 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02286101477 and -0.03477.\nAnswer: -0.05763101477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 - -395. Suppose 0 = 5*k - c - 137. Suppose k = 6*h - h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20313 + 1022111302?\nAnswer: 1022030323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + 1 + sqrt(637)*2 + 1).\nAnswer: 1 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 0.021, 1\/5, 1\/2, 5?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4 + 11240*o**3 - 1610610*o**2 + 55153080*o + 56774925 = 0.\nAnswer: -2385, -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -141921? (a) -1 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -2\/781 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 45 = 7*a - 12*a, -2*a + 2*d - 2 = 0. Suppose -a + 20 = -4*w. Sort w, -75, -2 in decreasing order.\nAnswer: -2, w, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*o + 22 = 3*n, 3*n + 3*o = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by (45\/4)\/(-6*(-4)\/288)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 88*i - 317 - 98. Solve 0 = 5*c + i*t - 17, 17*c = 21*c - 3*t - 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l + 2. Suppose 0 = n - 13 + 11. Let f(i) = i - 1. Determine n*t(r) + 6*f(r).\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**3\/3 + 878*s. Let i(m) = -m + 1. Let o(u) = 198*u - 176. Let n(d) = -528*i(d) - 3*o(d). Calculate n(y(q)).\nAnswer: 132*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3368 and 3.\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12344262701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 9 + 3. Let a be 22\/44 + t\/(-2). Factor 8*h**2 + 28*h**3 - 2*h + 144*h**4 + a*h - 124*h**4.\nAnswer: 4*h**2*(h + 1)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 33 = -4*k. What is the third derivative of 3*g**k + 6*g**6 - 43*g**2 - 3*g**3 + 68*g**2 wrt g?\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - a + 10*a - 2*a - 4*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, x: 2, a: 8}. Give prob of picking 1 x and 1 a.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 188103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11827, -23650, -35471, -47290?\nAnswer: -59107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9*k**2 - 107*k + 2967. What is t(-24)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 91*x**2 + 662*x - 64. Determine t(-83).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from tyytytt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2.4, 4, -1\/4819 in descending order.\nAnswer: 4, 0, -1\/4819, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, -5, -0.5, -4.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 575512 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-72 + 2 - -3)*-1. Let v = k - 62. Is 6 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4165339319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -2*q + 2*z - 17, 4*z + 41 = 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -49. Let y = 15 - 10. Which is the smallest value? (a) y (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -19*z + 8*z. Suppose z*f + 2*j = 47, 0 = -4*f - 5*j + 4*j + 40. Calculate the remainder when 75 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 64 = -r - q, 0 = -r + 4*q + 58. Suppose -5*i + 118 + r = 0. Suppose l = 0, -2*h - 8 + i = -4*l. Calculate the remainder when h is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -17\/210*c**7 + 0*c**5 + 0*c**4 - 20*c**2 + 0*c + 0 + 0*c**6 + 1\/3*c**3. Differentiate f(x) with respect to x.\nAnswer: -68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + c, 3*c = 2*t + 16 - 6. What is the second biggest value in -0.05, -16, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (5 - 7) + (-4 - -4). Solve 3*w + 55 - 46 = f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 n when four letters picked without replacement from {n: 3, i: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -43 + 3. Suppose -2*k + 4*k = w. Factor 4*n**2 - k*n**2 - 3*n**2 + 2 + 4*n**2 - 3*n.\nAnswer: (n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -11 (c) -280702\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l - 24. Suppose -38 = -4*t + 2*j, 0 = -7*t + 8*t + 3*j - 6. Calculate the highest common divisor of t and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554278 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6543 + 19*j**4 - 27*j**4 + j + 6549 in the form l*j**4 + t*j**2 + u + k*j + m*j**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74780.55 millennia to months.\nAnswer: 897366600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296636423.\nAnswer: 293, 1012411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -835*v**2 + 34*v + 1236540.\nAnswer: -1670*v + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 1. Let h(u) = 33 - 57 + 23. Let p(r) = 4*a(r) + 4*h(r). Let w(i) = -2*i. Give p(w(d)).\nAnswer: -64*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + x**2 + 37*x - x**2 - 2*x + 6*x**2 + 1 + 2*x**2 to the form j*x**3 + d*x + v*x**2 + k and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssrsbkvssbrr. Give prob of sequence vr.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*c - 128*c - 77*c + 82*c - 42*c.\nAnswer: -292*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, -0.4, 5, 1\/3, 1\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/15*3*560\/392.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = p + 3*l, -4*p + l + 83 = -4*l. Suppose 3*k - 73 = p. Calculate the remainder when 34 is divided by -4*(-3)\/30*k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c036 (base 13) in base 16?\nAnswer: -6729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04438 + 67.83438. Let n = i + -68. Round n to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133392768 to the nearest 100000.\nAnswer: -133400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.66 times 0.4?\nAnswer: 0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*h + 17. Let m be 2*(h - (-21)\/18). Sort -4, m, 2\/9, -0.5 in decreasing order.\nAnswer: m, 2\/9, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**3\/3 + 39. Let z(v) = -6*v. Let h(r) = -2*r. Let u(x) = 7*h(x) - 2*z(x). Give u(s(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 2 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 23115217 to the nearest 1000.\nAnswer: 23115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037328631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -165? (a) -202 (b) 5 (c) -5 (d) -0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211 + -196. Let x be (q\/(-6))\/((-3)\/6). Let c(u) be the third derivative of -u**5\/60 + u**4\/6 + 7*u**3\/6 - u**2. Calculate c(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 113 = -13. Let t be 2\/(-9)*15\/d. Which is the second biggest value? (a) 1\/5 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -3, 141, -1 in descending order.\nAnswer: 141, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let p(m) = -m**2. Let x(h) = -3*f(h) - 5*p(h). Let b(y) be the first derivative of -6*y**3 + 4*y**2 + 1605. Calculate b(x(d)).\nAnswer: -72*d**4 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 7*b + 9)*(-3 + 2 - 1) + 656*b - 1356*b + 543*b to the form v + d*b and give d.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:34 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqiixtttktktqqi. What is prob of picking 2 k and 1 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 74.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6\/r*r**(-1\/5))**(20\/3)\/(r**(-2\/25)*((r\/(r\/(r\/(r\/(r**(-6)\/r)))))\/r)\/r)**(-1\/37) assuming r is positive.\nAnswer: r**(29373\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 260*f**2*n - 104117*f**2 - 57*f*n - 12*n + 31 wrt n?\nAnswer: 260*f**2 - 57*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4, b - 5*l = 4*b - 41. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 e when three letters picked without replacement from ooooeeeeeooee.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 280*x + 38. Let w be c(5). Let a = w + -1006. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.2 and -6.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k + 11. Let p(t) = 4*t + 6. Let s(v) = -6*j(v) + 11*p(v). Let u(d) = 9*d. Calculate s(u(z)).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -15*d**5\/4 + 8425*d**4\/2 - 39185*d**3\/4 - 28095*d**2\/2 + 39245*d - 11210 = 0?\nAnswer: -2, 1\/3, 2, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979859.\nAnswer: 41, 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 136 + 22 = 0. Let q(a) = 51*a - 394. Let h be q(7). Let v = r + h. Put v, 2, -4, -1 in decreasing order.\nAnswer: 2, v, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 1748295.\nAnswer: 1748300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/37))**43)**33 assuming o is positive.\nAnswer: o**(-2838\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 451.2 times 20\nAnswer: 9024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**3 - 32*j**2 - 11*j + 10. Let c(v) = 4*v**3 + 14*v**2 + 5*v - 4. Let t(y) = -7*c(y) - 3*d(y). What is t(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/(-21)*(-119)\/17. Let v(n) = n**3 - 26*n**2 - 9*n - 20. Let f be v(g). Put 4, -3, f in ascending order.\nAnswer: f, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 6*d**2 + 12*d - 11. What are the prime factors of w(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 5*s + 3. Let a be m(-3). Let o be (a\/2)\/((-1)\/2). Which is greater: -10 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1 + -4 + 1 + sqrt(1008))**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 228504 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -5, -0.1, 5 in decreasing order.\nAnswer: 5, 0.06, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3666323\/25 + -146681. Let q = -52823\/1850 - u. What is the common denominator of -83\/8 and q?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 378974?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Let t(o) = o**2 - 4*o + 1. Let r be t(v). Solve j = 2*j - r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 173 - 163 = -z, 0 = -9*z + 4*i + 57 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 t when three letters picked without replacement from {t: 2, l: 2, b: 1, f: 1, e: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65*x + 58*x - 3*x**5 - 124*x + 339*x**4 + 13*x**2 wrt x?\nAnswer: -180*x**2 + 8136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21155*k**3 - k + 24*k**4 - 21155*k**3 + (k**2 - 4*k**2 + 0*k**2)*(2*k**2 + k**2 - k**2) - 2*k**4 + 0*k + 0*k + 3*k**4 - 4*k**4 + 0*k**4.\nAnswer: 15*k**4 - k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11757 + 19104. What is the thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78972927 to the power of 1\/2, to the nearest integer?\nAnswer: 8887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 165179460 + 4.\nAnswer: 165179464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 28, 5 in descending order.\nAnswer: 28, 5, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - h = f - 4*h + h, 2*h + 1214 = 305*f - h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) -2\/5 (b) 64 (c) 0.3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.15 - 32067.57\nAnswer: -32068.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 8*i)*((-3 + 4 - 2)*(2 - 1 - 2) - 2 + 0 + 0 - 1 - 1 - 1).\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16387\/24585 - -1\/8195. Factor 4\/9 + 0*i**2 - a*i + 2\/9*i**3.\nAnswer: 2*(i - 1)**2*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((27\/(-6))\/3)\/(12\/2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 + 51*y + 322. What is the remainder when 430 is divided by a(-10)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 1859?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908071018 take away -110?\nAnswer: 1908071128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 555 and 10680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1552415 (base 7) to base 6.\nAnswer: -4333235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -22, 1196, -3, -2\/27?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 155 - 3?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 327, 1241, 2743, 4833, 7511, 10777, 14631?\n\"Answer: 294*a**2 + 32*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.0529 + -0.0529. Let u = -0.2 + 0.4. Which is the second biggest value? (a) u (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(9\/12 + 0). Suppose -2*l = -7*l - q + 24, -l - 4*q = -1. Let x = 9 + -4. Solve -5*r + d + 4*d = x, -a*r + 23 = l*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 675*y**2 + 2004*y + 1332.\nAnswer: 3*(y + 1)*(y + 2)*(y + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 148 - -68?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 + 100 - 100.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 71. Suppose 6*j - 179 = -p + l*j, 935 = 5*p + 2*j. Calculate the highest common divisor of 35 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -2 (c) -21.4 (d) 3\/7 (e) -11 (f) 0.05 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxq when three letters picked without replacement from xxq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = d + 3765. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n - 9. Let q(l) = -4*l + 8. Let t(s) = -5*i(s) - 6*q(s). What is the lowest common multiple of t(-5) and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10557, 16 in increasing order.\nAnswer: -2, 16, 10557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50264 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 + q**3 + 12 - 7*q - 1 - 7*q**2 - 1. Let f be p(8). Solve 0*w + f = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -4530369.\nAnswer: -4530371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12214, -12534, -12876, -13252, -13674, -14154, -14704?\nAnswer: -15336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1*r)\/r)\/r)\/(r\/(r*r**2)) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -262*i + 1765. What is h(6)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*m - 1 - 27*m**3 + 23*m**3 + 14*m + (0*m - m**2 + 0*m)*(-3*m + 0*m + m).\nAnswer: -2*m**3 + 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5383269092 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -1369*x**4\/4 + 74*x**3 - 6*x**2 + 362*x. Let g(c) = 0. Calculate c.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79586 and 22.\nAnswer: 875446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13520365 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 + 25*s**3 + 1 + s + 16*s**3. Let m(q) = 15*q + 137. Let z be m(-9). Is l(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 408800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 18*s**2 - 17*s + 37. Let h be v(-19). Which is the nearest to h? (a) -2 (b) 5 (c) 0.2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -56. Suppose 3*p = w + j*w + 44, 4*p = -5*w + 12. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-4 - 1) - (4 + 1) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 721 + -688. What is the highest common divisor of g and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11067036 divided by -19\nAnswer: -11067036\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let i(f) = f**2 - 2*f - 2. Let g(j) = -2*j**2 + 2*j**2 + 1 - 2 + 6*j**2 - 7*j**2 - j. Let o be -1 - 1\/((-1)\/(-1)). What is o*g(x) + y*i(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182317 - 182317.0000192606. Round j to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 39779 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (49\/2)\/(2\/16). Suppose 2*l + 2*u - 108 = 16, i = 3*l - 2*u. Suppose -2*g - 4 + 36 = 0. What is the highest common factor of g and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/117333 and -37\/27.\nAnswer: 351999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8634?\nAnswer: 2, 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 9*f**2 + 5*f - 31. Let y be l(-8). Let k = y - -7. Suppose k = 27*h - 30*h + 66. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*v + 301*v + 3070 + 14134 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/60 - 5*i**4\/24 - 5*i**3\/6 - 4*i**2. What is the units digit of n(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066 (base 8) in base 11?\nAnswer: 8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 111*r - 111. Let z be w(38). Solve 6*d - 4*c = 5*d - 7, -c = -z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 4 (b) -0.2 (c) 372\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3259 - 3*l**2 + 3260 + l**3 - 2*l**2 - 3*l. Determine z(4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482578172 to the power of 1\/2, to the nearest integer?\nAnswer: 21968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d6 - 1?\nAnswer: 1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1788, 1789, 1790?\n\"Answer: z + 1787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2151 + -340?\nAnswer: -2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**(2\/3))*w*w*w*w)\/w)**(-40)\/(w**(-3\/4)*w*w**4*w))\/(w**(5\/3)\/(w\/(((w\/(w**(1\/8)*w))\/w)\/w)*w*w)*w**2*w**7) assuming w is positive.\nAnswer: w**(-3779\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.59735 + -0.2.\nAnswer: 7.39735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -18110\nAnswer: 3\/18110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96178 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a**4 + 21*a**3 - 2*a**2*s - 33*a*s - 3767 wrt a?\nAnswer: 252*a**2 + 126*a - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -61, -52, -29, 14?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g - 81. Calculate the remainder when 3 is divided by s(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 82*y + 16848 = -293*y + 22*y for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + d + 95 = -2*j, 2*j - 2*d + 38 = 0. What is the remainder when (-244)\/(-61) - 7*j is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 6, -4, -1 in decreasing order.\nAnswer: 13, 6, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 8 = k, -12 + 4 = 3*k + u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8129*i + 2154156. Give f(265).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 914 = 854. Is x a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**4 + 124*n**3 + 181*n**2 + 86*n. Let a(w) = -3*w**4 + 134*w**3 + 182*w**2 + 85*w. Let p(s) = 4*a(s) - 5*f(s). Suppose p(r) = 0. Calculate r.\nAnswer: -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 11:33 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -22*d**2 + 18 + 72*d - 18 - 14*d**2. Let y(n) = -n. Let f(t) = -5*o(t) - 360*y(t). What is the tens digit of f(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 5, 3*n - 6*n - l = -1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -231640 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.3, -175, -0.4, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 16 = -v, 5*u - 3*v = 3*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i - 4*d + 14, -3*i - 13 = -d. Let o(w) = 6*w**3 + 4*w**2 + 4*w - 6. Let j(y) = -7*y**3 - 5*y**2 - 5*y + 7. Calculate i*j(r) - 5*o(r).\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.94059221 rounded to 2 decimal places?\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-729)*-81*(-36)\/(-14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = r, -4*i + i + 15 = 2*r. Let s(b) = 4*b**2 + 1 + 2 - i*b**2 - 3*b + 0*b. Let m be s(2). Solve 5*t + m = 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - k + 1. Let s = 7 + -6. Let b be m(s). Solve -b*r - r = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzfztzzzfztzftzttz. Give prob of picking 1 t and 2 f.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -112*m**2 - 6*m - 71. Let t(f) = 37*f**2 + 2*f + 24. Let i(k) = 3*b(k) + 8*t(k). What is the second derivative of i(d) wrt d?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(176)*-3*-1 - (-2*sqrt(396) + ((sqrt(121)*-1)\/sqrt(11))**2).\nAnswer: -24*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 724780 and 45?\nAnswer: 6523020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -2. Let c = -1.4986 + d. What is c rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:18 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, -221\/5, -3 in descending order.\nAnswer: -3, -221\/5, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60270)\/735*(-4)\/(-8).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mamaaaamaam. Give prob of picking 1 m and 2 a.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1530 and 408?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 97*x - 95*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (-249 - 0)*((-112)\/(-21) - 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2247*a + 4*a**2 - 2*a**2 + 2253*a - 2*a**2 - 2*a**2 + 3*a**2 - 5*a**2 + 3*a**2 + 0*a**2 + (3 + a - 3)*(-4*a + 5*a - 3*a))*(2*a**3 - 3*a**3 + 0*a**3).\nAnswer: 3*a**5 - 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433101640?\nAnswer: 2, 5, 10827541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177518200 to the nearest integer?\nAnswer: 13324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1904*l + 3410*l - 1502*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*k + 16*k - 7*k + 66*k)*(2*k + 0 + 0).\nAnswer: 218*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 + o**2 + 6064*o - 12127. Give z(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42 - 3*i - 42)*(-3*i**2 - 8 - 11*i**2 + 10) + (127 - 127 + 13*i)*(-2*i**2 + i - i).\nAnswer: 16*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -87.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2 + 113*k - 9. Let q be f(9). Calculate the highest common factor of q and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 918972498 to the nearest integer?\nAnswer: 30315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.0507+121\nAnswer: 120.9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103*j**2 - 9*j**3 + 103*j**2)*(1 + 0 - 3) + 10 - 10 + 3*j**3 + 6 + j**3 - 6 to the form t + y*j + u*j**3 + b*j**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12\/(m\/((m\/((m**(-9)*m*m)\/m))\/m)))**(2\/5) assuming m is positive.\nAnswer: m**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1084, -1067, -1038, -997, -944, -879?\n\"Answer: 6*i**2 - i - 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -90 (b) -518 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 61*f**2 + 2700*f + 146414. Determine g(-58).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, 2.1, 0.27, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 248, -4, 3, -1 in decreasing order.\nAnswer: 248, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 37*a**4 + 2*a**3 - 9*a + 1. Let h(z) = 36*z**4 + 3*z**3 - 9*z + 1. Let s(g) = -2*h(g) + 3*x(g). Find the second derivative of s(r) wrt r.\nAnswer: 468*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21842682 is divided by 201?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 4*n**2 - 3*n + 6. Let c be u(6). Suppose -28*j - 24*j + 7800 = 0. What is the highest common divisor of c and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18)\/270*(2 - (9 - 2)). Is c < 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 234, 207, 160, 87, -18, -161?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let k(r) = -9*r**2 + r. Let s be k(-1). Let d be ((-3)\/2)\/(5\/s). Let c(f) = d*f**2 + f**2 - 2*f**2. Calculate u(c(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 604\/(24 - 2 - 18). Solve -152*g = -p*g - 5*b - 17, -14 = 2*g + 2*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 (base 6) in base 10?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(104))\/sqrt(8)*2 + 2*sqrt(637) + ((3*sqrt(117) + sqrt(117))\/sqrt(9))**2.\nAnswer: 22*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55162 (base 8) in base 12?\nAnswer: 11496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-473)\/(-516) - (-10)\/(-6) - 1110\/(-40)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 1*32\/18. Let m = 28 - 32. Let p = 0.8 - 0.3. Which is the third smallest value? (a) p (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let n(z) = -6*z**2 - z - 1. Let h(f) = -n(f) + 3*x(f). Let v be h(-6). Suppose 8*t - 323 = v. Calculate the highest common divisor of 46 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 2*u**2 - 5*u - 1. Let b(p) = p**3 + 3*p**2 + p + 4. Let c = 7 + -10. Calculate the least common multiple of b(c) and j(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16*j + 16*j + 2*j**3)*(3 - 4 + 4 + (-3 + 1 + 4)*(-2 - 1 + 2) + 1 + 2 - 1) as h*j**2 + i*j + f + l*j**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0. Let x = -13 - -14. Put v, 4, x in decreasing order.\nAnswer: 4, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155 divided by -5?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by 5\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 + 1\/120*m**5 + 0*m**4 - 1\/168*m**8 - 1\/48*m**6 + m**2 + 2\/105*m**7 + 0*m + 0*m**3. Let v(a) = 0. What is a?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3755.7 - -3755.6. Let d = 59.68 - 64. Let b = -4 - d. What is the biggest value in -0.5, r, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x = 49*x + 34. Suppose 0 = -x*d + 19*d - 188. Let y = 149 - d. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from yucyuuccvuy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*m - 0*m - 1, 3*m - 12 = -3*k. Suppose 44*x + 8 = 2*u + 39*x, 0 = -u + 3*x + 4. Solve k = -u*d + 5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12888 is divided by 358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 39*t + 165. Let v(j) = -j**2 + 80. What is the remainder when v(0) is divided by m(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1632416413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*i*l - 44004*i + 3347472*l with respect to i.\nAnswer: 26*l - 44004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 16495464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (10 + -1)) + (1141 - 1117).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1464807, 2929611, 4394415, 5859219?\nAnswer: 7324023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/4 + 8*n**3\/3 - 10*n**2 + 16*n + 373. Factor k(l).\nAnswer: -(l - 4)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 36. Suppose -2*y = 7*u - 2*u - 6001, 4799 = a*u + y. Let r be 2\/(-2)*-1 + u. Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a74 + 3?\nAnswer: 1a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57088.38 days to seconds.\nAnswer: 4932436032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 746963\/6 - 124053. Let h = y + -437. Find the common denominator of ((-102)\/(-84))\/(2\/(-2)) and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21426, 43891, 66374, 88881, 111418?\n\"Answer: j**3 + 3*j**2 + 22449*j - 1027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7936 and 13232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4031*f - 4011*f = 1440 for f.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 15*a**2 - 42*a + 107. Suppose 10*h - 55 = 5*h. Calculate the remainder when h is divided by j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (-82 - -25) + 134?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 175 + 199, -g + 136 = 3*y. What is the lowest common multiple of 654 and y?\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l - 30. What is the units digit of b(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1431 - -4?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16176*j**5 + 1553*j**2 - 17 wrt j.\nAnswer: 970560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1900))**2 + (sqrt(19) + -2)*1.\nAnswer: 61*sqrt(19) + 1907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h = 52*h + 7. Calculate the remainder when (-4)\/(-6) + 104\/6 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11357 by 41.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -80, 0, 18, 4 in decreasing order.\nAnswer: 18, 4, 0, -1, -2, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 z when three letters picked without replacement from {z: 1, d: 2, c: 6, s: 2, l: 3, j: 4}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 2*g + g + 0*g - 71 = 0, -53049*g + 53034*g = 315 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by (15 + (308 - -5))*(-2)\/(-16)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*t**2 + 13*t**2 - 54*t**2 + 85*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 17 + c - 3\/2*c**2. Let z(i) = 2*i. What is z(u(j))?\nAnswer: -6*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51086 - 3*i**3 - 51083 + 0*i**3.\nAnswer: -3*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 23 = 5*v, 3*w + 2 = v + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 9*f**2 - 6*f - 14. Suppose 0 = 20*o - 8*o - 96. Calculate the smallest common multiple of s(o) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)\/(p*p*p**(-2)*p))**(-1\/11) assuming p is positive.\nAnswer: p**(1\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/30*(-1)\/((-4)\/1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/9 - 16*g**3\/9 + 14*g**2\/3 - 44*g\/9 + 16\/9 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -43*n - 37. Calculate p(1).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -6*d + 24. Do 6 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64555*v - 17040.\nAnswer: 64555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 38, 67, 98, 131, 166, 203, 242?\n\"Answer: i**2 + 26*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60778*m**2 - 249*m - 30*m**3 + 249*m + 60778*m**2.\nAnswer: -30*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 10:06 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*i + 13*i. Suppose -3*h = -i*h + 5, 2*v + 3*h - 47 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 42*o**2 + 9*o - 5. Let i(r) = -257*r**2 - 56*r + 31. Let s(z) = -2*i(z) - 13*j(z). Let t(f) = -16*f**2 - 3*f + 2. Determine -3*s(a) + 5*t(a).\nAnswer: 16*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (11550\/(-385))\/(2\/14 + 304\/28)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 214 = 4*s, 0 = -3*s - 2 - 1. Let f = 112 - g. What is the remainder when 102 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 5:33 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j - 40 = 8*j. Suppose -m - 20 = -2*f, 4*f + 0*f = -m + 40. Calculate the highest common factor of j and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1033 (base 6) to base 4\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -392903\/89122 + -2\/4051. Find the common denominator of n and 19\/(-2)*19\/114.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022414499 rounded to six dps?\nAnswer: 0.002241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14515445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - r**2 - r. Let f(d) = -19*d**3 - 6*d**2 - 3*d + 4. Let m(w) = 6*b(w) - f(w). Let q be m(3). Let a = 973 - q. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35911\/24 + -5977\/4. Let q = b - 11\/8. Let v = 4185 + -25103\/6. Is q bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + 2*sqrt(1008)*5 + 5 + ((sqrt(70) + (sqrt(70)*-1 - sqrt(70) - sqrt(70)) + sqrt(70))\/sqrt(2))\/(sqrt(60)\/(sqrt(24)\/sqrt(2)))).\nAnswer: 36 + 476*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74534057.\nAnswer: 13, 47, 199, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -60*z. Let h be a(-1). Let c = 10 - 17. Let y = c + 31. What is the greatest common divisor of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461 is divided by 100.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 323*n + 2. Let i(r) = -5*r. Let w(o) = -3*o. Let g(j) = -4*i(j) + 7*w(j). Calculate k(g(c)).\nAnswer: -323*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1021*h + 19. Let v be c(1). Let m = 1813 + v. What is the hundreds digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**4 - 73*c**3 + 71*c**2 - 3*c + 3. Let f(j) = 5*j**4 - 72*j**3 + 69*j**2 - 2*j + 2. Let z(x) = -3*f(x) + 2*q(x). Find k, given that z(k) = 0.\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 15*t**2 - 820*t - 212. Calculate z(-37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16596 - 7339. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3451 smaller than -3451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 + 3909397?\nAnswer: 3909436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 245*k**2 - 3024*k**3 + 17*k**2 - 8*k + 8*k wrt k?\nAnswer: -18144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**6\/27 + 2*p**5\/5 - 23*p**4\/18 + 22*p**3\/27 + 8*p**2\/3 - 40*p\/9 + 34. What is q in d(q) = 0?\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9869 divided by 222\nAnswer: -9869\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 14*c**2 - 2993*c - 738337. Let y(r) = -5*r**2 + 998*r + 246118. Let q(w) = 6*d(w) + 17*y(w). Factor q(j).\nAnswer: -(j + 496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 0.4, -1\/5, 1\/3 in increasing order.\nAnswer: -1\/5, 1\/3, 0.4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3374235 + -67413789\/20. Let o = q + -3547. Find the common denominator of o and -2 + (-65)\/70 + 3.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 209, 390, 571, 752, 933, 1114?\n\"Answer: 181*o + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.22284851 and -0.3.\nAnswer: -0.52284851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007216060239 to 6 dps.\nAnswer: 0.007216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109.08 + -113. Let w = -0.08 + u. Put w, -0.3, 0.4 in descending order.\nAnswer: 0.4, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-16) - 15\/(-4). Suppose 0*a - v = 2*a. List the prime factors of (2 + (-106)\/4)*a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.73 * -9.1535\nAnswer: -79.910055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -9866822*c. Let r(w) = -2*w**2 - 46. Determine r(l(g)).\nAnswer: -194708352759368*g**2 - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -234 - -259. What is the greatest common divisor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43327656 divided by 401182.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.1 + -32. Let f = -1.3 - -4.3. Let y = 0 - -4. What is the smallest value in d, y, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 2*l**6\/27 - 23*l**5\/90 + l**4\/3 + 7*l**3\/2 + 22*l**2. Let n(h) be the first derivative of i(h). Find a such that n(a) = 0.\nAnswer: 2\/5, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -772 + -896.61.\nAnswer: -1668.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, b: 6, e: 1, i: 3, z: 2, q: 2}. What is prob of picking 2 b, 1 q, and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -32. Let k be c*(-3 + 3 + -1). What is the highest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 123049, 246121, 369193, 492265, 615337?\n\"Answer: 123072*p - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.109 - -35. Let x = 0.179 + p. Which is the second biggest value? (a) x (b) 4 (c) -5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + -109. Let s(v) = v + 14. Let z be s(-9). Which is the closest to h? (a) 1\/5 (b) 7\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 5*y**2\/2 - 655. Let s(f) = -f + 43. Determine s(l(m)).\nAnswer: -5*m + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 - 0.01. Suppose c = -l + 6, 4*c - 1 = l + 3. Suppose 60 = 2*m + l*m. Sort m, -4, y in increasing order.\nAnswer: -4, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 284 = k. Find the common denominator of 101\/20 and (k\/(-3))\/((-30)\/9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3 and -49\/86283.\nAnswer: 86283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*d**2)*(4*d - 2*d + 0*d) + d - 4*d**3 - d + (0*d + 2*d - d)*(3 - d**2 - 3) to y*d**3 + u*d**2 + n + t*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495 and 1029925?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1296\/192 - 3358\/552.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m - 43. What is f(14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 0*f**3 + f**3 + (2*f - f**2 - 2*f)*(2*f - 3*f + 3*f))*(-f + 2*f + 9 - 3).\nAnswer: -4*f**4 - 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/4 + 45403124*d + 2061443668959376.\nAnswer: (d + 90806248)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -68*o. Let j(m) = 64*m**2. Calculate x(j(c)).\nAnswer: -4352*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*sqrt(52)\/(3*sqrt(4)*-2) + 4 + (sqrt(208) + -3*sqrt(208))*-3)**2.\nAnswer: 200*sqrt(13) + 8141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 57 + 33. Suppose -5*d + 5*j + 60 = 0, 3*d - b*j = 4*d - 20. Which is greater: 11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y + 247*b = 244*b + 72, 0*y = 2*y - 4*b + 6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 9*u**2 + 3*u - 11. Let p be y(9). Suppose -3*m = 4*b + 4, 0*b - 2*b - p = -2*m. Suppose -m*j = -6*j + 120. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 9556176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80192502 is divided by 412?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 10880400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -4. Let m = r - -41. Let s(a) = -18*a - 2*a**2 + 3*a**2 + m*a. Let o(g) = -2*g. Calculate o(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/5, 1\/5, 4165043?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.5 (b) -25 (c) 2 (d) -10 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1141694904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(sqrt(288)*3 + sqrt(288) + -3 - (-2*(sqrt(288) + sqrt(288)*1))**2)*-5.\nAnswer: -368880 + 3840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68278?\nAnswer: 2, 7, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.7 - -53.7. Which is the closest to 1\/3? (a) -1\/4 (b) r (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2275 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 5. Let f be s(-9). Suppose -f*w - 20 = -3*x, -5*w = 2*x + x + 25. Solve x = -c + 3, -k - 12 = k - 4*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62760 and 35195808?\nAnswer: 175979040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126.63 + 130. Let b = z - 5.37. Let v = 0.1 + 0.3. What is the second smallest value in v, b, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 104374882595 from -3.\nAnswer: -104374882598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose -q*t - 68 = -2*z - 14, -3*t = -4*z + 85. Let f = 26 + t. Solve f*u - 19 = 5*r, -r - 6*u = -2*u - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512533.342 - -1.09318.\nAnswer: -512532.24882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 76*z**2 - 91*z - 343. Does 4 divide l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19*(-1 - (-2 + (-2)\/1)). Let k = g + -9. Suppose -77*z + 73*z = -k. Calculate the highest common divisor of 228 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*i + 3 = 0. Let l = 74 + -82. Let o be ((-1)\/4*l)\/((-2)\/(-3)). Put i, o, 5 in ascending order.\nAnswer: i, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106819 - 106797. Let h = -119 + 237. Calculate the remainder when h is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 47 = -37. Solve -h = 5*n + 2*t, -n - 5*t + 0*t = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + g = 25, 2*o - 2*g - 19 = 3. Suppose 0 = 2*u + 5*p - 15, -u - 52 = -o*u + 2*p. Solve j + j = u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 2.5. Let j be (-61 + 66)\/((-10)\/(-6)). What is the fourth biggest value in 0.4, y, j, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 21 - (-5 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a463 + 148?\nAnswer: 11a5ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 10129628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1478, -1714, -2024, -2426, -2938?\nAnswer: -3578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 232 - 235. Let w(d) = d**2 + 7*d + 26. Let h be w(t). Which is the second biggest value? (a) 2\/9 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 + 5*q - 2. Suppose 5*h = -2*o - 15, 3*o = 2*h + 2*o + 15. Is a(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 6)*(-6*b + 2*b + 0*b)*(25 + 26 - 46) - 2*b - 1 + 1.\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*j**6 + 19*j**3 - 5*j**2 + 7*j + 24.\nAnswer: 3840*j**3 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 3*f - 10. Let u(w) = -14*w**2 + 9*w - 29. Let t(j) = -17*b(j) + 6*u(j). Let z be (2 - 0)\/(4\/(-10)). Let c be t(z). Solve 1 = 5*m + c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 5*m**3 - 241*m + 492*m - 252*m + 1 - 4*m**2 to the form f*m + k + o*m**3 + z*m**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/660 and 41\/600.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c. Let m(g) be the second derivative of 0 + 1\/2*g**3 + 2*g + 0*g**2. Give m(h(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*20\/750*-10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58\/232*(-24)\/(-21) + 66\/(-252)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9725 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 83 = 15. Let g(p) = 2*p + 8. Let q(c) = c + 1. Let f(a) = -g(a) + q(a). Determine f(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 8 + 18 + (1 + 1 - 1)*(3 + 0 - 5) - 2 + 0 + 3)*(0*x + 2*x - x)*(1 - 1 + 1 + (-2 + 3 + 1)*(-1 - 1 + 0) + 0 + 3 - 1).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkee when four letters picked without replacement from {p: 5, e: 13, k: 2}?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 738179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.5 (b) -703 (c) 1 (d) -23.3 (e) -0.4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - -3 - (501 + -501) - -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from qffiaaiiff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 209 = -17*t. Calculate the remainder when 246 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 125 = -0*r - 4*r, -3*p - 15 = r. Let g = 15 + r. Let z be (-4)\/10 - (-4794)\/g. What is z rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58776 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*b + 5*b = 5, 0 = -3*f - 2*b + 5. Suppose -7 - 5 = -f*s. Solve -2 = -h + s*n, h - 2*n + 4*n = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + a1?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*2\/(-15)*(-80)\/(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = 0. Suppose 0 = 5*m - r*m. Suppose 5*n + 4*d = -d - 5, -2*n + 3*d + 23 = m. Calculate the lowest common multiple of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011101101 (base 2) to base 11\nAnswer: -1798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 1, 22268 in decreasing order.\nAnswer: 22268, 1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.1. Let d = 54401.400006 + -54401. Let w = d - t. What is w rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + -3 - (22 - 22)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*k**2 - 18*k**3 + 1 - 3 + 44*k**3 - 28*k**3 - 19*k**6 wrt k.\nAnswer: -2280*k**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 5*r - 26. Let h be z(9). Which is the third biggest value? (a) h (b) -2 (c) -4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at most 69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 826172744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 986621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(70)\/(2*sqrt(7))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.80019 - 0.8. What is p rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(4*g - 5*g - g)*(-4*g + 0*g + g) - g**2 + g**2 - g**2 + (-g - 2*g + 2*g)*(3*g - g + 0*g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5495669.8 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238183368 + 38487323 = c + 151533955. What is c rounded to the nearest 1000000?\nAnswer: -351000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -35*q**4\/6 - 2*q**3 + 3*q**2 + 66*q. Find the second derivative of d(o) wrt o.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2*f = -2*d - 13, 2*f = -2. Which is the second smallest value? (a) -0.3 (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/3*(-12)\/8. Suppose -3*u = 5*g - 44, g - 4 = -3*u - 0. Let i = g - d. Solve 9 = 5*x - i*x, -4*x = -4*t - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -3. Let c = 22 + -20. Let w(y) = 9*y + 4*y**3 - 2 - 5*y**3 - 11*y - c*y**2. Give w(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 3*u**2 + 2. Let p be (-3)\/(-5) + (-24)\/(-10). Let y be x(p). Suppose -3*s = -y - 1. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -502*y + 253*y + 253*y + 3. Let z(t) = 11*t + 9. Calculate 8*a(l) - 3*z(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*u - 120 = 0. Suppose -s - 3*c = 3 + 9, -c = 4. Suppose -3*d + d - 2 = j, s = -2*j - d + 5. Solve -8*o + u = -j*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/9)\/((-24)\/(-108)). Suppose -10 = 8*i + m. Let q = 0 + 1. What is the closest to 0.4 in i, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1518 or -1530?\nAnswer: -1530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -119.392 and -5.\nAnswer: 596.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 5. Suppose 5*z = 3*b + 17, 2*b - 2*z = -7*z - 3. Is s(b) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5249\/6 + -5251\/6. Let z = -2 - -2.1. Sort 1, o, z.\nAnswer: o, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrqrrrrqssrrrrrs. What is prob of picking 1 r and 1 s?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-1))\/2)\/(180\/(-5909760)*144).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 - i - 2. Let r be f(3). Suppose -5*p - 3*m = -21, -r*p = -5*m - 5 + 3. Solve d + 3 = 2*j, -2*j = -3*d - p*j - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 185 - 18805*d**3 - 5*d**2 + 8*d**2 + 18805*d**3 as c + f*d**2 + i*d**3 + z*d + a*d**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 44*m**2 + 3*m + 1. Let k(r) = 45*r**2 + 4*r + 1. Let t(j) = 4*b(j) - 3*k(j). Is t(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-4) + 4\/(-16). Let p be 413 - (0 - (2 + 0\/3)). Suppose 5*w - 5*f = p, c = -w - f - 0*f + 93. What is the greatest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*l + 5 - 50, -l = -r - 11. Suppose 3*d + l = 6*d. Let i(a) = 0*a**2 + a**2 - 2*a**2 + 3 + 4*a + 2. Determine i(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 44837, 44859, 44917, 45029, 45213, 45487?\n\"Answer: 3*m**3 + m + 44833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose 2*w + 230 = x*w. Suppose 0*v = -5*v + w. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 9*v + 24. What is the common denominator of 1\/3 and 3\/v + (-279)\/432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*b - 17 + 4, -3*x - 3*b - 18 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 + 23 = -4*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g*n**2*t + g*n**2 + 3*g*n*t - 752551*g*n - 5*g*t + 6740*n**2*t - 88*n**2 wrt n.\nAnswer: 6*g*t + 2*g + 13480*t - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * 116.\nAnswer: -3944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 14*q. Let n = 70 - 67. Let a(u) be the second derivative of 0*u**n + 0*u**2 + 1\/12*u**4 - 11*u + 0. Determine a(s(w)).\nAnswer: 196*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.7 and 2.2?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7422*z**3 - 9*z - 8. Let o(t) = -t**2 - 4*t - 2. Let p be o(-4). Let r be p\/(-3) + 26\/(-3). Let a be v(r). Round a to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 3.9. Let f = 60 - 83. Let k = f + 20. Which is the nearest to -0.1? (a) s (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 + 220*p**3 + 3048*p**2 - 14768*p + 15616 = 0. Calculate p.\nAnswer: -16, 2, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-5))\/(6\/20). Let u = -0.525 - -0.272. Let r = u + -0.147. Which is the closest to -0.4? (a) -0.3 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-7)\/(-10)*1. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 220197574437?\nAnswer: 220197574436.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 16*o**2 - 17*o + 20. Let y be m(15). Let j = 11 + y. Which is the nearest to 2\/3? (a) -0.2 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 6:15 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 634894472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (37\/((-2220)\/8604))\/(1\/(-5)). Solve 729*i - y*i - 108 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294641*k - 589276*k + 1357*k**2 + 294638*k - 8341*k**3 wrt k?\nAnswer: -50046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*o - 94. Calculate the remainder when o is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5083, 23 in ascending order.\nAnswer: -5083, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -37, -3 in descending order.\nAnswer: 6, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 5*r - 5*r**2 + 2*r**2 - r**2 - 24*r**2 + (r + r - 3*r)*(1 - 1 + 2*r) + 0*r**2 + 0*r**2 - r**2 to the form b + y*r**2 + p*r and give y.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 + 3*h + 23. Let c be l(-5). Suppose 40*m + 25254 = c*m. List the prime factors of m.\nAnswer: 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14\/3753735 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**7\/735 - k**6\/105 + k**5\/70 - 1538*k**2. Solve f(i) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let i(v) be the first derivative of 1\/24*v**6 + 1\/5*v**5 + 1\/8*v**2 + 3\/8*v**4 + 1\/3*v**3 - q + 0*v. Factor i(x).\nAnswer: x*(x + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(8) - (-3 + sqrt(2) + (sqrt(8)\/sqrt(4))**2) - sqrt(14)\/(sqrt(7) - (sqrt(7) + sqrt(847) + (sqrt(847) - sqrt(847)*-2) + sqrt(847))).\nAnswer: 56*sqrt(2)\/55 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x**4 - 1\/2*x**2 + 53\/6*x**6 + 0*x**5 + 0*x**3 - 20*x - 58. What is the second derivative of j(p) wrt p?\nAnswer: 1060*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z - 12*z**2 + 8 - 10 - 15 - z**3. Let p be q(-14). Solve -2*f + 4*k + 2 = 0, 5 = -f - 3*k + p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1557 = -3*h - 5*k - 1444, -k = 10*h - 32 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -o + 71. Solve 12*r = 8*r - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 9 = -5*n, 8*d - 9*d = -2*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 338 * -0.6.\nAnswer: -202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 4*y**3 - y**3)*(-23 + y**2 + 27 - 55*y + 3).\nAnswer: y**5 - 55*y**4 + 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 1176*u**5\/65 - 14*u**4\/13 + u**3\/39 - 115*u**2 + 1. Solve p(s) = 0 for s.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhha when four letters picked without replacement from huvuvavhhn?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 293 = 589. Let r be z\/(-12) - (100\/16 - 6). Is 12 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 9 = 3*v + 3*x, -2*v - 4*x - 6 = 0. Let q(n) = -7*n - 2. Determine q(v).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668968131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(12\/9 - 1). Let x be -15*((-4)\/b)\/(-2). Suppose 10*z + 2 = 5*z + m, 5*m = z + x. Solve -4*j + 5*j + 2 = z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**2 - 6*b**2 + 9*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102 + 536a7?\nAnswer: 535a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(64) + sqrt(64)*-1*2))\/(-2*(sqrt(16)\/(2*sqrt(8)) - sqrt(2)))*-1.\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38035, -38033, -38031?\nAnswer: -38029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 1.7. Let d = -3.38 + -0.12. Let w = d - -4. Which is the nearest to q? (a) 1 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a + 31 - 487 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**5\/20 - v**4\/6 - 115*v. Let l = -99 + 66. Let p(g) = -6*g**3 + 11*g**2. Calculate l*o(q) - 6*p(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3\/7, -2, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46772837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3786 = -b + 3789, 4*r - 5*b - 11 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/15, -0.2, -0.226, 1\/3?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.24? (a) 0 (b) -1\/2 (c) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*(sqrt(704) + 5 + sqrt(704)*-2))**2.\nAnswer: -2880*sqrt(11) + 26242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/11 + 376720*x\/11 + 17739744800\/11 = 0.\nAnswer: -94180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005689361 rounded to seven dps?\nAnswer: -0.0000569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - 0.2. Let w = -1.1 - d. Let v = -5.02 + 0.02. What is the nearest to w in -0.5, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2077899*u - 14545286. Give g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5 + 4. Suppose 138 = 3*r - m*g, -3*r - 2*r + 4*g = -234. Factor -20*v + 32*v**4 - r*v**3 + 58*v**2 + 2 + 8*v**2 - 30*v**3.\nAnswer: 2*(v - 1)**2*(4*v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559829693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/4, -2\/15, -15, 4\/9 in ascending order.\nAnswer: -15, -4, -2\/15, 4\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 + 42*n**2 - 4*n - 22. Let g(y) = -9*y**3 - 85*y**2 + 10*y + 44. Let o(j) = -5*d(j) - 2*g(j). List the prime factors of o(-20).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4041 - 4003. Solve -w*s + 8 = -42*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 109 + 25*h - 264 + 2*h**2 + 118. Let w be m(-14). Solve 2*f + w = 7*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 + 2*l - 33 + 37 + 6*l**2 - 14*l**2 to the form f*l**2 + d*l + z and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (5 - (-2 - -8)) - 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1129 + 1125 + 4*z**2 + z + z**2. Is v(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 3073*d**6\/120 - d**5\/4 - d**4\/2 - d**3\/6 + d**2 + d + 16. Find the third derivative of x(f) wrt f.\nAnswer: 18438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 398\/7 (b) 3\/7 (c) -0.2 (d) 2\/11 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5168 by 2826.\nAnswer: -2584\/1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 136, 267, 394, 517?\n\"Answer: -2*a**2 + 137*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 21238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 46 - 76 = 0. Let k be 22\/((q\/(-35))\/(-1)). Calculate the highest common divisor of 55 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Suppose 0 = -u + n*u. Let u*a - a**4 + 2*a - 2*a = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -0.2, -4.1, 0.04, 0, 32?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217984630 to the power of 1\/2, to the nearest integer?\nAnswer: 14764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-276)\/48 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4 - 3 - -4) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000048670454 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 132, -84 in decreasing order.\nAnswer: 132, 0, -8, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -15. Let n be (4*y)\/((-2)\/(-8)). Let x = n + -12. Solve l - x = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1497 and 2522944?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44384*t + 102485.\nAnswer: 44384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.165446 nanometers in centimeters?\nAnswer: 0.0000007165446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -533*i**2 + 57990 - 57990 - 1611*i**5 wrt i?\nAnswer: -96660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4230, 16910, 38034, 67596, 105590, 152010?\n\"Answer: -d**3 + 4228*d**2 + 3*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 10 = -2*r, 217*x = 220*x - r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*b*f**5 + 2*b*f**4 + 94*b*f**2 - b wrt f.\nAnswer: 4980*b*f**2 + 48*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*o + 13 - 1501. Let j be 296\/(-185)*-4*(-20)\/o. Factor 8*z**3 - 20\/3*z**4 + j*z**2 + 4\/3*z**5 - 32\/3*z + 0.\nAnswer: 4*z*(z - 2)**3*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (96\/40)\/((-14)\/10). Suppose 0 = -3*l + 4*x - 5, 2*l = -3*x - 9. Which is bigger: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 + -50)\/((27\/(-6))\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5414.582 millilitres?\nAnswer: 5.414582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7480 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4812206291.71182 - 4812127772. Let v = n - 78519. Let i = -0.71 + v. Round i to 4 decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12\/7 - 41\/28. Let a = -1.6 - 1.4. Sort o, a, 0.4 in decreasing order.\nAnswer: 0.4, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1230 (base 11) to base 3\nAnswer: 2012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 672*s**2 - 3 + 386*s**2 + s**3 + 516*s**2 - 1291*s**2 to r*s + l*s**3 + t + a*s**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jppj when four letters picked without replacement from jpppepjpjjeejeepjep?\nAnswer: 35\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 0*x**2 + 2 + x**2.\nAnswer: x**2 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(143) - sqrt(143)*2) + sqrt(143) - sqrt(143)))\/(sqrt(99)*-1) - (sqrt(78) + sqrt(78)*2*-6)\/((sqrt(36)*-2)\/sqrt(6)).\nAnswer: -13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 2*d - 13*d - 5 - 1.\nAnswer: -5*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -5 (c) 12.64 (d) 7 (e) -10 (f) -9 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -4)*(-25)\/2. Suppose -10*x + 6*x = -48. Let c = x - z. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 49 + -37 + 15 + -30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1 + sqrt(684)) + -5 + 0)**2 + -1)*-1.\nAnswer: -24624 - 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2*2)*(-204)\/(-1122)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1220 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1072*y. Let o(u) = 9175*u. What is f(o(x))?\nAnswer: -9835600*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002348069 rounded to 5 decimal places?\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, -2\/19, 8\/41?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(20)\/sqrt(4)*-5)**2*3 + (sqrt(140)*-2)\/sqrt(7).\nAnswer: -4*sqrt(5) + 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 + 6. Let s(p) = p**3 + 3*p**2 - 2*p - 2. Let k be s(5). Suppose -5*q - j = -5*b, 2*b + 2*b - q - k = 0. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -37*h**3 + h + 1. Let j be u(-1). Suppose -59 = -2*i - j. What is the remainder when 41 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/9204 and 93\/1300.\nAnswer: 230100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-4))\/(144\/(-384)). Let l(d) = 24*d + 101. What is l(m)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715925.0892 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -270\/13? (a) 1\/7 (b) -2\/35 (c) 0.3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429008 is divided by 142997.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 18*t - 2. Let s(m) = -m**2 + 73*m - 9. Calculate -9*d(u) + 2*s(u).\nAnswer: -2*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.489 + -170308625043.\nAnswer: -170308625042.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 8, n: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 1, j: 4, p: 3, x: 2}. What is prob of picking 1 u and 1 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 + 2*g + 0*g - 2*g + 4*g**2. Let b(q) be the third derivative of 5*q**4\/24 + 6*q**2. Determine b(n(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 13*a - 24. Calculate the lowest common multiple of a and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00204117 to five dps.\nAnswer: -0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 - -3?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43104 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/347699 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 23. Suppose 3*w - 14 = -c, w - 7*c = -2*c - 6. Suppose -3*f - 27 = -5*d, w*d = 8*d - 5*f - s. Solve o - 4 = -d*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6614421 years to centuries.\nAnswer: 0.006614421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -60*h**2 + 2*h - 12308. Let j(b) = b**2. Determine z(j(x)).\nAnswer: -60*x**4 + 2*x**2 - 12308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -811\/2485 - -6\/497. What is the common denominator of r and 39\/77?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f - 668 = -36*f. Let a = -152 - f. What are the prime factors of a?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 - 4*s + 1. Let m(g) = 5*g**2 - 5*g + 2. Determine 4*m(t) - 5*n(t).\nAnswer: -5*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s + 28*s = 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 4*k**2 - 5*k - 6. Let t be 2\/4*(-1 - -1). Suppose -5*o + 138 + 87 = 5*a, 3*o - a - 123 = t. Let z be o\/(-28)*20\/(-6). Determine j(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2255 = -4*l, 63*l + 9020 = 4*k + 61*l. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 8, c: 1, f: 1, v: 1}. Give prob of sequence ve.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 + 45. Which is the fourth smallest value? (a) 0.4 (b) -0.1 (c) -0.5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-33)*1\/7*(-6)\/236. Which is greater: u or -9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 59920 - 2086?\nAnswer: 57834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 5*c + 6. Suppose 3*m + 6 + 12 = 0. Let d be 3*(-3)\/m*-4. Let l be 5 - d\/(-3) - 8. Give u(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00743627 rounded to four dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n + 106. Let a be t(0). Suppose 9*f - a = -88. Solve f*g - 3*l = 11, -18 = -3*g - 3*l + 8*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -12. Let s = -9 + j. What is the second biggest value in -1\/3, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 709779 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a**4 + a)*(-2 - 1 + 1) - 1 + a**4 + 1 + 2*a**2 + 2*a**4 - 2*a**2 + (-30*a**3 + 62*a**3 + 22*a**3)*(2*a + 0 + 0).\nAnswer: 115*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 + 7?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -356, -0.4, -19.15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 33 + -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 567313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**4 - 40*k**3 + 10*k**2 + 160*k + 105 = 0. What is k?\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.029 + -22.029. Let h = 22.02 + d. Let u = -3\/10 + 7\/10. What is the closest to h in 1, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 k when three letters picked without replacement from ktttkttttttktttttttk.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/7 + 8*c**2\/7 - 6*c\/7 = 0. What is c?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (-5)\/((-30)\/42). Suppose -8*t + l = -16. Solve 8*n = t*n - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.39 * -23.4.\nAnswer: -196.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1.67, 5, 0.02?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and -2 - -11 - 3\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-3*sqrt(84))\/sqrt(7))**2 + -1) - (5 + ((-3*(sqrt(75) + sqrt(75)*-2) - sqrt(75)) + (sqrt(75) - (sqrt(75)*-1 + sqrt(75)))*-6)**2).\nAnswer: -1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 392, 5\/3, -0.2, -38?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 219*u + 63731. Let s be n(-291). Factor 1 + 2\/3*w**s + 1\/6*w**3 - 11\/6*w.\nAnswer: (w - 1)**2*(w + 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4057175mm in kilometers?\nAnswer: 0.0000004057175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*-2*1\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -62*r + 46. Calculate c(4).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b7392 - -37?\nAnswer: b7409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 3 - 2*w**2 - 3 to the form n*w**2 + t + m*w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 14. Suppose -543*i - 9637 + 11 = -395. Let m(z) = -2*z**2 - 41. Calculate i*p(j) + 6*m(j).\nAnswer: 5*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35\/6 - 31\/6. Let f(i) = i + 1. Let s(o) = 6*o + 9. Let a(d) = 5*f(d) - s(d). Let y be a(-9). Sort r, 4, y in increasing order.\nAnswer: r, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 5*j - 9. Let r be k(6). Let f be (r - -2)\/(1\/(-5)). Factor -2*n**3 + 6*n**f - 5*n**2 - 8*n**4 - 5*n**2 + 14*n**2.\nAnswer: 2*n**2*(n - 1)**2*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*t - 103*t + 1, 110 = 4*d + 2*t. Suppose -w - 2*i = -30, 4*w + 3*i - 101 = 9. Let k = d - w. Calculate the smallest common multiple of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(-9)\/(-48). What is the closest to -17\/3 in b, 5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 7*w**2\/3 - 5*w\/3 = 0.\nAnswer: 0, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 12939066 times 2\nAnswer: 25878132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92248158*k**3 - 142170495 wrt k.\nAnswer: -276744474*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-486)\/(-810)*4\/18.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16\/5 in -0.3, 94\/13, -4, 0.1, 178, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1817 by -79.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132561, 132546, 132523, 132492, 132453, 132406?\nAnswer: 132351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/2 + 25*w + 2. Let l(i) = i**2. Determine 2*l(v) - y(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k - 1. Let q(g) be the third derivative of 0*g**5 - 59*g**2 + 0 + 1\/12*g**4 + 0*g - 1\/2*g**3 - 1\/120*g**6. What is 4*l(d) - 2*q(d)?\nAnswer: 2*d**3 - 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*o + 12, 5*o = 3*f - 8*f + 20. Suppose -3*v + 4 - 13 = 0, 72 = 2*n - f*v. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 287*o - 506. Let h(p) = 36. Let y(q) = 3*a(q) + 24*h(q). What is the derivative of y(n) wrt n?\nAnswer: 861","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2. Let r(i) = -9*i**2 - 7*i - 30. Let q(k) = -r(k) - 11*u(k). What is q(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 107, 160?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 208 + 5*q + 107 - 14*q + 6*q - 17*q. Does 63 divide l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 46. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1280 in ascending order.\nAnswer: -1280, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 449481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*r = 97, b - 7155 = -2*r - 7194 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n - 2. Let h(y) = -54*y - 14. Let b(t) = h(t) - 11*v(t). Suppose -4*w + 7*w = 15. Suppose 0 = 6*q - w*q. Give b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(14\/(-4) + 3). Suppose 0 = -s - b + 4*b - 7, -s - 2*b + 8 = r. Suppose 0 = -5*y + s*y - 3. Put -3, y, 2 in increasing order.\nAnswer: -3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20104501 is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, -1\/24, 3, -325?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:37 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p - 2. Suppose 5*x - 153 = -2*h, 0 = 2*x - x + 2*h - 37. Let y = x - 31. Determine b(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104336476 is divided by 198.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5 = 3*k - 5*y, 5*k - 3*y = 7. Solve k*j = 1 + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1089491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64 + 1*(0 + -2). Suppose 191 = 3*i + h, -5*h + 138 = 5*i - 187. Are k and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5*y + 1196 = 1040, 0 = -4*d - 3*y + 111 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.122 + -0.311. Let i = 0.601 - c. What is i rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:12 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 2, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x - 3. Let u be o(4). Suppose u*t - 3*t = 40. What is the derivative of s**2 - t + 31 - 4*s**2 wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16385779 = f - 10014221. Suppose 0*g = 3*g + f. What is g rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142178037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100 - -1) + 141 + -277 + 92.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.8 (b) 1 (c) 0.23 (d) -10 (e) -0.05 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-21*((-36)\/(-28))\/9)\/(237\/2)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.073 times -0.041?\nAnswer: -0.002993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 11*c**2 - 2*c**3 + 5*c**2 - 8*c**2 + 2 to the form g*c + a*c**2 + y + u*c**3 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -347*i**3*o**2*x + 7*i**3*x**2 + 155*i**2*o**2*x**2 - 6*i**2*o**2 - 17*i*o*x**2 wrt i.\nAnswer: -2082*o**2*x + 42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 677*k**2 + 1. Let i(c) = -132*c**2 - 142*c**2 - 130*c**2 - 134*c**2 + 540*c**2. Give x(i(l)).\nAnswer: 2708*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 105, 90, 75?\n\"Answer: -15*n + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 975\/70 + 163\/2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001 (base 5) to base 15.\nAnswer: -11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -9*h**4\/5 + 666822*h**3\/5 + 444551*h**2\/5 + 74092*h\/5 = 0.\nAnswer: -1\/3, 0, 74092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**4\/12 + 5*i**3\/6 + i**2\/2 - 3*i - 1. Let x(q) be the first derivative of u(q). Let j = -10 + 6. What is x(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t - 20. Calculate the highest common factor of t and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.7, 108 in descending order.\nAnswer: 108, 1, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnbzo. What is prob of picking 1 o and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 396 + -370 + (9 - -1) + -11.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*f - 166, 5*s = 8*f - 3*f - 290. Let w = f + -60. What is the units digit of (-1)\/((-628)\/(-316) - w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 57*i + 54.\nAnswer: 3*(i + 1)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 1. Let b(o) = -2*o**2 - 4*o + 4. Let t(u) = b(u) - 4*n(u). Let p(d) = 39*d. Let z(r) = -38*r. Let g(f) = -3*p(f) - 2*z(f). Determine t(g(q)).\nAnswer: -3362*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 - -2213?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1895.109 decades to millennia.\nAnswer: 18.95109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 350. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-230)\/(-8) - 578\/51*(-123)\/(-82)?\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3202, -12800, -28798, -51196, -79994?\n\"Answer: -3200*g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 1. Let m be s(3). Suppose a = m*a + 10. Does 11 divide (-108)\/a + 3\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -235*n - 3100. Calculate z(-10).\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2 + 4)*(-o + o + 2*o) - 9 + 5*o + 9)*(-3*o + 9*o + 7*o)*(2 + 3 - 3) to the form h*o**2 + z + g*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, i: 4}. What is prob of picking 2 i and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6775 is divided by 153.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.52 + -6.3. Let g = 0.08 + u. What is the fourth biggest value in -0.5, g, -0.1, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**5*f + 120025*d**4*f**2 - 5*d*f**2 - 2091*d*f wrt d.\nAnswer: 20*d**3*f + 1440300*d**2*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8718 is divided by 113.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111100011100 (base 2) to base 9.\nAnswer: -43014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21226767.2 - 34237.\nAnswer: -21261004.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*l**3*r*t + 25442*l**3*t**2 - 2*l**2*t**2 + 3*l**2 + r*t**2 + 31*r*t + 308*r wrt l?\nAnswer: 72*r*t + 152652*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 8:00 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - z - 25. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1225, -2425, -3619, -4807, -5989, -7165, -8335?\n\"Answer: 3*h**2 - 1209*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 - 3 = 0. Let i be (-1)\/(x + (-10)\/(-15)). Determine u so that -115*u**3 - 5 - 80*u**4 - 15*u**3 - 165*u**2 + 330*u**i + 50*u = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 116*l + 1032. Give t(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101\/13 + 199\/39. Which is the closest to j? (a) 2\/17 (b) -0.004 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -2*u**5\/15 - 2*u**4\/3 - 2*u**3\/3 + 4*u**2\/3 + 8*u\/3 + 1. Solve g(h) = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1417509, 5670022, 12757543, 22680072, 35437609, 51030154, 69457707?\n\"Answer: 1417504*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t - 3*t. Is t\/26 - 1285\/(-13) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -4511, -27 in descending order.\nAnswer: 1, -1, -27, -4511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 + -23. Suppose 0*o = -o + u. Let z(h) = o*h - 3*h - 2*h - 2*h. Calculate z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113521 (base 8) in base 14?\nAnswer: -1018d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + ((-966)\/42 - -60)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 + 1 - 21273*s + 21273*s - 1.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 3*y**2 - y + 2. Let j be d(-4). Let w = 14 + j. Suppose -w*o + 33 = 3*b, 2 - 7 = b. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 108\/(-14)*(-280)\/30?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1993556 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4\/3 + 8795*r**3\/3 - 35120*r**2\/3 + 11700*r.\nAnswer: -5*r*(r - 1755)*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-4) - 0 - 70*(-15)\/(-105).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 5) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 0.096.\nAnswer: -0.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*f = -94*f - 288. What is the smallest common multiple of 455 and f?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -22857*z + 3. Let k be x(-21). What is k rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 + 2*t**2 + 6*t - 1. Let h(q) = -q**3 - q**2 + q - 1. Let d = 5 - 4. Let w(y) = d*r(y) - 3*h(y). Calculate w(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756833 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*r - 156*r + 2 - r**2 - 2.\nAnswer: -r**2 - 284*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.484 - 8.473. Which is the third smallest value? (a) 4 (b) w (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116255 is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 599, 900, 1203?\nAnswer: 1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**3\/5 - 573*a**2\/5 - 3882*a\/5 - 3312\/5 = 0. Calculate a.\nAnswer: -184, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 16*k = 4. Solve 3*r - r - 5*a - 21 = 0, -3*r + 21 = -k*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 1)\/(4\/(-8)). Suppose 22 = b*l - 0. Suppose 90 = 27*g + 10 - 1. Calculate the remainder when l is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/c)**(14\/9)*c**18\/(c**(-37)\/c))**(-11) assuming c is positive.\nAnswer: c**(-5236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/2165 + -49779\/17320. Suppose 5*u + 20 = 0, -3*x - 5*u - 4 = -14. Find the common denominator of g and (-1)\/((-22)\/x) + -3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8) + 132\/8. Suppose -i*c + 40 = -14*c. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*m - 11*m + 6072. Let f(y) = 130 + m - 262 + 11*y**2. Let k(o) = 6*o. Determine f(k(a)).\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afzot. Give prob of picking 1 o and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ognqgncqcpgp. Give prob of sequence qqpg.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/6*(-6)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r - 211. Let m be a(30). Let s(f) = -f**3 + 3 + 0*f**2 - 4 + 3*f**3 + f**2. What is s(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2977*j - 49200*j - 5837*j + 6524*j.\nAnswer: -51490*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - -10.88. Let z = g + -11.9. Let w = -0.1 + z. Which is the second smallest value? (a) w (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60940845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2. Let f(h) = h**2 + h + 1. Let t(z) = z**2 + 8*z + 2. Let w(n) = n. Let q(c) = -t(c) + 6*w(c). Let k(b) = -2*f(b) - q(b). Calculate s(k(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 - 7.2. Let d = 876\/5 + -175. Let w = 0.8 - -0.2. What is the nearest to d in u, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 681543391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 166 + 34 = 0. Suppose -120 + k = -5*n. Solve 0*b + 2*b - 6 = -5*c, 2*c = -n*b + 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/41 + (-35811)\/(-7093).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239470 is divided by 79808?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 258 or 257?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 46603.3?\nAnswer: 46603.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 1892*f + 3792.\nAnswer: -2*(f - 2)*(f + 948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from iiwiwiiiwwiiiwiiiwi?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - (-10 - (2 - 7)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0743, -0.1, 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6205*i**2 - 14105*i**2 - 4865*i**2 + 1678*i**2 as o*i + l + k*i**2 and give k.\nAnswer: -23497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 + 2*z - 2. Let v = 7 + -6. Let p be d(v). Let -5\/2*o**5 - 4*o**4 + o**2 - 1\/2*o**3 + 0 + p*o = 0. Calculate o.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 20 = 6*u. Suppose -6*a + u*a + 13 = 0. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + (0 + 4 - (-35 + 36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1230.6044 to the nearest 10.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqsqnsnnnsnsqss. Give prob of sequence sh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 1. Let k be v(-1). Suppose -4*r + 7 - 3 = k. What is the units digit of 13 - (-1 + r)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 2*b**2 + 3*b**2 + (0*b - 3*b + 5*b)*(2*b + 0*b - 4*b) + 0*b**2 - 2*b**2 + 0*b**2)*(-32*b - 11*b + 4*b).\nAnswer: 156*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 6*v + 10. Let q be t(7). Suppose h = q, 2*h = -0*x - 3*x + 150. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12296 - (-1 + 2 + 3). What is b rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 306119 or 22652777\/74?\nAnswer: 22652777\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*o - k, 0*o - 5*k - 140 = -5*o. Let x = 1037 - 718. What is the highest common factor of x and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12013084?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -3. Let r = k - -12. Sort 2, r, -3 in increasing order.\nAnswer: -3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -481*z + 489*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -6434?\nAnswer: -6445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 5 - 10) + (-3 - (1 + 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 3*t + 0*t + (-3 - 2 + 3)*(2*t + 2*t - 3*t) - 2*t - 2 + 2)*(-5 - 6*t + 3*t + 6).\nAnswer: 18*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 - 1002388*u + 2004768 = 0. What is u?\nAnswer: 2, 501192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16721099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s**2 + 3. Let v(c) = -4*c**2. Give v(z(m)).\nAnswer: -324*m**4 + 216*m**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (43 - 40)*3*(-19)\/(-3). Suppose -58*z + 1127 = -a*z. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -277\/83 or -4?\nAnswer: -277\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*h. Suppose h = -4*p + 7 + 5. Suppose -74 = -p*l + 88. Calculate the remainder when l is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -m**4\/4 - 7*m**3\/3 - 5*m**2 + 136. Factor n(j).\nAnswer: -j*(j + 2)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(24\/6) + (-8)\/2. Suppose r*z = 15*z - 88. Suppose 0 = -z*b + 26 + 6. Solve 0 = a - b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -363.26455 and 1.15.\nAnswer: -362.11455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16779 + -7285. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/85413 and -28\/28471.\nAnswer: 85413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:50 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1485088 and -45\/9856.\nAnswer: 41582464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 13 = -2*y - y, -4*y = b + 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128780*q - 128829*q = -637 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/3 (b) 0 (c) -1.1 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -935 divided by -187?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-24)\/i*i**(16\/7)\/i*i assuming i is positive.\nAnswer: i**(-159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 0.25, -0.5, -7, -2\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 137\/(-1096)*(-432)\/42\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/58)\/((-6)\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12 + 9)\/(2 - (-698)\/(-346)). Does 31 divide (2 - 24\/4) + (l - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -78*s**4 + 25305*s**3 + 169143*s**2 + 218235*s + 74475 = 0.\nAnswer: -5, -1, -15\/26, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.74 + -743612694.4687?\nAnswer: -743612693.7287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1668 and 451472.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**4 + 510*p**3 - 12465*p**2 - 28600*p + 40560 = 0.\nAnswer: -3, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.173 * -2957.\nAnswer: -511.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -163, -616, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17586, 17604, 17632, 17676, 17742, 17836, 17964?\n\"Answer: i**3 - i**2 + 14*i + 17572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25706377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*c + 8. Let g(d) = -d**2 - 1. Let r(f) = -f**2 + 2*f + 2. Let m(i) = -2*g(i) - r(i). List the prime factors of m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 45 = -6*p. Suppose -460 = x + p*x. Which is smaller: -47 or x?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 3*d**2 + 4*d - 1. Let k be x(-4). Suppose 4*b - 4*l = -0*b + 8, 4 = -4*l. Suppose 2*c - 5 + b = -j, j = c - 8. Sort c, 5, k.\nAnswer: k, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-10) - (-1)\/5. Suppose -32 = -n*z + 18. Let x = -11 + z. Let m(q) = 2*q**3 + q**2. Determine m(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.007 + -0.073. Put 3, i, -1\/4 in descending order.\nAnswer: 3, i, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 12:29 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 4*b**3 + 16*b**3.\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28713?\nAnswer: 3, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 + 5. Let d be t(0). Suppose 0 = -d*c - 5, 35001 = -n + 2*n - c. Round n to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8763.6329 - -8763. What is f rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12483\/2 + -6127. Let b = 117 - i. Let l = -0.3 + 0.35. Sort 2, l, b in ascending order.\nAnswer: l, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**4 - 14*u**4 + 6*u**4)*(3*u - u - u + 9).\nAnswer: -14*u**5 - 126*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) -0.0357\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 divided by 1960?\nAnswer: 269\/490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/12 + 5*t**3\/6 - 7*t**2\/2 + 4*t - 2101. Determine s(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059519 rounded to three decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129345122 is divided by 415.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1195065 * 0.071\nAnswer: -84849.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26 - (1*-7 - (5 - 9)). Calculate the remainder when 218\/3161 - (-3913)\/p is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*d + 8*l - 7, 0 = 3*d + 3*l. What is the remainder when d*(-2)\/(-4) - (-470)\/4 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 2*l + l)*(-194*l**2 - 109*l**2 + 231*l**2) in the form k*l**3 + m*l**2 + b + n*l and give k.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*d - 11*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/9))**(-14\/5) assuming a is positive.\nAnswer: a**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and -8555?\nAnswer: 213875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3272 + 3340. Calculate the remainder when 806 is divided by p.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -929358, -1858197, -2787036, -3715875, -4644714, -5573553?\n\"Answer: -928839*l - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32544 and 1272.\nAnswer: 1724832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-1\/5))\/r**0*(r*r**(2\/3)\/r*r)**(-3\/10))**(-2\/29))**(2\/17) assuming r is positive.\nAnswer: r**(-6\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 5*v - 2*v)*(41 + 340*v + 43 - 88).\nAnswer: 1360*v**2 - 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -3067016?\nAnswer: 3067017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**3 + 18*j**2 + 9*j - 30 = 0?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 19. Let f(h) = 2*h**2 + 4*h - 5. Let o be (-2)\/(-6) + 13\/(-3). What is the remainder when f(o) is divided by x(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 25*p**2 - 10*p - 20. Let l(m) = m**3 - 26*m**2 + 11*m + 20. Suppose 33 = 8*y - 7. Let s(r) = y*l(r) + 6*n(r). Factor s(v).\nAnswer: 5*(v - 1)*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 + 4*q**2 + q**2)*(2*q - 3*q - q)*(23 - 14 + 131).\nAnswer: -3360*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*y + 75*y = -60 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001325835 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 13104 + 13086 - 7*v to f*v + i and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 + 34 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2707673 litres to millilitres.\nAnswer: 270.7673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-126))\/(17 + 48637\/(-2890)) + (-6)\/27?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5163503 (base 8) to base 6\nAnswer: -45210123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 5*q**3\/3 - 1470*q**2 - 4797. Factor j(s).\nAnswer: 5*s*(s - 588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 27 = 5*m + 5, 8 = -u + 2*m. Let q = -36 + 48. What is the remainder when 22 is divided by ((-7)\/3)\/(u\/q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 106. Solve p = -q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 4*x - 4*x + 8*x - 2*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**4 - 193584*v**3 - 3125606088*v**2 - 87403176000*v - 611556750000 = 0.\nAnswer: -32250, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 5 (c) 0.1 (d) -4 (e) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 + 0.105. What is l rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 57. Let x(s) = 28. Let g(f) = 3*n(f) - 7*x(f). Let h be g(9). Factor 2\/5*m**h + 12\/5*m + 18\/5.\nAnswer: 2*(m + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 27*h - 225 = 64*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/(74\/(-44) - 936\/(-5148))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8*3)\/2 + -2. Let z be (-1)\/3 + 32\/6. Suppose -3*k + 202 = 2*v, -z*k + 0*v = -v - 354. Calculate the greatest common factor of k and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3070376 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*17472\/(-896).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 417 + -345. Solve 48 = 4*x + p for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2982 and 204?\nAnswer: 101388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -103, -181, -295, -457, -679, -973, -1351?\nAnswer: -1825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m + 7. Determine i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -255354, -255353, -255352, -255351, -255350, -255349?\n\"Answer: r - 255355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**8\/5880 - o**7\/1470 - o**6\/1260 + o**3\/6 - o. Let p(f) be the second derivative of z(f). Find q such that p(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 312843.24 milliseconds?\nAnswer: 0.0869009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5987 = -87*i - 429 + 65 for i.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 23*i**5\/6 - 97*i**3\/6 - 78*i**2. Find the first derivative of s(w) wrt w.\nAnswer: 460*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, p: 1, c: 2, d: 2}. What is prob of sequence kppd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 403260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -853 + 857. Solve q = -5*w + 9*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/16 + (-4)\/8)\/(-1). What is the closest to 1 in 0.5, k, -1\/60?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.268 - 0.968. Let u = 0.3 + 0.7. What is the biggest value in h, u, -2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/9? (a) -2\/9 (b) -4094 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35292?\nAnswer: 2, 3, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -52*b**4\/3 + 9*b**2\/2 + 10*b - 8. What is the first derivative of u(q) wrt q?\nAnswer: -416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 794*s - 88416\/7.\nAnswer: -2*(s + 16)*(s + 2763)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 127a + -4?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 639801187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -14*g - 85 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.419 - -0.219. Let d = 3 + -1. What is the biggest value in j, d, 1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 15*y**3 - 20*y**2 + 60*y.\nAnswer: 5*y*(y - 3)*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 2*l - 4. Let n be a(3). Sort n, 0, -3.\nAnswer: -3, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 0*j - 11*j**3 + 5*j**2 - 14 - 7*j**3 - 3*j**3 + 22*j. Let l = 24 - 35. Let x be b(l). Round x to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.344 nanograms in tonnes?\nAnswer: 0.000000000000397344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/295640 - 916649\/48780600. What is the common denominator of -77\/750 and g?\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 6*w**2 + 5*w - 26. Let o be a(6). Suppose 3*p - 2*m + 14 = o*p, -p - 4*m + 16 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2629 - -2652. Solve -f - 2*s - 1 = 0, -f = -5*s + 3 - x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**2 + p + 2. Let t be v(3). Let w = -28 - t. Find the third derivative of -7*y**3 - 69*y + 69*y - w*y**2 wrt y.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 13) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 15.4. Let y = -2.7 + n. Let p = y - -2.1. What is the third biggest value in p, 0.1, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -2. Suppose p + f - 30 = 0, -3*p = -f - b*f - 106. Calculate the remainder when p is divided by (-2)\/1 + (-130)\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6481324 times -0.8\nAnswer: 5185059.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7272 - -8139. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 6*v**2 - v - 2. Let m be y(-6). Suppose m*d = -8, -2*c + 84 = -3*d - d. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 652*r - 9931. What is v(-15)?\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhphwqhwqhqchvhvhv. What is prob of sequence wwvv?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 14*k + 2*k)*(4*k**2 - 4*k**2 + 2*k**3) - 39525*k**4 + 4*k**3 + 39531*k**4 - k**3.\nAnswer: 32*k**4 + 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -22451.\nAnswer: -8980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24440 - -586561\/24. Let b(d) be the third derivative of 1\/3*d**3 - a*d**4 - 1\/120*d**6 - 36*d**2 + 0*d + 0 + 1\/15*d**5. Calculate b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6246692, 6246745, 6246834, 6246959, 6247120?\nAnswer: 6247317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.33*5.\nAnswer: -36.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w**3 + w**4)*(0*w + 2 - w + 7).\nAnswer: -w**5 + 9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -475781?\nAnswer: 13\/475781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -34344, -68407, -102470?\n\"Answer: -34063*t - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -10, 1 in increasing order.\nAnswer: -29, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566741182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijoq when four letters picked without replacement from {n: 4, j: 9, o: 1, q: 2, i: 4}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 9*n - 19*n - 5*j + 3*j - 98, 111*j - 113*j = 8 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50706?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.855 + 0.195. Let r = -6 + z. Which is the nearest to 2? (a) r (b) 5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10, 11, 12, 13?\n\"Answer: k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64725, 61602, 58479, 55356, 52233?\nAnswer: 49110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 3*z - 3*z)*(-5 + 3 + 1) - z**3 - z**4 + z**3 + 6*z**4 - 2*z**4 - 2*z**4 - 368*z**4 + 1757*z - 1757*z.\nAnswer: -365*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4033 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 39, 78, 131, 198, 279?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595069 is divided by 1331.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 11*l**2 + 11*l - 8. Let g be j(-12). Let v be g\/14 + (-6)\/21. Solve -c = -v*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:25 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32066851 rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2774278, -2774285, -2774292, -2774299, -2774306, -2774313?\n\"Answer: -7*d - 2774271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3094?\nAnswer: 2, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 1. Let s = -4 + r. Let w(u) = 16*u - 93. Let i be w(6). What is the closest to -1 in i, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 0)*(399\/11508*-375 - -13).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 10. Let q be b(-10). Suppose 2*z - z - 1 = q. Suppose -2*s = -0 + 4. Sort -1, z, s in increasing order.\nAnswer: s, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 - 236. Let m = v + 98.2. Which is the third smallest value? (a) 5 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8887334 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 818 - 802 = 3*g - 4*g - 5*r, -4 = 2*g + 32*r - 29*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864 (base 10) in base 3?\nAnswer: 10221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2619, -2528, -2385, -2184, -1919, -1584?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/21 + (-6 - -3)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/3))**(-19\/3)*c**(-6)\/c**(-1\/2) assuming c is positive.\nAnswer: c**(-137\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(4 - 16\/6). Suppose 118 = -w*k + 1614. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46640 and 110679635.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1792833 or 1792834?\nAnswer: 1792834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/5)\/(j\/(j*j*(j\/(j*j*j\/(j**(1\/34)*j*j))*j)\/j*j*j*j*j)))\/(j*j*j\/((j\/j**5)\/j))**11 assuming j is positive.\nAnswer: j**(-14343\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55206?\nAnswer: 2, 3, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30841269?\nAnswer: 3, 10280423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 9:43 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001110100111100110101110 - -10?\nAnswer: -1010001110100111100110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -515*t + 518*t - 3513 = -3*m, m - 1159 = 2*t. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 30, 47, 72?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(245) + -2*sqrt(245)))\/(sqrt(48)\/sqrt(3) + ((sqrt(4) - sqrt(12)\/sqrt(3)) + sqrt(4))*5) + 0.\nAnswer: -sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61398.73 decades in centuries?\nAnswer: 6139.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + z + 12, 0 = 5*l - 0*z - 5*z - 30. Suppose l*j + 248 = 242. Put -5, 1, 0, j in descending order.\nAnswer: 1, 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -48.6, -6, 2, -1\/5, -4.46?\nAnswer: -48.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/4 + 4*f**3\/3 - 5*f**2\/2 + 7*f + 153. Determine b(5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from nnvnhwnyvnvnnwynwn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8008 - 8004. Solve -2*k + 0*f + i = f, -f = 4*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + 3 - (32 - (-20 + -5 + 54))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 286*y + 8112.\nAnswer: 2*(y + 39)*(y + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h - 11*h - 6*h)*(-2 - 2 + 3 + (-7 - 4 + 3)*(-3 + 2 - 1)).\nAnswer: -435*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-29\/4)\/(w\/(w**(-6)*w*w)))\/((w*((w\/(w**(-2)*w))\/w)\/w*w)\/(w\/((((w**5\/w)\/w)\/w*w)\/w))) assuming w is positive.\nAnswer: w**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 54 = 1197*s - 1193*s, 2*p - 18 = -s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17160 and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*10)\/(12 + 23361\/(-1947)). What is h rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14663 - 264049\/18. Let o = 1379770 - 144871352\/105. Let a = o - 305\/7. Find the common denominator of h and a.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*p**3 + 3*p**3 + 15*p**3 + (4*p**3 + 2*p**3 - 5*p**3)*(2 - 10 - 7).\nAnswer: 58*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (2 + -3)) + -13 - (4062 - 4063).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a minute in seconds?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94944.\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w + 4. Let k be g(2). What is the least common multiple of 22 and k\/(-16)*-4 + 6?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8815 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -112161000 to the nearest one hundred thousand.\nAnswer: -112200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -13. Which is the second biggest value? (a) -0.01 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10564.62 and 0.18.\nAnswer: 10564.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -9, 9\/7, -3\/2, -6, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbgk when four letters picked without replacement from {g: 3, b: 1, k: 4, q: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/10476 and -163\/68094?\nAnswer: 136188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/35)\/((-4)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8590 is divided by 141.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*m - 5 = 0, s + 4*s + 5*m - 5 = 0. Suppose -30 = 9*l - 39. Calculate the smallest common multiple of s and 4 + (2 - (2 + l)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o - 60. Let b = -27 - o. Let c(q) = q**3 + 8*q**2 + 6*q - 4. Let v be c(b). Calculate the highest common factor of 21 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6365 - -9289. What is the highest common divisor of 136 and v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54928 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50\/3 - -16. Let g = 0.2 - -8.8. Let j = 8.7 - g. What is the second smallest value in s, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence een when three letters picked without replacement from neennnneeeee.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 9 - 13 - -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 - 0 - (5 + 7). Let g(y) be the second derivative of y**4\/6 + 8*y**3\/3 + y**2\/2 - 871*y. What is g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -4*m - 47*m**2 - 31 - 50*m**2 + 99*m**2. Let l(i) = -i + 1. What is -2*b(t) - 9*l(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -319*d**2*i**2 - 1613*d - 598002*i**2 wrt d?\nAnswer: -638*d*i**2 - 1613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + 8 - (5 - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8646792 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1)*z*z**(-3)\/z)**23)**(-9\/8) assuming z is positive.\nAnswer: z**(621\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j**3 + 113*j - 12. Let c(u) = 33*u**3 - 338*u + 34. What is 6*c(q) + 17*p(q)?\nAnswer: 11*q**3 - 107*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/7 - 146*s**2\/7 - 542*s\/7 + 690\/7 = 0. Calculate s.\nAnswer: -69, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13\/22, 0.4, -1\/21, -3\/2, -4 in descending order.\nAnswer: 13\/22, 0.4, -1\/21, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29847373 and 11290?\nAnswer: 298473730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 3*t + 2 = -5*v, 0 = v - 3*t - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 3230124.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 16) to base 6.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 26. Let m be (-3 - ((-432)\/(-15))\/(-3))*-5. Let v = 16 + m. Let u be g(v). What is the highest common divisor of u and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77341, -80894, -84447, -88000, -91553, -95106?\n\"Answer: -3553*m - 73788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8033 - 3.15.\nAnswer: -4.9533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 9*k - 11. Let m be q(-10). Let h be 0*(2\/m)\/4. Let g = 50 + h. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/506900 and 54\/77075?\nAnswer: 1562772700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121936 - 121939. Let z = 1\/7 + -9\/14. Which is the fourth smallest value? (a) s (b) -5 (c) z (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -616 + 676. What is the remainder when 179 is divided by u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217148.9828637 + 0.0171363. Let p = o - 217277.027. Let t = 128 + p. Round t to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000199036407 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, v: 5, z: 3, r: 2, b: 5}. Give prob of picking 2 r.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*h + 9 = -3, o = 3*h + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 1\/6, 2\/7, 4, -114?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 112. Suppose g*u - 471 = 177. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 874 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 33\/5 of a kilogram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*d + 65*d = 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/7 (b) -5.3 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 4*b)*(-1 - 6*b + 4 - 6).\nAnswer: -24*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52760 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21007, 21372, 21981, 22834, 23931?\n\"Answer: 122*s**2 - s + 20886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**2\/2 + 1. Let i(g) = 171*g. Let o(u) = -1708*u. Let b(y) = -49*i(y) - 5*o(y). Give x(b(a)).\nAnswer: -161*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 3. Let r be v(2). Let h = -1 - r. Suppose h = g - 4 - 4. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (177\/15)\/1 + 1\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8600 and -2331.\nAnswer: 6269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.5 plus -295.76?\nAnswer: -200.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4 = 3*z, 2*z + 11 = -0*x - 5*x. Suppose -z = -g - 2. Suppose 0 = 4*d + k - 34, 4*k + 32 = g*d - 0*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o*o*o**(-4))\/o)\/o*o))\/(o\/o**(-1\/3)*o)*(o\/(((o*o*o**(2\/3)\/o*o)\/o*o)\/o))**(4\/13) assuming o is positive.\nAnswer: o**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -3 - (2 - 2). Suppose -r*s + 15 = -0*s. Solve -d - 1 = 2*d + u, 4*d = s*u + 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-4)\/48*-6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2 + 6*a + 7. Let u be o(-1). Suppose u = k - 2. Solve 3*i + k = -4*d, 1 = 5*i - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3 in -0.4, -0.2, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i = -55. Suppose -7*f - 3 + 31 = 0. Suppose -9 = 3*p - f*p. Solve 3*o = d - 0*d + i, -3*d - p = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.6261 - -0.3739. Which is the closest to p? (a) -1 (b) 5 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 4. Let f be o(-4). Suppose -2*d + 9 = f*b - 13, -3*b + d + 19 = 0. What is the lowest common multiple of b and (32 + -16)\/(21 - 20)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092007897 rounded to three dps?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 701*w + 3 = 700*w + 2*k, -2*w - 3*w - 10*k - 35 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 2. Let m = -3 - 0. Let t be (-130)\/200 + (-2)\/(-5). Which is the closest to i? (a) t (b) -1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 10.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000884 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 368 + 72 = 0. Suppose o = -0*p + 5*p. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) + (-168)\/(-1274). Which is the third smallest value? (a) 0.4 (b) 2\/11 (c) r (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - 7*n**4 + 2*n**4)*(3*n + 4*n - 5*n - 3*n + 2*n + 0*n + (n + 5*n - 5*n)*(5 + 5 - 1)).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 + (-3 - -1))) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 4*u. Let w(j) = -40003*j - 1. Let t(r) = 20001*r + 1. Let d(i) = -5*t(i) - 2*w(i). Let l be d(u). Round l to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, a: 3}. What is prob of picking 2 a?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose -3*n = -3 - p. Let t = 6 - n. Solve -3 = -3*w - 3*f, -4*w - t*f = -9*w - 35 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1)*(5\/(-12425))\/(-1). Let s = l + 42269\/29820. What is the common denominator of 109\/10 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2073 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - m**2 + 2)*(-23*m - 38 + 38)*(-m - 6*m + 3*m).\nAnswer: -92*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 6*w**2 + 9*w + 5. What is v(-6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5717754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.396, -1, -9?\nAnswer: -0.396","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52731 + 52784.7116. Let f = -0.0884 - z. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 9*v. Let f(z) be the third derivative of z**2 + 1\/3*z**3 + 0*z + v + 1\/24*z**4. Differentiate f(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 0, -4*a + 4 = u + 168. Let r be 1 - a - (5 + -3). Let n be 0 - 0 - (-4 - 1). What is the highest common factor of r and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 249 - 7*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4 = -2*s, 5*s + 2*v + 0*v + 14 = 0. Suppose -2*k + 0 = -j + 13, 5*k = -4*j. Sort s, j, 3.\nAnswer: s, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {r: 3, j: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 8, -11, -0.1, -792 in increasing order.\nAnswer: -792, -11, -0.1, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 2*l - 8, -8 = -3*h + l. Suppose 15 = h*z - 0*z. Solve 13 + 2 = z*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4869483 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 1479?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479325 divided by -249.\nAnswer: -1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 1. Let z(v) = 2*v + 2. Let k(j) = -j + 1. Let i be k(8). Let x(n) = i*a(n) + 3*z(n). What is the first derivative of x(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148, 299, 450?\n\"Answer: 151*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by (2 - (-160)\/(-85)) + (-83)\/(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20159230 to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5868, 5857, 5832, 5787, 5716?\nAnswer: 5613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 - 1. Let x be 3\/(-6) + (-2)\/4. Let f be c(x). What is the second biggest value in 0.4, -0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -0.4, -1, 0.05, 0.058?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220696 and 84.\nAnswer: 662088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 118.\nAnswer: 17\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6091.9283826815 - -5.\nAnswer: 6096.9283826815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*i**3 - 94*i**3 + 173*i**2 - 173*i**2 - 69*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -290.585 rounded to zero decimal places?\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4538*p**5 + 127*p**4 - 490*p**2 - 757*p + 6 wrt p.\nAnswer: -272280*p**2 + 3048*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, o: 1, p: 2, t: 2}. What is prob of picking 1 t and 1 s?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 2\/13 (c) 0.2 (d) -4046\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 2420 - 7172 = 0. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3454*p**4 + 71136*p - 71136*p + (4 - p - 4)*(-2*p**3 + 2*p**3 - p**3) + (2*p**3 + 3*p - 3*p)*(-2 - p + 2).\nAnswer: 3453*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0 + -2)\/6)\/((-84)\/18). What is the second biggest value in -0.1, -0.2, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 199?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**7\/210 - h**6\/40 + h**5\/30 + 15*h**2\/2 + 9*h. Let r(t) be the first derivative of l(t). Factor r(m).\nAnswer: m**2*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 11:10 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 4\/5, 1\/4, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 100 = 5*a - 7*a, -5*k + 5*a = -575. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -158, -163, -170, -179?\n\"Answer: -c**2 - 2*c - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a. Let q(y) = -y**3 - 2*y**2 + 2*y. Let g be q(-3). Let o be (5 - g)*2 + -2. Let m be i(o). Sort 5, m, 0.1.\nAnswer: 0.1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 37 + 29. Calculate the remainder when 36 is divided by y + (4\/(-8) - 5\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -3*t**5\/20 - 4*t**2. Let p(v) be the third derivative of v**5\/30 + 678*v**2. Determine p(o(j)).\nAnswer: 162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*((-15)\/9 - -1). Suppose 6 = 3*z, 22 = r*s + 3*z + 6. Find the second derivative of -x**2 - 6*x + s*x + 0*x**2 wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13202131 (base 4) to base 8.\nAnswer: 74235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446\/16 + 2\/16 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 21480*t - 1169300.\nAnswer: -4*(t + 55)*(t + 5315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212 + -168. What is the remainder when 172 is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 11*w**2 + 15*w + 19. Let l be y(9). Let i = -542 + l. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142223031 (base 5) to base 11.\nAnswer: -467748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8066*c*m*u + 30*c*m - 14*c*u - 185*c + u + 11 with respect to m.\nAnswer: -8066*c*u + 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77388 is divided by 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 927478?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -1.92, 2805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40082937 is divided by 9166?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2 (c) -10 (d) -4 (e) 1.1 (f) 2\/3 (g) -403\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156)\/3432*(-154)\/(-28)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 43 = s + 62, -5*n + 3*s - 27 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8*q - 13*q - 10 = 0, 4*s - 8314 + 8294 = -q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w - 2. Calculate t(13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -846, -50744, -133908, -250338?\nAnswer: -400034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111011000000011 (base 2) to base 13.\nAnswer: -22887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2 + 29*r + 15. What is g(7)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/39 and -39\/479611.\nAnswer: 18704829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/195 + (14\/10 - 1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77125.56l?\nAnswer: 77125560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*q = 0. Suppose 0 = -5*r + 5*u - 55, q = -3*r - 3*u - 3. Let j be ((-8)\/(-5))\/(r\/(-15)). Sort j, -4, 5 in ascending order.\nAnswer: -4, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 9) to base 10\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 9245*n - 287557. Give w(-31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 820 - 277)*(-2 - 2 + 1)*(-1 + 6 - 1)*(-p**4 + 3*p**4 + 6*p**5 - 5*p**5).\nAnswer: -5532*p**5 - 11064*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Suppose c*k = -6*f + 5*f + 25, 2*k - 5*f - 7 = 0. Let y = 3 - k. Let q(g) = g. Give q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.969656 millennia in months?\nAnswer: 119635.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-120) - (-3)\/(-12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -213*g - 18. Let p(w) = -16*w**2 + 6. Give p(l(v)).\nAnswer: -725904*v**2 - 122688*v - 5178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3611, -14025, -31241, -55259, -86079, -123701?\n\"Answer: -3401*k**2 - 211*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 455911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -74*a - 205. Determine u(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 l, and 2 a when four letters picked without replacement from cammccmlmlckacc.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/11040 and 155\/32016.\nAnswer: 320160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by 95.\nAnswer: 29\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 2*a + 3*a + (-2 + a + 2)*(1 - 5 + 3) + 4*a + 302 - 302 + 0 + 0 - 4*a to the form n*a + l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208151090*r**3 + 177*r**2 - 260586?\nAnswer: -1248906540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6549 + 15025. What is the remainder when l is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - -0.075223.\nAnswer: 0.975223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -9*z**5\/4 - 237*z**4\/4 + 4365*z**3\/4 + 40857*z**2\/4 - 140679*z + 88935 = 0?\nAnswer: -35, -14, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1495 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-7425)\/(-264)))\/(4\/(-5)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1371*k + 1. Let a(c) = 2732*c - 2. Let h(f) = 3*a(f) + 5*t(f). Let n(i) = -2*i**2. Calculate n(h(v)).\nAnswer: -3596562*v**2 + 5364*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995159 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 + -72. Let h(r) = -r**3 + 5*r**2 + 5*r - 4. Let x be h(4). Suppose l - c = x. What is the remainder when l is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 37. Determine y(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + l - 7 - 0, 0 = c - l - 11. Let r = 9 - c. Suppose -3 = -3*t, -2*o - r*t + 42 = -77. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 6:58 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -8*k. Suppose -2*q + 7*q - 15 = k. Suppose 0 = 3*a - 15, -q*a + 4 = -2*h - 1. Put h, -1, 0 in ascending order.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let t = b - 1. Let a = 33760 - 135039\/4. What is the second smallest value in -0.1, -1\/7, t, a?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -104, -81, -32?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/128 and 83\/24016.\nAnswer: 192128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 40. Suppose 14*w = 15*w - 4. Calculate the greatest common divisor of w and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*v - 103, 2*v = -4*i + 118 + 52. Let w be (-25)\/20 - 211\/4. Let m be (-606)\/w + 4\/(-18). Calculate the greatest common factor of i and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 12112249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:21 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 21.4362688?\nAnswer: 25.4362688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/10*((-60)\/25)\/(68\/952).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**6\/780 + 3*y**5\/130 + 9*y**4\/52 + 9*y**3\/13 + 2*y**2 - 3. Let l(n) be the second derivative of k(n). Factor l(u).\nAnswer: 2*(u + 3)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/4 - ((-2926)\/(-154) - (7 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47916 and 1980.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13513, 31260, 49007?\nAnswer: 66754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-60))\/((5\/(-6))\/5)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2078081 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 61734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 42*j + 33 = 0. Let f = 181\/3 - 60. What is the nearest to j in -7.8, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 138?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**3\/3 + 2*s. Let t(y) = -7*y**2 - y**2 + 2*y**2. Calculate l(t(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(1 - (-2 - -2)). Suppose -18 = -w*x - 10. Differentiate 2 + 5 - 3*u**4 - x wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + -2 + sqrt(275) + sqrt(275))**2 + (-3 + sqrt(33)\/sqrt(3) - sqrt(11)).\nAnswer: -60*sqrt(11) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 289 + 104*j - 6*j**3 + 296 - 104*j in the form i*j + y + x*j**2 + l*j**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*g - 9*g - 11*g - 55 + 0*g**2 + 29*g - 380*g**2 wrt g.\nAnswer: -760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g + 88 = 70*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45970 - 32589. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 3 - 13*t - t**2 - t**2. Let s be p(-12). Is s at least as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dieig. What is prob of sequence gd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118594 divided by 43.\nAnswer: -2758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -47, -46, -29, 10, 77, 178?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 2403?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhoqpps. What is prob of sequence phso?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -7*y**3\/2 - 1217*y**2\/4 + 7899*y\/4 - 279\/2 = 0?\nAnswer: -93, 1\/14, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129137 and 4735613.\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1 + 5 + -1 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -292*d + 235. Is k(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -142303, -0.3.\nAnswer: -142303, -0.3, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*b + 9 = -3, 2*n + 6 = b. Suppose -5*o = -0*o. Let i(j) = -j**2 + 3. Let h be i(o). Sort 1, h, n in decreasing order.\nAnswer: h, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 > 150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/2670 and 9\/700.\nAnswer: 186900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -107*p + 532. Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l - 1. Let g(y) = -5*y**2 + 24*y + 261. Let i be g(10). Sort -8, i, 3, l in ascending order.\nAnswer: -8, l, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 u when two letters picked without replacement from umuzem.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 118567.\nAnswer: 1897072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 + 5*x**2 - 4*x + 5. Let o(p) = 33 - 61 - 3*p + 32 + 4*p**2 - 3*p**3. What is -5*o(b) + 4*y(b)?\nAnswer: 3*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(15\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/10 - 5\/2. Let j be (4\/w)\/((-4)\/22). Suppose -v - j = -0*z - z, -8 = 2*z + 4*v. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3789006*i**3 - 3*i**2 + 96626*i - 3?\nAnswer: -22734036*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 - 761 = -8*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11509703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7309942 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*o = 2*g - 36*o + 16, 0 = -2*o - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4317257 is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 94*d + 2209.\nAnswer: (d - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**7\/21 + 71*u**6\/60 - 159*u**5\/20 + 131*u**4\/6 - 58*u**3\/3 - 24*u**2 - 32*u + 6. Determine p so that q(p) = 0.\nAnswer: -1\/4, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 77c?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 14*n + 54. What are the prime factors of r(22)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228.773 - 0.227. Let p = z + 233. What is the closest to -3 in 1\/16, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26914729?\nAnswer: 127, 211927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -25065?\nAnswer: 25064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 16 + 40. Suppose -2 = 5*j + 3*n - c, n = -3. Suppose -38 = -j*h + 40. Calculate the greatest common factor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 122 + -977\/8. Which is the nearest to -2? (a) w (b) 1\/4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696614338 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62769 and 1362984?\nAnswer: 9540888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37086892 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**7\/84 + 3*w**4\/8 + 4*w**3\/3 + 14*w**2. Let l(c) be the first derivative of y(c). What is the derivative of l(g) wrt g?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80680 rounded to the nearest one thousand?\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98224, -192610, -286996, -381382, -475768?\nAnswer: -570154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -205?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 40712*c**2 - 81412*c + 40704.\nAnswer: -4*(c - 10176)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-4))\/((-6)\/8). Let z(c) = -c**3 - 6*c**2 - 5*c - 1. Let d be z(o). Let i = -11 - d. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, p: 3, n: 5}. What is prob of picking 2 p?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 12?\nAnswer: 67\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13868 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 230 - 230 + 13*m**2 + (-2 - 2*m + 2)*(3*m - m + 0*m) + 0*m + m + 2*m**2 + 0*m.\nAnswer: 11*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -12409\/44560?\nAnswer: -12409\/44560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481851633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + -155. Let i(m) = 69*m**2 + 2*m + 4*m - 9*m + z*m. Let c(v) = -2*v**2. Determine i(c(r)).\nAnswer: 276*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 20*b**2 - 129*b - 1931. Calculate c(-21).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3570, -28574, -96466, -228690, -446690, -771910?\n\"Answer: -3574*g**3 + 14*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) -0.5 (b) -1 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-126)\/(-24)*(756\/(-196))\/(-9). Determine m, given that 7\/4*m**4 + 15\/4*m - 7\/2*m**3 - 1\/4*m**5 - w + 1\/2*m**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -0*z + t - 7, -z = 2*t - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 14*g**2 - g + 21. Let w be ((-24)\/(-5) - 10\/(-8 + 13))*5. Calculate z(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l*l*l**(-10\/11)*l*l)*l)\/l*l*l*l*l)\/(l\/(l\/((l**18\/l*l)\/l))*l) assuming l is positive.\nAnswer: l**(-155\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3573.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/126 and 137\/17094.\nAnswer: 51282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 20, 92, 224, 434?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 45 = -4*l - 17, -5*l = -3*v - 59. Suppose -4*q = -4*t - 20, 3*t - l = -2*q - 2*t. Which is greater: q or 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-30)\/(-4))\/(-3)). Let q = -177\/7 + 25. Which is the closest to q? (a) m (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 12*g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -12\/5*b - 7 - 1\/5*b**3 - 6\/5*b**2. Factor u(l).\nAnswer: -3*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.4 + 5. Let o = 3.5924 - b. Round o to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -462, -1027, -1808, -2799, -3994, -5387?\nAnswer: -6972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-14)*12\/10. Suppose -n + 28 = f*n. Suppose 0 = n*o + 8 - 281. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -15*l - 269. Let a be d(-29). Is a greater than or equal to 166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 19 - 2618*f + 5095*f + 2998*f to w*f + j and give w.\nAnswer: 5475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 4, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 372343901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 - -202. Suppose o - 2*z - 218 = b, -3*z = -2*o - 0*o + 439. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(1 + 1))\/1. Let z(n) = n + 5. Let w be z(-6). Let k be 3 + -2 - (-5 + -4 + w). Calculate the greatest common divisor of s and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = q + 7, -2*q = -0*q - 4*d - 26. Suppose 0 = -q*p + 5*m - 6*m + 11, 3*p = 4*m + 2. Let o be 4\/(-20) - (-1)\/5. Solve p*b - 4 = -o*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) -11\/17 (c) -0.2 (d) -12 (e) -0.4 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3660 (base 14) to base 13.\nAnswer: -4422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7429 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 4783 - 4783.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1466366.97082237 + -121216356.97081537. Let g = 119749923 + u. Let a = g + 67. Round a to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**3 + 3*i**2 + 2*i - 4. What is the remainder when 2 + 16\/(-6) + 6864\/36 is divided by d(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2060210 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-4)\/10)\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-23)\/q**22 assuming q is positive.\nAnswer: q**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 31*d - 21*d**2 + 22*d - 53*d. Let y(s) = -3*s**2. What is y(b(z))?\nAnswer: -1323*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-18)*48\/28. Let o(r) = r**2 - 8*r - 6. Let t be o(-1). Let y = t - v. What is the second biggest value in 2, 1, y, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*y - 24 = y, 2*y + 105 = 5*a. Let h(r) = -18*r + 10 - 4*r**2 - 16*r - 5 + 6*r**2. List the prime factors of h(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, h: 5}. What is prob of picking 3 n?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/9))\/(p\/(p*p\/(p**(-6)\/p*p)*p)*p) assuming p is positive.\nAnswer: p**(73\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6245*h + 70939. Give t(-11).\nAnswer: 2244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.5 (b) -14.9 (c) 0.2 (d) 9 (e) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -14\/11, -4, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 51 = 3*k + 44, -5*k + 3*r + 18 = 0. Which is the closest to 0? (a) -0.3 (b) k (c) -5 (d) 2.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 3, -355202 in decreasing order.\nAnswer: 3, -41, -355202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a**2 - 2247969*a - 749322 = 0 for a.\nAnswer: -249774, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a4d18 - 11?\nAnswer: 5a4d07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 392 and 37464?\nAnswer: 262248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u**3 - 4*u**2 + 2. Let m(o) = -14*o**3 - 7*o**2 + 3. Let j(a) = 7*g(a) - 4*m(a). Find the first derivative of j(k) wrt k.\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5312300 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 7 = 2*j, 2 = -4*j + 22 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3690 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 0.1 (c) 2\/13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81195913 times 0.06?\nAnswer: -4871754.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8985, -35481, -79649, -141495, -221025, -318245, -433161, -565779?\nAnswer: -716105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20665 - 42015. Let n = b + 384395\/18. Find the common denominator of 125\/18 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 2. Let a be c(0). Calculate the remainder when (-873)\/(-15) - a\/(-10) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 0, -3, -124, 1, 2 in descending order.\nAnswer: 2, 1, 0, -3, -4, -6, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 6 = 64. Suppose 40 = 7*t - 5*t. Let x = j - t. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 628*m + 3169. Let f be x(-5). Factor 1\/2*y**f - y**3 + 1\/2*y**2 + 0*y + 0.\nAnswer: y**2*(y - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 2, 20, 54, 110, 194, 312, 470?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 7:39 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (8 - 4 - 4). Let b(o) = 2*o. Let s be b(h). Suppose -12 = -s*g + 4. Sort g, 2, -1 in decreasing order.\nAnswer: g, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/59 (b) -5 (c) 3 (d) 126 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004178564 to five decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 1, 0.5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 65*i - 34. Let k(p) = 88*p - 46. Let l(d) = -19*h(d) + 14*k(d). Suppose 0 = -3*s - 9. Calculate l(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569636.3 nanoseconds in milliseconds?\nAnswer: 0.5696363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*g + 2. Let a(q) = 736*q + 4. Let s(o) = -o. Let j(v) = g*a(v) - 2*s(v). Let i be j(-6). Round i to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1980.85 - -1989. Round y to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 11*g**2 - g + 18. Is z(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*o - o - 4*f - 5 - 7, -o - 4353 = 1451*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 3 + 4)*(-5 + 12 - 8) - 4 + 4 + 1 - 1 - 2 - 2)*((-6 + 6 + 7*g**2)*(1 + 0 - 2) - 3*g**2 - 7*g**2 + 5*g**2) in the form r + y*g + u*g**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75096\/298*24\/96?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/1419 - 360\/(-344)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 10:48 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1928332, -3855737, -5783140, -7710541, -9637940, -11565337?\nAnswer: -13492732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -8. Let r(s) = -s**2 + 8*s - 3. Let d be r(7). Let x be 4940\/45 + d\/18. What is the greatest common divisor of a and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*0.4.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 23*j + 50 = -28*j, 2*a - 25 = 3*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 7*y**2 + 4*y - 8. Let i(b) = 107*b + 1504. Let c be i(-14). Determine k(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424899 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -276125*n**5 + 1097450*n**4 - 247970*n**3 - 1663620*n**2 - 42345*n - 270 = 0. What is n?\nAnswer: -1, -3\/235, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 150, 319, 554, 855?\nAnswer: 1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s**2 - 4*s**2 + 0*s**2 + (2 + 3 - 3)*(s**2 - s**2 + s**2) + 27 - 27 - 49*s**2)*(40687 - 40687 - 123*s) to j*s + a + b*s**3 + q*s**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:07 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 j when four letters picked without replacement from oojlool?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 516.406 and -335.\nAnswer: -172996.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/(3\/((-27)\/12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, 1, 2, 5, -1 in decreasing order.\nAnswer: 90, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - h**2 - 9*h**4 + 6*h**4 - 1 + (-5 + 3 + 4)*(2*h**4 - h**4 - 2*h**4) + h**3 - h**3 - 3*h**4.\nAnswer: -8*h**4 - 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -40. Let l be 6\/(-9)*(-6 + 0). Sort 2, l, x.\nAnswer: x, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -477 + -77?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1725)\/(-3312) + (-3)\/9?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7019, -14037, -21055, -28073, -35091, -42109?\nAnswer: -49127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 165 = 3*m + 2*i, 2899*m - 11*i - 275 = 2894*m for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 611 + 421 + 17 = 5 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/765, -0.1, 0, -12, 0.06?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*g - 2*g - 3*g)*(0 + 2 - 3)*(-1 - 6 - 1) + 140*g - 19*g + 18*g as r*g + w and give r.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z + 34. Let h be p(2). Suppose -2*r = 2*u - 11276, -3*u = 61*r - h*r - 16920. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -789079 - -4.\nAnswer: -789075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(19) + sqrt(76)) + sqrt(19))**2 + 0.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 111*f - 6. Let w(a) = 11655*a - 629. Calculate -6*w(s) + 629*z(s).\nAnswer: -111*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 71. Let p(d) = 48*d - 16. Let l(j) = 2*j - 1. Let y(z) = -5*l(z) + p(z). Let k(b) = -7*b + 2. Let c(w) = -11*k(w) - 2*y(w). Calculate n(c(v)).\nAnswer: 4*v - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -751*p**5\/60 + 70*p**4\/3 + 205*p**2. What is the second derivative of u(c) wrt c?\nAnswer: -1502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1970*u = -1388*u - 268640 for u.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-572)*(32\/(-120))\/2.\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (13 + -11 + -16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-4)\/(-60))\/((-2)\/(-178)) and -28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 0 - (7 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 85, -64.564, -6\/7?\nAnswer: -64.564","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 816502009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 687, 698, 719, 756, 815, 902, 1023?\n\"Answer: b**3 - b**2 + 7*b + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858 divided by -1.\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -2*u, -3*n + 32 = -3*u + 2. Suppose 0 = -n*o - 3*o + 1248. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 76*o + 5914. What is the smallest common multiple of k(-76) and 1311?\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45115 - 45112. Factor -2 - 7\/6*z**2 - 1\/6*z**x - 8\/3*z.\nAnswer: -(z + 2)**2*(z + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 + 17 = 0. Sort h, 2, 1.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*p - 103*p - 516*p - 1131*p = 20988 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaakdkxkk. What is prob of picking 2 d and 1 x?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 825\/539*147\/105*1\/(-35)?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66518*w - 1495 = -66495*w for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 28\/7*-2. Let c(d) be the second derivative of 5\/12*d**5 + d + 0*d**2 - 5\/9*d**x + 0 + 2\/9*d**3. Factor c(s).\nAnswer: s*(5*s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 372 and 12400?\nAnswer: 37200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 545710, 1091437, 1637178, 2182933, 2728702, 3274485?\n\"Answer: 7*v**2 + 545706*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 23*d**7\/210 - d**4\/8 + 233*d**3\/3 + 578*d**2. What is the first derivative of x(m) wrt m?\nAnswer: 92*m**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 28. Suppose -i = -0*i - b. Calculate the greatest common divisor of i and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00143 rounded to 5 dps?\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1073 smaller than 3468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 2*h = -8, -7*j + 12*j + 23 = h for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 177.\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -104?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -44047 divided by -16105\nAnswer: 44047\/16105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610173 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: Let k(s) be the second derivative of 0 + 1\/6*s**3 - s - 2*s**2. Let g be k(10). Solve -7*i + g*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + a - 500 = 0, -g + 2*g - 2*a = 89. Suppose 3*l - g = -15. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11443*w**6 - 6397*w**2 wrt w?\nAnswer: 1373160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189720950 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 673, 0.5 in increasing order.\nAnswer: -4, 0.5, 4, 673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1)\/j*j*j*j**(-1\/2))**28 assuming j is positive.\nAnswer: j**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186\/7 - -27. Let j = -0.01 + 0.11. Which is the second biggest value? (a) p (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001804889189 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 138963093 a multiple of 597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10925042591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 252, 826, 1954, 3822, 6616, 10522?\n\"Answer: 31*t**3 - 2*t**2 - 5*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 97, 71, 13, -89, -247?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -304939\nAnswer: -91481.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 588\/66*264\/384 - (-1 - -7).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 702*f + 5087*f + 1022*f + 5753*f in the form t + n*f and give n.\nAnswer: 12564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1008)*5*-2)**2.\nAnswer: 1612800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + g**3 + g + 12*g**2 - 13*g**2 - 14 in the form d*g**2 + a*g + k + h*g**3 and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l - 101. Let z be d(11). Suppose -24*p - 7 = -17*p. Which is the nearest to -28? (a) z (b) 2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202435?\nAnswer: 5, 40487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let t(s) = s**2 - 5*s + 7. Let x be t(4). Suppose -5*a = -2*g - 14, 4*a + x*g - 5 = 5*a. Solve r = -5*q + a*d - 19, 2*q + 0*d = -2*d - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4 = 12. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) - (sqrt(84) - 2*sqrt(84)))*-6 - (sqrt(84) - 4*(sqrt(84)*1 + sqrt(84))))\/(-4*(-2*sqrt(72)\/sqrt(6) + sqrt(12))).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.084\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(180))\/(2*(sqrt(9) + sqrt(9)*3 + sqrt(9) + sqrt(9))) - (((5 + sqrt(125) + -2*sqrt(125) - sqrt(125) - sqrt(125)) + -1)**2 + -3).\nAnswer: -1138 + 362*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 171*z**2 + 379*z**3 - 2*z - 310*z**3 - 165*z**2 to v*z + b*z**3 + h + o*z**2 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 1 + 6 + 1 as r*h + i + d*h**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 7343*b - 6717807. Calculate g(1941).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 168878 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: Collect the terms in -r**2 + 6073*r - 12145*r + 6072*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 1)\/((-20)\/(-20)). Is b less than or equal to -1\/2332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69, 141, 211, 279?\n\"Answer: -a**2 + 75*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004865844 rounded to 5 dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12627555 and 10740?\nAnswer: 50510220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 4*b**2 - b - 1. Let g = 1 + 6. Suppose g*q - 20 = 2*q. Give a(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 6*q**2 + 5*q + 3. Suppose 0 = -3*p - c - 15, -5*p + 2*c - 3 = 22. Let o be n(p). Solve 0 = -0*i - o*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 176, 82\/5, 0.2?\nAnswer: 82\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -3*k**3\/4 + 495747*k**2\/4 - 5120167968*k + 5120044032 = 0?\nAnswer: 1, 82624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -195.9 + 195.95. Put -25\/2, t, 5, 2\/11 in descending order.\nAnswer: 5, 2\/11, t, -25\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 + 0 = 0. Suppose 3*c = -c. Let q(n) = c + n - 2*n**2 + 3 - 2. Determine q(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 10\/(-7) + (-18486)\/2142\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 40*s**2 - 69*s - 1145. Give z(-41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -17. Let s = 0 + 2. What is the third derivative of 2*k**6 - k**z + 0*k**2 + k**s wrt k?\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18261, 30787, 43331, 55899, 68497, 81131, 93807?\n\"Answer: y**3 + 3*y**2 + 12510*y + 5747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00115587166 rounded to 7 dps?\nAnswer: 0.0011559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 152\/36 - 2\/9. Suppose 0 = -l - 5*g + 14, -n*g = -l - 0*l + 23. Suppose 380 = -4*b + 9*b. What is the highest common factor of l and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1468\/(-36)*-1 + 14\/63. Solve -r = 4*v - 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37388960 divided by -8032?\nAnswer: -4655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -1\/10*o**5 + 2*o**2 - 28*o + 0 + 1\/15*o**6 + 1\/3*o**3 - 1\/2*o**4. Factor w(a).\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -54 or -211\/4?\nAnswer: -211\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -77*g - 2503. Determine i(-33).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 330.114?\nAnswer: 33.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 4*f + 11684, 4*p = 3*p + 2*f + 2927. Suppose -6*w + 785 = -p. Let j = -205 + w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(84) + sqrt(84))\/(5*sqrt(12)*4).\nAnswer: 3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -49. Calculate the highest common divisor of 176 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*w**2 - 4*w + 2*w - 2*w**4 - 6 in the form r*w + g*w**2 + q*w**3 + d + y*w**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1194 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.83? (a) -17 (b) -1 (c) 0 (d) 3 (e) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*d + 94. Let v = -44 - d. Suppose v*z - 424994 = -5*f, 0 = -f + 6*z - 4*z + 85004. Round f to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 6*h**2 + 2*h - 12. Calculate the lowest common multiple of p(-5) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*a = -155*a + 114*a - 4585 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110112021111111 (base 3) to base 7\nAnswer: 110411005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiiiiidiiiiiii. Give prob of sequence iiid.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/50)\/(-1))\/(249\/1245).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10200 or 11305?\nAnswer: 10200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*w + 4*w + 19*t = 22*t + 13, -5 = t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (105\/28)\/(-15) + (-6161)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35938? (a) 4 (b) -1 (c) 0.4 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/(-14))\/((-3)\/(-56)). What is the second derivative of -6*o - 2*o**2 - 28 + l wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*m = 21, a + 0*m + m + 7 = 0. Let n(b) = b - 3. Let y be n(4). Let p be (y\/(-2))\/((-3)\/a). Is p less than 2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.3687ml in litres?\nAnswer: 0.4283687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = p - 4*o, -p - 6 = 4*o + 32. Let x = -24 - p. What is the smallest common multiple of x and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -301634563 + -2?\nAnswer: -301634565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((23 - 30)\/(-126))\/(6\/3360). Find b such that 50\/9*b**5 + d*b + 280\/9*b**4 + 596\/9*b**2 + 66*b**3 + 16\/3 = 0.\nAnswer: -2, -6\/5, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -133, -225, -317?\n\"Answer: -92*m - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266224?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(208) + 0)*4*-5 + -1*(sqrt(208) + 0) + -5)**2)*6.\nAnswer: 5040*sqrt(13) + 550512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 146 - 494.2\nAnswer: -348.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + -12 + 0)*1. Let n(q) = 6*q**2 + q + 1. Let f be n(2). Let a = f + d. What is the remainder when a is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/19)*v**0)**(-40)*(v\/v**(-1\/6))\/(v**5\/v*v)*(v*v**5)\/((v**(1\/7)\/v)\/v) assuming v is positive.\nAnswer: v**(-149\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(405)*5 + sqrt(405))*6*3)**2 + -2)*2.\nAnswer: -7776*sqrt(5) + 9447844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/4)\/((-49)\/(-4065628)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*m - 297*m + 154*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(17) + sqrt(51)\/(sqrt(6)\/sqrt(2)) - (sqrt(272) + 3)).\nAnswer: -12*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46506720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.44 - -0.24. Which is smaller: j or 0.02?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90838 or 90837?\nAnswer: 90838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-15))\/(2\/1450885). Suppose -100354 = 5*p - o. What is p rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 + 776649835*d**2 + 3106599280*d + 3106599260 = 0.\nAnswer: -155329963, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 716 = -711. Suppose -w*v - 14 = -34. Solve m = -5*f - 28, 0 = -v*m - m + 4*f + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7732, 7696, 7662, 7630?\n\"Answer: f**2 - 39*f + 7770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2526 = 13*u - 10261. Is 53 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1060 (b) 0.4 (c) 3 (d) 196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eibeqge. What is prob of sequence bq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-512)*24)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -220 + 278 + -109 + (-1 - (0 + 2)) - 9.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7) + 3)**2 - ((sqrt(14)\/sqrt(2))**2 + 0).\nAnswer: 25 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from iixif?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 13}. Give prob of picking 3 r.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -453 - -461. What is the lowest common multiple of s and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - c**2 - c - 1. Let g be u(-1). Let q be (-2)\/(-12)*3*22. Let v = q + g. Solve -3*a - v = -2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y - f - 7 = 0, -2*f = -4. Suppose 2*r + 0*u - u = -44, r - u + 24 = 0. What is the tens digit of (r - y)*3\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*i - 483*i + 3*f - 45 = -967*i, -f = 14*i - 53 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009 - 118*n - 2013 + 492*n + 1004.\nAnswer: 374*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdbboam. Give prob of sequence mho.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**4 - 50*p**3 + 145*p**2 - 40*p - 240 = 0. Calculate p.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**3 - 25*k + 61*k**2 + 27*k - 87*k - 63*k - 58*k wrt k?\nAnswer: 18*k + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4324 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 17.93. Let h = -2.07 + l. Let w = -1 + h. Put 6, 1\/10, w in ascending order.\nAnswer: w, 1\/10, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 298 = 2*a + 5*o, -4*a + 552 = -3*o. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 202663 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2885*a**2 - 3 - 22*a + 960*a**2 + 962*a**2 + 961*a**2.\nAnswer: -2*a**2 - 22*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 202, 606, 1366, 2572, 4314, 6682, 9766?\n\"Answer: 15*f**3 + 88*f**2 + 35*f + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16525 by 5.\nAnswer: 3305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1575*z - 173239. Determine k(110).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -122222311113 (base 4) in base 10?\nAnswer: -6991191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -88.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8911 = -4*n + a, 2*n + 2*a + 0*a = 4448. Suppose -y + 5*y + 3*i - n = 0, -y + 553 = 2*i. Suppose -2*h = -415 - y. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54 + -2116?\nAnswer: -2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1453*b**2 + 26*b + 25. Does 33 divide j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 46. Let j(l) = r*l**2 + 17*l**2 - 5 + 7*l - 30*l**2. Suppose -13 - 12 = -5*i. Let q(d) = -3*d**2 + 6*d - 4. What is i*q(m) - 4*j(m)?\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138.99999867 - -139. What is u rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.081 - 123.899. What is q rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 17. Let q be s\/4 + (-69)\/(-12). Solve -l + q = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30122213123 (base 4) to base 13.\nAnswer: -89c5b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -46*((-4)\/8 + 1). Let r = -16 - i. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/78 and 16\/1546545.\nAnswer: 3093090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 30998 in increasing order.\nAnswer: -4, -3, 30998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2026 + -0.157. Let g = -0.0644 - l. Is -39 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2328038 litres?\nAnswer: 232.8038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 1 + 0*m**2 - 4*m**2 + (-3 - 2*m + 3)*(2*m + 2 - 2) - m**2 - m**2 + 0*m**2.\nAnswer: -9*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1334246726?\nAnswer: 2, 667123363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817900 to the power of 1\/2, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 3*h. Let p be z(-4). Let j be (p\/(-6))\/(2 - 6). What is the biggest value in j, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 2 - 12 - 7*i - 118*i.\nAnswer: -125*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4001*q**3 + 4948 wrt q?\nAnswer: -12003*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 6 + 2 + 4. Let t(k) = -k**3 - 5*k + 3. Suppose 0 = -4*s - 4, -7*r + 4 = -2*r + s. Let l(w) = r*t(w) + 6*q(w). Determine l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.04034 days in milliseconds?\nAnswer: 7779485376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/(-17)*11\/198*-6\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 12, -44, -152, -330, -596, -968, -1464?\nAnswer: -2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756619677.\nAnswer: 127, 293, 47207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*h - 65*h + 22*h)*(-3*h + 6*h - h).\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14515329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 499137?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 8. What is the closest to -0.1 in -1\/4, -3\/2, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3340941024?\nAnswer: 2, 3, 101, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 2*x**2 - 2*x - 2. Let l be t(-2). Let o(f) = 8*f + f**l - 1 + 3*f**2 - 2*f**2 - f**2. What is the units digit of o(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -2032279\nAnswer: -609683.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2356*((-55)\/(-20) - 1). Let h be b\/(-19) - (-3)\/(-1). Suppose 0 = -4*w + 3*k + h, -3*w = -w + 3*k - 98. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**2 - w - 2*w + 11*w**2 + 14*w**2 + 3*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 65.2. Which is the closest to -9? (a) 5 (b) 3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w**2 + 43*w - 17. Let a be x(-7). Let q = a + -510. Solve -5*p - 13 + q = s, 4*p - 2*s + 12 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236329\/18 - 13134. Find the common denominator of 11\/24 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 13) to base 15.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367 = -111*x - 878 - 642 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:00 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21253551 (base 7) in base 8?\nAnswer: 6722320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 280, 273, 268, 265, 264, 265?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614 times 5?\nAnswer: -8070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 + (-15144)\/(-84) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 7, 0.1, -2, -0.2 in decreasing order.\nAnswer: 21, 7, 0.1, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189 by 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, 0, 4, -4 in descending order.\nAnswer: 4, 0, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1319 - 1319 - 7*v - 5*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)*(-6)\/18. Let j(h) = v*h**2 + 13*h - 4 - h**2 - 9 + 3. Let i be j(10). Calculate the greatest common factor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.22 - -2.220000526. What is j rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 - -223. Suppose 18*v - 30 = u*v. Solve 0 = 4*n + s - 20, -n - s = s - v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, -2, -92, 3 in increasing order.\nAnswer: -92, -26, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6711 - -6711. Which is bigger: z or 0.163?\nAnswer: 0.163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 24*j - 13*j + 48*j.\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 - -23 - 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/8720 and -19\/1962.\nAnswer: 78480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/25 (b) -2\/7 (c) 1\/4 (d) 0.1 (e) 0.2 (f) 3 (g) 14\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 1467. Let g(s) = -2*s + 17 + 22 + 20 - 59. Calculate c(g(t)).\nAnswer: -8*t**2 - 1467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*(5 + 3*(sqrt(396) + -3) + sqrt(396) + (sqrt(396) - (-1*sqrt(396) + 1 - sqrt(396))) + -3)**2.\nAnswer: -6720*sqrt(11) + 194680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + (-444)\/48)*1952\/40?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 - -450. Let x be (-11581)\/b - (-2)\/27*-3. Sort x, 0, -5.\nAnswer: x, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.121 + 2.879. Which is the second smallest value? (a) 2 (b) 1\/4 (c) h (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 52, 1\/3, -1\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-147)\/98*8\/30*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/300*-5*(-10)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12027*k - 22054*k + 12355*k.\nAnswer: 2328*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.15 to zero decimal places.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12413138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 221 - 216 - (1 + 28)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*1 + -2)*-4 - (((sqrt(272) - (0 + sqrt(272)) - sqrt(272)) + sqrt(272) - sqrt(272)) + 2 + 5 + sqrt(272) + sqrt(272) + 1))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggpp when four letters picked without replacement from ppppppppgpppeg.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:00 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/21)\/((-25)\/(-15)))\/((-4)\/7).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14151222.\nAnswer: 2, 3, 786179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2432 + -2425. Solve 0 = 4*d + k - 6, -p = -5*k + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2278900 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -19. Let g be ((-8)\/10)\/(2\/m). Let d be (g\/3)\/(1\/(-66)). What is d rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*n**3 + 3 - n**2 - 3 + 53*n**3.\nAnswer: -18*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3979 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601157135 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 494.4888l to millilitres.\nAnswer: 494488.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (903\/(-6))\/7 + -1 and -38\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -375*y**5 - 150075*y**4 + 4046220*y**3 - 31854384*y**2 + 100357056*y - 111799440 = 0.\nAnswer: -426, 18\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270033?\nAnswer: 3, 90011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, e: 7}. What is prob of sequence qqee?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -479*f**3 + 108*f**2 - 2*f + 402629.\nAnswer: -1437*f**2 + 216*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -526*r - 36*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 1278 = -3*a - 1302, -5*a + 4*l = 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7532 and 6797.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + w + 152 = 3*w, 84 = u - 3*w. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4*-136.41012\nAnswer: -190.974168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - v = -2372, 6*p - 3*v = 9*p - 3561. Calculate the highest common divisor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*h = -3843, h - 8199 - 7241 = -4*j. What is the greatest common factor of j and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11\/6 + -5\/2. Which is smaller: 23\/5 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 11:25 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4 = -2*p + m, 0 = 3*p - m + 4. Let n = 0.107 - 0.007. Which is the nearest to p? (a) n (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 35 = -2*v, 5*v - 3*a = a - 45. Let k(d) = -d**2 + 3*d + 3. Let p(j) = -3*j**2 + 5*j + 5. Calculate v*k(c) + 3*p(c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/73 and (3\/(-10))\/((-174)\/5365)?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 548059 and 49.\nAnswer: 26854891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -4 + (-42)\/(-9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -4, -3 in decreasing order.\nAnswer: 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y = -57*y + 30. Solve 0 = 5*q - 4*k + 5, 8 + 17 = y*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1447678782.\nAnswer: 2, 3, 11, 29, 53, 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 2*o**2 + 3*o - 2. Let l be n(3). Let b be l\/1 + 552\/270. Is b != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = 2*n. Suppose n*u - u = 20. Calculate the remainder when u is divided by (-3 + 4)\/((-1)\/(-11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1072 - 5?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4264*h**2 + 16*h + 12. Let w be k(-6). Suppose 2*o = w - 34020. What is o rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69 - 69. Solve 2*x - 4 = -a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 4*p - 5. Let n be o(-5). Suppose n*m + q = 4*m - 17, 3*q = -m + 1. Solve 3*r = 0, -m*r = 4*d - 0*r - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 67 = -k, m + 4*k = -2*m - 74. Suppose 168 = -0*b + 4*b. Let x = b + m. Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1518\/(-506))\/((-90)\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-45))\/((-2)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 - 58 = 4*b + 3*i, 5*b = 13*i - 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-16))\/((-2)\/14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65900 or 65901?\nAnswer: 65900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*b + 32 - 198 = 0, 0 = -m + 4*b + 95. Let m*d - 3*d**2 - 3*d**3 - 79*d = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czorbbz. Give prob of picking 1 o, 1 b, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - (-3 + 0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 222\/(-37)*(-38)\/(-570)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p. Suppose v - 25 = -p*v. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.19 minus 0.1?\nAnswer: -2.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2544050, -5088150, -7632250, -10176350?\n\"Answer: -2544100*z + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8873\/6 (b) -0.4 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3398 - -7809. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b\/(b\/(b*(b\/(b*b**(2\/9)))\/b)))**(-12) assuming b is positive.\nAnswer: b**(-172\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a millimeter in micrometers?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1063893, 4255567, 9575031, 17022291, 26597353, 38300223, 52130907?\nAnswer: 68089411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*m + 24 = -0*o, 15 = -5*m. Let b(g) = -g**3 - g**2. Let x(v) = -4*v**3 - 5*v**2. What is o*b(a) + x(a)?\nAnswer: 2*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((322\/35)\/(-23))\/(114\/5)*-6?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2736447*n - 5473014*n + 2736536*n.\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + h = 186 + 110, 8*f + 2*h = -4*f + 7*f - 68 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) 0 (c) 0.2 (d) -1 (e) 1\/3 (f) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -106 + 223. Is 7 a factor of (m\/18)\/(2\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/20*(-5)\/(-2). Let q(m) = -m**3 - m**2 + m - 1. Let t(c) = 2*c**3 + 2*c**2 - 2*c + 4. Calculate u*t(n) + 4*q(n).\nAnswer: -2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30806 and 12369453.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/(-12))\/(21\/(-56)). Sort 1, 2\/3, d.\nAnswer: 2\/3, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 209, 393, 701, 1133, 1689, 2369?\n\"Answer: 62*t**2 - 2*t + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 23, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 14*c + 8. Let i be j(9). Let r = i + -24. Suppose 0*g + 525 = 5*g + 5*n, 5*n = r. What is the remainder when g is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (33 - 1) + (3 - 21)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5)\/p*p*p)\/p*(p\/(p\/((p*p**(-6)*p)\/p)))\/p*p)**(30\/13)\/((p\/p**(1\/4))**(4\/9))**(-31\/4) assuming p is positive.\nAnswer: p**(-1541\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 243054 (base 11) to base 10\nAnswer: 384718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/7140 and -211\/435540.\nAnswer: 435540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 25*g + 3. Give r(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-48)\/32)\/((-819)\/(-2070) - (-2)\/(-5))\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 98*x**4 - 5*x**3 - 2381*x + 65423900.\nAnswer: 392*x**3 - 15*x**2 - 2381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*k + 4*c - 3, -3*c = -3*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(200) + 5 + 3 + sqrt(200) + 0 + (6*(1 + sqrt(200)) + sqrt(200) + 1*(sqrt(200) + 0))*6)**2.\nAnswer: 49000*sqrt(2) + 502401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(-46)*t*t**5*t\/(t**1\/t))\/((t*t**(-2\/7))**(-4\/41)*t**(-1\/4)\/(t*t\/t**(-1\/3))) assuming t is positive.\nAnswer: t**(46287\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o. Let j(v) = -23 + 12 + 11 + 17*v. Determine n(j(x)).\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72453187 to the power of 1\/2, to the nearest integer?\nAnswer: 8512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -2220075\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 18*v**3 + v. Let h be z(1). Let p = h - 17. Find the third derivative of 3*a**p + a**3 - 2*a**2 - 3*a**3 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(5\/2)\/d*d*d**2*d\/d**(-2\/25)*d**(-1\/6)\/d assuming d is positive.\nAnswer: d**(331\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 4, n: 8}. Give prob of picking 2 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*3 - (-55)\/11. Suppose z = 49 + 22. Suppose -3*x = -9, p - 4 = -y*x + z. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18935972 to the power of 1\/2, to the nearest integer?\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 2*q**2 - 2*q + 5. Let v(z) = z**3 + z**2 - z + 2. Let b(j) = -4*h(j) + 11*v(j). Let g be b(2). Let c = -127\/4 + g. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124043*-7.\nAnswer: 868301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -493, -764, -1053?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 56896*p.\nAnswer: -p*(p + 56896)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12449, -11327, -9453, -6827?\nAnswer: -3449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227239699 or 227239697?\nAnswer: 227239697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73*l**2*o*z**2 + 846*l**2*o*z - 2*l*o*z + 3*o*z**2 wrt z.\nAnswer: 146*l**2*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -24, 4, 9, 86, -2 in descending order.\nAnswer: 86, 9, 4, 1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 871955 or 871825?\nAnswer: 871955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 21, -2 in increasing order.\nAnswer: -3, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_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: Let g = 157.98 + -160. Let w = g - -104.02. Let k = -102.0000049 + w. What is k rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -5*v - 239. Suppose -8*s - 14 = -p - 5*s, 3*p - 98 = -v*s. Solve 4*a + p = -5*r - 7, -15 = 3*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - 4*n**2 + 6*n + 7. Let r(u) = 4*u**3 + 2*u**2 - u. Let p(h) = h**3 + h**2. Let l(m) = -3*p(m) + r(m). Let w(f) = -j(f) - 3*l(f). Give w(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1622 (base 12) to base 8.\nAnswer: 5072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.49542 to 2 dps.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -399126696 divided by -263?\nAnswer: 1517592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 6 = -s, -5*c + 2*s = -0*s - 24 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -54. Let r be (-10)\/8*(-268)\/710. Let a = r - -2\/71. Put m, 0.3, a in decreasing order.\nAnswer: m, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b**3 - b**2 - 2*b + 2. What is f(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 5. Let m(z) = -2*z - 4. Suppose -q - 2 = -t + 2, -3*q = -5*t + 26. Let b be 2 + -6 + t - 1. Give b*m(w) + 3*v(w).\nAnswer: -w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20586\/(-154980) + 54\/378 and 38\/2583.\nAnswer: 25830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5 or 0.03?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2. Let z(a) = 57744*a**2 + 2*a + 2. What is z(u(w))?\nAnswer: 230976*w**4 + 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -367 + 3633\/10. Let i be 52\/14 - (-4)\/14. Find the common denominator of n and 4\/(-88)*7 + i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7615.3974 less than -0.4?\nAnswer: -7615.7974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + 12\/(-2) - (4 + -1). Let b(c) = -888*c + 0*c**t + 4*c**2 + 3 - c**3 + 884*c. Let r be b(2). Which is greater: 4 or r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32085)\/(-17112))\/(26\/(-8) + 1) + (-214)\/(-156)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 86*q - 1975. Determine f(19).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331322549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:49 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597846018.\nAnswer: 2, 3, 7, 11, 1294039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161\/46*(-3)\/(-21)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 657 - 657 + 2*n. Let h(z) = -26*z**2. Give h(b(y)).\nAnswer: -104*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 7*a + 24. Suppose -3*i = -0*i - a. Suppose i*z + 8 = 3*w - 0*w, -z - 1 = -w. Solve 2*q - 20 = w*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69902?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000319639 to six decimal places.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -67437?\nAnswer: 65\/67437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 49 + 121 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {v: 2, t: 1, x: 1, a: 7, g: 5}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6162*x**3 + 6055*x**3 - 12218*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -154?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9920, 19843, 29740, 39599, 49408, 59155?\n\"Answer: -2*f**3 - f**2 + 9940*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 + -91. Let w be 1\/(((-4)\/n)\/(-1)). What is the highest common factor of 135 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-22))**(20\/13)*y\/y**(-11)*y**(-28) assuming y is positive.\nAnswer: y**(-628\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 483440?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 38 + 20. Suppose 5*w - 6*j - 43 = -m*j, -4*j + 4 = w. What is the units digit of (-3)\/4 - (-294)\/w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/9 + 4*v**2\/3 - 16*v\/9 + 2\/3.\nAnswer: -2*(v - 1)**3*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.4 - -1.13. Let q = i + 2. Round q to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*j, -12042 - 11517 = -4*w - j. What is the thousands digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(1\/38)\/((p\/(p\/(p*p*p\/(p\/(p\/p**(-18\/13))))))\/(p\/p**40)) assuming p is positive.\nAnswer: p**(-10703\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29\/(-119) - ((-6)\/99 - (-3422)\/(-6699)). Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/5295 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-339*o - 347*o + 696*o)*(1 + 0 + 2)*(-3*o**2 + 4*o**2 - 3*o**2 + (-2 + 2 + o)*(o - 3 + 3)).\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -l. Suppose 0 = -3*q + 5*j + 6, 4*q + j - 8 = -2*j. Suppose 0*w + q*w = 0. Do l and w have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 53*c - 219. Let d(b) = -54*b + 273. Determine -4*d(p) - 5*f(p).\nAnswer: -49*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 71959, 143914, 215869?\n\"Answer: 71955*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.3, -3\/8, 11, -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 87, 131, 175?\n\"Answer: 44*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-30) - (-1)\/((-18)\/(-327)). What is the common denominator of (12\/m)\/(44\/(-93)) and 50\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673765253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3149, -6878, -11855, -18704, -28049, -40514, -56723?\nAnswer: -77300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-68 + 17 + 151)*(-3 - 3*u + 3) to s + n*u and give n.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 14\/(-2) - 2. What is the remainder when 59 is divided by (-3 - 2)*(-3)\/s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 79*k**2 - 297*k + 197. Calculate c(-75).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-13 - 4) + (16 - 12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlll when four letters picked without replacement from hppphlppphphlhpl.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 6*v**2 - 4*v - 9. Let u be f(-7). Let i be (0 - 1) + u\/(-3). Suppose -i = -4*b + 3. Solve -3*x - b = -2*s, -3*x + 0*s - s - 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2140 + -2140.2. Which is smaller: n or -877?\nAnswer: -877","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*k**2 - 31 - 14*k**2 - 7*k - 6*k - 10*k**2 - 8*k**2 to f*k + n*k**2 + j and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1314 (c) -1\/8 (d) -0.3 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(3645) + sqrt(3645) - sqrt(3645)) + sqrt(45).\nAnswer: -3 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 bigger than 305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -6, 4 in descending order.\nAnswer: 4, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*p + 4*a - 54 = -125*p, -18 = -p - 53*a + 3 + 7 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 3)*(4 + (-85)\/15). Suppose 0 = 4*i - d*k + 1, 9*i = 11*i - 4*k + 8. Let 4*b**4 + 0 - 1\/2*b - i*b**3 + 3*b**2 = 0. What is b?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + 1. Let m = 78 - 78. Suppose -t - 1 = -4*q, q - 3*t - 3 = -m*q. Suppose q = 5*j - 20 - 5. Calculate h(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 - 133 - 62)*(3*z**2 - 5*z**2 - 3*z**2)*(1 - 3 + 5) as y*z + a*z**2 + u and give a.\nAnswer: 2250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - 2*-1*sqrt(88))) + ((-2*sqrt(88) + sqrt(88))*-2 - sqrt(88)))\/(sqrt(32)\/sqrt(4)*5 + sqrt(128)*-2).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 245*l + 7234. Determine w(-63).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*l**3 + 76*l**3 + 8*l**3.\nAnswer: 70*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 f when three letters picked without replacement from fwfoffffffffffff.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72.2 + 144.3. Let n = 217 - j. What is the second biggest value in -4, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 - 1.1. Let d = t - -6. Put 0.5, d, -5 in descending order.\nAnswer: d, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*p + 3*o + 70, -5*p + 220 = 2*o. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 403140155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = 8. Let l be -3 + 10 + -10 + (-1 - 3). Sort 5, l, h.\nAnswer: l, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 + 51 - 36)*(4*n**2 + 2*n**2 - 4*n**2) as d*n**2 + r + x*n and give d.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.9 - 8. Let p = i + -0.6. Let u = 1.7 + p. Is u at least as big as 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 + 78*r**2 - 71*r - 187. Calculate y(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-2 - 3 - -1). Let s(z) = 15556*z**3 + 5*z - 3 - 5*z - j*z. Let w be s(-3). Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.462775l in millilitres?\nAnswer: 9462.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -54579322122521?\nAnswer: -54579322122522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6525 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -50, -312, -4 in descending order.\nAnswer: 3, -3, -4, -50, -312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 3*c**2 - 2*c. Let n be o(2). Let w be (3 - (4 + n)) + -1. Let f be 12 - 8 - (1 - w). Sort 5, 2, f.\nAnswer: f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 75, 155, 241, 333?\n\"Answer: 3*w**2 + 71*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6301208.\nAnswer: 2, 41, 19211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(28\/(-6))*(-2)\/6)\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 188 = -a, 0 = -5*a + k + k + 979. What are the prime factors of a?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnlnnnnncnncnnlnnlcn. What is prob of picking 2 l?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1dc420 (base 16) in base 9?\nAnswer: -3602832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + l + 3. Suppose -2153*u + 9 = -2158*u - 4*m, 0 = -4*u + m + 18. Let v(n) = -n**2 + n + 2. Calculate u*o(k) - 4*v(k).\nAnswer: -3*k**3 + k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55257 is divided by 727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 28 + (-7 - 13) + 29.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m + 72. Give a(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8613 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 917107947 to the nearest integer?\nAnswer: 30284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 192430345633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (15 + (-18 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4628 is divided by 707?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -33, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5614 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25510*i = 12850*i + 12916*i - 20736 for i.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**3 - 1300*i**2 + 9315*i - 8010 = 0.\nAnswer: -267, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*f - 33*f + 34*f)*(2 - 6 + 2)*(0*f**3 + 3*f**3 - 2*f**3)*(-45 + 45 + 6*f).\nAnswer: 252*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-18) + 4\/(-6). Suppose -5*c + 129 + 36 = g. Suppose 2*q - 157 + c = 0. Is 33 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11\/4)\/(w**17*w) assuming w is positive.\nAnswer: w**(-83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j + 79. What is i(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9 + 8)*1)\/(5\/(-4)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170263042?\nAnswer: 2, 13, 29, 137, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2327, -2338, -2357, -2384, -2419?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127.376 and -60.\nAnswer: -7642.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 - (-1 + -1). Let k = -3 + 13. Suppose -78 - k = -y*v. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5118845.\nAnswer: 5, 1023769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - x. Solve 2*u = -x*u + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110870339 to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84853 + 151841 + 120776 = 6*r. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308890, -617780, -926670?\nAnswer: -1235560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 4. Let u(l) = 9*l + 30. Let v(s) = -2*t(s) - u(s). What is v(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228269680 divided by 14266855\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -31545*c - 63115. Calculate i(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130236.\nAnswer: 2, 3, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j - 97. Determine c(-13).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(2\/13)))**36\/(r\/r**(-1)*r*(r**(-1\/8)\/r)\/r*r*r) assuming r is positive.\nAnswer: r**(277\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 69 - 73 = -40, 6*k = 6*q + 42 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 110 = 37*c - 42*c, -112 = 3*u + 5*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 436543.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 12251313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.97 (b) 38 (c) -1.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*f**5\/5 - 3015*f**4 + 146363*f**3 - 567861*f**2 + 749112*f - 1623076\/5 = 0. What is f?\nAnswer: 1, 14\/9, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -424 - -6661. What is the smallest common multiple of d and 27?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(3) + sqrt(27)\/(sqrt(54)\/sqrt(6)) + (4*(sqrt(243) + sqrt(3)))**2).\nAnswer: -28795 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.17 + 18.97. Let y = -18 + f. Sort y, 0.4, -4 in decreasing order.\nAnswer: 0.4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(2*(sqrt(20) + sqrt(5))))**2 + sqrt(15)\/(sqrt(5) + (sqrt(5)*1 - sqrt(5))*4) + 1.\nAnswer: 13\/12 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*r + 4*w + 2, 3*w = -15. Let x be ((-18)\/3)\/(3\/((-6)\/r)). Let d(v) = v**2 + v - 3. Give d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12) + 1708\/24. Let b = 0 - -3. Factor 9*g**b - m*g**2 + 9*g**3 + 71*g**2 - 3*g**4.\nAnswer: -3*g**3*(g - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 398094, 0, 4 in decreasing order.\nAnswer: 398094, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -5\/4, -38, -0.2?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8513097 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 1\/35*y**5 + 1\/210*y**6 + 0*y - 1\/42*y**4 - 4\/21*y**3 + 81*y**2 - 2\/735*y**7 + 0. Suppose a(b) = 0. Calculate b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877976264 to the power of 1\/2, to the nearest integer?\nAnswer: 62273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283870701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 25. Let n(i) = -13*i - 10 - 10*i + 10*i - 112 - 2*i. Let x be n(-8). Put j, 3, x in ascending order.\nAnswer: j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.448 - -2.448. Sort 4, 0.1, q, 2.\nAnswer: 0.1, q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 16*p + 9. Let i be k(-16). What is the nearest to 2\/7 in 3\/2, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + v - 413, 5*j - 3*v = -5*v + 2065. Suppose -2*n = 5*n - j. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 34 - 6 = 0. Suppose 44 = 4*z - 4*h, 0 = -3*z - 2*h - 181 + 234. What is the lowest common multiple of a and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 5*i**2 + 6*i - 5. Let x(s) = 2*s + 3. Suppose 2*a = -2*a + 12. Let o be x(a). Let w = 15 - o. Give r(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 7 + 0 - 10) + 5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 6. Let u = 7 + m. Solve 0 = -f - 4*d - 13, -4*f + u*d = 3*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c + -4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by 33887?\nAnswer: -104\/33887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**3 + 17*y**2 + 809*y - 6547. Determine v(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**3*t + 12*l**3 - 56781*l**2*t - l**2 - 2*l*t - 2757*l + 12883*t wrt l.\nAnswer: -6*l*t + 72*l - 113562*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 93364 divided by 4\nAnswer: 23341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 10. Let m(y) = 3*y**2 - 2*y - 1. Let q = 589 - 587. Let o(c) = 5*c**2 - 2*c - 1. Let j(d) = q*o(d) - 2*m(d). What is j(a(z))?\nAnswer: 4*z**4 - 80*z**2 + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*h + 4 = 0, -2*i = -0*i - 2*h - 4. Suppose 4*p - 2*p - 2 = i, 0 = -5*q + 3*p - 8. Let n = 4.03 - 0.03. Put q, -4, n in descending order.\nAnswer: n, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 0*u = -7*z + 32, -5*z + 598*u - 603*u = -40 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tchhthhhtqhtthhhttt?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + 4*h - 4. Let r(p) = p**2 + p - 1. Let v(w) = -f(w) + 4*r(w). Let m(j) = -22 - 19 + 13*j + 41. Give v(m(x)).\nAnswer: 169*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*h**2 - 19*h**2 - 6*h**2 in the form s*h + d*h**2 + w and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.2. Let k = -92.771 + 131.771. Is d less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.45 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 4*b + 11*b - 4*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -98335475 divided by 19667095\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5267591809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 1313 + 2656. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1880 - -1280. Suppose 0 = 4*a - 8*a + 2*u + 3564, 2*a + 5*u - 1806 = 0. Let k = q + a. Is k a composite 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\/15 + c**3\/6 + 2*c**2 + 6. Let o(k) be the second derivative of s(k). What is the first derivative of o(p) wrt p?\nAnswer: 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-104) + 14\/(-91). Which is the closest to h? (a) -1\/26 (b) -4 (c) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1348790545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 335, -3, -1, -8, -10 in descending order.\nAnswer: 335, -1, -3, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 943 - (-12)\/(4*-1). Suppose 4*h - 3196 - d = 0. Suppose -h + 309 = -5*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 64\/28 + 2\/(-7). Suppose x = -0*x + l. Let s(o) = 3199*o + 2. Let b be s(x). What is b rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 39*v - 483. Let k be t(13). Solve 33*a = k + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -67*g**6\/120 + 59*g**4\/3 - 468*g**2. Find the second derivative of p(t) wrt t.\nAnswer: -402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + ((2 + 2*sqrt(252))**2 - (sqrt(252) - (-1*sqrt(252))**2)*5) + 5 + -3.\nAnswer: 18*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 233*x**6\/2 + 187*x**4\/6 - 5*x**3\/6 - 3*x - 626. Find the third derivative of g(k) wrt k.\nAnswer: 83880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/39, 6\/11, 5, -1194.3?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9318284 litres in millilitres?\nAnswer: 931.8284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1635 * -51.37\nAnswer: -83989.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 17*g**2 - 16*g + 2. Let f be j(-16). Let v(l) = -2*l**2 - 7*l**2 - 3*l**2 + 11*l**f. Let q(z) = -6*z**2 + 3*z. Determine v(q(y)).\nAnswer: -36*y**4 + 36*y**3 - 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, -1105, -0.2, -0.4, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/24 and (-310)\/(-124) + 1026\/(-376).\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1 + 7 + -8 - -1. What is the least common multiple of i\/(-4)*(-10 - -18) and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 12*i**2 - 23*i - 34. What is y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/10)*b\/(b**3*b)*((b\/b**(2\/17))\/b*b)**(-10))**(11\/3) assuming b is positive.\nAnswer: b**(-7557\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226140.4369 + -728.\nAnswer: -226868.4369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4, 5, 1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 - 4*z - 4. Let v be ((-1)\/(-2))\/((-2)\/24). Let u = v - -3. Let a(g) = 240 - 237 - 8*g**3 + 10*g**3 + 3*g. What is u*d(k) - 4*a(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -302? (a) 1 (b) 5 (c) -1013\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 87\/270 - 18\/81. Suppose -4*q = -3*q - 2. Let g be (0 + 0)\/(q - 4). Are g and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(148*y - 37*y - 37*y)*(3*y - 2*y + 0*y).\nAnswer: 148*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 15*o**2\/2 - 179. Suppose v + 2*w - 5*w = 0, 10 = 2*v + 4*w. Suppose 6 = -v*a - 24. Let k(h) = h. What is a*k(p) + d(p)?\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*j - 5. Calculate the remainder when 145 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42898 = -198*x + 41908 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -44 - (44 + -10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481571449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.090011 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1163, -1969, -2773, -3575, -4375, -5173, -5969?\nAnswer: -6763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*i = 18, 0 = -d + 5*i - 12 - 3. Let r be (-32)\/30 + d\/(-15). What is the nearest to r in 4, -1\/2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, 1, 121, -5 in descending order.\nAnswer: 121, 16, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, -0.5, -1, 240.\nAnswer: -1, -0.5, 4, 12, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w + 3*w. Let l = w + 3. Let s be (3 - l)*(-9)\/6. Solve 4*i = -4*h + 16, 3*i + s*h = -2*h + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295075 is divided by 73231.\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 1136205847?\nAnswer: -1136205852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1918 rounded to three decimal places?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.96 + 3. Let q = v + 2.96. Let i = -0.09 + -0.21. What is the nearest to -0.2 in q, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5252397, -5252396, -5252395, -5252394?\n\"Answer: y - 5252398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.3 (b) 10 (c) 3 (d) 0.4 (e) -220\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12851.\nAnswer: 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16516.7 + 16517. What is the biggest value in j, 17\/6, 7\/5?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 - 312*o**2 + 606*o - 309. Let u(g) = g**3 + 156*g**2 - 303*g + 154. Let v(n) = -4*m(n) - 9*u(n). Solve v(b) = 0 for b.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 5:41 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -269 + 261 + (5 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 13*i - 19. Let g be d(11). Let a be 2 + (-44)\/(-3)*3. Suppose u - 3 + 9 = j, -4*u = 3*j - a. Solve -n - 10 = 2*m, 0*m + g*n = 2*m + j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) -3\/7 (b) 3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31501, 63154, 94807, 126460, 158113, 189766?\n\"Answer: 31653*p - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 1. Let q(c) = -42*c**2 - 10*c + 10. Determine -10*m(t) + q(t).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -136*b**3 - 3*b**2 + 2. Let c(l) = l**2 + 52*l + 652. Let i be c(-31). Give m(i).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**4\/24 - w**3\/3 + w**2. Let y be 242\/11 - 726\/22. Let n(z) = z**2 - 6*z - 11. What is y*l(f) + 2*n(f)?\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -519 + 531. Let s be (v\/(-18))\/(-2 + 3). Let w(g) = -2*g**3 + 2*g**2 + 3*g - 2. Let j be w(2). Which is the second biggest value? (a) 2.9 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16731574.\nAnswer: 2, 59, 141793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2212\/(-127190)*5\/4?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 171*z**2 + 82*z + 225. Let s be g(-3). Calculate the greatest common divisor of s and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11 = -t - 43, q - 64 = 2*t. Let m = t - -28. Let j(b) = b**2 + 5*b + 1. Give j(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + b + 1139, d - 2*b = -0*b + 373. Find the common denominator of 3\/2 - d\/30 and 12\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -577*q + 105*q**2 - 95*q**2 + 578*q.\nAnswer: 10*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 11458544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 41335480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a factor of 1715912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.132 and 22903640.3354.\nAnswer: 22903640.2034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*s + 74 - 273 = 301 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4865773 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -138, 11, -5, 4, -1, -664 in ascending order.\nAnswer: -664, -138, -5, -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 23*n + 7 = 0. Suppose -27 + 20 = n*r. What is the closest to r in -2\/23, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 446983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*v - 6, -25*v + 22*v = -3*o + 30. Suppose -2*n = 3*n. Solve n = 3*i - 3 + o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 7*t**2 + 11*t - 1. Suppose 7*z = 23*z + 48. Let c be (-34)\/z + 2\/3 - 2. Is w(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 105 = 2*t + 30, -4*t - 4*u = -148. Calculate the greatest common divisor of t and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g + 72 = -61*g + 26*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**3\/5 + 31084*i**2\/15 + 6906*i\/5 - 2072\/3 = 0.\nAnswer: -5180, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 2 + sqrt(117) + 0)**2 + 2)*3.\nAnswer: 18*sqrt(13) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*n + 477*n = -2*y - 13, -n + 7*y - 2 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184005 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/4*f - 9\/4*f**3 - 1\/4*f**4 + 3 + 33\/4*f**2.\nAnswer: -(f - 1)**3*(f + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*s = -27, s + 54 = b + 19. Suppose -124 = -3*k - 5*o, 3*o + 71 + b = 3*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 0*z**4 - 11\/5*z**5 + 12 + 0*z**3 - 69\/2*z**2 - z + 1\/30*z**6. Find the first derivative of d(c) wrt c.\nAnswer: 4*c**3 - 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 10:00 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + 30\/12. Suppose -3*t = -3*x + 33, m*x - 25 = -0*t + t. Calculate the greatest common factor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/8595?\nAnswer: -2\/8595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - -1 - 8 - (3 - 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 168*y - 2. Let j be s(-3). Let a = -160 - j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*y - 20. Suppose y*l + 630 = 7*l. Suppose 0 = -0*u + 5*u - l. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269344826 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 5*h + 12 = 0. Solve 3*k + h = 0, 2*k + 19 = 3*x - 2*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let o(y) = 123*y - 14 + 38 - 24. What is o(q(w))?\nAnswer: 123*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qququqqu. What is prob of sequence qqqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 203816*u + 35 = -203821*u, 5*a - 33 = 4*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 19*d**2 - 15*d + 15. Give a(18).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**2\/3 + 719723*y\/3 + 1919240 = 0.\nAnswer: -719715, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320*c**2*p**5 + 4*c**2*p**2 + 7*c*p + c + 5*p**5 - 4*p**2 wrt p?\nAnswer: -19200*c**2*p**2 + 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.95 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*k**4 - 1313*k**4 - 15*k**4 + (-3*k**4 - 3*k**4 + 5*k**4)*(4 + 0 - 3) to the form w*k**2 + d*k + o + b*k**3 + h*k**4 and give h.\nAnswer: -1359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7910 is divided by 1026?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157\/46 + -48\/23. Find the common denominator of v and 43\/62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/6563?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19 - 23) + 18\/(-7) - -7. Put -1\/3, 25, z, -0.3 in increasing order.\nAnswer: -1\/3, -0.3, z, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - -3)*(-3)\/7 and 56\/6 + (-36)\/9.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15167555 is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 313615 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -63855 (base 16) to base 12\nAnswer: -177a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2 + 169246*k - 3722444 = 0. What is k?\nAnswer: 22, 84601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -13*a - 89. Let b be j(-7). Solve -5*m + b*f - f + 1 = 0, -2*m - 4*f = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/21*(-6)\/((-36)\/(-21)). Let f(j) = j**3 - 7*j**2 + 3*j + 2. What is the units digit of f(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**3 + k**4 - 4*k**3)*(2 - 3 + 2) + 2 - 3*k**4 - 15*k**4 + 6*k**4 to the form v + i*k**2 + u*k**4 + n*k**3 + x*k and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 0.1 (c) 3\/5 (d) 923998\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33744167791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3809, -16120, -36639, -65366, -102301, -147444, -200795?\n\"Answer: -4104*q**2 + q + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 953*j**2. Let w(z) = 33*z - 2. What is w(v(p))?\nAnswer: 31449*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(3*sqrt(704))**2.\nAnswer: -19003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*b + f - 15, -3*b - 5*f = 40. What is the common denominator of -89\/10 and (2220\/88)\/b - -3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, 7, 1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*j**4 + j**2 + 140*j**4 - 5*j**2 + 2*j**2 - 2*j**3 + 10*j in the form y + h*j**2 + g*j**3 + s*j**4 + m*j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-6*1*sqrt(1216) + sqrt(1216))*2 - 5*(-3 + 1*sqrt(1216))))**2.\nAnswer: -3120*sqrt(19) + 273769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5016 + -5016. Let w = -0.37 - -0.27. Let x = -943\/7 - -135. Which is the nearest to x? (a) 4 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1769\/4 + -455. Let s = -780\/31 + -1\/186. What is the common denominator of d and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 184*u**2 + 6623*u - 40. Give i(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33459 and 555750.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-107)\/7 + (45\/35 - 1). Let x be 3\/5*-1 + 6\/h. Let n be (-5 - (-4 - -4))\/x. Solve n*a + 3 + 17 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 4149851.\nAnswer: 1244955.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4826, -75, 14\/13?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (66*(-5)\/(-90))\/(1\/(-3)). Let g(f) = -f**2 - 13*f - 16. What is g(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -281195, -562390, -843587, -1124786, -1405987?\n\"Answer: -s**2 - 281192*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + k + 23. Let r be i(0). Let p = -4 + r. Suppose -57 = 18*b - p*b. Is b a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23384 is divided by 371.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**3 + 61*x**2 + 29*x + 67. Determine c(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y + 6*y + 8*y. Let j(l) be the first derivative of 0*l - 6 + 1\/3*l**3 + 0*l**2. What is g(j(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 11732.\nAnswer: -9\/11732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122913 + -0.070423915?\nAnswer: 0.052489085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4 - 424\/(-104)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -471.50257 + 427.925536. Let k = q - 10.423256. Let c = -54 - k. Round c to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 372*n**2 + 149*n**2 - 98*n**2.\nAnswer: -321*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 8*w**2 + 2*w - 12. Let d be m(8). Let t be (d\/(-10))\/(24\/40). What is the smallest value in -0.2, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) -3 (c) 1\/4 (d) -9 (e) -181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6\/11 (b) -2\/19 (c) 0.5 (d) -19\/37 (e) 24\/5 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10378 is divided by 1003?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 28. Which is the third biggest value? (a) n (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 8:12 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3233*l**2 + 4. Let r(v) = -6452*v**2 - 7. What is -7*a(f) - 4*r(f)?\nAnswer: 3177*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 13 - 28)*(-y + 0*y + 0*y)*((y + 3 - 3)*(-17 + 17 + 20*y) - 3*y**2 + 6*y**2 + y**2).\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775803 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 9*t**2 + 6*t + 19. Determine l(7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397565599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l - 3. Let n be o(-6). Let u = -32 - n. Calculate the highest common factor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.073 rounded to one decimal place?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/9105075 and 197\/98700.\nAnswer: 36420300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3117 (base 10) to base 2.\nAnswer: 110000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 10:48 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g. Let f(x) = x + 15. Let j be f(g). What is the units digit of (-3)\/j + 61\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11278 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:47 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50794 = -334*t - 83860 for t.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1386 and 553476?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13366.89 litres in millilitres?\nAnswer: 13366890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/9268 and -93\/98.\nAnswer: 64876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = v - 0*v + 305, 2*z = -2*v + 110. Let n(a) = 11*a + 13*a**2 + 31 + a**3 + 17 - z. Let c be n(-12). Put -1, 3, c in decreasing order.\nAnswer: 3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3612, -11590, -23936, -40650?\n\"Answer: -2184*c**2 - 1426*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 458?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 92 (b) -0.2 (c) -64828\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*g - 2*b**2 - 17*b*g**2*w**3 - 10*b*g**2 - b*w**3 - b + 63*w**3 wrt g?\nAnswer: -2*b**2 - 34*b*g*w**3 - 20*b*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -635 + 735. What is the tens digit of 1426\/4*(104 - r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7479 or 7475?\nAnswer: 7479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*r - 5*r - 3*r to the form s + n*r and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -507, -956, -1409, -1866, -2327?\nAnswer: -2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 22, 55, 122, 235, 406?\n\"Answer: 2*o**3 - o**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 6)*-2 + ((-4256)\/(-91))\/8.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 331353635 or 331353640?\nAnswer: 331353635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (0 - (1 + 2)) + 106 + -89?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -64*k**2 - 36. Let n(i) be the first derivative of 3*i**3 + 5*i - 11. Let b(l) = -6*m(l) - 44*n(l). Differentiate b(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*q**3 - 2*q**2 + 477 with respect to q.\nAnswer: 192*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84546467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 13 = -s. Is 13 a factor of (-21 - -11)\/((-1)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k**(-23)*k*k)*k**(-1\/13) assuming k is positive.\nAnswer: k**(298\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/7 + 58274*n**3\/7 - 931958*n**2\/7 + 2504286*n\/7 + 3494520\/7 = 0. What is n?\nAnswer: -1, 5, 12, 29121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 4. Let k be b(2). Suppose 4*u + k + 2 = -j, -5*u - 8 = 2*j. Solve -2*t = 5*x - 3*t + 30, u = x - t + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 688\/88 - 30\/(-165). What is the biggest value in o, -5, -4, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25985 - -25995. Solve -13*w = f*w + 23 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(sqrt(5) - ((sqrt(5) - sqrt(45)) + sqrt(5))) + -1*(sqrt(160)\/sqrt(4))\/sqrt(8))**2.\nAnswer: 30*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o + 33. Let t be p(7). Solve 0 = -3*n + t*c - 3, 9*c - 4*c - 15 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -363, 3, 0.13, 3508?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 8*g**2 - 6*g - 10. Let b be i(6). Suppose 5*p = 2*c - b, -4*c - 3*p = -0*c. Let o(t) = 20*t**3 - 20 - 19*t**c + 0. What is o(0)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -11) + 40 - 11.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - (80\/(-45) + -8)) + (-14107421)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + -44. Let u = -55 - m. Put -0.3, u, -2\/3 in descending order.\nAnswer: u, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 23*s**3 + 4*s**2 - 4*s - 6. Let k(y) = 22*y**3 + 3*y**2 - 3*y - 5. Let l(t) = 4*g(t) - 5*k(t). Let o(q) = -18964*q + 75857. Let x be o(4). Give l(x).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(52) - sqrt(52))*1 - sqrt(52) - (4*sqrt(130)*2)\/sqrt(10).\nAnswer: -10*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-3))\/(5*2\/30). Solve 1 + 4 = -g*o + 4*x, 3*o - x = -10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (11 - 4) - (3 + -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 3. Let h(x) = x**2 - 1. Let i(z) = 6*h(z) - 2*y(z). Let q(r) = -124 + 252 + 2*r**2 - 128. Calculate i(q(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13 - -2) + -12)*(36 + -18)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15\/8*l**2 - 3\/4 - 43\/8*l = 0. What is l?\nAnswer: -2\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -8*h + 90. Let j be (6\/4 - 1) + h\/6. Suppose 3*c + 3*t - 183 = 0, -2*t + 181 = -j*c + 5*c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27464 - -5b?\nAnswer: -27405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2, -4\/7, -2\/13, 758, 0.22?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2624?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.429 - -0.059. Let p = j + 0.87. Let c = 3.01 - 0.01. What is the third biggest value in c, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679.092 + 0.05?\nAnswer: 4679.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) -2 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r**2 - r. Let j be h(-1). Let w = 1942 + -1937. Suppose 2*v - 5*m + 19 = 5, 5*m = v + 17. Solve w = -v*i + j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:39 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1446 + -21414947349\nAnswer: -21414948795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5627 and 7613.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*n - n - 22, 0 = -n - 5*i - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2933.069 + -2933. Which is the nearest to 1\/3? (a) -2 (b) o (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t**2 + 7*t + 9. Is 12 a factor of l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 11\/43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*sqrt(252).\nAnswer: -18*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + z + 33, z + 73 = -410*c + 414*c. Solve -3*u + 2 = -4*t, -3*t + 15*u = c*u + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 8\/6)*3. Let g(u) be the third derivative of 5*u**4\/12 - u**3\/6 - 3*u**2. What is the units digit of g(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/3 - 12*c**3 - 154*c**2 - 131*c. Factor f(g).\nAnswer: -4*(g + 7)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -13, -57, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114361\/1362 - -30\/227. Let g = r - -84. Suppose -6*t = -4*t - 12. Which is the smallest value? (a) t (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(-22))\/((-1)\/(-2)). Let y(h) be the third derivative of 0*h**3 + 1\/30*h**5 + 0*h - 1\/24*h**4 - 2*h**2 + 0. Calculate y(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/(q\/(q**(-3)\/q)))*q)\/q)\/q)\/q**(-3)*(q**(-5)*q)\/((q*q**(-5\/8)*q*q)\/q) assuming q is positive.\nAnswer: q**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.436729 centuries to years.\nAnswer: 43.6729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*w**2 + (-5 + 3 - 1)*(5*w**2 - 3*w**2 + 4*w**2).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -1040, 26\/525?\nAnswer: -1040","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 - c - 8. Let t(p) = -3*p**2 + p + 1. Let s(v) = -g(v) - 2*t(v). Let u(o) = o**2 + 2*o - 1. Let h(r) = s(r) + 2*u(r). Determine h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q + 43 - 41 - 4*q. Let u(b) = 13*b + 9. Let v(w) = 9*g(w) - 2*u(w). Let p(s) = -s**2 - 83*s. What is v(p(f))?\nAnswer: -f**2 - 83*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 22*b**2 - 2*b + 18. Let k be w(22). Is -26 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -285 less than -283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 85 - 35 = 0. Let h be (-1)\/((c\/(-3))\/40). Does 6 divide (-57)\/((-3)\/(-15)*h\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 348 - 162. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-1628)*(-3 - 1). Suppose -235*a + 37 = -272*a. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*g - 5045 = 3445 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -16?\nAnswer: 29\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 9. Suppose 33 = 2*g + 3*h, h = -5*g + g + 41. Let q(n) = -n + 18. Let z be q(g). What is the greatest common divisor of z and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328858 (base 10) to base 14.\nAnswer: 87bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/6 - 5*r**2 - r. Let i be k(6). Let u(m) = m**2 + 5*m + 5. What is the units digit of u(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 706606, 1413233, 2119860?\n\"Answer: 706627*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -14*t. Let x(c) = -71646*c. Give r(x(w)).\nAnswer: 1003044*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**6\/60 + 4*j**5\/3 - 11*j**4\/24 - j**3\/2 + 145*j**2 - j. Find the second derivative of p(m) wrt m.\nAnswer: 12*m + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2947, 5887, 8823, 11755, 14683, 17607?\nAnswer: 20527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*f - 1, -5*f = 19 - 4. Let m be (-342)\/(-6) + 3\/1. Let b be m\/(-24)*(-8)\/10. Solve 5*z + 2*x = 5, k*z - b = -2*x - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 166174*z - 498513.\nAnswer: -(z - 166171)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 1)*(3 + d - 3)*(4*d - 6 + 6) to m + l*d + p*d**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 + -85. Suppose 4 = 5*a - 1, 0 = -n + 4*a - y. Does 4 divide n\/4*6\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 31*i. Let r(j) = -180*j - 6. What is r(p) + 3*y(p)?\nAnswer: -87*p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**3 + 5*b**2 + 4*b - 6. Let p(l) = -l**3 + l**2 + l - 1. What is -4*p(c) + v(c)?\nAnswer: -c**3 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 973342981 to the power of 1\/2, to the nearest integer?\nAnswer: 31198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 410869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 1:32 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 + 11*j - 12. Let x be i(-9). Let w = x + 29. What are the prime factors of (w - (-24)\/(-3))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2575 = 5*p - 8727, 4*p - 9053 = 3*t. Let a = p - 31609\/14. Calculate the common denominator of a and 151\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a hour in seconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 948233951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - 57) + (0 - -4 - (4 - 4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3699944 is divided by 1410?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f - 10 + 21 + 136*f - 9.\nAnswer: 124*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -895322, -1790636, -2685950, -3581264?\n\"Answer: -895314*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16412 and 11.\nAnswer: 16412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52030 and 182105?\nAnswer: 364210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/3 + (-16)\/(-6). Suppose x*l = 2*l - 4*k + 19, -3*k = 3*l - 21. Which is the third smallest value? (a) 4 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 22*t**2 - t - 4. List the prime factors of z(2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)\/(-13)*2. Let n = -3 - -5. Let t = -10 + 13. Which is the closest to -2\/5? (a) t (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2169 + -0.1145. Let i = 1.1 - v. Round i to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/30)\/3)\/((-98)\/(-735)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 74 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 11, x: 1}. What is prob of picking 2 q and 2 l?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, 72971.\nAnswer: -5, -4, 2, 72971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678840 is divided by 226277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*43)\/(-1) + (-44)\/(-11). Suppose z = 19*m - 29. Is m at least 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 61. Calculate the greatest common divisor of c and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1181 - -1416. What is the highest common divisor of n and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = v - 78, 5*l - 96 - 94 = -3*v. Let i be -3 + v\/22 + (-6)\/33. Solve 8*y - 3*y + 5 = i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmcecccmmheehephech. What is prob of sequence mc?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 226936367 a multiple of 1698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29976, 29965, 29954, 29943, 29932?\nAnswer: 29921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 9*r**2 + 9*r + 10. Let g(w) = -3*w + 2. Let d be g(-2). What is the tens digit of x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-46 + 45) - 1) + -141 + (-1 - -1)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**3\/6 - o**2 - o. Let a be r(-3). Let c(k) = 4 - 4 + a - 13*k. Give c(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:38 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(40)\/(sqrt(20)\/sqrt(5))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1714482.1324 - -1714029. Let q = v - -453. What is q rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 72\/195 + -354*94\/(-144196)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (2 - 1) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4)*(15 + -7 + -8). Determine z so that -2\/5*z**3 + 4\/5*z**4 + 0*z + r - 2\/5*z**5 + 0*z**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021221200020 + 112?\nAnswer: 2021221200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 - 3915*g**3 - 198365*g**2 - 893325*g = 0. What is g?\nAnswer: -43, -5, 0, 831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6477 and 48\/6307.\nAnswer: 2402967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/(-171)*((-6)\/35)\/(149\/(-2086))?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2038 is divided by 226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 133*i + 8705. Calculate a(-64).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r*t**2 - 33482066*r*t - 1870309*t**2 wrt t?\nAnswer: -10*r - 3740618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.2 + 138.2. Let i = 130.97 - k. Let c = -1 - 1. Is c at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 + 0*r**4 - 2*r**4 + 22*r**3 - r**3.\nAnswer: 3*r**3*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - 1011224?\nAnswer: -1011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -s + 12, 0 = -3*p + 3*s + 651 - 642 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.13115678 and -7402.\nAnswer: -7402.13115678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -1033*p**3 + 642*p**2 - 2526*p. Find the first derivative of i(y) wrt y.\nAnswer: -6198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r*r*r**10*r)*r**(2\/15) assuming r is positive.\nAnswer: r**(-193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2 - 2 - 12*r**2. Let s(h) be the second derivative of 0*h**3 + 0 - 1\/6*h**4 + 0*h**2 + 27*h. Determine f(s(d)).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*y - 28 = -501*y. Solve 4*o + 8 = 4*u, 0 = y*o + u - 3*u + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -153 + 32?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((6 - 22 - -20) + 1 + 2 - -5) + -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 61*n - 610. What is i(9)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 467925 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*h, -4*l - 4*h + 7 = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-2 - 3*c + 2)*(0*c + 4*c - 2*c) + 26*c**2 - 54*c**2 - 38*c**2.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -908638 = -908691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 37664*b - 4. Let m be q(-8). Let z = m - 618684. Round z to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (40 + (-17 - 28) + 1 + 13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 15 = 29*i, 0 = -n - 4*i + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 t when three letters picked without replacement from ztptktktkzkpvt?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1320220 (base 6) to base 12\nAnswer: -36070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 16. Suppose t*s - 16 = -0*s. What is the smallest common multiple of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 + 7. Suppose -5*p - 5*v + 30 = 0, -3*v + 22 = p + 4*p. Let w(a) = -3 - 4*a + 2*a**p + a + 3*a. Give -3*b(q) - 7*w(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/3)*h**(4\/7)*h*h**(-4)*h*(h*h**(-5))\/h*(h**(-2\/7)\/h*(h*h**(-7))\/h)\/((h**6*h)\/((h\/h**(6\/7))\/h*h)) assuming h is positive.\nAnswer: h**(-460\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3974\/2 - ((-80)\/(-10))\/(-4). Suppose -2*o + 3*z + w = 0, -3*z + 497 + 484 = o. Is 45 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/352 + 1764\/99.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -0.07371766?\nAnswer: -0.27371766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5*9\/((-135)\/(-42)). Let g = -33 - y. Is 23 a factor of (g\/38)\/((-2)\/296)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/9728 and -1\/19712.\nAnswer: 749056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111005 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 189, -2\/11, 1\/3 in descending order.\nAnswer: 189, 1\/3, -2\/11, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1613 or -1618?\nAnswer: -1618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**2 - 10*g**2 + 3*g + 5*g**2 to j + m*g**2 + y*g and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -36450.\nAnswer: 1\/12150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 20*n - 88. Let o(v) = -13*v + 55. Let g(z) = -5*m(z) - 8*o(z). Let p(c) = 37*c. Give p(g(d)).\nAnswer: 148*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 151.1307.\nAnswer: -755.6535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 5*x**5\/4 + 35*x**4\/4 + 49*x**3\/2 + 3*x**2 + 223. What is w in o(w) = 0?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 396435 + 950?\nAnswer: 397385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5\/4 + 2*j**4 - 3*j**3\/4 = 0. What is j?\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-3)\/(5175\/(-230))*9\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/2*(-7)\/42. Let s = -0.368 + -46.432. Let i = 47 + s. What is the nearest to f in -0.4, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 63\/2 or -1\/3?\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 10*b + 36)*(-3*b + b - b) - 2*b**2 - 5*b**2 + 5*b**2 in the form k*b + d*b**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11638.5 - 11638. What is the nearest to 2\/7 in -121, l, -5, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-8) + (868\/(-49) - -8).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 66 = -14*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 3\/8 (c) -3 (d) 0.05 (e) 1 (f) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -47a4c (base 13) to base 12\nAnswer: -64041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrlurullu. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 774811, 774834, 774857, 774880, 774903, 774926?\n\"Answer: 23*k + 774788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:55 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9295700 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -53. Is 2 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -201100110 (base 3) in base 8?\nAnswer: -33432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -4)*-3898*5\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276201 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 9*y = 6. Let z(r) = 5*r**3 - 9*r**2 + 9*r + 13. Let g = -16 + 7. Let d(t) = -t**3 + 2*t**2 - 2*t - 3. What is g*d(w) + y*z(w)?\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41)\/2*(0*((-990)\/(-77) - 13) - 2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7042753321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -425*o**5 - 465*o**4 + 1235*o**3 + 545*o**2 - 810*o - 80 = 0. Calculate o.\nAnswer: -2, -1, -8\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f42 - 4?\nAnswer: -f46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 0. Let k(p) = -3*p**3 - 2*p**2 - 2*p - 1. Let q be k(g). Is (q + -10)*(-1 + -1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*s**5 - 216*s**4 - 6650*s**2 wrt s.\nAnswer: 420*s**2 - 5184*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*q**3*v**3 - 357*q**3 - 25*q*v**3 wrt v.\nAnswer: 18*q**3*v**2 - 75*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 188744 divided by 4\nAnswer: 47186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let x(z) = 65*z + 2. Give o(x(l)).\nAnswer: 65*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, -2\/5, 1\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 155?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*h + 2*d + 14 = -26*h, -4*d = -12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**3 - 309*b**2 - 275*b + 181. Calculate h(45).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 554*q**6 + 1462*q**4 - 8*q**3 - 247*q**2 - 2*q + 7440?\nAnswer: 66480*q**3 + 35088*q - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223120 - -2413?\nAnswer: -220303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69\/2 - 745\/14. Which is bigger: -18 or g?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-4)\/21)\/((-41)\/(-123)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173\/11 + 27518\/1749. What is the nearest to -1 in x, 1\/4, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 + 45.1. Let f = -0.6 + -4.4. Which is the closest to q? (a) -2\/19 (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 16 = 3*o + 5*z, 5*z = -4*o + 13. Let a be 2\/o + 252\/135. Factor 6\/5*i + 2\/5 + 2\/5*i**3 + a*i**2.\nAnswer: 2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38361367 to the nearest integer?\nAnswer: 6194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-2))\/(-1))\/(252\/(-1008))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*6\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -264 - -268. Let v(m) = 6*m**2 - m**2 - 5*m**2 - r*m**2. Let d(k) = -17*k**2 - k. Determine 2*d(i) - 9*v(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4281, 7387, 12567, 19827, 29173, 40611?\n\"Answer: n**3 + 1031*n**2 + 6*n + 3243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*k - 3 + 42 = 0, 17*k - 15*k + 96 = -37*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*k**2 + 254*k - 1 + 57*k**2 - 16*k**2 + 804*k in the form i*k + m*k**2 + j and give i.\nAnswer: 1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 5*o**2 + 6*o + 6. Let g = 55 + -59. Calculate w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.0602mm in micrometers?\nAnswer: 645060.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1014168 and -139\/120.\nAnswer: 5070840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*2250\/(-20). Let m be (-2*11)\/((-5)\/(z\/6)). Let n be (-4)\/(-10) + 968\/m. Calculate the highest common divisor of 162 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/4 - 11*l**3\/4 + 24*l**2 + 107*l + 60 = 0. What is l?\nAnswer: -5, -4, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most -178.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 529513579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - (22 + 1 + (180 - 183))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.5 (c) 1\/52 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -63093 and -0.149.\nAnswer: -63093.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455 and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -20 + (1897 - (28 + -24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, u: 4, t: 6}. Give prob of picking 2 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(46\/15 + -3). Which is the closest to h? (a) -2\/13 (b) 13\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-4))\/(12\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817634140?\nAnswer: 2, 5, 37, 139, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 375771\/(-2316)*8\/(-66)\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377161 is divided by 188520?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - b + 3. Let o(d) = -d**2 - 11*d - 26. Let u be o(-4). Let f(a) = -3*a**2 - a + 2. Determine u*v(k) - 3*f(k).\nAnswer: 5*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 657 and 292?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 11.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-37)*a)**(7\/4)*(a*a*a**(-10))**(-7\/2) assuming a is positive.\nAnswer: a**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.117, 33, -23\/12.\nAnswer: -23\/12, -3\/5, -0.117, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/6 + 3*m**2\/2 - 3*m. Let n be f(-3). Suppose 0 = 6*h + h. Solve h = -n*s + s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58828 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000812 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f + 6*f + 2*f. Let b(l) = 13*l. Calculate b(i(c)).\nAnswer: 13*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 2 - 95*l**2 + 97*l**2 - 3.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**4\/20 - 7*c**3\/15 - 49*c**2\/5 + 137. Factor y(u).\nAnswer: u*(u - 14)*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 901 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/((-2)\/1)*1. Suppose -r*t = t. Let h be -1 + 17 + t - 1. Calculate the highest common factor of 105 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 4*y + 43 = 47, -s = 3*y + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 1551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2 + 8*w + 4. Let m(b) = -25*b**2 - 68*b - 34. Let z(d) = 2*m(d) + 17*o(d). Let i(x) = -x + 2295. Give z(i(f)).\nAnswer: f**2 - 4590*f + 5267025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9099243 and -1.9.\nAnswer: -0.9900757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 33\/4 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/3)\/4)\/(-14*16\/(-1568))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldld when four letters picked without replacement from ddll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b + 0*b**2 - 10*b**3 + 10*b - 2*b**2 - 2 + 9*b**3. Let f(l) = 5*l**3 + 8*l**2 - 9*l + 9. Determine -4*f(d) - 18*x(d).\nAnswer: -2*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(42)\/sqrt(3)*3)\/(sqrt(7) + -5*sqrt(14)\/sqrt(2)) - (-1*2*6*sqrt(72))**2).\nAnswer: -10368 - 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4)\/j**(-2\/3))\/(j\/((j\/j**(-2))\/j)*j*j\/(j*j**(-2))))\/(j**0*j*j*j\/(j*j\/j**(-5))*j*(j**(1\/3))**(1\/17)) assuming j is positive.\nAnswer: j**(-40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/4))\/(a\/a**(-3)))\/((a\/(a*a\/(a*a*(a\/a**(2\/5))\/a)))\/((a**(-6)*a*a)\/a)) assuming a is positive.\nAnswer: a**(-177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31\/5 (b) -2 (c) -0.26 (d) -5\/16 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 j when four letters picked without replacement from jjjnjjjjjjjnjjjjnj?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 8*b - 9. Let y be s(-9). Let a(w) be the second derivative of 0*w**2 + 1\/15*w**4 - 5*w + y - 1\/50*w**5 - 1\/15*w**3. Factor a(o).\nAnswer: -2*o*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.84885 millennia to decades.\nAnswer: 6384.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12151 and 2871.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000201383921 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1699 and -88677.\nAnswer: -90376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t - 2*t - 60117922*t**2 + 60119333*t**2 in the form z*t**2 + s + v*t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 30, 4, 1, 3 in descending order.\nAnswer: 30, 4, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00620016 to 6 decimal places.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a25aa (base 16) in base 3?\nAnswer: -21011121100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 181494 and 1648.389841?\nAnswer: 179845.610159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0043 and -284034?\nAnswer: 284034.0043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiryurrtrtrkt. Give prob of sequence tuyr.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/3 + 3*u - 1. Let j(t) be the first derivative of g(t). Let x(y) = -4*y**2. Determine j(x(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = n - 1 - 16, l - 4*n = 31. Suppose -28 = -l*i + 7*i. What is the greatest common factor of i and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195579 is divided by 3166.\nAnswer: 2453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 70505 = 58*n - 56*n, 0 = -2*q + 4*n + 46998. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 670*f = 675*f + 4*d - 34, 14 = -2*f + 3*d. Solve -b = 4*z - 3, f*z + 121*b - 120*b - 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035305024 (base 6) to base 8.\nAnswer: -52502450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27592 + 28271. Calculate the least common multiple of n and 388.\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 994, 2234, 3970, 6202?\nAnswer: 8930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from bnbnnnnbnb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -8.9\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -703.37.\nAnswer: -704.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1612*c**2*o - 15*c**2 + c*o - 218446*o with respect to c.\nAnswer: -3224*c*o - 30*c + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 + 27 + 6*i**2)*(0 - 4 + 10)*(-15 + 21*i + 15) to the form s*i**2 + t*i + r*i**3 + p and give r.\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 1455.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9690.000001567 + -9690. What is g rounded to seven decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.02 + 0.02. Let f = -3 + j. Let v = 15 + f. Which is smaller: v or -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -8 and -362\/47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 15) to base 12.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -75. Suppose r = -8 - f. Let x = 322\/11 + r. Find the common denominator of -68\/3 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19815373 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2755 (base 10) to base 4\nAnswer: 223003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23141 + -23137. Sort -5, -120, x.\nAnswer: -120, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 0, -1, -5 in decreasing order.\nAnswer: 0, -1, -5, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -80?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 + 2*a**2 - a**2)*(-a + 2*a + 2*a) + (1 + 3 + 1)*(-7*a**2 + 2*a - 2*a)*(0 + 0 + a) as c*a**2 + m*a**3 + z*a + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f + 39a94?\nAnswer: 39a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37801690, 37801703, 37801716, 37801729, 37801742, 37801755?\nAnswer: 37801768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 253 = 92*l, 150*h - 148*h - 14 - 21 = 4*l + 4 - 5 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(432))**2.\nAnswer: -24*sqrt(3) + 433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**3 - 3177*r**2 - 1121481*r - 131960931 = 0?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*k - 18. Solve 0 = -k*j - 0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/(48\/72)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -20, -3744 in descending order.\nAnswer: 3, -6, -20, -3744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bd8 + 15?\nAnswer: -1bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 - 32*f**2 + 18*f - 21. Let j(c) = 3*c**3 + 33*c**2 - 15*c + 20. What is -6*j(k) - 5*t(k)?\nAnswer: 2*k**3 - 38*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -84. Calculate the remainder when j is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/378 and -11\/441.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:03 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 110963016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8*15\/(-36)*(-6)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 4*k**2 + k - 10. Suppose 9*p = 4*p - 30. Let r be (-20)\/p*(-36)\/24. What is the tens digit of h(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.060729 weeks in milliseconds?\nAnswer: 641528899.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -11*t - 72. Determine x(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.6. Let c = 0.1 - 0.2. Let q = 26 - 128\/5. What is the smallest value in q, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 + 139. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s - 1. Let r(x) = 4*x - 28. Give -2*q(y) - r(y).\nAnswer: 2*y + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 1998\/30 + (-5)\/(450\/144)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537a5 (base 16) in base 2?\nAnswer: -1010011011110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 2*f - 4*f)*(3 + 2 - 2).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4092 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 15*k**2 - 16*k - 12. What is the tens digit of s(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/3 + 2496\/720\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 90. What is the remainder when (218\/8)\/((-2)\/b*-8) is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 w when three letters picked without replacement from wuwwuw.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1.8, -2?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2323.994 - 2319. Let s = h + 0.006. Put s, 2.1, 0, -0.4 in descending order.\nAnswer: s, 2.1, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 8. Let b be h(-6). Suppose -4*m = b*l + 17 + 3, 2*m + 10 = 0. Suppose l = -5*s + 10, 2*q = q + 5*s - 7. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 21*l**5 - 14769*l**4 + 3037311*l**3 - 149111331*l**2 + 460188900*l - 119380932 = 0.\nAnswer: 2\/7, 3, 66, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 61. Calculate d(-13).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -71*z + 542. What is the tens digit of q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/105 + 2 + (-498)\/(-63). Suppose 7 = h*n - 11*n - a, 0 = -2*n + 5*a + 14. What is the closest to -2\/5 in n, -0.4, -0.3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 + -140?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1157101 (base 8) to base 3\nAnswer: 121012122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-54)\/(-90))\/(2\/((-8)\/6)). Which is the third biggest value? (a) 1 (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3351 + 1903. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22.9553 - -0.0553. Let l = 116.9 + g. Let a = -92 + l. What is the nearest to 2 in 3\/7, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141.522ml to litres.\nAnswer: 1.141522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42 * 24.168.\nAnswer: -10.15056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2920000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**7\/11340 - h**6\/540 - h**5\/60 - h**4\/2 + 5*h. Let m(j) be the third derivative of x(j). Determine r so that m(r) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-4 - 0) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k - 12. Let c(h) = -5*h + 2. What is the remainder when y(7) is divided by c(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-16))\/(10\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 + 36 = -4*c. Suppose 3*z - 28 = -s + c, -2*s + 2*z = -72. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -607. Suppose -2*l + o - 110 = 0. Calculate the greatest common factor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 2 - 2 + 2*d + 3*d - 3*d + (0 + d + 0)*(-6 + 4 + 3) - d + 4*d - 2*d + (6 - 23 - 9)*(3 - 4 + 5)*(12*d - 13*d + 24*d).\nAnswer: -2389*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132791 is divided by 1509?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 7*j**4\/12 + j**3\/3 - j**2\/2 + 2*j. Is y(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 0 (c) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 v, and 1 c when three letters picked without replacement from copcovpvpopppccppvo.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 14974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 10:48 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10908 + -6183. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42*7\/98*6\/28\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 - 29640*p**3 + 73683504*p**2 - 2335157760*p + 18620755968 = 0.\nAnswer: 16, 4924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 680831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 91.\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -256.93 and -15403109.\nAnswer: -15403365.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172984321 a multiple of 330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from nnwnwmwwnnmn?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36) + (-427)\/(-1830).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2293, -4, -332?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 - -97. What is the second smallest value in -5, -0.5, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121310310210 (base 4) to base 6.\nAnswer: 401034220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2557*q + 0 + 1293*q + 0)*(-37 + 3*q**2 + 37) in the form w*q + m*q**2 + k + n*q**3 and give n.\nAnswer: -3792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 45\/10 - (-2)\/4. Let b = 0 + n. Suppose 0 = c - 6*c, -b*c + 4 = 4*j. Calculate the highest common divisor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-560)\/(-90) + (-4)\/18. Suppose -h*t + 6 = -3*t. Let q(f) = 9*f**2 - 4*f + 4. What is the units digit of q(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence haaa when four letters picked without replacement from ahaaaahaahaaahahah.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 13678*r**2\/3 + 123169*r\/3 - 191618\/3.\nAnswer: -(r - 7)*(r - 2)*(r + 13687)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*x**2 - 1 - 41*x**2 + 169*x - 52*x**2 + 133*x**2 to the form d*x + o*x**2 + p and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46062*a**3*v**5 + 1949*a**3*v**2 - 2*v**5 wrt v?\nAnswer: 2763720*a**3*v**2 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400298 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -0.137.\nAnswer: 4.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*t = -2, -8*g + 5*g + 12 = 3*t. Suppose -g*j = -5*f + 9097, -5*f + 3*j + 6232 = -2861. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/7, -6, -0.3, 3\/5, -8\/5, 3, 4\/21?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bege when four letters picked without replacement from rerregebereerereerr?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let j(t) = 22*t**2 - 16*t - 127. What is q(j(n))?\nAnswer: 44*n**2 - 32*n - 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-66)*(1 - 7\/5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1297\/63 - -141\/7. Let r = -4.02 + 1.02. What is the second smallest value in -3\/4, -4, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 906 - 851. Solve -t*s + 10 = -60*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h**2 - 48 + 51 - 12*h**2. Let q(t) = -t**2. Calculate -2*q(x) + y(x).\nAnswer: 5*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 31*a + 107. Give d(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74304 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6629*t**5 + 76511*t**2 - 76511*t**2)*(4 - 2 - 3).\nAnswer: 6629*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18531, -74396, -167481, -297780, -465287, -669996, -911901, -1190996?\nAnswer: -1507275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8894.737829 rounded to the nearest 10?\nAnswer: 8890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (15 - 2 - (5 - -42))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*x**3 + 18 + 25*x**3 + 15 wrt x.\nAnswer: 63*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 12:34 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s + 5*n + 3121, 4*s + 4*n - 3112 = 0. Suppose 1174 = 3*q - s. List the prime factors of q.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 0.73, -2?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-9\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23455*d**2 + 10*d - 8. Let g be o(2). Suppose v - g = -73*v. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 12*g + 6988 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 4. Suppose 0 = -t*m + 4*m - 140. Let p = -25 + m. Solve a + 2*u - p = -u, -4*a + 26 = 5*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*n - 5*n - 65 = 0, -3*z + 35 = -2*n. What is the first derivative of 3*v**3 + z - v**3 - 1 + 2*v**3 wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63643.\nAnswer: 31, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4481, 32124, 107163, 253298, 494229, 853656?\n\"Answer: 3950*w**3 - 2*w**2 - w + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-128*y**2 + 35*y**2 + 1 - 5*y + 91*y**2)*(2*y**2 + y**2 - 5*y**2).\nAnswer: 4*y**4 + 10*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 35*i**2 - 31*i - 2. Let x be q(1). Let u(p) be the first derivative of -2\/33*p**3 + 23 - 2\/11*p**x + 6\/11*p. Factor u(n).\nAnswer: -2*(n - 1)*(n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:51 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**3 + 68*h**2 + 8*h - 76. Let y(x) = -4*x**3 - 68*x**2 - 5*x + 74. Let o(f) = 3*b(f) + 4*y(f). Factor o(v).\nAnswer: -4*(v - 1)*(v + 1)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5 (b) 2\/413 (c) 2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*l + 5*l. Let x = -6954 + 6972. Calculate the smallest common multiple of x and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7990000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-591)\/(-1704) + ((-54)\/16)\/9?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -137 + 26. List the prime factors of u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6395)\/(-25) + 1\/(-5). Let z = m - 252. Find the common denominator of z and 186\/33 - (-1 + 2).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - -1) + (-1298 - -1272)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:26 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/59 in 2, 0.16, 5\/4, 1, 7?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -652, 3, -1, 6 in decreasing order.\nAnswer: 6, 3, -1, -652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*n = -388, 5*w + 3*n - 26 - 469 = 0. Suppose -219 = -2*d + 5*y, 5*d - 4*y = 96 + 426. Is w >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -778, -2297, -4604, -7741, -11750?\nAnswer: -16673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (22 - -9))*(-6)\/33*11\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y + 5. Let i(v) = -10*v + 10. Let a(c) = -4*i(c) + 9*s(c). Suppose 25*x - 6 = 28*x. Let l = -1 + x. Let t(n) = 4*n - 4. Calculate l*a(f) - 4*t(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35652 + -1130?\nAnswer: 34522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/(8\/712). Let y = s + 118. Let x be 2\/(-6) + 13\/3. What is the nearest to y in 0.4, 6, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.819022 to 1 decimal place.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 67 = -5*g - 5*s, -g = -2*s - 5. Suppose -17*w = -g*w. Solve x + 0*x - 4 = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/129, -0.3, -22, -2\/5, -3, 2.\nAnswer: -22, -3, -2\/5, -0.3, -1\/129, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 147674.4 meters in nanometers?\nAnswer: 147674400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 56*g**2 - 74*g + 2. Let b(i) = 36*i**2 - 50*i + 1. Calculate -8*b(u) + 5*v(u).\nAnswer: -8*u**2 + 30*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -15. Let t be (4\/104)\/(q\/4). Which is the smallest value? (a) -0.4 (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1303 or 1304?\nAnswer: 1304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9339952 to the power of 1\/2, to the nearest integer?\nAnswer: 3056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = 3*d + 5, -5*d = -4*t + 66. Let b = 32 + d. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*o**2 + 37*o**2 - 80*o**2 - 108 to h*o + z + a*o**2 and give z.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38351548.\nAnswer: 2, 1873, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3603*y + 3616*y - 36*y**2 + 3604*y - 10823*y.\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4\/52 + (-4743)\/(-1209))\/(2\/(-19))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - 1) + -3 + (-48 - (-81 - -20))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26095 or 808917\/31?\nAnswer: 26095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/3)\/((-4)\/(-6)) + 8. Let t = -1354 + 2023. Suppose w = g - 4*g, 0 = 4*n + g - t. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9262 from -7152.1256.\nAnswer: -7153.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 10*o**2 + 11*o + 4. Determine r(-8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4029 is divided by 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10980 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10007*v**2 - 2697*v + 47085495 wrt v?\nAnswer: 20014*v - 2697","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 7 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -3, 465, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o - 3. Let b be i(-5). Suppose -b*h + h + 8 = 0. Which is smaller: h or 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1\/2)\/y)*y*(y*y**8\/y)\/y*y)**(9\/5) assuming y is positive.\nAnswer: y**(207\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzdzzzz. Give prob of picking 4 z.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253*p**2 - 100*p**5 - 402*p**6 - p - 224*p**6 + 100*p**5 wrt p?\nAnswer: -75120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 7 = 7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 4*j + 2*j)*(3 - 2 + 1).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*i + 11*i**2 + 2 - 9*i**2 in the form p*i + g*i**2 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2500, -4947, -7394?\nAnswer: -9841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*d - 0. Let v(b) = 9*b**2 + 11*b - 26. Is v(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34020 and 724626?\nAnswer: 7246260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j + 5924 - 5805 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141160157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6372 and 2700.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 53 - 143. Let y = z - -53. Let m(w) = 6 - 1 + 12 + w - 2*w. Determine m(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-780)\/26 + 62 + -18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**3 - 2*f**2 + 1. Let a be c(-1). Suppose -2*h - 4*u = 16, 2*u + 22 = -5*h - 26. Let t = -8 - h. Sort 1, a, t.\nAnswer: a, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1\/9, 2\/19, 2\/6411?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**4\/5 - 49*n**3\/5 - 48*n**2\/5 = 0?\nAnswer: -48, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 433\/6 - 72. Let h = -0.16 + 3.16. Put 5, b, h in decreasing order.\nAnswer: 5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 65*m**2. Let d(q) be the second derivative of 0 + 0*q**3 + 0*q**2 + 54*q + 1\/4*q**4. What is o(d(c))?\nAnswer: 585*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*g - 5*n - 4, -5*n - 5 = 5*g. Suppose -2*m = g*c - 9, 2*c - m - 6 = 4*m. Suppose p - 21 = -c*p - 5*j, -j - 30 = -3*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1 (b) -1 (c) -0.96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84, 476, 1564, 3690, 7196, 12424?\n\"Answer: 57*b**3 + 6*b**2 - 25*b + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17237724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 17 - -1 - (-9 - -9). Calculate the greatest common divisor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 357)\/16 - -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 12. Let q be b(16). Calculate the least common multiple of q\/(-4) - (-8 - 0) and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*h + 9, 3*h - 2*y - 4 = 3. Suppose h*v = 4*w + 2*v - 598, 3*w - 5*v = 457. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 2*f**2 + 2*f**2 + (58*f**2 - 153*f - 38*f - 60*f**2)*(4 - 1 - 2).\nAnswer: f**2 - 191*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xssj when four letters picked without replacement from lxllmsxjjssxxxjlsjxs.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 3*l - 1. Let k be s(2). Let p(d) = 2*d + 5. Let u be p(k). Solve 5*h + u = -y, -5*h - 2*y = -4*y + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9890\/17527 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, h: 3}. What is prob of sequence hah?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*-2)\/sqrt(9) - sqrt(56))\/(sqrt(200)*1) + (sqrt(77)*3*2)\/(sqrt(1331) - (sqrt(1331) - sqrt(1331)*3) - sqrt(1331)).\nAnswer: -18*sqrt(7)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 4*w**7\/21 + 29*w**6\/30 + 1003*w**3\/3 + 4*w - 71. Find the second derivative of o(t) wrt t.\nAnswer: 160*t**3 + 348*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15219 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3754 - 2830. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25616157 is divided by 2047.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 8*s + 5. Give q(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 9*j**2 - 3*j - 15. What is h(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1215771660 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 2*d + 8, 1953*m - 1950*m + 3*d - 42 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(208) + -3)**2 + (sqrt(208) + 4*(sqrt(208)*-1 - sqrt(208))**2 - sqrt(208)) - ((sqrt(208) + -3*sqrt(208)*5)*-4)**2.\nAnswer: -648743 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 18*s**2 + 106*s + 5. Let f be h(-6). Suppose 0*g - 3*g + 9 = 0. Solve 3*w - f = d, -2*d + 2*w - 29 = -g*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaddaadaddddaaaaddd. What is prob of picking 3 d?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 22 - 5. Let a = 24 + -19. Suppose 4*x + b = 33, 3*x + b = a*x - s. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 4568*b + 4570.\nAnswer: -2*(b - 1)*(b + 2285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23, 55, 87, 119?\n\"Answer: 32*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(432) - 2*4*sqrt(432)) + -3)**2.\nAnswer: 12096*sqrt(3) + 12192777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 - 173937632.\nAnswer: -173937556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 2d4e249?\nAnswer: -2d4e249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 35. What is the smallest common multiple of 10 and z(13)?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3584.016331 to 1 decimal place.\nAnswer: -3584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 151*t**2 - 856*t - 80. Determine f(145).\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(48) + 2*sqrt(12)*2 + sqrt(12))\/(((sqrt(4) - sqrt(8)\/sqrt(2))*-3 - sqrt(4)) + sqrt(64)*-2).\nAnswer: -13*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -69*r**6 - 8*r**3 + 71*r**2 - 8. Let w(h) = 23*h**6 + 3*h**3 - 24*h**2 + 3. Let q(s) = 8*w(s) + 3*x(s). Find the third derivative of q(g) wrt g.\nAnswer: -2760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 734 - 781 - (-82 + 0).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/360 - 11*r**4\/24 + r**3\/3 + 2*r**2. Let z(k) be the first derivative of p(k). Is z(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568532.858 rounded to the nearest 100?\nAnswer: 568500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(2 + o - 2 + (-3*o + 2*o + 0*o)*(-2 + 6 - 2)) + 19 - 39*o - 19.\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -18, -0.4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346\/459*9\/(-60)*-5*-6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 - q**3)*(13*q + 3*q - 6*q)*(-437*q - 690*q + 897*q).\nAnswer: -2300*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*3*sqrt(4719))\/(-3*-2*sqrt(9)\/sqrt(3)) + 0)**2.\nAnswer: 39325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147 + 150. Put -1, -7, z in descending order.\nAnswer: z, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2 = 8. Differentiate n - 4*c**3 - 1 + 3*c**3 - 2*c**3 with respect to c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**3 - 2642*h**2 - 871198*h + 873842 = 0.\nAnswer: -661, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 1066*y**4 + 28023*y**3 - 74544*y**2 - 4228*y + 99408 = 0.\nAnswer: -1, 2, 76\/3, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 2, t: 1, n: 3, v: 1}. What is prob of picking 1 v and 1 q?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 1751 and 0.1.\nAnswer: 1751.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = -2*x, 31*o - 4*x = 26*o + 6. Solve -2*s + 3*t = -5, 2*s + 9 = -t + o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31529 times 1.87\nAnswer: 58959.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23739806 minus -31.1?\nAnswer: -23739774.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + 0.34. Let j = -47\/80 - -3\/16. Which is the closest to 0.1? (a) -1 (b) j (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 466\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -0*l - 2*l. Suppose 0*f = -f - l. Round f to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -4*y + 9*t + 16, -y + t + 3 = 0. Solve -8*d - 1 - y = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((140\/(-21))\/(-5) + -6)*1*-60. What is the highest common factor of 120 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 89 - 84a4?\nAnswer: -8416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16366.72 rounded to the nearest 100?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 7) to base 14\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 129\/3071?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) + -5*sqrt(66)*3 - sqrt(66) - sqrt(66)))\/(sqrt(294)*2) - (3*sqrt(132)*-1)\/(sqrt(588)*6).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v - 11 = 322 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + 22\/8. Suppose 0 = 3*r + 2*x + 37 - 11, -6 = -s*x. What is the common denominator of 119\/10 and r\/(-4)*(-17)\/(-40)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (31\/(-62))\/(1\/(-8)). Suppose -s*x = a - 24, -x + 10 = x + a. Solve -1 = -4*r + x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 190*y**2 - 5*y + 9430 wrt y?\nAnswer: 380*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*g**3 - 3854552886*g + 3854552886*g.\nAnswer: -174*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(23\/5)*(((a\/a**(-1\/4))\/a)\/a)**4 assuming a is positive.\nAnswer: a**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -v - 5*c - 8, -2*c + 11 = -v. Let p be (-1)\/3 - (-92)\/v. Let w = -21 - p. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59179.\nAnswer: 23, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 585139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -17\/210*z**7 + 7*z**2 + 0 + 0*z**5 - 2\/3*z**4 + 0*z + 0*z**6 + 0*z**3. Find the second derivative of u(k) wrt k.\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 - 252. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/2349 - (-8 + (-91674)\/(-11421))?\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*j**3 - 16012*j**2*n - 1714420*n wrt j.\nAnswer: 75*j**2 - 32024*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Suppose y = -p - 2*p. What is the smallest value in -0.1, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/3, 1, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {z: 1, y: 1, q: 1, p: 2, j: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**5 + 10*c**4 + 98*c**3 + 178*c**2 + 122*c + 28 = 0. What is c?\nAnswer: -2, -1, -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -39*a + 23. Let t be i(2). What is the hundreds digit of (-5)\/3*-3*(-3344)\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -194, -192?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -113 + 50 - -114 - (4 - 7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 2185\/26?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210)*-2 - sqrt(210))\/sqrt(6) + sqrt(4235) + -1*sqrt(4235))*-5)\/((-3*sqrt(14))\/sqrt(2) - (sqrt(7) - (sqrt(175) - 1*sqrt(175)) - sqrt(7))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 4, -8 in descending order.\nAnswer: 165, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (420\/(-735))\/((-2)\/53921)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9074.406 to the nearest one hundred.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(176) - (((sqrt(176)*2 - sqrt(176)) + sqrt(176) - sqrt(176)) + 0))**2 - (sqrt(176) + 2 + -1 - ((-2*sqrt(176))**2 + -3)).\nAnswer: -4*sqrt(11) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuukuk. Give prob of picking 3 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**1\/w)\/w))**(31\/3)\/(((w\/(w**(-2\/9)*w))\/w)\/(w**(2\/15)*w)) assuming w is positive.\nAnswer: w**(551\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333 - 168 - 6*h - 106 + 6*h + 8*h.\nAnswer: 8*h + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -539 + 564. Which is the closest to g? (a) 0.3 (b) 0.2 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1360 and 13753?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 20*s**2 + 5*s - 38. Suppose 4*u + 7*u = 143. Is n(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-45)\/(-180)*16\/6. Let n be ((-18)\/(-15))\/((-15)\/(-5)). Sort 0, 1, s, n in increasing order.\nAnswer: 0, n, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1146584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(700\/(-84)))\/(3*(-1)\/4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqqbp. What is prob of picking 1 q and 2 b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10358294279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-47 - 0) - -59.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**7\/210 - 23*n**5\/60 - 19*n**3\/2 - 2*n**2 + 23. Differentiate j(z) wrt z.\nAnswer: 4*z**3 - 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -685*x**2 - 429*x - 396*x + 184*x + 57 - 351*x - 59 wrt x?\nAnswer: -1370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 22*s - 9. Let h be y(-21). Suppose -2*j - j = h. Let z be (1 - 2\/(-4))\/((-2)\/j). Calculate the highest common factor of 21 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1221 - -1224. Let a(x) = x**2 + x - 7. Let f be a(-5). Solve 5*k + 15 = y - 0, 5*y = r*k - f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 6*r**2 + 3*r + 7. Let h be o(5). Let q be 51*(1 - h\/9). What is q rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-20) - (-188)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8502922 is divided by 630?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**3 + 117*g**2 + 2*g - 29. Determine y(-11).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35, -152, -349, -626, -983, -1420?\n\"Answer: -40*h**2 + 3*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 4*z**2 - 17*z - 14. What is b(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = -4*x - 3*v, 4*x = 6*x + 4*v - 70. Suppose -3*d = 2*d - f - x, 0 = 4*f + 20. What is the remainder when 11 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 + 48. Suppose 121 = 5*z - 4*s, 3*s - j = 2*z - 70. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*k = 2, 5*l - 17 = -5*k + 13. Differentiate 8 - l*p + p - 2*p + 0*p wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/636 and 73\/589668.\nAnswer: 31252404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*(-9)\/(-6)*1. Suppose 0 = 3*b - 5*s - x, -3*b + s + 0 = -6. Solve -2 = r + b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 4 = 27*r. What is the lowest common multiple of ((-10)\/1)\/2 - (-11 + r) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 2\/3 (b) 0 (c) 3\/28 (d) 2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1441\/170 - -309\/17. What is the common denominator of f and 121\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 32.4038926.\nAnswer: 9.72116778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 418 and 1881.\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.08 (b) 34 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -5*y**4\/6 + 4*y**3\/9 + 25. Factor t(f).\nAnswer: -2*f**2*(5*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 18 = 2. Let c = 24 + x. Suppose -d - 3*d - 160 = -c*v, 0 = -4*v - 5*d + 187. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 - 7*q - 10. Let l be f(-4). Suppose -l*t - 4 + 50 = 0. Suppose -t - 4 = -3*b. Calculate the greatest common factor of b and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*4\/(-30)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 4*k + k**3 - 2 - 7*k**2 - 3*k. Let z be c(-6). Suppose 0 = 5*m - 3*m - 36. Solve -6 = -z*a - m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -133 + -2?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187645\/1588646 - 69\/586. Which is the fifth biggest value? (a) l (b) -2\/5 (c) 1\/7 (d) -1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202012122 + -1?\nAnswer: -202012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0622 + -320.0622. Let x = -318 - q. Sort 0.2, -4, x in decreasing order.\nAnswer: x, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356910643 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-12)*41 - (-4)\/6. What is the common denominator of 49 and 68\/(-6) + (-15 - j - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2 = -z. Solve -4*d + z*d = -2*g - 14, -2*d = -10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -294114*n**3*s**3 + 2*n**3 - 2*n**2 - n*s**4 + 762*n - 33 wrt s?\nAnswer: -882342*n**3*s**2 - 4*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -y + 18, 0 = 4*y + w - 2*w - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006322831039 rounded to 6 decimal places?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1012, 0, -1 in decreasing order.\nAnswer: 0, -1, -1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 39, 25 in decreasing order.\nAnswer: 39, 25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 1443.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 1:10 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 + 64*b**2 + 23*b + 5. Give c(-21).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*q - 868 = -953*q + 496*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-464*l + 1 + 285*l + 2)*(-2 - 2 + 0) to the form h*l + m and give h.\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2. Let d(b) be the second derivative of b**4\/12 + b**2\/2 + b. Let s(m) be the first derivative of d(m). Give x(s(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -18391, 37 in decreasing order.\nAnswer: 37, -21, -18391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1044*r + 12523. Determine t(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227 a factor of 134722028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 8*x + 6 - 7*x)*(x + 1 - 1) to d + q*x + f*x**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.989 + -29. Let d = 0.089 - f. What is the third smallest value in -10, -2\/3, 0.06, d?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 332800235\/9 or 36977804?\nAnswer: 332800235\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -99 + 1\/4*p**4 + 32*p - 10\/3*p**3 + 3\/2*p**2. What is the second derivative of q(t) wrt t?\nAnswer: 6*t - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 50, 100, 170, 266, 394, 560?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 93810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-60))\/1)\/(-1155*285\/(-423225))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dliddddddidlddildddi. Give prob of sequence dl.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*v + 3*g, -4*v - 49 = 5*g - 2*g. Suppose 2*y = -y - 3, -2*k = y - 7. Let n be 3\/(-12) - v\/k. Solve 5*a - 10 = 2*m, 2*m = -n*a + 5*m - 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1224009.09 seconds?\nAnswer: 14.166771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-20)\/80*(-80)\/165.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121 + -21000100010?\nAnswer: -21000020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -172*s - 309. Is h(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1707*n + 965. Give x(1).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000274738 rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17\/5 - 79\/10. What is the common denominator of m and 561\/(-180) + 6\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.11, -4, 0?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -78*x - 33\/2*x**3 + 101\/2*x**2 + 0. Find the first derivative of p(g) wrt g.\nAnswer: -99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -25*q - 848. Let x be t(-34). Suppose -b = -3 + 1. Let v(l) = -1. Let w(s) = s**3. What is b*v(c) + x*w(c)?\nAnswer: 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(297)*3 - sqrt(297))\/(sqrt(225)*2))\/((5*(sqrt(1331) - sqrt(1331)*-4) - sqrt(1331))*-4).\nAnswer: sqrt(3)\/1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 6 = 2. Let i = 5 - 2. Sort t, i, -5 in increasing order.\nAnswer: -5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31460)\/(-2200) - 330\/20\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178*g**2*h**2 - g**2*h + 1026*g*h**2 - 2*g*h + 2*h**2 + h wrt g?\nAnswer: 356*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2016193?\nAnswer: 3\/2016193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let l(t) be the first derivative of t - 3131. Determine -b(d) - 2*l(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*t - 5, -2*r - 7 = -4*t + 23. Let a(l) = -l + 1. Let g be a(-1). Suppose g*p - 43 = -t*q + 20, -5*p = -3*q - 204. Is 39 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 14. Let f = o - 5. Let n be (-20)\/24 - f\/5. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4669.0025 - -4673. Round m to 1 dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9333 + -8550. Calculate the remainder when b is divided by 78.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2704310082?\nAnswer: 2, 3, 107, 1404107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139505 is divided by 3219?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2. Let k be y(1). Let w be k + (-14)\/(-8) - 391\/(-92). Solve a + 1 = w*v - 4, 0 = 4*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-21))\/(1\/3). Let v = 3 - g. Suppose v*i + 0*i - 18 = 2*l, 9 = 2*i + l. Put i, -2, -1 in descending order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5166\/492*((-1)\/3*-8)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 3*a**2 + 7*a**2 - 7*a**2 - 3 - 5*a**2 to the form i*a + l*a**2 + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t + 9. Let p(w) = 7*w + 10. Let j(b) = -6*f(b) + 5*p(b). Let l be j(3). What are the prime factors of ((-2)\/6)\/(l\/1071)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**14*l)**44 assuming l is positive.\nAnswer: l**660","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57331 divided by 57331.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 25*l**2 - 45*l + 31. Calculate i(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = 3*y + 31, -3*i + 5*y - 45 = 0. Let g be (-1251)\/(-6) + 4\/(-8). What is the common denominator of ((-16)\/(-32))\/(i\/g) and 3\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 3012120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 17*k**3 + 4*k**2 - 109*k + 14. Let j(a) = -15*a**3 - 3*a**2 + 109*a - 10. Calculate -4*j(q) - 3*n(q).\nAnswer: 9*q**3 - 109*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -80*m - 190. Let z be a(-10). Let j = -606 + z. Solve -j - 2 = -6*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0*h + 11*h)*(401*h - 49*h + 217*h).\nAnswer: 6259*h**2 + 569*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -242 in -4, 2\/11, -2, -1\/7, 58.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from qqqf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 2*p**2 - 1. Let i be s(1). Suppose d = -0*d. Solve -i*q = -d*q + 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 28 = 7*y. Suppose 0 = 5*n - y*w - 381, n + 0*w = w + 78. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-7)\/i)*(((i*i*i\/(i*i*i**(-1\/5)*i)*i)\/i)\/i*i)\/i*i)**(-3)*(i**(2\/9)\/i)\/((i\/(i*i**(-7)))\/i)*i**2*i**2 assuming i is positive.\nAnswer: i**(-1367\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -180, 1, 4, -3 in increasing order.\nAnswer: -180, -3, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqf when three letters picked without replacement from pqpqf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 2*q**2 + 8*q - 13. Let m(k) = 3*k**3 + k**2 + 4*k - 7. Let j(p) = 6*h(p) - 11*m(p). Let y be j(-2). Let g = 1 + y. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.1 - -0.7. Let y = 1 + r. Let s = y + -6. Sort 3\/4, s, 2 in increasing order.\nAnswer: s, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -5 + -1 + 7. List the prime factors of 20\/30*(22 + n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 11*v**2 + 11*v - 3. Let y be h(8). Let g = y - 448. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011111 (base 2) to base 14.\nAnswer: -11d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 15*t + 48*t + 26*t - 113*t.\nAnswer: -24*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 6*h**5\/11 + 3759890*h**4\/11 + 5013126*h**3\/11 - 31332298*h**2\/11 + 32585628*h\/11 - 10026352\/11 = 0.\nAnswer: -626647, -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -92.555931 and -51?\nAnswer: 41.555931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630*g - 4 = 628*g. Suppose 0*c + 3*c - 9 = -g*v, 9 = 3*c - 2*v. Solve -2\/11*p**4 + 0*p**c + 4\/11*p + 6\/11*p**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 11. Let v(b) = -b - 6. Let o(q) = -5*v(q) + 3*z(q). Let x be o(-4). Let y = 10 - x. What is the remainder when 16 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5 = -120. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - w + 48 = -20, 5*w - 88 = -3*u. Let c = 35 - u. Let i be 2 + -2 + (-1 - -1). Put c, i, 3 in decreasing order.\nAnswer: 3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**3 - 36*r**2 + 56*r = 0.\nAnswer: 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 215 = 6*t. Let i = t - -18. List the prime factors of i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.016 + -60.016. Let d = k - -58. Which is the closest to d? (a) 3\/7 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from vvrooiivofwoo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3278705.\nAnswer: 5, 17, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 215308 divided by 1109?\nAnswer: 215308\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7620, -15204, -22822, -30474, -38160, -45880, -53634?\n\"Answer: -17*s**2 - 7533*s - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61453 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3908, 4, -2\/5, -1\/2, -3\/4, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -14. What is the greatest common factor of g and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5385.96749+2.4198\nAnswer: -5383.54769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 29. Find the common denominator of (9\/(-5))\/(h\/100) and (9\/36)\/((-18)\/248).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -0.533. Let y = c + -0.067. What is the closest to y in -0.3, 2\/13, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*z + 82*z - 313*z + 75*z + 73*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 11*c. Let u be v(11). Solve 2*z - 12 = 5*l + 16, -5*l - 20 = u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 - -118. Let l = -0.1 - -0.2. Which is the nearest to l? (a) 2\/17 (b) r (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1*2\/10*-5*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 11*t + 4. Let b be a(11). Find the third derivative of r**2 - b*r**2 - 2*r**2 + 6*r**5 + 6*r**2 wrt r.\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1880418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1682*u + 6156*u - 116*u to the form m + y*u and give y.\nAnswer: 4358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/4)*g*g\/g**(-4\/25))**(-1) assuming g is positive.\nAnswer: g**(-91\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:31 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1058407 from 6765254.\nAnswer: 5706847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02093 + -0.07907. Which is the third smallest value? (a) 0.5 (b) -612\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9216 + 30*a + 4637 + 4579.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a126 (base 16) in base 7?\nAnswer: 4543545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*j**3 - j + 30*j**3 + 2*j + j**2 as x*j**3 + r + b*j + l*j**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - x + 6 = 0, x + 1 = j + 6. Let o = 5 + j. Suppose 5*p = 3*l + 15, -24 = p + 5*l + 1. Solve 4*i + p*i + o = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 11:28 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(3 - (385\/(-42) + 9)). Let q(x) be the second derivative of 0*x**3 - m*x**2 + 0*x**4 - 1\/10*x**5 + 0 + 16*x. Find the first derivative of q(o) wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6619 less than -8.2057?\nAnswer: -33.8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) -110 (c) 2\/33 (d) 2 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*s - 151 = 91, 0 = 2*s + 8. Let d = -153 + k. Calculate the remainder when d is divided by (216\/126)\/((-4)\/(-42)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*2 + sqrt(36)\/(sqrt(6)*2))\/((1*(sqrt(48) - sqrt(3)) - sqrt(3)) + (sqrt(3) - sqrt(75)*2)).\nAnswer: -33*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - -0.2. Let j = -139.8 - 141.2. Let z = j - -277. Sort c, 0.5, z in decreasing order.\nAnswer: 0.5, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2) - (-12)\/2. Suppose 2*r - v = -2*q, -2*r = -2*q - 0 - 4. Solve -o + 0*o = -q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((sqrt(104) - sqrt(104)*-2 - sqrt(104)) + sqrt(104) - sqrt(104)) + sqrt(104))\/sqrt(8) + 4 + (sqrt(52)\/sqrt(4))**2) + 3.\nAnswer: 9*sqrt(13) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*p = 7, 17*p = -3*t + 20*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/616 and 85\/63364.\nAnswer: 1394008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2 - 6 + 5 + 4*u**2 - 10. Let y(b) be the second derivative of 0 - 1\/12*b**4 - b**2 - 4*b + 0*b**3. Give -2*l(t) + 11*y(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/2*((-893)\/57 + 16). Let k(a) = 4*a**2 + a + 3. Let t = -4 - -6. Let d(v) = t - 4 - v**2 - v + 1. Give z*d(i) - k(i).\nAnswer: -i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 60 (c) -33.11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3821.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -1124?\nAnswer: 19\/1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c**2 + 3*c - 5. Let d be f(-5). Suppose 4 = d*x - 66. What is the second derivative of -14*z**3 + x*z + 6*z**3 - 11*z**3 wrt z?\nAnswer: -114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 22*f - 19 = 24*f, -3*c = 2*f - 23. Solve 6*d + 13 = c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose c*a - 26 = -2. Let l be 4 + ((-8)\/(-10))\/((-4)\/20). Solve d = 6*d - j, l = 2*d + 2*j + a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40576 is divided by 354?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.4278 + -0.1858. Let w = i + -0.042. Let k = w - 5.20092. Round k to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*f**3 + 7816867*f**2 + 91745003*f.\nAnswer: 54*f + 15633734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(162) - (0 + 1*sqrt(162)))*-6)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -14*j + 103. Let v be c(7). Solve 3*s = -0*w + w + v, 4*s = 5*w + 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**4 - 264*j**3 - 267*j**2 = 0.\nAnswer: -1, 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, g: 5}. Give prob of picking 2 q.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11330245879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -88, -133, -176, -217, -256, -293?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342\/(-66) - (-10)\/55.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5\/(-4)*(7\/(-7) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 19756*l**2 + 824460*l - 8638308.\nAnswer: 4*(l - 4897)*(l - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104729653 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 + 62*n**2 + 4*n**2 - 14*n**2.\nAnswer: 74*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.13. Let s = g + -0.23. Let z be 9\/(-3) - (-9)\/4. Which is the closest to s? (a) 4 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.09 - 0.24. Let h = r + 0.05. Let m = h + 0.1. Which is the nearest to m? (a) -1\/9 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 420b3 + 5?\nAnswer: 420b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 11. Suppose 3*o + 2*n - 34 = 13, -5*n + g = o. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2159, 2158, 2157, 2156?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + 2 + (4 + -4 + sqrt(27) + 5)**2 + -3.\nAnswer: 30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbttbtttbttt. What is prob of sequence bbb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5 + (9 - 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - n**2 + n**2)*(13*n + 8*n - 6*n) + (-1 + 1 - 4*n)*(0*n**2 - 2*n**2 - 3*n**2) + (n**2 - 5*n**2 + 3*n**2)*(-2*n + 4 - 4).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 14005620?\nAnswer: 14005615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 0.39.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 5. Let x be d(-7). Let a = -158 + 160. Solve 0 = a*o - 0 - x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676519 divided by 3.\nAnswer: -676519\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 3672*w - 842724.\nAnswer: -4*(w - 459)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*r + 6094 = 1045*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2 - 2 + 11*i**4 + 60*i - 9*i**4 + 4 - 11*i**3 to t*i**2 + l*i + p + q*i**3 + z*i**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p + 26*p - 56*p + 15*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 * 0.05297.\nAnswer: 0.74158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 0, -n = -z - 3*z - 28. Let r = -1785 + 1785.1. Put z, -1, 3\/4, r in decreasing order.\nAnswer: 3\/4, r, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 229744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -4. Which is the closest to -1? (a) -9 (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27f92 (base 16) to base 8.\nAnswer: 477622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z + 50. Determine l(20).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-28)*(-217)\/620.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -53*y - 475. Let f be w(-9). Solve f*h = -3*h - 3*o - 10, -h - 2 = o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in 4\/5, 4, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 42 + 73 + 196 + -249\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 8:57 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 28*d**2 - 60*d - 850. Determine n(-29).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 13\/60*l**5 + 0*l + 0*l**3 + 0 + 51*l**2 + 1\/8*l**4. What is the second derivative of k(j) wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10*y**3 + 3*y**2 + 2*y + 2. What is o(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*o - 32, 3*o - f + 5*f = 13. Let y be 21\/o*(2 - 1). Let h(s) = -s**2 + 2 - 4 + y. Give h(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1794900 to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119228*t + 119228*t + 13*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 + 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -368 divided by 5?\nAnswer: -368\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/5 + 2 + -977 + 993.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8694*v**3 - 4333*v**3 - 4363*v**3 - 2*v**2 + v**4 - 58*v in the form f + a*v**4 + m*v**3 + z*v**2 + j*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*f + 12, 3*d + 3*f + 8 = 2*f. Let j(x) = -3*x**2 + 2*x - 1. Let u be j(1). Let t = d - u. Sort 6, -5, t.\nAnswer: -5, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**2 + 35 - 38 + h**2 + 3*h**2 - 3*h**2 + 2*h - 158*h**3 to the form a + s*h + z*h**3 + j*h**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -791*f**3*k**3 - 4*f**2*k**3 - 4*f**2 + 160*f*k**3 wrt f?\nAnswer: -4746*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028007076 to 7 decimal places.\nAnswer: -0.0002801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-5))\/((-34)\/85). Solve w*l = -a - 5, 5*l = -a - 6 + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -41.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.6? (a) -3 (b) -0.5 (c) 5\/3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jttj when four letters picked without replacement from {j: 2, b: 1, o: 5, t: 4, i: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 20, 41, 70?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-10 - 16)) + -1 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-2)\/(-32))\/((-198189)\/4332)\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 387*o - 7356. Let j be x(19). Which is the nearest to j? (a) -0.5 (b) 27\/2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/645*6*(1 - 0). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 7:36 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyhhyyyyyyy. What is prob of picking 3 y?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pscj when four letters picked without replacement from {p: 5, j: 1, s: 11, c: 2}?\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 350276*h**4*t**2 + h**4*t - 149*h*t**2 + 333*t**2 wrt h?\nAnswer: 4203312*h**2*t**2 + 12*h**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5313 and 1061841.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 185*c. Let s(q) = 4*q + 6. Let j(x) = -3*x - 6. Let h(y) = j(y) + s(y). Give l(h(m)).\nAnswer: 185*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-18) - 102\/36?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3. Let s be -8 + 2 - (-1 - v). Put -2, s, -6 in descending order.\nAnswer: -2, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -21. Let q be (30\/16)\/((-15)\/r). What is the nearest to -1 in -0.5, q, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7476559 and -7476560 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let n be b(-1). Let j be n - 4\/(-3 + 1). Let w(o) = 4*o**2 + o**j - 3*o**2. Let y(i) = 2*i**2. Give y(w(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-5)\/30)\/(7\/133)*(-6)\/(-2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7*(-4 + (-150)\/(-35)). Let j be ((-4)\/12)\/(f - 75\/36). Find the second derivative of 197*h - 18*h**4 + 4 - j - 214*h wrt h.\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/184822 and 61\/806?\nAnswer: 2402686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**4 + 0*c**4 - 5*c**4 + (0*c**3 + 0*c**3 - c**3)*(4*c - 3*c + c) + 6*c**3 - 12*c**4 - 6*c**3 as r*c**2 + x*c**4 + u*c + k + d*c**3 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 2. Let t be b(5). Suppose t*v = 13 - 4. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 + (5 - -19) + 37.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-15))**(-3\/32)*(p*p\/(p\/(p\/p**(9\/2))))\/(p*p\/p**(7\/6)))**(-44) assuming p is positive.\nAnswer: p**(2233\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and -3.7369787?\nAnswer: 3.8069787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -694 (b) 1 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-425)\/(-75))\/(1\/33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -6054730?\nAnswer: -6054735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 150\/20*4\/30*6. Solve g = -5*y - 2*g + 17, -2*y + j = g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15894173467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 2)\/(6\/(-10)). Suppose -q*p + 4*n = -8 + 1, -3*n + 21 = 5*p. Suppose 545*b - 554*b = -81. Solve 4*t - p = b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -23*j - 3. Suppose -2 = 13*q - 12*q. Let k be w(q). Let u = -28 + k. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101113.\nAnswer: 101113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bib when three letters picked without replacement from {b: 12, i: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24696.483 nanoseconds to minutes.\nAnswer: 0.00000041160805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200.33 - 875.33. Which is the second smallest value? (a) 3 (b) -2\/13 (c) 2 (d) y (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197\/935 + -2\/187. Suppose 474 = -769*t + 1006*t. Factor 2\/5*h**3 - 1\/5*h + 0 + f*h**t.\nAnswer: h*(h + 1)*(2*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12202108 is divided by 258.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by -3?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**2 - 224*f + 3784.\nAnswer: -2*(f + 22)*(9*f - 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(15\/260)*-2. Let f be (-1)\/((-102)\/(-52) + -2). Let m be (f\/h)\/(2\/12). Solve -4*o = 5*w - 20, 2*o = -m*o + 3*w + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 434 and 31.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4, 9, -62, -15 in increasing order.\nAnswer: -62, -15, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/2 and 3\/3 - 158\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.039.\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4199\/(-663)*(-2646)\/6517.\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 8*c**2 + 5*c + 9. Let u be j(-7). Let x = u + -13. Suppose 0 = 2*a + 3*a + 10, z - x = 2*a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/(-14) + (-6)\/(-21). Suppose 0 = -2*i - 4*z - 12, -9 - q = 2*i + 5*z. Let w = 8 + -5. Solve 0 = w*p + 4*a - 3, -5*p + i*p + 4*a = -37 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*v + 1960. Let c = v + 569. What is the greatest common divisor of c and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 24*h - 352. Calculate the least common multiple of v(18) and 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4 and 81\/2900.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(3 - 5 + 8)*(-5*o + 4*o + 4*o) in the form y + c*o and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(3 + sqrt(396)) - sqrt(396))*-2 - (5 + sqrt(396)*-3)*-6)**2*-6.\nAnswer: -64152 + 19008*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3231 or -151924\/47?\nAnswer: -151924\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -119*d + 467 - 30*d + 17*d - 114*d - 112*d wrt d?\nAnswer: -358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2656, 2707, 2796, 2923, 3088, 3291?\n\"Answer: 19*o**2 - 6*o + 2643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1441 and 917.\nAnswer: 10087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1035771080*x**2 - 553067772*x wrt x.\nAnswer: 2071542160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 741 + 149 = -2*u, -5*u = b - 1486. What are the prime factors of u?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) 2\/73 (c) -1\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -162 (base 7) to base 2\nAnswer: -1011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72387 is divided by 489.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/(-5) + 6\/15. Suppose 6*g + d = -4. Is 86 + -1 + 4\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265 + 339 - (16 + -12 - (0 + -8)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**3\/3 - 11*y**2\/2 - 8*y. Differentiate x(n) with respect to n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6420 or 6028?\nAnswer: 6420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzczzzzzzzcczzzzc. Give prob of picking 2 z and 2 c.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 22*f**2 + 9*f - 5. Let r be -1 - (3\/2 + 20\/8). List the prime factors of m(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/n**(1\/33)*n*n)\/n*n**22)\/(n**(3\/8))**(-16\/9) assuming n is positive.\nAnswer: n**(293\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 12:51 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21494 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 3*c + 5, c + 2 = -2*p + 3*c. What is the units digit of -5*(56\/(-20) - p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21527 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 25 (b) 6 (c) -5 (d) 2\/15 (e) -153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.3 + 53. What is y rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 6:44 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a0 + 36?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5 + 57*m**4 - 63*m**3 - 57*m**2 + 60*m = 0 for m.\nAnswer: -20, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.249738452 rounded to five dps?\nAnswer: 0.24974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - a = 10*n + 2786, -5*n + 4*a + 13926 = 0. List the prime factors of n.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -19*v. Let x(y) = -y. Determine z(x(a)).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 178.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*v = -384, -3*n + 0*n = -4*v + 291. Let y = -38 - n. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2. Let x(a) = 9453*a. What is x(i(b))?\nAnswer: -28359*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 87 = 25. Let d be (-21)\/3 - (0 + -1). Let f be (-95)\/d + (-6)\/(-36). What is the highest common divisor of f and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3 + (3 - 2 + 0)*(-1 - 1 + 3) + 0 + 2 - 4)*(-3*d**3 - d + d) - 3*d**3 + 5*d**3 + d**3.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 5 + 3. Let i be -10*v*(-2)\/(-8). Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 3*j**2 - j + 3. Let t be q(-3). Calculate the highest common factor of t and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 432\/5?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -444, -354, 720, 3270, 7788?\n\"Answer: 82*n**3 - 484*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*(4 + -14)*(42\/(-10) + (-4)\/(-1)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 763 - 589. Is h > 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0047 - 31.6953. Let s = n - -31.7201. Let c = s - 0.0200787. Round c to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10306 is divided by 343.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 5. Let g be s(7). Does 15 divide 0 + g - (-25 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 - -94. Let m = 34 - 16. What is the greatest common divisor of m and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47\/36 + 14\/9. What is the closest to r in 2\/3, 1\/3, -3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 11*k + 2650. Suppose 3*o - 16 + 1 = 0, -5*l - 2*o = -k. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/95934 and 155\/4602.\nAnswer: 1247142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-658) - 3678\/1128.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -6*c + 245. Let b be ((-26)\/22 - (-8)\/c)*-7. Find the second derivative of 807*g**3 + 6*g + b*g - 811*g**3 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, -18, 5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 255 + -254. Let c = -12 - -13. What is the closest to c in 0.1, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2500 + -209. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.14. Which is bigger: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*m + 1035 + 7370, -m + u = -4206. List the prime factors of m.\nAnswer: 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -15*k. Let s(l) = -2*l**2 + 8*l. Give n(s(z)).\nAnswer: 30*z**2 - 120*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*r + 3*d, 0 = 5*r + 3*d + d - 68. Let g = r - 2. Let k = g + -5. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -223 - -130. Let n = 427 + o. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0*k**6 + 0*k**5 + 0 - 1\/14*k**7 + 1\/6*k**3 - 3*k + 0*k**4 + 0*k**2. Find the second derivative of g(f) wrt f.\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 3*m + 19*g - 2475, 5*g + 2475 = 3*m. Is 13 a factor of 5 - 2*(m\/(-6) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v + 6632 - 1046. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2709.5941 + -2706.1. Let a = -0.0841 + t. Round a to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94873 is divided by 759.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -294*a**3 + 28*a**2 - 14*a - 14. Let s(j) = -59*j**3 + 6*j**2 - 3*j - 3. Calculate 3*g(p) - 14*s(p).\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 99048 to the power of 1\/2, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49.952 - -0.048. Let o = -28 + p. Let d = 21.999951 - o. What is d rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13806 and 22.\nAnswer: 151866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 65*l + 341. Give z(-59).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**9\/7560 - w**5\/60 - w**4\/24 - w**2. Let v(n) be the second derivative of l(n). Find the first derivative of v(d) wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138266173 rounded to 3 decimal places?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -735.1 * 4\nAnswer: -2940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 343714?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from waxtxxttwattxaa. What is prob of picking 2 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -95, 1 in descending order.\nAnswer: 1, -17, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 558 and 310.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 15 = 3*z. Suppose 2825*t - 1308*t = 1300*t. Suppose -3\/2*i**z + 3\/4*i**4 - 3*i**2 + 6*i + t = 0. What is i?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 2*y**3\/3 + 19*y**2 - 2*y + 9. Calculate the smallest common multiple of v(-5) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -9*n**4 + 330*n**3 + 10472*n**2 + 9430*n - 670719 = 0.\nAnswer: -41\/3, 7, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:40 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**4 - 22*k**3 - 60*k**2 - 24*k. Let t(d) = 5*d**4 + 65*d**3 + 188*d**2 + 72*d. Let b(u) = 7*j(u) + 2*t(u). Factor b(g).\nAnswer: -4*g*(g + 1)*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4716, -9355, -13992, -18627?\n\"Answer: p**2 - 4642*p - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, s: 2, t: 4}. What is prob of sequence titt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 196732568 to the power of 1\/2, to the nearest integer?\nAnswer: 14026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6859.41018 rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3 + sqrt(704))**2 + 2 + 4.\nAnswer: 48*sqrt(11) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 1 + sqrt(13) + 4.\nAnswer: 5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/3 - 1. Let o be (-4)\/8 + 19\/2. Suppose 4*q = -3 - o. Put 0, q, t in descending order.\nAnswer: 0, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -160, -212, -266, -322, -380, -440?\n\"Answer: -w**2 - 47*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(7\/4)*b\/b**8*b*(b*b*b**(1\/3)\/b)**(4\/5) assuming b is positive.\nAnswer: b**(-191\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58506 by 398.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 172998\nAnswer: -1\/172998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 732800149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2489 is divided by (28 - 33) + (0 - -35)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5 + 65*m**4\/2 + 79*m**3\/2 - 417*m**2\/2 + 307*m\/2 - 20 = 0. What is m?\nAnswer: -8, -5, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -286 + 1728. Let w = 1570.81 - g. Let q = w - 128. Round q to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 376\/(-11)*-1 + (-2)\/11. What is the greatest common factor of v and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -123*j - 15. Let a be b(4). Let u = a - -957. Does 90 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3 = c, 21*v = 2*c + 25*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d - 305*d - 7324 - 9318 + 1549 = 0 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x - 391. Let a(p) = -6*p - 390. What is 5*a(q) - 4*j(q)?\nAnswer: -2*q - 386","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -553*k + 51772 = -549*k - 4*u, k - 12922 = 4*u. What are the prime factors of k?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*z - 1)*(-1 + 3 - 3)*(2*z + z - 7*z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + c = -17, 11 = -8*d + 6*d - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/4)\/w)\/w*w)**29\/(w**(-1\/5))**(1\/12))**(5\/3))**(39\/7) assuming w is positive.\nAnswer: w**(-4238\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.166 - -153.166. Let g = 148 - j. Put g, -6, 5 in descending order.\nAnswer: 5, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10d1 (base 14) in base 10?\nAnswer: -2927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3267136 is divided by 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-846)\/(-235))\/(9\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-340)*(-3)\/(-12)*-6.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by -6.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3432091 is divided by 209.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76.70075 litres?\nAnswer: 76700.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (751 - 897) + -4 + 14.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/42178428 and 41\/12497312.\nAnswer: 337427424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 13) + 87 + -9 + (-2 - 3)\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8472294 divided by -9.\nAnswer: 941366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*m - 133 = 123. Solve -13 = m*p - 17*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4815298?\nAnswer: 2, 131, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 410, 979, 1786, 2825, 4090?\nAnswer: 5575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.9 + 78.9. Let p = x + -69.13. Let u = 0.13 + p. Sort 0.2, u, -0.4.\nAnswer: u, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36, -43, -50?\n\"Answer: -7*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37*16\/(-101232)*18.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 3*i - 5. Let v be z(-2). Suppose -2 = -5*k + 18. Let w = -4 - -8. Solve -q - w*q = v*g, g = -k*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 + 1. Let q be a(1). Let j(h) = h**3 + 6*h**2 - 10*h - 8. Let t be j(q). Let s = t - 44. Solve 2*u + 6 = y - 0, u = -5*y + s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 559270.\nAnswer: 10066860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -1342, 6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -67*j - 1. Let v(a) be the first derivative of a**3\/3 - 2*a**2 - a - 18. Let o be v(0). What is the tens digit of t(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1706, 5308, 8910?\nAnswer: 12512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*d**3 - 57*d**3 + 126*d**3)*(4*d**2 - 3*d**2 + 0*d**2).\nAnswer: 30*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 4*l**2\/7 - 13*l\/7 + 10\/7 = 0. Calculate l.\nAnswer: -10\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1 and -3748.7.\nAnswer: -3747.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-7 - -1)*(-15)\/(-225)). Solve -4 + 9 = v*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-15))\/(2\/6). Let j = -52 + 51.61. Let r = 0.01 - j. Which is the closest to z? (a) 5 (b) 0.05 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 91.6. What is the third smallest value in 1\/4, 62, x?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.47353ng to kilograms.\nAnswer: 0.00000000007247353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + d. Let h(p) = 4*p**2 - p. Let s be ((-14)\/(-5))\/(11 + 265\/(-25)). Give s*y(q) + 4*h(q).\nAnswer: 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15573)\/(-9135) - 14\/(-147))\/(21\/(-770))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 e, and 1 j when four letters picked without replacement from {e: 4, j: 1, v: 2, p: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -3.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -163*t**5\/10 + 643*t**4\/24 - 1065*t**2. Find the second derivative of f(s) wrt s.\nAnswer: -1956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psykfpxpyfppppp. What is prob of picking 2 p, 1 k, and 1 f?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.9 + -106.5. What is o rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(208) + sqrt(208)*-2 + 2 - -1*sqrt(208)*-2) - (sqrt(208) - -5*(3*sqrt(208) + sqrt(208)) - 1*(sqrt(208) + -3)))**2.\nAnswer: 784*sqrt(13) + 40817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29595*p**2 + 29627*p**2 - 58898*p**2.\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.7051ng in grams?\nAnswer: 0.0000006597051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-4) - 9\/(-15)*1325\/318.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-10) + 2\/(-10). Let m be ((-3)\/9)\/(y\/6). Suppose -2*g + 20 = -n, -m*g = 4*n - 0*n - 30. Calculate the greatest common divisor of g and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2044 = 4*u - d, -5*d + 2068 = 17*u - 13*u. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9714078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27098452 and 22?\nAnswer: 596165944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5441, 22886, 70243, 162470, 314525, 541366, 857951, 1279238?\nAnswer: 1820185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 46 = -2*a - 2*h, 3*h - 47 = -2*a. Suppose 0 = -5*q - a + 5, -q + 3884 = -4*b. What is b rounded to the nearest ten?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a + 91*a - 6*a**3 + 7*a - 13*a**3.\nAnswer: -19*a**3 + 81*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1920, -1953, -1984, -2013, -2040?\n\"Answer: w**2 - 36*w - 1885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n + 9 + 27. Solve -n*k = -0*k + 9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 685, 661, 637, 613, 589, 565?\n\"Answer: -24*m + 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65232982 and 6.\nAnswer: 195698946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**2\/2 + 9*o + 62. Let y be m(-6). Solve 5*d + y = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.713 + 0.233. Let j = 0.48 + l. What is the biggest value in 2\/11, 6, -3\/5, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/39*156\/(-40)*(-42)\/2646*-105\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 3, -31, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 31225854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -14*r**3 + 685*r**2 - 1774*r + 89316. What is n(49)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485220085.\nAnswer: 5, 297044017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + r - 4*r + (6 - 4 - 1)*(-3*r + 0*r + r) - 4 + 4 - r - 17*r + 2*r + 2*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5002619, -20010480, -45023579, -80041916, -125065491?\n\"Answer: -5002619*a**2 - 4*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45400 divided by -40\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:50 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+20817870717\nAnswer: 20817870717.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**3 - 6*g**2 - g**2 + 18*g**2 wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-53)\/(-5) - (-40)\/100. Suppose 3*m - 12 = 0, 2*p + m - 3 = f. Suppose -4*s - 3*t + 186 + 37 = 0, -p*s + 245 = -3*t. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*t**3 + 106*t**3 + 150*t**3 - 153*t**3 + 150*t**3.\nAnswer: 343*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 29. Let v(r) = 2*r - 18. Let i(j) = -5*n(j) + 8*v(j). Let m(d) = -5*d - 2. Calculate 3*i(b) + m(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/46 and 11\/28612.\nAnswer: 28612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 74955, 149718, 224481, 299244, 374007, 448770?\n\"Answer: 74763*m + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let v = -4 + r. Let s = v + 1.6. Put 1, s, -2 in ascending order.\nAnswer: -2, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 - 233232?\nAnswer: -233127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12*((-5)\/(-1))\/20\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3182*s - 6546. Let d be h(6). What is the greatest common divisor of d and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z. Let k(n) = -n**2 + 185. What is k(q(c))?\nAnswer: -9*c**2 + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s - 80. Let v be a(-20). Let n(x) be the third derivative of 7*x**2 + 1\/6*x**3 + v + 1\/24*x**4 + 0*x. Determine n(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/35*-1 + -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1151753*c**2 - 2301033*c**2 + 1149270*c**2.\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5.41, -1\/6, 78, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 249730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 294653, 294634, 294615, 294596, 294577, 294558?\nAnswer: 294539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) -5 (c) -4 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1508808 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*t - 2. Let k be (52\/(-6) - -6)*(-57)\/t. Let v = -50 - k. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131711?\nAnswer: 131711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17074*p + 16855*p - 19 + 9. Let r(t) = 2*t**2. Give r(j(v)).\nAnswer: 95922*v**2 + 8760*v + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 193977045*s**2 + 3135591262566189*s - 3135591068589147.\nAnswer: 3*(s - 32329507)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.30819236 to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -171764707 minus 0.0167?\nAnswer: -171764707.0167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.7 - -8.6. Is -2\/9 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c0aa (base 16) in base 13?\nAnswer: 195b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 0 + 0*k**4 - 4*k**2 + 79\/30*k**6 + 0*k**5 + 0*k**3 - 90*k. Differentiate r(n) wrt n.\nAnswer: 316*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2191 + 3000. What are the prime factors of t?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h - 9167*h**2 + 5118 - 9874*h**2 + 26438*h**2 wrt h?\nAnswer: 14794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/(-24)*(-6)\/(-4). Let l(u) = -37*u - 22. What is the units digit of l(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*y + 1782*y - 20588 + 79178 = 0 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 87?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 - 1643*p + 3*p**2 - 20547*p.\nAnswer: 3*p**2 - 22190*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -15*f - 2. What is g(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 39*t + 119. Let g be u(-3). Which is the second smallest value? (a) 0.28 (b) -2\/11 (c) g (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 223403?\nAnswer: -223411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 8 + 1 + -20 + 8 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 18\/(-15))\/((-220)\/550). Let l = 0.24 + -17.24. Which is the third biggest value? (a) -5 (b) l (c) -3 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 5*y**2 - y - 3. Let q be u(-5). What is the third derivative of 0*x**6 - 3*x**2 - 3*x**6 + 8*x**q wrt x?\nAnswer: -360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/100 and -17\/320?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3048627425.\nAnswer: 5, 17, 19, 223, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*k - 93 = 0, -4*k = 5*d - 87 - 348. Let s(b) = -40*b + d*b - 48*b. Let n(r) be the third derivative of -r**5\/60 - r**2. Give s(n(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -85436 greater than -7433000\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:49 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 0.2, 0.3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 17616?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1410111 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -635482 = -140*r + 218462 - 209944. What are the prime factors of r?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -11 + -9 + -3 + (-8 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r + 16. Let h(l) = -20*l - 17. Let f(b) = 5*h(b) + 4*z(b). Differentiate f(t) with respect to t.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1537082, 3074160, 4611238, 6148316?\nAnswer: 7685394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1452) - 2*sqrt(1452))*-6)\/(sqrt(36)*1 + sqrt(32)\/(-2*sqrt(8)))*6.\nAnswer: 792*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(12) + -3 - sqrt(3)) + sqrt(3) + (-6*sqrt(15)\/sqrt(5))**2 + -5.\nAnswer: 5*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/96 and -139\/4002.\nAnswer: 64032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 2815920*h + 19711244.\nAnswer: 4*(h + 7)*(h + 703973)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22394 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttttttttntttttttt?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -18 + 2. Suppose -2*x + 2*h = 4, s*x = -2*h + 25 - 3. Suppose -z + 2 = -x*k - 11, 2*z = -5*k + 37. Solve c = g + 4, -3*g - 3*c = -2*g - z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 175205775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 266536532*q - 343971764 wrt q?\nAnswer: 266536532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18.3 - -0.7. Let s = k - 29. Let m = s + 9. Which is smaller: -0.3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 8?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-24)*-58 + 1\/(-4). Let n(q) = q + 8. Let o be n(-6). Suppose o*j + 40 = 110. Calculate the greatest common divisor of r and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47, 86, 119, 146, 167?\n\"Answer: -3*n**2 + 48*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13896 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 3*w**2 - 3*w + 3. Let d be l(2). What is the units digit of (0 - d) + (-6 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, q: 1, f: 3}. Give prob of picking 1 f and 1 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210770099 or 210770096?\nAnswer: 210770099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*i*o**3 - 14*a**3*i*o**2 - 2*a**3*o**2 + 5656465*a*i**3*o**3 - 2*a*o**2 + 2*i**3 - 1184*i*o wrt o?\nAnswer: -18*a**3*i + 33938790*a*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u*u**(3\/11))*u**(2\/27)*(u**(5\/4)*u)\/u**(1\/39) assuming u is positive.\nAnswer: u**(46729\/15444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (35 + -56 - -67).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*i - 6. Let v be (-20)\/(-5) - 3\/i. Let d = 0 - -2. Put d, 5, v in ascending order.\nAnswer: v, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/21813 and -9\/9648617.\nAnswer: 28945851","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 - 96*k**2\/5 + 495*k + 60750.\nAnswer: -(k - 54)*(k + 75)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**4 - 335924*b**3 + 20506748*b**2 + 42021252*b + 21178584 = 0.\nAnswer: -84042, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 78*t + 60. What is the remainder when 351 is divided by l(0)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c**3*m + 419*c**3 + c**2*m - 281*c*m + 31*m wrt c.\nAnswer: -78*c*m + 2514*c + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 795 (c) 2\/7 (d) -0.3 (e) -9351\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -491137, -491183, -491229, -491275, -491321?\n\"Answer: -46*n - 491091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + (sqrt(243) - 5*(sqrt(243) - 1*sqrt(243))) + sqrt(243) - sqrt(243))**2 + -5 + (sqrt(243) - (0 + sqrt(243)))**2.\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-17))**(-22) assuming n is positive.\nAnswer: n**374","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bss when three letters picked without replacement from xsnxxnnbnxsmsb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2122220 and 580?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from etnnnneii?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16 - 13) + (1 + -2)*0. Suppose -5*x + 2*x - 6 = d*o, 5*x - 14 = o. Let k(u) = 7*u - 5 + 1 + 1. Let m(a) = 8*a - 4. Calculate o*m(n) + 5*k(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 6 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -1. Let g be (0 - -2)\/((-6)\/(-4)). Let l = 12002\/15 - 800. Put l, j, g in descending order.\nAnswer: g, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 12:54 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 - 10*w**2 - 18*w - 38. What is the thousands digit of h(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-326)\/(-14) - (-28)\/(-98). Suppose -3*i - 3*n = 2*i - 67, i + 3*n - z = 0. Solve 3 - i = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2347912?\nAnswer: 2, 7, 41927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -524*z + 585*z - 1098 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 2)*(-1 + 1 - i) + 10*i + 41*i + 104*i)*(0 + 2*i + 0) in the form f*i + n + h*i**2 and give h.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-64)\/28 - -4)*(2 + 5). Suppose -s*y + 11*y = -64. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 894325, 894327, 894331, 894337, 894345?\n\"Answer: h**2 - h + 894325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 4:15 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.111, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555400?\nAnswer: 2, 5, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 170 and 2.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -261*m**4 - 725 wrt m?\nAnswer: -1044*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*a - 21*a + 26 = 56*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 60\/35 - 18\/(-63)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*m + 1395 + 40 + 1709 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3\/17, 36, 19, -1, 0 in ascending order.\nAnswer: -1, -0.3, 0, 3\/17, 19, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 287769629987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11916132 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: Solve l**5\/4 - 14095*l**4\/4 - 98703*l**3\/4 - 155117*l**2\/4 - 35255*l\/2 = 0 for l.\nAnswer: -5, -1, 0, 14102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 561 - 557.935. Let l = -3.07 + b. What is l rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5856672 divided by -24.\nAnswer: -244028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a factor of 1794964620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 - 2*w**2 + 4*w**2)*(-1 + 4 - 4)*(3*w**2 - w**2 + 2*w**2).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -263916 less than -263916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 10\/3*(-3)\/2. Let u be (-7)\/14 - 9\/z. What is the first derivative of 83*t - 83*t + 12*t**u - 11 wrt t?\nAnswer: 48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - 11 + 11)*(-700*z**2 + 9 - 9*z**3 + 700*z**2).\nAnswer: -63*z**5 + 63*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + 2*sqrt(352))\/(3*sqrt(11)*-2).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265427485 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j - 57. What is the hundreds digit of i(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 121466453 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 851?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 126 + -60 + -19.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/(1\/(-3)). Let a = 3 - r. Calculate the highest common factor of a and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426 + -1279\/3. What is the nearest to 0 in g, 4, -0.1, 39?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**6\/720 - y**4\/6 - 4*y**2. Let b(c) be the second derivative of g(c). Let d(s) = -4*s. Determine d(b(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = 2*v. Let k be v\/18 + 50\/18. Suppose k*z - 2 = 2*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/2)*x\/x**(4\/19))\/(x**(-1\/4))**(-9) assuming x is positive.\nAnswer: x**(3\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10567\/8388 - -67\/233. Let h = 0 - -10. Find the common denominator of 86\/4*(-5)\/h and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z\/(z**(-9)\/z))\/(z*z**(-2\/9)*z)*(z*z*z\/z**(-6)*z)\/z*z**(2\/33) assuming z is positive.\nAnswer: z**(2008\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 737007 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 22*b**2 - 29*b + 61. Is z(29) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48344 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*(-120)\/30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1522 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -575 (base 13) to base 3\nAnswer: -1021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161882018.\nAnswer: 2, 6151, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 7)*(24*t - 19*t + 35*t)*(10 - 78*t + 36*t + 39*t) to the form u*t + x + g*t**2 and give u.\nAnswer: 2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1\/310, 1\/203, 2\/11, 14?\nAnswer: 1\/310","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/8579 - -317333\/386055. What is the common denominator of ((-8)\/(-81))\/((-4444)\/(-231) + -19) and g?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-104)\/(-20))*(-15)\/6. Solve -w = 5*t - 13 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. Let r = 3.4 + 0.6. Which is the closest to 0.1? (a) h (b) -1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.08 rounded to one decimal place?\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**32\/((i*i**(-4\/7))\/i) assuming i is positive.\nAnswer: i**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -25\/4*b**5 - 1 + 6*b + 1\/4*b**3 + 45\/4*b**4 - 41\/4*b**2 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-10)\/z*z*z*z)\/(z\/(z**(-2\/67)\/z)))**49)**(-38) assuming z is positive.\nAnswer: z**(1251264\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 197872598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-48))\/(((-138992)\/(-192))\/(-73)).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**5 + 0*g**5 - 3*g**5)*(0 + 2 - 1) - 28*g**3 + 28*g**3 + 10*g**5 - g**5 + 2*g**5 + g**5 + 4*g**5 - 2*g**5 - 4*g**5.\nAnswer: 9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8824 = -3*n + 8756, -2*n - 42 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -114, -101 in increasing order.\nAnswer: -114, -101, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 75 - (647 - 489)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -25.1. Is m greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 42 = 5*b, -z - b + 122 = -z + 5*z - 4*b for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j**2 + j. Let s be z(-1). Let h(v) = -1 - v**2 + 0*v**2 + 2*v**2. Let g(i) = 4 - i**2 - 5*i**2 - i - i**2. Calculate s*h(r) - g(r).\nAnswer: r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*(10 + (-190)\/20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -2, 0, 4.\nAnswer: -2, 0, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*q + 44*q + 55*q)*(-17*q**4 - 72*q**4 - 17*q**4) + (4*q**5 + 0*q**5 - 3*q**5)*(4 - 3 - 2) + 4*q**4 - 4*q**4 + 2*q**5.\nAnswer: -8797*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**1*h)\/h*h)\/h)**(-7) assuming h is positive.\nAnswer: h**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1.02 * -1722\nAnswer: 1756.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/(2\/(-15)). Let c(w) be the second derivative of 5*w**3\/3 + 3*w**2 + 3*w + 22. Let n be c(h). What is the greatest common factor of n and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -6 - (-5 + 0)) + 0 + 15\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 451, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -115. Let p = 94 - v. Let g = 30 + p. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 364 = -408 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2124 = 2144 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(704))\/sqrt(72))\/((sqrt(384) + sqrt(384)*1 - sqrt(384))\/(sqrt(60)\/(sqrt(5)*-1))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22 - -13) + 12373 - (-10 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 17.2. Let v = -2.6 - -0.9. Let p = r + v. Which is the second biggest value? (a) -2\/9 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 7*m - 5. Let y be k(5). Suppose y = 4*r - 3*r. Solve 0 = -r*t - 20, 4*t + 0 = -2*f - 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -56 (b) -1 (c) -1\/7 (d) 1\/13 (e) -0.112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*s**3 + 103*s**3 + 47*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -99. Let k(l) = -8*l**3 + 5*l**2 - 5*l. Let w(h) = 4*h**3 - 2*h**2 + 2*h. Calculate j*k(n) + 10*w(n).\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1127 and -125\/4641714?\nAnswer: 747315954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 4*d. Suppose 0 = -d*s - 4*h + 18, -s + 2*h + 5 + 1 = 0. Let q(n) = -s*n**2 + 0*n**2 + 5*n**2 - 3 - 6*n. Determine q(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 10*w**2 + 11*w. Let o be f(-11). Suppose 2*i - 246 = -o*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1221 (base 3) to base 10\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/(-4)*(8\/(-5) + 7\/(-343)*0).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 25. Let a be j(10). Calculate the remainder when 83 is divided by (-18)\/a*105\/9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooaaoooo. What is prob of picking 3 o?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 + -0.06?\nAnswer: -361.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 127*t + 88. Let r be k(-31). Put 5, 3, r in ascending order.\nAnswer: r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 - 36358358*v\/5 - 330482549114041\/5.\nAnswer: -(v + 18179179)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/40 - i**4\/6 + 13*i**3\/6 - 7*i**2. Let n(t) be the first derivative of a(t). Let z be 3 - (-1 - -1)\/2. Calculate n(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27751445 is divided by 1412?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 109 - 111. Let f be 22 - (5 - (z - -7)). What is the highest common divisor of f and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -27*u**5\/10 + 407*u**4\/8 - 68*u**3 + 7*u**2 + 4959. Find s such that p(s) = 0.\nAnswer: 0, 2\/27, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 326*w**2 - 6 + 0*w + 11*w - w - 10*w to h*w**2 + q*w + m and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19605 * -6275.\nAnswer: 123021375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026392292 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 24. Suppose -2*g - 50 = 3*g. What is the tens digit of y(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i + i + 0*i. Let l be (3 - 2 - 0)*8. Let f(k) = -l*k**2 - 15*k**2 - 13*k**2 - 19*k**2 + 60*k**2. Give z(f(v)).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622077086?\nAnswer: 2, 29, 149, 71983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 8:09 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 1752 = 1740 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 11*o - 25. Let j be s(8). Let u be j - (-2 + (31 - -2)). Let l = 23 + u. Which is bigger: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -732 or -733?\nAnswer: -732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 17 + 25. Let t(d) = -14*d + 360. What is the remainder when j is divided by t(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*q - 37 = 0, -q - 1 = 3*u - 8. Suppose 0 = 3*i + 2*d - 8, -u*i + 3*d + 3 + 2 = 0. Solve 0 = -t - t - i*c - 6, 19 = -5*t - 3*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i. Let k(v) = 18*v**2. Give k(g(x)).\nAnswer: 288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 0 + 2)*(128 - 31 + 56)*(-o**3 - 3*o**3 + 5*o**3) in the form m*o + x*o**2 + t*o**3 + b and give t.\nAnswer: 3978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 17*j**2 - 39*j - 84. Let x be k(-15). Solve x*a**3 + 13*a**2 + 20*a - a**2 - 50*a**3 = 0 for a.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**2 - 2*k. Let v = 1798 + -1794. Let i(w) = -8*w**2 - 2*w. What is v*r(y) - 3*i(y)?\nAnswer: -8*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5226 = -2186. What is the common denominator of -43\/8 and (d\/(-100))\/((-26)\/10)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -91 + 6541?\nAnswer: 64a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.88 - 0.12. Let x = r - -9. Let z = -0.68 + 0.68. Which is the smallest value? (a) -1 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*23*-124 + 2. Is 11 a factor of k\/(-70) - (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/13, 3, 0.5 in ascending order.\nAnswer: 6\/13, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = h + 4*z, -h - 15 = -6*h + 5*z. Suppose 13*i = 11*i - d + 28, -4*d = -h. What is the smallest common multiple of 8 and i?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bbb3 - 5?\nAnswer: 3bbac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Is 1\/(r\/(-12))*-7 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*k + 6550 = 165*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 1\/12*r**4 + 5\/6*r**3 + 0 + 9\/2*r**2 - 2*r. Let y be b(-6). Calculate the greatest common divisor of y and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5376 or 5507?\nAnswer: 5507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -6)*(1 + (-2)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 - 2*o**2 + o + 2. Let x be k(1). Suppose x*g - 15*g = -1071. Is g 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 9:19 PM and 10:13 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13593.5967 rounded to the nearest integer?\nAnswer: 13594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/3)*y)\/y)\/y*y**(-1\/4))**(27\/4)\/(y\/y**(1\/3)*y*y*y**(2\/3)*y)**(2\/33) assuming y is positive.\nAnswer: y**(-17345\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -38.7. Let k = -4.3 + g. Sort 4, -0.06, k, 0.5 in descending order.\nAnswer: 4, 0.5, k, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d - 2*d + 3*d - d + 4*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 121, 636, 1559, 2944, 4845?\n\"Answer: 9*a**3 + 150*a**2 + 2*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51571, -100415, -146531, -189919, -230579?\nAnswer: -268511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -23. Let m be (1\/3)\/((-2)\/t). Suppose 75 = m*b + 3*b. Calculate the remainder when 43 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -889.97 - -955.8. Let y = 0.17 + j. Let b = -65.99987 + y. Round b to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 0 + 1 - u**4 - 3 - 3*u**3 + 2*u**2 + 5*u**3 to the form w*u**4 + h + n*u + r*u**2 + b*u**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -2*c - 3*n, 2*n - 7*n + 25 = 0. Let s = -63 - c. Suppose -7*z + 165 = -s*z. Calculate the remainder when z is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -47. Suppose l - 2*n - 45 = 3*n, -n - 105 = -5*l. Let v be 2*7\/21*(1 + l). Is v at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 12. Suppose a*u = 2*x + 11, 2*x - 4*u + 21 = 5. Solve -15 = -x*f + 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 20. Sort -4, -3, 3, l in decreasing order.\nAnswer: l, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28558791?\nAnswer: 3, 827, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 + 0)*(-4)\/(-14). Let w(n) = 2*n**2 + 5*n - 20. Let b be w(o). Suppose -4*m + b + 4 = 0. What is the least common multiple of 11 and m?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {q: 1, n: 1, s: 2, l: 1, k: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13460354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18416 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 7*q**5\/60 + 5*q**3\/6 - 7*q**2\/2 + 6. Let s(m) be the second derivative of g(m). Find the first derivative of s(o) wrt o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120656.61 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33916 is divided by 73.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124246 (base 10) to base 3.\nAnswer: -20022102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 10*s + 37. Let k be m(8). Let h = k - 15. Let b(y) = 2*y**2 - 10*y + 7. Give b(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.115 + 0.085. Let r be 24\/35 + 2\/(-7). Which is the closest to p? (a) 5 (b) 1\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u + 21. Let o(d) = d + 1. Let l(m) = c(m) - 5*o(m). Suppose 51 = -5*j - 4. What is the remainder when 17 is divided by l(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17 - -41)\/(-288))\/((-1)\/(8\/6)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3913 and 910?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + k**3 - k**3 + (-3*k**3 + k**3 + 0*k**3)*(-378*k + 346*k - 1307*k).\nAnswer: 2679*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12997*a*w**2 - 3083961*a - 25*w wrt w?\nAnswer: 25994*a*w - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + (-16)\/(-3). Let k be (-18)\/4*(-4)\/v. What is the first derivative of 1 + 1 - k*w + w wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36662 is divided by 9163.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -120. Let d(p) = 3*p**2 + 8*p - 68. Suppose 0 = -3*u + 3*b + 282, -5*u - 3*b + 664 = 210. What is the remainder when u is divided by d(g)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -4 + 3 - -3. Let p = 24 - 29. Which is greater: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 11, f: 2}. What is prob of sequence fp?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 12*f**2 + 12*f + 15. Let r be h(13). Solve -2*g + j - r = 0, -1 = g - 0*g + 2*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 21. Let s be x(-9). Suppose -s = 9*y - 21. Suppose 6*z = 38 - y. Solve -u + z*u + 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x**2 + 13. Let i(g) = -g**2 + 1. What is 78*i(f) - 6*r(f)?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -325.1601 less than -458?\nAnswer: -132.8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-2))**(-2\/35))**(-40))**(-2\/3) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12 + -0.12. Let s = 4 + -3.5. What is the nearest to a in -1, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and -42004.\nAnswer: 966092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116410 and 14000?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 u, and 1 a when four letters picked without replacement from kgaugkufgckgcuc.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 10*q**2 + 10*q - 9. Let h be l(-11). Factor -10\/7*k**h + 2\/7*k**3 + 16\/7*k - 8\/7.\nAnswer: 2*(k - 2)**2*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219.62 to the nearest integer.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7*(-1365)\/780.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 648391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2090*v**3 - 8 + 2 + 2076*v**3)*(5*v + 2*v + v) + 0*v + 0*v + 2*v**4 to the form h*v**3 + y*v**2 + j*v**4 + o*v + w and give j.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 1657?\nAnswer: 18227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 4:46 AM?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand -959*y**3 + 959*y**3 + 2*y**4 - 14 + (-y**2 - y + y)*(-6*y**2 + 3*y**2 + y**2).\nAnswer: 4*y**4 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -153 and 3068366661079?\nAnswer: 3068366661232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 6:16 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 67.392877\nAnswer: 336.964385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from dfddffddfd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 8*d - 13*d. Suppose d = 4*y + 2. Solve p + 5 = y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 - (-201 + 127 - 59)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*l - 26, -3*c = -c + 2. Let v(y) = -y - 15. Let o be v(l). Sort o, -19, 3 in descending order.\nAnswer: 3, o, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34919 is divided by 309?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 6:25 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:46 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3753124 and 2845.\nAnswer: 18765620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of (((-1692)\/(-30))\/3)\/((-1 + -5)\/(-210))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15)**41 assuming z is positive.\nAnswer: z**615","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 95?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7340 and 3560.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1, 3, -3, -1, 2, -2225 in descending order.\nAnswer: 3, 2, 1, -1, -3, -10, -2225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1 - 10 + f + 3. Let t be g(8). Let x(q) = -2*q**2 - 6 - 3 - q**2 + t*q**2 + 6*q. Calculate x(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -320*u**5\/21 + 760*u**4\/7 - 2166*u**3\/7 + u**2 - 221*u + 5. Determine j so that w(j) = 0.\nAnswer: 57\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -843262 or -843259?\nAnswer: -843259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + (-2 - 147005\/(-49900)). Let s = 2\/499 + p. Factor -4\/5 - s*b - 2\/5*b**2.\nAnswer: -2*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 663*c**2 + 665*c**2 + 666*c**2 - 1995*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -119\/2. Which is the smallest value? (a) 0.3 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8162)\/44)\/(-53))\/((-1)\/(-4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 214, 274, 338, 406?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 5510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmc when three letters picked without replacement from {e: 1, a: 2, c: 1, f: 1, p: 1, m: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 9 + 21. Suppose c + 3*c + 95 = 3*i, i - 3*c = s. Suppose -i + 1 = -4*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) -0.3997 (b) 3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4 + 436*q**3 - 273146*q**2 + 540980*q + 2178000 = 0. Calculate q.\nAnswer: -495, -2, 4, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 130, 295, 526, 823, 1186, 1615?\n\"Answer: 33*h**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34930402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -3, 0.4, 0.63564?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d7 (base 15) to base 14.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13002702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = 21*v. Which is the nearest to v? (a) -1 (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4) + (-5)\/(20\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + 159\/4. What is the closest to 0.1 in 1\/12, -3, c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-9)\/(-4) - (-153)\/12. Suppose 0 = -u*j - 451 + 1322. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 1 = -5*n. Solve 0 = -4*c - n - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2736362 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289869 = -77*v + 146*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 - 3*p**2 + 0*p**2 + (p - 3*p - 3*p)*(-5*p - 3*p + 0*p) to d*p + r + z*p**2 and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 930, 2180, 2548, 630, -4978, -15680?\n\"Answer: -234*x**3 + 963*x**2 - x + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40653783*j**3 + 8189288*j**2 wrt j.\nAnswer: -243922698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -84\/859?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - i + 0*i)*(3 + 3 - 1) as n + p*i and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167320300 by -98.\nAnswer: -1707350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 - 2*s**4 + 4*s**4 + (-3 - s + 3)*(-s**3 + 0*s**3 + 2*s**3))*(4*s - s - 6*s + 3).\nAnswer: -3*s**5 + 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 + 0 + -5 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3717, -3723, -3729, -3735, -3741?\nAnswer: -3747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*j. Let z = -171 + 1193\/7. Sort z, j, -0.4 in decreasing order.\nAnswer: j, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25454254 (base 6) to base 9.\nAnswer: 1506787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*g - 0*j + 14, 3*j + 9 = 3*g. Suppose -m = -g*v + 2 - 3, -4*m = -5*v - 15. Sort 4, 0, v in descending order.\nAnswer: 4, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686411 and 891.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144 or 128?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128 + -122 - (0 + -4 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 - (-93 - 23)) + (12 - 28).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 9. Let u(j) = -j. Let m(s) = 7*s + 5. Let q(r) = -m(r) - 6*u(r). Give 11*q(b) + 6*w(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3350089 is divided by 1034.\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 + 1913367*i**4 + 305078236326*i**3 - 915248102592*i**2 + 610167952896*i = 0. What is i?\nAnswer: -318896, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.14 and -0.634?\nAnswer: -0.72276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/12 and 109\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 3 - 3 + (-9*a + 2*a - a)*(2 + 2 - 1) + 2*a - 4*a + a as k*a + g and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 502, 501, 502, 505, 510, 517?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 16*c + 10. Let h(l) = -18*l - 12. Give 2*h(v) + 3*s(v).\nAnswer: -3*v**2 + 12*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 - -90)*(-3)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170868\/11 at most 15532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 6*h + 2. Let z be h\/(40\/(-12) + 3) + 2. Sort 20, z, 5 in decreasing order.\nAnswer: 20, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -63. Let s be 1\/2*(0 + l). Solve -3*t = -0*v - 3*v + 12, s*t = 5*v - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10142 + -100?\nAnswer: 10042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*b + 65*b - 31*b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134597*c**4 - 2*c**2 + 80517.\nAnswer: 538388*c**3 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45, -96, -155, -222?\n\"Answer: -4*u**2 - 39*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -2.12. What is the biggest value in -3, 0.9, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/53 - 70\/477. Suppose -2 = -m + i, 10 = 5*m + 2*i + 2*i. Put -0.01, m, h in descending order.\nAnswer: m, -0.01, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryyr. What is prob of picking 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 3, r: 5, n: 6}. What is prob of sequence ynyn?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79\/25, -1131, 0.5 in decreasing order.\nAnswer: 0.5, -79\/25, -1131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -16855511 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*u - 171408 = 0, -85703 = -2*h + 150*u - 151*u. What is the ten thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*q + 238*q + 140*q**3 + 3 - 2 as i*q**2 + o*q**3 + j + b*q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 4 (c) 5141 (d) -0.11 (e) 2 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 15, 1, -15, -33, -53, -75?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 7720692140 to the nearest 100000.\nAnswer: 7720700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20520 divided by -4104?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/7)\/((-1)\/(-5) - (18 - 13064\/805)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 1712*h - 1707*h + 164, -4*h + 7 = -5*q + 131 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*q**5 + 414702*q**3 + 2*q**2 + 871831*q + 24 wrt q.\nAnswer: 400*q**3 + 2488212*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2 + 1 - 11*f - 6*f**2 + 7*f - 9*f**3. Is k(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -266, -6, -2 in increasing order.\nAnswer: -266, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 661 + 1030. Calculate the greatest common divisor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.78 - -23.45. Round n to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {n: 1, y: 8, d: 4, u: 7}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 9*q + 35. What is b(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013161 minus 22453?\nAnswer: -22453.013161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/26 - (4 - (-191505900)\/(-78)). Suppose 0 = -7*a - 24*a - o. What is a rounded to the nearest one thousand?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 21 = 13*l. Suppose -l + 1 = -2*b. Let u(i) = -7 - 3*i**2 + 7*i**2 - 4*i - b*i**2. What is u(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 114*s**2 + 7. Let r(p) = 38*p**2 + 2. Let h(c) = 7*r(c) - 2*z(c). Let a(m) = m. Calculate h(a(d)).\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 424853 and 572?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i)\/((i\/(i\/(((i\/(i*i\/(i\/(i**10*i)*i)))\/i)\/i)*i))\/i)*((i*i**4\/i*i)\/i)\/(i*(i**6\/i)\/i))**28 assuming i is positive.\nAnswer: i**308","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, 5, -34\/193?\nAnswer: -34\/193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 + n - 1. Let a(d) = 6*d**3 + 22*d**2 + 36*d + 101. Let h(r) = a(r) + 5*x(r). Is h(-25) a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a hour?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2. Suppose -2*j + 2*f - 7 = -23, 5*j - 2*f = 40. Suppose 5*p = 38 - j. Let r(y) = -2*y - y + p*y. Determine n(r(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = 0. Suppose 0 = -h*n + 3*n - 12. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6246 - 6244. Let c(l) be the first derivative of 0*l + 5\/4*l**4 + 5*l**3 + 5*l**i - 10. Suppose c(m) = 0. Calculate m.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*t + 12 + 9 = 0, -4*t - 20 = 0. Suppose 68 = 15*n + q*n. Solve 0*s + n*s + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-16)\/20)\/(-2)*-2 - (-22)\/11. Factor -n + 3\/5*f**2 + 3\/5*f.\nAnswer: 3*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 less than 0.44918?\nAnswer: -17.55082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 + 199.796.\nAnswer: 189.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -11. Let t = x - -9.928. Let s = t - -0.602. What is s rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 100*v**2 + 695. Let q(x) = 5*x**2. Determine q(k(t)).\nAnswer: 200000*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 19 = 5*h, 121*d - 22 = 122*d + 4*h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**(-2\/5)*b**(1\/22)\/b**(3\/8) assuming b is positive.\nAnswer: b**(559\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**2 - 74074*y**3 + 1 - 5 - 7*y**2 + 4*y. Let p be q(-3). What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -9*o**2\/2 + 2*o - 2. Let b(t) = -4 + 4*t - 4 + 7. What is 2*a(n) + 5*b(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 50.08. Let q = -0.08 - v. What is the nearest to q in 0.5, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1518299193.\nAnswer: 3, 97, 5217523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. Let h(p) = -p**2 + p + 2. Let s be h(f). Suppose 2*d + u - 3*u + 8 = 0, 5*d - u + 16 = 0. Sort s, 4, d.\nAnswer: s, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*d**2*v**5 + d**2*v**2 - 15*d**2*v - v**5 wrt v.\nAnswer: -1440*d**2*v**2 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10\/27 + 1\/27. Let p = 11\/58 + 9\/29. Which is bigger: u or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 2272.\nAnswer: 1\/568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 96 = -2*j + 340, 3*j + 2*v - 366 = 0. Let x = j + -111. Calculate the remainder when 24 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59264145 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7. Let z be 2\/4*(-20)\/(-45)*18. Sort h, -5, z in ascending order.\nAnswer: -5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.199 (c) -8 (d) 0.1 (e) -0.5 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18*(0 + 1))\/(-3 + 5). Suppose -32 = y*a - a. Which is smaller: -13\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111010101 - 11?\nAnswer: -100111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 285\/(-33) - (2 + 4)\/(-1). Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 76 - -38. Calculate the least common multiple of h and 12.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*k + 159. Let a be (-1)\/(-4)*k\/12. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/6 - (-5952)\/(-1116)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27716964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -27*x**4\/2 + 17919*x**3\/2 + 20955*x**2 + 15978*x + 3996 = 0.\nAnswer: -1, -2\/3, 666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -986, -1650, -1972, -1784, -918?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-16))\/((-16)\/128)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 217739, 217737, 217735, 217733, 217731?\n\"Answer: -2*n + 217741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(2 - 4 + 1)*(2 + p - 2)*((-3 + 4 - 5)*(-1 + 0 + 4) - 4 + 4 + 1 + (0 + 0 + 1)*(6 - 2 - 2) - 2 + 2 - 2).\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/6*(-4 + 6). Suppose -d + 2*c + 62 = 9, 5*d + k*c = 250. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 14, m: 1, s: 2}. What is prob of picking 1 m and 1 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 6*r**2 - 4*r - 4. What is n(6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -150206702 to the nearest one million.\nAnswer: -150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1753 - 143 = -23*m. Which is smaller: m or -2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-38)*x**(1\/39))**(-30) assuming x is positive.\nAnswer: x**(14810\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 + 0.1. What is the closest to n in -3, -0.2, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {t: 2, m: 2, f: 1, x: 3, w: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 1. Let y(t) = 10*t**3 - t**2 - 14*t + 7. Let r(w) = 6*n(w) + y(w). Find the second derivative of r(h) wrt h.\nAnswer: 24*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let f(c) = 73600*c**2 - 2. Give l(f(n)).\nAnswer: 147200*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2910761 - -1510761. Round r to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 50853 = -4*z - 7815, b - z = 21510. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16927 * 2695.\nAnswer: -456.18265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -49. Suppose 0 = 4*p - 3*f - y, -2*p - f + 3 = -3. Is 3978\/12 + (-2)\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + 146.85. Let f = t + -146.99923. What is f rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*f, -3*o + f = -f + 4. Let h(d) = -d**3 + 3*d**2 - 4*d + 3. Let l be h(3). Let u = o - l. Solve 2*w = u - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 432 = -0*x. What is the least common multiple of 24\/(-5)*45\/(-6) and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(99))**2 + 4 + (sqrt(99) + 0)**2 - (-1 + -5*2*sqrt(396)\/sqrt(4)).\nAnswer: 36*sqrt(11) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*-16\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510246 is divided by 751.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25511.3093, 5\/4, -3 in decreasing order.\nAnswer: 5\/4, -3, -25511.3093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 3. Let c be g(-3). Suppose 0 = -c*w + 3, b - 4*w + 2 = -4. Let l be ((-7)\/b + -3)*0. Let s(n) = -n**2 - n + 8. Calculate s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5444388731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 54630307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Product of -311 and 0.2.\nAnswer: -62.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 129490000 to the nearest 1000000.\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 463545485*r**2. Let a(t) = t**2. Determine j(a(i)).\nAnswer: 463545485*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69587 rounded to the nearest 100?\nAnswer: 69600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - -2 - (17 + (14 - 21))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-2 - -1) + 1 + (17 - 11))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 981016096 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-48))\/(4\/(-4)))\/(((-9400)\/(-1269))\/100)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 5, -5, -974 in ascending order.\nAnswer: -974, -19, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 71*v**6\/24 - 253*v**3\/6 + 191*v**2. What is the first derivative of f(t) wrt t?\nAnswer: 1065*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13000000 to the nearest one hundred thousand.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5071 + 6025. What is the remainder when z is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 - 212. Let g(i) = -i**3 + 5*i**2 + 7*i - 8. Let n be g(6). Let q = n - -3. Calculate the smallest common multiple of t and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -11*g - 18*g + 83509. Solve 11*j = 2224 - g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*z - 11*z. Solve -b = -z + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-25 - -17) - (6 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1230 + 10?\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58256.78ml to litres.\nAnswer: 58.25678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4012.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqv when three letters picked without replacement from vqqvvvvv.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -406218?\nAnswer: -406222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g + 9*g. Let r(h) = -h**3 + 8*h**2 - 10*h - 10. Let d be r(6). Let d - 1\/2*q**2 + g*q = 0. What is q?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/3 - 157*m - 2. Let d(k) = 219*k - 140. Let f(c) = -d(c) + 2*l(c). What is the first derivative of f(z) wrt z?\nAnswer: -223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, w: 1, j: 2, i: 1, d: 1}. What is prob of sequence ji?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/6 - 2\/(-3). Put 1, x, 1\/6 in descending order.\nAnswer: 1, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8 minus -7618337985?\nAnswer: 7618337997.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**4 + 8*f**3 + 2*f**2. Let z(i) = -3*i**4 + 9*i**3 + 3*i**2 + i. Suppose b + 4*b = -25. Let w(p) = b*q(p) + 4*z(p). Factor w(s).\nAnswer: -2*s*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -298 + 99. Suppose -550 = -5*g - 2*a, g + 3*a + a = 110. Let k = t + g. What is k rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.166 + 40.066. Let o = -31.7 + i. Which is smaller: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*i = 80 + 161, 0 = 2*c + 5*i - 103. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spbp when four letters picked without replacement from {b: 3, p: 5, s: 1, i: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*s - 0*o + 3, -2*s + o - 9 = 0. Let b be ((-1)\/(s - -2))\/((-1)\/(-15)). Solve b = 3*l - 4*q, 0 = 2*l - 3*q - q - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from riiqrriririiqrir.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 70632778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3549737 divided by 21\nAnswer: -3549737\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 5. Let p = 2\/21 - 76\/357. Let r = -105.97 - -106.07. Which is the closest to n? (a) 5 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - -60)\/(-2 + -1 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**2 + 7\/2*l**3 + 0 + l**4 + 1\/20*l**5 - 76*l. What is t(-10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 93\/4 of a litre?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*s - 4*s + 2*s)*(-3*s + s + s) + 3*s - 2*s - 3*s**2 + 4*s)*(-5 - 7*s**2 + 5) in the form x*s**3 + m*s**2 + j*s + w*s**4 + l and give x.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -27442599, -27442598, -27442597?\n\"Answer: n - 27442600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3220*y - 9675. Calculate q(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*j = -5*g + 641, 868 = 4*g + 4*j. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 times -25\nAnswer: 47.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181887777 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377606.\nAnswer: 2, 19, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4411, -10087, -15755, -21415?\nAnswer: -27067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 12*x**2 + x + 7. Let z be y(-12). Which is the closest to 0? (a) z (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1194 + 1197. Let u = -14.8 - -15. What is the smallest value in -1, -0.8, s, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u - 43. Let n be c(4). Suppose -165 = -n*w + 2*w. Solve -w = -4*d - 71 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/105*(-32535)\/1446?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15885*o + o**3 - 6160*o - 4846*o - 4879*o.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/22941 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165 + -138. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/24*-1*3. Let n = 5 + s. Suppose -2*c + 5*y = -6, c + n*y - y = 3. Solve o = c*f + 13, -4*o = -0*o - 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 3*h - 151. What is the second derivative of -3 + 33*w - 15 + 153*w**2 - h - 34*w wrt w?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60071.\nAnswer: 11, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - 93826\/(-2967) - (-14)\/(-21).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -2\/9, 15\/4, -1 in increasing order.\nAnswer: -126, -1, -2\/9, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7*l**(-8)*(l\/(l\/l**2*l))**(1\/32) assuming l is positive.\nAnswer: l**(-31\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 - -649\/3. Let u = -0.3 - 0.1. Which is the nearest to q? (a) 5 (b) u (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16 = 0, -i = -5*l + 46 - 7. Let y be (8 - 12)\/(1 + -11). What is the closest to y in 0.1, l, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -36, 3*i - 42 = -3593*q + 3596*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*a - 24 = -a, -5*w = 2*a + 26. Let y be (-6 + 0)*(-4)\/w. Calculate the remainder when 61 is divided by 3\/((-6)\/y) + 7 + 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(sqrt(132) - (sqrt(132)*2 + sqrt(132))))\/((-3*sqrt(24)\/sqrt(2) - sqrt(12))*6).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 6*x**2 + 7*x - 9. Give o(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-105)*1200\/10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 4:44 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + 2 + 1098\/305\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -97. What is the biggest value in -2\/15, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0904913 decades in years?\nAnswer: 0.904913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**2. Let k = 32427\/2 + -16211. Let u(t) be the first derivative of k*t**2 + 0*t - 3. Determine u(w(m)).\nAnswer: -45*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r - 10*r + 15 = -4*m, -2*r + 6 = -2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -3. Let w be (9\/(-6))\/(t\/4). Find the third derivative of w*i**2 + i**4 - 5*i**2 - 2*i**4 wrt i.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97958*w**2 - 69211*w wrt w?\nAnswer: 195916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 455879381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 7:57 PM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2) + -1*sqrt(2)*4)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**3 + 2*x**2 - 1. List the prime factors of l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1404136 (base 8) to base 2.\nAnswer: -1100000100001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cmccccccccm?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.2, 0.34, -5, 0, -3, -1 in descending order.\nAnswer: 0.34, 0, -1, -1.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 3*a - 3*a - a. Let s(h) be the third derivative of h**8\/10080 + h**5\/60 - 2*h**2. Let y(l) be the third derivative of s(l). Determine y(x(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2673)*-5 - 5*2*sqrt(2673))\/((sqrt(300) + sqrt(300)*3 - sqrt(3)) + (sqrt(120)\/sqrt(4))\/sqrt(10))*6.\nAnswer: -81*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138062 and 414186?\nAnswer: 414186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 + 2)\/(-3)*-1)\/(-306 + 310).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.36 - -20.64. Let m = 50 - 81. Let c = m + d. What is the smallest value in 4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.7 - -3. Let o = 0.048 + -12.348. Let b = o - -9.3. Which is greater: w or b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341299.\nAnswer: 7, 48757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 1. Let i(h) = -h**2 + 3*h + 2. Let k be i(-1). Give c(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (286\/88)\/((-11)\/(-44))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 5:34 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3 + 1803482*s**2 = 0. Calculate s.\nAnswer: 0, 901741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*u**2 + 3*u - 3*u + 0*u + 7.\nAnswer: 83*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, u: 4, c: 1, m: 2}. Give prob of picking 1 m and 2 b.\nAnswer: 44\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 + 9*f + 134. Calculate the smallest common multiple of q(-6) and 156.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13, -49, -117, -223, -373?\n\"Answer: -a**3 - 10*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y - 4 = 0. Let t be -2 + 3 + y + 2. Let a = 7 - 22\/3. Which is smaller: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence menu when four letters picked without replacement from upmmmen.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2634 + 2644.69. Let f = -2.1998 - -3.9898. Let j = d - f. What is j rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -179. Let w = -33 + b. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i. Let z = -221 + 226. Let c(k) = 2466*k**2 + z - 4 - 2619*k**2 + 0 + 1. What is g(c(l))?\nAnswer: 306*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.92. Let c = 0.08000176 - s. What is c rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*b - 492*b = -152. What is the highest common factor of b and 1235?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*6\/(-9)*(-24 - -3). Calculate the greatest common divisor of 1736 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -2. Let h(g) = 3*g**3 + 6*g**2 - 5*g - 4. Let f(c) = -4*c**3 - 7*c**2 + 6*c + 5. Determine y*h(k) + 4*f(k).\nAnswer: -k**3 + 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {h: 4, t: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-640)\/304 + -3*1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233577604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 3*r + 0*r**2 - 1\/12*r**4 + 2\/3*r**3 + 0. Let j be m(4). Is j at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 0.3, -1, 1.9?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 85 + (7 - 30) - (-1 - -13)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r**3 + 7*r**2. Let w(a) = 7*a**3 + 7*a**2. Let y(o) = 5*b(o) - 6*w(o). What is the third derivative of y(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 336*c + 346*c + 333*c - 1004*c + 58. Determine a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -105, -358, -847, -1650, -2845, -4510, -6723?\n\"Answer: -13*z**3 - z**2 - z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1033 - 625. Let p = -9983\/6 - g. Calculate the common denominator of p and (534\/45)\/(4\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 91. Let x = 65 - j. Calculate the smallest common multiple of x and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 3*(sqrt(76) + sqrt(76)*-2))\/sqrt(4))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11734, -21920, -32106, -42292?\nAnswer: -52478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3784531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222302021103 + 3?\nAnswer: 222302021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 608, 1100, 1590, 2078, 2564, 3048, 3530?\nAnswer: 4010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53751 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1904)\/(-322) - 10\/(-115). Is q + -8 + (-29)\/2*-118 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let k(z) = 7*z - 202. Determine c(k(g)).\nAnswer: -98*g**2 + 5656*g - 81608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 + -64. Suppose 2*q + 4*h - 7*h + b = 0, -q + 3*h = 12. Let f = -15 - q. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3494 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: Let l be ((-12)\/14)\/(-5*(-7)\/(-61495)). Suppose 8*r - 1118 = l. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/49497 and -107\/56568?\nAnswer: 395976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/(12\/(-2016)*-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 3*o - 29, 4*o = -25 + 13 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.3 - -0.3. Let f = 0.04 - 4.04. Let h = f - -3.9. Which is the closest to -2\/5? (a) t (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*v**2 + 23*v**2 + 20*v**4)*(0*v - 4*v + 2*v - v + 0 + 0 - 3*v - 3*v + 4*v - 2*v + 2 - 2 + (2 - 3 + 0)*(2 - 2 - v)).\nAnswer: -120*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-7 + (-13 - -15) + 5 + 5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)\/(-5 + 18\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**4\/3 - 24*i**3 - 234*i**2 - 2512*i\/3 - 920 = 0?\nAnswer: -23, -6, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111 + 30010111?\nAnswer: 30010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -27. Let l = v + 23. What is the third derivative of -14*g**2 + 15*g**2 + 8*g**2 + l*g**5 wrt g?\nAnswer: 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-75)\/4)*(-290)\/(-93264)*67.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 7*c - 6. Let a be d(5). Suppose -5*n - x + 11 = -84, 0 = 5*n - a*x - 120. Calculate the remainder when 57 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, a: 2, n: 1, q: 1, t: 1}. What is prob of picking 1 q and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(98))*2 - sqrt(98))**2 + sqrt(98) - 4*sqrt(98)*-1) + ((-3*(sqrt(2) + 0) + -1)*6 + -1)**2.\nAnswer: 287*sqrt(2) + 795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 83448382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 306\/374 - 2\/(-11). Calculate the lowest common multiple of 5 - 1 - (0 + a)*-2 and 80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 smaller than -123\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {d: 4, g: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.821 * -32030.\nAnswer: -26296.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-2*-6)**2 - sqrt(176)) + sqrt(176) + (sqrt(176) + sqrt(176) + (1 + sqrt(176))**2)*2 + (-2*sqrt(110)*5 + sqrt(110))\/(sqrt(90)*5).\nAnswer: 157*sqrt(11)\/5 + 25698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 22210?\nAnswer: -22132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - sqrt(125)*-4)*-5 - sqrt(125))**2 + 5.\nAnswer: 84505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50948 and 154912?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7840962470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = 4*t, -2*t = 5*v + t - 22. Suppose v*z + 8*z = 20. Solve 0 = q + z*f + 10, f = 3*q - f + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((8\/(-6))\/(28\/(-42)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7643 + -7650 - (10 + (0 - 2 - -2))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32921290 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30328 divided by -34.\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*q + 2)*(14 + 0 + 8) - 2*q - 4*q + q.\nAnswer: -49*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*6\/(5*12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z = -27. Suppose 39*o + 59 = 254. Solve 0 = -o*c - 16 - z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1)*-5 + 1. Is ((-2)\/u)\/((-1)\/93) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -433025 + 0?\nAnswer: -433025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -545*n - n**2 + 544*n + 3*n**3 + 33 - 29. Let g(c) = -c + 1. Give -3*g(h) + q(h).\nAnswer: 3*h**3 - h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -356*a + 1520. What is l(9)?\nAnswer: -1684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 165*a**2 - 3*a - 3. Let s = 387 + -384. What are the prime factors of w(s)?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 34?\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**4\/2 + 22761*o**3 + 546591*o**2\/2 + 797265*o = 0.\nAnswer: -7, -5, 0, 15186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 4, 3*v - 16*c + 12*c - 56 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:44 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 29.95. Which is the nearest to 1? (a) 1\/4 (b) s (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 104*h + 6. Let v(l) = -35*l - 2. Give 5*u(k) + 14*v(k).\nAnswer: 30*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 - 62*n**4 - 291*n**3 - 338*n**2 + 236*n + 456 = 0.\nAnswer: -57, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 4:41 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -40928a7 (base 11) in base 6?\nAnswer: -414442024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, -3, -17, -45, -93?\n\"Answer: -l**3 + 2*l**2 - 5*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2582 or -2580?\nAnswer: -2580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Suppose w - 4 + t = 0. Suppose 5*j + 20 = 0, -814 = -4*n - w*j - 14. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/761 or -1?\nAnswer: -2\/761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 32. Suppose 4*d + 5*u = -5, 4*d - 2*u + 1 = t. Find the second derivative of d*v**4 + 52*v - 7*v**4 - 54*v wrt v.\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -3.11 (c) -4\/15 (d) -4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - 463 + 251 - 45)*(3*a**3 - 3*a**3 + 3*a**4).\nAnswer: 9*a**5 - 771*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.44 times 10892?\nAnswer: -26576.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41783636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 143*j**2 + 7854*j + 23549. Determine n(-3).\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1399 take away -8?\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 327 = -313. Suppose -4*i = -36*h + l*h - 16, -h + 8 = -4*i. Let o(p) = 2*p + 1. Calculate o(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 45*k - 33. Determine w(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 - m + 6. Let a be j(5). What is a rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5360*j + 5356*j - 175 = i, 4*i = -j - 55 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -2.23, 0.4, -0.5 in decreasing order.\nAnswer: 0.4, 2\/19, -0.5, -2.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-24))\/((741\/(-52))\/(-19))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 4*w - 10. Let a be x(-6). Let z be (-2 + a)\/(2 + -1). Solve -f - f = z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**4\/4 - 2*s**3\/3 - s**2 + s - 368. Give x(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220801 divided by 31543?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0.2. Let m = -9 + 5. Let t = -2 + 2. Which is the closest to t? (a) -1\/6 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbae when four letters picked without replacement from eetxeeeeexbbxxxtaxx?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4*n**2 + 2. Let c(d) = 270*d**2. What is c(h(t))?\nAnswer: 4320*t**4 - 4320*t**2 + 1080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316*n**2 - 16*n**3 + 13*n**3 - 316*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3399238\/4333 - -1\/8666. Let b = c + -812. What is the common denominator of b and -57\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -113, -7, 163, 397?\n\"Answer: 32*w**2 + 10*w - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(252) + -1 + 5)**2 - (sqrt(7) - (sqrt(7) - (sqrt(7) + sqrt(7) + (sqrt(112))**2 + 1 + sqrt(7))))*-5).\nAnswer: 63*sqrt(7) + 838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (1 - 0)) + (-179 - 0 - -183)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 326 + -322. Suppose 6 = p - 4*n, -p + i = -23*n + 21*n. Solve 2*s + 4 = -2*x - 8, p*s - 3 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 800822 and 534?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*o + 2010. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*m = 34*m - 0*m + 672 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581665 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2 + 9*l + 21. Let o be x(6). Let r(n) = 2*n. Let s(v) = v. Calculate o*s(m) - 4*r(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2, -4, 1.6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + (sqrt(432) + sqrt(432) + 1)*1.\nAnswer: 3 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/9513 and 23\/33.\nAnswer: 104643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 199, 162, 87, -38, -225, -486, -833, -1278?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*x = 6*x. Sort -7, 3, 2, x in descending order.\nAnswer: 3, 2, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.6, -1, 13, -2\/17, -751?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 521668 and 84.\nAnswer: 1565004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 + 1288\/15. What is the second biggest value in 2\/5, -0.1, -0.06, b?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -40*m + 245. Let a be c(0). What is the second derivative of a*p - 109*p**3 - p**4 + 444 - 444 wrt p?\nAnswer: -12*p**2 - 654*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9*p = 118800000. Round p to the nearest 1000000.\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 33, 0.1, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2 + 960904956*s - 115417291808170242.\nAnswer: -2*(s - 240226239)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(200)*1 + sqrt(200))\/sqrt(10) + 5)*3.\nAnswer: -48*sqrt(5) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 - -383\/6. Let j be ((0 - -1) + -29)\/1. Let z be -3 - (-5)\/((-60)\/j). Which is the nearest to 0? (a) z (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*z**4 + 21 - 21 + (6*z**4 + 10*z**2 - 10*z**2)*(-6 + 1 + 1) - 3*z**4 - 3*z**4 + 3*z**4 to f*z**3 + a*z + r + j*z**2 + c*z**4 and give c.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1418 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 + 32*p - 64)*(2 + 3 - 6)*(-3*p + p + 0*p)*(5 + 0 - 3).\nAnswer: 128*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.83335241 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 >= -3138213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -609124, -609123, -609122, -609121?\n\"Answer: k - 609125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30746 + 49603. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36407 - 36411. Suppose 5*l - z - 4*z = 20, -2*l - z = -5. What is the third smallest value in l, -1, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -140 - -306. Let q = -161 + w. Solve -q*r + 10 = 3*o, 0 = -2*r - 4 + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 - 6*z - 2. Suppose 0*o - 12 = 3*o. Let a be s(o). Let j = a - -42. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*u + 30, 5*v + 4*u + 5 = 60. Let t be (-1 - v\/(-9))*-15. Let b = 2 - t. What is the highest common factor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-332)\/(-8) + 2\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 0.12, 2\/105?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = 4*y. Solve 3*f + 12 = -2*k, y*k + 0*k + 3 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 89.69. Let x = o + -23.89. Round x to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(2\/27))\/m**14)**38 assuming m is positive.\nAnswer: m**(-12236\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613125270 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 38 + 67. Let f(l) = 4 - u*l - 7 - 6. Let y be f(-6). Calculate the highest common divisor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17180004 is divided by 1943?\nAnswer: 1941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*j - 4, 2*j - 4*a + 5*a - 2 = 0. Let f be (j - 3)*(-24)\/16. Solve 6\/5*m**2 + 0*m - 4\/5*m**f - 2\/5 = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**5\/20 - 7*b**4\/12 - 5*b**3\/6 + 13*b. Let q be y(-6). Let n be (-1)\/q - (-493)\/(-1734). Is n not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 534 (base 14) to base 16\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142461691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*i**2 + 0*i**2 + 9*i**3 + 0*i**2 + 14*i wrt i?\nAnswer: 54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -20. Suppose 0 = p + 4 + v. Is -13 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-27)\/v**(2\/47)*v**(-2\/5)\/v**(-39) assuming v is positive.\nAnswer: v**(2716\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - 10. Is 6 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from iybeqqielell.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/410 and 53\/1189.\nAnswer: 11890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2159, 2149, 2141, 2135, 2131?\n\"Answer: j**2 - 13*j + 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 204743394 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*t - 6*t + 28 + 206 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-36708)\/3591 + 4\/18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -117 + 119. What is v in 2*v**2 - 641 + 4*v**c - 8*v**2 - 2*v + 191 + 62*v = 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -282 and -1.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180260 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15032 + 15032.1. What is the nearest to x in 2\/21, -5, 2\/73?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6*8\/40)\/((-272)\/(-24))*-5.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 8*x**2 + 10*x - 8. Suppose -2*z + 15 - 2 = -v, 3*z - 47 = -4*v. Let y be u(z). Is 50 + (5 - (3 - y)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 95 - 78 + 5*i + 688890*i**2 - 12. Suppose -y = -6*z + 4*z + 7, 2*z = -4*y - 8. Let w be d(y). Round w to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.434 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -b164a (base 13) to base 10\nAnswer: -317444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 8:10 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2142 and 5337?\nAnswer: 1270206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4))**(-5\/11)*k**(2\/9)*k*k**37*k assuming k is positive.\nAnswer: k**(15397\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b - 2*b - 2*b)*((1 + 1 + 1)*(-2*b + 5*b - 2*b) - b + 1 - 1)*(-20*b + 24*b - 17*b) to s*b + o + i*b**2 + m*b**3 and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*s - 89*s + 286 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 758*l**4\/3 + 1687*l**2 - 437*l. Differentiate d(b) with respect to b.\nAnswer: 6064*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5227, 19, -29, -2.\nAnswer: -5227, -29, -3, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*y**4 - 2 + 5*y + 45504*y**3 + 2 - 45497*y**3 as r*y**3 + n*y**2 + g + u*y**4 + s*y and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 426 from -0.02844.\nAnswer: -426.02844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 5*d**2 - d. Let x be c(-5). Suppose 7*l - 6 = x*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0 + 0)*(-5*y + 2*y + 4*y) + 4*y**2 - 2*y**2 - 8*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0*u + 0 + 0*u**3 - 7\/4*u**5 - 19\/40*u**6 - 1\/70*u**7 - 143*u**2 - 17\/8*u**4. Factor r(n).\nAnswer: -3*n*(n + 1)**2*(n + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 + -63. Solve -10*b = -z*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - n + 2*n)*(3*n**2 - 3*n**2 - n**2) + n**3 + n**3 - 4*n**3 - 2*n**2.\nAnswer: -n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 33 - 16 + 6*l in the form a*l + b and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/32)\/(((-70)\/(-16))\/(-7)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 11*z + 70. Let p be l(5). Let u = -6 + p. What is the remainder when u is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7*s + 4*s = -5*s, 5*s = 5*h. Solve h = -5*x - 3*j + 2, -25 - 5 = 5*x - 5*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eekk when four letters picked without replacement from ggekkkgeggggkkggkg?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 g when three letters picked without replacement from {a: 1, e: 2, g: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 5*d + 3. Let h(c) = c**2 - 4*c - 2. Let o(a) = 3*g(a) + 4*h(a). List the prime factors of o(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.24 (b) 1\/4 (c) 25\/232\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150958287?\nAnswer: 3, 19, 97, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23163, -94134, -212423, -378030?\n\"Answer: -23659*m**2 + 6*m + 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u + 4*u - 18*u - 125*u**2 + 374*u**2 to m + p*u**2 + l*u and give p.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*a + 2 = 0, -8 = 3*d - a + 10. Let v(y) = -1. Let z(n) = -n**2 + n + 6. Let h(s) = d*v(s) - z(s). Give h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-720)\/40)\/18)\/(33\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -7\/2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107589 and 10.\nAnswer: 1075890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 11*i + 30. Let q be l(-7). Suppose 2*t + 6 = 3*t - 4*d, -4 = 4*d. Suppose -t*a + a = q*b - 213, a = -3*b + 322. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197 - 198. Is v less than -2\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0695 times -0.3?\nAnswer: 0.02085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(95)\/(sqrt(20)\/sqrt(4)) - (-1 + sqrt(931))**2 - (-4 + sqrt(38)\/sqrt(2)*-3)) + 5.\nAnswer: -921 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide (160\/25 + -6)\/(3\/735)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 - 38. Calculate the highest common divisor of 81 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 572.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phpp when four letters picked without replacement from {h: 8, p: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -147 + 162. What is the second derivative of 154*z**5 + 60*z - d*z**5 + 2*z - 55*z**5 wrt z?\nAnswer: 1680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052691351 to 7 decimal places.\nAnswer: -0.0005269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2. Let y = 376 - 444. Let h(k) = -153*k**2. Let g(x) = y*u(x) - h(x). Let f(o) = -18*o**2. Give g(f(s)).\nAnswer: 5508*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - 0.66. Let f = -0.5 - r. Which is the nearest to f? (a) 0 (b) -4\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -492685537.73353 + 492687731. Let w = 2238.2664634 - n. Let v = w - 45. Round v to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 5*t**2 - t + 6. Let n be ((-8)\/4)\/(5\/((-25)\/2)). Give g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2*i - 4*i)*(104*i**2 - 64*i**2 + 76*i**2) as u + n*i + a*i**3 + q*i**2 and give a.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - w - 6. Suppose w = g - 1. Suppose -15 + 43 = g*k. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5017575228.\nAnswer: 2, 3, 17, 43, 33647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(22)\/sqrt(2)*5).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 15959 (c) -11 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 15*l = -20*l + 20, 5*l - 5 = -x. Solve -2*c - 3 = -x*c - 4*g, 3*g = 3*c + 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/11 (b) -10 (c) 4 (d) -2 (e) -268\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*h - 0*b + 4*b, b = -2*h + 25. Let t(x) = h*x**2 + 588 + 14*x**2 - 574. Let d(z) = 5*z**2 + 3. What is 14*d(s) - 3*t(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -4, 50024, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/14)\/((-4)\/(-14)). Suppose l*s = s + 156. Suppose -2*u + u = -k - 14, k = -5*u + s. Solve 9 = -4*r - u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467673390 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 28*d. Let f(h) = 152*h**2 + 116*h - 2. What is p(f(k))?\nAnswer: 4256*k**2 + 3248*k - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -11.3 (b) -37 (c) 2\/9 (d) 1\/4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -15\/11, 24, 45.5, 5?\nAnswer: 45.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:38 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 13*c**2 + c - 3. Let y be f(13). Which is greater: -2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-27))\/(2\/6). Let x(o) = 2*o + 1. Let k(t) = t + 1. Suppose -3*w - 85 = w + i, 0 = -4*w + 3*i - 65. Let a = 23 + w. Calculate a*k(h) + n*x(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 560 a factor of 1770984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 u when three letters picked without replacement from {u: 9, i: 11}?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1. Let p(s) = s - 4. Let c(m) = 6*a(m) + p(m). Let g be c(-4). Sort -0.5, 0.3, g in increasing order.\nAnswer: g, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(11\/((-33)\/(-3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -5*a**2 + 10. Let p(n) = -339*n. Give p(t(o)).\nAnswer: 1695*o**2 - 3390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 - 147*z**2 + 26*z**2 - 7147 + 98*z**2 + 7137.\nAnswer: -z**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (15 - 9 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*p - 6529 = -167*p + 151*p + 6532 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b - 1. Let l be p(-2). Suppose 0 = l*m - 1962 - 597. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: dd97 (base 16) to base 13\nAnswer: 1ca88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**6\/105 + d**5\/10 + 3*d**4\/7 + 20*d**3\/21 + 8*d**2\/7 - 11*d. Determine u so that a(u) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) + 2*sqrt(99))*-3 + sqrt(99))\/(sqrt(900) + (sqrt(900)*-2 - sqrt(900) - sqrt(900)) + sqrt(900)) + 4)*-2.\nAnswer: -8 - 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -0.8 (c) 73\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 0 + 5\/2*s**2 - 2\/3*s**3 - 2*s. Let y(r) = 9*r - 11. Calculate 7*a(l) + 3*y(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2*z*z**(-15)*(z\/((z\/((z\/(z**(1\/11)\/z*z)*z)\/z)*z*z)\/z))**(28\/5) assuming z is positive.\nAnswer: z**(-688\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2. Let p(k) be the first derivative of -8 - 4*k**3 + 0*k**3 + 5*k**3. Determine x(p(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 949 + -28519\/30. What is the common denominator of h and -62\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 130280, 261189, 392098, 523007, 653916, 784825?\n\"Answer: 130909*m - 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2. Let u(v) = -7*v. What is a(u(b))?\nAnswer: 245*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 137, 162, 235, 380, 621, 982, 1487, 2160?\n\"Answer: 4*b**3 - 3*b + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1603 or -420?\nAnswer: -420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 752, 760, 768, 776?\nAnswer: 784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 1, p: 1, e: 2}. Give prob of picking 1 p and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 23 + 6)*(-14*g - 485 + 485) + 3*g - 22*g - 7*g to n + x*g and give x.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 11*m - 34. Let z be u(-8). Is (2 + 0)*13215\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 1734000*p - 6935984. Give x(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -61*c**2 + 6*c - 7. Let d(k) = -2*k**2 + k + 1. Let g(n) = -3*d(n) - q(n). What is the tens digit of g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 7*z**2 - 10*z. Let t be p(-5). Suppose 0 = -3*n + y + y + 4, t = 4*n - 5*y - 10. Put 5, -4, n in ascending order.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08888 + 10.26788. Let g = 10.3 - h. Round g to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -215222, -215220, -215220, -215222, -215226?\n\"Answer: -m**2 + 5*m - 215226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + 7) - 7*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532993*t - 1 + 1 - 14*t**2 + 532993*t.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5586636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let f(x) = 16*x - 6. Let k(q) = -493*q + 187. Let s(c) = -187*f(c) - 6*k(c). What is s(n(y))?\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4 + (sqrt(500) - (1*sqrt(500) + -5)) + 5 + -1 + sqrt(500))**2 + 3).\nAnswer: 1040*sqrt(5) + 2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 14*j - 4. What is u(-15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -35*j - 2. Let d be f(6). Let u = d - -300. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15402 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -539551 and -42665.\nAnswer: -582216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - -9.18. Let p = r - 8.85. Let n = -0.14998 + p. Round n to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 16*x**2 - 9. Calculate a(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22195 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*u + u - 4*u + 2*u + (1 + 3 - 3)*(u - u - 2*u) + 0*u - 4*u + 2*u)*(-20 - 38 - 7) to y*u + d and give y.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 8667265.\nAnswer: -1\/1733453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 195993 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.9 - 15.1. Let r = a + 12.1. What is the closest to -1 in -8, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1108513 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 12*r - 2*z + 137, -r + 13*z = 3*r + 27*z - 194 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6539051 to the nearest integer?\nAnswer: 2557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c + 5. Let y(r) = r**3 + 12*r**2 + 11*r - 6. Let k(f) = f + 3. Let u be k(-14). Let m be y(u). Determine s(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:51 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 - 3. Let b be r(3). Let f = -16 + b. Is (-38)\/(-2)*f\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.1229732 (b) -1.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 4:18 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 10673 = 5*t + f, -2 = 2*f. Suppose -2*d - 9*d + t = 0. Is d at least 194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1989 - -18. Suppose 501 = -3*p + s. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*x + 15, 0*p - 3*p + 26 = 4*x. Solve -p*o + 12 = -6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 3*r + 2. Let w be g(3). Let o be ((312\/(-9))\/(-8))\/((-3)\/(-45)). Let h be o\/20 + 3\/4. Solve h*z - 3*z = -w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l**2. Let p(u) = 22238935*u. Determine i(p(o)).\nAnswer: -3461991609539575*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s + 2\/3*s**3 - 8*s**2 - 234. Let o(u) = 0. Calculate u.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5159 to two decimal places.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9 not equal to 6.276727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-1176)*-14 + 275\/70. Let l(u) = -u**3 + 13*u**2 + 14*u + 18. Let x be l(13). What is the highest common divisor of n and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.14 (b) 0.5 (c) 1165\/3 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35387 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21092104 + 1?\nAnswer: 21092105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -6. Let p = 1.3 + -2.2. Let u = y + p. Do 0.06 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40080, 55937, 71794, 87651, 103508?\n\"Answer: 15857*z + 24223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)*j)\/j**8*j**(-3)\/j**(1\/23) assuming j is positive.\nAnswer: j**(-484\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(56)\/sqrt(7))*3*-2)\/(((sqrt(20) - (-2*sqrt(20) - sqrt(20)))*6)\/(-2*(sqrt(4) - -1*sqrt(4)))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20074865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 33928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.699987 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvwv when four letters picked without replacement from uuvwvvvvvvwwvw?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -30. Differentiate 8*u**2 - 22*u**2 - 4 + f*u**2 with respect to u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 - 58. What is the second smallest value in 0.15, 3, f?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 37. What is d(31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 17 - 1 = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:38 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/210)\/(4\/8 + (-36)\/80).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, 744, 4151, 11178, 23031, 40916, 66039?\nAnswer: 99606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/390*5*57?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - 4*n + 5*n + 38, -1496*q + 1515*q = 3*n - 34 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*h + h + 18, 5*i = -3*h - 21. Let m(l) = l + 1. Let z(j) = j + 6. Let v be z(-3). Let a(n) = 2 + v*n - n + 2. Calculate i*m(b) + 2*a(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 34\/9 + (-4)\/(-18). Suppose -n*u + 47 = -105. Let q = u - 26. Calculate the smallest common multiple of 14 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3451.236 + -3458. Let b = -0.236 + t. Let x = -2 - -5. What is the closest to 2\/5 in -2, b, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*h - 19. Let s(z) = -14 + 0*z - h + 28 - z. Let l be s(-7). Put 0, -1, l in decreasing order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2265\/53 at most -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 235 = 4*d, -259939*d = -259944*d - q - 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2. Let y(i) = 13 - 20*i - 13. What is z(y(k))?\nAnswer: -800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4151.\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.9 + -3.2. Let p = 0.026 + 2.274. Let i = -0.3 + p. Which is the third biggest value? (a) -4 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686911771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 17*l**2 + 6. Let o be g(-17). Which is the third smallest value? (a) o (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1993 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64941, 64948, 64955, 64962, 64969?\nAnswer: 64976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2. Let y(g) = 1116*g - 1116. Let v(h) = h + 3. Let i(a) = 372*v(a) + y(a). What is d(i(r))?\nAnswer: 4428288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**5\/20 + 5*x**4\/12 + 3*x**2\/2 - 2*x. What are the prime factors of v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2, 1, -0.18, 17.\nAnswer: -2, -0.18, -1\/6, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -1369.611?\nAnswer: 1371.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 50. Suppose -54*z + l*z = 0. Suppose z = -4*i + 8*i - 128. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*g**3 + 289154*g - 289154*g.\nAnswer: 640*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 960 by -32.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -39*m + 2. Let o be h(-2). Let b be (0 - o)\/1 - 2. Let g = b + 135. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -397 + 396. Let o(z) = -z - 10. Let g be o(-11). Sort 5, x, g.\nAnswer: x, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 241, 243?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 736 = 736. Suppose o = -126*l + 111*l + 90. Determine k, given that 0 + 3\/2*k**3 + 0*k**2 - l*k = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*y**3 + 25*y**3 + 34*y**3 + 8 + 54*y**3.\nAnswer: -29*y**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 n when four letters picked without replacement from {n: 6, m: 4, z: 6, e: 1}?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 221930179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63 + 237*i + 228*i - 719*i + 240 + 237*i to n*i + l and give n.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3542.\nAnswer: 2, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/35 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 1\/105*f**6 + 18*f**2 + 0 - 1\/30*f**5 + 1\/42*f**4 + 0*f + 4\/735*f**7 + 0*f**3. Find l, given that a(l) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -709 + 708.7. Let u = -93 + 650\/7. Which is the third smallest value? (a) u (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -10*s**3 + s**2 - 6*s + 7. Let u be 0 + 2\/8 - (-27)\/(-12). Let i be ((-528)\/143)\/2 - u\/(-13). Let y(f) = -3*f**3 - 2*f + 2. What is i*o(a) + 7*y(a)?\nAnswer: -a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 4 = -2*t. Suppose -5*l + 5*d = -20, 3*l + l + d = 1. Let w be (4\/10)\/(l\/(-5)). Which is greater: t or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**2 + 47 + 6*s + 6*s - 7*s - 47. Let y(g) = -6*g**2 - 7*g. What is -7*p(d) - 5*y(d)?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -299695 plus -0.1?\nAnswer: -299695.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**5*j))\/(j*(j\/(j\/j**10))\/j))**(1\/6)*j\/j**(1\/4)*j**(-1\/9)*(j**(-1))**(-49) assuming j is positive.\nAnswer: j**(1697\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8399 rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -379.4 - -379.5. Let c be (-147)\/(-14)*2\/1. Suppose 5*t = -2*q + 2*t - c, 0 = -3*q - 4*t - 29. Sort -0.4, q, i, 0.3 in ascending order.\nAnswer: q, -0.4, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -482 - 612*l**3 + 85*l**2 + 14*l**2 - 46*l**2 - 51*l**2 wrt l?\nAnswer: -3672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6a - -3?\nAnswer: b70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5138.97 times 0.0609\nAnswer: 312.963273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4698 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) + 2\/4. Suppose -2*n + 5*n - 24 = a. Let c = 11 - n. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 66, 119, 210, 351, 554, 831, 1194?\nAnswer: 1655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000545 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = t - 798. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by 1447.\nAnswer: -209\/1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + f - 5, 4*f - 123 + 80 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 3. Let v = -2 - -5. Let a be h(v). Suppose a = 6*q - q - 15. Solve 0 = q*g - 3 - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 14\/177?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyyyypyppy. What is prob of picking 3 p?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33141, -66278, -99415, -132552?\nAnswer: -165689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*s - 12*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112816?\nAnswer: 2, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by 59318683.\nAnswer: -38\/59318683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -628, -2512, -5652, -10048, -15700, -22608?\n\"Answer: -628*n**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092736087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jddddddd. What is prob of sequence dddd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5102735?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l + 19. Determine j(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 8)\/(-1 + 1 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 10*u + 195 = 0. Suppose 28 = u*n - n. Solve 4*w - 23 = r + 4*r, n*w = -5*r - 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4268 (b) 0.4 (c) 5\/4 (d) 2.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 + 111. Differentiate d**2 + 2 - d**2 - 27 - 15*d**v with respect to d.\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**2. Let l(c) = 7 + 3874*c + 3899*c - 7736*c. What is r(l(z))?\nAnswer: 8214*z**2 + 3108*z + 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -250, 5?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p - 2. Let k(v) = -8*v + 73. Give -3*g(h) + k(h).\nAnswer: 7*h + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.85 + 0.15. Let l = 10 - g. Let n = 5.9 - 6. What is the second smallest value in n, l, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2. Suppose -4*g + 55 - 47 = 0. Let l(u) = -8*u + 8*u + 8*u**g. Calculate l(c(k)).\nAnswer: 8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00311477432 rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112*a*k + 63*a*p*v - a + 6*k**2*p*v - 1454*k**2*p - 199*k**2*v - v with respect to p.\nAnswer: 63*a*v + 6*k**2*v - 1454*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 905\/180*(3 + -2) + -1 + -4?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 g when two letters picked without replacement from nxoyaoyng?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6920.64696 - -6921. What is y rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 3*o - o)*(3 - 3 - o**3) + 1477*o**2 - 1477*o**2 - 972*o**4 - 4*o**2 + 4*o**2 - 2*o**4.\nAnswer: -975*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6*(-36)\/(-240). What is the third smallest value in d, -3, -1\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -2 (c) 281 (d) -0.2 (e) 5 (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 500*g + 26473. Determine q(-53).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/67, 24, -4\/7, -5\/11?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/22? (a) -4 (b) 2500 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-8)*((-8)\/60)\/((-53)\/(-265))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -27. Let l = r + 12. Suppose 2*g + 25 = -5*t, l*g - 5*t - 28 = -3. Solve g = -5*i + 7 - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 56.27. Let o = x + 0.03. Let k = -1406 - -1406.4. Which is the third biggest value? (a) 1\/2 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:02 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3947 to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*p - 50 + 22 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 9:46 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((-132)\/(-352))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, g: 8}. Give prob of picking 2 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(704) - sqrt(704)*-2 - sqrt(704))*4)\/(sqrt(20)\/(sqrt(10)\/sqrt(2)) + (sqrt(4) - -1*sqrt(100))))**2.\nAnswer: 45056\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine sixths of a week?\nAnswer: 48720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*w + 109 = 1711. Solve -5 + w = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 16*v + 10. Suppose 4*w = -6*w + 90. List the prime factors of m(w).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4\/5, -4\/7, -0.05, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253417 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 + 7*u + u - 5*u.\nAnswer: 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z**2 + 972. List the prime factors of l(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 24072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 3*m**3 + 3*m)*(21 + 7 + 30).\nAnswer: -174*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-516 - -545) + 669\/(-23)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 763 = 4*o, 19*o - 5*l = 23*o - 769. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 41301.96 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - l = -2*z - 16, -2*z + 5*l = -39. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 108 = -3*g, 2*d - g - 56 = -3*g. Let v be ((-2)\/d)\/((-2)\/(-4)). Let j = 0.2481 + 0.0519. Put v, 2\/9, -4\/7, j in descending order.\nAnswer: j, 2\/9, v, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -521*m + 2094. Let b be n(4). Solve -114 = b*u + 28*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7205014?\nAnswer: 2, 1063, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 7:53 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -424 - -428. Solve -4*p = -4*a + 32, -4*a + 11 = -v*p - 7*a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + -2 + (32 - 32)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 59 + 24 = 33 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/24 and 89\/4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 85030 = c, -15741 = 3*x - 2*c + 35270. Let s = -306023\/18 - x. What is the common denominator of s and 45\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 - 1)*(-3*a**2 - 6*a + 6*a) + (3*a + 2*a - 6*a)*(3*a + 2*a - 4*a) + 0 + 0 + 2*a**2.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101.6 - 102. Let q = 5.12 + -0.12. Which is the third biggest value? (a) q (b) p (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-2)\/2)\/(2\/(-2)))\/(76\/380). What is the closest to -1\/4 in 40, 0, 8\/3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -3, -4, 5 in decreasing order.\nAnswer: 66, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120 + 1277432\/(-10650))\/((-4)\/(-6) + (-1 - 0)).\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 3. Let h be g(7). What is the smallest common multiple of 14 and (-58)\/h + (-6)\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 135, 1, 3, 3\/4 in descending order.\nAnswer: 135, 3, 1, 3\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 1\/(2\/2). Suppose 0 = f*m - 28 + 8. What is the third derivative of u**5 + 3*u**2 - u**m + u**5 + u**2 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 1:54 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (-260)\/(-39))*(29 + 1). Let z = -1037\/4 - w. Sort -0.1, 5, z in descending order.\nAnswer: 5, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 25 - 221 = 0. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-71)\/(-497))\/((-2)\/(-126)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 35, -38, -115, -196, -281, -370?\n\"Answer: -2*c**2 - 67*c + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 6*t**2 - 2*t + 7. Let o be r(6). Which is smaller: o or -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + u + u = 0, b = -u - 3. Let c be (b - -1) + 17 + 26\/(-2). Suppose -9 = 5*n + 11, -4*i = n. Sort c, i, 3 in descending order.\nAnswer: 3, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -146, -145, -144, -143, -142?\n\"Answer: m - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*j - 5*l + 11 = 446*j, 0 = 3*j - 4*l + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r\/(r**(11\/4)*r)*r)\/r**(10\/11) assuming r is positive.\nAnswer: r**(15\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 7*i**2 - 3*i - 4. Let a be x(-5). Let g = a + -26. Let c be ((-4)\/g)\/((-6)\/7). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*h - 31 = 2*c, -4*h + 54 = c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1118 - -13421\/12. Let i(z) be the second derivative of 0*z**3 + 10*z + 0 - 1\/20*z**5 - r*z**4 + 0*z**2. Find the third derivative of i(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192007308 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 8*n**2 - 10*n - 7. Calculate o(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnnnnsnn. Give prob of picking 2 n.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1244898036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 18\/175 (c) 63 (d) -40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50 - (7 + 2)\/((-3)\/2). Let z = t + 273. What is the greatest common factor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(27)\/(2*sqrt(9)) - sqrt(3)) + (0 + sqrt(9)\/sqrt(3) - ((sqrt(27)*-2)**2 + sqrt(3))).\nAnswer: -108 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249624 = -874*g + 2039*g + 2302*g for g.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 305 = 5*a - m, -4*m = 5*a - 332. Calculate the common denominator of 8\/48 + a\/(-42) and -51\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (340 + -350)*43244\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 2*o**2 + o + 1. Let r be q(-2). What is the units digit of ((-56)\/12)\/r*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -244, -1526, -3838, -7174, -11528?\n\"Answer: s**3 - 521*s**2 + 274*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfhmrfxh. What is prob of sequence hh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -221 and 87.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -25*j - 5. Let t be u(-5). Suppose 5*n - 29 = 46. Calculate the highest common divisor of n and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/3)\/n*n)\/((n\/(n\/n**0)*n)\/n))**(-45)\/(n**(-2\/3)*n**(-6)*(n*n*n**6*n*n)\/(n\/n**0)) assuming n is positive.\nAnswer: n**(-187\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 207601 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b**(2\/3)\/b)\/b)*b)\/(b**12\/b)*(b\/(b**12*b))\/b**(-3) assuming b is positive.\nAnswer: b**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15837301 by 3.\nAnswer: 15837301\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + 11\/2. Let d(t) = v*t - 3 - t - 7*t. Calculate the smallest common multiple of d(-4) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 6*o**2 - 4*o - 9. Let m be a(-6). Let d = -8 - -19. Let f be d + -11 + 3*5. What is the greatest common factor of f and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q + 28. Let f be l(13). Suppose -3*h + 9 = -0*h. Let b(g) = h*g + 111*g**2 + g - 112*g**f. What is b(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/j**3))\/j)**16)**(1\/44)\/((j*j\/j**(2\/5))\/j**(-8)*(j**1*j)**5) assuming j is positive.\nAnswer: j**(-1038\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*i**2 + 30*i**2 + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 - 11*q**5 + 7*q**5 + (-1 + q**3 + 1)*(3*q**2 - 6*q**2 + q**2).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 24.8. Let x = g + 2.1. Which is the third biggest value? (a) -3 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*r + 177 = -1029 + 4766 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 c, and 1 w when three letters picked without replacement from scwvvbvccwwcdvc?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p\/p**3)*p)**(-2\/3)\/(p**11\/p*p)**(-26) assuming p is positive.\nAnswer: p**(848\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/3 + 2*l. Let j(w) be the first derivative of -3*w**2 + 7. What is j(t(s))?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 - 4*j - 7. Let u = -36 + 44. What is the lowest common multiple of r(6) and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.1, 8773305, -1\/4.\nAnswer: -5\/2, -1\/4, -0.1, 8773305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-780)\/(-300))\/((-1)\/(-5))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 16 - 16 + 50 + 12 - 15*p.\nAnswer: -15*p + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 245 + -245. Is (17*(257 + -3))\/(2 + c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/2, 2\/55 in decreasing order.\nAnswer: 4, 1\/2, 2\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9913, 16, -4 in decreasing order.\nAnswer: 16, -4, -9913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 9*x**2 + 8*x + 2. Let k be q(8). Suppose -2*w = y - k + 1, w - 18 = 3*y. Let d = y - -7. Solve -d*u - 2*u - 21 = -a, -13 = 2*u - a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 582083886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m - 2*m - 2*m + m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**4\/5 - 2292*d**3\/5 - 20409*d**2\/5 - 3624*d = 0 for d.\nAnswer: -755, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-1 + sqrt(19)))**2*3 - (sqrt(304) + 4 + (sqrt(304) - (sqrt(304)*1 - sqrt(304))) - (sqrt(304) + 1*sqrt(304) + 2))**2.\nAnswer: -24*sqrt(19) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + p = 2, -2 - 2 = -3*y - p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*d, y + 0*d + d = 0. Let f = 68 - y. What is the remainder when 267 is divided by f?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 4*z + 11 - 2\/5*z**5 - 3*z**2 + 3\/2*z**4 - 2\/3*z**3. Determine p so that t(p) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 24*d**2 - 47*d + 11. Let p(h) = -23*h**2 + 43*h - 11. Give -10*c(f) - 11*p(f).\nAnswer: 13*f**2 - 3*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**4\/6 - 26*z. Let i(r) = -61*r**2 + 1. Calculate m(i(f)).\nAnswer: -7442*f**4 + 244*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-11 - -14) - (1 + 39) - -1) + 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 12*s - 431. Give r(-11).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1160752155.\nAnswer: 3, 5, 23, 1097, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16110, 32242, 48374?\n\"Answer: 16132*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5 + 2\/5*l**3 - 2\/5*l + 0*l**2 + 1\/5*l**4.\nAnswer: (l - 1)*(l + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10131100 (base 4) to base 8\nAnswer: -43520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-6) - 17)\/(4\/(-48)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-61)\/(-88) - 1) + 52\/286. Suppose -2*h - 2*f = -3*f - 1, 5*f + 25 = 0. What is the nearest to h in t, -5, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -546, 13622, 4 in descending order.\nAnswer: 13622, 4, -546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 692.957 smaller than -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 2b51?\nAnswer: 2b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 5*h**2\/2 + 6*h + 6367. Suppose 3*r = 2*r - 5. Give t(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6585, 52584, 177445, 420600, 821481, 1419520?\nAnswer: 2254149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*t**3 - 17*t**3 - 28*t**3.\nAnswer: -85*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 184470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540671.4mg to kilograms.\nAnswer: 0.5406714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277 - -316. Let d(a) = 4 + 0*a**2 + 2*a**2 + 32*a - r*a + 0. Determine d(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1765 and 31417.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 2. Let w = j + -121. Factor 12\/7 - 3\/7*n**w - 24\/7*n + 15\/7*n**2.\nAnswer: -3*(n - 2)**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 48.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 2*c**2 - 4*c + 1. Let z be f(-3). Let i be (-5)\/(10\/z) + 6. Let g(y) = -y**2 + 2*y + 3. Calculate g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c)\/c*c)\/(c*c**4)*(c*c\/c**0)\/c*c**(-2\/5)\/c*(c**1*c)**(-2\/19)\/((c\/c**(1\/6))\/c**(-3)) assuming c is positive.\nAnswer: c**(-1963\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 1 = -4*n, -3*h - 12 = -3*n. Let t be (-15)\/h - (-47)\/(-15). Is 0 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 8*p + 4*p - 8, -4*p = -4*a + 32. Let g be -2 + 10 + -14 + (5 - 0). Let b be 4 + 3\/g + (-4)\/a. Solve b = -6*j + 8*j - 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159460 + 454719. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149886064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 2 v when four letters picked without replacement from {v: 2, b: 4, s: 6, p: 3, q: 4, o: 1}.\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -4, 768, -3.\nAnswer: -5, -4, -3, -1, 768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttdt when four letters picked without replacement from tptppttppd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 445 - 433. Which is the biggest value? (a) 0.06 (b) t (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-1)\/2)\/(-1))\/(5 - (-5474301)\/(-1094866))?\nAnswer: 43, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11903, 11834, 11777, 11738, 11723, 11738?\n\"Answer: k**3 - 76*k + 11978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844981.\nAnswer: 139, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 5*f**2 + 7*f + 12. Let h be l(-5). Let b = -19 - h. Solve 3*r + 1 - 16 = 0, 3*d = -b*r + 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (56\/(-12))\/(1\/(-3) - 0) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 4*v = 10, 0 = 1445*p - 1450*p - v + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n - 100 = 0. Suppose 0*w + 4*w = n. Suppose -x = 4*o - 32, -5*x + 155 = w*o + 25. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.0623 milliseconds in nanoseconds?\nAnswer: 93062300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5*m - 5, -65*m - c = -67*m - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 564 + -367. What are the prime factors of f?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2521 - 2519. Solve -5*x + c - 6*c + 35 = 0, c = l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 56 = -2*h. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 + 7*m. Determine a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30691212 less than 30691215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 103\/206*1*-3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 - -10010100?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3*b + 81, 18*x - 54403 = -3*b - 54484 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (7 + 5)) + (-3 - 13) + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(-4)\/((y**(-1)\/y)\/(y*y\/(y**(-7)\/y*y)*y*y)))\/(((y\/((y**(-4\/9)*y*y)\/y))\/(y*y**(-8)\/y))\/((y*y**1\/y*y)\/y**(-1\/3))) assuming y is positive.\nAnswer: y**(134\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 0, -23, -66, -135?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -34063 - 41?\nAnswer: -34104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 7 - -4 - (-2 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 + r. Let v(q) be the first derivative of 1\/2*q**4 - 1\/3*q**3 + 3\/2*q**2 + 2*q - 2. What is 3*s(y) - v(y)?\nAnswer: y**3 - 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072.590042 rounded to the nearest 10?\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5029527 by 52.\nAnswer: -5029527\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1092)\/(-7))\/6)\/((-3)\/4*64\/24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 3*y - 20 + 1, -y + 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5579 - 5582 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*d + 19, 3*d - 16 = -0*d - 4*q. Suppose -x + 24 = 5*r, -d*r - 4 = -5*x - 29. Calculate the remainder when 15 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-1 + (2 - -11) + -11 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48222657 - 469.238.\nAnswer: -48223126.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Let g(i) = -i**2 + i + 4. Let b be g(m). Is (b\/(-12))\/((-4)\/(-114)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/9 - 16*d\/9 - 32\/3 = 0.\nAnswer: -4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*k**4 + 3*k**4 - 20*k - 354661 + 354591 - 3*k**3 - 16*k**5 wrt k?\nAnswer: -320*k**3 + 156*k**2 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2)*0)\/2. Let m be (-5 - -1) + (3 - -3). Solve u = 2*t + m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*4425.\nAnswer: -154875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**3*v**3 - 2*s**3*v - 4*s**2*v - 2*s*v - v**3 - 8*v + 7 wrt s?\nAnswer: 54*s*v**3 - 12*s*v - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - (-102 + 85)) + 71.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 7*m - 3*m**2 - m - 1 + 4*m**2. Let u be k(-7). Solve -w - w - 3*q + 9 = 0, -3*w = 2*q - u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 4. Let s be h(-5). Suppose -s = -4*y + 2*y. Suppose -y*c - 5 = -8*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-75)\/190 + (-2)\/(-4). Suppose 5 = -5*b + 30, 4*b - 120 = 5*c. Let w(i) = 2*i + 39. Let r be w(c). Put 2\/7, 1\/3, g, r in increasing order.\nAnswer: r, g, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 6:32 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c*c\/(c\/c**(1\/9)))\/c*c*c)\/c))**(3\/20) assuming c is positive.\nAnswer: c**(-1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1701 and 105.\nAnswer: 8505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332567 + 166290 + 166277 + 30*p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 3*o - 810 + 2*o - 5822.\nAnswer: -2*o - 6632","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 21. Let q(k) = 6*k**2 - 14*k - 23. Let n be q(-2). Let z = n - b. Solve -2*v - z*v - 4 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/(2\/60*390\/1105)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(5*sqrt(63)) + (sqrt(56)\/(sqrt(2) - (sqrt(18) - sqrt(2))))\/sqrt(4))**2*2.\nAnswer: 2744\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -661 + 666. Let q be (-2)\/7 + (-200)\/(-14). Solve -q - 6 = -i*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q**2 + 9*q - 9. Let d(u) = 0 + u + 4 - u - 2*u + 4*u**2 - 2*u. Determine 9*d(h) + 4*i(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 1163 (c) 0.1 (d) 0 (e) -4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 3 - (1 + 2 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -183543*w**3 + 6*w**2.\nAnswer: -3*w**2*(61181*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32a - -27?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219491 + -44586. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 2. Let d = 10 + p. Suppose -5*x = d*j - 59, -j - 3 = -4*j. What is the smallest common multiple of 2 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3f (base 16) to base 8\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8855 and 1955.\nAnswer: 150535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1341*-3.\nAnswer: -4023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 11*d**2 + d - 24. Let j(l) = -5*l**2 - l + 12. Let x(c) = -6*a(c) - 13*j(c). Let f be x(6). Let z be f\/(-4)*48\/18. Solve 2*s = -14 + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 3*c**2 + c + 1. Let j be f(-3). Which is greater: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q - 26 = -39*q. Suppose -h + 4*f + 4 = -10, -5*f - 37 = -2*h. Is h at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -0.8 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*f**4 - 24*f**2 + 16946*f wrt f?\nAnswer: 276*f**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 18 - 162. Suppose 2*a = -i + 3*i + 18, a = -i + 7. What is the greatest common factor of a and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 13.09. Let i = z - 0.09. Which is the nearest to 1? (a) -4 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-28))\/(7\/((-364)\/(-39))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*v**3 + 53*v**3 - 161*v**3 + 59*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + (sqrt(5)*-1*4 - sqrt(5))) - (sqrt(200) - (-1*sqrt(200) + sqrt(200)))\/(5*sqrt(10)*1))**2.\nAnswer: 9604\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - 8\/(-6). Let p be -5 + (-3)\/4 + 94\/8. What is the third derivative of -p*a**2 + 3*a**6 + 5*a**j + a**2 + 7*a**2 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -4*o**3 - 2*o - 4. Let z(d) = -7*d**3 - 4*d - 7. Give 5*m(w) - 3*z(w).\nAnswer: w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**3\/3 + 7*v**2 + 18*v + 5. Let i be w(-13). Suppose 3*l = i*l - 150. Is l a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-130)\/(-78)*(5 + 4\/(-2)). Let r be -3*1\/(-2)*2. Suppose -f = -2*f - y + 2, 4*f - 5*y = -37. Put f, h, r in decreasing order.\nAnswer: h, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12113938 to the nearest integer?\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 4 + 8)*(-46 - 569*t**2 + 567*t**2 - 36) as j + a*t**2 + h*t and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -48\/5 (b) -195 (c) -0.5 (d) 2 (e) -0.3 (f) -0.6 (g) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16*u - 14. Let b(x) be the second derivative of x**3\/2 - 3*x**2\/2 + 3*x. Let s(f) = 11*b(f) - 2*w(f). Calculate s(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05275 to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 12) + -91 + 2156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 119411462, 1\/4.\nAnswer: -4, -2, 1\/4, 119411462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865*j - 150234 = 1320*j - 652*j for j.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1653, -1580, -1489, -1404, -1349?\n\"Answer: -4*v**3 + 33*v**2 + 2*v - 1684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 128\/15?\nAnswer: 128\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*x**5 + 86*x?\nAnswer: 2180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 18. Let k be g(8). Let n(b) = -5*b**2 + b. Let p = 2 + -1. Let i be n(p). Put -3, i, k in increasing order.\nAnswer: i, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*o + 133, o - 3*o + 3*r + 95 = 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.97 plus 0?\nAnswer: 469.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 21 = 61. Solve -q = -b*q - 114 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 379032*y**3 - 20*y**2 - 54417216*y.\nAnswer: 2274192*y - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-16)\/u))\/u*u**4)\/(u*u\/u**(-4)*u)**17)**(-48) assuming u is positive.\nAnswer: u**4704","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6 - 5)*(104 - 210 + 108 + 56*c) to p*c + g and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-243)\/6*(-3)\/((-9)\/(-22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -92. Calculate the greatest common factor of 2 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 4*s**2 + 3. Let b be g(-4). Suppose 2*j - b = 3. What is the second derivative of 3 - j - 2*w + 6*w**2 - 3*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 78 = 69. Suppose 2*j - 8 = -0*j + 2*l, -2*j + 2 = -4*l. Calculate the greatest common divisor of j and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133316 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*c**3 + 30 - 30 + 8*c**3 - 4*c**3 - 17*c**3 + (0 - 2 + 3)*(-c**2 - 2*c**3 + c**2) + (2 - 3 + 6)*(c**3 - 4*c**2 + 4*c**2).\nAnswer: 39*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14204 = -h + 49985. List the prime factors of h.\nAnswer: 3, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22845545 and 302590.\nAnswer: 45691090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5887*t*w**3 + 1144*t - w**3 - 278*w**2 wrt w.\nAnswer: -35322*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/11)*(((d**(1\/2)*d*d*d)\/d)\/d)\/d)**(8\/9))**(1\/22) assuming d is positive.\nAnswer: d**(10\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 3*i - 3. Let p be j(-3). Let h be 0 + p*(-3 + 2). Solve -4*s - 2*f - h = 3, 4*s + f + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 6*j - 316 + 236, -3*d = 4*j + 43 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6 - 7 + 3 - 2 - 7*z. Let g(x) = x - 260. What is i(g(s))?\nAnswer: -7*s + 1820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36 - (-3 + 2)*-1. Suppose 0 = -5*z - 3*q + 90, -3*z + 4*q = -4*z + s. Let b = -161 - -973\/6. Find the common denominator of b and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k = 51*k + 7, -m - 29 = -4*k. Let a(p) = -p**2 + 3*p - 2. Suppose 1 = -t - 2*l, -2*l - 2*l = 5*t - 7. Let i(f) = f. Calculate m*a(j) + t*i(j).\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-4)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468669213 to the power of 1\/2, to the nearest integer?\nAnswer: 21649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228231*a*y**3 - 37049106*a*y - 295*y**4 - 2*y - 3 wrt y.\nAnswer: -1369386*a*y - 3540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -15)*(-4)\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*z + 426 = 0, 0*s - 2*s - z + 206 = 0. What is the greatest common factor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:48 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 19*j**2 - 43*j - 10. What is the hundreds digit of o(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:26 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 518*t**4 - 3*t**2 - 59830*t?\nAnswer: 6216*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 + 6*y + 4. Let z(f) = f**2 + f + 1. Let m be ((-4)\/3)\/((-8)\/12). Suppose -m*u = 2*u - 20. Calculate u*z(x) - k(x).\nAnswer: x**3 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2895)\/(-11) + 8\/(-44) + -1. Suppose -2*o = 3*q - c, -4*o - q + 5*q = -544. What are the prime factors of o?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2 (c) 3 (d) -1.5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3.99. Let o = 0.09 - q. What is the nearest to o in 0.4, 2\/3, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212924 by -118.\nAnswer: -106462\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9392.645 grams to milligrams.\nAnswer: 9392645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*k + 51033 = 1495*k + 2020*k + 297393 for k.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/182*5*70\/75\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - -0.03. Let n = -4.08 - k. Sort n, -0.2, 1.\nAnswer: n, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22113222*g**2 - 3398638*g.\nAnswer: -44226444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(4\/16) - (-5 + (-78)\/(-8))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 9\/20*g**5 + 3*g**2 + 3\/2*g**3 + 3*g + 0 - 2*g**4. Factor x(d).\nAnswer: 3*(d - 2)*(d - 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153\/13865 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2995654049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59 + 59 + 5*o + (2*o - 2*o - o)*(0 - 4 + 5) + (-3*o + 1 - 1)*(-2 - 1 + 2).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603 + 43 = -2*j. Find the second derivative of 280 + 10*b**3 - j - 15*b wrt b.\nAnswer: 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1272 - -2023. Let v = -446 + l. Suppose 4*g + 3*a - 299 = -0*a, 0 = -4*g - a + v. Calculate the greatest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -13*p**2 + 6*p + 6. Let n(a) = -77*a**2 + 35*a + 35. Let t(r) = 35*d(r) - 6*n(r). Let i(b) = 2*b. Determine i(t(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/193? (a) 1 (b) 3\/2 (c) 1020\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 121 - 13. Let g be (-2 - -20)*f\/18. Suppose -y - 3*y + 330 = 2*x, -y + 3*x = -72. What is the greatest common factor of g and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 - 50*d\/7 + 52\/7.\nAnswer: -2*(d - 1)*(d + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {h: 1, t: 1, w: 1, j: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7690591*h**2 + 16*h - 2710 wrt h?\nAnswer: -15381182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332038 is divided by 129.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**11*a**(-2\/11)\/a)**(-1\/5) assuming a is positive.\nAnswer: a**(112\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 3:13 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3868933617373 - 2965506666248055885\/766492. Let l = g + -1\/20716. Calculate the common denominator of 10\/7 and l.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -22*k. Suppose 5*n = 2 + 8. Let h(w) = 0*w**2 - w**2 + 2*w**n. Determine d(h(a)).\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10363 + 10362. Is o bigger than -2\/50213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -5*d + 3*d + 13, -4*q = -2*d + 12. Suppose -4*t + 6467 = g + 143, 5*g = -d*t + 31604. Round g to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4332983 divided by -4332983?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 4*q. Let x(m) = 2*m**2 + 5*m. Let l(a) = 6*g(a) - 5*x(a). Let w = 6 - 7. Let i be l(w). Solve 0 = -i*y + 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87745.2ng to kilograms.\nAnswer: 0.0000000877452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2601.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 316391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.16 + 0.06. Is -0.6 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/16 of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:08 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 7) to base 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39951, 79884, 119807, 159714, 199599?\nAnswer: 239456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**8\/336 + 13*a**5\/12 - 23*a**4\/12 - 7*a**3\/6 + 3786*a**2. What is the second derivative of q(m) wrt m?\nAnswer: -20*m**3 + 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13 + 4*j**2 + 3*j**2 + 8*j - 7*j**2 + j**2. Let w be v(-6). Calculate the highest common factor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 25 = 4*n. Suppose -h = -n - 1. Suppose -3*t + h*a + 99 = 0, 3*t = -2*t + a + 158. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k + 3. Let r(x) = 3*x - 3. Calculate 4*g(j) + 3*r(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331221113 (base 5) in base 6?\nAnswer: 310210411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-5))\/((-6)\/(-20)). Let f = m - -15. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8535390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**2\/19 + 526*x\/19 + 780\/19 = 0.\nAnswer: -130, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16.8, 2\/5, 4 in increasing order.\nAnswer: 2\/5, 4, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3204 is divided by 247?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*t + 84*t + 7*t - 1872. Let l be ((-6)\/4)\/(6\/(-32)). Suppose 275 = 5*z + 3*a, 3 = -a + l. What is the highest common divisor of t and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*z - 6, z + 24 = 4*d - 3*z. Suppose -2*v - 170 = -4*k, d*k = 3*v - 4*v + 179. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414699247*j**2 + 39*j + 738583?\nAnswer: -829398494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 134604 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -49*s - 1. Let y be u(-3). Let v be ((-54)\/7*-4)\/(((-27)\/14)\/(-9)). Suppose y*m - 28 = v*m. What is the highest common divisor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(6\/2) - -2. Suppose 2*t + f*b - 42 = 5*b, -5*t = -b - 123. What is the remainder when t is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -18*l**2 - 4. Let o(y) = 17*y**2 + 3. Give 3*n(p) + 4*o(p).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -2. Let s = -5 - j. Let d(l) = -2 - 388*l + s + 381*l. Let n(c) = 2*c. What is d(n(m))?\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-8))\/(6\/(-16)) + -5. Let f = -0.8 + 0.4. Which is the closest to 2? (a) -1\/5 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.9 - -3.03. Let z = 9.13 - t. What is the closest to 0 in z, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -21*z**3 + 2*z**2 - z - 2. Let s be b(-1). Let u = 0 + -2. Let j = s + u. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u + u - 11 + 9 - u**3 + u**2 + 10 in the form h*u + n*u**3 + x + a*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 98 and 140406?\nAnswer: 982842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95, 189, 347, 569, 855, 1205, 1619?\n\"Answer: 32*a**2 - 2*a + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*v - 950 = 5*v - 3*v for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 8. Let f be 6 + x - 7\/2. Which is the nearest to 2\/5? (a) -1 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 100 = 148. Let t = n - 44. What is the greatest common divisor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 3, q: 1, y: 1, m: 3}. Give prob of sequence jy.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2) - 5187\/(-6). Let s = r + -222. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a8 - -12?\nAnswer: 4ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2 + (-10)\/(-4). Suppose 0 = n*m + 3*h + 9, 4*h = -0*h + 20. Let x = 566 + -6224\/11. Which is the nearest to m? (a) -1\/3 (b) 2\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -67*h**3 + 4*h**2 - 80*h + 4. Let z(t) = -66*t**3 + 3*t**2 - 79*t + 3. Let v(g) = -3*a(g) + 4*z(g). What is the second derivative of v(f) wrt f?\nAnswer: -378*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b0171 (base 12) to base 10\nAnswer: -725989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 2*l**2 + 2*l - 1. Let y be u(-3). Let j be (-2)\/(y\/13) + 1. Let p = 17 + j. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-2\/13)*k*k\/((k*k**(-10)*k)\/k)*(k\/(k\/k**3)*k)\/k**(-2\/13) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose -5*v + 3*j - 33 = 23, -2*v = -5*j + 11. Let p = 25 + v. Solve f*n + p = -2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g. Let t(a) = -169*a**2 - 78*a + 39. Let q(h) = -17*h**2 - 8*h + 4. Let p(k) = -39*q(k) + 4*t(k). What is p(u(d))?\nAnswer: -468*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*j + 15. Find the second derivative of -7*s**4 + 21*s**4 - 2*s + 5*s + j*s wrt s.\nAnswer: 168*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 737, 2009, 4133, 7535, 12641, 19877?\nAnswer: 29669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3*y**2 + 4*y**2)*(28 + 4 + 1).\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-20)*((-840)\/(-6))\/(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/4 - 1)*(-3010)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 350575 + -350574.795827. What is n rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65322524.\nAnswer: 2, 239, 68329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in -0.03, 0.5, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + (-4 - (-3 + (-2)\/(-2))). What is the fourth smallest value in 2\/3, z, 1, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48500, 97002, 145506, 194012?\nAnswer: 242520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*z + 6*z + 3*z + 3*z - 2*z + z + (-5 + 5 + 2)*(1 - 1 - z) - 2*z + 1 - 1 - 5*z + 5*z - z to u*z + b and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5))**(-31)\/(j\/j**(-16))**(2\/15) assuming j is positive.\nAnswer: j**(338\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18857 - -1338. What are the prime factors of z?\nAnswer: 5, 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - h**3 + 2*h + (-13*h**2 - 8*h + 8*h)*((3 - 6 + 2)*(-7*h - 5*h - 3*h) + (1 + 0 + 1)*(2 + 2*h - 2)).\nAnswer: -248*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412188?\nAnswer: 2, 353047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 8*a**2 - 2*a - 12. Let t be b(-8). Let f be 0\/(-2 + t) + -11. Let u(i) = -i - 7. What is the units digit of u(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -57*x + 59. Let b be i(1). Let o(z) = 69 - 50 + 3*z**b - 11 - 8. Let t(v) = -38*v**2 + 3*v. Calculate t(o(f)).\nAnswer: -342*f**4 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) -5\/4 (c) 2\/11 (d) 63 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 - l**2 - l - 1. Let s be v(-1). Suppose -s*b + 1 = -39. Is (8\/(-12))\/(b\/(-2652)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 5*f + 9. What is a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 - 8. Let v be m(-4). Suppose l + l - v = -h, -h + 9 = l. Is (2 + h\/(-6))\/(4\/3804) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -277 + 70*k - 31*k + 40*k + 276 in the form b + m*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/4 (b) 28 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-260)*5*(-336)\/(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*s**3 + 1555033*s**2 - 4 - 1555033*s**2 - 45*s**3 in the form w*s + g + q*s**2 + v*s**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Suppose p + 5*q = 5*p - 10972, -4*p = l*q - 10972. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 7:31 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 426 and 1500514.\nAnswer: 4501542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63 + 82 - 59*z**2 - 17 - 128*z**2 wrt z.\nAnswer: -374*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a hour in minutes?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 141597?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f - 30 - f + 7*f in the form q + m*f and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(-1*sqrt(176)*-4 - sqrt(176) - (3 + sqrt(176) + 4)).\nAnswer: -32*sqrt(11) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*i**4 - i**3 + 41*i**4 - 85*i**4 + (3*i - 3*i - 2*i)*(-5*i**3 + 3*i**3 + i**3).\nAnswer: -3*i**4 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6887*l**3 + 6890*l**3 + 18*l**4 - 1 - 2*l + 1 to the form z*l**4 + d + f*l**3 + a*l**2 + u*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 349*s - 885. Calculate j(0).\nAnswer: -885","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 555676.\nAnswer: 9\/555676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didihdiddhhddidddhdd. What is prob of sequence hd?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -0*v - 5*f + 63 + 17, v + 147*f - 142*f = 16 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 74 and 1973\/27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.188 - 1.188007577. What is c rounded to 7 decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6151026 is divided by 1941.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 833615027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j - 270 = -144 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -42, -55, -66?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 31*m + 31*m - 8*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1540, -4, -1, -142, 5 in increasing order.\nAnswer: -1540, -142, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 700172574?\nAnswer: 700172577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 315870, 315870, 315868, 315864, 315858?\n\"Answer: -t**2 + 3*t + 315868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 13*z**2 - z - 2. Let v be b(-13). Suppose -v*t + 14*t - 249 = 0. Suppose -4*o + t = 2*a - 227, -4*a + 599 = o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 12. Let c = -0.5 + 0.5. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 3*a**2 - 91*a**3 + 19*a**3.\nAnswer: -72*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*w - w + 7*w)*(-3*w + 6*w - 8*w)*(-64 - 113 + 65) to the form u + o*w**2 + z*w and give o.\nAnswer: 10080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 30152 in descending order.\nAnswer: 30152, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(2*sqrt(13) + sqrt(13)) + sqrt(13))**2 + 2.\nAnswer: 4695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541.76986 take away 0.7044?\nAnswer: 1541.06546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-1)*n)\/n*n)**(17\/3)\/(n\/(n*n**(2\/25))*n**(-6)\/n))\/(((n\/(n\/n**6*n*n*n))\/n)\/(n*n**(-1)))**(-1\/7) assuming n is positive.\nAnswer: n**(1289\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*l - 16 = -2*v, 0 = -3*v + 3*l. Let b be (v\/40)\/(3\/27). Is 0 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.32, 5, 3?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 2*w**5\/5 + 1657*w**3\/6 - 1234*w + 1. What is the second derivative of t(a) wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*r**3 + 217*r**2 - 237*r + 4.\nAnswer: 60*r + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -30, -18, -2, 18, 42, 70?\n\"Answer: 2*l**2 + 2*l - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 14*y. Determine f(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0*r**3 - 20\/3*r**4 - 40*r - 13\/10*r**5 + 0*r**2 + 1. Find the third derivative of l(j) wrt j.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + 10\/15. Let n = o - -2. Suppose -2*q + 7 = -n. Solve q - 3 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -28*w + 418. Let o be m(15). Let r = -2 - -1. Sort 1, o, r in descending order.\nAnswer: 1, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 12229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 3:49 AM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -42. Let f be (16\/24)\/(4\/n). Let i be (22 + -23)\/(f\/11). Let s(x) = -4*x**2 + 6*x - 6. Let d(g) = 8*g**2 - 11*g + 11. Determine i*s(w) + 6*d(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 186\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1\/3, -3\/8, -4, -61410?\nAnswer: -61410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -27. Let d = -19.1 + w. What is the nearest to d in -4, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5234, 10580, 15936, 21308, 26702?\nAnswer: 32124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/6 - 32*a**4 + 127*a**3\/2 - 95*a**2\/3.\nAnswer: a**2*(a - 190)*(a - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 8*j - 9)*(-7*j - j + 6*j + 1).\nAnswer: -16*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**4 - 9*p**3 + 8*p**2 + 9*p + 3. Suppose -9*m = -4*m + 25. Let b(r) = -r**2. Let o(u) = m*b(u) - g(u). Factor o(f).\nAnswer: 3*(f - 1)*(f + 1)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61635685 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 12 = 3. Let k be (-26)\/r + -1 + 13\/39. What is the units digit of (50 + -1 + k)*(-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4)\/(l\/(l*l**(-7))))\/(l**(-7)\/(l\/l**7*l)) assuming l is positive.\nAnswer: l**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 8*c**2 + 13. Determine v(-5).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29130.3 + -29130. Which is the closest to -0.2? (a) -0.0115 (b) 1\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 10:15 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4491\/77 or 57?\nAnswer: 4491\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 + 345*n**4 + 675*n**3 + 335*n**2.\nAnswer: 5*n**2*(n + 1)**2*(n + 67)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 + 212. Suppose -2*m = 5*d - n, d = 4*m + 14 - 6. Find the second derivative of 20*a + 1786 - 1786 - d*a**5 wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4213746155.\nAnswer: 5, 1493, 564467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25978 is divided by 276?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3176 + -7361. Which is bigger: -3\/2 or n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = -4*c - 4, 0 = 4*c. Suppose -o + f = 0, -o + 0*o = -5*b + 59. Find the common denominator of -31\/22 and (-9)\/18*(-159)\/b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2551 and 12755?\nAnswer: 12755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-5)*-2*1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*k - 2*p, -4*k - 5*p - 11 = 17. Let t = k + 25. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4435370 rounded to the nearest ten thousand?\nAnswer: -4440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllduvluuuulduvuv. Give prob of picking 1 v and 3 l.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (1 + -1))*1. Let y be u + -9*(-1)\/(-4). Let w be ((-8)\/70)\/(14\/35). Which is the nearest to y? (a) 4\/3 (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -1 (c) 4 (d) 2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. Let t = 3.4 - u. Let r be (-18)\/(-21) - 0 - (9 - 8). What is the closest to 0.1 in t, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -21*l + 24*l. Let q(g) be the first derivative of -5*g**2\/2 - 9*g - 6. Determine q(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {x: 2, q: 5, g: 1, e: 1, c: 3, d: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 48, 49, 50, 51, 52?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1860 and 270.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-119)*(1 - (-1)\/(-3)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2666 = -4*o + 614. Suppose -5*m = -0*m - o. 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 thousands digit of 1244763769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-253)\/644 + (-1)\/(-4)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 - 186. Let g = q - -53.5. Let t(h) = h**3 + h**2 - 12*h + 3. Let z be t(-4). Which is the fourth smallest value? (a) 0.08 (b) -2\/9 (c) g (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 2*s + 7*s - 4*s + 5*s - 6*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9241.2 + 9241. What is the fourth biggest value in -5, 4, -4, -8, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4 - (-637)\/14. Suppose -y - 6 = -t. Calculate the greatest common divisor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12609 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11 + 17 = -2*r, 5*r + 2*n = -17. Let l(x) = x**2 + 7*x + 8. Determine l(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -16. Let k(j) = j**3 - 4*j**2 - 2*j + 6. Let m(n) be the first derivative of 3\/4*n**4 - 89 - 11\/3*n**3 + 17*n - 5\/2*n**2. Give t*k(c) - 4*m(c).\nAnswer: -c**3 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4921*x**6 - 2*x**4 + x**3 - 523*x**2.\nAnswer: 590520*x**3 - 48*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - c + 20. Let z(w) be the second derivative of w**5\/20 - 5*w**4\/12 + w**3\/6 + 5*w**2\/2 + 7*w. What is z(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1767\/3534)\/(((-2)\/(-1))\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29284 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16 (b) 62 (c) -154\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(114) + sqrt(114))*4)\/(sqrt(6) + sqrt(54)*2 + sqrt(6) - sqrt(24)*-3).\nAnswer: -2*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55\/443 or 0?\nAnswer: -55\/443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -7524.75\nAnswer: -75.2475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/9 - 33812*y**3\/9 - 31906724*y**2 - 2528550720*y.\nAnswer: -y*(y + 80)*(y + 16866)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 50*u + 55*u = 36705, 2*x - 14688 = u. List the prime factors of x.\nAnswer: 7, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8228893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(((c\/c**(-2))\/c)\/c)\/c)\/(c*c\/((c**(1\/2)\/c)\/c)*c))**(-1\/8)*(c**(7\/3)\/c**0)**(-35\/4) assuming c is positive.\nAnswer: c**(-959\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - r + 0*r + 3 - 6*r. Let t = 39 - 42. List the prime factors of b(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-40)\/(-45)*5\/(-60)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1660068, 1660095, 1660144, 1660209, 1660284?\nAnswer: 1660363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 5\/3, -2\/5, -1\/8 in decreasing order.\nAnswer: 5\/3, -0.01, -1\/8, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -11 + 40*c - 1 + 33*c + 8 - 78*c. Let t = 0 - -3. Let d(w) = 0 - t*w - 1 - 1. Give 7*d(k) - 4*h(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3 - 18\/(-27)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 47*z - 495. Determine v(-8).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -792.8 - -792.806133. Round b to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 7660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 38*g**2 - 1\/315*g**7 - 1\/90*g**5 + 0*g**4 + 0 - 1\/90*g**6 + 0*g + 0*g**3. Determine s, given that w(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106686*s - 35 + 19 + 15.\nAnswer: -106686*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018060919 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16592637 is divided by 862?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 2*g + 1. Let r be q(-3). Let k = r - 4. Let w = k - -4. Calculate the remainder when 6 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + 6 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -2\/3*a**3 + 0*a + 0*a**5 - 27*a**2 - 88 + 19*a**6 + 0*a**4. Find the third derivative of q(n) wrt n.\nAnswer: 6840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 24. Let r(m) = 13*m**2 - m + 1. Let p be r(1). Let h be s(p). List the prime factors of (0 - 0) + h\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 50, -4, -148, -412, -826, -1420, -2224?\nAnswer: -3268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3725, 3610, 3495, 3380?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5182793 and 11105985?\nAnswer: 77741895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n - 142 + 16*n**2 + 313 - 176.\nAnswer: 16*n**2 + 53*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/15)\/(-1))\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**6 - 3*g**5*k + g**3*r**2 - g**2 + 68*g*k*r**2 + k*r**2 - 2 wrt g?\nAnswer: 360*g**3 - 180*g**2*k + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 13. Let y be (-4)\/q - (-57)\/11. Suppose 0 = -2*m + 3*m - y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 99 = -5*j + 12*o, 0 = -5*j + 4*o + 113. Let v = 295 - 217. What is the remainder when v is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85483\/5 - -17097. What is the smallest value in t, 2\/45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2 + (2 + 0 + 0)*(0 + 1 - 4))*(-l**3 + 0*l**3 + 0*l**3).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*g - 26046, 5*s + 12*g - 13*g = 130146. What is s rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133292130, -266584261, -399876392, -533168523, -666460654, -799752785?\nAnswer: -933044916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0107486968 to 6 dps.\nAnswer: 0.010749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = i - 15 - 1 + 1, 19*p = -7*i + i + 7*i + 57 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3520340 + -27?\nAnswer: -3520367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4907 or -844?\nAnswer: -4907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:52 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b - 18. Determine i(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -608?\nAnswer: -5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, t: 3, k: 1, h: 2}. What is prob of picking 4 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Calculate the remainder when 41 is divided by (-7 + -21)\/(-2 - h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(7))*2 + (sqrt(1701) + -1*sqrt(1701) + sqrt(1701) + sqrt(1701))\/sqrt(3).\nAnswer: 4 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*a**3 + 9\/11 - 5\/11*a**2 - 3\/11*a.\nAnswer: -(a - 1)*(a + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 2:56 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 21905*g + 700976. What is y(-32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 6:35 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719919499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85413936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + 33403?\nAnswer: 33434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10605, 19075, 27543, 36009, 44473, 52935?\nAnswer: 61395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19913 is divided by 413?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 30209884*q\/3 + 228159272823364\/3.\nAnswer: (q - 15104942)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17801, -5, 0.4, -0.3, 0?\nAnswer: -17801","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**2 + 2*x**2 + 4*x**2)*(2 - x - 2)*(-9*x + 9*x - 4*x) in the form q + y*x + h*x**4 + o*x**3 + t*x**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 11:46 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from {e: 11, v: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 194\/(-7) + (-4)\/14. Let b = 40 + f. Calculate the remainder when b is divided by 2 - 5 - (5 + -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 - 5*o**5 + 2*o**5 + (-3*o**3 - 4*o**3 - o**3)*(4*o**2 + o**2 + 33 - 10).\nAnswer: -42*o**5 - 184*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 1540209?\nAnswer: -3\/513403","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/3 - 2866*a**3\/3 + 2872*a**2.\nAnswer: -2*a**2*(a - 3)*(a + 1436)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 140*m**3 - 1335*m**2 - 4720*m - 3520.\nAnswer: -5*(m + 1)*(m + 8)**2*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 33 + 94 = 4*y + 5, 2*y + 4*g + g + 35 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -402\/4687?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 130. Calculate the highest common factor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -801, -803, -807, -813, -821, -831, -843?\nAnswer: -857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 34\/307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -836 + 46?\nAnswer: -7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*h + h**3 - 22*h + 15 - 2*h**4 - 3*h**3 to the form n*h**3 + x*h + j*h**4 + t + o*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (82\/4)\/(1*6\/(-12)). Suppose -2*t + 6*t - 312 = 0. Suppose -4*q + 2*g - 166 = 3*g, 0 = 2*q - 2*g + t. Is h > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuujkjvuu. Give prob of picking 2 j, 1 v, and 1 k.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -49, -68, -87, -106?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73355937.\nAnswer: 3, 2767, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g + 4. Calculate r(6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 10\/37 (c) 9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 + -34. Calculate the remainder when 99 is divided by g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264023 + -2?\nAnswer: 264021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 35*b - 108. What is the remainder when n(-15) is divided by 100?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 29 + 439*v - 465*v + 8 - 1. Let l be t(-4). What is the greatest common divisor of 56 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18330730 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2245600 and 23\/112224.\nAnswer: 1125045600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 15825509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 + 6 = 0. Let z(g) = -12*g + 1. Does 14 divide z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -354, 3.29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(11\/2))\/b)\/(b\/b**34) assuming b is positive.\nAnswer: b**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 38*t - 13. Let c be u(5). Suppose -2*x + c = -39. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2)*18\/(-144)*48\/4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 270, -3, 31, 1 in increasing order.\nAnswer: -3, 1, 31, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23329 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -132 - -201. Let m = 131 - w. Let s = m + -62.0825. Round s to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.158580419 - 148?\nAnswer: -147.841419581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = 6. Let x(z) be the second derivative of -4199*z**3\/6 - 5*z**2\/2 + z + 12. Let i be x(k). What is i rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/7 - 306*g\/7 - 303\/7.\nAnswer: -3*(g + 1)*(g + 101)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Let i = -9 - -12. Suppose q = -4*m + i*k - 5 + 16, -m + k = -2. Solve 0*u + 4 = -u, 0 = 3*p - m*u - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -45, -2.3, 4\/7, 2, 1\/16?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1710 = 4*g, 3*g + 4*c = 5*g + 862. Let n(m) = 15*m**2 + 2*m + 1. Let r be n(-1). Is g\/(-49) + 4\/r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 13*t**2 - 21)*(-22*t**2 - 102*t**2 - 122*t**2).\nAnswer: 3198*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (311 + 16*h - 311)*(5 - 4 - 2).\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*t - 16, t + 4 = -3*x + 20. Suppose 4*h - 4 = x*c, -20 = -h - 4*h. What is the units digit of -2 - (-143 + c)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55547\/5 - -111099\/10. Find s, given that -5\/6*s**3 + 0 + 1\/6*s**4 + 1\/3*s - 1\/6*s**2 + d*s**5 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s\/(s\/s**12)*s*s)\/s)\/s)\/s*s*s*s*s**(-2\/5)*s)\/(s**(-3\/8)*s**(-2\/31)\/s) assuming s is positive.\nAnswer: s**(21129\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 14*f**2 + 27*f + 59. Is g(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w + 3. Let h(m) = -5*m + 2. Let q(j) = -7*h(j) + 3*u(j). What are the prime factors of q(8)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 19 + 1, -5*t = u - 734. Suppose 8*m - t = 86. Let x(i) = 27 - m - 4*i + i. Let y(c) = -3*c - 1. Calculate 2*x(q) - 3*y(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:59 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 2. Let l be p(2). Let o be (-3)\/(0 + l\/(-12)). Let c be (-48)\/(-9) + 3\/o. Solve s + 2 = c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1\/6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 39. Let u = -1095 + 1100. What is the remainder when t is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5820.7 + -5821. Let y be 8\/12 + (-50)\/(-6). Suppose -2*g + 5*g = -y. Sort g, -0.5, u in decreasing order.\nAnswer: u, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by ((-16)\/(-5) + -4)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 4367313 + 0*l + 4367313 - 2*l. Let a = 9 - -1. Suppose -x = 4*d + 5, 4*x - 2*x + d = -a. What is j(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j = -73*j + 86292. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 212 and 106.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 10*12\/(-40)*-5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {r: 1, y: 1, c: 2, p: 1, b: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18357 - -1009634\/55. Which is smaller: a or 31?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**2. Let w(g) = 7*g**2 + 11. Let j(d) = 6*d**2 + 10. Let o(n) = -6*j(n) + 5*w(n). Let p(v) be the first derivative of o(v). Give p(t(q)).\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2282.05 - -2282. What is the nearest to -2 in d, -4, -3\/4, 0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -528 = -14*m - 304 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**2 - 73*m**3 + 11*m**2 + 8*m**2.\nAnswer: -73*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 4. Let c be 2 + 1 + (-4 - -1). Let l be q(c). Solve -l*z + 16 = -0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - 7. Let d be j(7). Calculate the highest common divisor of d and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149452 and 10?\nAnswer: 747260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 18*i**2 - 11*i - 5. Let g be r(17). Suppose -j + g = -69. Is 30 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 6*l + 314. What is n(-16)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(152))\/(sqrt(392) - -1*sqrt(392)).\nAnswer: -3*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.83 and 3596796654?\nAnswer: 3596796656.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2025530 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 y when four letters picked without replacement from {q: 5, y: 12, w: 2}.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.2? (a) 2\/9 (b) 10 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132842997 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310078 is divided by 228.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 + -345. Let u(f) = f**2 + 11*f - 42. Let m be u(i). Put m, 24, -1, 2 in decreasing order.\nAnswer: 24, 2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**31)**(-1\/19) assuming b is positive.\nAnswer: b**(-31\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-963)\/(-30) + (-149)\/1490\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144241029.\nAnswer: 3, 101, 107, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 596 + -352. Suppose 2*n - g = -5*x, -3*n = 4*x - 0*x - 198. What is the highest common factor of 120 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 16. Let j be h(-11). Let w(o) = -3. Let x(l) = l**2 - 1. Calculate j*x(g) + w(g).\nAnswer: -5*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.864 - 28707.136. Let m = 28712.976051 + g. Let r = m - -0.024. Round r to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100055354 a multiple of 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 45, 34, 11, -30, -95, -190?\n\"Answer: -l**3 - 4*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:47 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-15)*3)\/(4836\/104780).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -5, 12, 3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-858)\/(-3003)*(-7)\/17\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q + 3*q + 3*q - 3*q + 10*q. Let u = -11 - -21. Let y(r) = -4*r + 10 - u. What is x(y(p))?\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 4*t - 4. Let k be m(7). Suppose 3*b + k = -1. Is 73 - (-4)\/(-4 - b) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w = 4*a + 23, 5*a = 4*w - 30. Suppose 4*l = w*s - 24, s = 2*l + 2 + 4. Calculate the least common multiple of (1 + 1 - 1) + 13 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 4)\/3*0. Let y(m) = f*m - m - 2*m**2 + 6*m**2 - m - 1. Give y(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1574 is divided by 506.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 22 = -c + 6*b + 13*b, -35*b + 35 = -0 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 273048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13549 = -3*r - 13573 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.433 + -0.437. Let p = -130.1 - -127.096. Let x = p - h. Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 51.58, 3\/8, 1.35?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 13 + 8. Factor -18*g**2 - 7*g**3 + 25*g**3 - 3 + 15 - z*g**2.\nAnswer: 3*(g - 2)*(2*g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/9*(5805\/(-360))\/43*228\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020850356 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -3*c - 37667, -25*w - 5*c = -22*w - 22573. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -200, -209, -218?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5014 times -0.16?\nAnswer: 0.080224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 246365667?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1573302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 17 = q, -6*d + 9 = -4*d - 3*q. Let s be (d + 8)*18\/5. Let y = -22 + s. Which is the third biggest value? (a) 0.1 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*h = -7*h, 0 = -5*h - 10. Let w = 3225 - 3221. What is the lowest common multiple of r and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45450749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 103384008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1470 is divided by 364?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 2, 19, 1, -346 in descending order.\nAnswer: 19, 4, 2, 1, 0, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(1*(-4)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 9*p - 2. Let x(c) = 371*c + 2231. Let v be x(-6). Give l(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425.7239t to milligrams.\nAnswer: 425723900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - b**4\/4 - b**3\/6 + b**2\/2 + 2*b. Let h be t(4). Suppose -4*j + 53 = h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -274*s - 21. Let w(f) = 16 - 5*f**2 + 6*f**2 + 0*f**2 + 13*f. Let m be w(-11). Is a(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 774?\nAnswer: -2\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 11 = -25*n + 51 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-4)\/(-12) + (-28)\/12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -22, -0.5, -113562 in descending order.\nAnswer: 0.6, -0.5, -22, -113562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88676 is divided by 287.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let s = m - -10. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-24) + (-133260)\/(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100528 or -100558?\nAnswer: -100558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 198765430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 69411*-5.737\nAnswer: -398210.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5.7. Let k = w - 0.3. What is the closest to 0 in 0, -3, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**3 - 15*y**2 - 28*y - 36. Let n(c) = 7*c**3 - 14*c**2 - 29*c - 36. Let r(x) = 4*h(x) - 5*n(x). Factor r(f).\nAnswer: (f + 3)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1528 (b) 2 (c) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*x + 15 = 0, 16 = -4*w + 2*x + x. List the prime factors of w\/(-4) + 138\/24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.28 (c) -0.08 (d) -4\/361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 583897 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/9, 15\/8, 0.23, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101100111 - 10011?\nAnswer: -10011101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 5*b**4\/2 + 55*b**3\/2 + 175*b**2\/2 + 125*b\/2 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*h**4*o**3 - 17*h**4 - h**2*o + 3*h*o**3 - 2*o**3 + 128*o wrt h.\nAnswer: -1464*h*o**3 - 408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2 = t, -4*t + 3*t - 6 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13041214 times 0.4?\nAnswer: 5216485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/69*6\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t - 15. Let b be 4 - (-16)\/t*-3. Suppose 0 = -18*z + b*z + 336000. What is z rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499642?\nAnswer: 2, 11, 13, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -429\/4 - -108. Let a = -0.2 + 0.6. What is the second smallest value in u, -0.01, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59233, -57805, -56377?\nAnswer: -54949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-4))\/(9\/(-24)). Suppose h = 4*k - 7*k. Let r = 4 + -7. What is the smallest value in 3, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - -2*1194\/(-28). Let g = z + 87. Let y be 2 - 1 - -1*2. Solve -y*j - 3*i = g + 7, 4*j - 5*i = 33 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -145 - -6?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - 4062?\nAnswer: -4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:10 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 24, -28, -180, -474, -952, -1656?\nAnswer: -2628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26535422.\nAnswer: 2, 23, 163, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -96, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 17259?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820016 divided by 271?\nAnswer: 14096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 712\/7*v**2 - 4\/7*v**3 - 33060\/7*v + 121104\/7 = 0.\nAnswer: 4, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 - 4*s + 4. Let z = -13 + 17. Let d be j(z). Calculate the highest common divisor of d and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 335165184 to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 12*z - 5*z - 9 + 13*z.\nAnswer: -16*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + g**3 - 9 - g**2 + 8*g**2 + 5*g. Let j be z(7). Suppose -42 = -4*w - 5*d + 2, -j = -3*w - 2*d. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*i - 26, -8*s + 3*s - 32 = -i. List the prime factors of s\/((-252)\/9536) - 2\/(-18).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*u - 46, 0 = -2*j - j + 3. Suppose 5*c - u = 54. Solve -3*g - c = 5*v, -4*v + 2*v = 5*g + 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*t**2 + 243*t**2 + 522*t**2.\nAnswer: 634*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-308)\/(-1078))\/((2\/(-28))\/(2090\/(-260) + 8))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 736120 (base 8) to base 13\nAnswer: 87580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103022031 + 4?\nAnswer: -103022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 - (-433 + 435)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 13 = -r - v, -31 = -3*r - 5*v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -273 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -390 - -391. Which is the biggest value? (a) 0.1 (b) h (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -0*k + f - 15, -5*f = -4*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one quarters of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - x - 1 = 0, 5*x - 9 + 28 = -t. Which is the closest to -0.3? (a) t (b) 3\/8 (c) 23 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x - 46 - 66 - 58 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 2*o**2 + 5*o + 0*o**2 - 2*o**2.\nAnswer: -o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.09, -141\/2, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 10 + 22 = 0. Suppose -z*t + 67 - 23 = 0. Suppose 5*i = 11*i. Solve i = 4*o + 4*c + 16, 4*o - c + t = -4*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2351960 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110210232033 (base 4) to base 14.\nAnswer: a056b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46a2 (base 11) in base 14?\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 3*h**2 + 1124*h**3 - 1125*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 7*s**5 + 125 + 8*s**5 + (s**2 + 5*s**2 + s**2)*(0*s**3 + 3*s**3 - 2*s**3).\nAnswer: 8*s**5 + 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63510 is divided by 1081.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 9 = -2*g, 4*k + 12 = 7*g - 3*g. Solve 40 = 5*w - 4*f, 3*f = -g*w - 7 - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76b + -5?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(245)*2)**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -122. Let c be (-40)\/(-14)*(-4 + d\/18). Sort -5, -2, c, 4 in decreasing order.\nAnswer: c, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 3*q**2 + 6*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -6\/5, 0.01, 2\/3, 4\/11 in decreasing order.\nAnswer: 2\/3, 4\/11, 0.01, -6\/5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 49. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26*j + 176. What is f(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 4*q = 35. Suppose -3*b + q = 4*u, 5*u - 1 = u - 5*b. Calculate the least common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 * 1.597.\nAnswer: 225.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (266\/(-19))\/(2 + 208\/(-103)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - l - 1)*(1 + 2 - 5) + 0 + 0 - 456917*l + 456414*l.\nAnswer: -501*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 - 6) - 2 - 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 9*y**2 + 4. Let f be x(9). Suppose 0 = -2*i - 4*o - 24, 5*o = -29 + f. Let k be i\/40 + (-2)\/10. Put k, -1, 1 in descending order.\nAnswer: 1, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 - 198 = 4*a - 4*b, 4*a - 2*b = 26 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -14, -17, -18, -17, -14, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Suppose b*d + 0 = 5*c - 3, -5*d + 18 = c. Calculate the remainder when 4 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(1 + 2*l - 1)*(-3*l**3 + 4*l**3 + 3*l**3) + (-1 - 4*l + 1)*(-34453*l**2 + 34453*l**2 + l**3 - 3).\nAnswer: -20*l**4 + 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546 - 284 = -317*r - 151 + 272 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - z = -90, -21 - 54 = -3*x + 3*z. Let b = x + -10. Solve -2*c - b = -5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12, -95, -234, -429, -680, -987, -1350?\n\"Answer: -28*g**2 + g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398*a = 915 - 119. Suppose -m - 2*p - 9 = -0, -p - 10 = m. Put -2, a, 4, m in ascending order.\nAnswer: m, -2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590 = 34*n + n - 425 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r + 1. Let h be i(3). Let l = -13 - h. What is the greatest common divisor of l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g. Suppose 2*x + 20 = 7*x - 5*d, 2*x - 14 = 4*d. Suppose a + x - 3 = 0. Let u(f) = -f - f - 2*f**a + 2*f. Determine u(r(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 3. Let o = 78 - 85. Let y(h) be the first derivative of h**3\/3 + 4*h**2 + 9*h + 2. Let v be y(o). Determine p(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -6 - (1 + 1). Let b be (4\/3)\/(2\/6). Suppose -4*d + 1 = 4*t - 123, -5*t + 126 = b*d. Solve -3*z + q*h = 35, -16 = 4*z - 5*h + d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m - 13. Give q(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.343 - -0.188. Is 0.1 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -20\/3, 5, 1\/5, -1, -20322, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1. Let g(z) = z + 1. Let p(a) = 5*g(a) - 4*i(a). Let u(d) = -5*d + 4. Let y(q) = 4*q - 3. Let o(c) = -3*u(c) - 4*y(c). What is 3*o(w) + p(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 1. Let i(m) = 4*m + 4. Let q(x) = -i(x) - o(x). Does 17 divide q(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.4 and 21997.7?\nAnswer: -118787.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -834 + 838. Let o = 46 - 23. Suppose t*s - 97 = o. Calculate the lowest common multiple of 18 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/15*5\/4. Suppose 3*q = 4*r - 3*r + 2, 4*q - 9 = -5*r. Let i be (-1)\/(1\/r*-4). Which is the closest to i? (a) g (b) -2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 12. What is the third derivative of 4*a**4 + 3*a**2 - k*a**4 + 7*a**4 - 6*a**2 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 40. Let q be f(22). Calculate the highest common divisor of 72 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 - -14237?\nAnswer: 14219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 660*f + 866. What is h(0)?\nAnswer: 866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -1\/2 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 3 + 3)*(-7 - 3*f + 7)*(-3 - 2*f**2 + 3).\nAnswer: -12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*h = -792*h + 96 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 6*w**2 + 5*w + 4. Let m be v(-5). Let t = m + -1. Solve -z + 0*z + t = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 169731902 divided by 461\nAnswer: 368182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -13*l + 18. Let c be o(-5). Suppose c = -9*s + 29. Let v(x) = x**3 + 9*x**2 + 9*x + 8. What are the prime factors of v(s)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/17, -4, -7\/6, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0184 + -37.9816. Let w = 2\/411 - -812\/2055. Is q at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 1\/60*s**5 + 0 + 0*s**3 + 0*s**4 + 20*s**2 + 0*s. Let u(h) = -4*h**2 + 8*h. Let k(p) = u(p) + 8*w(p). Factor k(f).\nAnswer: 4*f*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c + 33. Let l be s(13). What is the first derivative of -2*i**2 + 28 - 2*i**2 + l*i + 6*i**2 - i**2 wrt i?\nAnswer: 2*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -52241.\nAnswer: 5\/52241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2436688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -138.\nAnswer: -49\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2879596 * -0.3.\nAnswer: 863878.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 6, -4, -35, -4528, 4 in decreasing order.\nAnswer: 6, 4, 1, -2, -4, -35, -4528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.35*0.08.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 16. Let y be t(-14). Suppose 0 = -0*a - 4*a + 8. Differentiate 93*u**2 - 1 - 197*u**a + 82*u**y with respect to u.\nAnswer: -44*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 17 = 5*b - 10*b, -2*n - 26 = -5*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 at most -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44194 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 299.013 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04245906 rounded to four decimal places?\nAnswer: -0.0425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 156?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -220 + 655\/3. What is the biggest value in 0, u, -0.19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462, -460, -458?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295, 297, 299, 301, 303?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*(8 - -1). Let a be (8\/(-14))\/(2 - 132\/63). Let u = w + a. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose 0 = -i*p - p. Solve 4*z - 5 + 1 = p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262187134 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) -2 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 6469.554.\nAnswer: 6465.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(176) + 3)*-3)**2 + (sqrt(176) + sqrt(176) + sqrt(176)*-3*5 + sqrt(176))*-2.\nAnswer: 2040*sqrt(11) + 14985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769*s - 3 = 768*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 8*l**2 + 6*l + 9. What is r(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - h = 3*l - 3, -2*h - l - 11 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from -0.2128.\nAnswer: 18.7872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-four thirds of a day?\nAnswer: 35520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 2 (c) -134 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 549 = -5*u. Suppose -i = -3*d - 44, 2*i = -2*i + 5*d + u. Suppose 0 = 2*w + i - 169. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:41 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 13 = -a - 8, -2*g + 15 = -5*a. Let u be 1 + (g - 1) + 1. Suppose d - u + 3 = 0. Solve d*m + 24 = -5*j + 2*m, 0 = -j + m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.2 - -318.2. Let s = 267.99809 - d. Round s to 4 dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 15. Let j(y) = y**3 + 13*y**2 + 10*y + 9. What are the prime factors of j(v)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + -2223?\nAnswer: -2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 15\/(-6))*0. Solve 5*b + w*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 10. Let v(s) = 3*s**3 + 32*s**2 + 17*s - 24. Let d be v(-10). Let t(u) = u + 11. What is d*w(b) + 5*t(b)?\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 - 9*u**2 + 6 + 9*u**2 - 3*u**3 - u**3 + 3*u**3 + (0*u + 2*u - 3*u)*(u**2 + 3 - 3) to b*u + w + h*u**2 + j*u**3 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 5992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 972671.94 - 0.211\nAnswer: 972671.729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*w**2 + 217*w**2 + 197*w**2 + 12 + 206*w**2 - 6 + 203*w**2.\nAnswer: -9*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Let a = o - 4. Which is smaller: 1\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/7 - 1836759*a**2\/7 + 281150403909*a\/7 - 3092432199153\/7.\nAnswer: 3*(a - 306121)**2*(a - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 362 + 362 - 15*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026\/42*(-2)\/(-9)?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:29 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 2)*((-4 + 5 + 5)*(1 - 1 + 2*x) + 3 - 3 - x)*(-1 - 1 - 8) as v*x + i and give v.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 82*z - 3 - 37*z - 30*z**2 - 47*z. Let i(r) = 30*r**2 + r + 2. Let g(d) = 3*i(d) + 2*m(d). Calculate g(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -705 - -158. Let x = 797 + h. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 21 = 1037*l - 1036*l, -33 = -o - 7*l for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3359, -3750, -4141, -4532?\nAnswer: -4923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2292, 9122, 20486, 36384?\nAnswer: 56816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.081 + -46.919. Let s = -47.000062 - i. Round s to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 635 - 635.0748. What is x rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343553 (base 6) to base 10.\nAnswer: -76029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -6*l - 1. Let i(a) = -a + 1. Let w(c) = 2*i(c) + x(c). Let p be ((-539)\/14)\/11*-4. Let q be -1 + 96\/(-84)*p\/(-4). Give w(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17185800 + 126698.\nAnswer: -17059102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -24*q - 32. Let z(v) = -v - 1. Let f(p) = 3*a(p) - 96*z(p). Let b(y) = -2*y**2. What is b(f(s))?\nAnswer: -1152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v. Let w(q) = -82*q**2 + 51071*q + 1. What is d(w(y))?\nAnswer: 164*y**2 - 102142*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 234859 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 1 + q**2 - q**2 - 2*q - 1. Let j(w) = -w - 1. Determine -3*j(n) + 2*r(n).\nAnswer: -2*n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n + 3*n - n + (1 - 2 - 2)*(-91 - 30*n + 29*n + 79) in the form p*n + d and give d.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.7 (b) -1\/97 (c) 4 (d) 0.5 (e) -4 (f) -6482\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -1. Let q(g) = 13*g + 42. Let l be q(-3). Let h = l - d. What is the greatest common factor of 33 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 58. Suppose r*v - 3 = 25. Calculate the least common multiple of 93 and v.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let w be 26\/3*(p + 32). Suppose 5*d - 6*d = -s - 23, 2*d - s = 49. What is the highest common factor of w and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 593311 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/559 + -701\/33540. Let a(b) be the second derivative of 0 + 1\/15*b**3 - h*b**4 - 1\/10*b**2 + 22*b. Factor a(s).\nAnswer: -(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*i - i + 33165 - 4*i - 33167.\nAnswer: 8*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 - 232. Let v = 173.00000131 + q. What is v rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 60*w**3.\nAnswer: 5*w**3*(w - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**7\/147 + 2*c**6\/7 - 9*c**5\/10 + 16*c**4\/21 - 238*c. Factor t(r).\nAnswer: 2*r**2*(r - 1)**2*(r + 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 - 7*o - 7. Let b(i) = 3*i**2 + 5*i + 5. Let t be (3 + 1)*(3 + 5\/(-4)). Let p(f) = t*b(f) + 5*h(f). Let g(m) = 10*m**2. What is p(g(x))?\nAnswer: -400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3.7, 0.05, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -5. Let n(a) = -a**2 + 6*a + 3. Let h be n(x). Let z = -1 + -2. Are h and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*l = -23, 4*c = -4*l + 1 + 3. Suppose 0 = n + p - c, 5*p - 4 = -2*n + p. Suppose -g = -1 - n. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23359 + -13609. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1113 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 714*a**4 - 185*a**3 + 506545*a wrt a.\nAnswer: 8568*a**2 - 1110*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 7:16 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20.1 + -19.7. Sort n, 5, -25 in descending order.\nAnswer: 5, n, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**2\/2 - 3*h - 2. Let o be s(6). Let t = -2 + 2.3. Put o, 1, t in ascending order.\nAnswer: t, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37957232?\nAnswer: 2, 2372327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**47\/(o**(-1\/7)\/(o**(-2\/13)\/o)))**(-16\/7) assuming o is positive.\nAnswer: o**(138336\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -16*r. Suppose r = 3*n + 3*f - 111, -45 - 87 = -3*n + 4*f. Suppose -3*m + 9 = -6. Calculate the greatest common factor of n and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3)*((r + 2 - 2)*(-2 - 3 + 7) + 0*r + 0*r - r - 17*r + 32 - 32).\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4. Suppose -2*p - p + 54 = u. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10965)\/6579*(-48)\/25?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4450*g**2 - 183*g + 1048. Let s be j(6). Round s to the nearest 1000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -217709029.\nAnswer: -217709029.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)\/x**2)\/(x**(-3\/4)\/(x*x\/x**(-3\/7)*x)) assuming x is positive.\nAnswer: x**(605\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8) + (-81)\/(-12). Suppose f = -5*n + 27. Let k(a) = -5*a + 5*a - n*a + 6*a. Let r(c) = 3*c**2. Calculate r(k(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29.41*-1172.\nAnswer: 34468.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 1156482780*f - 111454368369710700.\nAnswer: -3*(f + 192747130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 59*l**2 - 6775*l - 40. Calculate a(115).\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0471 - 0\nAnswer: 0.0471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14338468.974500239 + -14338469. Let v = a + 0.0255. Round v to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 4)*(-20*g**3 - 33*g**3 + 16*g**3) as z*g**2 + r*g + u*g**3 + x and give u.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 106*c**2 - 310*c + 471. What is the tens digit of f(109)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 27*c + 181. Let s be z(-12). Let g(d) = -d**3 - 12*d**2 - d - 3. Let l be g(-12). List the prime factors of (l + -10)*-153*s.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s - 869*s**3 - 7 + 1752*s**3 - 20 - 877*s**3 as m*s + r*s**3 + z*s**2 + q and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 3*y = 21*a + 12, -3*y = 6. Let f = 2\/201 + 124\/1005. What is the nearest to -0.1 in f, a, 1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/406*(-2)\/(-91)*7?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llmpmlml. Give prob of sequence pmll.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03 and -337776.2.\nAnswer: -337776.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -19*h - 1\/12*h**4 + 0 - 1\/20*h**5 + 70*h**2 + 0*h**3. Does 10 divide m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51602781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -33*c. Let p(v) = -1812*v. Determine l(p(r)).\nAnswer: 59796*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - (-1 + 0))*-1. Let g be (-1 + -2)\/(8\/56). Let c be g\/h*1*4. Calculate the greatest common divisor of c and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5323 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + u - 1)*(8*u - u + 5*u).\nAnswer: -12*u**2 - 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -47*s + 193. Calculate w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-4))\/(3*2\/6*465\/(-7905)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*t + 16 = -423*t - 18. Let q be (-2 - -6) + -2 - -31. Sort 2, q, 0, t.\nAnswer: t, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/7 - 690321168*l\/7 + 119135828747221056\/7 = 0. What is l?\nAnswer: 345160584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/13)*j*j**(-8\/7)\/j)**(2\/21)\/(((j\/(j**(-2\/13)\/j))\/j*j*j\/j**6)\/((j\/(j\/((j\/j**(-2\/17)*j*j*j)\/j)))\/j*j**(1\/4))) assuming j is positive.\nAnswer: j**(669091\/129948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 306?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/39808 and 111\/448.\nAnswer: 278656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/45)\/w)\/w)\/w**(-10)*w*w**(-16)\/w*(w\/w**(-8\/3))\/w assuming w is positive.\nAnswer: w**(-242\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -283, -859, -1959, -3757, -6427?\nAnswer: -10143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1267 - 1144 + 32*q - 123.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -74*z + 513. Let u be b(7). Sort -4, -2, u, 140.\nAnswer: u, -4, -2, 140","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 - -22. Let n = -6 + q. Let k be 0\/n*(3 + -2). Is k less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 8}. What is prob of picking 1 f and 1 v?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6156 + 6156. Solve -3*v + 15 = 0, p = -w + v - 2*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.7 times -1074730\nAnswer: 11499611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9339 and 8613.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/2 + 1)\/1. Suppose -21 - 4 = -5*f. Suppose -f*q + q = 0. What is the biggest value in q, -2, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -605181*z**2 - 64*z + 605266*z**2 - 14*z**3 - 16*z + 15 - 6*z**3 = 0?\nAnswer: 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 123?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4575*k**2 - 7*k - 23. Is i(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = 2. Let u be (i\/3)\/((-1)\/18). Suppose 2*v = -v + u. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 995220.9 millimeters?\nAnswer: 995.2209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*s**2 - 3*s + 17*s - 2*s - 5*s - 1 to the form a*s**2 + k*s + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3)\/6*30. Suppose 0 = 4*c - c - 63. Let k = u + c. 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: Solve 1301*b + 130913 = 4494*b for b.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 96 = 3*k + 111, 8 = -4*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4591 is divided by 4520.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11)*2) - 4*2*sqrt(17))**2.\nAnswer: 3825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -95. Let g = -24 - -10. Is g < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46086, 46104, 46118, 46122, 46110?\nAnswer: 46076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6475*l**3 + 135*l + 17 wrt l.\nAnswer: -38850*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*j - 1070 - 184 = 185*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 10*n = -2. Suppose 3*w - 6 = w + r, -n*r = -w. Solve d + w*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -476, -1449, -2856, -4631, -6708, -9021, -11504?\nAnswer: -14091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 328741 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, o: 8}. What is prob of sequence mmm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.67443 days in hours?\nAnswer: 2224.18632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91\/(6240325\/1899))\/(3\/(-5)).\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11808*l**2 - 7*l + 5673329?\nAnswer: 23616*l - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-17))**(-3\/11)\/(z\/z**9*z**(4\/5)\/z) assuming z is positive.\nAnswer: z**(706\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 5) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804722438?\nAnswer: 2, 3, 359, 837847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15875782*x**4 + 7184196*x**2 wrt x.\nAnswer: -381018768*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 3901327687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 - 19*x + 4. Let f(b) = -b**2 - 3*b + 24. Let g(a) = -41*a + 240. Let m be g(6). Let l be f(m). Calculate q(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1788*g**2 - 753 wrt g.\nAnswer: -3576*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r = -90. Suppose -5*w + 4*n + 49 = 0, 0*n + r = 3*w - 3*n. Suppose -2*a = -w - 7. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1858*h**2 - 239*h wrt h?\nAnswer: -3716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 176792601 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 147 + -54 + 1 + -86?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124.5 - 124.9. What is the closest to 1\/4 in 0.2, -2, 4, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + -0.01. Let h = -0.96 - j. Let z be (-3*3\/90)\/(4\/(-30)). Which is the nearest to h? (a) 0.4 (b) z (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/48490 and 13\/400975.\nAnswer: 10425350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*a - 41 = 66. Which is smaller: -4\/197 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.6 - 2.9. Let a = 0.3 - -0.2. Let d = a + y. Round d to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151.9202596791 + -156.56637627. Let w = -0.5661163779 - d. Let h = -4.08 + w. Round h to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(684) + -2 + sqrt(190)\/(-3*sqrt(20)\/sqrt(2)).\nAnswer: 17*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -3\/2*o**2 - 82*o + 82 + 4*o**3. What is the derivative of g(m) wrt m?\nAnswer: 24*m - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*h**2 + 0 + 3\/8*h.\nAnswer: -h*(h - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2192, 4332, 6472, 8612?\nAnswer: 10752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -28 (c) 0.5 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(176))\/sqrt(4))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times -25.26?\nAnswer: -22.734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2299) + 2 + -4 + -2*sqrt(2299) - (2 + sqrt(2299) + 5 + sqrt(2299) + -1 + -1))*-4)**2.\nAnswer: 17248*sqrt(19) + 1803200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (522*o - 243*o - 106*o)*(-6 + 4 + 4)*(-11 + 1 + 2).\nAnswer: -2768*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/8)\/((-2)\/4))\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 2975.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 = -16. Suppose 6*j - m = 4*j. Suppose -3*z = z + v - 200, -4*z + 196 = j*v. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 2 l when four letters picked without replacement from {z: 2, e: 1, t: 2, k: 4, l: 3, j: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3346 - 1.636. Let j = -0.3 - d. Round j to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1121116*g**3*m**3 + 182*g**3*m**2 + 4*g**3 + 2*g**2*m - 2*g*m**3 - 10*g - 3*m**2 wrt m?\nAnswer: -6726696*g**3 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 40 = 2. Let z = 188 + -90. Let w = z - 56. What is the greatest common divisor of w and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/184 and -13\/322?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/19)*y*y**(-1\/22)*(y**(10\/9)\/y)**(-1\/20))**(-9) assuming y is positive.\nAnswer: y**(-47581\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25092340 divided by 5018468.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/(-125))\/((-2)\/5). Suppose 4*d - d = 0. Sort -5, d, g, 1\/5 in increasing order.\nAnswer: -5, d, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.18, -1\/2, -0.3, -2\/3, 0.3, -105?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 3*a = 11*v + 164, 4*a - 16 = 0. What is the highest common divisor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 132 (b) 2\/21 (c) 1\/6 (d) -1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27395978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - d - 4)*(2 + 3 - 3)*((-21 + 43 + 91)*(9*d**3 + 5*d**3 + 0*d**3) - 3*d**3 + d**3 + d**3).\nAnswer: -3162*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 55*j + 1. Determine x(-1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 221?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-232)\/(-174)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 819 and 20916.\nAnswer: 271908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 2. Let g be o(0). Suppose a = 5*r + 22, a + r = -0*r - g. Solve -3*d + a*n = n - 8, -5*n = 5*d - 20 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260061 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*q = 10999984, 0*s = -2*s - 4*q - 4400016. What is s rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*v + 503, 221 + 1228 = 3*i + 3*v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5313, -5290, -5267, -5244?\n\"Answer: 23*y - 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12802106, 25604218, 38406330?\n\"Answer: 12802112*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8644*r**2 + 5*r. Let a(v) = 21612*v**2 - 12*v. Determine -5*a(i) - 12*d(i).\nAnswer: -4332*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 240\/957 + (-2)\/11. Let m(x) = x**3 + 7*x**2 - x - 7. Let k be (-3 - -4) + -4*2. Let g be m(k). Is g at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17317 and 3?\nAnswer: 51951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 1214.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**4 - 2*u**4 + 3*u**4)*(26 + 22 - 59).\nAnswer: 22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 0, -4, -1 in increasing order.\nAnswer: -41, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 380324 divided by 5593?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*j - 7495 + 66715 = 0 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4, 386, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 4, j: 9, i: 1, z: 5}. What is prob of sequence ni?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 867281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 116 - 25. Let k(r) = -11*r + 2. Calculate the remainder when k(-2) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23 and 46.\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1806000 rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-28) - (-4305)\/(-1230))\/(0 + (-3)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*(5 + -3). Let m = 6 - b. Calculate the remainder when 10 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22835080 to the power of 1\/2, to the nearest integer?\nAnswer: 4779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 308698.7148057 + -308700.76. Let t = -12.2452016 - r. Let u = 10.2 + t. Round u to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208\/7 <= 501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4 + 1. Let q be w + (11 - 12\/4). Solve 2*f + 1 = -q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (36\/(-42))\/((-6)\/28). Suppose p - k = -c + 4*p, 3*p - 9 = -5*c. Let z = -327\/7 + 2721\/56. Is z >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5684 = -l. Suppose h = 5*k - l, -3*k - 5*h + 1445 = 2*k. Suppose 0 = -7*p - 8*p + k. What is the greatest common divisor of p and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 186, 201, 236, 297?\nAnswer: 390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (3 - -6) - -7. Suppose 323 = -b*j - 412. Is j less than or equal to -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuc when three letters picked without replacement from {k: 3, z: 1, r: 2, c: 4, u: 6, e: 3}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 8*m - 12. Let p be o(-6). Suppose h - 7*h + 66 = p. Let w = 11 - h. Solve w = 4*n - 5 - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -1. Let d = c + 22. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 1.29. Let f = -0.29 - -0.48. Let s = f + n. Which is the third smallest value? (a) 0.3 (b) -8\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -778*p + 244061 = -4779*p for p.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 14, 35, 54?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g + 111. Let f be (-26*(-4 + 3))\/((-99)\/(-198)). Let v = f + g. Which is bigger: v or 13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {c: 2, l: 9, g: 1, q: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -53.85 and 3?\nAnswer: -161.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52263736 by 3733124.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 345*k**3 - 5*k**2 + 32*k - 28. Is d(4) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 77, 167, 293, 455, 653?\nAnswer: 887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 316570635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 41 - 44. Let s be (-11)\/22*2*-13. Let q = h - s. Solve 2*n + 14 = -4*t, -q*n + 2*t = -6 - 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130 = -12*c + 2*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -10*w + 21. Suppose -w*d + 12 = -0*d. Suppose -2*m - d*p = 3*m - 2655, -m + 550 = -3*p. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3750 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.1 - -1.7. Let p = -37 + 35. What is the closest to 0.1 in -5, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 3:14 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.078110629 to 3 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 - 3*q**4 + 3*q**4 + (-5 + 6 + 2)*(-3*q**4 + 0*q + 0*q).\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, x: 1, w: 2, y: 1, n: 1}. What is prob of sequence xr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 101*n**2\/2 + 209. Let q(w) = -6*w**2. Determine q(c(x)).\nAnswer: -61206*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/3))**(-18) assuming a is positive.\nAnswer: a**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:13 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/3))**45*n**(-2\/7)\/n*n**(-1\/3))\/(n**5*n\/(n\/n**6*n))**(-17\/4) assuming n is positive.\nAnswer: n**(2347\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13644801 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 93.68. Let h = -0.08 + t. Let p = h + -6. Put p, 4, -1 in increasing order.\nAnswer: -1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/7 - 20652*u\/7 - 4038912\/7 = 0 for u.\nAnswer: -192, 10518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323138138.\nAnswer: 2, 41, 53, 74353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.37 - -60. Let b = 0.33 - g. What is the third smallest value in b, 3, -0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396339*-29.\nAnswer: 11493831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*h**5 + 15*h**5 + 8*h**5 + (-h**3 + 0 + 0)*(-5*h**2 + 2*h**2 + 2*h**2).\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688, -689, -690, -691, -692, -693?\nAnswer: -694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18434 is divided by 3464?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49441739?\nAnswer: 53, 932863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4571, 4891, 5425, 6173, 7135, 8311, 9701?\nAnswer: 11305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 34*o**2 + 41*o + 32. Let z be m(33). Suppose b = 2*b + x - z, x = -2. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 19*g - 25. Let q be n(9). Differentiate -1645*r**3 - 81*r**4 + 1645*r**3 - q with respect to r.\nAnswer: -324*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + -7 - (-32 - -29).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 6:49 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 1. Let l = o - -9. Sort 5, l, 4.\nAnswer: l, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 + ((-446302848)\/(-22176))\/(-172)?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 20. Suppose -p = -y*p. Suppose -3*i + p*i = -6. Let s(h) = h + 1. Let r(q) = q + 1. What is i*s(g) - 3*r(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v - 6. Let u(c) = -1. Let o be -7 - ((3 - 1 - 7) + (73 - 76)). Calculate o*x(m) - 5*u(m).\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 279157? (a) 153 (b) 2\/5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*g + 6212, 25*v - 27*v = 3*g - 4666. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 24*w**2 + 36*w.\nAnswer: 4*w*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 9 = -159. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2 - 23*x + 33*x + 6 + 6. Let y be w(-1). Suppose 12*d - 7*d - 2095 = y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t**2 - 2*t + 4. Let z be u(-4). Let s be (-4)\/14 + z\/(-14). Solve -2*j + 5*j - 2*a = -2, 2*j + 2*a = -s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838 is divided by 1657?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16973881\/953 - 17811. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -u - 5, 4*k - 3*u + 8 = -33. Let x(o) = -9*o - 78 - 7 + 18. What is the remainder when 39 is divided by x(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215298?\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -583*c**4\/24 + 5*c**3 + 153*c**2. Let b be q(10). Round b to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*w**4 - 2*w**2 - 83*w**4 + 8*w**3 + 0*w**2 to f + l*w + p*w**3 + r*w**2 + a*w**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/6*(-138)\/7. Let h = 66 + j. Which is the third biggest value? (a) -0.4 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4861 + 0.4.\nAnswer: -4860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2. Suppose -3*u - 5*t = 2*u - 15, t + 13 = 3*u. Let f(c) = c + 3*c - u*c + 2*c. What is f(n(m))?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 - -20.6. Let m = b + -59. Let q = m + 37.895. What is q rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 2715?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.607311ml in litres?\nAnswer: 0.000607311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-10 + 9)\/(-1)*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275120\/1309 greater than 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*i + 3*i - 2*i)*(-2*i + i + 0*i) + 23*i**2 - 52 + 52 - i**2 + 3*i - 3*i)*(2*i**2 - 1 + 1) to r*i**3 + x*i**4 + g*i**2 + p*i + w and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-5*((sqrt(35) - sqrt(70)\/(sqrt(2) - (sqrt(2)*1 - sqrt(2)))) + sqrt(35)))\/(-6*((sqrt(125) - -2*sqrt(125)) + sqrt(125))))**2.\nAnswer: 7\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = s - q + 6, 3*s - 3*q = -6. Suppose 0 = -g - 5*b + 32, -4*b + 33 = 4*g - 3*b. Let t = g - 3. Solve -t*c + 3*c + 4 = s, 0 = w - c + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007334498 to seven dps.\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*n - 44*n + 91728. Suppose -3*w - n = -3*j, -8741 = -4*j + 9*w - 4*w. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 527 + -517. Let r(g) be the first derivative of 7\/3*g**3 - c + 0*g - 2*g**2. What is the second derivative of r(s) wrt s?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*t + 2012 = -88*t. What is v in 35*v**2 - t*v**3 + 20*v**5 - 10 - 25*v**4 + 0*v**5 + 448*v**3 + 35*v = 0?\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 987785 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -103c?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ztztzzzt. Give prob of sequence ztt.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Let g be 2 - (1 - (p + 2)). Solve 5*m = v - 16, 0*m - g*m - 7 = 2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h + 2)*(-2842*h + 134*h**3 + 2842*h) - 2*h**3 - 3*h**4 + 2*h**3 + (5*h**3 - 5*h**3 - 2*h**3)*(-3*h + 5*h - 3*h).\nAnswer: 133*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247496279 divided by -4?\nAnswer: 1247496279\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56150257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(1166*k - 2238*k + 1739*k).\nAnswer: -1334*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 30) + ((18 - 25) + (2 - -82) - -7)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -3. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -5 - 3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1017?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*n + 6959, 6*o - 4*o = n + 4648. Let w = 1523 - o. Let i = w - -8810\/11. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289327419416 + -289326834726.000034. Let f = -584680 + x. Let a = f - 10. Round a to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.1 - 18. Let h = -0.1 + g. Which is the nearest to 2\/13? (a) 0.4 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-2) + 0\/1. Sort g, -2, -31 in increasing order.\nAnswer: -31, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3259 times 0.72181\nAnswer: -0.235237879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3*h, 7*h - 6*h = a - 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270 - 772 + 502 + 4*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 903 - 21. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3142 - -3143. What is the closest to 1 in 0, 0.4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 = 1. Let i be k\/(-2)*-1*-26. Suppose -d + 3*t + 8 + i = 0, -4*t - 12 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 293 - 5?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-54)\/(-13) - (2002\/(-169) - -12). Let h = 2.14 + -0.34. Which is the smallest value? (a) -8 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2281 by 26510.\nAnswer: 2281\/26510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9304440 and 155074.\nAnswer: 9304440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/76, 0.3, 3, -0.12?\nAnswer: -5\/76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*r**2 - 2*r + 5.\nAnswer: (r - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-1 + 1))*-2. Let b(i) = 0*i**d + 0*i**2 + 3*i**2. Let r(c) = -c**2 - c**2 + 4*c**2. What is r(b(s))?\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12439 + -273567\/22. Calculate the common denominator of 13\/4 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i + 4*i + 1 + 2 + 4*i. Let r be q(3). Solve 2 = -5*d + r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 17472?\nAnswer: -17475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3087, 9515, 20235, 35253, 54575, 78207, 106155, 138425?\nAnswer: 175023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -1 (c) -21.77 (d) -1\/2 (e) -22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21241 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -59936 (base 14) in base 2?\nAnswer: -110101010111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y. Let p(s) be the first derivative of -4*s**2 - 7*s - 136. Let i(t) = 1 - 7 + 0 - 7*t. Let c(u) = -7*i(u) + 6*p(u). Calculate d(c(z)).\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 397a9 (base 14) to base 6\nAnswer: 3010533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 24360 = -28*c. Calculate the greatest common factor of c and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(450))**2 - sqrt(50)) + sqrt(242) + 2 + ((sqrt(24)*-2)\/sqrt(12))**2.\nAnswer: -4*sqrt(2) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -1 + 0 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*h = -4*w - 1, -9 = -w + 3*h. Solve 4*k - 2*d = 0, 0 = -d + w*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 111 = 3*d, 0 = 4*d - 0 - 4. What is the tens digit of (u\/(-12))\/((-69)\/24 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 245 - 121. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 72. Let j be d(-69). Solve 0 = -4*k - 3*m + 24, k + 4*k + j*m - 27 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 11*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 24764190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 + 3 - 6)*(2*i - 3 + 3) + 0*i - 2*i + 5*i + 2 - 2 + 2*i + 0*i - 17*i - i)*(33*i**2 - i**2 - 5*i**2) as f + w*i**3 + z*i + h*i**2 and give w.\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Suppose 2*f = -5*m + 4, m + 5*f - 13 = -h. Let o(t) be the second derivative of -t**5\/20 + t**2\/2 + 751*t. What is o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.27 - 27. Let a = s + -0.37. Let f(j) = j + 2. Let v be f(-2). What is the closest to a in v, -6, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*o + 18 = 691*o - 2*f, 2*f = -4*o + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*9\/27*(108\/(-5))\/(-12)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/14 - 10\/35. Suppose -4*u = -22 + t. Let q be 0 - (-4)\/(u - 1). Solve -3 + q = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g. Let n(x) = -2*x. Let u(p) = 6*n(p) - w(p). Let v(d) = -3*d + 0*d + 5*d. Determine v(u(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 3335323 and 3335319 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**4\/3 - 5*u**3\/2 + 6*u**2 - 3*u - 1. Let v be c(-4). Is 8 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 135600951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20519473 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -763.895 - -764. Is y at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/3)\/((-20)\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 196283291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -435 - -433. Put -1, v, 0 in descending order.\nAnswer: 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 10) to base 3.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2582476307 + -0.4499.\nAnswer: -2582476307.4499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1959*k**3 + 5*k**2 - 21*k + 7. Let i(s) = -980*s**3 - 2*s**2 + 9*s - 3. Give -7*i(d) - 3*o(d).\nAnswer: 983*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3) + 48488\/27588.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4821 - 48?\nAnswer: -50.4821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 a, and 1 i when three letters picked without replacement from {r: 2, x: 7, i: 7, a: 2}.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 18*q**2 + 16*q + 18. Let a be t(-5). Solve -a = 13*o + 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**3 + 223791*h*o**3 - 5*o**3 - 24*o + 260 wrt h?\nAnswer: -12*h**2 + 223791*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7253250 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -2 - ((5 - 0) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 1)*(-3 + 2 + 0)*(2*n - 2*n**4 - 2*n) + (223*n - 126*n - 167*n)*(-3*n**3 + n**3 + n**3) as a*n**2 + v*n**4 + g + z*n**3 + h*n and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**5 - 364324*s**4 - 201915*s**2 wrt s?\nAnswer: -120*s**2 - 8743776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 45187978.\nAnswer: -5\/45187978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-80 - -63) + -81 - -40\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 + -2493648?\nAnswer: -2493436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 33 = -4*s, -2*s + b - 384 = -375 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2996630005?\nAnswer: 5, 599326001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7068)\/(-465)*(-140)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104269113*r + 104269113*r - 5*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4412761\/18 + -245258. Let i = 305\/3 + o. Calculate the common denominator of i and 150\/114 + 2\/(-4).\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 257 + 4*c**2 - 268 + 0*c to b + m*c + g*c**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 3*v**3 + 0*v**3 + 11*v + 9*v.\nAnswer: 3*v**3 + 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11257874231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 189 - 9388\nAnswer: -9199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 - 3*n**2 - n + 4. Calculate the remainder when w(3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - k - 175 - 94 = 0, -3*n + 249 = 3*k. Find the second derivative of -203*u**3 - 27*u + n*u**3 + 92*u**3 - u wrt u.\nAnswer: -138*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 + 1565344?\nAnswer: 1565242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17938 divided by -2728.\nAnswer: -8969\/1364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 240\/(-14) - 64\/448.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + 4. Suppose 0 = -3*d - 2*f + 25, -5*f + y + 0 = 0. Suppose 0*b = 3*g - 3*b + 3, -g = 5*b - d. Solve g*z + 6 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001455614823 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/53229371?\nAnswer: 2\/53229371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(13 + 414\/(-36)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/12*12\/(-10). Suppose z + t*x - 12 = 0, 3*z - 5*x = 2*z + 3. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f8 (base 16) to base 15.\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1586*n**4 + 759*n**4 + 228*n**4 + (-5*n**4 + 2*n**4 + n**4)*(2 + 0 - 1) to the form l*n + c*n**3 + h*n**2 + k*n**4 + o and give k.\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 149. Let z(n) = n**2 - 11*n - 1. Determine z(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l + 5*l + 4*l + l + 0*l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/5 + 64413*t + 14808642\/5 = 0.\nAnswer: -107309, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -49. Let p = -364 + 371. What is the remainder when w is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 2, -7 in increasing order.\nAnswer: -17, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 459, 406, 325?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/592 and -3\/44.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 18 + 38. Let v(m) = m**3 + 25*m**2 - 3*m - 22. Calculate the remainder when v(-25) is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 17*w**3 + 4*w**2 + 5*w - 5. Let c(u) = -u**2 - u + 1. Give 5*c(k) + g(k).\nAnswer: 17*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-608)*12 - (-12291)\/(-34)*1\/6.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 1 = -1124*q + 1119*q, -h = -5*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + n - 4*d - 6, -2 = d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138 + -147. List the prime factors of 164 - -6*6\/m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38863.9 - 38864. What is the third biggest value in -38\/43, 0.4, h?\nAnswer: -38\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/3)\/5 + -8*4\/(-8).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11212 (base 6) to base 14\nAnswer: -81a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lyvlllltlvllttllltl. What is prob of picking 2 t?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 22*f**2. Let w(a) = -73*a**2. Determine z(w(d)).\nAnswer: 117238*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -846.36 times -5\nAnswer: 4231.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00691145851 rounded to 4 dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k + 55 = t, 4*k = 2*t + 90. Suppose -4*s + 4*q + 44 = 0, 3*s + 0*q - k = -q. Solve 3*i + 12 = 3*u, 0 = -3*u - 2*i + 4*i + s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8733345 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -40829*f**2. Let d(c) = -412*c. Calculate d(u(y)).\nAnswer: 16821548*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let x = -0.012 + 49.012. Let j = x - 47. Sort j, k, -3 in decreasing order.\nAnswer: j, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + (-6)\/(-51) + (-16)\/(1904\/(-2485)). Let k be (-2 + 4 + -2)*-1. Put -2, -3, i, k in decreasing order.\nAnswer: i, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 434 and 186.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s = -100*s. Which is the third smallest value? (a) 1 (b) s (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -74*p + 3559. What is u(50)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/11)*f)\/f**(-9))\/(f**(-10)\/(f*(f\/(f*f**(-2\/19)\/f))\/f*f)))**(14\/11) assuming f is positive.\nAnswer: f**(64414\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + 5. Let x = i + -22. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (62\/310)\/((-3)\/(-225)). What is the highest common divisor of 6735 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001010001110001110110 + 101?\nAnswer: -1111001010001110001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5489 times 0.1\nAnswer: -548.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((70\/(-21))\/5)\/((-2)\/537). Let s = 536\/3 - u. Which is the third biggest value? (a) s (b) -1 (c) -2\/7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21155 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -20. Is 1\/4 + (-738)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 40 - (-18 + 1)) + -39.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -44*i**3 - 29*i**2 - 271*i - 38. Let n(l) = -7*l**3 - 5*l**2 - 45*l - 6. Give -19*n(h) + 3*v(h).\nAnswer: h**3 + 8*h**2 + 42*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -5, 48, -4 in descending order.\nAnswer: 48, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8973 - -89627\/10. Let u = 21 - 3. Calculate the common denominator of 4\/u - 49\/6 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1260)\/702*(-2 + (-8)\/20). Let d be ((-1766)\/(-884) - 2)*-1956. Let l = a - d. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-56) - 15\/(-105).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1. Let d be ((-1 + 1)\/b)\/1. Let r(f) = 3*f. Let x be r(1). Solve -i - 7 + x = d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -779 (base 12) to base 3\nAnswer: -1111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*y = -12. Let x(s) = 3*s + 9. Let o be x(7). Calculate the greatest common divisor of y and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -116*k - 146. Give d(5).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.24693489*-16\nAnswer: 3.95095824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8\/25 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/3 and -4256.547 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 18 = -86*c + 87*c + 4*w, 0 = c + 3*w + 32 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/805 and 107\/38962.\nAnswer: 194810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, 137, -1 in decreasing order.\nAnswer: 137, -1, -3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1247579201 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 7:49 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2837 + -2837.5. Let i = -0.1 + 8.1. What is the smallest value in 3, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21724?\nAnswer: 2, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 6*t = 3*t + 9, 0 = -2*l - 5*t + 22. What is the second biggest value in 2, l, 17\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 2. What is the common denominator of 5\/((-400)\/(-132))*(-70)\/12 and o\/2 + 17\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.025 * -10\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304) - (2*sqrt(2304) - sqrt(2304)))*6 - sqrt(2304))\/(sqrt(88)\/((sqrt(121) + (sqrt(121) - (sqrt(121) - (sqrt(121) - 1*sqrt(121)))))\/sqrt(11))).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1479 and 95149?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - t - 2. Let r be h(2). Let m = 3 + r. Sort 4, m, -5.\nAnswer: -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 155 - 67. Solve g*j + 3 = 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0181 times 2?\nAnswer: -0.0362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793*h - 740*h - 159 = 0. Solve 3*u + h*d = 5*d + 15, 0 = 5*u + 5*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 10:29 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 5) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 629, 1116, 1603, 2090, 2577, 3064?\nAnswer: 3551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7981 + -8027. Which is the second smallest value? (a) 0.02 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 757\/259 or 3?\nAnswer: 757\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 3 - 2) + 2. Suppose -25 = -3*n + 5*z, 7*z = -n + p*z - 25. Suppose 9 = i + 5*q - 3*q, 3*i - q - 6 = 0. Solve n*b + i = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {g: 2, l: 6, z: 1, b: 2, i: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4484, 8955, 13400, 17807, 22164?\n\"Answer: -2*n**3 - n**2 + 4488*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 111*c + 2850. Let p be i(40). Solve -3*x - 15 = 3*j, p*x - 8*x - j + 7 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -2\/3*m**3 + 0*m**6 + 0*m**2 + 0*m**5 - 2 + 0*m**4 + 0*m + 1\/7*m**7. Find the third derivative of z(s) wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (6*(sqrt(171) + ((sqrt(171) + (sqrt(171) - (sqrt(171) + 1 + sqrt(171))))*-3 - sqrt(171)))*5)**2.\nAnswer: 8099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6 - 12 + 7 + 0 - 3*d. Let n be t(-5). Suppose -3*r + n*w - 6 = 0, 11 = -4*r + 5*r + 3*w. Solve -h = r + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 1, 2\/1197, 2, 13, 557?\nAnswer: 2\/1197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -8, 0.5, -1\/2, 3\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v = -31*v. Suppose 2*p + 10 = v, -4*b - b - 30 = 3*p. List the prime factors of ((-102)\/(-9))\/((-4)\/b)*4.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -26 - 15*f - 26*f**2 + 53*f**2 - 28*f**2. Let v be x(-13). Suppose 5*d + 15 = 0, o - 17 = -v*o + 2*d. Which is smaller: o or 12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289098563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 963 and 194847.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 558 (b) -10 (c) -1 (d) -2 (e) -15\/2 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 5 - 6 + 2*d**5 + (-d**3 + 4*d**3 - 5*d**3)*(-d**2 + 4*d**2 - d**2) + 0*d**5 + 0*d**5 + 3*d**5.\nAnswer: d**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(363) + 2)*5 - sqrt(363) - (sqrt(363) - ((((sqrt(363) + 2)*1 - sqrt(363)) + sqrt(363) - sqrt(363)) + sqrt(363)))) + -4)*6 + -2)**2.\nAnswer: 97152*sqrt(3) + 844816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 48*f**2 - 142*f + 86. Is 26 a factor of n(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160164323 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 4*sqrt(152))*2 - -2*6*sqrt(152))\/(sqrt(40)\/(sqrt(5)*-4 + sqrt(5)) - (sqrt(8)*-1*6 + sqrt(8))).\nAnswer: 9*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 + 98. Solve 3*t = -12 - l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -85444, -170756, -256066, -341374, -426680, -511984?\n\"Answer: p**2 - 85315*p - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:22 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 9*i - 8. Let j be k(7). Calculate the highest common divisor of 78 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**2 - 34*i + 4. Give t(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 11:03 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-144))\/(9*8\/3).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - i**2 - 2*i + 1. Let n be u(2). Suppose -2*p = p - n. Suppose 0 = p*q + q - 16. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/306 and -131\/30?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*n - 26*n + 11*n - 3*n to d*n + o and give d.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g + 3. Suppose 0 = 4*d - 2*b - 2, 3*b + 11 - 32 = -2*d. Suppose -d = 22*h - 21*h. Give j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 181837296.\nAnswer: 181837296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 237 - 165. Let g = h + -71. Solve 4*b = -g - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35806 divided by -13?\nAnswer: -35806\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3170, -7366, -12554, -18728, -25882, -34010, -43106?\nAnswer: -53164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -46*k**2 + 20*k - 1. Let z(c) = 46*c**2 - 23*c + 1. What is -6*v(j) - 5*z(j)?\nAnswer: 46*j**2 - 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66845.\nAnswer: 5, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 8. Let s = 30 - v. Let y be (-318)\/(-21) + 4*(-3)\/84. What is the greatest common divisor of s and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 94\/18 - ((-2041)\/(-234) + (7 - 19))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -j - n - 22, 35 = -5*j + 5*n. What is the tens digit of 260\/25 - 6\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (-250 - -245) + (0 - 39)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11439.31 and -122.\nAnswer: -1395595.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*j**4 + 25*j**4 - 11*j**4 - 5*j**4 + 23*j**4 - 7*j**4 + (4*j**3 - 4*j**3 + j**3)*(j + 1 - 1) to x*j + a*j**2 + k + g*j**3 + u*j**4 and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -1.51 (c) -9 (d) -134 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l - 2*l)*(23 - 5 + 1) + (2 - 2 - l)*(-4 + 0 + 1) + 3*l - 2*l + 7*l - l + l - l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 0)*9*2\/12. Let h(n) = 0 - n**2 - 6*n + 1 + 2 + 3*n. Let c be h(j). Solve 2 = -g - c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/25)\/((g**(-8)*g)\/g))\/((g\/g**(-1\/5))\/((g**(2\/15)*g)\/g*g)))**(1\/5) assuming g is positive.\nAnswer: g**(589\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.071 - 70.929. Let z = -69.98 - v. Let l = z + -1.0149. What is l rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + 2*r**2 + 4*r + 0*r - 75)*(-2*r + r + 2*r).\nAnswer: 2*r**3 + 4*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694.5233ms to microseconds.\nAnswer: 694523.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -70*r. Let k(p) be the second derivative of -11*p**3\/6 - 124*p + 27. Determine o(k(w)).\nAnswer: 770*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12754 + 38261\/3. What is the third biggest value in 10\/437, f, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 4. Let h be m(-12). Let b(g) = -g**3 + 11*g**2 - 9*g - 6. Let r be b(h). Suppose 4*l = 2*z + 90 + 62, 4*z + r = 3*l. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/323 (b) 0.1 (c) -1\/422\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 1\/112*j**8 + 2*j**2 + 7\/20*j**5 + 1\/14*j**7 + 0*j**3 + 1\/4*j**4 + 0*j + 0 + 9\/40*j**6. Factor z(c).\nAnswer: 3*c*(c + 1)**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) - ((-3 + sqrt(567))*6)**2))*2 + (sqrt(1029) - sqrt(1029)*-2)\/(sqrt(147)*3 - sqrt(147)).\nAnswer: -7773*sqrt(7)\/2 + 41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 13 = -2*u + 17, 0 = 2*b - 3*u - 1. What is the second derivative of 34*s**4 + 49*s**4 + 6*s**3 - 3*s + b - 75*s**4 wrt s?\nAnswer: 96*s**2 + 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3\/5 + 47289*u**2\/5 + 175198569*u\/5 + 189563951283\/5 = 0. What is u?\nAnswer: -10961, -2401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x**3 - 9727*x**2 + 1392248*x - 245388 = 0. Calculate x.\nAnswer: 3\/17, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10125 + 10125.49998. Let o = 1.5 + -1. Let s = f - o. What is s rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(325) + 2)*-3 - (sqrt(325) + -2)*2)*-3*5)**2*-6.\nAnswer: -98767350 - 1215000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l**3 - 24*l**2 - 12*l - 14. Let k(s) = 2*s**3 + s**2 + 2*s + 2. What is 6*k(v) + r(v)?\nAnswer: 19*v**3 - 18*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 1. Let r(n) = 2*n**2 + 6. Let i(g) = -r(g) - 6*u(g). Let b(x) = -2*x**2. Determine i(b(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*k = p - 1, -2*p + 3 = -k. Let o(l) = 0 + l + 6 - 7 + p*l**2. Calculate o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-10)*(-20)\/(-6). Let t be (5\/((-30)\/d))\/(2\/(-6)). What is the nearest to -0.2 in t, -1\/4, 2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*9\/72*-20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxbq when four letters picked without replacement from {b: 2, w: 2, c: 1, x: 1, m: 2, q: 5}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 + 1293*b + 81920. Determine f(-56).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*r**2 - 8*r**3 - 1 - 416*r**2 + 566*r**2 + 0*r**3.\nAnswer: -8*r**3 + 792*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x - 16. Let n(i) = 2*i**3 - 7*i**2 - 5*i - 7. Let c be n(4). Let a(b) = 33*b + 47. Let g(p) = c*l(p) - 4*a(p). What is the units digit of g(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 + 58 + 0*o**2 + 149*o - 151*o.\nAnswer: o**2 - 2*o + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h. Let v(b) = 408*b - 454. Calculate f(v(j)).\nAnswer: -816*j + 908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1015, 1048, 1113, 1216, 1363, 1560?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -272*i - 275. Let x be q(-1). Let z = 0.1 - -0.9. Sort -5, x, 0, z.\nAnswer: -5, x, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l. Let p(q) = 4*q**2 - 3. Let n(x) be the second derivative of -17*x**4\/12 + 13*x**2\/2 - 5*x. Let d(i) = -6*n(i) - 26*p(i). Give u(d(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/105 + 11*t**6\/60 + 11*t**5\/10 + 37*t**4\/12 + 14*t**3\/3 + 50*t**2. Factor j(r).\nAnswer: 2*(r + 1)**2*(r + 2)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-12) + 38\/3. Let r be (d + -4 + -6)\/(0 + 1). Sort r, 7, 0, 2\/7 in ascending order.\nAnswer: 0, 2\/7, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002045459 to six dps.\nAnswer: -0.002045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 231044 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/10 - (-3 + 4692\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6592, 13561, 20994, 28891?\n\"Answer: 232*y**2 + 6273*y + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 - 1. Let h = s + -9.1. Let w = 10.99999956 + h. What is w rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25160 - 54633\/2. Let s = r - -2160. Factor s*o + 1\/6*o**2 + 1\/6*o**4 - 5\/6*o**3 - 3.\nAnswer: (o - 3)**2*(o - 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/b**19)))**(-20\/7)*b**(-28)*b*b**(3\/8)*b)**(-2\/55) assuming b is positive.\nAnswer: b**(-289\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, 1, 5, -1, -0.4, -6, -339\/8?\nAnswer: -339\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 13, 24, 39, 58, 81, 108?\n\"Answer: 2*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159327\/4364 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 226*w - 5990. Calculate v(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31067\/171050 - -3\/15550. Sort p, -2\/197, 0.5 in ascending order.\nAnswer: -2\/197, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 125 + 75*b + 80.\nAnswer: 75*b + 300","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)*h\/(h**(-3)*h*h)*(h**(-2))**(-37))**(-19))**(17\/4) assuming h is positive.\nAnswer: h**(-99161\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30176648 and 128984?\nAnswer: 5608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/41)*c)\/((c**26*c)\/c*c))\/((c**(1\/12)*c)\/c*c*c*c**(-7)))**(1\/26) assuming c is positive.\nAnswer: c**(-10385\/12792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286042627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -50*k**3\/11 - 3690*k**2\/11 - 2928*k\/11 - 584\/11 = 0.\nAnswer: -73, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 7*t + 28. Let p be s(12). Let d = -19 - p. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b - 107 + 52. Let y(l) = l**2 + 2*l - 3. Let z be y(-3). Let r = 1 - z. Sort r, b, -4.\nAnswer: b, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 21722 - 21722.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29758, 119303, 268558, 477535, 746246, 1074703, 1462918?\n\"Answer: 2*n**3 + 29843*n**2 + 2*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofxoooofoox. Give prob of picking 1 f and 1 o.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*l - 4*h = 249*l + 12, -5*l + 5*h + 10 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) 0.3 (d) -247\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/f**13)\/f*f*f))\/(f\/(f\/(f**(-11)*f)))*(f**(2\/7)*f*f)\/f**(7\/4))**(-1\/3) assuming f is positive.\nAnswer: f**(-659\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 60 = -l, 0 = -5*d + 11*l - 8*l + 80. Suppose 3*h - 659 - 121 = 0. Suppose -h = -5*z + z. What is the highest common factor of d and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c - 32. Let w = 11 + c. Suppose 0 = -3*o + 3*b + 15, 5*o - 20 = o - w*b. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -3 (c) 407831\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)*2)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/12)\/(5\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 634812, 634712, 634612?\n\"Answer: -100*n + 634912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10920 and 19057220?\nAnswer: 114343320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984, 11630, 29372, 54210, 86144, 125174, 171300?\nAnswer: 224522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - 8 - 11*b**2 + 18 - 8 + b**3 as x*b + t*b**3 + n + i*b**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 882 and 54747.\nAnswer: 766458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 302467797 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(100)\/sqrt(2))\/(sqrt(60)\/(sqrt(6)*-1)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0*d - 5*h + 28, 4 = -4*d + 3*h. Let x = 4344 + -39026\/9. Calculate the common denominator of x and (-94)\/(-18)*d - 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1148.61 and 17.\nAnswer: -19526.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6 - 14 + 7*q - 9*q + 6*q. Let v be u(3). Suppose -v*k = -2*k. Solve -2*l + k*l = 3*a + 19, -3*l - 21 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74528345 to the nearest integer?\nAnswer: 8633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*s - 13 = y + 117*s, 0 = -4*y + 10*s + 38 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 56*o - 687. Let t be m(13). Calculate the greatest common factor of 9389 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-2)\/16). Let q = 10 - f. What is the least common multiple of q and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -125*b**2*q**2 + 8*b*q + 8*q**2 wrt b.\nAnswer: -250*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1502507\nAnswer: 4\/1502507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 6070?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 0.02. Let c = y + -0.129815. What is c rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a = 23*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 356 + 5445?\nAnswer: 6134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5137 is divided by 227.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1037*g**2 + 7*g - 5. Let l be u(4). Let d = -17196819 + 206560781\/12. Let x = d + l. Calculate the common denominator of -85\/6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*u + 53*u = -100*u - 33429 + 24758 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -1\/1531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 35284489\nAnswer: 105853467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -827 - -410. What is the remainder when p\/(-18) + 3\/(-18) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 5*p)*(-5*p + 0*p + 2*p) + 3*p**2 - p**2 - 4*p**2 - 3 + 3 + p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-2) + 44 - 2. Suppose -62*j = -59*j - 87. Suppose -3*n + 86 = -4*d, 3*n - j = -4*d + 17. What is the highest common factor of t and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 67 - 255. Let f = 97 + o. Solve b + 3*j - 5 = 5, f*b = 4*j - 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 take away 26361?\nAnswer: -26360.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000122 + 10200?\nAnswer: -212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 10, a: 9}. Give prob of sequence wa.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 0, 7*u + 2*j + 27 = 2*u. Let x(m) = 2 + 8*m**2 + 2486*m**3 - 2485*m**3 + 1 + 10*m. Calculate x(u).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 21514136\nAnswer: -8605654.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -1\/4*c**4 + 0*c**2 - c + 0 + 0*c**6 - 8\/21*c**7 + 0*c**5 + 0*c**3. What is the third derivative of o(a) wrt a?\nAnswer: -960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80261282?\nAnswer: 2, 19, 2112139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18009, 18010, 18011, 18012, 18013, 18014?\nAnswer: 18015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -5014?\nAnswer: -4554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Is (-1377)\/(-12) + 1\/o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-30)*(-1376)\/301*-2*1\/8\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1197 by 3.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 2*f + 48, 14*f = -3*u + 9*f + 36. Solve 3*y - 36 = -5*i - 4, 0 = 5*i - 2*y - u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787248343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*n**2*x - 2*m**3*n**2 + m**3*n + 138*m**2*n**3 + 2*m**2*n*x + 36*n*x wrt n.\nAnswer: 4*m**3*x - 4*m**3 + 828*m**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-42)*(-8)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-3\/35) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.0461, -2\/11, -79\/57?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2003221031 + -201?\nAnswer: 2003220230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-9 - 5) + -6 - 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 16493\nAnswer: 115451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*f + 2, 0 = 2*r - 5*f - 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 12:40 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 29. Suppose 2*m - 6 = 0, 0 = 4*l - m + 6 - z. Suppose -9*d = -l*d - 4. What is the least common multiple of 14 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 2*g - 0*g. Let b = 332\/11 - g. What is the biggest value in b, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/7340 and 3\/82494260.\nAnswer: 82494260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1758.9019 rounded to the nearest 10?\nAnswer: -1760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 1475*u - 1495. What is y(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 10 - 16. Suppose -5*n - 30 = 3*k, 3*k - 7*k - 2*n = 26. What is the remainder when k\/(1\/15*-3) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22414.8 + -22415. Which is the second biggest value? (a) -2\/5 (b) -2\/7 (c) 1\/4 (d) 0 (e) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*t - 154 = -33 + 109 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*u + 28, -3*u - 24 = -3*g - 0*g. Let m(t) = -6*t. Let l be m(-3). Suppose 2*r - g = -l. Which is smaller: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 5*t + 5. Let u be c(-6). Let k = -207 - -209. What is the units digit of k\/(u*(0 + -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 9 + 6. Solve -7*s + 5*s - 4 = -3*y, u = 4*y - 3*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*-2*sqrt(63))**2.\nAnswer: 6297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -4*v + 5*b + 5289, -4*v = -b - 5269. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33344502 (base 6) to base 16.\nAnswer: -f66b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1350 and 78?\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 104 = 4*v, -5*v + 695068 - 694983 = -4*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2448) - sqrt(2448)) + (sqrt(612)*6)**2.\nAnswer: -24*sqrt(17) + 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d - 11316734 = 0. Suppose -1483236 - d = -5*q. Suppose 3 = -v, -4*v = 4*j - 2*v - q. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/7050 and -89\/5170.\nAnswer: 77550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3*1*20*9\/(-54)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 16 = 0. Suppose 3 = -n + 12. Let s = n - 6. Sort x, s, -3 in ascending order.\nAnswer: -3, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20899 is divided by 674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -21*r**3 - r**2 - 109*r + 8. Give m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v - 2. Let t(s) = -6*s + 1. What is -3*k(r) - 2*t(r)?\nAnswer: -3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.289531.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2. Let b(r) = -r**3 + 5*r**2 - r + 7. Let i be b(5). Let p(h) = -4*h**2 + 4*h**i + h**2. Give p(x(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - 17. Let h be t(3). Let c be (-32)\/(-3 + h) - (12 + -12). Differentiate c*k**4 - 13 - 11*k**4 - 2*k**4 - 6*k**4 wrt k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/12)\/((-2)\/(-4)). Is 3*796\/36*r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(8*z + 23*z + 13*z).\nAnswer: 88*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8588314 - 18920686. Round t to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -767460*i**2 - 581648?\nAnswer: -1534920*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*l - 2, l - 3 = -2*l. Solve 2*w + x*u = -4, 6*u = 2*w + 2*u + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**6\/60 - o**4\/24 + o**3\/6 - 5*o**2. Let h(f) = f**3 + f + 1. Suppose -5*d + 4 = -1. Calculate d*u(x) - h(x).\nAnswer: x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 0*s**2 + 1\/4*s**4 + s + 0*s**3 - 7\/20*s**5 + 0. Find the third derivative of t(j) wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2. Let v(z) = -114822625*z. Give v(a(n)).\nAnswer: -574113125*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 9*p + 3. Let w(a) = 6*a + 2. Let z(b) = 2*i(b) - 3*w(b). Let c(d) = -180*d. Give z(c(l)).\nAnswer: -64800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051183279 to the power of 1\/3, to the nearest integer?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-4) + (-1)\/2. Suppose -4*a**3 - a**3 + a + j*a**3 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24413423320 - 3?\nAnswer: 24413423312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.13, 4\/5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.3 (c) -27\/7 (d) 0.5 (e) -291.65 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 18, 40115, -7.\nAnswer: -7, -2, 18, 40115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:17 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130908 is divided by 6881.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-34615)\/69)\/(-43)*(4\/(-21))\/1\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 853 + -873 - (-1 + -10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - c**2 - 3. Let g(o) = -3*o**3 + o**2 + 6. Let x(j) = 2*g(j) + 5*q(j). Is x(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 8*h + 1. Let d be y(-7). Suppose 0 = d*z - 3*z + 10. What is the smallest value in z, -1, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**4\/24 + 23*l**3\/6 - 10*l**2. Let a be (9\/1*2)\/(75\/6 - 14). Determine h(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -191 and -433.\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = 12*m - 17*m + 76, -26 = 2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*j**2*s - 5290471*j**2 + 7879162*s - 4 wrt j.\nAnswer: 12*j*s - 10580942*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-4)\/16*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9857 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 359270179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 3 + 2*-4. Let p = -5 - s. Solve 0 = -p*j - 0*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + g)*(2*g - 3*g - g)*(-1 + 5 - 2).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223*j**3*m*o**2 - 4*j**3*m*o - 1028*j**3*m + 2*j**3*o**2 + 2*j**3*o - 34*j*m*o**2 - 2*j*o wrt o?\nAnswer: 446*j**3*m + 4*j**3 - 68*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 11*r - 3*r. Let l(o) = 9*o - 22. Let w be l(r). Suppose a - w = 41. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 4, n: 2, a: 5}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20344999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgxkukkxxxfddgfgxgkf. Give prob of sequence gux.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**7*r*r**10\/r assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 6*f - 21. Solve -3*m + f*m = -4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-203)\/275 - -1) + (-98)\/539. Put y, 5, -0.2 in descending order.\nAnswer: 5, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/(-6)) + -2. Let x(w) = -w**3 - 8*w**2 - 3 + 4*w**2 - 3*w + 0*w**2 + 2*w. Let y be x(v). Sort -5, y, 7 in descending order.\nAnswer: 7, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(100\/392) - (-12)\/30. What is the highest common divisor of j and 256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/1053828 and -13\/7218.\nAnswer: 1053828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**6\/40 + 27*b**5\/16 + 47*b**4\/16 - 45*b**3\/8 - 69*b**2\/4 - 2260*b. Determine g, given that x(g) = 0.\nAnswer: -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 954 + 1 - 17\/(408\/(-312)). Calculate the highest common divisor of 704 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 18 = -2*i, -z - 576 = 2*i - 579 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23021 (base 5) to base 10.\nAnswer: -1636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21630311\/2 or 10815155?\nAnswer: 21630311\/2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-5 + 2) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-77)\/22)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/123*-1)\/((-7894)\/3947)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -11 (b) 0.2 (c) 3\/8 (d) -0.4 (e) 5.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from aogago.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46353 + -24198. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xooxoooxoxxxox. Give prob of picking 3 o and 1 x.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -24.\nAnswer: -31\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orirssrmrosr. What is prob of picking 2 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 36*b**3 - 5*b - 2. Let z be l(5). Let k be ((-8000)\/6)\/((-42)\/z). Round k to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h + 10. Let k(c) = -4*c - 9. Calculate -5*j(i) - 6*k(i).\nAnswer: -i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3745, 7494, 11241, 14986, 18729, 22470, 26209?\nAnswer: 29946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -17.8?\nAnswer: 35.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) 212\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1490\/161 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83.0000145 - -83. What is s rounded to 6 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1593)\/(-2160) + (-30)\/(-480)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f. Let w(r) = -67 - 63 + 3*r + 291 - 57 - 65. Determine m(w(t)).\nAnswer: 27*t + 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -170 - -175 - ((-3)\/2)\/((-9)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1304013 (base 5) to base 15.\nAnswer: 7858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51634949 to the nearest integer?\nAnswer: 7186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -273*p + 1358. Let n be t(5). Put -33, -3, n in descending order.\nAnswer: -3, n, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idbyiiidbd. Give prob of sequence bb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -64748*p. Let c(l) = -7*l**2 + 35*l. Determine c(i(d)).\nAnswer: -29346124528*d**2 - 2266180*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by 594?\nAnswer: -7\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26697011 rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*sqrt(156)\/sqrt(3)*-1.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4 (b) -0.1 (c) 94 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -t**6\/120 - 2*t**5\/15 - 7*t**4\/12 - t**3 + 24*t**2. Let k be g(-6). Calculate the greatest common divisor of 15 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 3*y**2 + 3*y)*(-93*y - 97*y + 264*y).\nAnswer: -222*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-2)*(20\/(-6))\/(-5). Factor 1\/5*n**u + 0*n + 0*n**3 + 0 - 1\/5*n**4.\nAnswer: -n**2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -9 (c) -61 (d) 4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q - 1. Let i(p) be the first derivative of -p**3\/3 - 2*p**2 - 2*p - 2. Let x(v) be the first derivative of i(v). Determine 2*k(b) - x(b).\nAnswer: 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 423 + -710. Is (-1)\/(-1) + (5 - r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*x**2 - 3*x**2 - 1 + 2 - 14*x**2 as z*x + i*x**2 + k and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 1)*(6 - 3 - 1) + 3 + 1 - 2 + 0 + 0 + 2)*(4*t**4 - 4*t**4 + 24*t**4) + t**4 - 14*t**4 + 4*t**4.\nAnswer: 183*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.498 - -0.502. Let l = -21 - -20.73. Let x = l + 0.17. Which is the biggest value? (a) 0.08 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1955.\nAnswer: 3\/1955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4186548 - -13?\nAnswer: -4186535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1865962, 3732444, 5598926?\nAnswer: 7465408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68640 and 9888?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.8193806 * 3.\nAnswer: 23.4581418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30230 (base 4) to base 9.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5667a07 (base 11) to base 15.\nAnswer: d0eee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -222606265 and -222606262 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*h - 1054, 5*l + 374 = 4*h - 959. What is the tens digit of (-6)\/((-1)\/(l\/(-10)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**10\/1260 - 11*g**6\/180 - 20*g**3\/3 - 6. Let o(f) be the third derivative of i(f). Find the third derivative of o(q) wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, i: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.89997569 to 2 decimal places.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 + 3*k**2 + 11*k - 1382. Calculate f(0).\nAnswer: -1382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6849\/4 + 1724. Let w = 2927 - 17419\/6. Calculate the common denominator of w and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -6 - (4 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**5\/4 + 360*c**4 + 1828*c**3 - 62963*c**2\/2 + 305025*c\/4 - 93925\/2 = 0.\nAnswer: -13, 1, 2, 5, 1445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 360 * 590.\nAnswer: 212400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4315*n - 4313*n + 2*s - 6 = 0, 4*n = -7*s + 30 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -s**5\/120 + s**3 - 3. Let d(a) be the third derivative of h(a). What is d(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-160)\/(-12))\/(230\/414). Solve 108*q + x - 16 = 105*q, 0 = 2*q + 4*x - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -3, -1, -3604, 48, -4 in descending order.\nAnswer: 48, -1, -3, -4, -32, -3604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 42a13 - -780?\nAnswer: 43693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3965 + -3964.8. Which is the nearest to 37? (a) 3\/7 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 9. Let j = 14.2 + f. Which is the third biggest value? (a) 2\/5 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 15 + 24. Let g(p) be the first derivative of -14*p**3 + 29*p**3 - 6 + p**6 - 2 - r*p**3. What is the third derivative of g(n) wrt n?\nAnswer: 360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + (-28)\/(-8). Let f(i) = -2*i + 3 + i + 2*i - x. Let b be f(6). Solve 2*a - a = b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmm when three letters picked without replacement from {m: 2, r: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -24802116.\nAnswer: -1\/24802116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) -4 (b) 0.07 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**4\/7 - 108*m**3\/7 - 35730*m**2\/7 - 340948*m\/7 + 825648\/7 = 0 for m.\nAnswer: -103, -12, 2, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 18*v**2 + 31*v + 37. Let s(y) = -11*y**2 - 16*y - 19. Let c(h) = 3*k(h) + 5*s(h). Let a be c(14). Solve 3*t = -a*t - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 741*f**3 + 132*f**2 - 39*f + 39. Let t(c) = 39*c**3 + 7*c**2 - 2*c + 2. Let b(l) = 6*m(l) - 117*t(l). Find the third derivative of b(d) wrt d.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 9171\nAnswer: -36684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(2\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/120 - 11*k**5\/60 + 5*k**3\/6 - 3*k**2. Calculate the least common multiple of h(11) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 8*n + 14. Find the third derivative of -47*j**n - 6*j**3 + 25*j**2 + 26*j**2 wrt j.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -4 - (15 + -19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -59. Suppose 3*j + z = 2*j, 5*j + 32 = m. Let x(v) = 2*v - 2. What is the lowest common multiple of x(4) and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4370677 take away -11?\nAnswer: -4370666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*(-1*sqrt(147) + -2 + sqrt(147)) - (1*(1 + sqrt(147)) - 1*sqrt(147)*2)) + 5)**2.\nAnswer: 84*sqrt(3) + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*s - 1433 + 53 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(39\/18))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.223 - -0.02.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 15919918?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0*q - 5*q - 4 = 0, 4*u + 2*q = 126. Let s(y) = u*y - 52*y + 25*y. Let w(k) = -11*k**2. Give w(s(f)).\nAnswer: -44*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22354807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v + 124 - 124 - 29*v.\nAnswer: -38*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1723.2704 + 7185913.\nAnswer: 7187636.2704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/4 (b) 4 (c) 3468\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100100100?\nAnswer: -100100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/1200 - (5\/(-5*2) + 1682\/2755).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((560\/24)\/(-35))\/2)\/((-7)\/(-6))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13242 - -3?\nAnswer: -13235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -408 - -805. Let o = m - 397.036. Round o to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 899 + 301. Let s = z - 165. Calculate the highest common divisor of 315 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9123*s + 7571*s - 33*s**2 + 34*s**2 + 602176 = 0. Calculate s.\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743311 divided by 3?\nAnswer: 914437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16955?\nAnswer: 5, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)*o**(4\/9))\/((o\/(o**(-3\/5)\/o)*o)\/(o*o*o**(-3)*o*o*o))*(o**0\/o**(1\/3))\/((o\/o**(2\/13))\/((o**(-1)\/o)\/o)) assuming o is positive.\nAnswer: o**(-2731\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2621*m - 2525*m + 1167*m + 2885*m**4 wrt m?\nAnswer: 34620*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.072 (b) 1\/4 (c) -3\/4 (d) -5 (e) -0.5 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*w = 48, -4*v - 8 = -5*v - w. Calculate the least common multiple of (-8)\/(-18)*(-144)\/(-32) and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 154 + 1\/2*f**3 - 13\/2*f**2 - 9\/2*f. Factor r(s).\nAnswer: (s - 9)*(3*s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132173.\nAnswer: 132173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 10:04 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*p + 16. Let u = p - -212. What is the highest common divisor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277259.\nAnswer: 277259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 4*q**2 - 3*q + 5. Let v(w) = w**2 + 3*w - 1. Let n be v(-4). Let p be f(n). Factor -10*c**4 - 4*c**p - 5*c**4 - 6*c**5 + 9*c**4.\nAnswer: -2*c**4*(5*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -6. Let b(y) = -3*y - 3. Let l be b(d). Suppose 0*v + l = 5*v. Which is greater: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/8, 6, 0.2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 341*m + 2136*m - 10250 + 2631*m + 10250 in the form l*m + d and give l.\nAnswer: 5108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13726050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/3 + 110*f**4\/3 + 784*f**3\/3 + 1504*f**2\/3 = 0 for f.\nAnswer: -47, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*s + 4*m, -27*m = 2*s - 30*m - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 35\/45 + 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -13.64?\nAnswer: -13.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.106 and -4?\nAnswer: -0.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*k + 610, -2*l - 2*k - 408 = -4*l. Suppose -t = -217 - l. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 - 6*f**2 + 16*f**2)*(-1 - 5 + 4)*(-2 - 2 + 2).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42407190 by -315.\nAnswer: -134626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1437742727\/322392 + 451042\/101. Let h = 59\/133 - a. Find the common denominator of -109\/246 and h.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 = -8*c + 47. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8226)\/(-21) - 1) + 6\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(8\/60*((-810)\/9)\/18).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2026243 (base 8) to base 3.\nAnswer: -1000012212022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*q*q)\/(q**(-1\/6)*q) assuming q is positive.\nAnswer: q**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5836472263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2312.05 - -2396. Let i = 145.04 - q. Let z = 61 - i. Put -2\/11, 2, 0.4, z in ascending order.\nAnswer: -2\/11, z, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k. Let b(i) be the second derivative of 1\/10*i**5 + 0*i**3 + 0*i**4 + k - 3*i - 1\/2*i**2. What is the first derivative of b(x) wrt x?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*f**6 + 3*f**4 - 2104*f**2.\nAnswer: -3000*f**3 + 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((55\/(-80))\/(-11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/475*(-35)\/(-1) - 6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(30)\/(2*sqrt(5))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 2505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/1729, 0.081, 4, 0 in decreasing order.\nAnswer: 4, 0.081, 6\/1729, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 88*v = -92*v + 22, 2*v - 14 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-282)\/4)\/((-120)\/2320) is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050008 to the power of 1\/2, to the nearest integer?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 - 1. Let c = -0.3 + y. Let z = 6 + -11. What is the nearest to c in -2, z, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6443793?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*z - 83 + 122 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/10)\/((-2)\/5). Let i = u - -103\/18. Let d be (26\/156)\/(2\/6). Put 1, d, i in descending order.\nAnswer: 1, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 75*z**3 - 243*z**2 - 249*z - 84.\nAnswer: 3*(z - 28)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*p + 6758, 4*r - 5*p = 5385 + 35. What is the smallest common multiple of r and 50?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 - (-11 + 14 + -7) - 5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1781 - 1782. Let h = -2.6 + 3. Sort 13, -5, a, h in decreasing order.\nAnswer: 13, h, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627 = 16*l + 3*l. Calculate the remainder when l is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c - 4*s - 2 = 0, 0 = -3*c + 5*s - 1. What is the units digit of 2 + c - 1 - -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 5*r - 42 - 53.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1674 + 12002 = -s. What is the tens digit of -4 + (s\/(-20) - (-8)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460020823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 579304381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -398, 1, -2 in descending order.\nAnswer: 5, 1, -2, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*l + 326*l - 2709 = 4126 + 2615 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86406 is divided by 43195?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*q - 33*q + 28*q - 167*q to h*q + c and give h.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -29. Let u be ((-15)\/l - -1)*(-12)\/1. Suppose u*n - 10*n = -30. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492.0907 kilograms to micrograms.\nAnswer: 492090700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:49 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**4\/18 - f**3\/3 - 3*f + 3. Factor b(y).\nAnswer: -2*y*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 4. Let a be n(-6). Let g(o) = -o**2 - 5*o - 2. Let x be g(-3). Let i(y) = 4*y + x - a*y + y - 1. Determine i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.129\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1205 - -3523?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -25. Suppose 0 = -5*k + 2*a - 43, 2*a = -3*k + 5*a - 33. Let h(d) = 3*d**3 + 21*d**2 - 3*d + 7. Calculate the remainder when h(k) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 + 124822\/(-72). Suppose 6*o - 7763 = 2629. Let f = j + o. What is the common denominator of 77\/8 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 + 6*c**2 + 5*c**2 - 26*c**3 + 25*c**3 - 11*c**2.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 3*a + 6*a + 2*a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -202*y**3 - 13*y**2 + 14*y + 1. Calculate k(1).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 341 divided by 167\nAnswer: 341\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -111464100, -222928201, -334392302, -445856403, -557320504?\n\"Answer: -111464101*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**6\/360 - f**5\/40 - 3*f**4\/8 - 7*f**2. Let g(v) be the second derivative of h(v). Let d(z) = -1. Determine -4*d(q) + g(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 1:37 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -87195\/18214 - -2\/1301. What is the common denominator of 103\/26 and g?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32689.\nAnswer: 97, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513144 is divided by 1788.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 12*u\/5 + 16\/5.\nAnswer: 2*(u - 4)*(u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -13*m + 336. Let o be x(26). What is the closest to -1\/4 in o, -10, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 13*t**2 + 25*t - 52. What is the hundreds digit of m(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/76 in 0, 1, -2, -2\/11, 43, -0.29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**2)\/p*p)\/p**(-3\/4))\/(p*p**(2\/15)*p**(-2\/7)) assuming p is positive.\nAnswer: p**(-41\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4632*l - l**2 + 4632*l. Let o(n) = 2*n + 273. Determine o(c(u)).\nAnswer: -2*u**2 + 273","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 420 and 1512.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erv when three letters picked without replacement from eepvr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -68 (b) -15 (c) -6495\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 853*g + 30 = 856*g - 3*m, -2*g = 2*m. Solve -4*n = -g*d - 12 + 13, 1 = 3*n - 2*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9428 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:57 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 12*u - 9. Let j(c) = 2*c**2 - 12*c - 25. Let i be j(8). Let a be g(i). Solve 0 = a*t - 3 + 28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 30933\/1802?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 311*u - 310*u. Let g(d) be the second derivative of 0*d**2 + 0*d**3 - 1\/14*d**7 + 0 + 3*d - 9\/20*d**5 - 1\/4*d**u - 3\/10*d**6. Factor g(z).\nAnswer: -3*z**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*4\/(-30))\/((-182)\/35).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -21*u**2 + 89*u - 14. Let k be g(4). Suppose w - 18 = 12. What is the highest common factor of w and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 31080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136 + -4153?\nAnswer: -4322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2 + (-1*sqrt(1584) - sqrt(1584)) - (2*sqrt(1584) + 2)) + -1)*-4*2)**2.\nAnswer: 583680*sqrt(11) + 40573504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 0*f + 4*f - 14 = 0, 7 = -2*w + 3*f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 1, 1\/4, 1\/5 in decreasing order.\nAnswer: 1, 1\/4, 1\/5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/903 and 34\/1448541.\nAnswer: 10139787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 64. Let z be i(0). What is the greatest common divisor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22243307 is divided by 263?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 8*o**3 + 86*o**2 - 3*o**3 + 2*o + 4*o**3 - 88*o**2 to h*o + f + m*o**2 + v*o**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 4:19 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*w + 0)*(6 - 3 - 4)*(32*w - 76*w - 27*w).\nAnswer: -142*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3366, 205, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0*g + 22*g - 6*g - g. Let m(a) = 3*a**2 - 96*a. What is m(d(c))?\nAnswer: 675*c**2 - 1440*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p. Suppose -11*j + 609 = -4*j. Let d = j + -50. Solve p = 5*f + 3*k + d, k - 3*k = f + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42116 * 0.149\nAnswer: -6275.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a**3 + 0*a**3 + a**3)*(3*a + 0*a - a) - 950*a**4 + a - a**3 - 956*a**4 + 1902*a**4 + a**2 as v*a**2 + b + x*a**4 + n*a + g*a**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73675894 to the power of 1\/2, to the nearest integer?\nAnswer: 8583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 9 + 8. What is the units digit of 1 - (-2 - r) - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 5*g + 8. Let x be h(-6). Let o(n) = -n**3 + 2*n**2 + 3*n + 2. Let p be o(3). Differentiate 1 + 2 + p*j**2 - j**2 - x*j**2 wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49838*t**3 + t**4 - 128*t - 49920*t**3 - 8*t**4 + 472*t**2.\nAnswer: -t*(t - 4)*(t + 16)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 8, u: 4, d: 3, x: 1}. What is prob of sequence xggd?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, -2\/53, 1\/4, -0.02?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 - 3*l**2 + 3*l - 3. Let y be j(2). Let w(h) = h + 9. Let f be w(y). Suppose f = 7*c - 3*c. Calculate the remainder when 6 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppm when three letters picked without replacement from ppppppppppppm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 117*y + 2721. Determine q(-32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**3 + 48*g**2 - g + 13193 wrt g.\nAnswer: -21*g**2 + 96*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**3 + t**3 + 1464220 - 1464220.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45810796.\nAnswer: 2, 11452699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181.4 - 79.4. Let f = 425 - 282.2. Let g = f - z. What is g rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1199*m*v**3 + 4*m*v**2 - 17*m*v - 95*m - v**3 - v**2 + 19 wrt v.\nAnswer: -7194*m*v + 8*m - 6*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 119?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-4841)\/1316)\/(-103)*-14\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 = 0, -4*i = -y - 238016 + 70276. What are the prime factors of i?\nAnswer: 2, 3, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -9, -m - 4*m + 59 = -3*l. Calculate the greatest common divisor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 149921799.4603?\nAnswer: -149921796.4603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 8*u - 3. Let b = 2393 - 2205. Calculate the remainder when b is divided by k(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 11:28 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 30 = 5*q, -5*t - 6 = q - 4*t. Let l be 215\/(-10) - q\/4. Let x be (l\/25)\/(2\/(-5)). Solve -6 = -2*w - 0*w - 3*n, -2*w - 2*n + x = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 1 = -3*t - z, -5*z = -5*t - 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/69)\/((-46609)\/(-8441)).\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 + 5120*g - 1310720.\nAnswer: -5*(g - 512)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 32 = -8. Suppose 0 = 4*h + 2*x + n, -12 = 3*h + 4*x - x. Suppose o + 10 = 2*c, h = 4*c + 2*o - 9 - 11. Sort c, -4, 1.\nAnswer: -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 1*sqrt(152))*-4*-2)\/((sqrt(56)*2*5)\/sqrt(7))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 5*v**2 + 2*v + 5. Suppose -5*d + 4*m = -26, 2*d - d + m + 2 = 0. Suppose -d*k + 5 = -k. What is the remainder when q(k) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-11)\/(-264)*6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 10 + 10 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9 - 49*j + 4*j - 58*j + 50*j.\nAnswer: -53*j - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68987726161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 50 = -5. Let v(b) = 11 + 50*b - 30*b - 30*b + 18*b**2. Is v(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5994\/7 + -856. Suppose 0 = x - 2*n - 3 + 17, 43 = -4*x - 5*n. Let y(u) = 2*u - 11. Let q be y(x). Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177971495.\nAnswer: 3, 5, 7369, 10657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 63.82419 micrograms?\nAnswer: 0.00000006382419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/13 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -0.5, -2\/3, 0, -2, 0.12 in ascending order.\nAnswer: -2, -2\/3, -0.5, 0, 0.04, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -429 - 265 = -4*l + d, 0 = -3*l - 3*d + 528. Suppose 190*m - 32 = l*m. Factor -2\/7*u**m + 2\/7*u + 4\/7.\nAnswer: -2*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 21, 38, 87, 186, 353, 606?\n\"Answer: 3*d**3 - 2*d**2 + 2*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.827463ml in litres?\nAnswer: 0.000827463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 9*c**2 - 6*c + 1. Let t be b(-11). Let k = t - -13. Let y = k - 132. Round y to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsd when three letters picked without replacement from odqsw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*p - 30, 2*c + 6 = -5*p + 49. Let m = p + -5. Suppose -m*f = -3*f - 6. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*s**5 + 3*s**4 + 12*s**2 + 3.\nAnswer: 7680*s**2 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r + 12*r - 24*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*t + 4*z, -4*t + 9*t = 4*z + 38. What is the remainder when t is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + q + 11 = 0, 0 = -l + 3*q + 5 - 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*s + 9, 19*s - 14*s - 37 = -2*l. Let v = -4 - -5. Solve -28 = 2*w + 4*b, -l = -5*w + 5*b - v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 - 7*q**4\/24 - 2*q**3\/3 + 3*q**2. Let y be a(-6). Suppose 1351 - 739 = 51*o. Solve -y*v - 2*v = -o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -6355\nAnswer: 6355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - ((-2 - -1) + 0). Let v(u) be the second derivative of u**3\/3 - 7*u**2\/2 + 26*u. Give v(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**4 - j**2 - j - 1. Let u = -52 + 44. Let a(x) = 24*x**4 + 24*x**2 + 8*x + 8. Let g(q) = u*r(q) - a(q). What is the third derivative of g(z) wrt z?\nAnswer: -768*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11069, 11137, 11223, 11333, 11473?\n\"Answer: g**3 + 3*g**2 + 52*g + 11013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3))**(3\/23)*n**(-2\/11)\/(n*n\/(n**(1\/6)\/n)))**(-13) assuming n is positive.\nAnswer: n**(60359\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k - 160. Suppose 2*i - 6*i = -k. Determine c, given that 2 - i*c**3 + 4*c - 2*c - 6*c**4 + 4*c**2 - 2*c + 8*c = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/8)\/((-18)\/84*-7))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 11 - 6) + (4 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxzldldllzlxlxdxlxl. Give prob of picking 2 x, 1 d, and 1 l.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1.2142 (c) 1\/3 (d) -1038 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 5) to base 6\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5\/3, 1, -35\/26, -80\/3 in increasing order.\nAnswer: -80\/3, -35\/26, -0.4, 1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 3\/(-12) + -1 + 106\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195611489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -525*c + 534. Calculate o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 6*t + 8. Let l be v(6). Let u be (l\/20)\/(2\/20). Suppose -u*h + h = -720000. What is h rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 9025*o - 99260. Calculate z(11).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 69\/2 of a microsecond?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.2 (c) 5\/3 (d) 169 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26389 - -26625. Is u less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 + 6)*(1 - 1 + u**2).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*(-68)\/(-102) - (-63)\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512\/640*(-80)\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 28 = -0*h. Calculate the least common multiple of h and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**4 + j**3 - j**2. Let v(m) = 17*m**5 - 4*m**4 + 4*m**3 - 4*m**2 + 9*m. Let z(x) = v(x) - 4*w(x). Find the second derivative of z(s) wrt s.\nAnswer: 340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 4)*(1 - 4 - 8)*(-4*s**3 + 3*s**3 - s**3)*(0*s**2 - 5*s**2 - 18*s**2).\nAnswer: -506*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -11*n + 33. Let s be l(-4). Suppose -2254 - s = -9*i. List the prime factors of i.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.148 to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 4*a - 6. Let s be i(-2). Is 158164\/s*(-84)\/(-56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168541 + -98906. List the prime factors of j.\nAnswer: 5, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925 is divided by 612?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 3*f + 255, 3*i + 4*f - 3 = -46 - 5 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*a + 1216 = -1138. Suppose 0 = -2*w + w - 1. What is the nearest to w in 3, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/10 + y**4\/6 + y**3\/2 - 13*y**2. Let u be p(-2). Suppose -c + 190 = c. Calculate the highest common factor of u and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1188530.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17310 = 2768*v - 3076 - 4526 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 1. Let q be k(-2). Let l = -1 + q. Sort 3, 1, l in decreasing order.\nAnswer: 3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53 - (3 + -12)\/3. Let j = m - 17. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3 + 2\/21*l**2 + 80\/21*l - 2\/21*l**3.\nAnswer: -2*(l - 4)**2*(l + 7)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 2. Suppose 0 = -o + 5*o + 4. Let m(k) = -5 + 9*k**2 - 12*k**2 + 2 + 2. Let q be m(o). What is d(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -70\/1581? (a) -0.01 (b) 5\/3 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**2 + 23*a**2 + 13*a**2 - 14*a**2 + 52*a**2.\nAnswer: 83*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035678089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210210111 + 10022020?\nAnswer: -200111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, 83, 125?\n\"Answer: 42*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b + 12. Let s(w) = w**2 + 2. Give -2*s(x) + 3*t(x).\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 - 47*o - 32. Let v(k) = -3*k**2 - 29*k - 21. Let x(z) = 5*c(z) - 8*v(z). Let f be (-19)\/(-2) + 2\/4. Let n = f + -16. Give x(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 103727\nAnswer: -207454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 4908*y**3 - 1503072*y**2 - 1507984*y.\nAnswer: -4*y*(y - 614)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2. Let l = 1 + 1. Let k(t) = 0*t**2 + 0*t**l + t**2. Calculate z(k(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 m when four letters picked without replacement from {j: 1, y: 1, u: 1, b: 1, m: 1, d: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 9*p - 17. Let n be (p - (-152)\/48)*4\/43. Is 2\/5 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6)\/(-135)*3.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*v - 6, -4*v - b + 3 = -2*v. Solve -j = -v*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -488938?\nAnswer: 537831.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:17 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*l**4 + 16*l**4 + 0 - 35*l**4 + 1 wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -53*q**2 - 20*q - 18. Let f(d) = -19*d**2 - 5*d - 6. Give -7*f(o) + 2*x(o).\nAnswer: 27*o**2 - 5*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/42)\/((-4)\/16*2).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {g: 1, m: 1, j: 1, y: 1, q: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) + ((-7)\/1)\/(-14).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**2. Let x(i) = -145*i**2. Determine o(x(v)).\nAnswer: 63075*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (16 + (-2 - 5) - (2 - 1))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -3 (c) -1\/144068 (d) 2\/13 (e) 0.3 (f) 0.2 (g) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*z - 4, -2*s + 5*z - 1 = 4. Which is the second smallest value? (a) 0.1 (b) s (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 346.\nAnswer: 11418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 32 = 5*c + 24*k, 18 = 3*c - 2*k. Solve -7*v + c*v - 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135410315 (base 6) to base 16\nAnswer: 2a7fc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1261 + 1257)\/((3 - 0) + (153\/(-30) - -2))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -34667.\nAnswer: 9\/34667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 29*m**2 + 30*m**2 - 60*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24087395 divided by 5\nAnswer: 4817479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 3997 = 1403. What is the remainder when y is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13896 = 2602822*a - 2602629*a for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1733?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4193, 0.27112, -0.1 in increasing order.\nAnswer: -4193, -0.1, 0.27112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*a + 80 = 0, -4*h - 5*a + 27 = -3*h. Let y = 41 - h. Solve 0 = y*f - 3*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 54*v - 687. Determine n(-32).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 13\/15*k**6 + 0*k**3 - 20*k + 0*k**5 + 0 - 9\/2*k**2 + 0*k**4. Differentiate h(w) with respect to w.\nAnswer: 104*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 7, o: 3}. What is prob of sequence odd?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*z - 103*z - 331*z + 146*z - 2*z**3 + 138*z - 3*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*y - 91*y = -125 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*5*sqrt(400))\/((sqrt(500) - sqrt(500)*5)\/sqrt(10)*-4).\nAnswer: -45*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/20 - (38\/(-8) + 0). Solve 7*w - u = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 13. Determine m(10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26492, -25806, -25120, -24434, -23748, -23062?\n\"Answer: 686*n - 27178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/41 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -15*a - 18 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6558 + -3304. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5\/3, 1\/2, 75, 1, 0.2 in ascending order.\nAnswer: -3, -5\/3, 0.2, 1\/2, 1, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 5. Suppose 0 = k + 4*z + 22, 0*z = -j*k + 4*z + 10. Let q be 10\/(k*(-2 + 1)). Solve -q*d - 7 = g + 2, -d = -5*g + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 4*g = -5. Let s(t) = -t**3 - t + 2. Let v be s(g). Determine j so that 0*j + v + 2\/13*j**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3905290 and 4.\nAnswer: -15621160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6755, -11460, -16165, -20870, -25575, -30280?\n\"Answer: -4705*c - 2050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 77573 and 77517 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34 + 12?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9814661ns in seconds?\nAnswer: 0.0000000009814661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 6 - ((-2 - -37) + (-9 - 24)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201122 (base 4) to base 15.\nAnswer: 1ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708\/9 smaller than -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/47 in -5, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76875 (base 9) to base 13.\nAnswer: 1a2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 + -179 + (37 - -10).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*t + 85 = -409*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g - 19. Determine u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.804 and -0.3.\nAnswer: -3.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(2666\/888 + (10 - 13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 15*j**2 - 11*j + 33. Let i be x(-14). Let z(g) = -5*g**2 + 2. Let h(d) = -22*d**2 - d + 7. Let u(v) = i*z(v) + 2*h(v). What is u(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:05 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.467 + 1.46. Let n = -0.01 + w. Let t = n + -86.983. Which is greater: t or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2) + 7 - (1 + -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 46. Let c be 12\/(-9)*(-3)\/2. Put c, 3, f in descending order.\nAnswer: f, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4270 - 4102. Calculate the highest common factor of 1281 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 44, -3 in ascending order.\nAnswer: -5, -3, 1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*w = -629*w - 5300 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 4973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19843*d - 8077 wrt d?\nAnswer: 19843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219563191?\nAnswer: 219563191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14 - 139026\/9928)*2. Let h = 3 + -2. What is the smallest value in 4, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 + (-80)\/(-45) - 6. Let p(f) = -f**3 - 2*f**2 + 6*f + 6. Determine p(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -14*w - 39. Let f be i(-3). Suppose 37*a + 5*v + 22 = 36*a, f*v = -5*a. Sort -2, 0, a in increasing order.\nAnswer: -2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/42904 and -97\/40?\nAnswer: 214520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -612*i - 20*i**3 + 0*i**4 + 305*i + 307*i - i**4 + 6 as c*i**2 + j + t*i**4 + a*i**3 + s*i and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 8. Let y be q(-4). Let f = -9.8 - -9.6. Which is the closest to -1\/3? (a) y (b) f (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2. Suppose 2*y - 7 + 4 = 3*o, 0 = -2*y + 4*o + 2. Let q be 26\/8 - 2\/8. Let g(c) = -y*c - 2*c + 3*c + q*c. Calculate n(g(z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225928.\nAnswer: 2, 31, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6*-10434.\nAnswer: -37562.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5485*w**2 + 21*w - 94. Let h be t(4). What is h rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 27*r**5\/10 + 329*r**3\/6 - 12*r**2. What is the derivative of i(k) wrt k?\nAnswer: 324*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41647 take away 0.3?\nAnswer: 41646.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7655.6571 - 1.6571. Let c = 7522.84 - h. Let r = -131 - c. What is r rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/65078 and -7\/55066?\nAnswer: 715858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*x = 35, 4*r = -109*x + 143*x - 224 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -76d (base 14) to base 12\nAnswer: -a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -256 + 255. What is the closest to -11 in 1, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r = 49*r - k - 6, -3*r + k + 26 = 0. Solve 2*y - 6*y - 5*i = 20, 2*y + r = -5*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13588.237 - -2\nAnswer: -13586.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2166 + -2162. Solve 4*g - 20 = -u*d, 5*d - 21 - 4 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 150*n + 85. What is the remainder when 243 is divided by s(0)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366425, 732667, 1098915, 1465175, 1831453, 2197755, 2564087, 2930455?\nAnswer: 3296865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 143, 2, 1\/5, -5, 33, -0.27 in decreasing order.\nAnswer: 143, 33, 2, 1\/5, -0.27, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*h - 76 - 1154 = 58*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 - 513*k**3 - 4455*k**2 - 13203*k - 13122.\nAnswer: -3*(k + 3)**3*(k + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21\/392*24*2\/(-3)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4347569 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 2.6526.\nAnswer: 4.6526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 17*w**2 - 14 + (3*w + w - 5*w)*(2*w - 3*w + 3*w).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/20*-1 - (-161)\/(-140)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**2 - 54*g + 5397 wrt g?\nAnswer: 4*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-34) - 1541\/(-391). Solve 0 = -10*h - m - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 - 15*r**2 + 3*r - 1. Is i(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*u + 9, -2*u - 13 = -3*o. Let h = o - -3. Suppose 9*w - h*w = -26. Calculate the lowest common multiple of w and 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**3 - 6*w**2 + 3*w - 8. Determine a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, b: 4, w: 1, r: 6}. What is prob of sequence rb?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 8, 15, 24, 35, 48, 63?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -11. Let v = -34.1 - -33.7. What is the third biggest value in 10, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**4 + 3844*a**3 + 245480*a**2.\nAnswer: 72*a + 23064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/15 - 91\/(-5). Let a be (-1)\/((-15)\/i)*10\/4. Solve -6 = -a*f + 6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = 4*b. Suppose -k + 5*y = b, -2 = -3*k + y - 0. Suppose -k = p - 24. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 697*i**5 + 7*i**3 - 2*i + 296. Let m(z) = -349*z**5 - 4*z**3 + z - 149. Let h(u) = 7*m(u) + 4*o(u). Find the second derivative of h(x) wrt x.\nAnswer: 6900*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 22*s + 18. Does 39 divide z(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {f: 9, l: 7}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - ((-4 - -2) + (-21 - -49) + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 375?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 513741662 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165996 and 72663.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 237*-0.483\nAnswer: -114.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 67 = -3*l, 70 = 3*w + w - 2*l. Solve -6*b + w*b - 65 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/5 + 1004*q**4\/5 - 63576*q**3\/5 + 272132*q**2 - 10037446*q\/5 + 1747872 = 0.\nAnswer: 1, 17, 35, 432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w - 68 = -2*k, -48 = -5*w + 3*k. Suppose 4*s + 0*s = 32. Calculate the remainder when w is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*l + 202 = 0, 4*a - 193 = l + 229. Suppose 0 = 4*f + x - 107, 3*f = -3*x - 27 + a. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627040 a multiple of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -30. Let u be (q\/(-4))\/(0 + 2). Let z(l) = l**2 - l. Let b be z(u). Solve 3*a - 3*h = b, a = -0*a + 5*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2*7252\/(-147)*(-1770)\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 4*o + 2*o + 2*o - 3*o + (-2 - 3 + 2)*(2 - 2 + o) + (-2 - 3 + 6)*(o + 3*o - 6*o).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8*p + 24. Calculate the remainder when 26 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107628 (base 9) to base 4.\nAnswer: 33302120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 21 + 20 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 19, 33, 47, 61?\n\"Answer: 14*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 638 = 685. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5183, 10366, 15549, 20732, 25915, 31098?\n\"Answer: 5183*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 2*u + 12. Let g be k(5). Let w be 5 - (12\/4 + -6)\/g. Suppose -5*p = 4*y - 453, -w*y - y - 294 = -3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-495)*6)\/(2\/(-6))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 65*m**2 - 402*m + 2177. Give y(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6680 is divided by 1567?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5932 - 3561. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34940 rounded to the nearest 100?\nAnswer: -34900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9005 divide 1065921850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 325 = -5*m + o, 340 = 5*m + o. Suppose -y + 25 - 67 = -3*p, 2*y + 119 = -p. Let h = m + y. Which is smaller: 9 or h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46155*m = 3*s - 46152*m - 6, -16*s + 2*m = -14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18329*w + 476505. Give g(26).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u + 65. Calculate o(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 2 + 2)\/(27\/(-18))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5439463689?\nAnswer: 3, 11, 2393, 68881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/4, -1\/2, 5237?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 35*u + 194. Let d be x(6). Solve -32*t - d = -28*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 11*i - 9. Let r(j) = -17*j + 13. What is 8*g(x) + 5*r(x)?\nAnswer: 3*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = -14 + 94 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1037294.\nAnswer: -1\/1037294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87125 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 + -4 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94012395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-630)\/(-9) + (0\/(-1))\/2. What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863402467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5 + -2*sqrt(12)*2)**2 - ((sqrt(108) - (2*sqrt(108) - sqrt(108))**2) + -1 + sqrt(15)\/sqrt(5) + sqrt(3))).\nAnswer: -88*sqrt(3) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35972 and 340.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Let l = 0 - h. Let r(g) = -g**2 - 5*g - 2. Determine r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 123*r - 4301. Give b(35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w + 135. Let d(b) = 20*b. What is d(f(n))?\nAnswer: 40*n + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2. Let m(w) = -12607784*w. Give j(m(v)).\nAnswer: -476868652171968*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 685184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(500) + 1 + sqrt(500)).\nAnswer: -80*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-3 - -5)\/2. Let p be (15\/6 - 2)*i. Calculate the common denominator of 75\/8 and 192\/(-28) - (0 - p).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 26 = 3*q, 15*q - 20*q = -3*z - 46. Let r(d) = 8 - 25 + q + 2*d**2 + 9. Let j(g) = -2*g - 18. Determine r(j(x)).\nAnswer: 8*x**2 + 144*x + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -593282 by 10.\nAnswer: -296641\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Let y(c) = 0*c**5 + 4*c**5 - 2*c**5 - c - c**5. Let a(j) = -4*k(j) - 5*y(j). What is the second derivative of a(i) wrt i?\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145*q + 4828*q**3 + 147*q**2 + q - 4831*q**3.\nAnswer: -3*q*(q - 48)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 16 - 7. Let j be (o\/39)\/(4\/(-8)). Which is the second biggest value? (a) -1\/3 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 21*n**2 + 28*n + 11. Let c be h(-9). Solve -2*i - 2 = 2*l, 2*i = 3*i - c*l + 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 1435772 = -12*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1523683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6566953601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 429229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3973\/118944 + 1\/2016. Let k(y) = y**2 - 54*y. Let f be k(54). Is r less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 162156 and 594572?\nAnswer: 1783716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 470004811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-5*f + 3*f + 3*f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/23 + 128*j**4\/23 - 43320*j**3\/23 + 43060*j**2\/23 + 43318*j\/23 - 43188\/23 = 0. What is j?\nAnswer: -183, -1, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 350 = 2*j, b - 182 = -j - 4*b. List the prime factors of j.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 11*f + 16. Let u be z(-14). Let i = -4 + u. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (7 - 7) + (4 - (8 + 2) - 29)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of w**3\/2 - 19*w**2\/2 + 7*w. Let l be x(5). What is the hundreds digit of 4*(l\/26 + 1512\/26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, r: 13}. Give prob of picking 1 r and 2 z.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -661 or 242?\nAnswer: -661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Let u be (7\/2 + -3)*10. Suppose u*a - 31 = 24. Calculate the lowest common multiple of a and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1401 - 1369 = -4*t, -8 = 2*n + t. Factor -8\/19*z**2 + n + 12\/19*z**3 - 16\/19*z + 2\/19*z**5 + 10\/19*z**4.\nAnswer: 2*z*(z - 1)*(z + 2)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12.9? (a) 28 (b) 2\/35 (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 241, 243, 245?\n\"Answer: 2*u + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2608234 is divided by 1212.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 28 = -8*q + 35 + 45, -89*r + 92*r - 2*q = -6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faa when three letters picked without replacement from faeffffafffffefaf?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 406583 - 1702083. What is s rounded to the nearest 10000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30.2 in -1, 0.2, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-41)\/4)\/(1\/4). Let d be j\/(-4) + (-1)\/4. Suppose 2*t - d = 4*l, -3*t - l + 65 = 3*l. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -43*l + 62. Let a(w) = 2*w. Let h(x) = 21*a(x) + 3*k(x). Differentiate h(t) with respect to t.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2312467 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 8*c - 1. Let b(m) = -m**3 + 4*m**2 + 8*m - 5. Let x be b(5). Let s = 11 - x. Let i be n(s). What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262 + 262. Solve h = -3*j - 2*k - 9, 0*k = -5*j - 3*k - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/5 + 996*h**2\/5 - 73264*h\/5 + 276864\/5.\nAnswer: 4*(h - 56)*(h - 4)*(h + 309)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 35 + 31 = -2*v, 5 = 2*v + 5*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633778 divided by -9?\nAnswer: -292642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 25 (b) 2 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -4\/3*f**3 + 3*f - 4 + 0*f**2. Differentiate x(j) wrt j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 1905*w - 19. Let v be a(3). Suppose 0 = -32*u + 7680 + v. Is 75 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -122*a**3 - 14*a**2 + 23*a + 41. Let g be p(17). What is g rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6576 = 165*b + 2616 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 588740.3 days?\nAnswer: 50867161920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -5, 1, -5\/18, 9.89, -2\/11, -13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -12.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -4 - r + 1\/2*r**2. Let c(j) = -4*j + 8. What is -c(o) - 8*m(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t**2 - 574 - 869 - 259.\nAnswer: 14*t**2 - 1702","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 24\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -3*g - 3*j, -4 - 2 = 2*j. Is g a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 1\/1344*g**8 + 0*g**5 - 1\/420*g**7 + 0 + 0*g**3 + 0*g**4 + 0*g + 1\/480*g**6 + 4*g**2. Factor u(x).\nAnswer: x**3*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407 = -61*k + 163 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 2*v**2 + 2*v + 1. Suppose -3*h + 5*u = 19, -3*u + 7 = -3*h - 2. What is s(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -4\/101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -7*b**5\/60 + b**4\/4 - 3*b**2 + 4*b. Let i(s) be the first derivative of d(s). Find the second derivative of i(f) wrt f.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3\/4 (c) 85 (d) -6 (e) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1557*z**2 + 1161*z**2 + 5 - 6.\nAnswer: 2718*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1598781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100545, 361785, 797191, 1406769, 2190525, 3148465?\nAnswer: 4280595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 + 0*m**2 - 3*m**2. Let w(t) be the second derivative of t**3\/6 - 120*t. What is v(w(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 43) + -6 - 12\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10, -0.5, -1\/3, -2, 4\/5, -0.24?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/18 - (8\/18)\/(-1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let r(y) = 144*y. Determine r(l(a)).\nAnswer: 144*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - 1*(sqrt(152) + sqrt(152)*1) - sqrt(152)) + 1*sqrt(152)*3)\/((sqrt(600)*2)\/sqrt(3)))**2.\nAnswer: 19\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19836 is divided by 6609.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a8 + -1?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 9*l - 55. Suppose 0 = 3*g - l*t - 22, 0 = 3*g - 6*t + 4*t - 16. Is (g - 66\/18) + 1202\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/117629538 and 15\/1508071.\nAnswer: 117629538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -2, -3.\nAnswer: -3, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 92*a**2. Let n(z) be the third derivative of -9*z**4\/8 + 3202*z**2. Give n(x(h)).\nAnswer: -2484*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -474 at least as big as -2837\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*v**2 + 217 + 7*v - 7*v - 205 to the form d*v**2 + f*v + t and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.399 - 2974678775.\nAnswer: -2974678775.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 7 - (55 + (-102 - -52)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/10*6020\/(-903). Let 0 + 0*u + 1\/2*u**v = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1531, 6112, 13747, 24436, 38179, 54976?\nAnswer: 74827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**2)*o)**(-5\/4)\/((o\/((o*o**(-5\/2))\/o))\/o**(-3\/4)))**(-43) assuming o is positive.\nAnswer: o**(731\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 196657945 to the power of 1\/2, to the nearest integer?\nAnswer: 14023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**2 - 7*q + 8. Let b(c) = c - 1. Let t(m) = 5*b(m) + x(m). Let h = -8 + 2. Let r(o) = -8*o**2 - 2*o + 4. What is h*t(l) + 5*r(l)?\nAnswer: 2*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -345\/7 - -3125\/84. Find the common denominator of (-651)\/(-112) + (-24)\/8 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2\/3 + 11630*q\/3 + 46568 = 0.\nAnswer: -12, 11642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3*y**2 + 12*y + 18. What is j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143685393 a multiple of 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18234 is divided by 521.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 9*i**2 + 9*i - 7. Let w be f(-10). Solve w*l + l = -8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 8 = 9*x. Suppose 3*l - 4*l + 5*z = -241, -x*l = 2*z - 808. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21200003202 (base 4) to base 10.\nAnswer: -2490594","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30694\/(-30) + (-36)\/(-270). Does -1024 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 36*g + 2174. Give x(-70).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 98 = -2*h. Let f(s) = -68*s**3 + 7*s**2 + 5*s + 1. Is f(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1830 + -808. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*z**4 + 13*z**5 - 37*z**4)*(1 - 3 + 4) + 26 + 15*z**5 - 16 - 7*z**5.\nAnswer: 34*z**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 64*x**2 + 5*x - 3. Let g be m(1). What is the first derivative of -99 + s - g*s**4 - s + 49 wrt s?\nAnswer: -264*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1864554.\nAnswer: 2, 3, 109, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 4005.78.\nAnswer: 4006.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five eighths of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/36*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -13\/24*h**4 + 8*h**2 - 13\/60*h**5 + 0*h + 0 - 1\/120*h**6 - 2*h**3. Let p be q(-12). Solve p - 5 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53.274 - -53.1. Let x = -28.974 - -29. Let h = c - x. What is the fourth biggest value in 2\/7, -1, 5, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2 + c**2 + 7*c**2 + 4*c - 3*c**3 - 4*c**2. Let g(b) = 5*b**3 - 7*b**2 - 7*b + 3. Suppose 21 = -0*a + 3*a. Calculate a*y(h) + 4*g(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**3 + 19*w**2 + 6*w - 2. Let v(c) = -4*c**3 - 20*c**2 - 7*c + 2. Let i(z) = 6*f(z) + 5*v(z). What is the hundreds digit of i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 827222*i - 413612*i - 413596*i - 126. Calculate n(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37105607*q**4 - 14533*q - 1334.\nAnswer: -445267284*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 16*l**2 - 3*l - 29. Let g be u(-16). Let v(h) = -h**2 + 20*h - 18. Let p be v(g). What is the second smallest value in -0.2, p, -4, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(x + 2 - 2) + (-5*x + 3*x + 0*x)*(1 - 5 + 3).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 - 3*y. Let w(s) = 2*s**2 + 2*s. Let l(p) = -6*g(p) - 7*w(p). Factor l(f).\nAnswer: 4*f*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1 - sqrt(1053))*4*4 + 0 + sqrt(1053) + 0 + -1)**2*-5.\nAnswer: -6390 - 1350*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3774081 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-95)\/(-3). Let w = -21 + r. What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 582 = -5*u. Let v = 182 - u. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, -9, 5 in ascending order.\nAnswer: -9, 0, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84.351 - 2.929. What is n rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -11 (c) -3\/2 (d) 709 (e) -5 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3178649?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3138.09044 rounded to 1 dp?\nAnswer: -3138.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*(5*(0 + sqrt(363)*-1))**2 + ((sqrt(363) + -1 + sqrt(363))*-4 + sqrt(363) + sqrt(363) + 1*(sqrt(363) + (sqrt(363) - -1*sqrt(363))) + 2)**2.\nAnswer: -396*sqrt(3) + 39603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1498.4 - -1498.2. Which is the nearest to -1\/2? (a) 0.4 (b) y (c) -18 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 697\/(-60) - (3\/(-10) - (-1183)\/2730).\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1312213203008 and 0.5?\nAnswer: 1312213203008.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (-1*sqrt(77)*3 - sqrt(77))) + (sqrt(77) + sqrt(77)*1)*-6)\/(-5*sqrt(7)*-1 - (sqrt(140)\/sqrt(5) - sqrt(28))).\nAnswer: -7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2*l + 387. Suppose -5*u + 145 = -8*g + 5*g, -5*g = -4*u + l. Calculate the greatest common divisor of u and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/12 - 49*c**4\/24 - 59*c**2 + 10. Let f(t) = -4*t**2. Give q(f(g)).\nAnswer: -80*g**4 + 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 4, 19, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 94328*k - 941*k**2 + 5*k**3 + 81750 - 1604*k**2 + 230792*k - 404330 = 0.\nAnswer: 1, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 4*a + 3. Let i be (-340)\/(-60) + (-1)\/(-3). Let j(c) = -c + 2. Let m be j(-4). Suppose m = 5*t - i*t. Calculate w(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12 + (-219)\/(-18))*3\/2. Let p = -0.52 - -1.01. Let n = 0.01 + p. Which is the smallest value? (a) n (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(192) + -1 - sqrt(192)) + 0)*4 + (sqrt(192) + ((sqrt(192) - 2*sqrt(192)) + 3 - sqrt(192)) - sqrt(192)) + 3 + 5)*-3)**2.\nAnswer: -8928*sqrt(3) + 15561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - 5) - (-4335 - -4298)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -23. Let s be (-329)\/(-210) + (-21)\/15. What is the nearest to s in v, 4\/7, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129c6 (base 14) in base 11?\nAnswer: 369576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 14*l + 4. Let a(z) = z**3 - 4*z**2 - 2*z + 1. Let y be a(5). Suppose y - 46 = -l*m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 1. Let v(l) = 3*l - 26*l - 2*l + 8*l + 14*l. What is 2*k(m) - 3*v(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*f**5 - 5*f**3 - 13*f**5 - 2*f + 5*f**3 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 - 3780*u**4 + 52470*u**3 - 7981655*u**2 + 6 wrt u.\nAnswer: 120*u**2 - 90720*u + 314820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2516, -4634, -6752, -8870?\nAnswer: -10988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -9 - -1) + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 equal to 281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(1088) - (sqrt(1088) - -3*sqrt(1088))) + sqrt(17) - (sqrt(17)*2 + 4)**2.\nAnswer: -38*sqrt(17) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -3, 0.16, -2\/3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*b**2 + 649*b**2 + 455*b**2 - 124*b**2.\nAnswer: 758*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.241 - 0.227. What is y rounded to 2 dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15184 + -82?\nAnswer: -15246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 4*t + 2*t)*(2 + 6*t + 8 - 17).\nAnswer: 18*t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-15)*5\/(-4)*(-2060)\/(-5665)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/35 and -21\/25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -655 - -1035. List the prime factors of f.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*u + 84 = 0, u + 4 = 3*u. Let k(y) = -2*y - 44. Let q be k(z). Suppose -911 = -5*s - 2*n, 3*n - q*n = -3*s + 528. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -4 - -22 - 13) + -17 - (54 + -3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -48*v**2 + 1\/24*v**4 - 1\/6*v**3 - 1\/120*v**6 - 1\/60*v**5 + 0*v + 0. What is p(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -279 and 3.\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 + -138.5. Let j = t - -7.184. What is j rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79229581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -3. Suppose -5*g = w - 13, g = 3*g - r*w - 14. Suppose 2*p + 2 = 4*u - 4, 0 = 2*u + g*p - 15. Solve -4*z + 23 = 3*j, -u*z + 13 = -0*z - 2*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126\/13 + -908\/91. Let n be 5*((-68)\/10 - -2). Let k be (-1)\/n*10\/(-5). Which is the second biggest value? (a) -2\/13 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/40 and 59\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Let i(l) be the first derivative of -14*l**3\/3 - 137. What is o(i(g))?\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*v + 588*v - 259*v + 72*v + 87*v.\nAnswer: 615*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*d**2 + 1139 wrt d?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**13\/o)**(-37) assuming o is positive.\nAnswer: o**(-444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-160)\/(-85) + (164 - -16)\/(-18)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**6\/144 + d**5\/60 - d**4\/2 - 2*d. Let w(y) be the third derivative of b(y). What is the derivative of w(p) wrt p?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -163, -305, -447, -589, -731?\nAnswer: -873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -5 + -5 - (2 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 159*f - 159. Let r be i(-52). Let m(h) = -9*h**2 + 3*h + 3. Determine m(r).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 15*t + 1. Let i(n) = 13*n**2 + 4*n. What is the remainder when a(13) is divided by i(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/15, 1, -0.3, -1\/4, 3, 2378?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, q: 9}. What is prob of sequence qrqr?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132 * -5839.\nAnswer: -770748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 114 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 8:26 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 1, 0, 4\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 18*q**2 - 12*q + 74. What is n(-17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -113, -110, -95, -62, -5, 82, 205?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4029.58253499 from 32.4.\nAnswer: -3997.18253499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*h + 230*h + 4. Solve 3*f + 7 = -h*o, -f + 35 = -5*o + 4*f for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100813589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Suppose 2*r + 2*f + 26 = 78, 3*f = -l*r + 106. Let y = 9 + 1. What is the remainder when r is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and 29\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, 130, 491, 1012?\nAnswer: 1693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -2\/9 (b) 0 (c) -2\/13 (d) 11402\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45301, 45311, 45329, 45355?\n\"Answer: 4*t**2 - 2*t + 45299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3529.346579 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 + 618 = 4*i. Suppose -510 + i = -30*m. Solve -45 = -r + m*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*(-36)\/(-252)*3\/(-2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -91494, -91509, -91552, -91635, -91770, -91969, -92244?\n\"Answer: -2*h**3 - 2*h**2 + 5*h - 91495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3568 - 23.6332. What is k rounded to one decimal place?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2395408 decades in months?\nAnswer: 28.744896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 62769 = 5*n. What are the prime factors of n?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-256)\/(-64))\/(16\/10). Solve -j*i**4 + i - 7\/2*i**2 + 0 + 1\/2*i**5 + 9\/2*i**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8376 - -88.4316. Let r = d + -85.5. What is r rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42083991*m**4 + 53*m**2 + m - 157740 wrt m?\nAnswer: -1010015784*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032586348.038 minus -0.089?\nAnswer: -1032586347.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j + 37 = 23*j - 145. What is the highest common factor of 122 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44410 (base 7) in base 2?\nAnswer: -10101110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0718 - -16.2318. Let j = 16 - q. Let b = j + -0.95. 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: Is 697671378 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 3*f**2 + 3*f - 3. Let n be r(3). Solve -c - n = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 8*b**2 + 6*b - 15. What is the remainder when 229 is divided by q(8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22979\/70702 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144961\/13 - -11151. Which is the nearest to -0.1? (a) s (b) 2 (c) -5 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.19? (a) -1 (b) 10.25 (c) -271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.2 (c) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 216, 210, 204, 198, 192?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqswsvwwwssz. Give prob of sequence zs.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7546 bigger than -2\/4819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3780\/(-3500))\/((-18)\/(-30)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(85) + sqrt(85) + sqrt(85)*2 + sqrt(85)) + sqrt(85))\/(5*1*sqrt(5)) + ((sqrt(17) + 0)*2 - (sqrt(425) + 1 - sqrt(17))).\nAnswer: -4*sqrt(17)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 3*t**3 - 2*t**4)*(-2*t + 3*t + 0*t) + 2957*t**4 - 7168*t - 2*t**5 + 7168*t.\nAnswer: -4*t**5 + 2957*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/731 + -4379\/5117. Is -0.4 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 26*i**2 + 26*i - 13. Give g(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/((-4)\/(-36)). Solve -51*u + 48*u + a = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.4 + -32.4. What is the closest to y in 2\/5, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 100 = 16*j. Calculate the remainder when 94 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1932 + 1926. Let k(h) = h**2 + 3*h + 8. What is k(l)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/(442\/(-3332))*(-3)\/(-6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/554496 and 93\/14?\nAnswer: 3881472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j - 6. Let m be 3\/6*30\/45*15\/(-10). Which is the fourth biggest value? (a) 3 (b) 1 (c) j (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 1113?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**3 + 104*v**2 - 132*v - 648 = 0.\nAnswer: -27, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 111, 165, 225, 297, 387?\n\"Answer: l**3 - 6*l**2 + 65*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/2552394 and 161\/2418.\nAnswer: 79124214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0, -0.5, -1\/11, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 39, 48 in increasing order.\nAnswer: -6, -4, 39, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of o**7\/504 + o**6\/24 + 3*o**5\/8 + o**4\/24 + 19*o**2. Let k(j) be the second derivative of p(j). Factor k(q).\nAnswer: 5*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/175)\/((-24)\/30))\/(110\/(-77)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 = -z + 5*w + 144, 2*z - 4*w + 10 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (17 - (53 + -65 + 18 + 2))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824957 is divided by 412437?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x + 75*x + 2*d = -8181, -3*d = 0. List the prime factors of x.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7180 (b) 53\/16 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zezzzpzeqqep. What is prob of sequence pqze?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)\/f)**19\/((f*f**(-2\/39)\/f)\/(f\/f**18)) assuming f is positive.\nAnswer: f**(-5848\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-250)\/120)\/1)\/(40\/(-64))*(-198)\/(-30).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-10 + (-8 - -20) - -12)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - 1. What is the units digit of -30*-2*p\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 20, 4*z + r + 2*r = -15. Let j = 10 + -7. Put 1, z, j in descending order.\nAnswer: j, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 3 - (-6)\/(-11).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2. Suppose -q - 3 = -2*q. Let g be 15\/17 + -1 - (-594)\/(-153). Let l(a) = a**2 + 0*a**2 + a**2. Calculate g*m(v) + q*l(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35247 is divided by 721.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 15*l + 6. Let b be c(-12). Suppose -677 = 5*o - b. Let q = -69 - o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 6*k**2 - 33*k - 57. Let p be t(-9). Let v(i) = -1. Let c(r) = -39*r - 6. Let m(w) = c(w) - 5*v(w). List the prime factors of m(p).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 206 - 59. What is the greatest common factor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let j(p) = 6*p**2 + p. Let x be j(k). Suppose x*v - 1 = 64. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.1 (b) 0.3 (c) -0.4 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -662596.889 to the nearest one thousand.\nAnswer: -663000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32205183?\nAnswer: 3, 557, 19273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 9*f**2 + 6*f - 4. Let c be 0 + ((-22)\/2 - -3). Let j be h(c). Suppose j*g = 1309 + 287. What are the prime factors of g?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let k(c) = -c**3 - 3*c**2 - c - 1. Let o be k(-2). Let x be (l - o)*(-1 - -3). Solve 0 = x*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59818971811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 6697248.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1445679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 24*n - 12. Let o be p(5). Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119 + 114 + -4 + 0 + -1 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81\/486*(1 + 3089)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412218660 by -58888380.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + -218. Let z = -254 - r. Let w = 27 - 53\/2. What is the smallest value in w, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*v + 7. Let k(m) = -m**3 + m**2 + m - 1. Let n be k(2). Let b be (-2)\/n - 32\/(-6). Calculate the greatest common factor of b and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0068042 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqsqqssqhqh. What is prob of sequence qq?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -q - 9, g + 25 = 4*g - 4*q. Suppose 9 + g = 4*o. Let i(k) = k**2 - 4*k + 4. Let d be i(4). Which is the biggest value? (a) -2\/15 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-2*-2 - -1*sqrt(1053)*3)**2.\nAnswer: 51597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 248 = 127*w - 123*w, 69 = 6*s - 3*w - 321 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -171, -683, -1535, -2727?\n\"Answer: -170*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -45477, 1, -1 in decreasing order.\nAnswer: 1, -1, -45477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 - 3*v**2 + 2*v - 3. Suppose 4*z - 123 = -5*j + 30, 72 = 2*z - 2*j. What is the remainder when z is divided by b(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.279965 + 0.28. What is j rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0875 times -10?\nAnswer: 30.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 22. Let h = -54 + 51. What is the nearest to l in 5, h, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588 - 10 = -109*c + 165 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 + -0.5. Let t = j + 5.11. Let u = -12 + 7. What is the third smallest value in u, t, 3\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:15 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**4\/12 + 3*c**2\/2 - 14*c. Let f be y(0). Solve -5*r + v + 8 = 0, r + 0*v = f*v - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7102*g*h**3 - 5239*g - h**2 wrt h.\nAnswer: -42612*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10452113120 - 11?\nAnswer: -10452113131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1 = 5*d - 16, 4*v - 21 = d. Let h be (-4)\/10 - 8\/5. Let u = -305 - -3963\/13. Which is the second biggest value? (a) u (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.03 (b) 0 (c) 152 (d) 1 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.8338l in millilitres?\nAnswer: 541833.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(20499024\/1863550 - 11).\nAnswer: 5, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617033.\nAnswer: 3, 11, 19, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 812059, 1624170, 2436257, 3248314, 4060335?\n\"Answer: -k**3 - 6*k**2 + 812136*k - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -5341.\nAnswer: 8\/5341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2321250309 to the nearest integer?\nAnswer: 48179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/7896 and -61\/144?\nAnswer: 47376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-5 + (-203)\/(-35)))*(-1 - -3). Which is the closest to 1\/2? (a) o (b) -4 (c) -0.0719 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 15. Let k = -15 - -15. Let f = k + l. Let o(z) = -3*z + 3. Give o(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - u**2 + 11*u. Let g be v(2). Put g, 9, -12 in ascending order.\nAnswer: -12, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-3)*(288\/40 + -6). Let b(p) = -7 + 2 + p + 6 - k + 4*p. What is b(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 14 = 2*u, 2*n - n - 3*u + 4 = 0. Let x(y) = y + 9. Let v be x(-6). Suppose 0 = p - v - n. Solve -p*o + 0*o = 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 3 - 2*r**2)*(-2*r + 2*r + 7*r).\nAnswer: -14*r**3 - 28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1) + (-19)\/((-1140)\/(-72)). What is the fourth biggest value in -12, 4, 2\/3, z?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.056 + -5.544. Let y = 6.6 + k. Which is the nearest to y? (a) -5 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -6 - -6) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(91) + sqrt(91)))\/sqrt(7).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 3, o: 9, n: 2, r: 1}. Give prob of picking 1 r and 1 k.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/3 + 0)*34. Let h = i + 104. Suppose 5*f = -c + h, 4*c - 68 = 4*f - 5*f. Solve -6 = 2*v - v + 3*l, -4*l = 4*v + c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 4535120*j + 117916500.\nAnswer: -5*(j - 26)*(j + 907050)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 138559346801822*k**4 + 831518016206868*k**3 + 971675460672*k**2 + 378518528*k + 49152 = 0.\nAnswer: -6, -16\/41071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from khepnhhhnh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**3 - 26310*p**2 + 1122295*p - 1095990 = 0. Calculate p.\nAnswer: 1, 42, 5219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmrmvfrqmv. Give prob of sequence fmv.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 - 5*z**2 + 13*z - 12. What is the remainder when i(4) is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18516559099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -195*y**3 + 28*y**2 + 16*y - 7. Give a(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465 and 226920.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {m: 3, n: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + sqrt(125) + -5.\nAnswer: -2 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 19*l - 24. Let n be y(17). Is 30 a factor of 152\/5 + (-4)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p + 26. Let a be u(2). Solve 4*x + 0*x = 3*n - 12, -4*x + 5*n - a = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048373404 is divided by 1146.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 95. What is the common denominator of 64\/(-18) - (-1 - (-4 + s)) and -13*-3*4\/(-30)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3405202*t**3 - 2968760*t**2?\nAnswer: -20431212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4*sqrt(25)*-2)\/sqrt(5) + sqrt(20)*-2 + (sqrt(5) - (sqrt(5) + 4 + 4)) + -2)**2.\nAnswer: -64*sqrt(5) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1716973, -3433946, -5150919, -6867892, -8584865?\nAnswer: -10301838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1379)\/28 - 2\/(-8). Let v = -51 - b. Find the common denominator of -19\/6 and (-788)\/(-168) - 3 - v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 330997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 2384185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1347408906 to the nearest integer?\nAnswer: 36707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 15*x**2. Let j(b) be the second derivative of b**4\/6 - 6*b. Determine j(c(n)).\nAnswer: 450*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 22586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 3}. Give prob of sequence ddd.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 213*r**2 + 6*r + 7. Determine a(-1).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 4 - -5 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 = -4*x + 33, -5*k = -2*x - 11. What is the remainder when 33 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/14, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*x + 51*x + 10*x - 71*x - 141*x.\nAnswer: -236*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.318 + -728.318. Let o = 703.58 + l. Let w = 22 + o. What is w rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 24072.36 days?\nAnswer: 2079851904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + 71. Calculate the greatest common divisor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (580\/(-8) - 0)*360\/(-900). Solve -4*j - 5*d - n = 0, 7*j - 18 = 5*j + 4*d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3*j - 8. Let g be k(-6). Suppose 97*l - 72*l - 75 = 0. What is the tens digit of (-7*l)\/((-15)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33279901*b**3 + 818948*b**2 + 27*b?\nAnswer: 199679406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10780 and 642488?\nAnswer: 3212440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 71e8 (base 15) to base 5\nAnswer: 1232233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n - 20. Let a(f) = f**2 + 3*f + 2. Let w be a(n). Suppose -5*x - w = z, 2*z + 2*x = x + 3. Solve -16 = -z*b + 4*r, -r + 0*r + 3 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/(-33))\/(3\/(18\/8))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 23*p**2 + 21*p + 42. What is the remainder when 54 is divided by g(22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 12*k - 1836. Suppose k = -17*n + 21*n. Let r = 143 - n. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -26.69\nAnswer: 32.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnnhg. What is prob of sequence rgn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(2835)*6)\/(sqrt(320)*-3))**2.\nAnswer: 19663\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -6. Suppose -11*x - h + 4 = -7*x, x = -4*h + 1. Let u be (1 - (-4 + x))*(-3)\/18. Which is the closest to z? (a) 1 (b) -0.02 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 35*w = 0. What is the biggest value in w, -128\/3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 15, -a - 4*l - 235 = -225. Sort a, 61, 3.\nAnswer: a, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301225721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a decade in years?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21\/3*-1*(-6 - -4)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505, 2343, 5425, 9757, 15345?\nAnswer: 22195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxss when four letters picked without replacement from tpzssstzxpst?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8275464, -8275463, -8275462, -8275461?\nAnswer: -8275460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29255 + -26650. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from koookokkkkoooook.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1242 and 93978.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8929*n - 12865 = -1877*n + 516035 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f**2 - 11*f**2 - 7*f**2 + 0*f**2 + 0*f**2 - f**2 + (3 + 0 + 0)*(-2*f**2 + 2*f**2 + f**2).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 + -41. Suppose 0*o = -p*o + 8. Suppose -o*q + q - 3*g + 28 = 0, 56 = 3*q - 5*g. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175677 take away -1735477?\nAnswer: 559800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29686637?\nAnswer: 29686637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymbmbbymbyymybmyymm. What is prob of picking 3 m?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 76*d**5\/5 - 23*d + 39. Find the first derivative of q(b) wrt b.\nAnswer: 304*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 14*n - 34. Let f be i(-14). Let d(c) = -23*c**2 + 41*c - 35. Let m(t) = -4*t**2 + 7*t - 6. Let j(g) = f*m(g) + 6*d(g). Calculate j(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9601890.7 to the nearest 10000.\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-30)\/(-9))*9. Suppose -7*c + 0 + 14 = 0. What are the prime factors of (-3 - q) + (c - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474027?\nAnswer: 3, 158009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 240\/(-80)*(0 + (-1)\/(-6)). Is r less than -1173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3 = 1. Let v be (-2 - -1) + (p - 0). Suppose -o - o + 18 = v. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2 + 135\/35.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/29)\/(m\/m**(-3\/7)))\/(m*m*m**13*m**(-16)) assuming m is positive.\nAnswer: m**(-101\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 73*k**2 - 9*k - 5. Let i be w(-3). Is i >= 680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9507 is divided by 8661?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*((-10)\/(-2) - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009212002 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q - 8*q - 420 = 0. Solve 4*k = 3*r + 4, -8*r = -2*k - 3*r - q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 + 4*y**4 - 11*y**4)*(5*y - 3*y - y) + (-y**4 + y**4 + y**4)*(-6*y + 0 + 0).\nAnswer: -18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972.7 + -1071?\nAnswer: 901.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/6))**(-2\/11) assuming o is positive.\nAnswer: o**(-7\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17297.572986589+-38\nAnswer: 17259.572986589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33545 + 29505 = -970*i for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxxxpxx. What is prob of picking 1 x and 1 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 3. Factor 25*h + 29*h**3 + 72*h**2 + 14*h**4 + 31*h**3 - x*h.\nAnswer: 2*h*(h + 2)**2*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25390, 50921, 76528, 102211, 127970?\n\"Answer: 38*g**2 + 25417*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2194624*i**3*u**4 + i**3 - 175551*i**2*u**2 + u wrt u?\nAnswer: -52670976*i**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 100008.\nAnswer: 7\/100008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - (1 + 0))*(-24)\/14. Let f(t) = -t**3 - 12*t**2 + t + 16. Let h be f(o). Suppose 5*j + 331 = h*a - 0*a, -5*j - 79 = -a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3009, -3243, -3477, -3711?\nAnswer: -3945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/4 + 19355087*g**3\/4 + 31218281118540*g**2 + 67136932327596043072*g - 67136963545882000384.\nAnswer: (g - 1)*(g + 6451696)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + (-1 - -1*33) is divided by ((-16)\/(-1))\/1 - (-144)\/(-36).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-189))\/(4\/98)*9\/(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-5) - (-92)\/20. Suppose -d*t + 12 = -38. Factor -t*s**2 + 3*s**5 + 3*s**2 - 18*s**5 - 3*s**3 + 24*s**4 + s**2.\nAnswer: -3*s**2*(s - 1)**2*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, n: 14}. What is prob of picking 2 n and 2 m?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + t + t - 252, 3*y = -3*t - 711. Let n be (-5)\/20 - y\/8. What is the highest common divisor of 40 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2271 - 1918. Is 353 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -727275, -727276, -727277?\nAnswer: -727278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -13. Suppose -4*c = -4*n - 4, -2*n - 1 - 1 = i*c. Suppose -3*y + 74 = 2*q + 6, -5*y - 5*q + 115 = c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14012 + -14019. Sort -1, 21, k, 1 in increasing order.\nAnswer: k, -1, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 230 + -232. What is the closest to -0.09 in -2\/7, 0, -0.2, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1187, 2373, 3561, 4751, 5943, 7137?\nAnswer: 8333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2343*a - 33306. What is c(-14)?\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*h + 5. Let l(m) = m + 1. Let a be l(0). Let y = a + -4\/3. Is h greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612376 is divided by 18548?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = t + 10, -4*h + 0 = 3*t - 10. Suppose -6 = h*y - 7*y. Suppose 31 = y*a + 2*x - 23, -5*a = -3*x - 111. What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14966*j**2\/15 - 7557766*j\/15 + 6464\/3.\nAnswer: -2*(j + 505)*(7483*j - 32)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 14*z + 12. Let j be w(-15). Let i be 5\/((-5)\/(-2)) + j. What is the common denominator of 57\/4 and (-248)\/22*i\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0.03, 2, -2, -0.02 in decreasing order.\nAnswer: 25, 2, 0.03, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + -2 - ((-572715)\/9416)\/15 and 5\/4.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 2907?\nAnswer: 2908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*x**3 + 12*x**3 - 5*x**3)*(15*x + 28 - 28).\nAnswer: 465*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 181 + -110. Let p = 105 - l. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fh when two letters picked without replacement from {v: 3, i: 2, f: 2, h: 1, s: 12}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -41, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 256\/55411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*g)*(183 - 181 - 219)*(-3 - 2*g + 3) + 10*g + 10*g - 3*g**2 + 1 - 19*g.\nAnswer: 865*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**2*o**(5\/3)*o**0*(o*o**0)\/o*o)**(-5\/8))**39 assuming o is positive.\nAnswer: o**(-455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m - 2. Give o(-18).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000062855 to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 1\/12*p**4 + 6*p**2 + 0*p + 0 + 0*p**3 - 1\/60*p**5. Determine v(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j\/(j**(-1\/4)\/j)*j)\/j)\/j))\/j*j\/((j*(j\/j**(1\/5))\/j)\/j))**(-5\/9) assuming j is positive.\nAnswer: j**(1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-15))\/(18\/(-15))*-26*306\/(-819).\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-24) + (-279)\/(-108).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386365171.\nAnswer: 17, 19, 1196177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 90 - 163a455?\nAnswer: -163a395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, a: 4, l: 2, i: 5}. Give prob of picking 1 i, 2 a, and 1 q.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - (-3 - -1)\/(-2). Solve -16 = -l*k - 4*f + 8*f, 3*f - 3 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19280)\/(-723)*(-19)\/(38\/3).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/3 - -12 - (-5)\/3. Let a(n) = 16*n**2 - n + 2. Is a(x) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*p - 4*p + 840. Let q = 72 + p. Which is greater: 12 or q?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -43, -99, -195, -343?\nAnswer: -555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3280368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Let w = 44368 + -44368.3. What is the nearest to 0.1 in 0, w, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -4, 12, 23 in descending order.\nAnswer: 23, 12, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q**3. Let j be s(-1). Let b(f) = 22*f - 1. Let x be b(-5). Let m = x + 254. Calculate the greatest common factor of m and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 1, t: 1, d: 1, v: 1}. Give prob of picking 1 o and 1 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**5\/3 - 7*i**4\/3 + 56*i**3\/3 - 16*i**2 = 0 for i.\nAnswer: -12, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -2, -3\/4, 3\/4, 1 in increasing order.\nAnswer: -2, -5\/3, -3\/4, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6932 or 6934?\nAnswer: 6934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 4*y**2 - y - 5*y + 0*y**2 + 4*y**2 - 11*y**2 - 3 as u + p*y**3 + j*y + o*y**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12565 - -12565. Let c = -3 + 17. Is c equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 0. Suppose -i*c + 42 = 2*n, -2*n = 5*c + 2*n - 106. What is the smallest common multiple of 10 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 2*v**3 + 0*v**3 + 5*v**2.\nAnswer: 2*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 1\/4*o**4 + 0*o**3 + 10*o - 1\/20*o**5 + 0 - 2*o**2. Suppose i(k) = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67369808 and 16842452?\nAnswer: 67369808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627215?\nAnswer: 3, 5, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -31\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11)*-12 - (-120)\/(-660)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-20))\/((6\/2)\/(-15)*43)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 2*p - 1. Let g be y(-1). Let h be (-18)\/((-6 + 0)\/g). Let s be 32\/18 + 2\/h. Solve s*f + 10 = -5*n, -9 - 7 = -n - 4*f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 5, 4 in decreasing order.\nAnswer: 5, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -19 + 3 + -1 + (-9 - -10).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11230025 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*a + 108, 11*a = 10*a + j + 28. What is the greatest common factor of a and 324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7188450 divided by -102.\nAnswer: 70475","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 12, m: 6}. What is prob of picking 1 x and 3 m?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 10*t**2 - 2*t - 14. Let x be u(-10). Let n be 2\/x + 40\/24. Suppose -n*s + g = -78, 3*s + 115 = 6*s - g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**(1\/3)\/i*i)*i)**47)**(2\/39)\/((i**(-2\/15)*i\/i**3)\/(i\/(i\/(i**(-1)\/i)))**0) assuming i is positive.\nAnswer: i**(778\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -41*z**2. Let j(t) = 1256*t**2 + 7. Determine j(b(g)).\nAnswer: 2111336*g**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**8\/70 - 41*r**4\/24 + 5*r**3 + 12*r. Let y(n) be the second derivative of z(n). Differentiate y(v) with respect to v.\nAnswer: 96*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3326, 3319, 3308, 3293, 3274?\nAnswer: 3251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -17) + 36 + -47.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**4\/24 - 2*c**3\/3 - 2*c**2. Let o be ((-55)\/15 - -3)*3. Determine p(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = a, -4*k + a = -2*a - 24. Suppose k*h = -32 + 329. Let v = h + -49. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21480 and 822?\nAnswer: 2942760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -549 + 13214?\nAnswer: 12776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1343264?\nAnswer: 1\/671632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*y**3 - 12*y**3 + 83*y**3 + 57*y**3.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:00 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.634 + 4.535. What is o rounded to two decimal places?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 8*n + 4*n - 754 - 115, -28*n + 559 + 1308 = -149 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(28) + sqrt(28)*3)*-5)*3*2)**2 + -5.\nAnswer: 5760*sqrt(7) + 403339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 39.5 and 154.\nAnswer: 6083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4657*b + 4665*b = -40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3504 + -3500. Solve 4*p = -u*f, p - 5*f + 8 = 26 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14440013 + -4?\nAnswer: 14440005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b + 5 = -5*q, 0 = 4*q - 8. Let x(u) = 13 + 0*u - 2*u + 3*u + b. Let l be x(-7). Solve -n + 3*o + l = 0, -o + 4*o + 9 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 50, -5, -10, -4 in decreasing order.\nAnswer: 50, 4, -1, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 10. Let c be i(9). Suppose -4*l + 6 = -2. Solve -3*b = l + c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 804, 2754, 6576, 12900, 22356, 35574, 53184?\nAnswer: 75816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436191 is divided by 460?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*sqrt(1008)*1 + sqrt(1008)*-1 + -2 + 3 - ((-2 + 2*sqrt(1008) + -1)*5 + -4))**2.\nAnswer: -8064*sqrt(7) + 258489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21393 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/17, 0.04, 1 in ascending order.\nAnswer: -2, 0.04, 2\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4 = -2*w + 12, -4*q = 2*w + 16. Let v = 1 - w. Solve -13 = -4*d + v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 15. Let l be z(17). Find the third derivative of -11*c**l + 59*c**4 + 3*c**2 - 47*c**4 wrt c.\nAnswer: 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -2*c + 5*c - 3*l, 2*c + 3*l = -209. Let r be (-2)\/(-3) + c\/(-12). Solve -1 + r = -3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -811.8 + 812. Put -714, -3, r in ascending order.\nAnswer: -714, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -63\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1235, -1281, -1313, -1325, -1311, -1265, -1181, -1053?\n\"Answer: w**3 + w**2 - 56*w - 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 2. Give f(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b004 (base 13) in base 12?\nAnswer: -10226b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 4, s: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 134813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**5\/4 + 2019*l**4\/2 - 246628*l**3 + 21314967*l**2\/2 - 82316479*l\/4 + 10167255 = 0.\nAnswer: 1, 53, 203, 3780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14741149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1114101101 - 134?\nAnswer: -1114101240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -4\/5, 3\/7, -14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v = 28*v - 6. Let u be 2 - (1 - (-1 - -2)). Let f be (-57)\/(-138) - 1\/u. Is f not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b + 4*i + 6, i + 12 = 3*b. Let m(a) = 2*a**2 - 23 - a + 18*a - 2*a**2 - 6*a**b. Let s(c) = 2*c**3 - 6*c + 8. Determine 6*m(n) + 17*s(n).\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j**2 - 87*j + 99*j - 12*j**3 + 57 + 2*j**2 - 21 - j**4 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 115536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/120 and 37\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27232890 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -0.4, 17 in decreasing order.\nAnswer: 17, 2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -2*c + 58 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faffaabafafafaa. Give prob of picking 1 a, 1 f, and 1 b.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 - t**4 + 2*t**4)*(-3 + 2 + 4).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -589*m**2 + 294*m**2 + 289*m**2. Let d(n) = -6*n + 5. Give d(y(v)).\nAnswer: 36*v**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1138 + 1214.88. Let z = q - 75. What is z rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113 + 107 - (-19722)\/3302 and 19\/182.\nAnswer: 23114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-244)\/610 - 4\/(-10))\/1. Which is smaller: -1283 or h?\nAnswer: -1283","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 16. Solve z*a - 3 = 3*i, 2*a + 4*i - 2*i = 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*((-70)\/(-7))\/30. Solve g = -6*z + 3 + 21 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -522 divided by -87?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -117 - -122. Suppose t - 16 = 4*d - d, m*d = -3*t - 22. Suppose -7 = -o - j - j, -3*o = -j. What is the remainder when t is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 21. Let i(y) = 5*y**2. Determine i(t(l)).\nAnswer: 45*l**2 - 630*l + 2205","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + y - 6 + 3, 5*j + 2*y - 5 = 0. Let z be (-262)\/(-434)*-1 + 1. Let p = 1\/31 + z. Sort -1\/5, j, p.\nAnswer: -1\/5, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -976 + 981. Calculate the remainder when 369 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120726545?\nAnswer: 3, 5, 74715103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**8\/84 + 7*v**5\/60 - 7*v**2\/2 - 3. Let b(g) be the second derivative of z(g). Find the third derivative of b(p) wrt p.\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 761, 756, 737, 704?\n\"Answer: -7*f**2 + 16*f + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 121430151445 from 11.2.\nAnswer: -121430151433.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.213 - -0.087. Which is the nearest to 5? (a) -0.05 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + sqrt(112) + 1.\nAnswer: -4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.3 - 17.1. Let k = 5.5 - -0.5. Let v = b + k. Round v to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eighty-one quarters of a gram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*(sqrt(7)*-2)**2*-2 - (1 + (2*sqrt(7))**2 - -2*sqrt(343))) + 4.\nAnswer: -14*sqrt(7) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1377 - -1379. What is the biggest value in 3, 7\/6, -0.1, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-7216)\/220 + 34.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 54*r**3 - 2*r**2 + r. Let t = 7 + -6. Let h be l(t). Let s = -19 + h. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-6))\/2)\/(290 - (-27874444)\/(-96120))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 2*q - 4, -a + 8 = -0*q + q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36\/6*2\/56*2\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11128 = -6*r - 4324. Suppose 0 = 12*x + 690 - r. Let j be (-6)\/27 + (-2666)\/(-9). What is the greatest common factor of x and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/13)*k\/k**(-5\/7))\/(k*k\/((k**(5\/2)*k)\/k*k)*k*k*(k**(-1\/25)\/k)\/k) assuming k is positive.\nAnswer: k**(20057\/4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 17, 37, 5, -3 in increasing order.\nAnswer: -4, -3, 5, 11, 17, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23.8 and 237955.\nAnswer: 237931.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/52 and 9\/22.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7878 and 3701?\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -804, -792, -766, -720, -648, -544?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.67829367 to three dps.\nAnswer: -8.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from bhhbhbbcbbyhbh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19516715 or -19516717?\nAnswer: -19516717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1710, 3417, 5126, 6837, 8550?\n\"Answer: a**2 + 1704*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 102?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 100 + 51)*((0 + 0 - v)*(-v**3 - 3*v**3 + 5*v**3) - 2*v**4 + 2 - 2).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + 1 + 63 + -3. Suppose -7*w + s = 51. Suppose v - 50 = -4*v. Calculate the greatest common divisor of w and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 47 - 11*z**2)*(-42*z + 112*z - 35*z)*(1 + 3 - 3).\nAnswer: -385*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3022.000003266 + 3022. Round j to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 6. Let g be b(-9). Is 1 - (-3 - -18)\/g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*s + 6*i = 14*s + 8, i + 0*i = 3*s + 2*i - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4234, 34918, 118364, 280954, 549070, 949094, 1507408, 2250394?\nAnswer: 3204434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2728 divided by 24?\nAnswer: -341\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -7. Let o(y) = y + 8. Let f be o(l). Solve f*g = -9, 2*g + 3 = -3*q - g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185.9 - -22.\nAnswer: -163.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -1258, 13\/5, 0.05, -0.4, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-153)\/459*(-2)\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 248.8 - 248. Which is the nearest to 2? (a) -0.8 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -8*b + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 2 - 4)*(2*n**3 + 0*n**3 - 5*n**3) + (1 + n**2 - 1)*(26*n - 10*n - 74*n) to l*n**2 + r + q*n + w*n**3 and give w.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.5762 millilitres to litres.\nAnswer: 0.3995762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) - (-1*sqrt(560) + sqrt(560)))\/(sqrt(80)*4) + 1*(5 + sqrt(343))**2*-6.\nAnswer: -2208 - 1679*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/1*10\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -457*y - 17222. Is n(-52) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861945.\nAnswer: 3, 5, 7, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h + 5*v - 30 = 0, -3*h - 5*v + 40 = 0. Suppose -27*t - 18 = -33*t. Solve h*w = t*f + 3, w - 1 = 4*f - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297 + -181. Suppose -5*d = -2*m - 0*d + 86, d + s = 3*m. Let v = 54 - m. Solve g - 8 = -0*f + 2*f, -4*f - v = -5*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 318 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o - 4. Suppose o*r = 7 + 11. Suppose i + 90 = r*i. Calculate the remainder when 33 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9545 is divided by 832.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6746, 6738, 6724, 6704, 6678, 6646?\n\"Answer: -3*t**2 + t + 6748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 5 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0626271 + 0.06275. What is x rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + 4 + (-1 + ((0 + sqrt(1900))*-3 - (2 + -1 + sqrt(1900))))**2 + 0).\nAnswer: -60818 - 320*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10794 - 5255*w + 10794.\nAnswer: -5255*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c**2 - 1720*c - 172. Let v be i(133). What is the greatest common factor of 25 and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44619 and 6741.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/10 + (-635)\/(-25) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -4. Let x = 6 + g. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14438, 14452, 14466, 14480, 14494?\nAnswer: 14508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3323 + 3347.31. Let s = l - 25. Let m = s - -0.69059. Round m to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g**2 + 79*g**5 + 175*g**5 - 69*g**5 - g**4 + 6*g + g**4 wrt g?\nAnswer: 11100*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -53. Let t(u) = m*u - 4*u - 12*u. Let y(k) = 2*k**2. Determine t(y(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.494 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/86 and 101\/63760400.\nAnswer: 63760400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3*p**2\/2 + 5*p - 1619. Determine w(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 (base 14) in base 12?\nAnswer: 57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/8)\/(3\/(-8)). Let c be (-22)\/12 - (-3)\/v. Let t = 1.6 + -2.1. What is the second smallest value in c, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2924)\/(-1464) - 2)\/((-51)\/(-204))*3?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12\/19, 3, -7, -5 in decreasing order.\nAnswer: 3, 12\/19, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, x: 3, c: 4, r: 5, e: 5}. Give prob of sequence tcc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-2*2 + -4*sqrt(19)*-2 - sqrt(38)\/(-4*sqrt(2) + sqrt(2))*4) + -3)**2 + -3.\nAnswer: -32*sqrt(19) + 4918\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - -7. Let r be ((-3)\/5)\/((-6)\/o). Differentiate y**3 - 122 + r*y**3 + 125 with respect to y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720659.8g in milligrams?\nAnswer: 720659800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357, 1705, 4009, 7269, 11485, 16657, 22785?\nAnswer: 29869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.03 (b) -5 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -4. Let l = 0.6 + k. Let q = -4.1 + 4.5. Which is the second biggest value? (a) l (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3 + (7 - -2 - -7)\/(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 minus -415.246558?\nAnswer: 418.646558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5164 = 4*v + 4*o, -45*o = 3*v - 49*o - 3908. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1703505391 - -19419?\nAnswer: -1703485972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2 (c) 0 (d) 1\/4 (e) 0.4 (f) 256\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w - 0*w. Let g(k) be the second derivative of -k**4\/6 - 2*k**3\/3 + k**2\/2 - 967*k. Let v(j) = 2*j**2 + 4*j - 2. Determine w*v(d) + 3*g(d).\nAnswer: -2*d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let o(t) be the first derivative of -3*t**2\/2 + 113*t + 4835. Give o(x(r)).\nAnswer: 3*r + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 11 - 18*k + 17*k + (1 + 4 - 1)*(2*k - 2*k - k) - 3*k + 4*k - 2*k.\nAnswer: -6*k + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.457 + 0.457. What is the nearest to 1.6 in -0.3, 0, -2\/9, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -15. Suppose y - 3 = -n, -5*n - 3 = 4*k. Solve -5 = k*b + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28543674.\nAnswer: 2, 3, 677, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 844*l - 76*l + 458*l - 227*l + 439*l to o*l + g and give o.\nAnswer: 1438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*q + 2 - 46*q - 2.\nAnswer: -153*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fe when two letters picked without replacement from {e: 1, f: 1, w: 1, s: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19019, -4, 13.\nAnswer: -19019, -4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 805675 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -2. Let k(p) = p**3 + 2*p. Is k(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 6*t + 0*t - 344 + 164 - t + 174. What is h(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*v - 13 + 13.\nAnswer: 243*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.8. Let v = -125\/132 + 13\/66. Let x be (4 - 6 - -4)\/3. Which is the closest to x? (a) v (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239885.018 plus -2430.2?\nAnswer: 237454.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2723097 minus 2783?\nAnswer: -2725880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 3, 16, 4 in decreasing order.\nAnswer: 16, 11, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 5:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n = 90. Calculate the greatest common divisor of 27 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.631 + 17.431. What is the closest to -11 in f, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 140*v - 1859. Determine l(52).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*j + 2, 4*j + 7*x - 14 = 2*x. Suppose 4*h - 24 = 4*i + 92, h = -5*i - 1. Let c = j + h. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44893068 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 4321461?\nAnswer: 4321464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262092839.7 - -262092657.69999814. Let w = z + 182. Round w to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + sqrt(200)\/(-3*sqrt(4)) + -5))**2.\nAnswer: 30*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 3, 661, -5 in decreasing order.\nAnswer: 661, 41, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 (base 15) in base 4?\nAnswer: -20302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + 0*x**2 + 7*x**3 - x**2 - 7*x**3 + 2*x**4 as b*x**3 + m*x + f + q*x**2 + v*x**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/66*8\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111 (base 3) to base 8.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 31*d**2 - 33*d + 45. Let a be m(32). Is a >= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4447.066257 to the nearest 10.\nAnswer: 4450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04812 to 3 decimal places.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*b + 163. Suppose 65*v - 4920 = b*v. Does 50 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 2 + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2325 divided by -31\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + 11*y - 1080 = 37*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 1:58 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0) + 9\/(-6). What is the closest to -1 in 2, w, 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -27*k**2 + 5 + 0 + 31*k**2 - 2*k + 0*k. Let z(i) = 9*i**2 - 4*i + 11. Let a(j) = -j**3 + 10*j**2 - 9*j + 5. Let v be a(9). Determine v*m(c) - 2*z(c).\nAnswer: 2*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38784, -309738, -1045194, -2477406, -4838628, -8361114, -13277118, -19818894?\n\"Answer: -38709*f**3 + 3*f**2 - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*n**3 + 4*n**2 - 49*n**3 - 2*n**5 + 4*n**5 wrt n?\nAnswer: 120*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10261 and 55118?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/3 - 24085*b**2\/3 + 56182*b = 0 for b.\nAnswer: 0, 7, 24078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4 = -3*a, 5*a - 4*v = 28 - 46 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k**2 - 2*k**2 - 3*k**2)*(-41 + 9 + 7 + (-2 + 3 + 1)*(0 - 5 + 4)) to the form q*k + l + a*k**2 and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*k - 66, -3*o + k + 61 = -54. Suppose 4 = -j + n + o, -5*n + 38 = 2*j. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2580814 and 346?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 5*y**2 + 5*y + 1. Let b(h) be the first derivative of h**2 + 2*h + 2. Let x be b(2). What is a(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000851 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2688795540.\nAnswer: 2, 3, 5, 31, 160621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178128425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508690 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6042.632 kilometers?\nAnswer: 6042632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6743749171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -136\/5, -1, -1\/226, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 1575360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 - 3. Let z(h) = -2*h**2 + 1. Let l(g) = 4*r(g) + 11*z(g). Calculate l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a - 0. Let t be (175\/(-10))\/7*2. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71065308.2 - 0.4.\nAnswer: -71065308.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q**(2\/17)*q**(-6)\/q**7)\/(q*q**6*q\/(q**(-4)*q)*q)**(-7) assuming q is positive.\nAnswer: q**(1226\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21120552 and 912.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Let d be 4\/(x\/(-64)*-2). Let y = 5 - -3. Calculate the greatest common divisor of d and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 5)*(-2 + 5*u + 2) to a*u + p and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 + 3*x + 2. Let q(a) = -a**2 - a. Let v(p) = l(p) - 4*q(p). Let u = -5 + 9. Does 10 divide v(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (4 - (15 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 269660 - 523734410\nAnswer: -523464750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 85 - 263 = -3*n, 3*n = -4*l + 730. Let i(p) = 90*p - 1 - l*p + 1 + 97*p. Let b(k) = k - 3*k + 26*k. Calculate i(b(d)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -220?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 9*r**2 - 3*r - 3. Let z be c(10). Suppose -4*i + 215 = z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raaaaaraaararrraraa. Give prob of picking 1 a and 1 r.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*p + 15, -4*y - 1 + 0 = p. Suppose -j + 0 = -y. Sort -3, j, -5 in decreasing order.\nAnswer: j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44445736?\nAnswer: 2, 103, 53939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:32 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-1)*1*2. Let v be (p\/(-10))\/(1 + (-48)\/45). What is the second derivative of r - 23*r**2 + v*r**2 + 2*r wrt r?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 - 4*n - 3*n**2 + 4*n + 2*n**3 to a*n**2 + t + q*n + x*n**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00707*-0.4.\nAnswer: 0.002828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -42.8. Suppose 3*j - 2*j = -4. Let p = 0.0079 - 0.1079. Which is the nearest to p? (a) m (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 1:04 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -8*v = -y*v - 5*o - 370, 0 = 2*v - 5*o - 154. What is the highest common divisor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 473*q**6 + 23*q**4 - 4*q**2 - 2153*q - 1?\nAnswer: 56760*q**3 + 552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*h + 6, -4*p + 6*p - 12 = 4*h. Is ((64\/(-4))\/(-4) + h)*467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 291 or 294?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -k - 4*q - 13, -2*k + 5*q = -17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -2. Let x = -3.58 - -5.21. Let r = x + 0.37. Which is the second biggest value? (a) g (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 1656.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(13)*-2 + (sqrt(52) - sqrt(104)\/sqrt(2)) + -1)**2 - (sqrt(468) + 1 + -1*sqrt(13)*1 + 5).\nAnswer: -29*sqrt(13) + 1867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51380553 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*p - 3 = -3*j - 272*p, 5*j - 4*p - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -9.29831 (b) -0.2 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841120581.\nAnswer: 3, 7, 659, 60779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*2)\/(-2)*(-16)\/4256*38?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -11, -258, -4, -1, 2 in ascending order.\nAnswer: -258, -11, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -757 - -757.2. What is the nearest to 0.2 in -1, j, 3\/10?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - a**2 - a. Let j(x) = -33*x**3 + x**2 + x - 12. Let v(q) = -j(q) - m(q). Differentiate v(c) wrt c.\nAnswer: 105*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 3004, 5, -14, -5.\nAnswer: -14, -11, -5, -1, 5, 3004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948, -1898, -2848?\nAnswer: -3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7 = t + 4*t, -2*t - 2*b - 10 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 9*p + 6. Let d be z(9). Suppose 4*y - 78 = -402. Let c = -27 - y. Calculate the highest common divisor of c and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 871 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*(6 - 11)\/90. Which is the fourth smallest value? (a) 1\/4 (b) 2\/3 (c) l (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.453735203 to 2 dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-3) + (-21)\/(-6). Which is the third smallest value? (a) f (b) 2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/(6\/18). Is 5\/7 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*s**3 - 2*s + 158 wrt s?\nAnswer: 78*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 336 = -135. Let j = 284 - k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -8.971?\nAnswer: -8.971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1377 (base 13) to base 14\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1*-1 + -3)**2*-2.\nAnswer: -3186 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329*t + 12*t**2 - 329*t)*(23*t - 23*t - 3*t**3) - 2*t**5 - t**3 + t**3 + (-2*t - 4 + 4)*(-t + t**4 + t).\nAnswer: -40*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1638 + 0.1638. Which is the closest to s? (a) -3 (b) -3\/26 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16 - -12) + 2 + -155. Let y = -100 - k. Is y smaller than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*f**3 + 31574140*f**2 - 1017272396145*f + 41521269690.\nAnswer: -5*(f - 64437)**2*(49*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 235*d + 500. Determine q(-3).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -1\/2*p**2 + 0 - 38*p + 1\/6*p**3. What is j(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33480 greater than or equal to -33481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdxjdxxjxxxjxjxxxxxd. What is prob of sequence jdjj?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 32*z - 67. Let s be u(6). Let a be 100\/s*(6\/(-32))\/3. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 11. Let o(u) be the third derivative of -5*u**4\/24 + 2*u**3 - u**2. Let x(y) = 6*j(y) - 5*o(y). Let m be x(-6). Is -1 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/2, 2, -6, -52336?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**3 + 2*x**2 + 0*x - 1\/40*x**6 + 1\/8*x**4 - 1\/10*x**5 + 0. Suppose f(j) = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 1. Let f(k) = -2*k**2 + 16*k + 3. Let g = -13871 + 13874. Give g*s(y) + f(y).\nAnswer: y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/1*-4*5\/50*-5. Solve z + x = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 1\/5 (c) 0.1 (d) -58.7 (e) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 13*x**2 - 152*x + 40. Give q(10).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*d**2 + 72\/7*d + 0.\nAnswer: 3*d*(d + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s + 65. Calculate the least common multiple of 4 and ((-7)\/1)\/(s\/26).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 116*x - 588. Calculate the least common multiple of 4 and g(102).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2 and 236\/(-28) - (0 - 2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 11484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*d + 2 = 0, -o + d = -0*d - 2. Let v(c) = 1 + 20*c**2 - c**3 - 5*c + 10*c + o*c. List the prime factors of v(20).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6545 to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 1. Let q be b(1). Factor -2*g**2 + g**3 + 4*g**2 - q*g**2.\nAnswer: g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*w)*(w - w + w)*(-3 + 5 + 0)*(-1 + 2 - 9).\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 29*b**2 - 120.\nAnswer: -29*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 9 - 3. What is the common denominator of (-853)\/(-72) - (-2)\/(-9) and (-4)\/i - 23\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -162 + 241. Suppose 28 = -m*g + 83*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 2\/5, 2, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**5 - 56*j**4 - 200*j**3 - 160*j**2 + 204*j + 216 = 0 for j.\nAnswer: -9, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3184*n + 7. What is y(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -658 - 124?\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2057316 and 181353.\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -22 - (-72 - -16)*195?\nAnswer: 2, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1197.56 + 0.510643\nAnswer: -1197.049357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 47776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/(l*l\/(l*l*l*l\/(l*l**24\/l)*l)) assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1003000200 (base 4) to base 3.\nAnswer: -111221111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a - 10. Let f be k(2). Factor -n**3 - f*n**4 + 0*n**4 - 4*n**3 - 3*n**3.\nAnswer: -4*n**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2101 - 233112102?\nAnswer: -233120203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11541, -17953, -24357, -30747, -37117?\nAnswer: -43461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fpiue?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 1 + q**3 + 2 - 7*q**3)*((-3 - 3*q + 3)*(1 + 5 - 4) - q + 4 - 4) as z*q + b + s*q**4 + o*q**3 + c*q**2 and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/397 + 804\/1985. Let o(b) be the first derivative of -1\/5*b**4 + 4\/5*b**3 - 4\/25*b**5 + d*b**2 + 8 - 8\/5*b. Determine p so that o(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 148 = 0. Suppose -11 = -4*c + g. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3 - 7*i + 1. Let c(w) = w**3 + w**2 - w + 1. Let h(s) = 6*c(s) - g(s). Let x = -41 - -36. Does 21 divide h(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*n + 11*n + 4016 + 1165 = 95*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 280771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + f**2 - f - 2. Let t be z(-1). Solve 14 = 5*u - 4*y, 4*u = t*u + 3*y + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:45 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = -5*f. Let x be (8\/6)\/(f\/(-18)). Solve -4*q = p + x*p - 15, -5*q = -25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87044735*o + 174089518*o - 87044753*o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 494385744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**3 - 12*m**2 + 11*m + 17. List the prime factors of d(6).\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/744500 and -71\/74450?\nAnswer: 744500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7098427889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(175) + 0)*3 - sqrt(175) - ((sqrt(175) - sqrt(175)*-5) + 3))*1)**2*6.\nAnswer: -33708 - 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 13 = -5*t. Differentiate 3*i - 2*i**4 + 0*i + 1 - t*i with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53.21 + -53. Let c = -10 - -9.89. Let f = c + h. Sort 1\/9, f, 3 in ascending order.\nAnswer: f, 1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 + 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**2 - 2*h**2 + 2 + 13*h**3 - 2 wrt h.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 10*j - 10. Let i be w(8). Suppose 6 = -3*b + i*b. Suppose -3*z + 4*g - 8 = 0, 0 = 2*g - g - 5. Solve -3*h + z = -b*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221340311 (base 5) in base 14?\nAnswer: 15d4870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/21 in 3\/4, -2\/9, 0.4, -2\/565, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 45 = 26*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m + 50. Give j(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*s**3\/3 - 463*s**2 = 0.\nAnswer: 0, 1389\/88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/4)\/(((-160)\/288)\/((-4)\/(-18)))*-46.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36\/2 + (-11 - 27)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 164 * 11\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**2 - 165*h - 1744. What is s(-15)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 49343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 11*h - 25. Let j be k(11). List the prime factors of (-10)\/j - (-2 - 984\/15).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:52 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u. Let f(k) = -190*k**2. What is f(h(r))?\nAnswer: -760*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, -18, 38, 8, 3 in decreasing order.\nAnswer: 38, 8, 6, 3, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**3 - 3*o**3 - o**3 + (o + 0*o + o)*(-2*o**2 + o**2 - o**2) + o**3 + 8*o**3 - o**3 + o**3 + 0*o**3 + 2*o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 15, w: 4}. What is prob of picking 2 e and 1 w?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/14 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 9*c**2 - 6*c - 2. Let a be j(-5). Let p be -4 - (-4 - (-3 + a)). Let g be 10*4\/((-1 - p) + 3). Solve -q - g = 3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003483 rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8846?\nAnswer: 2, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -277*m**2. Let a(i) = 1292*i - 11. Determine a(b(l)).\nAnswer: -357884*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-50907)\/1491 + 21*(-20)\/(-12)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 943 and 1564.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -4\/5?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -29 - 8\/(-2) - -4. Let p = -19 - o. What is the remainder when 83 is divided by (1 - p) + 6 + 12?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 16. Is (1 + 21)*f\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4848 and 89688?\nAnswer: 179376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3. Let h = -3 + o. Suppose h = 2*t - 3*t + 30. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 586159 - 561336.04. Let n = 24818.5599905 - o. Let c = 4.4 + n. Round c to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/3)\/7*51\/(-34)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 6. Let c be x(9). Let g be 95*6\/(-15)*2. Let i = 81 + g. Put c, i, -5 in increasing order.\nAnswer: -5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(4)*1) + sqrt(14))\/(sqrt(22)\/(sqrt(11) - sqrt(396))).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -55*o - 4. Let g = -49 + 46. Is 17 a factor of s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 6*r**2 + 3*r + 7. Let d be k(-6). Let n = 15 - d. Let c = n + -28. Let f(b) = 2*b**2 + 2*b - 1. Determine f(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4894.81 and 0.5.\nAnswer: -2447.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 10. Suppose 11*q - 76 = 34. Let k(p) = -p + p - 3 - p. Calculate q*k(w) - 3*c(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 3. Let g be j(5). Suppose -14 = b - 3*m - 40, b - 2*m - 22 = 0. Suppose -2*v = t - 0*t - b, 3*t = -2*v + g. Put -2, t, 0 in descending order.\nAnswer: t, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 231, 301, 371, 441?\n\"Answer: 70*p + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, w: 5, j: 3}. What is prob of sequence jw?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 10*a**2 + 21*a + 31. Determine l(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0 (c) 0.3 (d) 5566\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 - (1 + -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*q + 87*q = -13851. Let d be 2\/(q\/126 - 4). Suppose -d - 4\/7*a**2 - 8*a = 0. What is a?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 9*b - 99. Let q be (-11)\/b - 122\/(-6). Let p = -4 + 9. Calculate the greatest common factor of p and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 419065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1057 or 16.64?\nAnswer: 16.64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, d: 13, t: 2}. Give prob of picking 2 g and 2 d.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 157.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.5 - -17. Let t = m + 4.5. Let g = 5 - t. What is the nearest to g in -4, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 557, 764, 971?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51.27907km?\nAnswer: 51279.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -10 - -246*28\/21 and 4?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2865719.\nAnswer: 61, 109, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 340322009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*k + 52*k + 6. Calculate the common denominator of 14\/4*38\/(-6) and (-59)\/(-6) + (-2 - (k - 7)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 7*i**4 + 0*i**2 - 2 - 5*i**2 - 3*i + 3*i**2 in the form c*i + d*i**4 + x + g*i**3 + a*i**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.083.\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25512, -25455, -25286, -24945, -24372, -23507?\n\"Answer: 10*h**3 - 4*h**2 - h - 25517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -300 divided by -12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from {u: 2, a: 3, v: 1, j: 1, z: 1, s: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 * 0.66\nAnswer: 3.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + 61 + -84 - (-5 + 166).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 0\/(-8). Let b(z) = z**3 + 2*z**2 + z + 2. Let s be b(-2). Suppose s*m**3 + 0 - 1\/2*m**2 - 1\/4*m + n*m**5 + 1\/2*m**4 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 8 = 7*h + 35*t, -4*h + 11*t - 131 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-15))\/4*30\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -261*c**2 - 23*c + 10. Let p(j) = -259*j**2 - 29*j + 12. Determine 5*d(n) - 4*p(n).\nAnswer: -269*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 409063, 409062, 409061, 409060?\n\"Answer: -x + 409064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*n - 104 + 10, -5*n - 3*o + 144 = 0. Let h = n - 15. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7075 is divided by 875?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 233354432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2205*v = 2412*v - 4347 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*v + 8 = 0, -3*o + 3*v = 2*o - 10. Suppose -6*n = -o*n - 32. Solve -2 = 3*g - n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -9, 15, 57, 117, 195?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18654*d**2 - 7439*d**2 + 2*d + 3 + 8522*d**2.\nAnswer: 19737*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-12)*((-286)\/1001)\/((-1)\/(-14)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 380 = -8*y. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -489*o - 374. Is v(-5) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 5 - 5)*(2 + 1 - 7)*(2 - 2 - 3*v)*(-6*v**2 + 9*v**2 + 4*v**2).\nAnswer: -168*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 - (-55)\/(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288337579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9856 by -4.\nAnswer: 2464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*x = 126*x + 168. Is x\/224*1\/((-2)\/3352) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3143.522 times -0.002?\nAnswer: 6.287044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 32. Suppose -19 = -3*y + o, -2 = -5*y - 2*o + v. Find the second derivative of -y*i + 18*i + i**5 + 21*i**5 wrt i.\nAnswer: 440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(252) - sqrt(7))*-4.\nAnswer: -44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2726055506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92224 by -4192.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 27*x**2 + 65*x + 43. What is i(-24)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, 287, 773, 1445, 2297, 3323, 4517, 5873?\n\"Answer: -l**3 + 102*l**2 - 5*l - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*u = -172*u - 3465. What is the highest common factor of u and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.153 (b) 2 (c) -1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120121211 + -1?\nAnswer: -120121212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 3. Let s = -5 - -3. Let x = 46 - 41. Let c = s + x. What is k(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -622*g - 247. Is v(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 2. Let v be o(-1). Sort -4, 0, v in decreasing order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**5\/20 - 2*y**4\/3 - y**3 + 3*y**2 + 2*y. Let m be r(-7). What is the remainder when 35 is divided by 12*(-2 - -1)*m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116666 divided by -2\nAnswer: -58333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*a, a = -4*b + 5*a + 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/580*992\/93*2\/16.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p. Suppose p = 9*o - 13*o - 80. What is the common denominator of 61\/22 and -14 - -11 - 194\/o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -33*b. Let u(a) = 126*a. Calculate t(u(y)).\nAnswer: -4158*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7\/56*(9 + 3 + -2)*3836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -7, -3, 269 in decreasing order.\nAnswer: 269, 95, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 2:09 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 137*u + 141*u - 24, -u + 1 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4110455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 139333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m + 38. Let p be k(-12). Put -1\/6, 3, 2\/3, p in decreasing order.\nAnswer: 3, 2\/3, -1\/6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 + 2*u**2 + 2*u + 1. Let r be m(-1). Let j(q) = -q + 3. Let k be j(-3). Suppose -r*x - 46 = -k*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by -126.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15095 divided by -4?\nAnswer: 15095\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 1348241.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 22266960.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44\/125 + -7829\/2000. Find the common denominator of -2 + (715\/248 - 1) and j.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86.00037 + 86. Round c to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32638 is divided by 127.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-3 + sqrt(720))*-3 - sqrt(720) - -3*(sqrt(720) + -2)))**2.\nAnswer: -1152*sqrt(5) + 11664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1001*l - 44. What are the prime factors of j(4)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 845508156\/(-15)*7\/(-2184). Let m = -180664 + q. What is the common denominator of 123\/10 and m?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43306 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -40, -1\/3 in descending order.\nAnswer: -2\/7, -1\/3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5828078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -2\/17, -1, 2 in descending order.\nAnswer: 2, 2\/15, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*v**3 + 44*v**3 + 125*v**3 - 24*v**3.\nAnswer: 276*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1092, 4036, 8942, 15810, 24640, 35432?\n\"Answer: 981*x**2 + x + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 440 and 2112.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - w**2 - w**2 + w**2 + 2*w**2 + 0 - w**2 + 0 + (-w + w + w)*(2*w + 0 + 0) + (2*w - 3*w + 3*w)*(246*w + 24 - 259*w - 14).\nAnswer: -24*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1981 in -8, -2, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**2 - 33 + 1\/3*p**3 + 4*p. Let t = -4 + 7. Calculate w(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4034 = -62*y - 1616 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 3624667*g\/2 + 1359249\/2.\nAnswer: (g + 453083)*(8*g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 15 = -12*t. Let m be ((-4)\/8*-16)\/2. Solve t*n - m = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2904478 or -2904479?\nAnswer: -2904479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -20) + (33 - 77 - -34)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80863, -80955, -81047?\nAnswer: -81139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*k + 203721 = -772463, 5*m - 5*k + 4881010 = 0. Let q = m - -499199. What is q rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3457\/330 - -52\/33. Calculate the common denominator of c and 2\/(-4) + 23\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdddfxdxuxd. Give prob of picking 1 u, 1 f, and 2 d.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**5\/20 - q**4\/12 + q**3\/6 + 2*q**2 + 13*q. Give v(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g**2 - 27*g + 9. Let q(m) = -4*m**2 + 9*m - 3. Let j(f) = -3*h(f) - 8*q(f). Let z(k) be the first derivative of j(k). Does 11 divide z(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79 - 55 - 45)*(-3*a**2 - a**2 - a + 2*a) to the form t + p*a + f*a**2 and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9515\/330 - (-15)\/(-18). Solve 0 = -6*z - a + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 1. Determine h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + l = 5*l - 2, w + 3*l = 4. Let y = -5 - w. Does 2 divide 44\/16 + y\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 870 - 870. Which is smaller: b or -1\/486?\nAnswer: -1\/486","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 34014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19303500 and 40878.\nAnswer: 173731500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) 4 (b) 1\/2 (c) -542\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -101423326*c**2 + 157031199?\nAnswer: -202846652*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -8*c + 4. Let z(w) = 1. Determine -q(a) + 8*z(a).\nAnswer: 8*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2454342 and 794662?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2 - 2*w + 0 + 1 + 3*w. Let h(r) = -r - 4. Let f be h(-6). What is m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2666.\nAnswer: -266.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o + 1. Let q(p) = 5*p. Give -4*d(b) + 5*q(b).\nAnswer: 9*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 3*m**5 - 48*m**4 - 54*m**3 + 48*m**2 + 51*m = 0.\nAnswer: -1, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -3.9.\nAnswer: 2.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + 280*b - 35903. Calculate c(-136).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.024 and 538.197.\nAnswer: 12.916728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11\/2295, -0.1, -5\/2, 3\/8 in increasing order.\nAnswer: -4, -5\/2, -0.1, 11\/2295, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let q(j) be the first derivative of -4*j**3\/3 - 88. Determine q(z(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88791, 88787, 88783?\nAnswer: 88779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*z = -42, -4*o = 3*z - 53 + 2. What is the remainder when 257 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*j + 7 = 0, -2*y + y + 1 = -j. Let f be (-3 + 17\/5)\/((-45)\/(-75)). Find i such that -1\/3*i**2 - i**y - f*i**4 + 0 + 0*i = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 325 + -279 + (-11 - (-1 + -2 + 0)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v*x**2 - 4*v*x + 69*v - 4*x**2 wrt x.\nAnswer: -4*v*x - 4*v - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -230, -528, -966, -1556, -2310, -3240, -4358?\nAnswer: -5676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Let v(n) = 2*n**3 + 4*n**2 - n**3 + 0*n**j - 3 + 0*n**3. Let o = -7 - -4. Give v(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145.7 + -137. Let p = i - 8.63. Which is the closest to 2\/7? (a) p (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.4024 grams in milligrams?\nAnswer: 48402.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.67236277 and 0.01.\nAnswer: 0.68236277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n + v, 2*v = 1 + 3. Is (n - -2)*-1 - -110 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -11*j + 124. Suppose -2*u + 2*x + 24 = -0*x, x + 1 = 0. Let r be p(u). Solve 3 + r = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19 (b) 360 (c) -3 (d) -442\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2 and -45?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(8\/7)\/i))\/i)**(-5\/9)*(i*i**(-18))**(-3\/19) assuming i is positive.\nAnswer: i**(3308\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**3 + 8 - 2 + 52*m**2 - 59*m**2. Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10222 + 10221.99996214. What is z rounded to seven dps?\nAnswer: -0.0000379","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 2*z**2 + 4*z + 1. Suppose -2*l = -6 - 0. Let r be w(l). Suppose 55 - 163 = -r*c. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49174*y - 84617*y - 10*y**3 + 35443*y.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -0.9. Let z = t - -5.1. Let w be -5 + 9420\/315 + -25. Which is the nearest to 0.2? (a) -3 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-2*i - i**2 + 2*i) - 7*i**2 - 18*i + 18*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1203\/2 + 601. Which is the smallest value? (a) g (b) 4 (c) 0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*t**2 - 19068*h*t + 6065*t**2 wrt t.\nAnswer: 2*h + 12130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j*j**(-2\/3))\/j))**(1\/10)*(j\/(j**(-2\/3)\/j))**(-13) assuming j is positive.\nAnswer: j**(-343\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/21)\/((-1)\/(-21)). Suppose -14*s - 626 = -122. What is the units digit of (-1263)\/q + 6\/s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 - -3.02. Which is the closest to 2\/5? (a) n (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14812019, -59248004, -133307977, -236991938, -370299887, -533231824?\n\"Answer: -14811994*w**2 - 3*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -957, -1915, -2873?\n\"Answer: -958*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105570 or 738989\/7?\nAnswer: 738989\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 17 = -5*b, -2*f + 29 = f + 5*b. Let 0*a**3 - 2*a**f + a**2 - a**4 + a**3 + a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 18*c + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + 5*x + 5. Let f(q) = -13*q**2 + 21*q + 19. Let a(s) = 2*f(s) - 9*v(s). What is the least common multiple of a(6) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11170 and 89363\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5615127430 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6444\/(-6802)*(-3)\/(-9)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1738316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 4*h - 2*h - h to x + n*h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97, -369, -825, -1465, -2289?\nAnswer: -3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s - 20*s + 1114575 = -14*s. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 42 = -4*a - 17, -2*a + 30 = 4*s. Suppose 0 = b + 4*b - s. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64\/(-160) - 2\/(-10)*272182.\nAnswer: 2, 31, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -1)\/(-2) + 15. Let u be 18 - (-1 + (-9)\/(-3)). Suppose -3*c = -k - 4, -4*k + 2*c - 6*c = -u. Solve -k*m - m = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655588 is divided by 2655577.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.93 - -0.07. Let h be 2\/4 - (-11)\/((-44)\/135). Let d = -34 - h. What is the closest to 1 in d, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/2837748 and -59\/2837748.\nAnswer: 2837748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 483331426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, y: 15}. What is prob of sequence ccyc?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -24*v**2 + 115*v + 194. Give f(0).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/(-378))\/((-3)\/(-1))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 65*r - 128226 = 0. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + 3 + -9 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1584)*-1*6 + (sqrt(1584)*-3 + sqrt(1584))*3 - -1*(-2 + sqrt(1584))*-4*-5))**2.\nAnswer: -122880*sqrt(11) + 1647616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -324 and -90.87.\nAnswer: 29441.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.25101 rounded to two decimal places?\nAnswer: 9.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 392 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: Work out 0.06 * 797.\nAnswer: 47.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, e: 4, n: 12, p: 2}. What is prob of picking 1 e and 2 n?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, 0.1, 2\/3, -69, 3 in increasing order.\nAnswer: -69, -3.3, 0.1, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20040627 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -22, -40, -78, -142, -238, -372?\n\"Answer: -o**3 - 4*o**2 + o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-5)*(-34)\/4012\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19429 divided by 1?\nAnswer: -19429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 9*v**2 + 16*v + 69. Let a be b(-8). Suppose 40*f - m = 36*f + 16, 5*f = 5*m + a. Solve 0 = 3*d + 12, -d + 5 = f*z - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttvbttvbbttttvttt. Give prob of sequence vb.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*c - 66. Let q = c + 58. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 16.791 (b) 1\/16 (c) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8897.971 litres?\nAnswer: 8897971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10181432 is divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 72465973 to the power of 1\/3, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4*2 + -2)*(-8)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Suppose i = -4*q - q + 20. Suppose 2*g - 3*c = -7, -q*g = -2*g + 3*c - 23. Solve -3*s + 3*r + 24 = 0, s + r - g = -6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/2 of a century?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 + 10*m**2\/9.\nAnswer: 2*m**2*(3*m + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 882288 and 641664.\nAnswer: 7058304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of s**9\/3024 + s**8\/840 + s**7\/840 - 5*s**3\/3 + 9. Let o(g) be the third derivative of l(g). Factor o(a).\nAnswer: a**3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/36 + 1099\/(-924).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823470738.\nAnswer: 2, 3, 47, 2920109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 129, 216, 311?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -4*j + 67. Suppose -4*s + 231 = j. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 8*o**2 + 11*o - 13. Let a be u(9). Suppose 3*b - 2*w - 15 = 0, -w - 14 - 18 = -5*b. Let j = b - a. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192*-523\nAnswer: -100416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 55*s + 14. Calculate the remainder when 46 is divided by p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -100761, -100743, -100725, -100707?\n\"Answer: 18*j - 100779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14361.769 to the nearest 100.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 183855.786 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130312 = -469*d + 417*d. Does 97 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 z, and 1 n when four letters picked without replacement from {j: 1, n: 1, z: 2, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a + a + (-1 - 2*a + 1)*(2 - 3 + 0) + 3*a + 2*a - 4*a)*(-302 + 302 + 114*a**2).\nAnswer: 456*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -q - 4, -12 = -3*q - 0*q - 2*l. Solve q*i = 3*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1880323155 to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a + 88 = -152 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/((-98)\/(-6)) - (-39)\/7. Let l be (g\/(-14))\/(3 + (-27)\/12). Does -1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*g**2 + 24*g**2 + 767 + 736 - 1516.\nAnswer: 4*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/3347 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 12:23 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y**2 + 6*y - 15. Let g(p) = -6*p**2 + 6*p - 20. Determine 6*g(a) - 7*m(a).\nAnswer: -a**2 - 6*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*p**2)*(-20 - 445*p + 226*p + 220*p) to the form n*p**3 + k + f*p**2 + g*p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 8*a - 5. Suppose -3 + 1 = -x. Suppose -5 = -5*d + 3*f, 0 = 2*d - 5*f + 3*f + x. What is the remainder when m(6) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 10 + 10. Let n be (5\/(-2) - 0)*(-464)\/(-8). Let a = n - -293\/2. What is the closest to -1 in a, 2, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/60805 and -18\/2420039.\nAnswer: 12100195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 356? (a) 3\/4 (b) -1\/3 (c) -135\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508836 = -311*r + 491109 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 0.2, -73, -3\/5, 1.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/2288 and -47\/146432?\nAnswer: 146432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13763.9 and -702?\nAnswer: -9662257.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 115748626 divided by -1414\nAnswer: -81859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*t + 24020 = -2079*t - 7390 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + (sqrt(117) - sqrt(117)*-1*-4)))*-3)\/(sqrt(54)\/sqrt(54) - -1*sqrt(36)\/sqrt(4)).\nAnswer: -27*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2437 and 553.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32444*c*p**3 + 145*c*p**2 - 3729911*p**3 wrt c?\nAnswer: 32444*p**3 + 145*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.32, -109\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(-2 + 6). Let p = -1162 - -1170. Let w be x\/(-3) + (17759968\/(-6))\/p. Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 42*(-138)\/57960*(35\/3)\/1\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7*m - 308 = 3*t, -5*m + 385 = -3*t. Suppose 4*x - m = 243. Suppose 0 = -3*n + x + 10. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-25)\/3)\/(5\/465). Let b = a + 7867\/10. Calculate the common denominator of -55\/7 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (46\/18 + -2)\/(2\/6). Let h = -4733 - -4732.6. Sort u, h, -0.05 in descending order.\nAnswer: u, -0.05, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 27*m + 17. Let q(p) = -3*p + 1. Let r(x) = 2*k(x) + 6*q(x). Solve r(d) = 0 for d.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*i = -699405 - 520522, 3*i = -18. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-7 + -1 + 1). Let s = l - 5. Let o be (1\/(-1))\/(s\/4). Which is bigger: -5\/3 or o?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4836939897 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-94 - -4)\/10 - -20. Suppose u - 1 - 4 = 0. Let x(f) = -f**3 + 6*f**2 - f - 6. Let i be x(u). Solve 5*o + i = -r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8132 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 7*f - 2. Let p be s(7). Let r(o) = 10*o**3 - 3*o**2 - 3*o - 2. Let v be r(-3). Find the common denominator of v\/(-72) + p\/(-8) and 19\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/9623 + 1924423\/567757. Let m = v - 7507\/944. Calculate the common denominator of m and -19\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20519307*j**2 + j + 0*j + 1 + 0.\nAnswer: 20519307*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**3 - 52*r - 8*r**3 - r**3 + 13*r**3.\nAnswer: -4*r**3 - 52*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*y - 816*y + 53025 = -35455 - 40660 for y.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.41387569 - -0.5.\nAnswer: 0.91387569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000711 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uummum. Give prob of picking 1 u and 2 m.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -9. Let o = t + -5.00094. What is o rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 221. Let r = s + -629\/4. Let t = 1334\/25 + -31673\/550. What is the common denominator of t and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29413930?\nAnswer: 2, 5, 7, 13, 32323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/42 - 768\/(-56). Let n be -2 - (-3)\/6*o. Solve n*w + 0*w = -3*l + 40, 2*w = 3*l - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(396)\/(sqrt(9)*-1))\/(-1*sqrt(100)) + 0.\nAnswer: -6*sqrt(11)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-68) + -2*1\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1. Let k(c) be the second derivative of -8*c**3\/3 - 11*c**2 - 22*c. Let i(g) = -44*h(g) + 2*k(g). Let t(l) = -2*l**2. Give i(t(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.143 + 17.443. Let n = 12.3 - y. Let u = -0.8 - -0.8. What is the biggest value in u, -1, n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**2\/2 - 4*i + 3. Let m be f(5). Let t be 2*m\/2*5. Solve r - 2*u - 11 = 0, -t*u - 29 = 5*r - 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140525565 divided by -5.\nAnswer: 28105113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 29*v**5\/60 + 5*v**4\/24 + 5*v**3\/3 - 120*v**2. Find the second derivative of t(j) wrt j.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0 (c) -0.19 (d) 0.3 (e) 806\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553436*b = 553435*b - 4*u - 34, 5*b + 5*u + 95 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + m + 2. Let h be y(0). Suppose 4*t = u - 1 - 4, u - t - h = 0. Which is the closest to u? (a) 2 (b) -0.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22710 + 22710 - 2709*y as w*y + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(2\/5)*g*g)\/g)\/g)\/(g**(2\/17)*g)*g**(-6)\/(g*g\/g**(1\/9)))**(-8) assuming g is positive.\nAnswer: g**(52672\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4)\/w)\/w)**34\/((w\/(w**(-1\/3)*w))\/w)**(-11\/4)*(((w\/w**(-2\/13)*w)\/w*w)\/w**(2\/9))**(-5\/8) assuming w is positive.\nAnswer: w**(-29269\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 139*r**3\/3 - 135*r**2\/2 - 120. What is the second derivative of q(k) wrt k?\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 12:55 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3008*d + 2820*d = -5640 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*d + 2*l, 3*d - 4 = 6*d - 4*l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 679487 (base 13) to base 8\nAnswer: 11255565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.7489 and -717086.\nAnswer: -717082.2511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1968510 divided by -6.\nAnswer: -328085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10112403 + -5?\nAnswer: 10112376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 6 (c) -3 (d) -5 (e) 1\/94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15955*2\nAnswer: -31910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -253 + 452823?\nAnswer: 4525a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.743 + 0.257. Let y = 32.8 - 33.8. What is the closest to u in 2\/11, y, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3075\/1640)\/(18\/48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let i = -49 - -51. Let s(o) be the first derivative of -1\/2*o**i + 0*o + 2. Calculate s(l(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1100101 (base 2) to base 11\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 91, 133, 175?\n\"Answer: 42*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 5*w. Let k(d) = -d**3 - 4*d**2 - 5*d - 12. Let i be k(-4). What is the third biggest value in w, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16.652, 24, -3, -71, -2, 3 in ascending order.\nAnswer: -71, -16.652, -3, -2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 0)*80\/24. Let a(s) = -s**3 + 9*s**2 + 14*s + 1. What is the units digit of a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.6 and 19.\nAnswer: 20.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55*1.45464.\nAnswer: 80.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3211 and 343239?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1598 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 5 - -8 - (-6 + 14 - 2 - 36).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j + 35*j - 396 = 37*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*a - 7 - 5, -2*d + 3 = 3*a. Let q = -189 - -193. Calculate the remainder when d is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -527\/78 - -51\/13. What is the common denominator of k and 17\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 + 2*y**2 - 2. Suppose 3*j = 750 + 801. Let n = 522 - j. Let c(r) = 5*r**2 - 5*r**3 - 4*r**3 - 5 + 2*r**3. Determine n*l(u) - 2*c(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 153288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h. Let m(o) be the third derivative of 0*o**3 - 2*o**2 + 0*o + 1\/12*o**4 + 0. Determine n(m(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(68)*-2 - (sqrt(68) - -1*sqrt(68))*2)\/(sqrt(44)\/((sqrt(110) - (sqrt(110) - sqrt(110)*-2))\/sqrt(10))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6695.23763 rounded to the nearest ten?\nAnswer: -6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8 = 32*f - 31*f, -3*q - 1 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -21. Calculate the remainder when 14 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1141 - 285 = 4*x. Let q = x + 187. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6330 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*t = -42*t + 1933704 + 452196. Round t to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*o - i + 14 = 83*o, -5*o - 52 = -3*i - 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 13. Suppose 0 = -0*m + m - 2*i - 39, -5*m + 3*i = -174. Suppose -t*q + 2*q = -m. Is q 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) -1\/6 (b) 74\/17 (c) 0.4 (d) -135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 35*m - 74. Calculate the remainder when 108 is divided by g(-32).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -10?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by -9\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 5:41 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + -0.07. Let h = v - 0.04. Which is the nearest to -1? (a) h (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35435, -2\/5, 1\/6, 5, -0.7 in decreasing order.\nAnswer: 35435, 5, 1\/6, -2\/5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27814 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 - 6*o**3 + 3*o**3)*(2*o - o - 2*o) - o**2 - o**4 + o**2 + (602*o**3 + 18*o**3 - 142*o**3)*(o - 5*o + 3*o).\nAnswer: -480*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 2*b**2 + 0 + 1\/6*b**3 + 9*b. Determine y(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/(-30))\/(-8))\/(3*(-1)\/(-60))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4*u**3 - u + 6. Let z(t) = -t**3 + 1. Let c = 56 + -45. Suppose -12*r + 6 = -c*r. Determine r*z(m) - k(m).\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/(v*v**7)*v)\/v*v**(1\/3))\/((v*v*v**(-8)*v)\/(v**(-1\/5)*v))*(((v**(-1\/6)\/v)\/v)\/(v\/(v*v**(-1\/2))))\/(v**(2\/9)*v*(v*v**(3\/7))\/v) assuming v is positive.\nAnswer: v**(-1318\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 2. Let i be s(1). Let f(o) be the first derivative of -2 - 2\/3*o**2 + 5\/6*o**i + 2\/3*o**3 + 0*o. Determine j, given that f(j) = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*c*c*c**(-2\/37)*(c*(c**(-2\/13)\/c)\/c*c)**(-4\/17))**(-1\/5) assuming c is positive.\nAnswer: c**(-259474\/613275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -19, 5, -10, 26\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.27, -37, 1.15, -0.04 in ascending order.\nAnswer: -37, -1.27, -0.04, 1.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**4\/12 + n**3\/6 + n**2 - n. Let v be s(0). Suppose -13 = -3*z + v*z. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29462?\nAnswer: 2, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 + 46. Let y = 82.12 + x. Sort y, -0.1, -1 in increasing order.\nAnswer: -1, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, -74, 2, 1\/6.\nAnswer: -74, -0.3, 1\/6, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a*a*(a*a*a*a*a**(-6)*a)\/a*a**(-3))\/((a\/(a**4*a*a))\/(a*a\/a**(1\/2))))**(-4) assuming a is positive.\nAnswer: a**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*(1 - (-1 + (-6)\/(-4))). Let l be 2 - (q\/(-4))\/((-4)\/(-208)). What is the highest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 2375*z**2 + 43965*z + 199665.\nAnswer: -5*(z - 493)*(z + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:19 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from {q: 1, w: 1, z: 3, b: 1, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 45. Suppose 0 = 4*y + 24 - 156. What is the units digit of 11\/x + y\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/72*-6*306\/85\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 1. Let f = 10 + p. Let o = f + 4. Put -3, o, -2\/15 in increasing order.\nAnswer: -3, -2\/15, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/296 and -97\/18?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2348*w - 124456. Calculate t(53).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/2 + 405*g - 2421\/2.\nAnswer: -(g - 807)*(g - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.4. Suppose -5*o - 5*u - 30 = 0, 3*o - 20 = 6*o + 5*u. What is the nearest to -1 in o, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 17. Let u(b) = b**3 - 3*b**2 - 4*b + 2. Let w be u(l). Let o be (1 - w)\/(6\/(-6)). Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 132 = 3*q. Suppose q = c - 9. Suppose 5*i + 16 - 46 = 0. Calculate the greatest common divisor of c and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44754 + 175279 + 99018 = -4331*q for q.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 141. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*l - 1427200 = 0, 23*q = 19*q + l + 2854390. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b**2*l**3 - 54*b**2*l*m**2 + 8*b**2*l*m + 2*b*l**3*m**2 - 9*b*l + l**3*m + 70*l**2*m**2 wrt b.\nAnswer: 16*l**3 - 108*l*m**2 + 16*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-3)\/r*r)\/(r**(2\/3)\/r))\/((r\/((r**(-5)*r)\/r))\/r**3))**(-30) assuming r is positive.\nAnswer: r**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/6*(3\/18)\/(3\/(-9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4783 or 4830?\nAnswer: 4830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -12*z - 60. Let g be u(-5). Let f = -52 + 56. What is the nearest to g in f, -2\/51, -1\/3?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 3. Let n be k(2). Suppose -4 = d + 2*h, -h - 2 = 1. Suppose 5 = 5*z - 2*s, -4*z - s = -15 - d. Solve 2 + n = z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**3*g**2*k**3 + b**3*g*i*k**3 + 8*b**3*g - 2*b**3*i*k**3 - 46*b**2*g*i*k - 570*b*g**2*i*k**3 + b*i*k**2 + g*k**3 wrt g.\nAnswer: 20*b**3*k**3 - 1140*b*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289819*c = 290325*c + 14168 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 o when four letters picked without replacement from {o: 7, f: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by (8\/(-6))\/((-9)\/((-459)\/(-2))).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -2, 4, 0.252, -4.91?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 150, 367, 678?\nAnswer: 1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (1 - 3) + -5 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51716 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12847 + 13134.53. What is u rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66179.85912 rounded to the nearest one hundred?\nAnswer: -66200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*a + 430, -62 = 5*a + y + 476. Let u = -52 - a. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1767*c - 16 = 1763*c. Let f(r) = -r**2 + 3*r + 5. Give f(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -59556292 from -0.4.\nAnswer: 59556291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2662 divide 3135748154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 9*n = -272. Let u(j) = j**3 + 2*j**2 - 3*j + 1. Let c be u(-4). Let r = n - c. Solve h + 2*p - 8 = 0, 0*p - p = -3*h + r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20421 or -1572462\/77?\nAnswer: -1572462\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12898 + 0 + 5)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34008 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 7*d**2 + 10*d + 8. Let o(z) = 4*z**2 + 5*z + 4. Let u(l) = -6*n(l) + 10*o(l). Solve u(g) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t + 10878 = 38*t + 3*f, -2*t + 7224 = -5*f. List the prime factors of t.\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 8. Let n = -17 + 9. What is the units digit of x(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 4291*n + 1438948. What is b(-416)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n**5*n)*n)\/n**(-6)*(n*n**0*n)**0)\/(((n**(-6)\/n)\/(n\/(((n**(-6)*n*n*n)\/n*n*n)\/n)))\/(n\/n**0*n\/(n**(1\/7)\/n))) assuming n is positive.\nAnswer: n**(125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19*t**3 - 5*t + 2. Let f(h) = -h**3 - 28556*h + 57118*h - 28563*h. Give 3*f(o) - v(o).\nAnswer: 16*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144395382.\nAnswer: 2, 3, 17, 83273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118960662.\nAnswer: 2, 3, 17, 137, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -2*f**3\/3 + 11*f**2\/2 - 20*f + 29. Let c be y(2). List the prime factors of 181\/5*(c + 11).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let l(j) = 6*j**2 + 5*j. Let t(f) = -3*f**2 - 2*f. Let k(d) = 2*l(d) + 5*t(d). What is k(q(x))?\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ab (base 16) to base 6\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*k - 3)*(-1 + 4 - 2) + 5*k - 3*k - 3*k + (8*k + 15*k - 12*k)*(-2 - 2 + 8).\nAnswer: 41*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2105067925 to the power of 1\/2, to the nearest integer?\nAnswer: 45881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188345, -376688, -565033, -753380, -941729, -1130080?\nAnswer: -1318433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:34 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = 2*g + 4*a, 21 = -5*g + 2*a. Let b = 0.04 - 0.34. What is the second biggest value in b, g, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -5*s**5 + 53*s**4\/2 - 227*s - 11413. Differentiate y(l) wrt l.\nAnswer: -100*l**3 + 318*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/995 (b) -6 (c) 10\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2011, -2188, -2365, -2542, -2719?\n\"Answer: -177*n - 1834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - (2 + -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 129 = -4*c - 68, 0 = -3*c + 52*p - 218 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/((-29)\/((-348)\/24))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893 is divided by -3 + 2\/(22\/99)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063351.\nAnswer: 1063351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00049092 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-510)\/(-36))*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + p - p + (89 - 89 + 25*p**4)*(-5*p - 11*p + 6*p).\nAnswer: -249*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - q = 5*l + 192, -2*l = -4*q - 138. Let k be ((-5499)\/(-27))\/(7\/l). Round k to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3 + 0*i + 0*i**4 + 1\/3*i**3 + 0*i**2 + 1\/60*i**5. Let v(g) be the third derivative of t(g). Let m(c) = 3*c**2. Give m(v(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -103154 (base 6) to base 10\nAnswer: -8494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let w be p(-1). Let f = -12.674 + 12.9. Let q = f - 0.026. Which is the third smallest value? (a) -3 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30540595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-3\/5)\/a*a)))\/a**(4\/3)*a**0*a*a**1 assuming a is positive.\nAnswer: a**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 = 5*s + 2*r, -4*r = 2*s + 2. Solve -8 = -s*m - m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, -17.5, 1, 2\/5, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -9*s**8\/224 - 6*s**7\/35 + 5*s**6\/8 + s**5\/10 - 17*s**4\/16 - s**3 + 2*s**2 - 171*s. Let x(q) = 0. What is q?\nAnswer: -4, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*m - 76. Let d = 26 - m. Suppose -d*t + 261 = -4*t. What are the prime factors of t?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/6)\/((-16)\/216). Suppose 1 + 14 = -5*m, -5*m - f = 3*o. Suppose o*h = 19 + 3. What is the remainder when 32 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -282142 != -279089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*k - 15864, d - 530 - 3439 = k. Is 3964 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 7*t. Let b be x(7). Let p(y) = -15 - 2*y + b*y + 15. Let w(i) = i**2. Give w(p(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 2*n**2 + 0*n**3 + 0*n**5 + 4*n + 1\/5*n**6 + 0 + 0*n**4. Differentiate h(x) wrt x.\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*-2*(-6)\/(-24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*4)\/((-128)\/(-416)) + 0. Solve -3*y + s + 13 = 0, 16*s + 3 = -3*y + o*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100224312 + -4?\nAnswer: 100224303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -2*h**3\/3 + 19*h**2\/2 + 13*h - 55. Let o be i(9). Calculate the highest common divisor of o and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 6*b - 10. Let g be s(-10). Let o = g + -50. Let z = 55 + o. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40444.55 days in seconds?\nAnswer: 3494409120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65651, -262903, -591655, -1051901, -1643635?\n\"Answer: x**3 - 65756*x**2 + 9*x + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -301185635.\nAnswer: -301185634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -446755484 and 3?\nAnswer: -1340266452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5276230?\nAnswer: 2, 5, 527623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 25\/30 - ((-1007487)\/54 + 10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 14 - (4 - 7 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*y**2 - c*y - 968*c - 10*y**2 + 243*y + 17 wrt y.\nAnswer: -4*c*y - c - 20*y + 243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8544379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by 820.\nAnswer: -61\/820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5.4840418*0.5\nAnswer: 2.7420209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29882026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 31679 + 31679.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 25570.4.\nAnswer: 51140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.54, -7, 6 in descending order.\nAnswer: 6, -2.54, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f**4\/19 + 19687176*f**3\/19 - 27562082*f**2\/19 - 31499496*f\/19 + 15749752\/19 = 0. Calculate f.\nAnswer: -1968719, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/(f\/(f\/f**(2\/11))))\/(f**2*f**(6\/5)) assuming f is positive.\nAnswer: f**(-208\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -8\/1295?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5010109663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*z**3 - 8*z**4 - 81 + 243*z - 2 - z**3 - 243*z with respect to z.\nAnswer: -32*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 24362 and 24362 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 - 188.8. Sort 4\/7, k, 0.05, 5\/3 in decreasing order.\nAnswer: 5\/3, 4\/7, k, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcwjwju. What is prob of sequence jwcw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-6)*5\/((-100)\/30)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 3, 0, -447.\nAnswer: -447, -2\/9, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.813048 rounded to 1 dp?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/2 + 36*9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(80\/(-14)) - 1\/1.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u - 2*s - 90 = 0, 0 = -3*s - 15. Factor -u*j + j**2 - 171 - 5*j**2 + 171.\nAnswer: -4*j*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19652*f**4\/3 - 70516*f**3 + 110840*f**2 - 187600*f\/3 + 12000 = 0. What is f?\nAnswer: 10\/17, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 3. Let k be a(-3). Let y be 88\/k + 8\/24. Is (-13035)\/(-25) + (-6)\/y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*2*sqrt(128) + -3)**2 - (3 + sqrt(128) + 2 + -5)).\nAnswer: -1568*sqrt(2) + 32804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) 593 (c) 5 (d) -19 (e) 2 (f) 0 (g) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5597470703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*g**3 + 214*g**3 - 113*g**3 + g - g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2. Let g(i) = -i - 2*i + 2*i. Give f(g(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -10. Suppose -20 = -5*q - 4*r + i, 0 = q + 4*r - 24. Solve -3*j + 2*j + 1 = -3*a, -2*a - q = 3*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107\/95 + -10\/19. Let b = -2.1 - 1.9. What is the third biggest value in o, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-6))\/(1\/6). Solve 0*n - 9 = -b*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113\/68 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 - (-2 - -1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 9. Let d be a(12). Suppose -2*y - 3*j = -0*j + 5, 4*y + j = -5. Let n be 9\/6*((-1)\/(-3) - y). Solve n*k + 10 = -d*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013649 to the power of 1\/2, to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 10*p + 1 + 4*p**2 - 7*p. Let l be q(-11). Suppose 5*v + 56 = l. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*y**2 + 31*y + 5599.\nAnswer: 258*y + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let r be g(2). Let w(y) = -y**2 - 6*y + 12. Let p be w(-7). Put p, r, -4 in descending order.\nAnswer: p, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-36)*(-6)\/(-4)*(-328)\/82.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278422 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 294 - 297. Put g, 3, 5, -9 in decreasing order.\nAnswer: 5, 3, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 1857?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/50*(-26)\/78\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11870*a - 128929 = 40931 - 988890 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -233*k - 538*k + 4 - 907*k - 4 as f + a*k and give a.\nAnswer: -1678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6881\/90 + -2297\/30. Let l = 0.3 + -0.1. Put 2\/3, l, 0.5, c in descending order.\nAnswer: 2\/3, 0.5, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-2) + 0)*-5. Suppose o*m - 17 = -2. Suppose 2*b + m*b - 170 = 0. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/((g\/(g\/(g*g**(-7\/3))))\/g))\/(g*g\/((g*g*(g*g**(1\/29)*g)\/g)\/g)*g*g))**(4\/3))**18 assuming g is positive.\nAnswer: g**(1648\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 12 = -3*w - 3*j, -10 = -5*w + 4*j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqww when four letters picked without replacement from qkwqwqqkwwww?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/5)\/((-23)\/460). Let x(h) = 7*h**2 + 6*h. Let s be x(-4). Calculate the greatest common factor of p and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from {d: 10, c: 7, u: 1}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/(sqrt(27)\/sqrt(3)) - (sqrt(13) + (3 + sqrt(39)\/sqrt(3) - sqrt(13))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = -5*w + 187. Suppose -88 = -2*c - 3*r, 3*c - r + 0*r - w = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.53 + -7.4173. Let i = r - 0.112047. Round i to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7.6. Is -0.1 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = -3*u + 3*u - 2*p - 26, 4*p = 37*u + 18*u + 374 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548 is divided by 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-1 - -5) + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i + 6. Let l be k(-5). Let b(u) = 2*u**2 + 4*u + 5. Suppose 0 = -z - f + 10, 23*f = 19*f + 8. Calculate the remainder when b(l) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82764 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - n + 0*n)*(-151*n - 89*n - 13*n) as r*n + x + g*n**2 and give g.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.06 - 7.06. Is u > -0.0378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = 703*j - 705*j. Suppose -j = -6*y - 77. What is the remainder when 123 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -1\/3 (c) -5 (d) -0.3 (e) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/17 - 756*u**2\/17.\nAnswer: 2*u**2*(u - 378)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:46 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*14\/(-28)*4\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 386\/153 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -243, -223, -183, -117, -19, 117, 297?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 165 = -2*s - 2*s, -5*s = -5*c + 210. Let k = 101 + s. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 42*l + 41*l + 867*l**4 - 38*l**3 - 866*l**4 as a + z*l**3 + t*l + p*l**2 + w*l**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 20*o**4 + 2776*o**3 - 36576*o**2 + 40424*o - 6644 = 0.\nAnswer: -151, 1\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1398)\/(-264) - (-49)\/(-28) - 3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**4 - 87*v**2 + 87*v**2)*(2 + 0 - 3) + 10*v**2 + 14*v**2 - 25*v**2 + v**4.\nAnswer: 11*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**5\/20 + n**4\/12 - n**3\/3 - 2*n**2. Let w be (-11)\/5 - (-2)\/10. What is v(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*x - 13*x. Suppose 18 = 4*r + k - x, 0 = 5*r + 4*k - 28. Solve -r = u - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 10:03 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 610*p - 6094. Let d be b(10). Let a(i) = 139*i**3 + 2*i**2. Let v be a(2). Suppose d*h = -2*h + v. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*l - 1322 = 858, 0 = -3*s - 4*l + 3242. Does 85 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*u = 3*r - 2973, -u + 3 = 0. Let z = 1798 - r. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 117, 169, 221, 273?\n\"Answer: 52*r + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 8 = 35. Let d(n) = -n**2 + 10*n - 4. Let v be d(k). Find the first derivative of -8*p**3 + 13*p**3 - 3 - v wrt p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4048 = -3*f - 1024. Calculate the least common multiple of f and 2520.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.2 + 3930909.\nAnswer: 3930937.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m + 28. Suppose -4 = 5*k - m. What is the second derivative of 5*y + 2*y**k + 0*y - 3*y wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 671b9 (base 13) to base 10.\nAnswer: 187066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 52 + 7b6?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56*(-60)\/4935*-47.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a24 (base 16) in base 10?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67198 + 67195. Let a(s) = -2*s. Let c(q) = -q. Let u(k) = -3*a(k) + 8*c(k). Determine u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*x**4 + 7*x + 167?\nAnswer: 20*x**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 50*h**2 - 26*h - 164. What is the lowest common multiple of 14 and n(-50)?\nAnswer: 7952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3 + 0)*(-27 - (-18179)\/637).\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -33, 379?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 335*t - 132*t + 5876 - 5876 - 103*t - 105*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + t - 260. Let n = -28 - t. Does 22 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88*66868\nAnswer: -5884384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.3 (b) 4 (c) -19827.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**2. Let f(t) be the first derivative of -t**4\/3 - 14*t + 6. Let s(k) be the first derivative of f(k). Give s(c(v)).\nAnswer: -196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 54 = 0. Let n be 2\/9 - (-92879994)\/v. Round n to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = 502*g - 520*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593839.\nAnswer: 593839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -1\/16*f**4 + 0*f - 1\/6*f**3 + 3 + 0*f**2. Factor v(c).\nAnswer: -c**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/249, 13\/4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100800 and 367920.\nAnswer: 7358400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4246 and 15422?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6\/(-4))\/(-2*(-8)\/(-512)) is divided by 2\/(-5) + 37\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79\/(8058\/(-68)))\/(54\/(-1215)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + 17*m - 65. Let g be h(5). Let s be (-4)\/g + (-308)\/(-165). Factor 0*t**3 - 3\/4*t**s - 3\/8*t**5 + 3\/8*t + 0 + 3\/4*t**4.\nAnswer: -3*t*(t - 1)**3*(t + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 8:18 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11641 + 11643. Suppose 8 = -5*c + 3*m, -5*c - 4*m - 28 = -2*c. List the prime factors of 1 - i - (-217 + c).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 12*r - 15. Let k be n(-10). Suppose c = k*c - 52. Let b be c + 2\/4*0. Calculate the greatest common factor of 65 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111.21 + 69.02. Let v = 31 - -11. Let o = v + l. What is o rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 3) + (2 - -3). Suppose 3*q = 15, -g + 66 = -a*q - 1. Does 23 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 944973*u - 6. Let b(s) = 28*s. Give h(b(c)).\nAnswer: 26459244*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*m + 15 = -8, -4*m + 7 = 3*u. Solve -11*i - u = -16*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 12, r: 6}. What is prob of sequence jrrr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.4, 0.08, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 12*v**2 + 12*v - 2. Let y be w(-9). Let b = y + -130. Calculate the greatest common factor of b and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 2*s**3 - 3*s**3)*(5*s**2 - s**2 - 3*s**2) + 361*s**5 - 43 + 43 + s**5 + 6*s**5 - 2*s**5.\nAnswer: 365*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -4, -0.4, -9\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(8928\/(-637)) - ((-642)\/(-24))\/(-107) and -29\/72.\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h + 13*h - 2*h - 5*h. Let n = 8 - 6. Let v(c) = 3*c**2 + 2. Let m(u) = 4*u**2 + 3. Let f(j) = n*m(j) - 3*v(j). Give f(d(b)).\nAnswer: -144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 246*t**2 - 8650*t - 16039. Calculate p(203).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1007532 (base 9) to base 16\nAnswer: 83192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 114556*u - 4*u**2 - 114556*u. Let m(y) = -18*y**2. What is p(m(t))?\nAnswer: -1296*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 4*q - 8*q to the form x + j*q and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.3, 0.05, -1460 in decreasing order.\nAnswer: 13.3, 0.05, -1460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 9 = 239. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**2 - 369*y - 196. Give l(-73).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2 + 22*a**2 - 42*a**2 + 21*a**2 + 5*a. Let z = 4 - 9. Calculate l(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9079544, -9079545, -9079546?\nAnswer: -9079547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from meigmeai?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/80*(27\/6)\/(6\/2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -10. Let c = p + 4. Let x(f) = f**2 + 4*f + 5. Let t be x(c). Solve -5*g - 15 = t*d, 0 = -5*d + 4*g - 3 - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 818*b - 2053. Let p(l) = -816*l + 2050. Let h(x) = -5*a(x) - 6*p(x). What is the first derivative of h(m) wrt m?\nAnswer: 806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 1 + 1)*(2*h + 2*h - 7*h) + 76*h**2 + 9569 - 2*h - 9569.\nAnswer: 79*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6804 and 35.\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose 0 = r*h - 2 + 14. Let d(f) = -f**3 - 4*f**2 - f - 2. What are the prime factors of d(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 197 = 6*u. Solve -u = -6*n - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201.61564 + -200.53. Let q = m + 174.60636. Let k = q - 176. What is k rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576 divided by -144.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1185301 (base 10) to base 2\nAnswer: 100100001011000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309618320.\nAnswer: 2, 5, 11, 193, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1486, -2942, -4362, -5746, -7094, -8406, -9682?\nAnswer: -10922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3837\/5 - 764. Let c = 1489\/196 - -11\/392. What is the common denominator of h and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 4:27 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/21)\/((-7)\/2*(-201)\/(-3283))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52688*r + 52866*r + 7476 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 310 and 6?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Suppose -t - 3*t - 62 = -2*v, 0 = -r*t + 2*v - 32. Is t\/(3\/(3*-1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*t = -0*t + 12, 0 = 5*q + 4*t - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5201, 5806, 6815, 8228, 10045, 12266?\nAnswer: 14891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 19216*r**2 - 43*r - 63. Let b be p(11). Round b to the nearest ten thousand.\nAnswer: 2320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 5*w**2 + 4*w + 3. Let k be x(-5). Suppose 2*m + 195 = 11*a, 5*m + 103*a = 100*a + 31. Sort m, k, 4, -3 in ascending order.\nAnswer: k, m, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246 - -261. Solve -k - 2 = -5*n - y, -n = -2*k - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 13 + 0 - 16*l + 0*l**2 - l**2. Suppose 88 - 400 = 24*p. Does 11 divide g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 31*j - 82. Let v be i(-28). Suppose 20 - v = 2*f. What is the remainder when 78 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(12\/2302) - 14\/21.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1044927?\nAnswer: 1044923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 40. Suppose r + 3*r = -5*f + y, 3 = 3*f. What is the tens digit of 349\/r + (-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -26. What is the remainder when 57 is divided by -4 - 140\/p*6\/(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 7. Let g be k(-12). Suppose -g*s + 35 = 5*r, -2*r = -4*s + 38 + 8. Suppose -4*h = -s - 6. Solve -5*y - 4*q - 32 = 0, 6*y = h*y + q - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13\/137 + -3829\/1370. What is the common denominator of 33\/5 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805 - 120.\nAnswer: -925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31961443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 266 + -158. Suppose 113*o = j*o + 5. Solve o = 6*v - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 12*z - 11. Let x be a(14). Suppose -5*u = b + 2*b + x, -4*b = u. Does b = -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 12. What is the third derivative of 5*f**5 + 2*f**5 + f**2 - 2*f**5 - t*f**2 wrt f?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - o - 2. Determine b(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1 = -3*y, -2*x + 5*x = -3*y + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 194.\nAnswer: -1552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 156, -94, 0.3, -4 in ascending order.\nAnswer: -94, -4, 0.3, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b - 237 = -433. Solve -165*n + b = -167*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -7. Let w = y - 2. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-12))\/(1\/3). Sort 7, 1, d in decreasing order.\nAnswer: 7, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w. Let v(z) = -11*z. Let j(u) = 2*v(u) + 5*x(u). Let d(y) = -49*y**2 + 3*y. Give d(j(h)).\nAnswer: -196*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -9 + (2 - -5). Solve 3*l - 5*k = 0, i*l - 2*k + 29 = -5*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 4:38 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -50, 39, 160?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 25*j**2. Let p(b) be the third derivative of 5*b**4\/24 - 298*b**2. What is m(p(r))?\nAnswer: 625*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -2217 = -8873\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*c - 16*c - 37*c + 92*c to a + f*c and give f.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 18 = f, -2*s + 12 - 8 = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2\/11 (c) 118 (d) 1 (e) 455.378 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 52 - 12. Suppose 3593 = 3*u + 53. Suppose -x*a + u = -a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3264322?\nAnswer: 2, 331, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -29*n - 133. Let d = 101 - 106. What is the least common multiple of f(d) and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 - 0?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*g**3 + 7*g**2 - 4*g**3 - 6*g**2 wrt g?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93627 + -0.2\nAnswer: -93627.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344995187?\nAnswer: 31, 1447, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130763?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 19, -5 in descending order.\nAnswer: 19, 4, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o + 28. Give x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-33))\/((-2)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -652 divided by 4?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*j + 18, 0*y - 5*j - 6 = -y. Solve -y = 3*g + x - 4*x, 3*g = -3*x + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.121487 nanometers in meters?\nAnswer: 0.000000009121487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 + 9*g**4 + (1 + g**3 - 1)*(0*g + 3*g - 2*g).\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**2 - 776226*o + 50210566923 = 0.\nAnswer: 129371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/4040627?\nAnswer: 3\/4040627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**4 - 4575*x**3 - 111690*x**2 - 392020*x - 373800 = 0.\nAnswer: -890, -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*a + 348*a + 138908 = 0. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -cd65b (base 15) in base 8?\nAnswer: -2373013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/1)\/(6\/(-9)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 487038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 205718383 to the power of 1\/2, to the nearest integer?\nAnswer: 14343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128708 - 492299 = -71*m. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*x - 76, -2*g - 3*x + 1 - 60 = 0. Let s(z) = -z**2 - 7*z - 6. Let q be s(-6). What is the common denominator of g*(-11)\/12 - q and -11\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 29*h**2 + 178*h + 71. Differentiate x(c) with respect to c.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 4*z**2 - 2*z - 2. Let f be (-2)\/(-2 - 10\/(-4)). What are the prime factors of p(f)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1100 and 2530?\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503 (base 14) in base 8?\nAnswer: -7217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000803 to five dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(-14))*f)\/f**(-26)*f**(12\/11)*f\/f**(2\/91) assuming f is positive.\nAnswer: f**(42111\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 462*v**3 + 537*v**2 - 2*v + 2. Let c(g) = 458*g**3 + 536*g**2 - 3*g + 3. Let t(w) = 3*a(w) - 2*c(w). Find the third derivative of t(f) wrt f.\nAnswer: 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/14 - 38\/(-35). Let l = 7 + -6. Is l >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*j + 16 = 27*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72783859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Let p = -87 + 92. Solve x = 4*a + a - p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.422 + 0.5.\nAnswer: 0.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 - 80*t**2 - 9*t + 182. Determine b(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84487 and 50843?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/24 - (-7)\/28*5469.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-7 + 4)) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-105)\/(-6) - 3\/3)\/((-5)\/(-150)) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -63. Calculate the greatest common divisor of 65 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 13*x**2 + 44*x + 57. Let m(d) = -7*d**2 - 22*d - 29. Let w(r) = 6*j(r) + 11*m(r). Let l be w(-21). Factor 30*n**2 - 5*n - n**3 - 12*n**l - 12*n**2.\nAnswer: -n*(n - 5)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225*p**2 - 60*p + 5.\nAnswer: -5*(3*p + 1)*(15*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23836 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 0 - 5\/42*v**7 - 2\/3*v**6 + 11\/4*v**5 - 5\/2*v**4 - 13*v + 0*v**2 + 0*v**3. Factor w(r).\nAnswer: -5*r**2*(r - 1)**2*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-2\/3))\/s)**(9\/4))**(1\/7) assuming s is positive.\nAnswer: s**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-81)*-24)\/2. Which is greater: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 times -6?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609511 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 6*d. Let v(y) = -123*y. Calculate n(v(k)).\nAnswer: 45387*k**2 + 738*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -122, 7, 0.3, 1\/5, 18, 0.4 in descending order.\nAnswer: 18, 7, 0.4, 0.3, 1\/5, -1, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/5 + 242*v**4\/5 - 11806*v**3 - 301312*v**2\/5 + 59029*v\/5 + 60214 = 0.\nAnswer: -391, -5, -1, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 26*r - 425. Which is greater: 13 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2550 divided by 8739\nAnswer: 850\/2913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.2 - 10. Let z = 0.03 - 0.13. Let v = z + x. Round v to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/9 and 5\/(-5) + (-19)\/(-8)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-7)\/1 - -5)\/(14\/(-1)). Let n(u) be the first derivative of -1\/14*u**4 + a*u**2 + 4 + 4\/7*u - 4\/21*u**3. Factor n(l).\nAnswer: -2*(l - 1)*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 227251.7 tonnes to kilograms.\nAnswer: 227251700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**3\/(b\/(b\/b**1*b))**(3\/5) assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*157.281\nAnswer: 314.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 16*c**2 + 27*c + 26. Does 31 divide r(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -288. Suppose 2*h + h - x = 0. What is the highest common divisor of 60 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 48*l - 9. Let u(y) = -y + 1. Let x(h) = -b(h) - 9*u(h). Let o be x(-1). Let a = -12 + o. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -19. Suppose 5*z = -5*f + 20, -6*f = -2*f - 3*z + 12. What is the fourth biggest value in 0.04, 5, u, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1035945743 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n - 4*k - 24 = 0, -n + 2 = -2*k. Let u(f) = -f. Let t be u(n). Find p such that -p**t - p**3 + 2*p**5 - 3*p**5 + 3*p**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3887 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.4373516.\nAnswer: 0.4373516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26222*a*o**3 - 1056*a + 4 wrt o.\nAnswer: 78666*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38062, 151734, 341012, 605890, 946362, 1362422, 1854064, 2421282?\nAnswer: 3064070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-10)*(-2 + -3). Let n be l\/(3 - (-15)\/(-4)). Suppose -n*h + 20 = -20. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2) + (-1)\/2. Suppose -2*o = 2*u + 3*o + 14, 2*u - 4*o = -14. Let k be 16\/u + 2 + 0. Which is the second biggest value? (a) k (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**6\/360 - 7*o**4\/24 - 3*o**2. Let q(j) be the second derivative of k(j). Let g(w) = 52*w**2. What is q(g(x))?\nAnswer: 104*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/(56\/18 - 3). Solve 2*v - 8 = 3*j + 5, j - b*v + 2 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 22 = 31. Factor -9*p**2 - 4 + 0*p**3 - x*p**2 - 4*p**3 - 7*p - 5*p.\nAnswer: -4*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2892 and 67\/20.\nAnswer: 14460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -32. Let c = k + -31. Suppose 0 = 3*s - 3*m - 3, -4*s + 2*m + c*m = -8. What is the remainder when 3 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49b1 - 6?\nAnswer: 49a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2036*t + 0 + 2030*t + 0 - 4084*t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 10*f - 45. Suppose 0*l - 2*l = i + 3, 2*i = 3*l + 22. Let r be n(i). What is the greatest common factor of r and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*m - 11 + 32. Let h = 1.7 - 2. What is the closest to m in h, 0.11, -5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59974 by 2.\nAnswer: 29987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 26. Calculate the remainder when j(10) is divided by (-732)\/(-42) + 1\/((-14)\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12734419.\nAnswer: 12734419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - z = 47, 5*x + 2*z = 62 + 26. Calculate the remainder when 7755 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 2*o - 78*o**2 + 170*o**2 - o**3 + 0*o - 80*o**2 - 78. Calculate the remainder when c(10) is divided by 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 76*o**2 - 11394*o - 873. Give p(150).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 + (55138\/16 - 32\/256) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 25419857.4 seconds?\nAnswer: 294.2113125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621?\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.95 - -47.95. Let q = -4 - -1. Which is the nearest to 2\/5? (a) q (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -6\/141992015 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Let v = 0 + f. Suppose -v = m - 11. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1408\/44 + -29)*(1 - -4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*(1*sqrt(117)*3)\/(sqrt(2880)\/sqrt(5)))**2*3.\nAnswer: 8775\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-3\/5))\/(w\/w**(-4\/7)))\/((((w*w**(-9))\/w)\/w)\/(w*w*w\/(w*w**21))))**(8\/9) assuming w is positive.\nAnswer: w**(-2848\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*t, 0*t + t - 3*p = 10. Let z = 9616 - 9617. Sort t, z, 3.\nAnswer: t, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 534 - 339. Suppose -3*y - 2*m - 15 + 201 = 0, -x = -3*y + m. Calculate the smallest common multiple of y and 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2380, -20, -2, -3.\nAnswer: -20, -3, -2, 2380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxk when four letters picked without replacement from xdjkkkkjk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 114. Let o be h(48). Solve -23*x - 10 = -o*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -3*f + f. Suppose 5*r = -2*z + f, 3*z - 5*z + 16 = -4*r. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-84))\/((-12)\/32).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 7*p - 15419 = 0. Suppose -3*m - 4*q + 931 = -0*q, -3*m = -2*q - p. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 6 + (-6 - -2). Suppose 5*d - 5*v = 2*d + l, 12 = 4*v. Solve 0 = d*c - 2*c + 20, 0 = j + 3*c + 18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -1, -29, 3, -708 in increasing order.\nAnswer: -708, -29, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*w - 2)*(-1 + 0 + 3) + 0*w - 14 + w + 10 as t + n*w and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4735874 (base 10) in base 13?\nAnswer: c9a7c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 275*t - 530.\nAnswer: -5*(t + 2)*(t + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450*q = -444*q - 60. Let h = -3 - -6. Suppose k + 1 = -h*j, -k + 4*j = 2*k - 10. Solve -k*y + 3*y - 14 = 5*w, -2*y + q = -w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -1038598?\nAnswer: -1038598.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 11*s = -10*s + 1290, -5*n + 3212 = 4*s. What are the prime factors of n?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 57*z**2 - 67*z - 1072. Calculate n(55).\nAnswer: 1293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 15*v**2 + 5*v - 81. What is the remainder when z(7) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p - 164 = 0. Let j = 39 + p. Put 3, j, 0.2, 0.1 in ascending order.\nAnswer: j, 0.1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 506067 + -3109009. Let o = -2602941.1999965 - h. Let j = o + -0.8. Round j to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 11}. What is prob of picking 1 o and 2 q?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 62\/4. What is the units digit of ((-3)\/(-2))\/((-4)\/z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 233, 241, 261, 299, 361, 453, 581?\n\"Answer: c**3 + c + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 30*q**5 + 267*q**2 + 3*q + 3. Let k(t) = 29*t**5 + t**3 + 268*t**2 + 4*t + 4. Let y(g) = 4*c(g) - 3*k(g). Find the third derivative of y(i) wrt i.\nAnswer: 1980*i**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11557738921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 739 + -733. What is the remainder when 48 is divided by 108\/(-24)*((-40)\/d - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 162309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57025?\nAnswer: 5, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joojoppokkk. Give prob of picking 2 o and 2 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(130) + -4*sqrt(130)*-1 - sqrt(130))*-5)\/((sqrt(100) + -1*(sqrt(100) - (-2*sqrt(100) + sqrt(100))))\/sqrt(10)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 339*p**4 - 266*p**4)*(-5 + 3 - 4).\nAnswer: -438*p**4 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 27*b - 2*b - 297 = -1737 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8382*p + 12685*p - 9411*p as m*p + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((4 - 0) + (-4 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*h - 375 = -81*h. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 2*i**3 + i**3 + i**3.\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 33, -2, -4\/7, -9, -1.6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -94.06 + 61.75. Let j = 0.31 + w. Let h = 32.3 + j. What is the second smallest value in 4\/5, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u - 8192\/5*u**2 + 0 - 2\/5*u**4 - 256\/5*u**3.\nAnswer: -2*u**2*(u + 64)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 1010100100011?\nAnswer: 1010100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:10 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30855836 and 16?\nAnswer: 123423344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49286 and 5005664.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 762.\nAnswer: -5\/762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (9 - 3 - 4) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(1 + (-1*sqrt(1584) - sqrt(1584))**2 + sqrt(1584)).\nAnswer: 24*sqrt(11) + 12673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32920 = -987*u + 105*u - 764*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 1 - 1)*(0*s**2 + 2*s**4 + 0*s**2) + (0*s**2 + 3*s**2 - 6*s**2)*(-7*s**2 + 7*s**2 + 45*s**3).\nAnswer: -137*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.14 rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 - -27 - (-2 + (3 - 3) + (-4 - -1))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 592429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95167*m*n - m + 7890 with respect to n.\nAnswer: 95167*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8669.92 from -2.1.\nAnswer: -8672.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -1\/270*d**5 + 1\/540*d**6 + 1\/945*d**7 - 1\/1512*d**8 + 6*d**2 + 0*d**4 + 0 + 0*d**3 + 0*d. Find l such that k(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 - 78. Let q = -50 + j. Suppose -23*n + 19*n + 156 = 0. Calculate the greatest common divisor of q and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 174 + 578. What is the remainder when d is divided by 76?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, j: 1, b: 7, f: 1}. Give prob of picking 1 i and 1 f.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13*i = 12501. List the prime factors of i.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1059999, -1060095, -1060191, -1060287?\n\"Answer: -96*h - 1059903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 106.2025398s?\nAnswer: 0.0001755994375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (23 - 7)*(5 + (-156)\/32). Let m = 14 - 10. Solve -3*s - s = m*a + 32, -s + v*a = -1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9328*l - 2190 + 9328*l - 2*l**2 to b + s*l**2 + r*l and give b.\nAnswer: -2190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25836 by 6459.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:00 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 42978866 and -79704.\nAnswer: 42899162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 0.08 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 12 = 2*n, -4*y - n = -24. Let l = 9 - y. Find the second derivative of 0*p - 7*p - l*p**2 + 4*p wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 56. Let g be ((-6)\/4)\/(x\/(-40)). Suppose -3*y + r = g*r - 29, r = -4*y + 39. Calculate the remainder when 28 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 9 = 9. Let t be (95\/(-15))\/(p\/270). Round t to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*b**2 + 22*b**2 + 2*b + 18*b**2.\nAnswer: 98*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/12*4 + 16\/24. Suppose -3*y - 14 = 4*b, -m*y + b - 21 = 4*b. Put 1, 2, y in increasing order.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 12, t: 1}. Give prob of sequence tyt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.956469 kilograms to tonnes.\nAnswer: 0.006956469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -5. Put 0, -1, u in descending order.\nAnswer: 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -5, -4\/5 in ascending order.\nAnswer: -5, -4\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(-23*d**2 + 13 + 11*d**2 + 14*d**2).\nAnswer: -2*d**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(((n\/(n*n*(n*n*n**7)\/n)*n)\/n*n*n)\/n)\/n)\/n**(-5\/6))\/((n\/(n*n**2))\/n**8) assuming n is positive.\nAnswer: n**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 645 divided by 1966\nAnswer: 645\/1966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.355, -0.5, -4\/41, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 269155027?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 14. Let a(k) = k**3 + 7*k**2 + 12*k - 15. Let o(c) = 3*c**3 + 13*c**2 + 23*c - 31. Let m(r) = 5*a(r) - 2*o(r). What is the tens digit of m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*a - 431*a - 295*a - 22725 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(6\/(9\/3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 30215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*u = -431*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mji when three letters picked without replacement from widxwmwdwwiwwwdwjmwx?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v + 36. Let s be b(-10). List the prime factors of (-4 + 3 + 38\/(-8))*s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*2*-5)\/((2*sqrt(66))\/sqrt(11)) - -5*(sqrt(77)\/(sqrt(7)*-2) + sqrt(11))*-4)**2.\nAnswer: 9251\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52705684.\nAnswer: 2, 67, 196663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34426 - -34661. Calculate the remainder when i is divided by 97.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 21734 - 13577. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*o**2\/7 + 100*o\/7 + 48\/7.\nAnswer: 2*(o + 4)*(11*o + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)\/(l\/(l*l*l**(8\/11)))*(l\/l**(-7))\/l*l**27 assuming l is positive.\nAnswer: l**(1157\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 28) + 1 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 2 (b) 4 (c) -19\/2 (d) -170.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274853767?\nAnswer: 12743, 21569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -515 - -5660\/11. Let s = -1249 + 7535\/6. Calculate the common denominator of a and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10547 - -7453. Find the common denominator of 1225\/(-240) - 1\/3 and (q\/(-12))\/13 + 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23109.942 months to years.\nAnswer: 1925.8285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -4*d + 2*w, 4*d + w + 219 = -d. Let j = d + 174. Suppose -i - j = -2*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-100)\/(-14) + 1\/(-7). Put l, 2, 3 in descending order.\nAnswer: l, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 5*r**2 - 2*r - 5. Let a be z(4). Let l(f) = -f - 1. Let o be l(a). Which is bigger: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 283, 7, 3 in decreasing order.\nAnswer: 283, 7, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-72)*-6)\/(4\/18)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2348 - 839 - 2095 + 1218)*(h**4 + h**4 - h**4) - h**4 + h - h to the form s*h**4 + w*h**3 + u*h + g + l*h**2 and give s.\nAnswer: -4065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-1\/17)*v)*v**4*v assuming v is positive.\nAnswer: v**(86\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/24 and 527*(-24)\/2484 - -5.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 - 4\/7*j**2 + 12\/7*j.\nAnswer: -4*(j - 2)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7200103*l**3 + 29028013 wrt l?\nAnswer: -21600309*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -120. Let j = 36 + c. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3566, -7132, -10698, -14264, -17830, -21396?\nAnswer: -24962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3595 + 3547 = 0. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 y when two letters picked without replacement from {a: 1, y: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16765.4 + 146498.6. Let n = k - 163277.9973. Let j = 14 + n. Round j to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.67 - -1.17. What is the fourth smallest value in -1\/3, 1\/7, -2, r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 2*g**2 + g - 1. Let y(u) = 7*u**3 + 40*u**2 + 6*u - 6. What is 6*p(q) - y(q)?\nAnswer: -q**3 - 52*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*u + u**2 - 1 + 0 + 1 to c*u**2 + n + v*u and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4920 divided by -246?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 408 - 434. Suppose -2*j - 3*n + 24 = -j, 2*j - n = 27. Let d = u + j. Solve l = -5*v, d*l = 2*v + v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -12*f**2 + 5*f + 11. Let h(r) = -11*r**2 + 4*r + 9. Determine -3*h(m) + 2*q(m).\nAnswer: 9*m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 - 7*k**2 - 72*k + 22*k - 15*k**2 + 35*k as a + z*k**2 + q*k and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 4*g**2 - g**2 + (-16*g - 49 + 49)*(-1 + 1 + g) + 11*g**2 - 2*g + 5 + 10*g**2 - 12*g**2.\nAnswer: -5*g**2 - 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-127)\/(10\/12 - (-216)\/(-162)) is divided by 90?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.257 + -2.317. Let w = g - -0.06. What is the second smallest value in 2, w, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110 + 97. What is the units digit of ((4 + o)\/(-3))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/2 + 1 + -1. Let g(n) = -b*n + 2 - 7 + 5*n. Is g(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*c - i + 4, -2*i = -c + 6. Suppose -5*o - 5*y + 35 = c, 0 = 5*o - 0*o - 4*y - 35. Does 6 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/4)\/((-1)\/(-10)). Suppose 0 = -0*h - h. Suppose 39*g + 6*g - 90 = 0. Solve -5*c + 22 = -l, -z*c + 19 = -g*l - h*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 13. Suppose 6 = -0*r + 3*r. Suppose r*f = -3*j + 7, 0 = 3*f - 0*f - 2*j - 30. Calculate the remainder when a(0) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -133, -134, -135, -136, -137?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let s(l) = -2*l**2 + 2*l + 1. Let k(t) = -s(t) - 6*w(t). Let x be k(-3). What is the second derivative of 7*c**4 + x*c + 0*c - 3*c**4 + c wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*l)*(2 - 1 + 1) - 6*l + 8*l + 4*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -29*p**6\/15 - 17*p**5\/20 - 20*p**4\/3 - 5*p**3\/6 - p**2 - p - 2232. What is the third derivative of u(z) wrt z?\nAnswer: -1392*z - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 3. Let t(z) = z. Let a be t(-1). Let y be (2 + a)*(-3 - -16). Suppose 2 + y = 3*x. Determine b(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/18 + 690\/3105. Put 59, -3, t, -1 in decreasing order.\nAnswer: 59, t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 16) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3264*r**3 + 18*r**2 - 17*r - 1. Let t be x(1). What is the greatest common divisor of 51 and t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2\/5, 4, -14, 1.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3, 4*y = -2*v - 0*v + 42. Suppose 2*p - 18 = -2*x - 0*x, -p + 19 = 3*x. What is the greatest common divisor of y and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001101 - -11001?\nAnswer: -10010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168359345 a multiple of 12215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-8) + (-2)\/8. Suppose -10 = -j*x + 5. Solve 3*k + 12 = -x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(6\/47)*-3. Let j = 33 - x. Let t be j\/(-6) + (-8)\/6. Is t != -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 = -13. Let p = 17.4 - 0.4. Let j = p + -17.1. What is the second smallest value in -3, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -707*z**2 + 325*z + 324. Calculate u(-1).\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 945\/882*35\/(-50).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2.2, -5\/13, -31.18?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -7 - (23 + -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 47.\nAnswer: -1, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}